19.174 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.048 * * * [progress]: [2/2] Setting up program. 0.051 * [progress]: [Phase 2 of 3] Improving. 0.051 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.053 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.054 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.055 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.055 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.055 * * [progress]: iteration 1 / 4 0.055 * * * [progress]: picking best candidate 0.058 * * * * [pick]: Picked # 0.058 * * * [progress]: localizing error 0.064 * * * [progress]: generating rewritten candidates 0.064 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.068 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.075 * * * [progress]: generating series expansions 0.075 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.075 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.075 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.075 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.076 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.076 * [taylor]: Taking taylor expansion of N in N 0.076 * [taylor]: Taking taylor expansion of 1.0 in N 0.089 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.089 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.089 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.089 * [taylor]: Taking taylor expansion of N in N 0.089 * [taylor]: Taking taylor expansion of 1.0 in N 0.090 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.090 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.090 * [taylor]: Taking taylor expansion of N in N 0.090 * [taylor]: Taking taylor expansion of 1.0 in N 0.107 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.107 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.107 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.107 * [taylor]: Taking taylor expansion of 1.0 in N 0.107 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.107 * [taylor]: Taking taylor expansion of N in N 0.108 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.108 * [taylor]: Taking taylor expansion of 1.0 in N 0.108 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.108 * [taylor]: Taking taylor expansion of N in N 0.122 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.122 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.122 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.122 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.122 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.122 * [taylor]: Taking taylor expansion of N in N 0.122 * [taylor]: Taking taylor expansion of 1.0 in N 0.123 * [taylor]: Taking taylor expansion of (log N) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.123 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.123 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.123 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.123 * [taylor]: Taking taylor expansion of 1.0 in N 0.124 * [taylor]: Taking taylor expansion of (log N) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.142 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.142 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.142 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.142 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.142 * [taylor]: Taking taylor expansion of N in N 0.143 * [taylor]: Taking taylor expansion of 1.0 in N 0.143 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.143 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.143 * [taylor]: Taking taylor expansion of N in N 0.144 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.144 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.144 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.144 * [taylor]: Taking taylor expansion of N in N 0.144 * [taylor]: Taking taylor expansion of 1.0 in N 0.144 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.144 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.144 * [taylor]: Taking taylor expansion of N in N 0.171 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.171 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.171 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.172 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.172 * [taylor]: Taking taylor expansion of 1.0 in N 0.172 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.172 * [taylor]: Taking taylor expansion of N in N 0.173 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.173 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.173 * [taylor]: Taking taylor expansion of -1 in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.173 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.173 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.173 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.173 * [taylor]: Taking taylor expansion of 1.0 in N 0.173 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.174 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.174 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.174 * [taylor]: Taking taylor expansion of -1 in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.210 * * * [progress]: simplifying candidates 0.211 * [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)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.5 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.5 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.214 * * [simplify]: iteration 0 : 210 enodes (cost 281 ) 0.218 * * [simplify]: iteration 1 : 539 enodes (cost 264 ) 0.226 * * [simplify]: iteration 2 : 1835 enodes (cost 250 ) 0.261 * * [simplify]: iteration 3 : 5002 enodes (cost 247 ) 0.263 * [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) (- (/ (/ 0.5 N) N) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.5 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.5 N) 0.5)) (/ 1.0 N)) 0.263 * * * [progress]: adding candidates to table 0.389 * * [progress]: iteration 2 / 4 0.389 * * * [progress]: picking best candidate 0.397 * * * * [pick]: Picked # 0.397 * * * [progress]: localizing error 0.402 * * * [progress]: generating rewritten candidates 0.402 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.406 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.413 * * * [progress]: generating series expansions 0.413 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.413 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.413 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.414 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.414 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.414 * [taylor]: Taking taylor expansion of N in N 0.414 * [taylor]: Taking taylor expansion of 1.0 in N 0.414 * [taylor]: Taking taylor expansion of N in N 0.415 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.415 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.415 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.415 * [taylor]: Taking taylor expansion of N in N 0.415 * [taylor]: Taking taylor expansion of 1.0 in N 0.415 * [taylor]: Taking taylor expansion of N in N 0.429 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.429 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.429 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.429 * [taylor]: Taking taylor expansion of N in N 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.429 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.429 * [taylor]: Taking taylor expansion of N in N 0.430 * [taylor]: Taking taylor expansion of 1.0 in N 0.432 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.432 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.432 * [taylor]: Taking taylor expansion of N in N 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.432 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.432 * [taylor]: Taking taylor expansion of N in N 0.432 * [taylor]: Taking taylor expansion of 1.0 in N 0.457 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.457 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.457 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.457 * [taylor]: Taking taylor expansion of -1 in N 0.457 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.457 * [taylor]: Taking taylor expansion of N in N 0.457 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.457 * [taylor]: Taking taylor expansion of 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 0.461 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.461 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.461 * [taylor]: Taking taylor expansion of -1 in N 0.461 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.461 * [taylor]: Taking taylor expansion of N in N 0.461 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.461 * [taylor]: Taking taylor expansion of 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 0.498 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.498 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.498 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.498 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.498 * [taylor]: Taking taylor expansion of N in N 0.498 * [taylor]: Taking taylor expansion of 1.0 in N 0.498 * [taylor]: Taking taylor expansion of N in N 0.498 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.498 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.498 * [taylor]: Taking taylor expansion of N in N 0.499 * [taylor]: Taking taylor expansion of 1.0 in N 0.499 * [taylor]: Taking taylor expansion of N in N 0.505 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.505 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.505 * [taylor]: Taking taylor expansion of N in N 0.505 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.505 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.505 * [taylor]: Taking taylor expansion of N in N 0.505 * [taylor]: Taking taylor expansion of 1.0 in N 0.505 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.505 * [taylor]: Taking taylor expansion of N in N 0.505 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.505 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.505 * [taylor]: Taking taylor expansion of N in N 0.506 * [taylor]: Taking taylor expansion of 1.0 in N 0.519 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.519 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.519 * [taylor]: Taking taylor expansion of -1 in N 0.519 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.519 * [taylor]: Taking taylor expansion of N in N 0.519 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.519 * [taylor]: Taking taylor expansion of 1.0 in N 0.519 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.519 * [taylor]: Taking taylor expansion of N in N 0.520 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.520 * [taylor]: Taking taylor expansion of -1 in N 0.520 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.520 * [taylor]: Taking taylor expansion of N in N 0.520 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.520 * [taylor]: Taking taylor expansion of 1.0 in N 0.520 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.520 * [taylor]: Taking taylor expansion of N in N 0.544 * * * [progress]: simplifying candidates 0.545 * [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))) (- (+ (* 0.5 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.549 * * [simplify]: iteration 0 : 241 enodes (cost 373 ) 0.553 * * [simplify]: iteration 1 : 799 enodes (cost 351 ) 0.567 * * [simplify]: iteration 2 : 3617 enodes (cost 339 ) 0.648 * * [simplify]: iteration 3 : 5001 enodes (cost 339 ) 0.650 * [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 (pow N 2)) (- (/ 0.5 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.16666666666666666 N) 0.5)) (/ 1.0 N)) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.651 * * * [progress]: adding candidates to table 0.794 * * [progress]: iteration 3 / 4 0.794 * * * [progress]: picking best candidate 0.802 * * * * [pick]: Picked # 0.802 * * * [progress]: localizing