17.568 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.048 * * * [progress]: [2/2] Setting up program. 0.054 * [progress]: [Phase 2 of 3] Improving. 0.054 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.056 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.057 * * [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)) 0.059 * * [progress]: iteration 1 / 4 0.059 * * * [progress]: picking best candidate 0.061 * * * * [pick]: Picked # 0.061 * * * [progress]: localizing error 0.067 * * * [progress]: generating rewritten candidates 0.067 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.070 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.077 * * * [progress]: generating series expansions 0.077 * * * * [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 0.078 * [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 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.079 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.079 * [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 0.080 * [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 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.080 * [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 0.081 * [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 0.081 * * * * [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 0.082 * [taylor]: Taking taylor expansion of 1.0 in N 0.082 * [taylor]: Taking taylor expansion of (log N) in N 0.082 * [taylor]: Taking taylor expansion of N in N 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 0.082 * [taylor]: Taking taylor expansion of 1.0 in N 0.082 * [taylor]: Taking taylor expansion of (log N) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.083 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.083 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.083 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.083 * [taylor]: Taking taylor expansion of (/ 1 N) 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 (/ 1 N)) in N 0.083 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.083 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.083 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.083 * [taylor]: Taking taylor expansion of (/ 1 N) 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 (/ 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 0.085 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.085 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.085 * [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 0.086 * [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 0.087 * * * [progress]: simplifying candidates 0.088 * [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))) 0.091 * * [simplify]: iteration 0 : 232 enodes (cost 285 ) 0.094 * * [simplify]: iteration 1 : 628 enodes (cost 264 ) 0.103 * * [simplify]: iteration 2 : 2171 enodes (cost 244 ) 0.140 * * [simplify]: iteration 3 : 5001 enodes (cost 244 ) 0.142 * [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))) 0.142 * * * [progress]: adding candidates to table 0.211 * * [progress]: iteration 2 / 4 0.211 * * * [progress]: picking best candidate 0.218 * * * * [pick]: Picked # 0.218 * * * [progress]: localizing error 0.222 * * * [progress]: generating rewritten candidates 0.222 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.226 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.235 * * * [progress]: generating series expansions 0.235 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.235 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.235 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.235 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.235 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [taylor]: Taking taylor expansion of 1.0 in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.235 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.235 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [taylor]: Taking taylor expansion of 1.0 in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.236 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.236 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.236 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.236 * [taylor]: Taking taylor expansion of N in N 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.236 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.236 * [taylor]: Taking taylor expansion of N in N 0.236 * [taylor]: Taking taylor expansion of 1.0 in N 0.236 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.236 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.236 * [taylor]: Taking taylor expansion of N in N 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.237 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.237 * [taylor]: Taking taylor expansion of N in N 0.237 * [taylor]: Taking taylor expansion of 1.0 in N 0.237 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.237 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.237 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.237 * [taylor]: Taking taylor expansion of -1 in N 0.237 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.237 * [taylor]: Taking taylor expansion of N in N 0.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.238 * [taylor]: Taking taylor expansion of 1.0 in N 0.238 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.238 * [taylor]: Taking taylor expansion of N in N 0.238 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.238 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.238 * [taylor]: Taking taylor expansion of -1 in N 0.238 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.238 * [taylor]: Taking taylor expansion of N in N 0.238 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.238 * [taylor]: Taking taylor expansion of 1.0 in N 0.238 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.238 * [taylor]: Taking taylor expansion of N in N 0.239 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.239 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.239 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.239 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.239 * [taylor]: Taking taylor expansion of N in N 0.239 * [taylor]: Taking taylor expansion of 1.0 in N 0.239 * [taylor]: Taking taylor expansion of N in N 0.239 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.239 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.239 * [taylor]: Taking taylor expansion of N in N 0.239 * [taylor]: Taking taylor expansion of 1.0 in N 0.239 * [taylor]: Taking taylor expansion of N in N 0.240 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.240 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.240 * [taylor]: Taking taylor expansion of N in N 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.240 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.240 * [taylor]: Taking taylor expansion of N in N 0.240 * [taylor]: Taking taylor expansion of 1.0 in N 0.240 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.240 * [taylor]: Taking taylor expansion of N in N 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.240 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.240 * [taylor]: Taking taylor expansion of N in N 0.240 * [taylor]: Taking taylor expansion of 1.0 in N 0.241 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.241 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.241 * [taylor]: Taking taylor expansion of -1 in N 0.242 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.242 * [taylor]: Taking taylor expansion of N in N 0.242 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.242 * [taylor]: Taking taylor expansion of 1.0 in N 0.242 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.242 * [taylor]: Taking taylor expansion of N in N 0.242 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.242 * [taylor]: Taking taylor expansion of -1 in N 0.242 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.242 * [taylor]: Taking taylor expansion of N in N 0.242 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.242 * [taylor]: Taking taylor expansion of 1.0 in N 0.242 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.242 * [taylor]: Taking taylor expansion of N in N 0.243 * * * [progress]: simplifying candidates 0.244 * [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) 0.248 * * [simplify]: iteration 0 : 221 enodes (cost 370 ) 0.251 * * [simplify]: iteration 1 : 736 enodes (cost 343 ) 0.262 * * [simplify]: iteration 2 : 3220 enodes (cost 333 ) 0.331 * * [simplify]: iteration 3 : 5002 enodes (cost 333 ) 0.334 * [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) 0.334 * * * [progress]: adding candidates to table 0.405 * * [progress]: iteration 3 / 4 0.405 * * * [progress]: picking best candidate 0.415 * * * * [pick]: Picked # 0.415 * * * [progress]: localizing error 0.423 * * * [progress]: generating rewritten candidates 0.423 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.427 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.429 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.432 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.440 * * * [progress]: generating series expansions 0.440 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.440 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.440 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.440 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.440 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.440 * [taylor]: Taking taylor expansion of N in N 0.440 * [taylor]: Taking taylor expansion of 1.0 in N 0.440 * [taylor]: Taking taylor expansion of N in N 0.440 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.441 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.441 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.441 * [taylor]: Taking taylor expansion of N in N 0.441 * [taylor]: Taking taylor expansion of 1.0 in N 0.441 * [taylor]: Taking taylor expansion of N in N 0.442 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.442 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.442 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.442 * [taylor]: Taking taylor expansion of N in N 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.442 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.442 * [taylor]: Taking taylor expansion of N in N 0.442 * [taylor]: Taking taylor expansion of 1.0 in N 0.442 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.442 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.442 * [taylor]: Taking taylor expansion of N in N 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.442 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.442 * [taylor]: Taking taylor expansion of N in N 0.442 * [taylor]: Taking taylor expansion of 1.0 in N 0.443 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.443 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.443 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.443 * [taylor]: Taking taylor expansion of -1 in N 0.443 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.443 * [taylor]: Taking taylor expansion of N in N 0.443 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.443 * [taylor]: Taking taylor expansion of 1.0 in N 0.443 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.443 * [taylor]: Taking taylor expansion of N in N 0.443 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.443 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.443 * [taylor]: Taking taylor expansion of -1 in N 0.443 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.443 * [taylor]: Taking taylor expansion of N in N 0.443 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.443 * [taylor]: Taking taylor expansion of 1.0 in N 0.443 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.443 * [taylor]: Taking taylor expansion of N in N 0.444 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.444 * [approximate]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 3) in (N) around 0 0.444 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 3) in N 0.444 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.444 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.444 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.444 * [taylor]: Taking taylor expansion of N in N 0.445 * [taylor]: Taking taylor expansion of 1.0 in N 0.445 * [taylor]: Taking taylor expansion of N in N 0.445 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 3) in N 0.445 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.445 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.445 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.445 * [taylor]: Taking taylor expansion of N in N 0.445 * [taylor]: Taking taylor expansion of 1.0 in N 0.445 * [taylor]: Taking taylor expansion of N in N 0.452 * [approximate]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 3) in (N) around 0 0.452 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 3) in N 0.452 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.452 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.452 * [taylor]: Taking taylor expansion of N in N 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.452 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.452 * [taylor]: Taking taylor expansion of N in N 0.452 * [taylor]: Taking taylor expansion of 1.0 in N 0.452 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 3) in N 0.452 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.452 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.452 * [taylor]: Taking taylor expansion of N in N 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.452 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.452 * [taylor]: Taking taylor expansion of N in N 0.452 * [taylor]: Taking taylor expansion of 1.0 in N 0.454 * [approximate]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 3) in (N) around 0 0.454 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 3) in N 0.454 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.454 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.454 * [taylor]: Taking taylor expansion of -1 in N 0.454 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.454 * [taylor]: Taking taylor expansion of N in N 0.454 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.454 * [taylor]: Taking taylor expansion of 1.0 in N 0.454 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.454 * [taylor]: Taking taylor expansion of N in N 0.454 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 3) in N 0.454 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.454 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.454 * [taylor]: Taking taylor expansion of -1 in N 0.454 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.454 * [taylor]: Taking taylor expansion of N in N 0.454 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.455 * [taylor]: Taking taylor expansion of 1.0 in N 0.455 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.455 * [taylor]: Taking taylor expansion of N in N 0.456 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.457 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.457 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.457 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.457 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.457 * [taylor]: Taking taylor expansion of N in N 0.457 * [taylor]: Taking taylor expansion of 1.0 in N 0.457 * [taylor]: Taking taylor expansion of N in N 0.457 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.457 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.457 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.457 * [taylor]: Taking taylor expansion of N in N 0.457 * [taylor]: Taking taylor expansion of 1.0 in N 0.457 * [taylor]: Taking taylor expansion of N in N 0.458 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.458 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.458 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.458 * [taylor]: Taking taylor expansion of N in N 0.458 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.458 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.458 * [taylor]: Taking taylor expansion of N in N 0.458 * [taylor]: Taking taylor expansion of 1.0 in N 0.458 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.458 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.458 * [taylor]: Taking taylor expansion of N in N 0.458 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.458 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.458 * [taylor]: Taking taylor expansion of N in N 0.458 * [taylor]: Taking taylor expansion of 1.0 in N 0.459 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.459 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.459 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.459 * [taylor]: Taking taylor expansion of -1 in N 0.459 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.459 * [taylor]: Taking taylor expansion of N in N 0.459 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.459 * [taylor]: Taking taylor expansion of 1.0 in N 0.459 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.459 * [taylor]: Taking taylor expansion of N in N 0.459 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.459 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.459 * [taylor]: Taking taylor expansion of -1 in N 0.459 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.459 * [taylor]: Taking taylor expansion of N in N 0.459 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.459 * [taylor]: Taking taylor expansion of 1.0 in N 0.459 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.459 * [taylor]: Taking taylor expansion of N in N 0.460 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.460 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.460 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.461 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.461 * [taylor]: Taking taylor expansion of N in N 0.461 * [taylor]: Taking taylor expansion of 1.0 in N 0.461 * [taylor]: Taking taylor expansion of N in N 0.461 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.461 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.461 * [taylor]: Taking taylor expansion of N in N 0.461 * [taylor]: Taking taylor expansion of 1.0 in N 0.461 * [taylor]: Taking taylor expansion of N in N 0.461 