7.046 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.049 * * * [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 ) 0.057 * * [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 0.060 * * * * [pick]: Picked # 0.060 * * * [progress]: localizing error 0.068 * * * [progress]: generating rewritten candidates 0.068 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.071 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.078 * * * [progress]: generating series expansions 0.078 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.078 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 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 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 0.080 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.080 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.080 * [taylor]: Taking taylor expansion of N in N 0.080 * [taylor]: Taking taylor expansion of 1.0 in N 0.080 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [taylor]: Taking taylor expansion of 1.0 in N 0.081 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.081 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.081 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.081 * [taylor]: Taking taylor expansion of 1.0 in N 0.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.082 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.082 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.082 * [taylor]: Taking taylor expansion of 1.0 in N 0.082 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.082 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.082 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.082 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.082 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.082 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.083 * [taylor]: Taking taylor expansion of 1.0 in N 0.083 * [taylor]: Taking taylor expansion of (log N) in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.083 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.083 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.083 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.083 * [taylor]: Taking taylor expansion of 1.0 in N 0.083 * [taylor]: Taking taylor expansion of (log N) in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.084 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.084 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.084 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.084 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.084 * [taylor]: Taking taylor expansion of N in N 0.084 * [taylor]: Taking taylor expansion of 1.0 in N 0.084 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.084 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.084 * [taylor]: Taking taylor expansion of N in N 0.084 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.084 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.084 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.084 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.084 * [taylor]: Taking taylor expansion of N in N 0.084 * [taylor]: Taking taylor expansion of 1.0 in N 0.084 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.084 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.084 * [taylor]: Taking taylor expansion of N in N 0.086 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.086 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.086 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.086 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.086 * [taylor]: Taking taylor expansion of 1.0 in N 0.086 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.086 * [taylor]: Taking taylor expansion of N in N 0.086 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.086 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.086 * [taylor]: Taking taylor expansion of -1 in N 0.086 * [taylor]: Taking taylor expansion of N in N 0.086 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.087 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.087 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.087 * [taylor]: Taking taylor expansion of 1.0 in N 0.087 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.087 * [taylor]: Taking taylor expansion of N in N 0.087 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.087 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.087 * [taylor]: Taking taylor expansion of -1 in N 0.087 * [taylor]: Taking taylor expansion of N in N 0.088 * * * [progress]: simplifying candidates 0.089 * [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)))) (neg (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)) (neg (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log (neg 1))) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (log 1) (+ (* 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)))) (- (+ (* 1.0 (/ 1 N)) (log (neg 1))) (+ (* 0.5 (/ 1 (pow N 2))) (log -1))) 0.092 * * [simplify]: iteration 0 : 232 enodes (cost 285 ) 0.096 * * [simplify]: iteration 1 : 628 enodes (cost 264 ) 0.106 * * [simplify]: iteration 2 : 2171 enodes (cost 244 ) 0.145 * * [simplify]: iteration 3 : 5001 enodes (cost 244 ) 0.146 * [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) (log N)) (/ (/ 0.5 N) N)) (- (+ (/ 1.0 N) (log N)) (/ (/ 0.5 N) 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 N) (- 1.0 (/ 0.5 N))) 0.147 * * * [progress]: adding candidates to table 0.276 * * [progress]: iteration 2 / 4 0.276 * * * [progress]: picking best candidate 0.282 * * * * [pick]: Picked # 0.282 * * * [progress]: localizing error 0.289 * * * [progress]: generating rewritten candidates 0.289 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.294 