error 0.810 * * * [progress]: generating rewritten candidates 0.810 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.814 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.818 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.825 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.833 * * * [progress]: generating series expansions 0.833 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.833 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.833 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.833 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.833 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.833 * [taylor]: Taking taylor expansion of N in N 0.833 * [taylor]: Taking taylor expansion of 1.0 in N 0.833 * [taylor]: Taking taylor expansion of N in N 0.834 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.834 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.834 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.834 * [taylor]: Taking taylor expansion of N in N 0.834 * [taylor]: Taking taylor expansion of 1.0 in N 0.834 * [taylor]: Taking taylor expansion of N in N 0.848 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.848 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.848 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.848 * [taylor]: Taking taylor expansion of N in N 0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.848 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.848 * [taylor]: Taking taylor expansion of N in N 0.849 * [taylor]: Taking taylor expansion of 1.0 in N 0.851 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.851 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.851 * [taylor]: Taking taylor expansion of N in N 0.851 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.851 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.851 * [taylor]: Taking taylor expansion of N in N 0.851 * [taylor]: Taking taylor expansion of 1.0 in N 0.875 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.875 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.875 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.876 * [taylor]: Taking taylor expansion of -1 in N 0.876 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.876 * [taylor]: Taking taylor expansion of N in N 0.876 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.876 * [taylor]: Taking taylor expansion of 1.0 in N 0.876 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.876 * [taylor]: Taking taylor expansion of N in N 0.879 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.879 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.879 * [taylor]: Taking taylor expansion of -1 in N 0.879 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.879 * [taylor]: Taking taylor expansion of N in N 0.879 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.879 * [taylor]: Taking taylor expansion of 1.0 in N 0.879 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.879 * [taylor]: Taking taylor expansion of N in N 0.916 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.916 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.916 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.916 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.916 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.916 * [taylor]: Taking taylor expansion of N in N 0.916 * [taylor]: Taking taylor expansion of 1.0 in N 0.916 * [taylor]: Taking taylor expansion of N in N 0.917 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.917 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.917 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.917 * [taylor]: Taking taylor expansion of N in N 0.917 * [taylor]: Taking taylor expansion of 1.0 in N 0.917 * [taylor]: Taking taylor expansion of N in N 0.931 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.931 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.931 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.931 * [taylor]: Taking taylor expansion of N in N 0.931 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.931 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.931 * [taylor]: Taking taylor expansion of N in N 0.932 * [taylor]: Taking taylor expansion of 1.0 in N 0.933 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.933 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.933 * [taylor]: Taking taylor expansion of N in N 0.933 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.933 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.933 * [taylor]: Taking taylor expansion of N in N 0.934 * [taylor]: Taking taylor expansion of 1.0 in N 0.958 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.958 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.959 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.959 * [taylor]: Taking taylor expansion of -1 in N 0.959 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.959 * [taylor]: Taking taylor expansion of N in N 0.959 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.959 * [taylor]: Taking taylor expansion of 1.0 in N 0.959 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.959 * [taylor]: Taking taylor expansion of N in N 0.962 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.962 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.962 * [taylor]: Taking taylor expansion of -1 in N 0.962 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.962 * [taylor]: Taking taylor expansion of N in N 0.962 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.962 * [taylor]: Taking taylor expansion of 1.0 in N 0.962 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.962 * [taylor]: Taking taylor expansion of N in N 1.000 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.000 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.000 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.000 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.000 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.000 * [taylor]: Taking taylor expansion