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.461 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.461 * [taylor]: Taking taylor expansion of N in N 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.462 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.462 * [taylor]: Taking taylor expansion of N in N 0.462 * [taylor]: Taking taylor expansion of 1.0 in N 0.462 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.462 * [taylor]: Taking taylor expansion of N in N 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.462 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.462 * [taylor]: Taking taylor expansion of N in N 0.462 * [taylor]: Taking taylor expansion of 1.0 in N 0.463 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.463 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.463 * [taylor]: Taking taylor expansion of -1 in N 0.463 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.463 * [taylor]: Taking taylor expansion of N in N 0.463 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.463 * [taylor]: Taking taylor expansion of 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 (* N (- 1.0 (/ 1 N)))) in N 0.463 * [taylor]: Taking taylor expansion of -1 in N 0.463 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.463 * [taylor]: Taking taylor expansion of N in N 0.463 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.463 * [taylor]: Taking taylor expansion of 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 0.465 * * * [progress]: simplifying candidates 0.467 * [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 (log (/ (+ N 1.0) N))) 3) (* (log (log (/ (+ N 1.0) N))) 3) (* 1 3) (pow (log (/ (+ N 1.0) N)) (* (cbrt 3) (cbrt 3))) (pow (log (/ (+ N 1.0) N)) (sqrt 3)) (pow (log (/ (+ N 1.0) N)) 1) (pow 1 3) (pow (log (/ (+ N 1.0) N)) 3) (pow (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) 3) (pow (cbrt (log (/ (+ N 1.0) N))) 3) (pow (sqrt (log (/ (+ N 1.0) N))) 3) (pow (sqrt (log (/ (+ N 1.0) N))) 3) (pow 1 3) (pow (log (/ (+ N 1.0) N)) 3) (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (pow (log (/ (+ N 1.0) N)) 3)) (exp (pow (log (/ (+ N 1.0) N)) 3)) (* (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (* (* (pow (log (/ (+ N 1.0) N)) 3) (pow (log (/ (+ N 1.0) N)) 3)) (pow (log (/ (+ N 1.0) N)) 3)) (pow 1 3) (pow (log (/ (+ N 1.0) N)) 3) (pow (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) 3) (pow (cbrt (log (/ (+ N 1.0) N))) 3) (pow (sqrt (log (/ (+ N 1.0) N))) 3) (pow (sqrt (log (/ (+ N 1.0) N))) 3) (pow 1 3) (pow (log (/ (+ N 1.0) N)) 3) (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (sqrt (pow (log (/ (+ N 1.0) N)) 3)) (sqrt (pow (log (/ (+ N 1.0) N)) 3)) (pow (log (/ (+ N 1.0) N)) (/ 3 2)) (pow (log (/ (+ N 1.0) N)) (/ 3 2)) (log (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (exp (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt (pow 1 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (pow (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) 3)) (cbrt (pow (cbrt (log (/ (+ N 1.0) N))) 3)) (cbrt (pow (sqrt (log (/ (+ N 1.0) N))) 3)) (cbrt (pow (sqrt (log (/ (+ N 1.0) N))) 3)) (cbrt (pow 1 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (cbrt (* (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3)))) (cbrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt (pow 1 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (pow (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) 3)) (cbrt (pow (cbrt (log (/ (+ N 1.0) N))) 3)) (cbrt (pow (sqrt (log (/ (+ N 1.0) N))) 3)) (cbrt (pow (sqrt (log (/ (+ N 1.0) N))) 3)) (cbrt (pow 1 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (log (/ (+ N 1.0) N))) (cbrt (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)))) (cbrt (sqrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt (sqrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt 1) (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (pow (log (/ (+ N 1.0) N)) (/ 3 2))) (cbrt (pow (log (/ (+ N 1.0) N)) (/ 3 2))) (* (cbrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt (cbrt (pow (log (/ (+ N 1.0) N)) 3)))) (cbrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (* (* (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (sqrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (sqrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (- (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)))) (- (+ (* 3.0 (* N (pow (log N) 2))) (+ (* 3.0 (* (pow N 2) (log 1.0))) (+ (* 3.0 (* N (pow (log 1.0) 2))) (+ (* 3 (/ (* (pow N 2) (* (log 1.0) (log N))) (pow 1.0 2))) (+ (* 3 (* (log 1.0) (pow (log N) 2))) (pow (log 1.0) 3)))))) (+ (* 3.0 (* (pow N 2) (log N))) (+ (pow (log N) 3) (+ (* 6.0 (* N (* (log 1.0) (log N)))) (+ (* 3 (* (pow (log 1.0) 2) (log N))) (+ (* 3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2))) (* 3/2 (/ (* (pow N 2) (pow (log N) 2)) (pow 1.0 2))))))))) (- (+ (pow (log 1) 3) (+ (* 3.0 (/ (pow (log 1) 2) N)) (* 3.0 (/ (log 1) (pow N 2))))) (* 1.5 (/ (pow (log 1) 2) (pow N 2)))) (- (+ (pow (log 1) 3) (+ (* 3.0 (/ (pow (log 1) 2) N)) (* 3.0 (/ (log 1) (pow N 2))))) (* 1.5 (/ (pow (log 1) 2) (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)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.473 * * [simplify]: iteration 0 : 474 enodes (cost 774 ) 0.482 * * [simplify]: iteration 1 : 2041 enodes (cost 729 ) 0.514 * * [simplify]: iteration 2 : 5002 enodes (cost 689 ) 0.519 * [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))) (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)))) (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)) (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 (pow (log (/ (+ N 1.0) N)) 3)) (log (pow (log (/ (+ N 1.0) N)) 3)) 3 (pow (log (/ (+ N 1.0) N)) (* (cbrt 3) (cbrt 3))) (pow (log (/ (+ N 1.0) N)) (sqrt 3)) (log (/ (+ N 1.0) N)) 1 (pow (log (/ (+ N 1.0) N)) 3) (pow (log (/ (+ N 1.0) N)) 2) (log (/ (+ N 1.0) N)) (pow (log (/ (+ N 1.0) N)) 3/2) (pow (log (/ (+ N 1.0) N)) 3/2) 1 (pow (log (/ (+ N 1.0) N)) 3) (pow (log (/ (+ N 1.0) N)) 2) (log (pow (log (/ (+ N 1.0) N)) 3)) (exp (pow (log (/ (+ N 1.0) N)) 3)) (pow (log (/ (+ N 1.0) N)) 2) (log (/ (+ N 