4.972 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.043 * * * [progress]: [2/2] Setting up program. 0.045 * [progress]: [Phase 2 of 3] Improving. 0.045 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.047 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.048 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.049 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.049 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.050 * * [progress]: iteration 1 / 4 0.050 * * * [progress]: picking best candidate 0.051 * * * * [pick]: Picked # 0.051 * * * [progress]: localizing error 0.058 * * * [progress]: generating rewritten candidates 0.058 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.064 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.068 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.068 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.068 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.068 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.068 * [taylor]: Taking taylor expansion of N in N 0.068 * [taylor]: Taking taylor expansion of 1.0 in N 0.068 * [taylor]: Taking taylor expansion of (log N) in N 0.068 * [taylor]: Taking taylor expansion of N in N 0.069 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.069 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.069 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.069 * [taylor]: Taking taylor expansion of N in N 0.069 * [taylor]: Taking taylor expansion of 1.0 in N 0.069 * [taylor]: Taking taylor expansion of (log N) in N 0.069 * [taylor]: Taking taylor expansion of N in N 0.087 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.088 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.088 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.088 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.088 * [taylor]: Taking taylor expansion of N in N 0.088 * [taylor]: Taking taylor expansion of 1.0 in N 0.088 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.088 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.088 * [taylor]: Taking taylor expansion of N in N 0.089 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 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)) in N 0.090 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.090 * [taylor]: Taking taylor expansion of N in N 0.123 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.123 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.123 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.123 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.123 * [taylor]: Taking taylor expansion of 1.0 in N 0.123 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.124 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.124 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.124 * [taylor]: Taking taylor expansion of -1 in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.125 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.125 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.125 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.125 * [taylor]: Taking taylor expansion of 1.0 in N 0.125 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.125 * [taylor]: Taking taylor expansion of N in N 0.126 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.126 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.126 * [taylor]: Taking taylor expansion of -1 in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.159 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.159 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.159 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.159 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.159 * [taylor]: Taking taylor expansion of N in N 0.159 * [taylor]: Taking taylor expansion of 1.0 in N 0.160 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.160 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.160 * [taylor]: Taking taylor expansion of N in N 0.160 * [taylor]: Taking taylor expansion of 1.0 in N 0.171 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.171 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.171 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.171 * [taylor]: Taking taylor expansion of N in N 0.171 * [taylor]: Taking taylor expansion of 1.0 in N 0.172 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 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 0.172 * [taylor]: Taking taylor expansion of 1.0 in N 0.187 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.187 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.187 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.187 * [taylor]: Taking taylor expansion of 1.0 in N 0.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.187 * [taylor]: Taking taylor expansion of N in N 0.188 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.188 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.188 * [taylor]: Taking taylor expansion of 1.0 in N 0.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.188 * [taylor]: Taking taylor expansion of N in N 0.202 * * * [progress]: simplifying candidates 0.202 * [simplify]: Simplifying using # : (/ (+ 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)))) (- (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)) (- (log N)) (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))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 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)))) (- (+ (* 0.3333333333333333 (/ 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)))) (- (* 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)))) 0.206 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.209 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.218 * * [simplify]: iteration 2 : 1875 enodes (cost 250 ) 0.252 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.253 * [simplify]: Simplified to: (/ (+ 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)) (* 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))) (- (+ (* 