of N in N 1.000 * [taylor]: Taking taylor expansion of 1.0 in N 1.000 * [taylor]: Taking taylor expansion of N in N 1.001 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.001 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.001 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.001 * [taylor]: Taking taylor expansion of N in N 1.001 * [taylor]: Taking taylor expansion of 1.0 in N 1.001 * [taylor]: Taking taylor expansion of N in N 1.015 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.015 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.015 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.015 * [taylor]: Taking taylor expansion of N in N 1.015 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.015 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.015 * [taylor]: Taking taylor expansion of N in N 1.015 * [taylor]: Taking taylor expansion of 1.0 in N 1.017 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.017 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.017 * [taylor]: Taking taylor expansion of N in N 1.017 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.017 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.017 * [taylor]: Taking taylor expansion of N in N 1.017 * [taylor]: Taking taylor expansion of 1.0 in N 1.041 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.041 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.041 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.041 * [taylor]: Taking taylor expansion of -1 in N 1.041 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.041 * [taylor]: Taking taylor expansion of N in N 1.041 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.041 * [taylor]: Taking taylor expansion of 1.0 in N 1.041 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.041 * [taylor]: Taking taylor expansion of N in N 1.044 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.044 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.044 * [taylor]: Taking taylor expansion of -1 in N 1.044 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.044 * [taylor]: Taking taylor expansion of N in N 1.045 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.045 * [taylor]: Taking taylor expansion of 1.0 in N 1.045 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.045 * [taylor]: Taking taylor expansion of N in N 1.227 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.227 * [approximate]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in (N) around 0 1.227 * [taylor]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in N 1.227 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.227 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.227 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.227 * [taylor]: Taking taylor expansion of N in N 1.227 * [taylor]: Taking taylor expansion of 1.0 in N 1.227 * [taylor]: Taking taylor expansion of N in N 1.235 * [taylor]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in N 1.235 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.235 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.235 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.235 * [taylor]: Taking taylor expansion of N in N 1.235 * [taylor]: Taking taylor expansion of 1.0 in N 1.235 * [taylor]: Taking taylor expansion of N in N 1.255 * [approximate]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.255 * [taylor]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in N 1.255 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.255 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.255 * [taylor]: Taking taylor expansion of N in N 1.255 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.255 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.255 * [taylor]: Taking taylor expansion of N in N 1.255 * [taylor]: Taking taylor expansion of 1.0 in N 1.264 * [taylor]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in N 1.264 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.264 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.264 * [taylor]: Taking taylor expansion of N in N 1.264 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.264 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.264 * [taylor]: Taking taylor expansion of N in N 1.265 * [taylor]: Taking taylor expansion of 1.0 in N 1.313 * [approximate]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 1.313 * [taylor]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.313 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.313 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.313 * [taylor]: Taking taylor expansion of -1 in N 1.313 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.313 * [taylor]: Taking taylor expansion of N in N 1.313 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.313 * [taylor]: Taking taylor expansion of 1.0 in N 1.313 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.313 * [taylor]: Taking taylor expansion of N in N 1.325 * [taylor]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.325 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.325 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.325 * [taylor]: Taking taylor expansion of -1 in N 1.325 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.325 * [taylor]: Taking taylor expansion of N in N 1.325 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.325 * [taylor]: Taking taylor expansion of 1.0 in N 1.325 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.325 * [taylor]: Taking taylor expansion of N in N 1.373 * * * [progress]: simplifying candidates 1.375 * [simplify]: Simplifying using # : (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (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) N)) (log (/ (+ N 1.0) N))) (+ 1 1) (+ (log (sqrt (log (/ (+ N 1.0) N)))) (log (sqrt (log (/ (+ N 1.0) N))))) (log (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))))) (exp (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))))) (* (* (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (* (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N))))) (* (cbrt (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))))) (cbrt (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))))) (cbrt (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))))) (* (* (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))))) (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (sqrt (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))))) (sqrt (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))))) (* (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (sqrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))))) (* (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* 1 1) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (log (/ (+ N 1.0) N))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt 1)) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt 1)) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (log (/ (+ N 1.0) N))) 1) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (log (sqrt (log (/ (+ N 1.0) N)))) (exp (sqrt (log (/ (+ N 1.0) N)))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (cbrt (sqrt (log (/ (+ N 1.0) N)))) (* (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (sqrt 1) (sqrt (log (/ (+ N 1.0) N))) (sqrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt 1) (sqrt (log (/ (+ N 1.0) N))) (/ 1 2) (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.5 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.5 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.5 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (sqrt (- (log 1.0) (log N))) (* 0.5 (* N (sqrt (/ 1 (- (log 1.0) (log N))))))) (+ (* 1/4 (* (/ (pow N 2) (pow 1.0 2)) (sqrt (/ 1 (- (log 1.0) (log N)))))) (* 0.125 (* (pow N 2) (sqrt (/ 1 (pow (- (log 1.0) (log N)) 3))))))) (- (+ (/ (pow NAN 3) (pow N 2)) (+ (* 0.5 (/ NAN (pow N 2))) (+ (* 0.5 (/ NAN (pow N 3))) (/ NAN N)))) (+ (* 2 (/ (pow NAN 5) (pow N 3))) (* 1.0 (/ (pow NAN 3) (pow N 3))))) (- (+ (/ (pow NAN 3) (pow N 2)) (* 0.5 (/ NAN (pow N 2)))) (+ (/ NAN N) (+ (* 0.16666666666666666 (/ NAN (pow N 3))) (+ (* 2 (/ (pow NAN 5) (pow N 3))) (* 1.0 (/ (pow NAN 3) (pow N 3))))))) 1.387 * * [simplify]: iteration 0 : 370 enodes (cost 915 ) 1.394 * * [simplify]: iteration 1 : 1517 enodes (cost 838 ) 1.423 * * [simplify]: iteration 2 : 5002 enodes (cost 798 ) 1.428 * [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))) (* 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))) 1 1 2 1 1 (pow (sqrt (log (/ (+ N 1.0) N))) 4) (log (/ (+ N 1.0) N)) (pow (sqrt (log (/ (+ N 1.0) N))) 4) 2 (log (log (/ (+ N 1.0) N))) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (pow (log (/ (+ N 1.0) N)) 3) (* (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) (pow (sqrt (log (/ (+ N 1.0) N))) 4) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (pow (cbrt (sqrt (log (/ (+ N 1.0) N)))) 4) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) 1 (log (/ (+ N 1.0) N)) 1 (log (/ (+ N 1.0) N)) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) 1 (log (/ (+ N 1.0) N)) 1 (log (/ (+ N 1.0) N)) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) 1 (log (/ (+ N 1.0) N)) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) 1 2 1 (* (sqrt (log (/ (+ N 1.0) N))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))))) (sqrt (log (/ (+ N 1.0) N))) (* (fabs (cbrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (pow (sqrt (sqrt (log (/ (+ N 1.0) N)))) 3) (sqrt (log (/ (+ N 1.0) N))) (pow (sqrt (sqrt (log (/ (+ N 1.0) N)))) 3) (sqrt (log (/ (+ N 1.0) N))) (pow (cbrt (sqrt (log (/ (+ N 1.0) N)))) 4) (log (/ (+ N 1.0) N)) (* (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (pow (sqrt (sqrt (log (/ (+ N 1.0) N)))) 3) (log (/ (+ N 1.0) N)) (pow (sqrt (sqrt (log (/ (+ N 1.0) N)))) 3) (log (/ (+ N 1.0) N)) (log (sqrt (log (/ (+ N 1.0) N)))) (exp (sqrt (log (/ (+ N 1.0) N)))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (cbrt (sqrt (log (/ (+ N 1.0) N)))) (pow (sqrt (log (/ (+ N 1.0) N))) 3) 1 (sqrt (log (/ (+ N 1.0) N))) (fabs (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N)))) 1 (sqrt (log (/ (+ N 1.0) N))) 1/2 (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (+ (/ (neg 0.5) (pow N 2)) (/ 1.0 N)) (* 0.5 (/ 1 (pow N 3)))) (+ (+ (/ (neg 0.5) (pow N 2)) (/ 1.0 N)) (* 0.16666666666666666 (/ 1 (pow N 3)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (+ (/ (neg 0.5) (pow N 2)) (/ 1.0 N)) (* 0.5 (/ 1 (pow N 3)))) (+ (+ (/ (neg 0.5) (pow N 2)) (/ 1.0 N)) (* 0.16666666666666666 (/ 1 (pow N 3)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (+ (/ (neg 0.5) (pow N 2)) (/ 1.0 N)) (* 0.5 (/ 1 (pow N 3)))) (+ (+ (/ (neg 0.5) (pow N 2)) (/ 1.0 N)) (* 0.16666666666666666 (/ 1 (pow N 3)))) (+ (sqrt (- (log 1.0) (log N))) (+ (* (sqrt (/ 1 (- (log 1.0) (log N)))) (- (* 0.5 N) (* 1/4 (/ (pow N 2) (pow 1.0 2))))) (neg (* 0.125 (* (pow N 2) (sqrt (/ 1 (pow (- (log 1.0) (log N)) 3)))))))) (+ (* (/ NAN (pow N 2)) (+ 0.5 (/ 0.5 N))) (+ (/ NAN N) (- (/ (pow NAN 3) (pow N 2)) (+ (* 2 (/ (pow NAN 5) (pow N 3))) (* 1.0 (/ (pow NAN 3) (pow N 3))))))) (- (+ (/ (pow NAN 3) (pow N 2)) (* 0.5 (/ NAN (pow N 2)))) (+ (/ NAN N) (+ (* 0.16666666666666666 (/ NAN (pow N 3))) (+ (* 2 (/ (pow NAN 5) (pow N 3))) (* 1.0 (/ (pow NAN 3) (pow N 3))))))) 1.429 * * * [progress]: adding candidates to table 1.733 * * [progress]: iteration 4 / 4 1.733 * * * [progress]: picking best candidate 1.750 * * * * [pick]: Picked # 1.750 * * * [progress]: localizing error 1.761 * * * [progress]: generating rewritten candidates 1.762 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 1.766 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.770 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.773 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.778 * * * [progress]: generating series expansions 1.778 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 1.778 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.778 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.779 