17.458 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.039 * * * [progress]: [2/2] Setting up program. 0.042 * [progress]: [Phase 2 of 3] Improving. 0.042 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.044 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.045 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.046 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.046 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.049 * * * * [pick]: Picked # 0.049 * * * [progress]: localizing error 0.055 * * * [progress]: generating rewritten candidates 0.055 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.058 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.067 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.067 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.067 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.067 * [taylor]: Taking taylor expansion of N in N 0.067 * [taylor]: Taking taylor expansion of 1.0 in N 0.067 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.067 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.067 * [taylor]: Taking taylor expansion of N in N 0.067 * [taylor]: Taking taylor expansion of 1.0 in N 0.068 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.068 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.068 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.068 * [taylor]: Taking taylor expansion of N in N 0.068 * [taylor]: Taking taylor expansion of 1.0 in N 0.068 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.068 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.068 * [taylor]: Taking taylor expansion of N in N 0.068 * [taylor]: Taking taylor expansion of 1.0 in N 0.069 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.069 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.069 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.069 * [taylor]: Taking taylor expansion of 1.0 in N 0.069 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.069 * [taylor]: Taking taylor expansion of N in N 0.069 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.069 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.069 * [taylor]: Taking taylor expansion of 1.0 in N 0.069 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.069 * [taylor]: Taking taylor expansion of N in N 0.070 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.070 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.070 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.070 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.070 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.070 * [taylor]: Taking taylor expansion of N in N 0.070 * [taylor]: Taking taylor expansion of 1.0 in N 0.070 * [taylor]: Taking taylor expansion of (log N) in N 0.070 * [taylor]: Taking taylor expansion of N in N 0.070 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.070 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.070 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.070 * [taylor]: Taking taylor expansion of N in N 0.070 * [taylor]: Taking taylor expansion of 1.0 in N 0.070 * [taylor]: Taking taylor expansion of (log N) in N 0.070 * [taylor]: Taking taylor expansion of N in N 0.071 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.071 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.071 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.071 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.071 * [taylor]: Taking taylor expansion of N in N 0.071 * [taylor]: Taking taylor expansion of 1.0 in N 0.072 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.072 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.072 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.072 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.072 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.072 * [taylor]: Taking taylor expansion of 1.0 in N 0.072 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.072 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.074 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.074 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.074 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.074 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.074 * [taylor]: Taking taylor expansion of 1.0 in N 0.074 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.074 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.074 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.074 * [taylor]: Taking taylor expansion of -1 in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.074 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.074 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.074 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.074 * [taylor]: Taking taylor expansion of 1.0 in N 0.074 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.074 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.074 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.074 * [taylor]: Taking taylor expansion of -1 in N 0.074 * [taylor]: Taking taylor expansion of N in N 0.076 * * * [progress]: simplifying candidates 0.076 * [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))) 0.085 * * [simplify]: iteration 0 : 232 enodes (cost 285 ) 0.089 * * [simplify]: iteration 1 : 628 enodes (cost 264 ) 0.099 * * [simplify]: iteration 2 : 2171 enodes (cost 244 ) 0.137 * * [simplify]: iteration 3 : 5001 enodes (cost 244 ) 0.139 * [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))) 0.140 * * * [progress]: adding candidates to table 0.214 * * [progress]: iteration 2 / 4 0.214 * * * [progress]: picking best candidate 0.218 * * * * [pick]: Picked # 0.219 * * * [progress]: localizing error 0.223 * * * [progress]: generating rewritten candidates 0.223 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.228 * * * * [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 0.237 * [taylor]: Taking taylor expansion of 1.0 in N 0.237 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.237 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.237 * [taylor]: Taking taylor expansion of N in N 0.237 * [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 0.238 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 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 0.238 * [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 0.242 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 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 0.242 * [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 0.244 * * * [progress]: simplifying candidates 0.245 * [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 ) 0.252 * * [simplify]: iteration 1 : 736 enodes (cost 343 ) 0.263 * * [simplify]: iteration 2 : 3220 enodes (cost 333 ) 0.332 * * [simplify]: iteration 3 : 5002 enodes (cost 333 ) 0.335 * [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) 0.336 * * * [progress]: adding candidates to table 0.408 * * [progress]: iteration 3 / 4 0.408 * * * [progress]: picking best candidate 0.413 * * * * [pick]: Picked # 0.413 * * * [progress]: localizing error 0.420 * * * [progress]: generating rewritten candidates 0.421 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.426 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.431 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.436 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.445 * * * [progress]: generating series expansions 0.445 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.445 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.445 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.445 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 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 0.446 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.446 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.446 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.446 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.446 * [taylor]: Taking taylor expansion of N in N 0.446 * [taylor]: Taking taylor expansion of 1.0 in N 0.446 * [taylor]: Taking taylor expansion of N in N 0.448 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.448 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.448 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.448 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.448 * [taylor]: Taking taylor expansion of N in N 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.448 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.448 * [taylor]: Taking taylor expansion of N in N 0.448 * [taylor]: Taking taylor expansion of 1.0 in N 0.448 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.448 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.448 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.448 * [taylor]: Taking taylor expansion of N in N 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.448 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.448 * [taylor]: Taking taylor expansion of N in N 0.448 * [taylor]: Taking taylor expansion of 1.0 in N 0.449 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.449 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.449 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.449 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.449 * [taylor]: Taking taylor expansion of -1 in N 0.449 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.449 * [taylor]: Taking taylor expansion of N in N 0.449 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.450 * [taylor]: Taking taylor expansion of 1.0 in N 0.450 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.450 * [taylor]: Taking taylor expansion of N in N 0.450 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.450 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.450 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.450 * [taylor]: Taking taylor expansion of -1 in N 0.450 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.450 * [taylor]: Taking taylor expansion of N in N 0.450 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.450 * [taylor]: Taking taylor expansion of 1.0 in N 0.450 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.450 * [taylor]: Taking taylor expansion of N in N 0.451 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.451 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.451 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.451 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.451 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.451 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.451 * [taylor]: Taking taylor expansion of N in N 0.451 * [taylor]: Taking taylor expansion of 1.0 in N 0.451 * [taylor]: Taking taylor expansion of N in N 0.451 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.451 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.451 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.451 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.451 * [taylor]: Taking taylor expansion of N in N 0.451 * [taylor]: Taking taylor expansion of 1.0 in N 0.451 * [taylor]: Taking taylor expansion of N in N 0.453 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.453 