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 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 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))) 0.254 * * * [progress]: adding candidates to table 0.344 * * [progress]: iteration 2 / 4 0.344 * * * [progress]: picking best candidate 0.346 * * * * [pick]: Picked # 0.346 * * * [progress]: localizing error 0.356 * * * [progress]: generating rewritten candidates 0.356 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.360 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.399 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.425 * * * [progress]: generating series expansions 0.425 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.425 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.425 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.425 * [taylor]: Taking taylor expansion of N in N 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.426 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.426 * [taylor]: Taking taylor expansion of N in N 0.433 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.433 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.433 * [taylor]: Taking taylor expansion of N in N 0.433 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.433 * [taylor]: Taking taylor expansion of N in N 0.437 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.437 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.437 * [taylor]: Taking taylor expansion of N in N 0.437 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.437 * [taylor]: Taking taylor expansion of N in N 0.441 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.441 * [approximate]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in (N) around 0 0.441 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 0.441 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.441 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.441 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.441 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.441 * [taylor]: Taking taylor expansion of N in N 0.441 * [taylor]: Taking taylor expansion of 0.5 in N 0.441 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.441 * [taylor]: Taking taylor expansion of N in N 0.442 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 0.442 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.442 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.442 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.442 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.442 * [taylor]: Taking taylor expansion of N in N 0.443 * [taylor]: Taking taylor expansion of 0.5 in N 0.443 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.443 * [taylor]: Taking taylor expansion of N in N 0.465 * [approximate]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in (N) around 0 0.465 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.465 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.465 * [taylor]: Taking taylor expansion of N in N 0.465 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.465 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.465 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.465 * [taylor]: Taking taylor expansion of N in N 0.465 * [taylor]: Taking taylor expansion of 0.5 in N 0.465 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.466 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.466 * [taylor]: Taking taylor expansion of N in N 0.466 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.466 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.466 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.466 * [taylor]: Taking taylor expansion of N in N 0.466 * [taylor]: Taking taylor expansion of 0.5 in N 0.489 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in (N) around 0 0.489 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 0.489 * [taylor]: Taking taylor expansion of -1 in N 0.489 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 0.489 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.489 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.489 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.489 * [taylor]: Taking taylor expansion of N in N 0.489 * [taylor]: Taking taylor expansion of 0.5 in N 0.489 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.489 * [taylor]: Taking taylor expansion of N in N 0.489 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 0.489 * [taylor]: Taking taylor expansion of -1 in N 0.489 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 0.489 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.489 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.489 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.489 * [taylor]: Taking taylor expansion of N in N 0.489 * [taylor]: Taking taylor expansion of 0.5 in N 0.489 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.489 * [taylor]: Taking taylor expansion of N in N 0.513 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.513 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 0.513 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.513 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.513 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.513 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.513 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.513 * [taylor]: Taking taylor expansion of N in N 0.514 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.514 * [taylor]: Taking taylor expansion of 1.0 in N 0.514 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.514 * [taylor]: Taking taylor expansion of N in N 0.514 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.514 * [taylor]: Taking taylor expansion of 0.5 in N 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.514 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.514 * [taylor]: Taking taylor expansion of N in N 0.515 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 0.515 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 0.515 