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.779 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.779 * [taylor]: Taking taylor expansion of N in N 1.779 * [taylor]: Taking taylor expansion of 1.0 in N 1.779 * [taylor]: Taking taylor expansion of N in N 1.780 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.780 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.780 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.780 * [taylor]: Taking taylor expansion of N in N 1.780 * [taylor]: Taking taylor expansion of 1.0 in N 1.780 * [taylor]: Taking taylor expansion of N in N 1.794 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.794 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.794 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.794 * [taylor]: Taking taylor expansion of N in N 1.794 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.794 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.794 * [taylor]: Taking taylor expansion of N in N 1.794 * [taylor]: Taking taylor expansion of 1.0 in N 1.796 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.796 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.796 * [taylor]: Taking taylor expansion of N in N 1.796 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.796 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.796 * [taylor]: Taking taylor expansion of N in N 1.797 * [taylor]: Taking taylor expansion of 1.0 in N 1.821 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.821 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.821 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.821 * [taylor]: Taking taylor expansion of -1 in N 1.821 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.821 * [taylor]: Taking taylor expansion of N in N 1.821 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.821 * [taylor]: Taking taylor expansion of 1.0 in N 1.821 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.821 * [taylor]: Taking taylor expansion of N in N 1.824 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.824 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.824 * [taylor]: Taking taylor expansion of -1 in N 1.824 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.824 * [taylor]: Taking taylor expansion of N in N 1.824 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.824 * [taylor]: Taking taylor expansion of 1.0 in N 1.824 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.825 * [taylor]: Taking taylor expansion of N in N 1.861 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.862 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.862 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.862 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.862 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.862 * [taylor]: Taking taylor expansion of N in N 1.862 * [taylor]: Taking taylor expansion of 1.0 in N 1.862 * [taylor]: Taking taylor expansion of N in N 1.863 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.863 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.863 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.863 * [taylor]: Taking taylor expansion of N in N 1.863 * [taylor]: Taking taylor expansion of 1.0 in N 1.863 * [taylor]: Taking taylor expansion of N in N 1.876 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.876 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.876 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.876 * [taylor]: Taking taylor expansion of N in N 1.876 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.876 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.876 * [taylor]: Taking taylor expansion of N in N 1.876 * [taylor]: Taking taylor expansion of 1.0 in N 1.878 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.878 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.878 * [taylor]: Taking taylor expansion of N in N 1.878 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.878 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.878 * [taylor]: Taking taylor expansion of N in N 1.879 * [taylor]: Taking taylor expansion of 1.0 in N 1.903 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.903 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.903 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.903 * [taylor]: Taking taylor expansion of -1 in N 1.903 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.903 * [taylor]: Taking taylor expansion of N in N 1.903 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.903 * [taylor]: Taking taylor expansion of 1.0 in N 1.903 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.903 * [taylor]: Taking taylor expansion of N in N 1.907 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.907 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.907 * [taylor]: Taking taylor expansion of -1 in N 1.907 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.907 * [taylor]: Taking taylor expansion of N in N 1.907 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.907 * [taylor]: Taking taylor expansion of 1.0 in N 1.907 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.907 * [taylor]: Taking taylor expansion of N in N 1.944 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.944 * [approximate]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in (N) around 0 1.944 * [taylor]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in N 1.944 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.944 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.944 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.944 * [taylor]: Taking taylor expansion of N in N 1.944 * [taylor]: Taking taylor expansion of 1.0 in N 1.944 * [taylor]: Taking taylor expansion of N in N 1.951 * [taylor]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in N 1.951 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.951 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.951 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.951 * [taylor]: Taking taylor expansion of N in N 1.951 * [taylor]: Taking taylor