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.300 * * * [progress]: generating series expansions 0.300 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.301 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.301 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.301 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.301 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.301 * [taylor]: Taking taylor expansion of N in N 0.301 * [taylor]: Taking taylor expansion of 1.0 in N 0.301 * [taylor]: Taking taylor expansion of N in N 0.301 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.301 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.301 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.301 * [taylor]: Taking taylor expansion of N in N 0.301 * [taylor]: Taking taylor expansion of 1.0 in N 0.301 * [taylor]: Taking taylor expansion of N in N 0.302 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.302 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.302 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.302 * [taylor]: Taking taylor expansion of N in N 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.302 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.302 * [taylor]: Taking taylor expansion of N in N 0.302 * [taylor]: Taking taylor expansion of 1.0 in N 0.302 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.302 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.302 * [taylor]: Taking taylor expansion of N in N 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.302 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.302 * [taylor]: Taking taylor expansion of N in N 0.302 * [taylor]: Taking taylor expansion of 1.0 in N 0.303 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.303 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.303 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.303 * [taylor]: Taking taylor expansion of -1 in N 0.303 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.303 * [taylor]: Taking taylor expansion of N in N 0.303 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.303 * [taylor]: Taking taylor expansion of 1.0 in N 0.303 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.303 * [taylor]: Taking taylor expansion of N in N 0.303 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.303 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.303 * [taylor]: Taking taylor expansion of -1 in N 0.303 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.303 * [taylor]: Taking taylor expansion of N in N 0.303 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.303 * [taylor]: Taking taylor expansion of 1.0 in N 0.303 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.303 * [taylor]: Taking taylor expansion of N in N 0.304 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.304 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.304 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.304 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.304 * [taylor]: Taking taylor expansion of N in N 0.304 * [taylor]: Taking taylor expansion of 1.0 in N 0.305 * [taylor]: Taking taylor expansion of N in N 0.305 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.305 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.305 * [taylor]: Taking taylor expansion of N in N 0.305 * [taylor]: Taking taylor expansion of 1.0 in N 0.305 * [taylor]: Taking taylor expansion of N in N 0.306 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.306 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.306 * [taylor]: Taking taylor expansion of N in N 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.306 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.306 * [taylor]: Taking taylor expansion of N in N 0.306 * [taylor]: Taking taylor expansion of 1.0 in N 0.306 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.306 * [taylor]: Taking taylor expansion of N in N 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.306 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.306 * [taylor]: Taking taylor expansion of N in N 0.306 * [taylor]: Taking taylor expansion of 1.0 in N 0.307 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.307 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.307 * [taylor]: Taking taylor expansion of -1 in N 0.307 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.307 * [taylor]: Taking taylor expansion of N in N 0.307 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.307 * [taylor]: Taking taylor expansion of 1.0 in N 0.307 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.307 * [taylor]: Taking taylor expansion of N in N 0.307 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.307 * [taylor]: Taking taylor expansion of -1 in N 0.307 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.307 * [taylor]: Taking taylor expansion of N in N 0.307 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.307 * [taylor]: Taking taylor expansion of 1.0 in N 0.307 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.307 * [taylor]: Taking taylor expansion of N in N 0.309 * * * [progress]: simplifying candidates 0.310 * [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)) (neg (+ N 1.0)) (neg 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))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.314 * * [simplify]: iteration 0 : 221 enodes (cost 370 ) 0.317 * * [simplify]: iteration 1 : 736 enodes (cost 343 ) 0.330 * * [simplify]: iteration 2 : 3220 enodes (cost 333 ) 0.401 * * [simplify]: iteration 3 : 5002 enodes (cost 333 ) 0.403 * [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)) (neg (+ N 1.0)) (neg 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 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.404 * * * [progress]: adding candidates to table 0.569 * * [progress]: iteration 3 / 4 0.569 * * * [progress]: picking best candidate 0.577 * * * * [pick]: Picked # 0.577 * * * [progress]: localizing error 0.585 * * * [progress]: generating rewritten candidates 0.585 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.590 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.592 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.594 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.604 * * * [progress]: generating series expansions 0.604 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.604 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.604 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.604 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.604 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.604 * [taylor]: Taking taylor expansion of 1.0 in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.604 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.604 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.604 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.604 * [taylor]: Taking taylor expansion of 1.0 in N 0.604 * [taylor]: Taking taylor expansion of N in N 0.605 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.605 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.605 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.605 * [taylor]: Taking taylor expansion of N in N 0.605 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.605 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.605 * [taylor]: Taking taylor expansion of N in N 0.605 * [taylor]: Taking taylor expansion of 1.0 in N 0.605 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.605 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.605 * [taylor]: Taking taylor expansion of N in N 0.606 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.606 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.606 * [taylor]: Taking taylor expansion of N in N 0.606 * [taylor]: Taking taylor expansion of 1.0 in N 0.606 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.606 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.606 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.606 * [taylor]: Taking taylor expansion of -1 in N 0.606 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.606 * [taylor]: Taking taylor expansion of N in N 0.606 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.606 * [taylor]: Taking taylor expansion of 1.0 in N 0.607 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.607 * [taylor]: Taking taylor expansion of N in N 0.607 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.607 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.607 * [taylor]: Taking taylor expansion of -1 in N 0.607 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.607 * [taylor]: Taking taylor expansion of N in N 0.607 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.607 * [taylor]: Taking taylor expansion of 1.0 in N 0.607 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.607 * [taylor]: Taking taylor expansion of N in N 0.608 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.608 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.608 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.608 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.608 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.608 * [taylor]: Taking taylor expansion of N in N 0.608 * [taylor]: Taking taylor expansion of 1.0 in N 0.608 * [taylor]: Taking taylor expansion of N in N 0.608 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.608 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.608 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.608 * [taylor]: Taking taylor expansion of N in N 0.608 * [taylor]: Taking taylor expansion of 1.0 in N 0.608 * [taylor]: Taking taylor expansion of N in N 0.609 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.609 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.609 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.609 * [taylor]: Taking taylor expansion of N in N 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.609 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.609 * [taylor]: Taking taylor expansion of N in N 0.609 * [taylor]: Taking taylor expansion of 1.0 in N 0.609 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.609 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.609 * [taylor]: Taking taylor expansion of N in N 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.609 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.609 * [taylor]: Taking taylor expansion of N in N 0.609 * [taylor]: Taking taylor expansion of 1.0 in N 0.610 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.610 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.610 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.610 * [taylor]: Taking taylor expansion of -1 in N 0.610 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.610 * [taylor]: Taking taylor expansion of N in N 0.610 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.610 * [taylor]: Taking taylor expansion of 1.0 in N 0.610 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.610 * [taylor]: Taking taylor expansion of N in N 0.611 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.611 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.611 * [taylor]: Taking taylor expansion of -1 in N 0.611 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.611 * [taylor]: Taking taylor expansion of N in N 0.611 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.611 * [taylor]: Taking taylor expansion of 1.0 in N 0.611 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.611 * [taylor]: Taking taylor expansion