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 0.515 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 0.515 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.515 * [taylor]: Taking taylor expansion of N in N 0.516 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.516 * [taylor]: Taking taylor expansion of 1.0 in N 0.516 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.516 * [taylor]: Taking taylor expansion of N in N 0.516 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 0.516 * [taylor]: Taking taylor expansion of 0.5 in N 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.516 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.516 * [taylor]: Taking taylor expansion of N in N 0.525 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 0.525 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.525 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.525 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.525 * [taylor]: Taking taylor expansion of 1.0 in N 0.525 * [taylor]: Taking taylor expansion of N in N 0.525 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.525 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.525 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.525 * [taylor]: Taking taylor expansion of N in N 0.525 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.525 * [taylor]: Taking taylor expansion of 0.5 in N 0.525 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.525 * [taylor]: Taking taylor expansion of N in N 0.525 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 0.525 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.525 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.525 * [taylor]: Taking taylor expansion of 1.0 in N 0.525 * [taylor]: Taking taylor expansion of N in N 0.525 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.525 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.525 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.525 * [taylor]: Taking taylor expansion of N in N 0.525 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.525 * [taylor]: Taking taylor expansion of 0.5 in N 0.525 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.525 * [taylor]: Taking taylor expansion of N in N 0.533 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 0.533 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.533 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.533 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.533 * [taylor]: Taking taylor expansion of 0.5 in N 0.533 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.533 * [taylor]: Taking taylor expansion of N in N 0.533 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.533 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.533 * [taylor]: Taking taylor expansion of 1.0 in N 0.533 * [taylor]: Taking taylor expansion of N in N 0.533 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.533 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.533 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.533 * [taylor]: Taking taylor expansion of N in N 0.534 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 0.534 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 0.534 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 0.534 * [taylor]: Taking taylor expansion of 0.5 in N 0.534 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.534 * [taylor]: Taking taylor expansion of N in N 0.534 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 0.534 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.534 * [taylor]: Taking taylor expansion of 1.0 in N 0.534 * [taylor]: Taking taylor expansion of N in N 0.534 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 0.534 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.534 * [taylor]: Taking taylor expansion of (pow N 3) in N 0.534 * [taylor]: Taking taylor expansion of N in N 0.542 * * * [progress]: simplifying candidates 0.544 * [simplify]: Simplifying using # : (- 2) (- (* (log N) 2)) (- (* (log N) 2)) (- (log (pow N 2))) (- 0 (* (log N) 2)) (- 0 (* (log N) 2)) (- 0 (log (pow N 2))) (- (log 1) (* (log N) 2)) (- (log 1) (* (log N) 2)) (- (log 1) (log (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (- 1) (- (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 2)) (/ (cbrt 1) (pow (cbrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 2)) (/ (cbrt 1) (pow (sqrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (cbrt 1) (cbrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 2))) (/ (cbrt 1) (sqrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 2 2))) (/ (cbrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 2)) (/ (sqrt 1) (pow (cbrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (sqrt 1) (cbrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow N (/ 2 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (cbrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N 2)) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N 2)) (/ (pow N 2) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N (/ 2 2))) (/ (pow N 2) (cbrt 1)) (/ (pow N 2) (sqrt 1)) (/ (pow N 2) 1) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (+ (- (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- 0 (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (* (log N) 2)) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (- (log 1) (log (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (+ (log (/ 1 (pow N 2))) (log (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (* (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)) (- (/ 0.3333333333333333 N) 0.5))) (* (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 N) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (sqrt (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N (/ 2 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) (/ 0.3333333333333333 N)) (* (/ 1 (pow N 2)) (- 0.5)) (* (/ 1 (pow N 2)) (/ 0.3333333333333333 N)) (* (/ 1 (pow N 2)) (- 0.5)) (* (/ 0.3333333333333333 N) (/ 1 (pow N 2))) (* (- 0.5) (/ 1 (pow N 2))) (* (/ 