expansion of 1.0 in N 1.951 * [taylor]: Taking taylor expansion of N in N 1.971 * [approximate]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.971 * [taylor]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in N 1.971 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.971 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.971 * [taylor]: Taking taylor expansion of N in N 1.971 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.971 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.971 * [taylor]: Taking taylor expansion of N in N 1.972 * [taylor]: Taking taylor expansion of 1.0 in N 1.981 * [taylor]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in N 1.981 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.981 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.981 * [taylor]: Taking taylor expansion of N in N 1.981 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.981 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.981 * [taylor]: Taking taylor expansion of N in N 1.981 * [taylor]: Taking taylor expansion of 1.0 in N 2.030 * [approximate]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 2.030 * [taylor]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 2.030 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.030 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.030 * [taylor]: Taking taylor expansion of -1 in N 2.030 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.030 * [taylor]: Taking taylor expansion of N in N 2.030 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.030 * [taylor]: Taking taylor expansion of 1.0 in N 2.030 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.030 * [taylor]: Taking taylor expansion of N in N 2.043 * [taylor]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 2.043 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.043 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.043 * [taylor]: Taking taylor expansion of -1 in N 2.043 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.043 * [taylor]: Taking taylor expansion of N in N 2.043 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.043 * [taylor]: Taking taylor expansion of 1.0 in N 2.043 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.043 * [taylor]: Taking taylor expansion of N in N 2.100 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.100 * [approximate]: Taking taylor expansion of (exp (sqrt (log (/ (+ N 1.0) N)))) in (N) around 0 2.100 * [taylor]: Taking taylor expansion of (exp (sqrt (log (/ (+ N 1.0) N)))) in N 2.100 * [taylor]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in N 2.100 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.100 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.100 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.100 * [taylor]: Taking taylor expansion of N in N 2.100 * [taylor]: Taking taylor expansion of 1.0 in N 2.100 * [taylor]: Taking taylor expansion of N in N 2.108 * [taylor]: Taking taylor expansion of (exp (sqrt (log (/ (+ N 1.0) N)))) in N 2.108 * [taylor]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in N 2.108 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.108 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.108 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.108 * [taylor]: Taking taylor expansion of N in N 2.108 * [taylor]: Taking taylor expansion of 1.0 in N 2.108 * [taylor]: Taking taylor expansion of N in N 2.134 * [approximate]: Taking taylor expansion of (exp (sqrt (log (* N (+ (/ 1 N) 1.0))))) in (N) around 0 2.134 * [taylor]: Taking taylor expansion of (exp (sqrt (log (* N (+ (/ 1 N) 1.0))))) in N 2.134 * [taylor]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in N 2.134 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.134 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.134 * [taylor]: Taking taylor expansion of N in N 2.134 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.134 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.134 * [taylor]: Taking taylor expansion of N in N 2.135 * [taylor]: Taking taylor expansion of 1.0 in N 2.144 * [taylor]: Taking taylor expansion of (exp (sqrt (log (* N (+ (/ 1 N) 1.0))))) in N 2.144 * [taylor]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in N 2.144 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.144 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.144 * [taylor]: Taking taylor expansion of N in N 2.144 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.144 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.144 * [taylor]: Taking taylor expansion of N in N 2.144 * [taylor]: Taking taylor expansion of 1.0 in N 2.184 * [approximate]: Taking taylor expansion of (exp (sqrt (log (* -1 (* N (- 1.0 (/ 1 N))))))) in (N) around 0 2.184 * [taylor]: Taking taylor expansion of (exp (sqrt (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 2.184 * [taylor]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 2.184 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.184 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.184 * [taylor]: Taking taylor expansion of -1 in N 2.184 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.184 * [taylor]: Taking taylor expansion of N in N 2.184 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.184 * [taylor]: Taking taylor expansion of 1.0 in N 2.184 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.184 * [taylor]: Taking taylor expansion of N in N 2.196 * [taylor]: Taking taylor expansion of (exp (sqrt (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 2.196 * [taylor]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 2.196 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.196 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.196 * [taylor]: Taking taylor expansion of -1 in N 2.196 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.196 * [taylor]: Taking taylor expansion of N in N 2.196 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.196 * [taylor]: Taking taylor expansion of 1.0 in N 2.