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.453 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.453 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.453 * [taylor]: Taking taylor expansion of N in N 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.453 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.453 * [taylor]: Taking taylor expansion of N in N 0.453 * [taylor]: Taking taylor expansion of 1.0 in N 0.453 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.453 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.453 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.453 * [taylor]: Taking taylor expansion of N in N 0.453 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.453 * [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 1.0 in N 0.454 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.454 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.454 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.454 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.455 * [taylor]: Taking taylor expansion of -1 in N 0.455 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.455 * [taylor]: Taking taylor expansion of N in N 0.455 * [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 0.455 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.455 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.455 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.455 * [taylor]: Taking taylor expansion of -1 in N 0.455 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.455 * [taylor]: Taking taylor expansion of N in N 0.455 * [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 2 1) 0.456 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 0.456 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.456 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.456 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.456 * [taylor]: Taking taylor expansion of N in N 0.456 * [taylor]: Taking taylor expansion of 1.0 in N 0.456 * [taylor]: Taking taylor expansion of N in N 0.456 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.456 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.456 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.456 * [taylor]: Taking taylor expansion of N in N 0.456 * [taylor]: Taking taylor expansion of 1.0 in N 0.456 * [taylor]: Taking taylor expansion of N in N 0.457 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.457 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.457 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.457 * [taylor]: Taking taylor expansion of N in N 0.457 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.457 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.457 * [taylor]: Taking taylor expansion of N in N 0.457 * [taylor]: Taking taylor expansion of 1.0 in N 0.458 * [taylor]: Taking taylor expansion of (sqrt (* 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 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.458 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.458 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.458 * [taylor]: Taking taylor expansion of -1 in N 0.458 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.458 * [taylor]: Taking taylor expansion of N in N 0.458 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.458 * [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 (sqrt (* -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) 0.460 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 0.460 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.460 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.460 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.460 * [taylor]: Taking taylor expansion of N in N 0.460 * [taylor]: Taking taylor expansion of 1.0 in N 0.460 * [taylor]: Taking taylor expansion of N in N 0.460 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.460 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.460 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.460 * [taylor]: Taking taylor expansion of N in N 0.460 * [taylor]: Taking taylor expansion of 1.0 in N 0.460 * [taylor]: Taking taylor expansion of N in N 0.461 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.461 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.461 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.461 * [taylor]: Taking taylor expansion of N in N 0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.461 * [taylor]: Taking taylor expansion of (/ 1 N) 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 (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.461 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.461 * [taylor]: Taking taylor expansion of N in N 0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.461 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.461 * [taylor]: Taking taylor expansion of N in N 0.461 * [taylor]: Taking taylor expansion of 1.0 in N 0.462 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.462 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.462 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.462 * [taylor]: Taking taylor expansion of -1 in N 0.462 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.462 * [taylor]: Taking taylor expansion of N in N 0.462 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.462 * [taylor]: Taking taylor expansion of 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 (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.462 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.462 * [taylor]: Taking taylor expansion of -1 in N 