1.0) N)) (pow (pow (log (/ (+ N 1.0) N)) 3) 3) 1 (pow (log (/ (+ N 1.0) N)) 3) (pow (log (/ (+ N 1.0) N)) 2) (log (/ (+ N 1.0) N)) (pow (log (/ (+ N 1.0) N)) 3/2) (pow (log (/ (+ N 1.0) N)) 3/2) 1 (pow (log (/ (+ N 1.0) N)) 3) (pow (log (/ (+ N 1.0) N)) 2) (sqrt (pow (log (/ (+ N 1.0) N)) 3)) (sqrt (pow (log (/ (+ N 1.0) N)) 3)) (pow (log (/ (+ N 1.0) N)) 3/2) (pow (log (/ (+ N 1.0) N)) 3/2) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) 1 (log (/ (+ N 1.0) N)) (cbrt (* (log (/ (+ N 1.0) N)) (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)) (cbrt (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (cbrt (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) 1 (log (/ (+ N 1.0) N)) (cbrt (* (log (/ (+ N 1.0) N)) (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)) (cbrt (log (/ (+ N 1.0) N))) (cbrt (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)))) (cbrt (sqrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt (sqrt (pow (log (/ (+ N 1.0) N)) 3))) 1 (log (/ (+ N 1.0) N)) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (cbrt (* (log (/ (+ N 1.0) N)) (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))) (+ (* 1.0 (/ 1 N)) (/ (neg 0.5) (pow N 2))) (+ (* 1.0 (/ 1 N)) (/ (neg 0.5) (pow N 2))) (+ (* 3.0 (+ (* N (pow (log N) 2)) (* (pow N 2) (log 1.0)))) (- (+ (+ (* 3.0 (* N (pow (log 1.0) 2))) (* 3 (+ (/ (* (pow N 2) (* (log 1.0) (log N))) (pow 1.0 2)) (* (log 1.0) (pow (log N) 2))))) (pow (log 1.0) 3)) (+ (+ (* 3.0 (* (pow N 2) (log N))) (pow (log N) 3)) (+ (+ (* 6.0 (* N (* (log 1.0) (log N)))) (* 3 (* (pow (log 1.0) 2) (log N)))) (* 3/2 (+ (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2)) (/ (* (pow N 2) (pow (log N) 2)) (pow 1.0 2)))))))) 0 0 (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* 1.0 (/ 1 N)) (/ (neg 0.5) (pow N 2))) (+ (* 1.0 (/ 1 N)) (/ (neg 0.5) (pow N 2))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.519 * * * [progress]: adding candidates to table 0.663 * * [progress]: iteration 4 / 4 0.663 * * * [progress]: picking best candidate 0.672 * * * * [pick]: Picked # 0.672 * * * [progress]: localizing error 0.683 * * * [progress]: generating rewritten candidates 0.683 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 0.687 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.693 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.695 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.702 * * * [progress]: generating series expansions 0.702 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 0.702 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.702 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.702 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.702 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.702 * [taylor]: Taking taylor expansion of N in N 0.702 * [taylor]: Taking taylor expansion of 1.0 in N 0.702 * [taylor]: Taking taylor expansion of N in N 0.702 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.702 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.702 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.702 * [taylor]: Taking taylor expansion of N in N 0.702 * [taylor]: Taking taylor expansion of 1.0 in N 0.702 * [taylor]: Taking taylor expansion of N in N 0.703 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.703 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.703 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.703 * [taylor]: Taking taylor expansion of N in N 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.703 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.703 * [taylor]: Taking taylor expansion of N in N 0.703 * [taylor]: Taking taylor expansion of 1.0 in N 0.703 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.703 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.703 * [taylor]: Taking taylor expansion of N in N 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.703 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.703 * [taylor]: Taking taylor expansion of N in N 0.703 * [taylor]: Taking taylor expansion of 1.0 in N 0.704 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.704 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.704 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.704 * [taylor]: Taking taylor expansion of -1 in N 0.704 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.704 * [taylor]: Taking taylor expansion of N in N 0.704 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.704 * [taylor]: Taking taylor expansion of 1.0 in N 0.704 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.704 * [taylor]: Taking taylor expansion of N in N 0.705 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.705 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.705 * [taylor]: Taking taylor expansion of -1 in N 0.705 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.705 * [taylor]: Taking taylor expansion of N in N 0.705 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.705 * [taylor]: Taking taylor expansion of 1.0 in N 0.705 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.705 * [taylor]: Taking taylor expansion of N in N 0.706 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.706 * [approximate]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 3) in (N) around 0 0.706 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 3) in N 0.706 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.706 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.706 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.706 * [taylor]: Taking taylor expansion of N in N 0.706 * [taylor]: Taking taylor expansion of 1.0 in N 0.706 * [taylor]: Taking taylor expansion of N in N 0.706 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 3) in N 0.706 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.706 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.706 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.706 * [taylor]: Taking taylor expansion of N in N 0.706 * [taylor]: Taking taylor expansion of 1.0 in N 0.706 * [taylor]: Taking taylor expansion of N in N 0.711 * [approximate]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 