0.3333333333333333 N) (/ 1 (pow N 2))) (* (- 0.5) (/ 1 (pow N 2))) (* (/ 1 (pow N 2)) (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5)))) (* (/ 1 (pow N 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1 (pow N 2)) 1) (* (/ 1 (pow N 2)) (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5))) (* (/ 1 (pow N 2)) (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5))) (* (/ 1 (pow N 2)) 1) (* (cbrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (cbrt 1) (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ (sqrt 1) (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow (cbrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow (sqrt N) 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 N) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (cbrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (sqrt (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N (/ 2 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) (* 1 (- (/ 0.3333333333333333 N) 0.5)) (* (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (/ 1.0 N))) (log (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (exp (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (* (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (* (* (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (+ (* (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) 1.0)) (* (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) N) (+ (* (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) 1.0)) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) N) (+ (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) 1.0)) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) N) (+ (* (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (+ (/ 0.3333333333333333 N) 0.5) 1.0)) (* (+ (/ 0.3333333333333333 N) 0.5) N) (+ (* (* 1 (- (/ 0.3333333333333333 N) 0.5)) N) (* (pow N 2) 1.0)) (* (pow N 2) N) (+ (pow (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) 3) (pow (/ 1.0 N) 3)) (+ (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (- (* (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (* (/ 1.0 N) (/ 1.0 N))) (- (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- 0.5)) (/ 1.0 N)) (+ (* (- 0.5) (/ 1 (pow N 2))) (/ 1.0 N)) (+ (* (- 0.5) (/ 1 (pow N 2))) (/ 1.0 N)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.552 * * [simplify]: iteration 0 : 583 enodes (cost 1087 ) 0.563 * * [simplify]: iteration 1 : 2726 enodes (cost 904 ) 0.607 * * [simplify]: iteration 2 : 5001 enodes (cost 841 ) 0.615 * [simplify]: Simplified to: (- 2) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (pow (/ 1 (pow N 2)) 3) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (pow (/ 1 (pow N 2)) 3) (fabs (/ 1 N)) (fabs (/ 1 N)) (- 1) (- (pow N 2)) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow N 2)) (pow N 2) (/ 1 (pow (cbrt N) 4)) (/ 1 N) 1 (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (fabs N)) 1 (/ 1 N) (pow N 2) (pow N 2) (pow N 2) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (log (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (exp (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (pow (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) 3) (pow (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) 3) (* (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)))) (cbrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (pow (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) 3) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (sqrt (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) (* (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N))) (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5)) (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) 1) (fabs N)) (/ (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) 1) (fabs N)) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) 1) (fabs N)) (/ (* (sqrt (- (/ 0.3333333333333333 N) 0.5)) 1) (fabs N)) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ (sqrt (- (/ 0.3333333333333333 N) 0.5)) N) (/ 0.3333333333333333 (pow N 3)) (/ (- 0.5) (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ (- 0.5) (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ (- 0.5) (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ (- 0.5) (pow N 2)) (/ (/ (* (cbrt (- (/ 0.3333333333333333 N) 0.5)) (cbrt (- (/ 0.3333333333333333 N) 0.5))) N) N) (* (/ 1 (pow N 2)) (sqrt (- (/ 0.3333333333333333 N) 0.5))) (/ 1 (pow N 2)) (/ (/ (+ (sqrt (/ 0.3333333333333333 N)) (sqrt 0.5)) N) N) (/ (/ (+ (/ (sqrt 0.3333333333333333) (sqrt N)) (sqrt 0.5)) N) N) (/ 1 (pow N 2)) (* (cbrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (* (sqrt (/ 1 (pow N 2))) (- (/ 0.3333333333333333 N) 0.5)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow (cbrt N) 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow (cbrt N) 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow (cbrt N) 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (cbrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (sqrt (pow N 2))) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3)) (pow N 2)) (/ (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5)) (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (exp (+ (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ 1.0 N))) (log (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (exp (+ (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ 1.0 N))) (* (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (pow (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) 3) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))) (+ (* (* 1 (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (* (pow N 2) (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5)))) 1.0)) (* (pow N 3) (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)))) (+ (* (* 1 (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (* (pow N 2) (+ (/ 0.3333333333333333 N) 0.5)) 1.0)) (* (pow N 3) (+ (/ 0.3333333333333333 N) 0.5)) (+ (* (* (/ 1 (pow N 2)) (- (pow (/ 0.3333333333333333 