25.264 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.048 * [progress]: [Phase 2 of 3] Improving. 0.049 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.051 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.052 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.053 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.053 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.054 * * [progress]: iteration 1 / 4 0.054 * * * [progress]: picking best candidate 0.056 * * * * [pick]: Picked # 0.056 * * * [progress]: localizing error 0.062 * * * [progress]: generating rewritten candidates 0.062 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.065 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.073 * * * [progress]: generating series expansions 0.073 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.073 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.073 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.073 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.073 * [taylor]: Taking taylor expansion of N in N 0.073 * [taylor]: Taking taylor expansion of 1.0 in N 0.073 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.073 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.073 * [taylor]: Taking taylor expansion of N in N 0.073 * [taylor]: Taking taylor expansion of 1.0 in N 0.075 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.075 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.075 * [taylor]: Taking taylor expansion of N in N 0.075 * [taylor]: Taking taylor expansion of 1.0 in N 0.075 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.075 * [taylor]: Taking taylor expansion of N in N 0.075 * [taylor]: Taking taylor expansion of 1.0 in N 0.076 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.076 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.076 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.076 * [taylor]: Taking taylor expansion of 1.0 in N 0.076 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.076 * [taylor]: Taking taylor expansion of N in N 0.076 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.076 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.076 * [taylor]: Taking taylor expansion of 1.0 in N 0.076 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.076 * [taylor]: Taking taylor expansion of N in N 0.077 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.077 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.077 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.077 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.077 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.077 * [taylor]: Taking taylor expansion of 1.0 in N 0.077 * [taylor]: Taking taylor expansion of (log N) in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.077 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.077 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.077 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.077 * [taylor]: Taking taylor expansion of 1.0 in N 0.077 * [taylor]: Taking taylor expansion of (log N) in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.078 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.078 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.078 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.078 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.079 * [taylor]: Taking taylor expansion of 1.0 in N 0.079 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.079 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.079 * [taylor]: Taking taylor expansion of N in N 0.079 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 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 0.079 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.079 * [taylor]: Taking taylor expansion of N in N 0.079 * [taylor]: Taking taylor expansion of 1.0 in N 0.079 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.079 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.079 * [taylor]: Taking taylor expansion of N in N 0.081 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.081 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 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 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.081 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.081 * [taylor]: Taking taylor expansion of -1 in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 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 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.081 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.081 * [taylor]: Taking taylor expansion of -1 in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.082 * * * [progress]: simplifying candidates 0.083 * [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))) 0.087 * * [simplify]: iteration 0 : 232 enodes (cost 285 ) 0.090 * * [simplify]: iteration 1 : 628 enodes (cost 264 ) 0.099 * * [simplify]: iteration 2 : 2171 enodes (cost 244 ) 0.138 * * [simplify]: iteration 3 : 5001 enodes (cost 244 ) 0.140 * [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 0.210 * * [progress]: iteration 2 / 4 0.210 * * * [progress]: picking best candidate 0.213 * * * * [pick]: Picked # 0.213 * * * [progress]: localizing error 0.219 * * * [progress]: generating rewritten candidates 0.219 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.234 * * * [progress]: generating series expansions 0.234 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.234 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in (N) around 0 0.234 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in N 0.234 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 0.234 * [taylor]: Taking taylor expansion of 1.0 in N 0.234 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 0.234 * [taylor]: Taking taylor expansion of 0.5 in N 0.234 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.234 * [taylor]: Taking taylor expansion of N in N 0.234 * [taylor]: Taking taylor expansion of N in N 0.234 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in N 0.234 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 0.234 * [taylor]: Taking taylor expansion of 1.0 in N 0.234 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 0.234 * [taylor]: Taking taylor expansion of 0.5 in N 0.234 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.234 * [taylor]: Taking taylor expansion of N in N 0.234 * [taylor]: Taking taylor expansion of N in N 0.236 * [approximate]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in (N) around 0 0.236 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 0.236 * [taylor]: Taking taylor expansion of N in N 0.236 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 0.236 * [taylor]: Taking taylor expansion of 1.0 in N 0.236 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.236 * [taylor]: Taking taylor expansion of 0.5 in N 0.236 * [taylor]: Taking taylor expansion of N in N 0.236 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 0.236 * [taylor]: Taking taylor expansion of N in N 0.236 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 0.236 * [taylor]: Taking taylor expansion of 1.0 in N 0.236 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.236 * [taylor]: Taking taylor expansion of 0.5 in N 0.236 * [taylor]: Taking taylor expansion of N in N 0.237 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in (N) around 0 0.237 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in N 0.237 * [taylor]: Taking taylor expansion of -1 in N 0.237 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 0.237 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 0.237 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.237 * [taylor]: Taking taylor expansion of 0.5 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 * [taylor]: Taking taylor expansion of N in N 0.237 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in N 0.237 * [taylor]: Taking taylor expansion of -1 in N 0.237 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 0.237 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 0.237 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.237 * [taylor]: Taking taylor expansion of 0.5 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 * [taylor]: Taking taylor expansion of N in N 0.239 * * * [progress]: simplifying candidates 0.240 * [simplify]: Simplifying using # : (* (/ 1 N) (- 1.0 (/ 0.5 N))) (+ (neg (log N)) (log (- 1.0 (/ 0.5 N)))) (+ (- 0 (log N)) (log (- 1.0 (/ 0.5 N)))) (+ (- (log 1) (log N)) (log (- 1.0 (/ 0.5 N)))) (+ (log (/ 1 N)) (log (- 1.0 (/ 0.5 N)))) (log (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (exp (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (* (/ (* (* 1 1) 1) (* (* N N) N)) (* (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N))) (- 1.0 (/ 0.5 N)))) (* (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (* (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N))) (- 1.0 (/ 0.5 N)))) (* (cbrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (cbrt (* (/ 1 N) (- 1.0 (/ 0.5 N))))) (cbrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (* (* (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (sqrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (sqrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (* 1 (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (* N (+ (* 1.0 1.0) (+ (* (/ 0.5 N) (/ 0.5 N)) (* 1.0 (/ 0.5 N))))) (* 1 (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N)))) (* N (+ 1.0 (/ 0.5 N))) (* (sqrt (/ 1 N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (sqrt (/ 1 N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ (sqrt 1) (sqrt N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ (sqrt 1) (sqrt N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ 1 (sqrt N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ 1 (sqrt N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ 1 N) 1.0) (* (/ 1 N) (neg (/ 0.5 N))) (* (/ 1 N) 1.0) (* (/ 1 N) (neg (/ 0.5 N))) (* 1.0 (/ 1 N)) (* (neg (/ 0.5 N)) (/ 1 N)) (* 1.0 (/ 1 N)) (* (neg (/ 0.5 N)) (/ 1 N)) (* (/ 1 N) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N))))) (* (/ 1 N) (sqrt (- 1.0 (/ 0.5 N)))) (* (/ 1 N) 1) (* (/ 1 N) (+ (sqrt 1.0) (sqrt (/ 0.5 N)))) (* (/ 1 N) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N)))) (* (/ 1 N) 1) (* (cbrt (/ 1 N)) (- 1.0 (/ 0.5 N))) (* (sqrt (/ 1 N)) (- 1.0 (/ 0.5 N))) (* (/ (cbrt 1) (cbrt N)) (- 1.0 (/ 0.5 N))) (* (/ (cbrt 1) (sqrt N)) (- 1.0 (/ 0.5 N))) (* (/ (cbrt 1) N) (- 1.0 (/ 0.5 N))) (* (/ (sqrt 1) (cbrt N)) (- 1.0 (/ 0.5 N))) (* (/ (sqrt 1) (sqrt N)) (- 1.0 (/ 0.5 N))) (* (/ (sqrt 1) N) (- 1.0 (/ 0.5 N))) (* (/ 1 (cbrt N)) (- 1.0 (/ 0.5 N))) (* (/ 1 (sqrt N)) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (* (/ 1 N) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N)))) (* 1 (- 1.0 (/ 0.5 N))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 0.244 * * [simplify]: iteration 0 : 281 enodes (cost 300 ) 0.249 * * [simplify]: iteration 1 : 1192 enodes (cost 246 ) 0.270 * * [simplify]: iteration 2 : 5001 enodes (cost 234 ) 0.272 * [simplify]: Simplified to: (/ (- 1.0 (/ 0.5 N)) N) (log (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (log (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (log (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (log (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (log (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (exp (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (pow (/ (- 1.0 (/ 0.5 N)) N) 3) (pow (/ (- 1.0 (/ 0.5 N)) N) 3) (* (cbrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (cbrt (* (/ 1 N) (- 1.0 (/ 0.5 N))))) (cbrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (pow (/ (- 1.0 (/ 0.5 N)) N) 3) (sqrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (sqrt (* (/ 1 N) (- 1.0 (/ 0.5 N)))) (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (* (+ (* (/ 0.5 N) (+ (/ 0.5 N) 1.0)) (* 1.0 1.0)) N) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))) (* N (+ 1.0 (/ 0.5 N))) (* (sqrt (/ 1 N)) (sqrt (- 1.0 (/ 0.5 N)))) (* (sqrt (/ 1 N)) (sqrt (- 1.0 (/ 0.5 N)))) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ 1.0 N) (/ (neg 0.5) (pow N 2)) (/ 1.0 N) (/ (neg 0.5) (pow N 2)) (/ 1.0 N) (/ (neg 0.5) (pow N 2)) (/ 1.0 N) (/ (neg 0.5) (pow N 2)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) N) (/ (sqrt (- 1.0 (/ 0.5 N))) N) (/ 1 N) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) N) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) N) (/ 1 N) (* (cbrt (/ 1 N)) (- 1.0 (/ 0.5 N))) (* (sqrt (/ 1 N)) (- 1.0 (/ 0.5 N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) N) (/ (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))) N) (- 1.0 (/ 0.5 N)) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) 0.272 * * * [progress]: adding candidates to table 0.320 * * [progress]: iteration 3 / 4 0.320 * * * [progress]: picking best candidate 0.324 * * * * [pick]: Picked # 0.324 * * * [progress]: localizing error 0.328 * * * [progress]: generating rewritten candidates 0.328 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.337 * * * [progress]: generating series expansions 0.337 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.337 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in (N) around 0 0.337 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in N 0.337 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 0.337 * [taylor]: Taking taylor expansion of 1.0 in N 0.337 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 0.337 * [taylor]: Taking taylor expansion of 0.5 in N 0.337 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.337 * [taylor]: Taking taylor expansion of N in N 0.338 * [taylor]: Taking taylor expansion of N in N 0.338 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.5 (/ 1 N))) N) in N 0.338 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 0.338 * [taylor]: Taking taylor expansion of 1.0 in N 0.338 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 0.338 * [taylor]: Taking taylor expansion of 0.5 in N 0.338 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.338 * [taylor]: Taking taylor expansion of N in N 0.338 * [taylor]: Taking taylor expansion of N in N 0.339 * [approximate]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in (N) around 0 0.339 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 0.339 * [taylor]: Taking taylor expansion of N in N 0.339 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 0.339 * [taylor]: Taking taylor expansion of 1.0 in N 0.339 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.339 * [taylor]: Taking taylor expansion of 0.5 in N 0.339 * [taylor]: Taking taylor expansion of N in N 0.339 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 0.339 * [taylor]: Taking taylor expansion of N in N 0.339 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 0.339 * [taylor]: Taking taylor expansion of 1.0 in N 0.339 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.339 * [taylor]: Taking taylor expansion of 0.5 in N 0.340 * [taylor]: Taking taylor expansion of N in N 0.341 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in (N) around 0 0.341 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in N 0.341 * [taylor]: Taking taylor expansion of -1 in N 0.341 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 0.341 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 0.341 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.341 * [taylor]: Taking taylor expansion of 0.5 in N 0.341 * [taylor]: Taking taylor expansion of N in N 0.341 * [taylor]: Taking taylor expansion of 1.0 in N 0.341 * [taylor]: Taking taylor expansion of N in N 0.341 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.5 N) 1.0) N)) in N 0.341 * [taylor]: Taking taylor expansion of -1 in N 0.341 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 0.341 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 0.341 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 0.341 * [taylor]: Taking taylor expansion of 0.5 in N 0.341 * [taylor]: Taking taylor expansion of N in N 0.341 * [taylor]: Taking taylor expansion of 1.0 in N 0.341 * [taylor]: Taking taylor expansion of N in N 0.343 * * * [progress]: simplifying candidates 0.343 * [simplify]: Simplifying using # : (- (log (- 1.0 (/ 0.5 N))) (log N)) (log (/ (- 1.0 (/ 0.5 N)) N)) (exp (/ (- 1.0 (/ 0.5 N)) N)) (/ (* (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N))) (- 1.0 (/ 0.5 N))) (* (* N N) N)) (* (cbrt (/ (- 1.0 (/ 0.5 N)) N)) (cbrt (/ (- 1.0 (/ 0.5 N)) N))) (cbrt (/ (- 1.0 (/ 0.5 N)) N)) (* (* (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N)) (/ (- 1.0 (/ 0.5 N)) N)) (sqrt (/ (- 1.0 (/ 0.5 N)) N)) (sqrt (/ (- 1.0 (/ 0.5 N)) N)) (neg (- 1.0 (/ 0.5 N))) (neg N) (/ 1.0 N) (/ (/ 0.5 N) N) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (* (cbrt N) (cbrt N))) (/ (cbrt (- 1.0 (/ 0.5 N))) (cbrt N)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (sqrt N)) (/ (cbrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) 1) (/ (cbrt (- 1.0 (/ 0.5 N))) N) (/ (sqrt (- 1.0 (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (- 1.0 (/ 0.5 N))) (cbrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) 1) (/ (sqrt (- 1.0 (/ 0.5 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ 1 1) (/ (- 1.0 (/ 0.5 N)) N) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) (cbrt N)) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (sqrt N)) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) (sqrt N)) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) 1) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) N) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (* (cbrt N) (cbrt N))) (/ (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (cbrt N)) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (sqrt N)) (/ (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (sqrt N)) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 1) (/ (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ 1 1) (/ (- 1.0 (/ 0.5 N)) N) (/ 1 N) (/ N (- 1.0 (/ 0.5 N))) (/ (- 1.0 (/ 0.5 N)) (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (/ (- 1.0 (/ 0.5 N)) 1) (/ N (cbrt (- 1.0 (/ 0.5 N)))) (/ N (sqrt (- 1.0 (/ 0.5 N)))) (/ N (- 1.0 (/ 0.5 N))) (/ N (- (sqrt 1.0) (sqrt (/ 0.5 N)))) (/ N (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N)))) (/ N (- 1.0 (/ 0.5 N))) (* N (+ (* 1.0 1.0) (+ (* (/ 0.5 N) (/ 0.5 N)) (* 1.0 (/ 0.5 N))))) (* N (+ 1.0 (/ 0.5 N))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 0.347 * * [simplify]: iteration 0 : 202 enodes (cost 311 ) 0.350 * * [simplify]: iteration 1 : 592 enodes (cost 288 ) 0.360 * * [simplify]: iteration 2 : 2888 enodes (cost 288 ) 0.423 * * [simplify]: iteration 3 : 5001 enodes (cost 287 ) 0.425 * [simplify]: Simplified to: (log (/ (- 1.0 (/ 0.5 N)) N)) (log (/ (- 1.0 (/ 0.5 N)) N)) (exp (/ (- 1.0 (/ 0.5 N)) N)) (pow (/ (- 1.0 (/ 0.5 N)) N) 3) (* (cbrt (/ (- 1.0 (/ 0.5 N)) N)) (cbrt (/ (- 1.0 (/ 0.5 N)) N))) (cbrt (/ (- 1.0 (/ 0.5 N)) N)) (pow (/ (- 1.0 (/ 0.5 N)) N) 3) (sqrt (/ (- 1.0 (/ 0.5 N)) N)) (sqrt (/ (- 1.0 (/ 0.5 N)) N)) (neg (- 1.0 (/ 0.5 N))) (neg N) (/ 1.0 N) (/ (/ 0.5 N) N) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (* (cbrt N) (cbrt N))) (/ (cbrt (- 1.0 (/ 0.5 N))) (cbrt N)) (/ (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (sqrt N)) (/ (cbrt (- 1.0 (/ 0.5 N))) (sqrt N)) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (/ (cbrt (- 1.0 (/ 0.5 N))) N) (/ (sqrt (- 1.0 (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (- 1.0 (/ 0.5 N))) (cbrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (/ (sqrt (- 1.0 (/ 0.5 N))) (sqrt N)) (sqrt (- 1.0 (/ 0.5 N))) (/ (sqrt (- 1.0 (/ 0.5 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) 1 (/ (- 1.0 (/ 0.5 N)) N) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (* (cbrt N) (cbrt N))) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) (cbrt N)) (/ (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (sqrt N)) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) (sqrt N)) (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (/ (- (sqrt 1.0) (sqrt (/ 0.5 N))) N) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (* (cbrt N) (cbrt N))) (/ (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (cbrt N)) (/ (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (sqrt N)) (- (/ (sqrt 1.0) (pow N 1/2)) (/ (sqrt 0.5) N)) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (/ (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) 1 (/ (- 1.0 (/ 0.5 N)) N) (/ 1 N) (/ N (- 1.0 (/ 0.5 N))) (/ (- 1.0 (/ 0.5 N)) (* (cbrt N) (cbrt N))) (/ (- 1.0 (/ 0.5 N)) (sqrt N)) (- 1.0 (/ 0.5 N)) (/ N (cbrt (- 1.0 (/ 0.5 N)))) (/ N (sqrt (- 1.0 (/ 0.5 N)))) (/ N (- 1.0 (/ 0.5 N))) (/ N (- (sqrt 1.0) (sqrt (/ 0.5 N)))) (/ N (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N)))) (/ N (- 1.0 (/ 0.5 N))) (* (+ (* (/ 0.5 N) (+ (/ 0.5 N) 1.0)) (* 1.0 1.0)) N) (* N (+ 1.0 (/ 0.5 N))) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) (/ (- 1.0 (/ 0.5 N)) N) 0.426 * * * [progress]: adding