4.351 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.051 * * * [progress]: [2/2] Setting up program. 0.053 * [progress]: [Phase 2 of 3] Improving. 0.053 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.055 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.056 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.058 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.058 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.058 * * [progress]: iteration 1 / 4 0.058 * * * [progress]: picking best candidate 0.060 * * * * [pick]: Picked # 0.060 * * * [progress]: localizing error 0.067 * * * [progress]: generating rewritten candidates 0.067 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.073 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.077 * * * [progress]: generating series expansions 0.077 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.078 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.078 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) 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 0.079 * [taylor]: Taking taylor expansion of (log N) in N 0.079 * [taylor]: Taking taylor expansion of N in N 0.079 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.079 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.079 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.079 * [taylor]: Taking taylor expansion of N in N 0.079 * [taylor]: Taking taylor expansion of 1.0 in N 0.079 * [taylor]: Taking taylor expansion of (log N) in N 0.079 * [taylor]: Taking taylor expansion of N in N 0.098 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.098 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.098 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.098 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.098 * [taylor]: Taking taylor expansion of N in N 0.098 * [taylor]: Taking taylor expansion of 1.0 in N 0.099 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.099 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.099 * [taylor]: Taking taylor expansion of N in N 0.099 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.099 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.099 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.099 * [taylor]: Taking taylor expansion of N in N 0.100 * [taylor]: Taking taylor expansion of 1.0 in N 0.100 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.100 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.100 * [taylor]: Taking taylor expansion of N in N 0.133 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.133 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.133 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.133 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.133 * [taylor]: Taking taylor expansion of 1.0 in N 0.133 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.133 * [taylor]: Taking taylor expansion of N in N 0.134 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.134 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.134 * [taylor]: Taking taylor expansion of -1 in N 0.134 * [taylor]: Taking taylor expansion of N in N 0.135 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.135 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.135 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.135 * [taylor]: Taking taylor expansion of 1.0 in N 0.135 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.135 * [taylor]: Taking taylor expansion of N in N 0.136 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.136 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.136 * [taylor]: Taking taylor expansion of -1 in N 0.136 * [taylor]: Taking taylor expansion of N in N 0.169 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.169 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.169 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.169 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.169 * [taylor]: Taking taylor expansion of 1.0 in N 0.169 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.169 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.169 * [taylor]: Taking taylor expansion of 1.0 in N 0.181 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.181 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.181 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.181 * [taylor]: Taking taylor expansion of N in N 0.181 * [taylor]: Taking taylor expansion of 1.0 in N 0.181 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.181 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.181 * [taylor]: Taking taylor expansion of N in N 0.182 * [taylor]: Taking taylor expansion of 1.0 in N 0.196 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.196 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.196 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.196 * [taylor]: Taking taylor expansion of 1.0 in N 0.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.196 * [taylor]: Taking taylor expansion of N in N 0.197 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.197 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.197 * [taylor]: Taking taylor expansion of 1.0 in N 0.197 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.197 * [taylor]: Taking taylor expansion of N in N 0.211 * * * [progress]: simplifying candidates 0.211 * [simplify]: Simplifying using # : (/ (+ 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)) (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))) (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 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)))) 0.215 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.219 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.227 * * [simplify]: iteration 2 : 1875 enodes (cost 250 ) 0.262 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.264 * [simplify]: Simplified to: (/ (+ 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)) (* 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))) (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 