N) 3) (pow 0.5 3))) N) (* (+ (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (+ (* 0.5 0.5) (* (/ 0.3333333333333333 N) 0.5))) 1.0)) (* N (+ (* 0.5 (+ 0.5 (/ 0.3333333333333333 N))) (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)))) (+ (* (* (/ 1 (pow N 2)) (- (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (* 0.5 0.5))) N) (* (+ (/ 0.3333333333333333 N) 0.5) 1.0)) (* (+ (/ 0.3333333333333333 N) 0.5) N) (+ (* (* 1 (- (/ 0.3333333333333333 N) 0.5)) N) (* (pow N 2) 1.0)) (pow N 3) (+ (pow (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) 3) (pow (/ 1.0 N) 3)) (- (* (/ 1.0 N) (/ 1.0 N)) (- (* (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) (* (/ 1 (pow N 4)) (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5))))) (+ (- (* (/ 1.0 N) (/ 1.0 N))) (* (/ 1 (pow N 4)) (* (- (/ 0.3333333333333333 N) 0.5) (- (/ 0.3333333333333333 N) 0.5)))) (- (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2)) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) (+ (/ 1.0 N) (/ (- (/ 0.3333333333333333 N) 0.5) (pow N 2))) 0.616 * * * [progress]: adding candidates to table 0.857 * * [progress]: iteration 3 / 4 0.857 * * * [progress]: picking best candidate 0.862 * * * * [pick]: Picked # 0.862 * * * [progress]: localizing error 0.867 * * * [progress]: generating rewritten candidates 0.867 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.873 * * * [progress]: generating series expansions 0.873 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.873 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.873 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.873 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.873 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.873 * [taylor]: Taking taylor expansion of N in N 0.873 * [taylor]: Taking taylor expansion of 1.0 in N 0.873 * [taylor]: Taking taylor expansion of N in N 0.874 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.875 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.875 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.875 * [taylor]: Taking taylor expansion of N in N 0.875 * [taylor]: Taking taylor expansion of 1.0 in N 0.875 * [taylor]: Taking taylor expansion of N in N 0.888 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.888 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.888 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.888 * [taylor]: Taking taylor expansion of N in N 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.888 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.888 * [taylor]: Taking taylor expansion of N in N 0.888 * [taylor]: Taking taylor expansion of 1.0 in N 0.890 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.890 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.890 * [taylor]: Taking taylor expansion of N in N 0.890 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.890 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.890 * [taylor]: Taking taylor expansion of N in N 0.890 * [taylor]: Taking taylor expansion of 1.0 in N 0.915 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.915 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.915 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.915 * [taylor]: Taking taylor expansion of -1 in N 0.915 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.915 * [taylor]: Taking taylor expansion of N in N 0.915 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.915 * [taylor]: Taking taylor expansion of 1.0 in N 0.915 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.915 * [taylor]: Taking taylor expansion of N in N 0.918 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.918 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.918 * [taylor]: Taking taylor expansion of -1 in N 0.918 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.918 * [taylor]: Taking taylor expansion of N in N 0.918 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.918 * [taylor]: Taking taylor expansion of 1.0 in N 0.918 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.918 * [taylor]: Taking taylor expansion of N in N 0.954 * * * [progress]: simplifying candidates 0.954 * [simplify]: Simplifying using # : (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 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)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.958 * * [simplify]: iteration 0 : 167 enodes (cost 209 ) 0.961 * * [simplify]: iteration 1 : 455 enodes (cost 196 ) 0.969 * * [simplify]: iteration 2 : 1964 enodes (cost 184 ) 1.011 * * [simplify]: iteration 3 : 5002 enodes (cost 184 ) 1.012 * [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))) (- (+ (* 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 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) 1.012 * * * [progress]: adding candidates to table 1.059 * * [progress]: iteration 4 / 4 1.059 * * * [progress]: picking best candidate 1.065 * * * * [pick]: Picked # 1.065 * * * [progress]: localizing error 1.072 * * * [progress]: generating rewritten candidates 1.072 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.076 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.077 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 1.080 * * * [progress]: generating series expansions 1.080 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.080 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.080 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.080 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.080 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.080 * [taylor]: Taking taylor expansion of N in N 1.080 * [taylor]: Taking taylor expansion of 1.0 in N 1.080 * [taylor]: Taking taylor expansion of N in N 1.081 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.081 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.081 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.081 * [taylor]: Taking taylor expansion of N in N 1.081 * [taylor]: Taking taylor expansion of 1.0 in N 1.081 * [taylor]: Taking taylor