of N in N 0.612 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.612 * [approximate]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in (N) around 0 0.612 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 0.612 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.612 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.612 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.612 * [taylor]: Taking taylor expansion of 1.0 in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.612 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 0.612 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.612 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.612 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.612 * [taylor]: Taking taylor expansion of 1.0 in N 0.612 * [taylor]: Taking taylor expansion of N in N 0.614 * [approximate]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.614 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 0.614 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.614 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.614 * [taylor]: Taking taylor expansion of N in N 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.614 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.614 * [taylor]: Taking taylor expansion of N in N 0.614 * [taylor]: Taking taylor expansion of 1.0 in N 0.614 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 0.614 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.614 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.614 * [taylor]: Taking taylor expansion of N in N 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.614 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.614 * [taylor]: Taking taylor expansion of N in N 0.614 * [taylor]: Taking taylor expansion of 1.0 in N 0.616 * [approximate]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.616 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.616 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.616 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.616 * [taylor]: Taking taylor expansion of -1 in N 0.616 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.616 * [taylor]: Taking taylor expansion of N in N 0.616 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.616 * [taylor]: Taking taylor expansion of 1.0 in N 0.616 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.616 * [taylor]: Taking taylor expansion of N in N 0.616 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.616 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.616 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.616 * [taylor]: Taking taylor expansion of -1 in N 0.616 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.616 * [taylor]: Taking taylor expansion of N in N 0.616 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.616 * [taylor]: Taking taylor expansion of 1.0 in N 0.616 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.616 * [taylor]: Taking taylor expansion of N in N 0.618 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.618 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.618 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.618 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.618 * [taylor]: Taking taylor expansion of N in N 0.618 * [taylor]: Taking taylor expansion of 1.0 in N 0.618 * [taylor]: Taking taylor expansion of N in N 0.618 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.618 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.618 * [taylor]: Taking taylor expansion of N in N 0.618 * [taylor]: Taking taylor expansion of 1.0 in N 0.618 * [taylor]: Taking taylor expansion of N in N 0.619 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.619 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.619 * [taylor]: Taking taylor expansion of N in N 0.619 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.619 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.619 * [taylor]: Taking taylor expansion of N in N 0.619 * [taylor]: Taking taylor expansion of 1.0 in N 0.619 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.619 * [taylor]: Taking taylor expansion of N in N 0.619 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.619 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.619 * [taylor]: Taking taylor expansion of N in N 0.619 * [taylor]: Taking taylor expansion of 1.0 in N 0.620 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.620 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.620 * [taylor]: Taking taylor expansion of -1 in N 0.620 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.620 * [taylor]: Taking taylor expansion of N in N 0.621 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.621 * [taylor]: Taking taylor expansion of 1.0 in N 0.621 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.621 * [taylor]: Taking taylor expansion of N in N 0.621 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.621 * [taylor]: Taking taylor expansion of -1 in N 0.621 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.621 * [taylor]: Taking taylor expansion of N in N 0.621 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.621 * [taylor]: Taking taylor expansion of 1.0 in N 0.621 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.621 * [taylor]: Taking taylor expansion of N in N 0.623 * * * [progress]: simplifying candidates 0.624 * [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))) (exp 1) (exp (* (cbrt (log (log (/ (+ N 1.0) N)))) (cbrt (log (log (/ (+ N 1.0) N)))))) (exp (sqrt (log (log (/ (+ N 1.0) N))))) (exp 1) (exp (log 1)) (exp (log (log (/ (+ N 1.0) N)))) (exp (log (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))))) (exp (log (cbrt (log (/ (+ N 1.0) N))))) (exp (log (sqrt (log (/ (+ N 