candidates to table 0.475 * * [progress]: iteration 4 / 4 0.475 * * * [progress]: picking best candidate 0.477 * * * * [pick]: Picked # 0.477 * * * [progress]: localizing error 0.481 * * * [progress]: generating rewritten candidates 0.481 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.485 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.492 * * * [progress]: generating series expansions 0.492 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.493 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.493 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.493 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.493 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [taylor]: Taking taylor expansion of 1.0 in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.493 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.493 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [taylor]: Taking taylor expansion of 1.0 in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.494 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.494 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.494 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.494 * [taylor]: Taking taylor expansion of N in N 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.494 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.494 * [taylor]: Taking taylor expansion of N in N 0.494 * [taylor]: Taking taylor expansion of 1.0 in N 0.494 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.494 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.494 * [taylor]: Taking taylor expansion of N in N 0.494 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.494 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.494 * [taylor]: Taking taylor expansion of N in N 0.494 * [taylor]: Taking taylor expansion of 1.0 in N 0.495 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.495 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.495 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.495 * [taylor]: Taking taylor expansion of -1 in N 0.495 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.495 * [taylor]: Taking taylor expansion of 1.0 in N 0.495 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.495 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.495 * [taylor]: Taking taylor expansion of -1 in N 0.495 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.495 * [taylor]: Taking taylor expansion of 1.0 in N 0.495 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.496 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.496 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.496 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.496 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.496 * [taylor]: Taking taylor expansion of N in N 0.496 * [taylor]: Taking taylor expansion of 1.0 in N 0.496 * [taylor]: Taking taylor expansion of N in N 0.496 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.496 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [taylor]: Taking taylor expansion of 1.0 in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.497 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.497 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [taylor]: Taking taylor expansion of 1.0 in N 0.497 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.498 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.498 * [taylor]: Taking taylor expansion of N in N 0.498 * [taylor]: Taking taylor expansion of 1.0 in N 0.499 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.499 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.499 * [taylor]: Taking taylor expansion of -1 in N 0.499 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.499 * [taylor]: Taking taylor expansion of N in N 0.499 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.499 * [taylor]: Taking taylor expansion of 1.0 in N 0.499 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.499 * [taylor]: Taking taylor expansion of N in N 0.499 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.499 * [taylor]: Taking taylor expansion of -1 in N 0.499 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.499 * [taylor]: Taking taylor expansion of N in N 0.499 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.499 * [taylor]: Taking taylor expansion of 1.0 in N 0.499 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.499 * [taylor]: Taking taylor expansion of N in N 0.501 * * * [progress]: simplifying candidates 0.501 * [simplify]: Simplifying using # : (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (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) 0.505 * * [simplify]: iteration 0 : 221 enodes (cost 370 ) 0.509 * * [simplify]: iteration 1 : 736 enodes (cost 343 ) 0.520 * * [simplify]: iteration 2 : 3220 enodes (cost 333 ) 0.589 * * [simplify]: iteration 3 : 5002 enodes (cost 333 ) 0.592 * [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) 0.592 * * * [progress]: adding candidates to table 0.663 * [progress]: [Phase 3 of 3] Extracting. 0.663 * * [regime]: Finding splitpoints for: (# # #) 0.663 * * * [regime-changes]: Trying 1 branch expressions: (N) 0.663 * * * * [regimes]: Trying to branch on N from (# # #) 0.693 * * * [regime]: Found split indices: #