expansion of N in N 1.094 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.094 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.094 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.094 * [taylor]: Taking taylor expansion of N in N 1.094 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.094 * [taylor]: Taking taylor expansion of N in N 1.094 * [taylor]: Taking taylor expansion of 1.0 in N 1.096 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.096 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.096 * [taylor]: Taking taylor expansion of N in N 1.096 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.096 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.096 * [taylor]: Taking taylor expansion of N in N 1.096 * [taylor]: Taking taylor expansion of 1.0 in N 1.121 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.121 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.121 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.121 * [taylor]: Taking taylor expansion of -1 in N 1.121 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.121 * [taylor]: Taking taylor expansion of N in N 1.121 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.121 * [taylor]: Taking taylor expansion of 1.0 in N 1.121 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.121 * [taylor]: Taking taylor expansion of N in N 1.124 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.124 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.124 * [taylor]: Taking taylor expansion of -1 in N 1.124 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.125 * [taylor]: Taking taylor expansion of N in N 1.125 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.125 * [taylor]: Taking taylor expansion of 1.0 in N 1.125 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.125 * [taylor]: Taking taylor expansion of N in N 1.161 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.162 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.162 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.162 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.162 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.162 * [taylor]: Taking taylor expansion of N in N 1.162 * [taylor]: Taking taylor expansion of 1.0 in N 1.162 * [taylor]: Taking taylor expansion of N in N 1.163 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.163 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.163 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.163 * [taylor]: Taking taylor expansion of N in N 1.163 * [taylor]: Taking taylor expansion of 1.0 in N 1.163 * [taylor]: Taking taylor expansion of N in N 1.176 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.176 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.176 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.176 * [taylor]: Taking taylor expansion of N in N 1.176 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.176 * [taylor]: Taking taylor expansion of N in N 1.176 * [taylor]: Taking taylor expansion of 1.0 in N 1.178 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.178 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.178 * [taylor]: Taking taylor expansion of N in N 1.178 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.178 * [taylor]: Taking taylor expansion of N in N 1.179 * [taylor]: Taking taylor expansion of 1.0 in N 1.204 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.204 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.204 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.204 * [taylor]: Taking taylor expansion of -1 in N 1.204 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.204 * [taylor]: Taking taylor expansion of N in N 1.204 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.204 * [taylor]: Taking taylor expansion of 1.0 in N 1.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.204 * [taylor]: Taking taylor expansion of N in N 1.207 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.207 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.207 * [taylor]: Taking taylor expansion of -1 in N 1.207 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.207 * [taylor]: Taking taylor expansion of N in N 1.207 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.207 * [taylor]: Taking taylor expansion of 1.0 in N 1.207 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.207 * [taylor]: Taking taylor expansion of N in N 1.245 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 1.245 * [approximate]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in (N) around 0 1.245 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 1.245 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.245 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.245 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.245 * [taylor]: Taking taylor expansion of N in N 1.245 * [taylor]: Taking taylor expansion of 1.0 in N 1.245 * [taylor]: Taking taylor expansion of N in N 1.247 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 1.247 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.247 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.248 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.248 * [taylor]: Taking taylor expansion of N in N 1.248 * [taylor]: Taking taylor expansion of 1.0 in N 1.248 * [taylor]: Taking taylor expansion of N in N 1.269 * [approximate]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.269 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 1.269 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.270 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.270 * [taylor]: Taking taylor expansion of N in N 1.270 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.270 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.270 * [taylor]: Taking taylor expansion of N in N 1.270 * [taylor]: Taking taylor expansion of 1.0 in N 1.278 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 1.278 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.278 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.278 * [taylor]: Taking taylor expansion of N in N 1.278 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.278 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.278 * [taylor]: Taking taylor expansion of N in N 1.278 * [taylor]: Taking taylor expansion of 1.0 in N 1.327 * [approximate]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 1.327 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.327 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.327 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.327 * [taylor]: Taking taylor expansion of -1 in N 1.327 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.327 * [taylor]: Taking taylor expansion of N in N 1.