1.0) N))))) (exp (log (sqrt (log (/ (+ N 1.0) N))))) (exp (log 1)) (exp (log (log (/ (+ N 1.0) N)))) (log (exp (log (log (/ (+ N 1.0) N))))) (exp (exp (log (log (/ (+ N 1.0) N))))) (* (cbrt (exp (log (log (/ (+ N 1.0) N))))) (cbrt (exp (log (log (/ (+ N 1.0) N)))))) (cbrt (exp (log (log (/ (+ N 1.0) N))))) (* (* (exp (log (log (/ (+ N 1.0) N)))) (exp (log (log (/ (+ N 1.0) N))))) (exp (log (log (/ (+ N 1.0) N))))) (sqrt (exp (log (log (/ (+ N 1.0) N))))) (sqrt (exp (log (log (/ (+ N 1.0) N))))) (log 1) (log (log (/ (+ N 1.0) N))) (log (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (log (cbrt (log (/ (+ N 1.0) N)))) (log (sqrt (log (/ (+ N 1.0) N)))) (log (sqrt (log (/ (+ N 1.0) N)))) (log 1) (log (log (/ (+ N 1.0) N))) (log (log (/ (+ N 1.0) N))) (log (log (log (/ (+ N 1.0) N)))) (exp (log (log (/ (+ N 1.0) N)))) (* (cbrt (log (log (/ (+ N 1.0) N)))) (cbrt (log (log (/ (+ N 1.0) N))))) (cbrt (log (log (/ (+ N 1.0) N)))) (* (* (log (log (/ (+ N 1.0) N))) (log (log (/ (+ N 1.0) N)))) (log (log (/ (+ N 1.0) N)))) (sqrt (log (log (/ (+ N 1.0) N)))) (sqrt (log (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)) (neg (+ N 1.0)) (neg 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))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (log (- (log 1.0) (log N))) (* 1.0 (/ N (- (log 1.0) (log N))))) (+ (* 1/2 (/ (pow N 2) (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.5 (/ (pow N 2) (pow (- (log 1.0) (log N)) 2))))) (- (+ (log (log 1)) (* 1.0 (/ 1 (* (log 1) N)))) (+ (* 0.5 (/ 1 (* (log 1) (pow N 2)))) (* 0.5 (/ 1 (* (pow (log 1) 2) (pow N 2)))))) (- (+ (log (log 1)) (* 1.0 (/ 1 (* (log 1) N)))) (+ (* 0.5 (/ 1 (* (log 1) (pow N 2)))) (* 0.5 (/ 1 (* (pow (log 1) 2) (pow N 2)))))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.629 * * [simplify]: iteration 0 : 328 enodes (cost 631 ) 0.635 * * [simplify]: iteration 1 : 1137 enodes (cost 576 ) 0.654 * * [simplify]: iteration 2 : 4900 enodes (cost 535 ) 0.791 * * [simplify]: iteration 3 : 5001 enodes (cost 535 ) 0.795 * [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) (pow (exp 2) (log (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))) E (exp (* (cbrt (log (log (/ (+ N 1.0) N)))) (cbrt (log (log (/ (+ N 1.0) N)))))) (exp (sqrt (log (log (/ (+ N 1.0) N))))) E 1 (log (/ (+ N 1.0) N)) (pow (exp 2) (log (cbrt (log (/ (+ N 1.0) N))))) (cbrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) 1 (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (pow (exp 2) (log (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))) 0 (log (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (log (/ (+ N 1.0) N))))) (log (cbrt (log (/ (+ N 1.0) N)))) (log (sqrt (log (/ (+ N 1.0) N)))) (log (sqrt (log (/ (+ N 1.0) N)))) 0 (log (log (/ (+ N 1.0) N))) (log (log (/ (+ N 1.0) N))) (log (log (log (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (* (cbrt (log (log (/ (+ N 1.0) N)))) (cbrt (log (log (/ (+ N 1.0) N))))) (cbrt (log (log (/ (+ N 1.0) N)))) (pow (log (log (/ (+ N 1.0) N))) 3) (sqrt (log (log (/ (+ N 1.0) N)))) (sqrt (log (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)) (neg (+ N 1.0)) (neg 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 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (- (* 1.0 (/ N (- (log 1.0) (log N)))) (- (* (/ (pow N 2) (- (log 1.0) (log N))) (+ (/ 0.5 (- (log 1.0) (log N))) (/ 1/2 (pow 1.0 2)))) (log (- (log 1.0) (log N))))) (+ (+ (* 2 (/ (neg 0.5) 0)) (/ (/ 1.0 N) 0)) (log (log 1))) (+ (+ (* 2 (/ (neg 0.5) 0)) (/ (/ 1.0 N) 0)) (log (log 1))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.796 * * * [progress]: adding candidates to table 1.249 * * [progress]: iteration 4 / 4 1.249 * * * [progress]: picking best candidate 1.256 * * * * [pick]: Picked # 1.256 * * * [progress]: localizing error 1.268 * * * [progress]: generating rewritten candidates 1.268 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.272 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.275 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.277 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.285 * * * [progress]: generating series expansions 1.285 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.285 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.285 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.285 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.285 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.285 * [taylor]: Taking taylor expansion of N in N 1.285 * [taylor]: Taking taylor expansion of 1.0 in N 1.285 * [taylor]: Taking taylor expansion of N in N 1.285 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.285 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.285 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.285 * [taylor]: Taking taylor expansion of N in N 1.285 * [taylor]: Taking taylor expansion of 1.0 in N 1.285 * [taylor]: Taking taylor expansion of N in N 1.286 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.286 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.286 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.286 * [taylor]: Taking taylor expansion of N in N 1.286 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.286 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.286 * [taylor]: Taking taylor expansion of N in N 1.286 * [taylor]: Taking taylor expansion of 1.0 in N 1.286 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.286 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.286 * [taylor]: Taking taylor expansion of N in N 1.286 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.286 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.287 * [taylor]: Taking taylor expansion of N in N 1.287 * [taylor]: Taking taylor expansion of 1.0 in N 1.287 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.287 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.287 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.287 * [taylor]: Taking taylor expansion of -1 in N 1.287 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.287 * [taylor]: Taking taylor expansion of N in N 1.