13.638 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.053 * * * [progress]: [2/2] Setting up program. 0.055 * [progress]: [Phase 2 of 3] Improving. 0.055 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.056 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.057 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.058 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.058 * * [simplify]: iteration done : 10 enodes (cost 7 ) 0.058 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.059 * * [progress]: iteration 1 / 4 0.059 * * * [progress]: picking best candidate 0.061 * * * * [pick]: Picked # 0.061 * * * [progress]: localizing error 0.068 * * * [progress]: generating rewritten candidates 0.068 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.071 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.085 * * * [progress]: generating series expansions 0.085 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.085 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.085 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.085 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.085 * [taylor]: Taking taylor expansion of N in N 0.085 * [taylor]: Taking taylor expansion of 1.0 in N 0.085 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.085 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.085 * [taylor]: Taking taylor expansion of N in N 0.085 * [taylor]: Taking taylor expansion of 1.0 in N 0.087 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.087 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.087 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.087 * [taylor]: Taking taylor expansion of N in N 0.087 * [taylor]: Taking taylor expansion of 1.0 in N 0.087 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.087 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.087 * [taylor]: Taking taylor expansion of N in N 0.087 * [taylor]: Taking taylor expansion of 1.0 in N 0.088 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.088 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.088 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.088 * [taylor]: Taking taylor expansion of 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 (log (- 1.0 (/ 1 N))) in N 0.088 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.088 * [taylor]: Taking taylor expansion of 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 0.089 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.089 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.089 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.089 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.089 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 N) in N 0.090 * [taylor]: Taking taylor expansion of N in N 0.090 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.090 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.090 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.090 * [taylor]: Taking taylor expansion of N in N 0.090 * [taylor]: Taking taylor expansion of 1.0 in N 0.090 * [taylor]: Taking taylor expansion of (log N) in N 0.090 * [taylor]: Taking taylor expansion of N in N 0.091 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.091 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.091 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.091 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.091 * [taylor]: Taking taylor expansion of N in N 0.091 * [taylor]: Taking taylor expansion of 1.0 in N 0.091 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.091 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.091 * [taylor]: Taking taylor expansion of N in N 0.091 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.091 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.091 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.091 * [taylor]: Taking taylor expansion of N in N 0.092 * [taylor]: Taking taylor expansion of 1.0 in N 0.092 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.092 * [taylor]: Taking taylor expansion of N in N 0.094 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.094 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.094 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.094 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.094 * [taylor]: Taking taylor expansion of 1.0 in N 0.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.094 * [taylor]: Taking taylor expansion of N in N 0.094 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.094 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.094 * [taylor]: Taking taylor expansion of -1 in N 0.094 * [taylor]: Taking taylor expansion of N in N 0.094 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.094 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.094 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.094 * [taylor]: Taking taylor expansion of 1.0 in N 0.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.094 * [taylor]: Taking taylor expansion of N in N 0.094 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.094 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.094 * [taylor]: Taking taylor expansion of -1 in N 0.094 * [taylor]: Taking taylor expansion of N in N 0.096 * * * [progress]: simplifying candidates 0.097 * [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)) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (log (neg 1)) (* 1.0 (/ 1 N))) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log 1.0) (* 1.0 N)) (+ (log N) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log 1)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (log (neg 1)) (* 1.0 (/ 1 N))) (+ (* 0.5 (/ 1 (pow N 2))) (log -1))) 0.099 * * [simplify]: iteration 0 : 107 enodes (cost 516 ) 0.113 * * [simplify]: iteration 1 : 233 enodes (cost 490 ) 0.151 * * [simplify]: iteration 2 : 622 enodes (cost 445 ) 0.254 * * [simplify]: iteration 3 : 1722 enodes (cost 443 ) 0.598 * * [simplify]: iteration 4 : 4941 enodes (cost 443 ) 1.220 * * [simplify]: iteration done : 5000 enodes (cost 443 ) 1.221 * [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 (+ (* 1.0 (- 1.0 N)) (* N N))) (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 1.0)) (log N))) (* (log N) (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)) (* 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) (log (+ (* 1.0 (- 1.0 N)) (* N N)))) (+ (log (- N 1.0)) (log N)) (neg (log N)) (+ (* -1/2 (/ (pow N 