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))) 0.265 * * * [progress]: adding candidates to table 0.351 * * [progress]: iteration 2 / 4 0.351 * * * [progress]: picking best candidate 0.357 * * * * [pick]: Picked # 0.357 * * * [progress]: localizing error 0.361 * * * [progress]: generating rewritten candidates 0.361 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.366 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.373 * * * [progress]: generating series expansions 0.373 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.373 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.373 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.373 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.373 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.373 * [taylor]: Taking taylor expansion of N in N 0.373 * [taylor]: Taking taylor expansion of 1.0 in N 0.373 * [taylor]: Taking taylor expansion of N in N 0.374 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.374 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.374 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.374 * [taylor]: Taking taylor expansion of N in N 0.374 * [taylor]: Taking taylor expansion of 1.0 in N 0.374 * [taylor]: Taking taylor expansion of N in N 0.390 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.391 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.391 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.391 * [taylor]: Taking taylor expansion of N in N 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.391 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.391 * [taylor]: Taking taylor expansion of N in N 0.391 * [taylor]: Taking taylor expansion of 1.0 in N 0.393 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.393 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.393 * [taylor]: Taking taylor expansion of N in N 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.393 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.393 * [taylor]: Taking taylor expansion of N in N 0.393 * [taylor]: Taking taylor expansion of 1.0 in N 0.418 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.418 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.418 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.418 * [taylor]: Taking taylor expansion of -1 in N 0.418 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.418 * [taylor]: Taking taylor expansion of N in N 0.418 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.418 * [taylor]: Taking taylor expansion of 1.0 in N 0.418 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.418 * [taylor]: Taking taylor expansion of N in N 0.421 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.421 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.421 * [taylor]: Taking taylor expansion of -1 in N 0.421 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.421 * [taylor]: Taking taylor expansion of N in N 0.421 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.421 * [taylor]: Taking taylor expansion of 1.0 in N 0.421 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.421 * [taylor]: Taking taylor expansion of N in N 0.453 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.453 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.453 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.453 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.453 * [taylor]: Taking taylor expansion of N in N 0.453 * [taylor]: Taking taylor expansion of 1.0 in N 0.453 * [taylor]: Taking taylor expansion of N in N 0.454 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.454 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.454 * [taylor]: Taking taylor expansion of N in N 0.454 * [taylor]: Taking taylor expansion of 1.0 in N 0.454 * [taylor]: Taking taylor expansion of N in N 0.462 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.463 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.463 * [taylor]: Taking taylor expansion of N in N 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.463 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.463 * [taylor]: Taking taylor expansion of N in N 0.463 * [taylor]: Taking taylor expansion of 1.0 in N 0.463 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.463 * [taylor]: Taking taylor expansion of N in N 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.463 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.463 * [taylor]: Taking taylor expansion of N in N 0.463 * [taylor]: Taking taylor expansion of 1.0 in N 0.477 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.477 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.477 * [taylor]: Taking taylor expansion of -1 in N 0.477 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.477 * [taylor]: Taking taylor expansion of N in N 0.477 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.477 * [taylor]: Taking taylor expansion of 1.0 in N 0.477 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.477 * [taylor]: Taking taylor expansion of N in N 0.477 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.477 * [taylor]: Taking taylor expansion of -1 in N 0.477 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.477 * [taylor]: Taking taylor expansion of N in N 0.477 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.477 * [taylor]: Taking taylor expansion of 1.0 in N 0.477 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.477 * [taylor]: Taking taylor expansion of N in N 0.500 * * * [progress]: simplifying candidates 0.501 * [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) 0.505 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 0.509 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 0.523 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 0.598 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 0.600 * [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) 0.601 * * * [progress]: adding candidates to table 0.688 * * [progress]: iteration 3 / 4 0.688 * * * [progress]: picking best candidate 0.691 * * * * [pick]: Picked # 0.692 * * * [progress]: localizing error 0.704 * * * [progress]: generating rewritten candidates 0.704 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.711 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.714 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.716 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.719 * * * [progress]: generating series expansions 0.719 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.719 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.719 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.719 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.719 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.719 * [taylor]: Taking taylor expansion of N in N 0.719 * [taylor]: Taking taylor expansion of 1.0 in N 0.720 * [taylor]: Taking taylor expansion of (log N) in N 0.720 * [taylor]: Taking taylor expansion of N in N 0.720 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.721 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.721 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.721 * [taylor]: Taking taylor expansion of N in N 0.721 * [taylor]: Taking taylor expansion of 1.0 in N 0.721 * [taylor]: Taking taylor expansion of (log N) in N 0.721 * [taylor]: Taking taylor expansion of N in N 0.739 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.739 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.739 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.739 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.739 * [taylor]: Taking taylor expansion of N in N 0.739 * [taylor]: Taking taylor expansion of 1.0 in N 0.739 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.739 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.739 * [taylor]: Taking taylor expansion of N in N 0.740 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.740 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.740 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.740 * [taylor]: Taking taylor expansion of N in N 0.740 * [taylor]: Taking taylor expansion of 1.0 in N 0.741 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.741 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.741 * [taylor]: Taking taylor expansion of N in N 0.770 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.770 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.770 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.770 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.770 * [taylor]: Taking taylor expansion of 1.0 in N 0.770 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.770 * [taylor]: Taking taylor expansion of N in N 0.771 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.771 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.771 * [taylor]: Taking taylor expansion of -1 in N 0.771 * [taylor]: Taking taylor expansion of N in N 0.771 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.771 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.771 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.771 * [taylor]: Taking taylor expansion of 1.0 in N 0.771 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.771 * [taylor]: Taking taylor expansion of N in N 0.772 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.772 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.772 * [taylor]: Taking taylor expansion of -1 in N 0.772 * [taylor]: Taking taylor expansion of N in N 0.808 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.808 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.808 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.808 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.808 * [taylor]: Taking taylor expansion of N in N 0.808 * [taylor]: Taking taylor expansion of 1.0 in N 0.809 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.809 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.809 * [taylor]: Taking taylor expansion of N in N 0.809 * [taylor]: Taking taylor expansion of 1.0 in N 0.820 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.820 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.820 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.820 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.820 * [taylor]: Taking taylor expansion of N in N 0.821 * [taylor]: Taking taylor expansion of 1.0 in N 0.821 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.821 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.821 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.821 * [taylor]: Taking taylor expansion of N in N 0.821 * [taylor]: Taking taylor expansion of 1.0 in N 0.833 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.833 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.833 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.833 * [taylor]: Taking taylor expansion of 1.0 in N 0.833 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.833 * [taylor]: Taking taylor expansion of N in N 0.834 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.834 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.834 * [taylor]: Taking taylor expansion of 1.0 in N 0.834 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.834 * [taylor]: Taking taylor expansion of N in N 0.847 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.848 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.848 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.848 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.848 * [taylor]: Taking taylor expansion of N in N 0.848 * [taylor]: Taking taylor expansion of 1.0 in N 0.848 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.848 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.848 * [taylor]: Taking taylor expansion of N in N 0.848 * [taylor]: Taking taylor expansion of 1.0 in N 0.862 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.862 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.862 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.862 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.862 * [taylor]: Taking taylor expansion of N in N 