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.287 * [taylor]: Taking taylor expansion of 1.0 in N 1.287 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.287 * [taylor]: Taking taylor expansion of N in N 1.288 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.288 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.288 * [taylor]: Taking taylor expansion of -1 in N 1.288 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.288 * [taylor]: Taking taylor expansion of N in N 1.288 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.288 * [taylor]: Taking taylor expansion of 1.0 in N 1.288 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.288 * [taylor]: Taking taylor expansion of N in N 1.289 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.289 * [approximate]: Taking taylor expansion of (pow E (log (log (/ (+ N 1.0) N)))) in (N) around 0 1.289 * [taylor]: Taking taylor expansion of (pow E (log (log (/ (+ N 1.0) N)))) in N 1.289 * [taylor]: Taking taylor expansion of (exp (* (log (log (/ (+ N 1.0) N))) (log E))) in N 1.289 * [taylor]: Taking taylor expansion of (* (log (log (/ (+ N 1.0) N))) (log E)) in N 1.289 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 1.289 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.289 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.289 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.289 * [taylor]: Taking taylor expansion of N in N 1.289 * [taylor]: Taking taylor expansion of 1.0 in N 1.289 * [taylor]: Taking taylor expansion of N in N 1.289 * [taylor]: Taking taylor expansion of (log E) in N 1.289 * [taylor]: Taking taylor expansion of E in N 1.289 * [taylor]: Taking taylor expansion of (pow E (log (log (/ (+ N 1.0) N)))) in N 1.289 * [taylor]: Taking taylor expansion of (exp (* (log (log (/ (+ N 1.0) N))) (log E))) in N 1.289 * [taylor]: Taking taylor expansion of (* (log (log (/ (+ N 1.0) N))) (log E)) in N 1.289 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 1.289 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.289 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.289 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.289 * [taylor]: Taking taylor expansion of N in N 1.289 * [taylor]: Taking taylor expansion of 1.0 in N 1.289 * [taylor]: Taking taylor expansion of N in N 1.290 * [taylor]: Taking taylor expansion of (log E) in N 1.290 * [taylor]: Taking taylor expansion of E in N 1.293 * [approximate]: Taking taylor expansion of (pow E (log (log (* N (+ (/ 1 N) 1.0))))) in (N) around 0 1.293 * [taylor]: Taking taylor expansion of (pow E (log (log (* N (+ (/ 1 N) 1.0))))) in N 1.293 * [taylor]: Taking taylor expansion of (exp (* (log (log (* N (+ (/ 1 N) 1.0)))) (log E))) in N 1.293 * [taylor]: Taking taylor expansion of (* (log (log (* N (+ (/ 1 N) 1.0)))) (log E)) in N 1.293 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 1.293 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.293 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.293 * [taylor]: Taking taylor expansion of N in N 1.293 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.293 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.293 * [taylor]: Taking taylor expansion of N in N 1.293 * [taylor]: Taking taylor expansion of 1.0 in N 1.293 * [taylor]: Taking taylor expansion of (log E) in N 1.293 * [taylor]: Taking taylor expansion of E in N 1.293 * [taylor]: Taking taylor expansion of (pow E (log (log (* N (+ (/ 1 N) 1.0))))) in N 1.293 * [taylor]: Taking taylor expansion of (exp (* (log (log (* N (+ (/ 1 N) 1.0)))) (log E))) in N 1.293 * [taylor]: Taking taylor expansion of (* (log (log (* N (+ (/ 1 N) 1.0)))) (log E)) in N 1.293 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 1.293 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.293 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.293 * [taylor]: Taking taylor expansion of N in N 1.293 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.293 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.293 * [taylor]: Taking taylor expansion of N in N 1.293 * [taylor]: Taking taylor expansion of 1.0 in N 1.293 * [taylor]: Taking taylor expansion of (log E) in N 1.293 * [taylor]: Taking taylor expansion of E in N 1.296 * [approximate]: Taking taylor expansion of (pow E (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in (N) around 0 1.296 * [taylor]: Taking taylor expansion of (pow E (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.296 * [taylor]: Taking taylor expansion of (exp (* (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) (log E))) in N 1.296 * [taylor]: Taking taylor expansion of (* (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) (log E)) in N 1.296 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.296 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.296 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.296 * [taylor]: Taking taylor expansion of -1 in N 1.296 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.296 * [taylor]: Taking taylor expansion of N in N 1.296 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.296 * [taylor]: Taking taylor expansion of 1.0 in N 1.296 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.296 * [taylor]: Taking taylor expansion of N in N 1.296 * [taylor]: Taking taylor expansion of (log E) in N 1.296 * [taylor]: Taking taylor expansion of E in N 1.296 * [taylor]: Taking taylor expansion of (pow E (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.296 * [taylor]: Taking taylor expansion of (exp (* (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) (log E))) in N 1.296 * [taylor]: Taking taylor expansion of (* (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) (log E)) in N 1.296 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.296 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.296 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.296 * [taylor]: Taking taylor expansion of -1 in N 1.296 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.296 * [taylor]: Taking taylor expansion of N in N 1.296 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.296 * [taylor]: Taking taylor expansion of 1.0 in N 1.296 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.296 * [taylor]: Taking taylor expansion of N in N 1.297 * [taylor]: Taking taylor expansion of (log E) in N 1.297 * [taylor]: Taking taylor expansion of E in N 1.299 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.299 * [approximate]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in (N) around 0 1.299 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 1.299 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.299 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.299 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.299 * [taylor]: Taking taylor expansion of N in N 1.299 * [taylor]: Taking taylor expansion of 1.0 in N 1.299 * [taylor]: Taking taylor expansion of N in N 1.299 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 1.299 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.299 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.299 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.299 * [taylor]: Taking taylor expansion of N in N 1.299 * [taylor]: Taking taylor expansion of 1.0 in N 1.299 * [taylor]: Taking taylor expansion of N in N 1.305 * [approximate]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.305 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 1.305 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.305 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.305 * [taylor]: Taking taylor expansion of N in N 1.305 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.305 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.305 * [taylor]: Taking taylor expansion of N in N 1.305 * [taylor]: Taking taylor expansion of 1.0 in N 1.305 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 1.305 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.305 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.305 * [taylor]: Taking taylor expansion of N in N 1.305 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.305 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.305 * [taylor]: Taking taylor expansion of N in N 1.305 * [taylor]: Taking taylor expansion of 1.0 in N 1.307 * [approximate]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 1.307 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.307 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.307 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.307 * [taylor]: Taking taylor expansion of -1 in N 1.307 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.307 * [taylor]: Taking taylor expansion of N in N 1.307 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.307 * [taylor]: Taking taylor expansion of 1.0 in N 1.307 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.307 * [taylor]: Taking taylor expansion of N in N 1.307 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.307 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.307 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.307 * [taylor]: Taking taylor expansion of -1 in N 1.307 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.307 * [taylor]: Taking taylor expansion of N in N 1.307 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.307 * [taylor]: Taking taylor expansion of 1.0 in N 1.307 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.307 * [taylor]: Taking taylor expansion of N in N 1.309 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.309 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 1.309 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.309 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.309 * [taylor]: Taking taylor expansion of N in N 1.309 * [taylor]: Taking taylor expansion of 1.0 in N 1.309 * [taylor]: Taking taylor expansion of N in N 1.309 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.309 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.309 * [taylor]: Taking taylor expansion of N in N 1.309 * [taylor]: Taking taylor expansion of 1.0 in N 1.309 * [taylor]: Taking taylor expansion of N in N 1.310 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 1.310 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.310 * [taylor]: Taking taylor expansion of N in N 1.310 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.310 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.310 * [taylor]: Taking taylor expansion of N in N 1.310 * [taylor]: Taking taylor expansion of 1.0 in N 1.310 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.310 * [taylor]: Taking taylor expansion of N in N 1.310 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.310 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.310 * [taylor]: Taking taylor expansion of N in N 1.310 * [taylor]: Taking taylor expansion of 1.0 in N 1.311 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 1.311 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.311 * [taylor]: Taking taylor expansion of -1 in N 1.311 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.311 * [taylor]: Taking taylor expansion of N in N 1.311 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.311 * [taylor]: Taking taylor expansion of 1.0 in N 1.311 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.311 * [taylor]: Taking taylor expansion of N in N 1.311 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.311 * [taylor]: Taking taylor expansion of -1 in N 1.311 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.311 * [taylor]: Taking taylor expansion of N in N 1.311 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.311 * [taylor]: Taking taylor expansion of 1.0 in N 1.311 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.311 * [taylor]: Taking taylor expansion of N in N 1.313 * * * [progress]: simplifying candidates 1.314 * [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))) (* 1 (log (log (/ (+ N 1.0) N)))) (* (log E) (log (log (/ (+ N 1.0) N)))) (* (log E) (log (log (/ (+ N 1.0) N)))) (* 1 (log (log (/ (+ N 1.0) N)))) (pow E 1) (pow E (* (cbrt (log (log (/ (+ N 1.0) N)))) (cbrt (log (log (/ (+ N 1.0) N)))))) (pow E (sqrt (log (log (/ (+ N 1.0) N))))) (pow E 1) (pow E (log 1)) (pow E (log (log (/ (+ N 1.0) N)))) (pow E (log (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))))) (pow E (log (cbrt (log (/ (+ N 1.0) N))))) (pow E (log (sqrt (log (/ (+ N 1.0) N))))) (pow E (log (sqrt (log (/ (+ N 1.0) N))))) (pow E (log 1)) (pow E (log (log (/ (+ N 1.0) N)))) (pow (* (cbrt E) (cbrt E)) (log (log (/ (+ N 1.0) N)))) (pow (cbrt E) (log (log (/ (+ N 1.0) N)))) (pow (sqrt E) (log (log (/ (+ N 1.0) N)))) (pow (sqrt E) (log (log (/ (+ N 1.0) N)))) (pow 1 (log (log (/ (+ N 1.0) N)))) (pow E (log (log (/ (+ N 1.0) N)))) (log (pow E (log (log (/ (+ N 1.0) N))))) (exp (pow E (log (log (/ (+ N 1.0) N))))) (* (cbrt (pow E (log (log (/ (+ N 1.0) N))))) (cbrt (pow E (log (log (/ (+ N 1.0) N)))))) (cbrt (pow E (log (log (/ (+ N 1.0) N))))) (* (* (pow E (log (log (/ (+ N 1.0) N)))) (pow E (log (log (/ (+ N 1.0) N))))) (pow E (log (log (/ (+ N 1.0) N))))) (sqrt (pow E (log (log (/ (+ N 1.0) N))))) (sqrt (pow E (log (log (/ (+ N 1.0) N))))) (pow E (/ (log (log (/ (+ N 1.0) N))) 2)) (pow E (/ (log (log (/ (+ N 1.0) N))) 2)) (log 1) (log (log (/ (+ N 1.0) N))) (log (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (log (cbrt (log (/ (+ N 1.0) N)))) (log (sqrt (log (/ (+ N 1.0) N)))) (log (sqrt (log (/ (+ N 1.0) N)))) (log 1) (log (log (/ (+ N 1.0) N))) (log (log (/ (+ N 1.0) N))) (log (log (log (/ (+ N 1.0) N)))) (exp (log (log (/ (+ N 1.0) N)))) (* (cbrt (log (log (/ (+ N 1.0) N)))) (cbrt (log (log (/ (+ N 1.0) N))))) (cbrt (log (log (/ (+ N 1.0) N)))) (* (* (log (log (/ (+ N 1.0) N))) (log (log (/ (+ N 1.0) N)))) (log (log (/ (+ N 1.0) N)))) (sqrt (log (log (/ (+ N 1.0) N)))) (sqrt (log (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)) (neg (+ N 1.0)) (neg 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))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (log (- (log 1.0) (log N))) (* 1.0 (/ N (- (log 1.0) (log N))))) (+ (* 1/2 (/ (pow N 2) (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.5 (/ (pow N 2) (pow (- (log 1.0) (log N)) 2))))) (- (+ (log (log 1)) (* 1.0 (/ 1 (* (log 1) N)))) (+ (* 0.5 (/ 1 (* (log 1) (pow N 2)))) (* 0.5 (/ 1 (* (pow (log 1) 2) (pow N 2)))))) (- (+ (log (log 1)) (* 1.0 (/ 1 (* (log 1) N)))) (+ (* 0.5 (/ 1 (* (log 1) (pow N 2)))) (* 0.5 (/ 1 (* (pow (log 1) 2) (pow N 2)))))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 1.320 * * [simplify]: iteration 0 : 375 enodes (cost 721 ) 1.326 * * [simplify]: iteration 1 : 1443 enodes (cost 647 ) 1.350 * * [simplify]: iteration 2 : 5001 enodes (cost 604 ) 1.355 * [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 (log (/ (+ N 1.0) N))) (log (log (/ (+ N 1.0) N))) (log (log (/ (+ N 1.0) N))) (log (log (/ (+ N 1.0) N))) E (pow E (* (cbrt (log (log (/ (+ N 1.0) N)))) (cbrt (log (log (/ (+ N 1.0) N)))))) (pow E (sqrt (log (log (/ (+ N 1.0) N))))) E 1 (log (/ (+ N 1.0) N)) (pow E (* 2 (* 1 (/ (log (cbrt (log (/ (+ N 1.0) N)))) 1)))) (pow E (log (cbrt (log (/ (+ N 1.0) N))))) (pow E (log (sqrt (log (/ (+ N 1.0) N))))) (pow E (log (sqrt (log (/ (+ N 1.0) N))))) 1 (log (/ (+ N 1.0) N)) (pow (* (cbrt E) (cbrt E)) (log (log (/ (+ N 1.0) N)))) (pow (cbrt E) (log (log (/ (+ N 1.0) N)))) (pow (sqrt E) (log (log (/ (+ N 1.0) N)))) (pow (sqrt E) (log (log (/ (+ N 1.0) N)))) 1 (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))) (pow E (/ (log (log (/ (+ N 1.0) N))) 2)) (pow E (/ (log (log (/ (+ N 1.0) N))) 2)) 0 (log (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (log (/ (+ N 1.0) N))))) (log (cbrt (log (/ (+ N 1.0) N)))) (log (sqrt (log (/ (+ N 1.0) N)))) (log (sqrt (log (/ (+ N 1.0) N)))) 0 (log (log (/ (+ N 1.0) N))) (log (log (/ (+ N 1.0) N))) (log (log (log (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (* (cbrt (log (log (/ (+ N 1.0) N)))) (cbrt (log (log (/ (+ N 1.0) N))))) (cbrt (log (log (/ (+ N 1.0) N)))) (pow (log (log (/ (+ N 1.0) N))) 3) (sqrt (log (log (/ (+ N 1.0) N)))) (sqrt (log (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)) (neg (+ N 1.0)) (neg 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 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (- (* 1.0 (/ N (- (log 1.0) (log N)))) (- (* (/ (pow N 2) (- (log 1.0) (log N))) (+ (/ 0.5 (- (log 1.0) (log N))) (/ 1/2 (pow 1.0 2)))) (log (- (log 1.0) (log N))))) (+ (+ (* 2 (/ (neg 0.5) 0)) (/ (/ 1.0 0) N)) (log (log 1))) (+ (+ (* 2 (/ (neg 0.5) 0)) (/ (/ 1.0 0) N)) (log (log 1))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 1.355 * * * [progress]: adding candidates to table 1.863 * [progress]: [Phase 3 of 3] Extracting. 1.863 * * [regime]: Finding splitpoints for: (# # #) 1.864 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.864 * * * * [regimes]: Trying to branch on N from (# # #) 1.902 * * * [regime]: Found split indices: #