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.327 * [taylor]: Taking taylor expansion of 1.0 in N 1.327 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.327 * [taylor]: Taking taylor expansion of N in N 1.338 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.338 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.338 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.338 * [taylor]: Taking taylor expansion of -1 in N 1.338 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.338 * [taylor]: Taking taylor expansion of N in N 1.338 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.338 * [taylor]: Taking taylor expansion of 1.0 in N 1.338 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.338 * [taylor]: Taking taylor expansion of N in N 1.393 * * * [progress]: simplifying candidates 1.394 * [simplify]: Simplifying using # : (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (exp 1) (exp (* (cbrt (log (log (/ (+ N 1.0) N)))) (cbrt (log (log (/ (+ N 1.0) N)))))) (exp (sqrt (log (log (/ (+ N 1.0) N))))) (exp 1) (exp (log 1)) (exp (log (log (/ (+ N 1.0) N)))) (exp (log (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))))) (exp (log (cbrt (log (/ (+ N 1.0) N))))) (exp (log (sqrt (log (/ (+ N 1.0) N))))) (exp (log (sqrt (log (/ (+ N 1.0) N))))) (exp (log 1)) (exp (log (log (/ (+ N 1.0) N)))) (log (exp (log (log (/ (+ N 1.0) N))))) (exp (exp (log (log (/ (+ N 1.0) N))))) (* (cbrt (exp (log (log (/ (+ N 1.0) N))))) (cbrt (exp (log (log (/ (+ N 1.0) N)))))) (cbrt (exp (log (log (/ (+ N 1.0) N))))) (* (* (exp (log (log (/ (+ N 1.0) N)))) (exp (log (log (/ (+ N 1.0) N))))) (exp (log (log (/ (+ N 1.0) N))))) (sqrt (exp (log (log (/ (+ N 1.0) N))))) (sqrt (exp (log (log (/ (+ N 1.0) N))))) (log 1) (log (log (/ (+ N 1.0) N))) (log (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (log (cbrt (log (/ (+ N 1.0) N)))) (log (sqrt (log (/ (+ N 1.0) N)))) (log (sqrt (log (/ (+ N 1.0) N)))) (log 1) (log (log (/ (+ N 1.0) N))) (log (log (/ (+ N 1.0) N))) (log (log (log (/ (+ N 1.0) N)))) (exp (log (log (/ (+ N 1.0) N)))) (* (cbrt (log (log (/ (+ N 1.0) N)))) (cbrt (log (log (/ (+ N 1.0) N))))) (cbrt (log (log (/ (+ N 1.0) N)))) (* (* (log (log (/ (+ N 1.0) N))) (log (log (/ (+ N 1.0) N)))) (log (log (/ (+ N 1.0) N)))) (sqrt (log (log (/ (+ N 1.0) N)))) (sqrt (log (log (/ (+ N 1.0) N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 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)))) (- (+ (* 0.3333333333333333 (/ 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))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (log (- (log 1.0) (log N))) (* 1.0 (/ N (- (log 1.0) (log N))))) (+ (* 1/2 (/ (pow N 2) (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.5 (/ (pow N 2) (pow (- (log 1.0) (log N)) 2))))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 2))) (+ (log 1.0) (log (/ 1 N)))) (+ (* 0.125 (/ 1 (* (pow N 2) (pow 1.0 2)))) (* 0.5 (/ 1 N)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 2))) (+ (log -1.0) (log (/ -1 N)))) (+ (* 0.5 (/ 1 N)) (* 0.125 (/ 1 (* (pow N 2) (pow -1.0 2)))))) 1.398 * * [simplify]: iteration 0 : 295 enodes (cost 470 ) 1.402 * * [simplify]: iteration 1 : 944 enodes (cost 432 ) 1.418 * * [simplify]: iteration 2 : 4238 enodes (cost 400 ) 1.505 * * [simplify]: iteration 3 : 5001 enodes (cost 394 ) 1.507 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (pow (cbrt (log (/ (+ N 1.0) N))) 2) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) E (exp (* (cbrt (log (log (/ (+ N 1.0) N)))) (cbrt (log (log (/ (+ N 1.0) N)))))) (exp (sqrt (log (log (/ (+ N 1.0) N))))) E 1 (log (/ (+ N 1.0) N)) (pow (cbrt (log (/ (+ N 1.0) N))) 2) (cbrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) 1 (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (pow (cbrt (log (/ (+ N 1.0) N))) 2) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) 0 (log (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (log (/ (+ N 1.0) N))))) (log (cbrt (log (/ (+ N 1.0) N)))) (log (sqrt (log (/ (+ N 1.0) N)))) (log (sqrt (log (/ (+ N 1.0) N)))) 0 (log (log (/ (+ N 1.0) N))) (log (log (/ (+ N 1.0) N))) (log (log (log (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (* (cbrt (log (log (/ (+ N 1.0) N)))) (cbrt (log (log (/ (+ N 1.0) N))))) (cbrt (log (log (/ (+ N 1.0) N)))) (pow (log (log (/ (+ N 1.0) N))) 3) (sqrt (log (log (/ (+ N 1.0) N)))) (sqrt (log (log (/ (+ N 1.0) N)))) (- (+ (* 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 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 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 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (- (* 1.0 (/ N (- (log 1.0) (log N)))) (- (* (/ (pow N 2) (- (log 1.0) (log N))) (+ (/ 0.5 (- (log 1.0) (log N))) (/ 1/2 (pow 1.0 2)))) (log (- (log 1.0) (log N))))) (+ (- (* (/ 1 (pow N 2)) (- 0.3333333333333333 (/ 0.125 (pow 1.0 2)))) (/ 0.5 N)) (- (log 1.0) (log N))) (+ (- (- (/ (/ 0.3333333333333333 N) N) (/ (/ 0.125 (pow -1.0 2)) (pow N 2))) (/ 0.5 N)) (+ (log -1.0) (log (/ -1 N)))) 1.508 * * * [progress]: adding candidates to table 1.625 * [progress]: [Phase 3 of 3] Extracting. 1.625 * * [regime]: Finding splitpoints for: (# # # # #) 1.627 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.627 * * * * [regimes]: Trying to branch on N from (# # # # #) 1.655 * * * [regime]: Found split indices: #