2) (pow 1.0 2))) (+ (log 1.0) (* 1.0 N))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (+ (/ 1.0 N) (log -1)) (+ (log (/ -1 N)) (/ 0.5 (* N N)))) (+ (+ (log 1.0) (* 1.0 N)) (- (* (/ (pow N 2) (pow 1.0 2)) -1/2) (log N))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (- (+ (/ 1.0 N) (log -1)) (log -1)) (/ 0.5 (* N N))) 1.221 * * * [progress]: adding candidates to table 1.306 * * [progress]: iteration 2 / 4 1.306 * * * [progress]: picking best candidate 1.313 * * * * [pick]: Picked # 1.313 * * * [progress]: localizing error 1.325 * * * [progress]: generating rewritten candidates 1.325 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.355 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.360 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 1.365 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.380 * * * [progress]: generating series expansions 1.380 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.380 * [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 1.380 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 1.380 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 1.381 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 1.381 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.381 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.381 * [taylor]: Taking taylor expansion of N in N 1.381 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.381 * [taylor]: Taking taylor expansion of 1.0 in N 1.381 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.381 * [taylor]: Taking taylor expansion of N in N 1.381 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 1.381 * [taylor]: Taking taylor expansion of 0.5 in N 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.381 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.381 * [taylor]: Taking taylor expansion of N in N 1.381 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 1.381 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 1.381 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 1.381 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.381 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.381 * [taylor]: Taking taylor expansion of N in N 1.381 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.381 * [taylor]: Taking taylor expansion of 1.0 in N 1.381 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.381 * [taylor]: Taking taylor expansion of N in N 1.381 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 1.381 * [taylor]: Taking taylor expansion of 0.5 in N 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.381 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.381 * [taylor]: Taking taylor expansion of N in N 1.382 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (pow N 3)) (* 1.0 N)) (* 0.5 (pow N 2))) in (N) around 0 1.382 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (pow N 3)) (* 1.0 N)) (* 0.5 (pow N 2))) in N 1.382 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 1.0 N)) in N 1.382 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.382 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.382 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.382 * [taylor]: Taking taylor expansion of N in N 1.382 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.382 * [taylor]: Taking taylor expansion of 1.0 in N 1.382 * [taylor]: Taking taylor expansion of N in N 1.382 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.382 * [taylor]: Taking taylor expansion of 0.5 in N 1.382 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.382 * [taylor]: Taking taylor expansion of N in N 1.382 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (pow N 3)) (* 1.0 N)) (* 0.5 (pow N 2))) in N 1.382 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 1.0 N)) in N 1.382 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.383 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.383 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.383 * [taylor]: Taking taylor expansion of N in N 1.383 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.383 * [taylor]: Taking taylor expansion of 1.0 in N 1.383 * [taylor]: Taking taylor expansion of N in N 1.383 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.383 * [taylor]: Taking taylor expansion of 0.5 in N 1.383 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.383 * [taylor]: Taking taylor expansion of N in N 1.384 * [approximate]: Taking taylor expansion of (neg (+ (* 0.3333333333333333 (pow N 3)) (+ (* 1.0 N) (* 0.5 (pow N 2))))) in (N) around 0 1.384 * [taylor]: Taking taylor expansion of (neg (+ (* 0.3333333333333333 (pow N 3)) (+ (* 1.0 N) (* 0.5 (pow N 2))))) in N 1.384 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (+ (* 1.0 N) (* 0.5 (pow N 2)))) in N 1.384 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.384 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.384 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.384 * [taylor]: Taking taylor expansion of N in N 1.384 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.5 (pow N 2))) in N 1.384 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.384 * [taylor]: Taking taylor expansion of 1.0 in N 1.384 * [taylor]: Taking taylor expansion of N in N 1.384 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.384 * [taylor]: Taking taylor expansion of 0.5 in N 1.384 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.384 * [taylor]: Taking taylor expansion of N in N 1.384 * [taylor]: Taking taylor expansion of (neg (+ (* 0.3333333333333333 (pow N 3)) (+ (* 1.0 N) (* 0.5 (pow N 2))))) in N 1.384 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (+ (* 1.0 N) (* 0.5 (pow N 2)))) in N 1.384 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.384 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.384 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.384 * [taylor]: Taking taylor expansion of N in N 1.384 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.5 (pow N 2))) in N 1.384 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.384 * [taylor]: Taking taylor expansion of 1.0 in N 1.384 * [taylor]: Taking taylor expansion of N in N 1.384 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.384 * [taylor]: Taking taylor expansion of 0.5 in N 1.384 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.384 * [taylor]: Taking taylor expansion of N in N 1.385 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.385 