0.863 * [taylor]: Taking taylor expansion of 1.0 in N 0.863 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.863 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.863 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.863 * [taylor]: Taking taylor expansion of N in N 0.864 * [taylor]: Taking taylor expansion of 1.0 in N 0.875 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.875 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.875 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.875 * [taylor]: Taking taylor expansion of 1.0 in N 0.875 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.875 * [taylor]: Taking taylor expansion of N in N 0.876 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.876 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.876 * [taylor]: Taking taylor expansion of 1.0 in N 0.876 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.876 * [taylor]: Taking taylor expansion of N in N 0.889 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.890 * [approximate]: Taking taylor expansion of (log (log (+ N 1.0))) in (N) around 0 0.890 * [taylor]: Taking taylor expansion of (log (log (+ N 1.0))) in N 0.890 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.890 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.890 * [taylor]: Taking taylor expansion of N in N 0.890 * [taylor]: Taking taylor expansion of 1.0 in N 0.891 * [taylor]: Taking taylor expansion of (log (log (+ N 1.0))) in N 0.891 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.891 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.891 * [taylor]: Taking taylor expansion of N in N 0.891 * [taylor]: Taking taylor expansion of 1.0 in N 0.927 * [approximate]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in (N) around 0 0.927 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in N 0.927 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.927 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.927 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.927 * [taylor]: Taking taylor expansion of N in N 0.927 * [taylor]: Taking taylor expansion of 1.0 in N 0.928 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in N 0.928 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.928 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.928 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.928 * [taylor]: Taking taylor expansion of N in N 0.928 * [taylor]: Taking taylor expansion of 1.0 in N 0.948 * [approximate]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in (N) around 0 0.948 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in N 0.948 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.948 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.948 * [taylor]: Taking taylor expansion of 1.0 in N 0.948 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.948 * [taylor]: Taking taylor expansion of N in N 0.950 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in N 0.950 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.950 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.950 * [taylor]: Taking taylor expansion of 1.0 in N 0.950 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.950 * [taylor]: Taking taylor expansion of N in N 0.972 * * * [progress]: simplifying candidates 0.973 * [simplify]: Simplifying using # : (/ (exp (exp (log (log (+ N 1.0))))) N) (log (- (exp (log (log (+ N 1.0)))) (log N))) (exp (- (exp (log (log (+ N 1.0)))) (log N))) (* (cbrt (- (exp (log (log (+ N 1.0)))) (log N))) (cbrt (- (exp (log (log (+ N 1.0)))) (log N)))) (cbrt (- (exp (log (log (+ N 1.0)))) (log N))) (* (* (- (exp (log (log (+ N 1.0)))) (log N)) (- (exp (log (log (+ N 1.0)))) (log N))) (- (exp (log (log (+ N 1.0)))) (log N))) (sqrt (- (exp (log (log (+ N 1.0)))) (log N))) (sqrt (- (exp (log (log (+ N 1.0)))) (log N))) (- (pow (exp (log (log (+ N 1.0)))) 3) (pow (log N) 3)) (+ (* (exp (log (log (+ N 1.0)))) (exp (log (log (+ N 1.0))))) (+ (* (log N) (log N)) (* (exp (log (log (+ N 1.0)))) (log N)))) (- (log N)) (- (* (exp (log (log (+ N 1.0)))) (exp (log (log (+ N 1.0))))) (* (log N) (log N))) (+ (exp (log (log (+ N 1.0)))) (log N)) (+ (exp (log (sqrt (log (+ N 1.0))))) (sqrt (log N))) (- (exp (log (sqrt (log (+ N 1.0))))) (sqrt (log N))) (+ (sqrt (exp (log (log (+ N 1.0))))) (sqrt (log N))) (- (sqrt (exp (log (log (+ N 1.0))))) (sqrt (log N))) (- (exp (log (log (+ N 1.0)))) (log N)) (- (exp (log (log (+ N 1.0)))) (log N)) (- (exp (log (log (+ N 1.0)))) (log (* (cbrt N) (cbrt N)))) (- (exp (log (log (+ N 1.0)))) (log (sqrt N))) (- (exp (log (log (+ N 1.0)))) (log 1)) (- (log N)) (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 1) (exp (* (cbrt (log (log (+ N 1.0)))) (cbrt (log (log (+ N 1.0)))))) (exp (sqrt (log (log (+ N 1.0))))) (exp 1) (exp (log 1)) (exp (log (log (+ N 1.0)))) (exp (log (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))))) (exp (log (cbrt (log (+ N 1.0))))) (exp (log (sqrt (log (+ N 1.0))))) (exp (log (sqrt (log (+ N 1.0))))) (exp (log 1)) (exp (log (log (+ N 1.0)))) (log (exp (log (log (+ N 1.0))))) (exp (exp (log (log (+ N 1.0))))) (* (cbrt (exp (log (log (+ N 1.0))))) (cbrt (exp (log (log (+ N 1.0)))))) (cbrt (exp (log (log (+ N 1.0))))) (* (* (exp (log (log (+ N 1.0)))) (exp (log (log (+ N 1.0))))) (exp (log (log (+ N 1.0))))) (sqrt (exp (log (log (+ N 1.0))))) (sqrt (exp (log (log (+ N 1.0))))) (log 1) (log (log (+ N 1.0))) (log (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (log (cbrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) (log 1) (log (log (+ N 1.0))) (log (log (+ N 1.0))) (log (log (log (+ N 1.0)))) (exp (log (log (+ N 1.0)))) (* (cbrt (log (log (+ N 1.0)))) (cbrt (log (log (+ N 1.0))))) (cbrt (log (log (+ N 1.0)))) (* (* (log (log (+ N 1.0))) (log (log (+ N 1.0)))) (log (log (+ N 1.0)))) (sqrt (log (log (+ N 1.0)))) (sqrt (log (log (+ 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 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)))) (- (+ (log (log 1.0)) (* 1.0 (/ N (log 1.0)))) (+ (* 0.5 (/ (pow N 2) (pow (log 1.0) 