3) in (N) around 0 0.711 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 3) in N 0.711 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.711 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.711 * [taylor]: Taking taylor expansion of N in N 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.711 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.711 * [taylor]: Taking taylor expansion of N in N 0.711 * [taylor]: Taking taylor expansion of 1.0 in N 0.711 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 3) in N 0.711 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.711 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.711 * [taylor]: Taking taylor expansion of N in N 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.711 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.711 * [taylor]: Taking taylor expansion of N in N 0.711 * [taylor]: Taking taylor expansion of 1.0 in N 0.713 * [approximate]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 3) in (N) around 0 0.713 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 3) in N 0.713 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.713 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.713 * [taylor]: Taking taylor expansion of -1 in N 0.713 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.713 * [taylor]: Taking taylor expansion of N in N 0.713 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.713 * [taylor]: Taking taylor expansion of 1.0 in N 0.713 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.713 * [taylor]: Taking taylor expansion of N in N 0.713 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 3) in N 0.713 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.713 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.713 * [taylor]: Taking taylor expansion of -1 in N 0.713 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.713 * [taylor]: Taking taylor expansion of N in N 0.713 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.713 * [taylor]: Taking taylor expansion of 1.0 in N 0.713 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.713 * [taylor]: Taking taylor expansion of N in N 0.715 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.715 * [approximate]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 3) in (N) around 0 0.715 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 3) in N 0.715 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.715 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.715 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.715 * [taylor]: Taking taylor expansion of N in N 0.715 * [taylor]: Taking taylor expansion of 1.0 in N 0.716 * [taylor]: Taking taylor expansion of N in N 0.716 * [taylor]: Taking taylor expansion of (pow (log (/ (+ N 1.0) N)) 3) in N 0.716 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.716 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.716 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.716 * [taylor]: Taking taylor expansion of N in N 0.716 * [taylor]: Taking taylor expansion of 1.0 in N 0.716 * [taylor]: Taking taylor expansion of N in N 0.720 * [approximate]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 3) in (N) around 0 0.720 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 3) in N 0.720 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.720 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.720 * [taylor]: Taking taylor expansion of N in N 0.720 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.720 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.720 * [taylor]: Taking taylor expansion of N in N 0.720 * [taylor]: Taking taylor expansion of 1.0 in N 0.721 * [taylor]: Taking taylor expansion of (pow (log (* N (+ (/ 1 N) 1.0))) 3) in N 0.721 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.721 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.721 * [taylor]: Taking taylor expansion of N in N 0.721 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.721 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.721 * [taylor]: Taking taylor expansion of N in N 0.721 * [taylor]: Taking taylor expansion of 1.0 in N 0.723 * [approximate]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 3) in (N) around 0 0.723 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 3) in N 0.723 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.723 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.723 * [taylor]: Taking taylor expansion of -1 in N 0.723 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.723 * [taylor]: Taking taylor expansion of N in N 0.723 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.723 * [taylor]: Taking taylor expansion of 1.0 in N 0.723 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.723 * [taylor]: Taking taylor expansion of N in N 0.723 * [taylor]: Taking taylor expansion of (pow (log (* -1 (* N (- 1.0 (/ 1 N))))) 3) in N 0.723 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.723 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.723 * [taylor]: Taking taylor expansion of -1 in N 0.723 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.723 * [taylor]: Taking taylor expansion of N in N 0.723 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.723 * [taylor]: Taking taylor expansion of 1.0 in N 0.723 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.723 * [taylor]: Taking taylor expansion of N in N 0.725 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.725 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.725 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.726 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.726 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.726 * [taylor]: Taking taylor expansion of N in N 0.726 * [taylor]: Taking taylor expansion of 1.0 in N 0.726 * [taylor]: Taking taylor expansion of N in N 0.726 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.726 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.726 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.726 * [taylor]: Taking taylor expansion of N in N 0.726 * [taylor]: Taking taylor expansion of 1.0 