0.462 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.462 * [taylor]: Taking taylor expansion of N in N 0.462 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.462 * [taylor]: Taking taylor expansion of 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 0.463 * * * [progress]: simplifying candidates 0.465 * [simplify]: Simplifying using # : (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N))) (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) 1)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt 1) (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N))) (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) 1)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt 1) (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (- (+ (* 3/2 (* (pow N 2) (pow NAN 4))) (+ N (log NAN))) (+ (* 1/2 (pow N 2)) (+ (* N (pow NAN 2)) (* (pow N 2) (pow NAN 2))))) (- (+ (* 0.5 (/ 1 N)) (log 1)) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) (log 1)) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 3/2 (* (pow N 2) (pow NAN 4))) (+ N (log NAN))) (+ (* 1/2 (pow N 2)) (+ (* N (pow NAN 2)) (* (pow N 2) (pow NAN 2))))) (- (+ (* 0.5 (/ 1 N)) (log 1)) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) (log 1)) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 2 (* (pow NAN 5) (pow N 2))) (+ NAN (* N NAN))) (+ (* 2 (* (pow NAN 3) (pow N 2))) (* N (pow NAN 3)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 2 (* (pow NAN 5) (pow N 2))) (+ NAN (* N NAN))) (+ (* 2 (* (pow NAN 3) (pow N 2))) (* N (pow NAN 3)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 0.470 * * [simplify]: iteration 0 : 242 enodes (cost 986 ) 0.474 * * [simplify]: iteration 1 : 753 enodes (cost 932 ) 0.488 * * [simplify]: iteration 2 : 3218 enodes (cost 884 ) 0.576 * * [simplify]: iteration 3 : 5002 enodes (cost 876 ) 0.581 * [simplify]: Simplified to: (* 2 (log (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) 0 (log (sqrt (/ (+ N 1.0) N))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (pow N 1/2)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (sqrt (/ (+ N 1.0) N)) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (pow (log (sqrt (/ (+ N 1.0) N))) 3) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (* 2 (log (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ 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1.0) N))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) 0 (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (pow N 1/2)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (sqrt (/ (+ N 1.0) N)) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (pow (log (sqrt (/ (+ N 1.0) N))) 3) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (pow (sqrt (/ (+ N 1.0) N)) 3) (fabs (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (fabs (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (fabs (cbrt (+ N 1.0))) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) 1)) (sqrt (/ (sqrt (+ N 1.0)) N)) (fabs (/ 1 (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) (fabs (/ 1 (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (pow (sqrt (/ (+ N 1.0) N)) 3) (fabs (cbrt (/ (+ N 1.0) N))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (fabs (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (fabs (cbrt (+ N 1.0))) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) 1)) (sqrt (/ (sqrt (+ N 1.0)) N)) (fabs (/ 1 (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) (fabs (/ 1 (cbrt N))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) 1 (sqrt (/ (+ N 1.0) N)) 1 (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) 1/2 (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (+ (- (* (pow N 2) (- (* (pow NAN 4) 3/2) 1/2)) (* (pow NAN 2) (+ N (pow N 2)))) (+ N (log NAN))) (* (/ 1 N) (- 0.5 (/ 0.25 N))) (* (/ 1 N) (- 0.5 (/ 0.25 N))) (+ (- (* (pow N 2) (- (* (pow NAN 4) 3/2) 1/2)) (* (pow NAN 2) (+ N (pow N 2)))) (+ N (log NAN))) (* (/ 1 N) (- 0.5 (/ 0.25 N))) (* (/ 1 N) (- 0.5 (/ 0.25 N))) (+ (* N (+ (* (* 2 (pow NAN 5)) N) NAN)) (- NAN (* (pow NAN 3) (+ N (* (pow N 2) 2))))) (+ (* (/ 1 N) (- 0.5 (/ 0.125 N))) 1) (+ (* (/ 1 N) (- 0.5 (/ 0.125 N))) 1) (+ (* N (+ (* (* 2 (pow NAN 5)) N) NAN)) (- NAN (* (pow NAN 3) (+ N (* (pow N 2) 2))))) (+ (* (/ 1 N) (- 0.5 (/ 0.125 N))) 1) (+ (* (/ 1 N) (- 0.5 (/ 0.125 N))) 1) 0.582 * * * [progress]: adding candidates to table 0.817 * * [progress]: iteration 4 / 4 0.817 * * * [progress]: picking best candidate 0.823 * * * * [pick]: Picked # 0.823 * * * [progress]: localizing error 0.833 * * * [progress]: generating rewritten candidates 0.833 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.839 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.845 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.847 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 0.856 * * * [progress]: generating series expansions 0.856 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.856 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.856 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.856 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.856 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.856 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.856 * [taylor]: Taking taylor expansion of N in N 0.856 * [taylor]: Taking taylor expansion of 1.0 in N 0.856 * [taylor]: Taking taylor expansion of N in N 0.857 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.857 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.857 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.857 