2))) (* 1/2 (/ (pow N 2) (* (log 1.0) (pow 1.0 2)))))) (- (+ (log (- (log (/ 1 N)))) (* 0.5 (/ 1 (* (pow N 2) (log (/ 1 N)))))) (+ (* 0.5 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))) (* 1.0 (/ 1 (* N (log (/ 1 N))))))) (- (+ (log (- (log -1) (log (/ -1 N)))) (* 1.0 (/ 1 (* (- (log -1) (log (/ -1 N))) N)))) (+ (* 0.5 (/ 1 (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (* 0.5 (/ 1 (* (- (log -1) (log (/ -1 N))) (pow N 2)))))) 0.978 * * [simplify]: iteration 0 : 355 enodes (cost 529 ) 0.984 * * [simplify]: iteration 1 : 1074 enodes (cost 481 ) 1.001 * * [simplify]: iteration 2 : 4439 enodes (cost 443 ) 1.085 * * [simplify]: iteration 3 : 5002 enodes (cost 427 ) 1.087 * [simplify]: Simplified to: (/ (+ N 1.0) N) (log (- (exp (log (log (+ N 1.0)))) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (exp (log (log (+ N 1.0)))) (log N))) (cbrt (- (exp (log (log (+ N 1.0)))) (log N)))) (cbrt (- (exp (log (log (+ N 1.0)))) (log N))) (pow (+ (log (+ N 1.0)) (log (/ 1 N))) 3) (sqrt (- (exp (log (log (+ N 1.0)))) (log N))) (sqrt (- (exp (log (log (+ N 1.0)))) (log N))) (+ (- (pow (log N) 3)) (pow (log (+ N 1.0)) 3)) (+ (* (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N))) (pow (log (/ 1 N)) 2)) (log (/ 1 N)) (* (+ (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (+ (log N) (log (+ N 1.0))) (+ (sqrt (log N)) (sqrt (log (+ N 1.0)))) (+ (sqrt (log (+ N 1.0))) (- (sqrt (log N)))) (+ (sqrt (log N)) (sqrt (log (+ N 1.0)))) (+ (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 (* (cbrt N) (cbrt N))))) (+ (log (+ N 1.0)) (- (log (sqrt N)))) (log (+ N 1.0)) (log (/ 1 N)) (* 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) (pow (cbrt (log (+ N 1.0))) 2) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) E (exp (* (cbrt (log (log (+ N 1.0)))) (cbrt (log (log (+ N 1.0)))))) (exp (sqrt (log (log (+ N 1.0))))) E 1 (log (+ N 1.0)) (pow (cbrt (log (+ N 1.0))) 2) (cbrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) 1 (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (pow (cbrt (log (+ N 1.0))) 2) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) 0 (log (log (+ N 1.0))) (* 2 (log (cbrt (log (+ N 1.0))))) (log (cbrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) 0 (log (log (+ N 1.0))) (log (log (+ N 1.0))) (log (log (log (+ N 1.0)))) (log (+ N 1.0)) (* (cbrt (log (log (+ N 1.0)))) (cbrt (log (log (+ N 1.0))))) (cbrt (log (log (+ N 1.0)))) (pow (log (log (+ N 1.0))) 3) (sqrt (log (log (+ N 1.0)))) (sqrt (log (log (+ 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 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))) (- (* (/ (pow N 2) (log 1.0)) (+ (/ 1/2 (pow 1.0 2)) (/ 0.5 (log 1.0)))) (log (log 1.0)))) (- (+ (log (- (log (/ 1 N)))) (* (/ 1 (log (/ 1 N))) (- (/ (/ 0.5 N) N) (/ 1.0 N)))) (/ (/ 0.5 (pow (log (/ 1 N)) 2)) (pow N 2))) (- (+ (log (- (log -1) (log (/ -1 N)))) (* (/ 1 (- (log -1) (log (/ -1 N)))) (* (/ 1 N) (- 1.0 (/ 0.5 N))))) (/ (/ (/ 0.5 N) N) (pow (- (log -1) (log (/ -1 N))) 2))) 1.088 * * * [progress]: adding candidates to table 1.226 * * [progress]: iteration 4 / 4 1.226 * * * [progress]: picking best candidate 1.228 * * * * [pick]: Picked # 1.228 * * * [progress]: localizing error 1.238 * * * [progress]: generating rewritten candidates 1.238 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.243 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.260 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.284 * * * [progress]: generating series expansions 1.284 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.285 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 1.285 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.285 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.285 * [taylor]: Taking taylor expansion of N in N 1.286 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.286 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.286 * [taylor]: Taking taylor expansion of N in N 1.292 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 1.293 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.293 * [taylor]: Taking taylor expansion of N in N 1.293 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.293 * [taylor]: Taking taylor expansion of N in N 1.296 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 1.297 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.297 * [taylor]: Taking taylor expansion of N in N 1.297 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.297 * [taylor]: Taking taylor expansion of N in N 1.300 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.301 * [approximate]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in (N) around 0 1.301 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 1.301 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 1.301 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 1.301 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.301 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.301 * [taylor]: Taking taylor expansion of N in N 1.301 * [taylor]: Taking taylor expansion of 0.5 in N 1.301 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.301 * [taylor]: Taking taylor expansion of N in N 1.302 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 1.302 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 1.302 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 1.302 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.302 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.302 * [taylor]: Taking taylor expansion of N in N 1.302 * [taylor]: Taking taylor expansion of 0.5 in N 1.302 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.302 * [taylor]: Taking taylor expansion of N in N 1.325 * [approximate]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in (N) around 0 1.325 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 1.325 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.325 * [taylor]: Taking taylor expansion of N in N 1.325 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 1.325 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 