in N 0.726 * [taylor]: Taking taylor expansion of N in N 0.727 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.727 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.727 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.727 * [taylor]: Taking taylor expansion of N in N 0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.727 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.727 * [taylor]: Taking taylor expansion of N in N 0.727 * [taylor]: Taking taylor expansion of 1.0 in N 0.727 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.727 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.727 * [taylor]: Taking taylor expansion of N in N 0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.727 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.727 * [taylor]: Taking taylor expansion of N in N 0.727 * [taylor]: Taking taylor expansion of 1.0 in N 0.728 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.728 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.728 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.728 * [taylor]: Taking taylor expansion of -1 in N 0.728 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.728 * [taylor]: Taking taylor expansion of N in N 0.728 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.728 * [taylor]: Taking taylor expansion of 1.0 in N 0.728 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.728 * [taylor]: Taking taylor expansion of N in N 0.728 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.728 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.728 * [taylor]: Taking taylor expansion of -1 in N 0.728 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.728 * [taylor]: Taking taylor expansion of N in N 0.728 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.728 * [taylor]: Taking taylor expansion of 1.0 in N 0.728 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.728 * [taylor]: Taking taylor expansion of N in N 0.729 * * * [progress]: simplifying candidates 0.731 * [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 (cbrt (pow (log (/ (+ N 1.0) N)) 3))) 3) (* (log (cbrt (pow (log (/ (+ N 1.0) N)) 3))) 3) (* 1/3 3) (* 1 3) (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (* (cbrt 3) (cbrt 3))) (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (sqrt 3)) (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 1) (pow (cbrt (pow 1 3)) 3) (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 3) (pow (cbrt (pow (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) 3)) 3) (pow (cbrt (pow (cbrt (log (/ (+ N 1.0) N))) 3)) 3) (pow (cbrt (pow (sqrt (log (/ (+ N 1.0) N))) 3)) 3) (pow (cbrt (pow (sqrt (log (/ (+ N 1.0) N))) 3)) 3) (pow (cbrt (pow 1 3)) 3) (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 3) (pow (cbrt (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)))) 3) (pow (cbrt (log (/ (+ N 1.0) N))) 3) (pow (cbrt (* (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3)))) 3) (pow (cbrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) 3) (pow (cbrt (pow 1 3)) 3) (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 3) (pow (cbrt (pow (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) 3)) 3) (pow (cbrt (pow (cbrt (log (/ (+ N 1.0) N))) 3)) 3) (pow (cbrt (pow (sqrt (log (/ (+ N 1.0) N))) 3)) 3) (pow (cbrt (pow (sqrt (log (/ (+ N 1.0) N))) 3)) 3) (pow (cbrt (pow 1 3)) 3) (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 3) (pow (cbrt (log (/ (+ N 1.0) N))) 3) (pow (cbrt (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)))) 3) (pow (cbrt (sqrt (pow (log (/ (+ N 1.0) N)) 3))) 3) (pow (cbrt (sqrt (pow (log (/ (+ N 1.0) N)) 3))) 3) (pow (cbrt 1) 3) (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 3) (pow (cbrt (pow (log (/ (+ N 1.0) N)) (/ 3 2))) 3) (pow (cbrt (pow (log (/ (+ N 1.0) N)) (/ 3 2))) 3) (pow (* (cbrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt (cbrt (pow (log (/ (+ N 1.0) N)) 3)))) 3) (pow (cbrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) 3) (pow (sqrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) 3) (pow (sqrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) 3) (pow 1 3) (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 3) (* (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (log (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 3)) (exp (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 3)) (* (cbrt (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 3)) (cbrt (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 3))) (cbrt (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 3)) (* (* (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 3) (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 3)) (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 3)) (pow (cbrt (pow 1 3)) 3) (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 3) (pow (cbrt (pow (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) 3)) 3) (pow (cbrt (pow (cbrt (log (/ (+ N 1.0) N))) 3)) 3) (pow (cbrt (pow (sqrt (log (/ (+ N 1.0) N))) 3)) 3) (pow (cbrt (pow (sqrt (log (/ (+ N 1.0) N))) 3)) 3) (pow (cbrt (pow 1 3)) 3) (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 3) (pow (cbrt (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)))) 3) (pow (cbrt (log (/ (+ N 1.0) N))) 3) (pow (cbrt (* (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3)))) 3) (pow (cbrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) 3) (pow (cbrt (pow 1 3)) 3) (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 3) (pow (cbrt (pow (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) 3)) 3) (pow (cbrt (pow (cbrt (log (/ (+ N 1.0) N))) 3)) 3) (pow (cbrt (pow (sqrt (log (/ (+ N 1.0) N))) 3)) 3) (pow (cbrt (pow (sqrt (log (/ (+ N 1.0) N))) 3)) 3) (pow (cbrt (pow 1 3)) 3) (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 3) (pow (cbrt (log (/ (+ N 1.0) N))) 3) (pow (cbrt (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)))) 3) (pow (cbrt (sqrt (pow (log (/ (+ N 1.0) N)) 3))) 3) (pow (cbrt (sqrt (pow (log (/ (+ N 1.0) N)) 3))) 3) (pow (cbrt 1) 3) (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 3) (pow (cbrt (pow (log (/ (+ N 1.0) N)) (/ 