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.196 * [taylor]: Taking taylor expansion of N in N 2.234 * * * [progress]: simplifying candidates 2.236 * [simplify]: Simplifying using # : (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (* (cbrt (exp (sqrt (log (/ (+ N 1.0) N))))) (cbrt (exp (sqrt (log (/ (+ N 1.0) N))))))) (log (cbrt (exp (sqrt (log (/ (+ N 1.0) N)))))) (log (sqrt (exp (sqrt (log (/ (+ N 1.0) N)))))) (log (sqrt (exp (sqrt (log (/ (+ N 1.0) N)))))) (log 1) (log (exp (sqrt (log (/ (+ N 1.0) N))))) (log (exp (sqrt (log (/ (+ N 1.0) N))))) (log (exp (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))))) (log (exp (sqrt 1))) (log (exp (sqrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))))) (log (exp (sqrt (sqrt (log (/ (+ N 1.0) N)))))) (log (exp (sqrt 1))) (log (exp (sqrt (sqrt (log (/ (+ N 1.0) N)))))) (log (exp 1)) (log (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (exp (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (* (cbrt (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (cbrt (log (exp (sqrt (log (/ (+ N 1.0) N))))))) (cbrt (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (* (* (log (exp (sqrt (log (/ (+ N 1.0) N))))) (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (sqrt (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (sqrt (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (exp (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))))) (exp (sqrt 1)) (exp (sqrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))))) (exp (sqrt (sqrt (log (/ (+ N 1.0) N))))) (exp (sqrt 1)) (exp (sqrt (sqrt (log (/ (+ N 1.0) N))))) (exp 1) (log (exp (sqrt (log (/ (+ N 1.0) N))))) (exp (exp (sqrt (log (/ (+ N 1.0) N))))) (* (cbrt (exp (sqrt (log (/ (+ N 1.0) N))))) (cbrt (exp (sqrt (log (/ (+ N 1.0) N)))))) (cbrt (exp (sqrt (log (/ (+ N 1.0) N))))) (* (* (exp (sqrt (log (/ (+ N 1.0) N)))) (exp (sqrt (log (/ (+ N 1.0) N))))) (exp (sqrt (log (/ (+ N 1.0) N))))) (sqrt (exp (sqrt (log (/ (+ N 1.0) N))))) (sqrt (exp (sqrt (log (/ (+ N 1.0) N))))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.5 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.5 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (sqrt (- (log 1.0) (log N))) (* 0.5 (* N (sqrt (/ 1 (- (log 1.0) (log N))))))) (+ (* 1/4 (* (/ (pow N 2) (pow 1.0 2)) (sqrt (/ 1 (- (log 1.0) (log N)))))) (* 0.125 (* (pow N 2) (sqrt (/ 1 (pow (- (log 1.0) (log N)) 3))))))) (- (+ (/ (pow NAN 3) (pow N 2)) (+ (* 0.5 (/ NAN (pow N 2))) (+ (* 0.5 (/ NAN (pow N 3))) (/ NAN N)))) (+ (* 2 (/ (pow NAN 5) (pow N 3))) (* 1.0 (/ (pow NAN 3) (pow N 3))))) (- (+ (/ (pow NAN 3) (pow N 2)) (* 0.5 (/ NAN (pow N 2)))) (+ (/ NAN N) (+ (* 0.16666666666666666 (/ NAN (pow N 3))) (+ (* 2 (/ (pow NAN 5) (pow N 3))) (* 1.0 (/ (pow NAN 3) (pow N 3))))))) (- (+ (* 0.5 (* (* N (exp (sqrt (- (log 1.0) (log N))))) (sqrt (/ 1 (- (log 1.0) (log N)))))) (+ (* 0.125 (/ (* (pow N 2) (exp (sqrt (- (log 1.0) (log N))))) (- (log 1.0) (log N)))) (exp (sqrt (- (log 1.0) (log N)))))) (+ (* 1/4 (* (/ (* (pow N 2) (exp (sqrt (- (log 1.0) (log N))))) (pow 1.0 2)) (sqrt (/ 1 (- (log 1.0) (log N)))))) (* 0.125 (* (* (pow N 2) (exp (sqrt (- (log 1.0) (log N))))) (sqrt (/ 1 (pow (- (log 1.0) (log N)) 3))))))) (+ (/ (pow NAN 3) (pow N 2)) (+ 1 (+ (* 0.5 (/ NAN (pow N 2))) (+ (/ NAN N) (* 1/2 (/ (pow NAN 2) (pow N 2))))))) (- (+ (/ (pow NAN 3) (pow N 2)) (+ 1 (+ (* 0.5 (/ NAN (pow N 2))) (* 1/2 (/ (pow NAN 2) (pow N 2)))))) (/ NAN N)) 2.241 * * [simplify]: iteration 0 : 423 enodes (cost 816 ) 2.248 * * [simplify]: iteration 1 : 1359 enodes (cost 759 ) 2.271 * * [simplify]: iteration 2 : 5001 enodes (cost 716 ) 2.275 * [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))) (* 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 (/ 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1.0) N)))))) (exp (sqrt (sqrt (log (/ (+ N 1.0) N))))) E (exp (sqrt (sqrt (log (/ (+ N 1.0) N))))) E (sqrt (log (/ (+ N 1.0) N))) (exp (exp (sqrt (log (/ (+ N 1.0) N))))) (* (cbrt (exp (sqrt (log (/ (+ N 1.0) N))))) (cbrt (exp (sqrt (log (/ (+ N 1.0) N)))))) (cbrt (exp (sqrt (log (/ (+ N 1.0) N))))) (pow (exp (sqrt (log (/ (+ N 1.0) N)))) 3) (sqrt (exp (sqrt (log (/ (+ N 1.0) N))))) (sqrt (exp (sqrt (log (/ (+ N 1.0) N))))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (* 0.5 (/ 1 (pow N 3))))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (* 0.16666666666666666 (/ 1 (pow N 3))))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (* 0.5 (/ 1 (pow N 3))))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (* 0.16666666666666666 (/ 1 (pow N 3))))) (- (* (sqrt (/ 1 (- (log 1.0) (log N)))) (- (* 0.5 N) (* 1/4 (/ (pow N 2) (pow 1.0 2))))) (- (* 0.125 (* (pow N 2) (sqrt (/ 1 (pow (- (log 1.0) (log N)) 3))))) (sqrt (- (log 1.0) (log N))))) (+ (+ (+ (+ (/ (pow NAN 3) (pow N 2)) (/ NAN N)) (* (/ NAN (pow N 2)) (+ 0.5 (/ 0.5 N)))) (* (neg 1.0) (pow (/ NAN N) 3))) (* -2 (/ (pow NAN 5) (pow N 3)))) (- (- (- (* (/ NAN N) (+ (/ 0.5 N) (/ (pow NAN 2) N))) (/ NAN N)) (+ (* 0.16666666666666666 (/ NAN (pow N 3))) (* 1.0 (/ (pow NAN 3) (pow N 3))))) (* 2 (/ (pow NAN 5) (pow N 3)))) (+ (+ (* 0.125 (/ (* (pow N 2) (exp (sqrt (- (log 1.0) (log N))))) (- (log 1.0) (log N)))) (exp (sqrt (- (log 1.0) (log N))))) (+ (* (sqrt (/ 1 (- (log 1.0) (log N)))) (- (* 0.5 (* N (exp (sqrt (- (log 1.0) (log N)))))) (* 1/4 (/ (* (pow N 2) (exp (sqrt (- (log 1.0) (log N))))) (pow 1.0 2))))) (neg (* 0.125 (* (* (pow N 2) (exp (sqrt (- (log 1.0) (log N))))) (sqrt (/ 1 (pow (- (log 1.0) (log N)) 3)))))))) (+ (+ (+ 1 (* 0.5 (/ NAN (pow N 2)))) (/ NAN N)) (* (/ (pow NAN 2) N) (+ (/ 1/2 N) (/ NAN N)))) (- (+ (* 0.5 (/ NAN (pow N 2))) (+ 1 (* (/ (pow NAN 2) N) (+ (/ 1/2 N) (/ NAN N))))) (/ NAN N)) 2.276 * * * [progress]: adding candidates to table 2.609 * [progress]: [Phase 3 of 3] Extracting. 2.609 * * [regime]: Finding splitpoints for: (# # # # #) 2.610 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.610 * * * * [regimes]: Trying to branch on N from (# # # # #) 2.653 * * * [regime]: Found split indices: #