1.325 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.325 * [taylor]: Taking taylor expansion of N in N 1.325 * [taylor]: Taking taylor expansion of 0.5 in N 1.325 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 1.325 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.325 * [taylor]: Taking taylor expansion of N in N 1.325 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 1.325 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 1.325 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.325 * [taylor]: Taking taylor expansion of N in N 1.325 * [taylor]: Taking taylor expansion of 0.5 in N 1.346 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in (N) around 0 1.346 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 1.346 * [taylor]: Taking taylor expansion of -1 in N 1.346 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 1.346 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 1.346 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 1.346 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.346 * [taylor]: Taking taylor expansion of N in N 1.346 * [taylor]: Taking taylor expansion of 0.5 in N 1.346 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.346 * [taylor]: Taking taylor expansion of N in N 1.346 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 1.346 * [taylor]: Taking taylor expansion of -1 in N 1.346 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 1.346 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 1.346 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 1.346 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.346 * [taylor]: Taking taylor expansion of N in N 1.346 * [taylor]: Taking taylor expansion of 0.5 in N 1.346 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.346 * [taylor]: Taking taylor expansion of N in N 1.373 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.373 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 1.373 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 1.373 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 1.373 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 1.373 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.373 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.374 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.374 * [taylor]: Taking taylor expansion of N in N 1.374 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.374 * [taylor]: Taking taylor expansion of 1.0 in N 1.374 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.374 * [taylor]: Taking taylor expansion of N in N 1.375 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 1.375 * [taylor]: Taking taylor expansion of 0.5 in N 1.375 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.375 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.375 * [taylor]: Taking taylor expansion of N in N 1.375 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 1.375 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 1.375 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 1.375 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.375 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.375 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.375 * [taylor]: Taking taylor expansion of N in N 1.376 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.376 * [taylor]: Taking taylor expansion of 1.0 in N 1.376 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.376 * [taylor]: Taking taylor expansion of N in N 1.376 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 1.376 * [taylor]: Taking taylor expansion of 0.5 in N 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.376 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.376 * [taylor]: Taking taylor expansion of N in N 1.385 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 1.385 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 1.385 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 1.385 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.385 * [taylor]: Taking taylor expansion of 1.0 in N 1.385 * [taylor]: Taking taylor expansion of N in N 1.385 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.385 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.385 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.385 * [taylor]: Taking taylor expansion of N in N 1.385 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.385 * [taylor]: Taking taylor expansion of 0.5 in N 1.385 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.385 * [taylor]: Taking taylor expansion of N in N 1.385 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 1.385 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 1.386 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.386 * [taylor]: Taking taylor expansion of 1.0 in N 1.386 * [taylor]: Taking taylor expansion of N in N 1.386 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.386 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.386 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.386 * [taylor]: Taking taylor expansion of N in N 1.386 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.386 * [taylor]: Taking taylor expansion of 0.5 in N 1.386 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.386 * [taylor]: Taking taylor expansion of N in N 1.394 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 1.394 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 1.394 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 1.394 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.394 * [taylor]: Taking taylor expansion of 0.5 in N 1.394 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.394 * [taylor]: Taking taylor expansion of N in N 1.394 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 1.394 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.394 * [taylor]: Taking taylor expansion of 1.0 in N 1.394 * [taylor]: Taking taylor expansion of N in N 1.394 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.394 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.394 