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.857 * [taylor]: Taking taylor expansion of N in N 0.857 * [taylor]: Taking taylor expansion of 1.0 in N 0.857 * [taylor]: Taking taylor expansion of N in N 0.858 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.859 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.859 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.859 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.859 * [taylor]: Taking taylor expansion of N in N 0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.859 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.859 * [taylor]: Taking taylor expansion of N in N 0.859 * [taylor]: Taking taylor expansion of 1.0 in N 0.859 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.859 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.859 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.859 * [taylor]: Taking taylor expansion of N in N 0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.859 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.859 * [taylor]: Taking taylor expansion of N in N 0.859 * [taylor]: Taking taylor expansion of 1.0 in N 0.860 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.860 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.860 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.860 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.860 * [taylor]: Taking taylor expansion of -1 in N 0.860 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.860 * [taylor]: Taking taylor expansion of N in N 0.860 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.860 * [taylor]: Taking taylor expansion of 1.0 in N 0.860 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.860 * [taylor]: Taking taylor expansion of N in N 0.860 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.860 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.860 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.860 * [taylor]: Taking taylor expansion of -1 in N 0.860 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.860 * [taylor]: Taking taylor expansion of N in N 0.860 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.860 * [taylor]: Taking taylor expansion of 1.0 in N 0.860 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.860 * [taylor]: Taking taylor expansion of N in N 0.861 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.862 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.862 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.862 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.862 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.862 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.862 * [taylor]: Taking taylor expansion of N in N 0.862 * [taylor]: Taking taylor expansion of 1.0 in N 0.862 * [taylor]: Taking taylor expansion of N in N 0.862 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.862 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.862 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.862 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.862 * [taylor]: Taking taylor expansion of N in N 0.862 * [taylor]: Taking taylor expansion of 1.0 in N 0.862 * [taylor]: Taking taylor expansion of N in N 0.864 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.864 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.864 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.864 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.864 * [taylor]: Taking taylor expansion of N in N 0.864 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.864 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.864 * [taylor]: Taking taylor expansion of N in N 0.864 * [taylor]: Taking taylor expansion of 1.0 in N 0.864 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.864 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.864 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.864 * [taylor]: Taking taylor expansion of N in N 0.864 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.864 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.864 * [taylor]: Taking taylor expansion of N in N 0.864 * [taylor]: Taking taylor expansion of 1.0 in N 0.865 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.865 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.865 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.865 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.865 * [taylor]: Taking taylor expansion of -1 in N 0.865 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.865 * [taylor]: Taking taylor expansion of N in N 0.865 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.865 * [taylor]: Taking taylor expansion of 1.0 in N 0.865 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.865 * [taylor]: Taking taylor expansion of N in N 0.865 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.865 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.865 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.865 * [taylor]: Taking taylor expansion of -1 in N 0.865 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.866 * [taylor]: Taking taylor expansion of N in N 0.866 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.866 * [taylor]: Taking taylor expansion of 1.0 in N 0.866 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.866 * [taylor]: Taking taylor expansion of N in N 0.867 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.867 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.867 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.867 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.867 