3 2))) 3) (pow (cbrt (pow (log (/ (+ N 1.0) N)) (/ 3 2))) 3) (pow (* (cbrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt (cbrt (pow (log (/ (+ N 1.0) N)) 3)))) 3) (pow (cbrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) 3) (pow (sqrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) 3) (pow (sqrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) 3) (pow 1 3) (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 3) (* (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (sqrt (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 3)) (sqrt (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) 3)) (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (/ 3 2)) (pow (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (/ 3 2)) (* (log (log (/ (+ N 1.0) N))) 3) (* (log (log (/ (+ N 1.0) N))) 3) (* 1 3) (pow (log (/ (+ N 1.0) N)) (* (cbrt 3) (cbrt 3))) (pow (log (/ (+ N 1.0) N)) (sqrt 3)) (pow (log (/ (+ N 1.0) N)) 1) (pow 1 3) (pow (log (/ (+ N 1.0) N)) 3) (pow (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) 3) (pow (cbrt (log (/ (+ N 1.0) N))) 3) (pow (sqrt (log (/ (+ N 1.0) N))) 3) (pow (sqrt (log (/ (+ N 1.0) N))) 3) (pow 1 3) (pow (log (/ (+ N 1.0) N)) 3) (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (pow (log (/ (+ N 1.0) N)) 3)) (exp (pow (log (/ (+ N 1.0) N)) 3)) (* (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (* (* (pow (log (/ (+ N 1.0) N)) 3) (pow (log (/ (+ N 1.0) N)) 3)) (pow (log (/ (+ N 1.0) N)) 3)) (pow 1 3) (pow (log (/ (+ N 1.0) N)) 3) (pow (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) 3) (pow (cbrt (log (/ (+ N 1.0) N))) 3) (pow (sqrt (log (/ (+ N 1.0) N))) 3) (pow (sqrt (log (/ (+ N 1.0) N))) 3) (pow 1 3) (pow (log (/ (+ N 1.0) N)) 3) (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (sqrt (pow (log (/ (+ N 1.0) N)) 3)) (sqrt (pow (log (/ (+ N 1.0) N)) 3)) (pow (log (/ (+ N 1.0) N)) (/ 3 2)) (pow (log (/ (+ N 1.0) N)) (/ 3 2)) (log (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (exp (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt (pow 1 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (pow (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) 3)) (cbrt (pow (cbrt (log (/ (+ N 1.0) N))) 3)) (cbrt (pow (sqrt (log (/ (+ N 1.0) N))) 3)) (cbrt (pow (sqrt (log (/ (+ N 1.0) N))) 3)) (cbrt (pow 1 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (cbrt (* (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3)))) (cbrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt (pow 1 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (pow (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) 3)) (cbrt (pow (cbrt (log (/ (+ N 1.0) N))) 3)) (cbrt (pow (sqrt (log (/ (+ N 1.0) N))) 3)) (cbrt (pow (sqrt (log (/ (+ N 1.0) N))) 3)) (cbrt (pow 1 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (log (/ (+ N 1.0) N))) (cbrt (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)))) (cbrt (sqrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt (sqrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt 1) (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (pow (log (/ (+ N 1.0) N)) (/ 3 2))) (cbrt (pow (log (/ (+ N 1.0) N)) (/ 3 2))) (* (cbrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt (cbrt (pow (log (/ (+ N 1.0) N)) 3)))) (cbrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (* (* (cbrt (pow (log (/ (+ N 1.0) N)) 3)) (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (sqrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (sqrt (cbrt (pow (log (/ (+ N 1.0) N)) 3))) (- (+ (* 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)))) (- (+ (* 3.0 (* N (pow (log N) 2))) (+ (* 3.0 (* (pow N 2) (log 1.0))) (+ (* 3.0 (* N (pow (log 1.0) 2))) (+ (* 3 (/ (* (pow N 2) (* (log 1.0) (log N))) (pow 1.0 2))) (+ (* 3 (* (log 1.0) (pow (log N) 2))) (pow (log 1.0) 3)))))) (+ (* 3.0 (* (pow N 2) (log N))) (+ (pow (log N) 3) (+ (* 6.0 (* N (* (log 1.0) (log N)))) (+ (* 3 (* (pow (log 1.0) 2) (log N))) (+ (* 3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2))) (* 3/2 (/ (* (pow N 2) (pow (log N) 2)) (pow 1.0 2))))))))) (- (+ (pow (log 1) 3) (+ (* 3.0 (/ (pow (log 1) 2) N)) (* 3.0 (/ (log 1) (pow N 2))))) (* 1.5 (/ (pow (log 1) 2) (pow N 2)))) (- (+ (pow (log 1) 3) (+ (* 3.0 (/ (pow (log 1) 2) N)) (* 3.0 (/ (log 1) (pow N 2))))) (* 1.5 (/ (pow (log 1) 2) (pow N 2)))) (- (+ (* 3.0 (* N (pow (log N) 2))) (+ (* 3.0 (* (pow N 2) (log 1.0))) (+ (* 3.0 (* N (pow (log 1.0) 2))) (+ (* 3 (/ (* (pow N 2) (* (log 1.0) (log N))) (pow 1.0 2))) (+ (* 3 (* (log 1.0) (pow (log N) 2))) (pow (log 1.0) 3)))))) (+ (* 3.0 (* (pow N 2) (log N))) (+ (pow (log N) 3) (+ (* 6.0 (* N (* (log 1.0) (log N)))) (+ (* 3 (* (pow (log 1.0) 2) (log N))) (+ (* 3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2))) (* 3/2 (/ (* (pow N 2) (pow (log N) 2)) (pow 1.0 2))))))))) (- (+ (pow (log 1) 3) (+ (* 3.0 (/ (pow (log 1) 2) N)) (* 3.0 (/ (log 1) (pow N 2))))) (* 1.5 (/ (pow (log 1) 2) (pow N 2)))) (- (+ (pow (log 1) 3) (+ (* 3.0 (/ (pow (log 1) 2) N)) (* 3.0 (/ (log 1) (pow N 2))))) (* 1.5 (/ (pow (log 1) 2) (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)))) 0.739 * * [simplify]: iteration 0 : 509 enodes (cost 1060 ) 0.748 * * [simplify]: iteration 1 : 1944 enodes (cost 970 ) 0.788 * * [simplify]: iteration 2 : 5002 enodes (cost 888 ) 0.794 * [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))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) 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(+ (+ (* 6.0 (* N (* (log 1.0) (log N)))) (* 3 (* (pow (log 1.0) 2) (log N)))) (* 3/2 (+ (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2)) (/ (* (pow N 2) (pow (log N) 2)) (pow 1.0 2)))))))) 0 0 (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* 1.0 (/ 1 N)) (/ (neg 0.5) (pow N 2))) (+ (* 1.0 (/ 1 N)) (/ (neg 0.5) (pow N 2))) 0.795 * * * [progress]: adding candidates to table 0.952 * [progress]: [Phase 3 of 3] Extracting. 0.952 * * [regime]: Finding splitpoints for: (# # # #) 0.952 * * * [regime-changes]: Trying 1 branch expressions: (N) 0.952 * * * * [regimes]: Trying to branch on N from (# # # #) 0.987 * * * [regime]: Found split indices: #