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.394 * [taylor]: Taking taylor expansion of N in N 1.394 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 1.394 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 1.394 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.394 * [taylor]: Taking taylor expansion of 0.5 in N 1.394 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.394 * [taylor]: Taking taylor expansion of N in N 1.394 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 1.394 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.394 * [taylor]: Taking taylor expansion of 1.0 in N 1.394 * [taylor]: Taking taylor expansion of N in N 1.394 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.394 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.394 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.394 * [taylor]: Taking taylor expansion of N in N 1.403 * * * [progress]: simplifying candidates 1.405 * [simplify]: Simplifying using # : (- 2) (- (* (log N) 2)) (- (* (log N) 2)) (- (log (pow N 2))) (- 0 (* (log N) 2)) (- 0 (* (log N) 2)) (- 0 (log (pow N 2))) (- (log 1) (* (log N) 2)) (- (log 1) (* (log N) 2)) (- (log 1) (log (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (- 1) (- (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 2)) (/ (cbrt 1) (pow (cbrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 2)) (/ (cbrt 1) (pow (sqrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (cbrt 1) (cbrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 2))) (/ (cbrt 1) (sqrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 2 2))) (/ (cbrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 2)) (/ (sqrt 1) (pow (cbrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (sqrt 1) (cbrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow N (/ 2 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (cbrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N 2)) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N 2)) (/ (pow N 2) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N (/ 2 2))) (/ (pow N 2) (cbrt 1)) (/ (pow N 2) (sqrt 1)) (/ (pow N 2) 1) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (+ (- (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (log (/ 1 (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 N) (sqrt (- (/ 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1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (/ 1.0 N))) (log (+ (* (/ 1 (pow N 2)) (- (/ 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0.3333333333333333 N) 0.5)))) N) (+ (* (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) 1.0)) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) N) (+ (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) 1.0)) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) N) (+ (* (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (+ (/ 0.3333333333333333 N) 0.5) 1.0)) (* (+ (/ 0.3333333333333333 N) 0.5) N) (+ (* (* 1 (- (/ 0.3333333333333333 N) 0.5)) N) (* (pow N 2) 1.0)) (* (pow N 2) N) (+ (pow (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) 3) (pow (/ 1.0 N) 3)) (+ (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (- (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1.0 N) (/ 1.0 N))) (- (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- 0.5)) (/ 1.0 N)) (+ (* (- 0.5) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (- 0.5) (/ 1 (pow N 2))) (/ 1.0 N)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 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)))) 1.414 * * [simplify]: iteration 0 : 583 enodes (cost 1087 ) 1.425 * * [simplify]: iteration 1 : 2726 enodes (cost 904 ) 1.471 * * [simplify]: iteration 2 : 5001 enodes (cost 841 ) 1.476 * [simplify]: Simplified to: (- 2) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (pow (/ 1 (pow N 2)) 3) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (pow (/ 1 (pow N 2)) 3) (fabs (/ 1 N)) (fabs (/ 1 N)) (- 1) (- (pow N 2)) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow N 2)) (pow N 2) (/ 1 (pow (cbrt N) 4)) (/ 1 N) 1 (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (fabs N)) 1 (/ 1 N) (pow N 2) (pow N 2) (pow N 2) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (pow (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) 3) (pow (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) 3) (* (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (pow (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) 3) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) (* (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N))) (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5)) (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (sqrt (- 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0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow (cbrt N) 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) (pow N 2)) (/ (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5)) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (exp (+ (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ 1.0 N))) (log (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (exp (+ (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ 1.0 N))) (* (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (pow (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) 3) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (+ (* (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) 1.0)) (* (pow N 3) (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)))) (+ (* (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (* (pow N 2) (+ 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0.3333333333333333 N) 0.5)))) (- (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) 1.477 * * * [progress]: adding candidates to table 1.700 * [progress]: [Phase 3 of 3] Extracting. 1.700 * * [regime]: Finding splitpoints for: (# # # #) 1.701 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.701 * * * * [regimes]: Trying to branch on N from (# # # #) 1.722 * * * [regime]: Found split indices: #