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.867 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.867 * [taylor]: Taking taylor expansion of N in N 0.867 * [taylor]: Taking taylor expansion of 1.0 in N 0.867 * [taylor]: Taking taylor expansion of N in N 0.867 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.867 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.867 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.867 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.867 * [taylor]: Taking taylor expansion of N in N 0.867 * [taylor]: Taking taylor expansion of 1.0 in N 0.867 * [taylor]: Taking taylor expansion of N in N 0.869 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.869 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.869 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.869 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.869 * [taylor]: Taking taylor expansion of N in N 0.869 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.869 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.869 * [taylor]: Taking taylor expansion of N in N 0.869 * [taylor]: Taking taylor expansion of 1.0 in N 0.869 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.869 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.869 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.869 * [taylor]: Taking taylor expansion of N in N 0.869 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.869 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.869 * [taylor]: Taking taylor expansion of N in N 0.869 * [taylor]: Taking taylor expansion of 1.0 in N 0.870 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.870 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.870 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.870 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.870 * [taylor]: Taking taylor expansion of -1 in N 0.870 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.870 * [taylor]: Taking taylor expansion of N in N 0.870 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.870 * [taylor]: Taking taylor expansion of 1.0 in N 0.870 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.870 * [taylor]: Taking taylor expansion of N in N 0.871 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.871 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.871 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.871 * [taylor]: Taking taylor expansion of -1 in N 0.871 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.871 * [taylor]: Taking taylor expansion of N in N 0.871 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.871 * [taylor]: Taking taylor expansion of 1.0 in N 0.871 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.871 * [taylor]: Taking taylor expansion of N in N 0.872 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 0.872 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 0.872 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.872 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.872 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.872 * [taylor]: Taking taylor expansion of N in N 0.872 * [taylor]: Taking taylor expansion of 1.0 in N 0.872 * [taylor]: Taking taylor expansion of N in N 0.872 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.872 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.872 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.872 * [taylor]: Taking taylor expansion of N in N 0.872 * [taylor]: Taking taylor expansion of 1.0 in N 0.872 * [taylor]: Taking taylor expansion of N in N 0.873 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.873 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.873 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.873 * [taylor]: Taking taylor expansion of N in N 0.873 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.873 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.873 * [taylor]: Taking taylor expansion of N in N 0.873 * [taylor]: Taking taylor expansion of 1.0 in N 0.873 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.874 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.874 * [taylor]: Taking taylor expansion of N in N 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.874 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.874 * [taylor]: Taking taylor expansion of N in N 0.874 * [taylor]: Taking taylor expansion of 1.0 in N 0.874 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.874 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.874 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.874 * [taylor]: Taking taylor expansion of -1 in N 0.874 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.874 * [taylor]: Taking taylor expansion of N in N 0.874 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.874 * [taylor]: Taking taylor expansion of 1.0 in N 0.874 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.874 * [taylor]: Taking taylor expansion of N in N 0.875 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.875 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.875 * [taylor]: Taking taylor expansion of -1 in N 0.875 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.875 * [taylor]: Taking taylor expansion of N in N 0.875 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.875 * [taylor]: Taking taylor expansion of 1.0 in N 0.875 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.875 * [taylor]: Taking taylor expansion of N in N 0.875 * * * [progress]: simplifying candidates 0.877 * [simplify]: Simplifying using # : (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (log (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (log (sqrt (/ (cbrt (+ N 1.0)) N))) (log (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (sqrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) 1))) (log (sqrt (/ (sqrt (+ N 1.0)) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ 1 (* (cbrt N) (cbrt N))))) (log (sqrt (/ (+ N 1.0) (cbrt N)))) (log (sqrt (/ 1 (sqrt N)))) (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt (/ 1 1))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt 1)) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt (/ 1 N))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log 1) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (+ N 1.0))) (log (sqrt N)) (log (/ (+ N 1.0) N)) (log (sqrt (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (log (sqrt (/ (+ N 1.0) N)))) (exp (log (sqrt (/ (+ N 1.0) N)))) (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (sqrt (/ (+ N 1.0) N)))) (* (* (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (sqrt (log (sqrt (/ (+ N 1.0) N)))) (exp 1) (exp (* (cbrt (log (log (sqrt (/ (+ N 1.0) N))))) (cbrt (log (log (sqrt (/ (+ N 1.0) N))))))) (exp (sqrt (log (log (sqrt (/ (+ N 1.0) N)))))) (exp 1) (exp (log 1/2)) (exp (log (log (/ (+ N 1.0) N)))) (exp (log 1)) (exp (log (log (sqrt (/ (+ N 1.0) N))))) (exp (log (/ 1 2))) (exp (log (log (/ (+ N 1.0) N)))) (exp (log (* (cbrt (log (sqrt (/ (+ N 1.0) N)))) (cbrt (log (sqrt (/ (+ N 1.0) N))))))) (exp (log (cbrt (log (sqrt (/ (+ N 1.0) N)))))) (exp (log (sqrt (log (sqrt (/ (+ N 1.0) N)))))) (exp (log (sqrt (log (sqrt (/ (+ N 1.0) N)))))) (exp (log 1)) (exp (log (log (sqrt (/ (+ N 1.0) N))))) (log (exp (log (log (sqrt (/ (+ N 1.0) N)))))) (exp (exp (log (log (sqrt (/ (+ N 1.0) N)))))) (* (cbrt (exp (log (log (sqrt (/ (+ N 1.0) N)))))) (cbrt (exp (log (log (sqrt (/ (+ N 1.0) N))))))) (cbrt (exp (log (log (sqrt (/ (+ N 1.0) N)))))) (* (* (exp (log (log (sqrt (/ (+ N 1.0) N))))) (exp (log (log (sqrt (/ (+ N 1.0) N)))))) (exp (log (log (sqrt (/ (+ N 1.0) N)))))) (sqrt (exp (log (log (sqrt (/ (+ N 1.0) N)))))) (sqrt (exp (log (log (sqrt (/ (+ N 1.0) N)))))) (log (sqrt (/ (+ N 1.0) N))) (exp (sqrt (/ (+ N 1.0) N))) (* (cbrt (sqrt (/ (+ N 1.0) N))) (cbrt (sqrt (/ (+ N 1.0) N)))) (cbrt (sqrt (/ (+ N 1.0) N))) (* (* (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N))) (sqrt (/ (+ N 1.0) N))) (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (sqrt (cbrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (sqrt (/ (cbrt (+ N 1.0)) (cbrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (sqrt (/ (cbrt (+ N 1.0)) (sqrt N))) (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (sqrt (/ (cbrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (sqrt (/ (sqrt (+ N 1.0)) (cbrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) (sqrt N))) (sqrt (/ (sqrt (+ N 1.0)) 1)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ 1 (* (cbrt N) (cbrt N)))) (sqrt (/ (+ N 1.0) (cbrt N))) (sqrt (/ 1 (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ 1 1)) (sqrt (/ (+ N 1.0) N)) (sqrt 1) (sqrt (/ (+ N 1.0) N)) (sqrt (+ N 1.0)) (sqrt (/ 1 N)) (sqrt (+ N 1.0)) (sqrt N) (/ 1 2) (sqrt (sqrt (/ (+ N 1.0) N))) (sqrt (sqrt (/ (+ N 1.0) N))) (- (+ (* 3/2 (* (pow N 2) (pow NAN 4))) (+ N (log NAN))) (+ (* 1/2 (pow N 2)) (+ (* N (pow NAN 2)) (* (pow N 2) (pow NAN 2))))) (- (+ (* 0.5 (/ 1 N)) (log 1)) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) (log 1)) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 3/2 (* (pow N 2) (pow NAN 4))) (+ N (log NAN))) (+ (* 1/2 (pow N 2)) (+ (* N (pow NAN 2)) (* (pow N 2) (pow NAN 2))))) (- (+ (* 0.5 (/ 1 N)) (log 1)) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) (log 1)) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 3/2 (* (pow N 2) (pow NAN 4))) (+ N (log NAN))) (+ (* 1/2 (pow N 2)) (+ (* N (pow NAN 2)) (* (pow N 2) (pow NAN 2))))) (- (+ (* 0.5 (/ 1 N)) (log 1)) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) (log 1)) (* 0.25 (/ 1 (pow N 2)))) (- (+ (* 2 (* (pow NAN 5) (pow N 2))) (+ NAN (* N NAN))) (+ (* 2 (* (pow NAN 3) (pow N 2))) (* N (pow NAN 3)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 0.883 * * [simplify]: iteration 0 : 279 enodes (cost 926 ) 0.888 * * [simplify]: iteration 1 : 821 enodes (cost 872 ) 0.902 * * [simplify]: iteration 2 : 3346 enodes (cost 814 ) 0.991 * * [simplify]: iteration 3 : 5001 enodes (cost 802 ) 0.996 * [simplify]: Simplified to: (* 2 (log (cbrt (sqrt (/ (+ N 1.0) N))))) (log (cbrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))))) (log (sqrt (cbrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (sqrt (/ (+ N 1.0) N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (log (sqrt (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (sqrt (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)))) (log (sqrt (/ (cbrt (+ N 1.0)) (sqrt N)))) (log 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(log NAN))) (* (/ 1 N) (- 0.5 (/ 0.25 N))) (* (/ 1 N) (- 0.5 (/ 0.25 N))) (+ (- (* (pow N 2) (- (* (pow NAN 4) 3/2) 1/2)) (* (pow NAN 2) (+ N (pow N 2)))) (+ N (log NAN))) (* (/ 1 N) (- 0.5 (/ 0.25 N))) (* (/ 1 N) (- 0.5 (/ 0.25 N))) (+ (* N (+ (* (* 2 (pow NAN 5)) N) NAN)) (- NAN (* (pow NAN 3) (+ N (* (pow N 2) 2))))) (+ (* (/ 1 N) (- 0.5 (/ 0.125 N))) 1) (+ (* (/ 1 N) (- 0.5 (/ 0.125 N))) 1) 0.997 * * * [progress]: adding candidates to table 1.238 * [progress]: [Phase 3 of 3] Extracting. 1.238 * * [regime]: Finding splitpoints for: (# # #) 1.239 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.239 * * * * [regimes]: Trying to branch on N from (# # #) 1.274 * * * [regime]: Found split indices: #