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 1.385 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 1.385 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.385 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.385 * [taylor]: Taking taylor expansion of N in N 1.385 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 1.385 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.385 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.385 * [taylor]: Taking taylor expansion of N in N 1.386 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 1.386 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.386 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.386 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.386 * [taylor]: Taking taylor expansion of N in N 1.386 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.386 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.387 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.387 * [taylor]: Taking taylor expansion of N in N 1.388 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 1.388 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 1.388 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 1.388 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.388 * [taylor]: Taking taylor expansion of N in N 1.388 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 1.388 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 1.388 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.388 * [taylor]: Taking taylor expansion of N in N 1.389 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 1.389 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 1.389 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 1.389 * [taylor]: Taking taylor expansion of 0.5 in N 1.389 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.389 * [taylor]: Taking taylor expansion of N in N 1.389 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 1.389 * [taylor]: Taking taylor expansion of 0.5 in N 1.389 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.389 * [taylor]: Taking taylor expansion of N in N 1.390 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 1.390 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.390 * [taylor]: Taking taylor expansion of 0.5 in N 1.390 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.390 * [taylor]: Taking taylor expansion of N in N 1.390 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.390 * [taylor]: Taking taylor expansion of 0.5 in N 1.390 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.390 * [taylor]: Taking taylor expansion of N in N 1.395 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 1.395 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.395 * [taylor]: Taking taylor expansion of 0.5 in N 1.395 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.395 * [taylor]: Taking taylor expansion of N in N 1.395 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.395 * [taylor]: Taking taylor expansion of 0.5 in N 1.395 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.395 * [taylor]: Taking taylor expansion of N in N 1.396 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.396 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 1.396 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 1.396 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.396 * [taylor]: Taking taylor expansion of 1.0 in N 1.396 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.396 * [taylor]: Taking taylor expansion of N in N 1.396 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 1.396 * [taylor]: Taking taylor expansion of 0.5 in N 1.396 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.396 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.396 * [taylor]: Taking taylor expansion of N in N 1.396 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) in N 1.396 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.396 * [taylor]: Taking taylor expansion of 1.0 in N 1.396 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.396 * [taylor]: Taking taylor expansion of N in N 1.396 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 1.396 * [taylor]: Taking taylor expansion of 0.5 in N 1.396 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.396 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.396 * [taylor]: Taking taylor expansion of N in N 1.399 * [approximate]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in (N) around 0 1.399 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 1.399 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.399 * [taylor]: Taking taylor expansion of 1.0 in N 1.399 * [taylor]: Taking taylor expansion of N in N 1.399 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.399 * [taylor]: Taking taylor expansion of 0.5 in N 1.399 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.399 * [taylor]: Taking taylor expansion of N in N 1.399 * [taylor]: Taking taylor expansion of (- (* 1.0 N) (* 0.5 (pow N 2))) in N 1.399 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.399 * [taylor]: Taking taylor expansion of 1.0 in N 1.399 * [taylor]: Taking taylor expansion of N in N 1.399 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.399 * [taylor]: Taking taylor expansion of 0.5 in N 1.399 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.399 * [taylor]: Taking taylor expansion of N in N 1.401 * [approximate]: Taking taylor expansion of (neg (+ (* 1.0 N) (* 0.5 (pow N 2)))) in (N) around 0 1.401 * [taylor]: Taking taylor expansion of (neg (+ (* 1.0 N) (* 0.5 (pow N 2)))) in N 1.401 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.5 (pow N 2))) in N 1.401 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.401 * [taylor]: Taking taylor expansion of 1.0 in N 1.401 * [taylor]: Taking taylor expansion of N in N 1.401 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.401 * [taylor]: Taking taylor expansion of 0.5 in N 1.401 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.401 * [taylor]: Taking taylor expansion of N in N 1.401 * [taylor]: Taking taylor expansion of (neg (+ (* 1.0 N) (* 0.5 (pow N 2)))) in N 1.401 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.5 (pow N 2))) in N 1.401 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.401 * [taylor]: Taking taylor expansion of 1.0 in N 1.401 * [taylor]: Taking taylor expansion of N in N 1.401 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 1.401 * [taylor]: Taking taylor expansion of 0.5 in N 1.401 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.401 * [taylor]: Taking taylor expansion of N in N 1.402 * * * [progress]: simplifying candidates 1.405 * [simplify]: Simplifying using # : (* (exp (/ 0.3333333333333333 (pow N 3))) (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N))))) (* (exp (/ 0.3333333333333333 (pow N 3))) (exp (- (/ 1.0 N) (/ 0.5 (* N N))))) (log (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (* (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (+ (* 0.3333333333333333 (* N (* N N))) (* (pow N 3) (- (* 1.0 (* N N)) (* N 0.5)))) (* (pow N 3) (* N (* N N))) (+ (* 0.3333333333333333 (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N)))))) (* (pow N 3) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (* (pow N 3) (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N)))))) (+ (* 0.3333333333333333 (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (pow N 3) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))))) (* (pow N 3) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3)) (+ (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (- (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (- (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (log (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (* (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (neg 0.3333333333333333) (neg (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 0.3333333333333333) (cbrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N (/ 3 2))) (/ (cbrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 0.3333333333333333) (cbrt (pow N 3))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 1 1) (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 0.3333333333333333 1) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (- (log 0.5) (+ (log N) (log N))) (- (log 0.5) (log (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (neg 0.5) (neg (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (/ (exp (/ 1.0 N)) (exp (/ 0.5 (* N N)))) (log (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 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)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (- (* 1.0 (* N N)) (* N 0.5)) (* N (* N N)) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ 1.0 N) (/ 0.5 (* N N))))) (neg (/ 0.5 (* N N))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (/ 0.5 (* N N))) (+ (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (neg (/ 0.5 (* N 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)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) (- (* 1.0 (/ 1 N)) (* 0.5 (/ 1 (pow N 2)))) 1.410 * * [simplify]: iteration 0 : 207 enodes (cost 1839 ) 1.440 * * [simplify]: iteration 1 : 495 enodes (cost 1625 ) 1.533 * * [simplify]: iteration 2 : 1678 enodes (cost 1524 ) 1.907 * * [simplify]: iteration done : 5001 enodes (cost 1510 ) 1.908 * [simplify]: Simplified to: (exp (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (log (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (pow (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) 3) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))) (+ (* (pow N 3) 0.3333333333333333) (* (* N (- (* 1.0 N) 0.5)) (pow N 3))) (pow N 6) (+ (* 0.3333333333333333 (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))) (* (pow N 3) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)))) (* (pow N 3) (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N)))) (+ (* 0.3333333333333333 (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (- (* (/ 1.0 N) (/ 1.0 N)) (/ 0.5 (/ (pow N 4) 0.5))) (pow N 3))) (* (+ (/ 1.0 N) (/ 0.5 (* N N))) (pow N 3)) (+ (pow (/ 0.3333333333333333 (pow N 3)) 3) (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3)) (+ (* (/ 0.3333333333333333 (pow N 6)) 0.3333333333333333) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))))) (- (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6)) (* (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))))) (- (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (log (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (neg 0.3333333333333333) (neg (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N 2)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N 2)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N 2)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N 2)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N 3/2)) (/ (cbrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (pow N 2)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N 2)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow N 2)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow N 2)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow N 2)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (- (log 0.5) (* 2 (log N))) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (pow 0.5 3) (pow N 6)) (/ (pow 0.5 3) (pow N 6)) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (/ (pow 0.5 3) (pow N 6)) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (neg 0.5) (neg (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (pow N 2)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (log (- (/ 1.0 N) (/ 0.5 (* N N)))) (exp (- (/ 1.0 N) (/ 0.5 (* N N)))) (* (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (pow (- (/ 1.0 N) (/ 0.5 (* N N))) 3) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (sqrt (- (/ 1.0 N) (/ 0.5 (* N N)))) (* N (- (* 1.0 N) 0.5)) (pow N 3) (- (pow (/ 1.0 N) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 0.5 (* N N)) (+ (/ 1.0 N) (/ 0.5 (* N N)))) (* (/ 1.0 N) (/ 1.0 N))) (neg (/ 0.5 (* N N))) (- (* (/ 1.0 N) (/ 1.0 N)) (/ 0.5 (/ (pow N 4) 0.5))) (+ (/ 1.0 N) (/ 0.5 (* N N))) (+ (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ 1.0 N)) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (- (sqrt (/ 1.0 N)) (/ (sqrt 0.5) N)) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (/ 0.5 (* N N)))) (+ (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ (sqrt 1.0) (sqrt N)) (/ (sqrt 0.5) N)) (- (/ 1.0 N) (/ 0.5 (* N N))) (neg (/ 0.5 (* N N))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (+ (- (/ 1.0 N) (/ 0.5 (* N N))) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) 1.909 * * * [progress]: adding candidates to table 2.082 * * [progress]: iteration 3 / 4 2.082 * * * [progress]: picking best candidate 2.090 * * * * [pick]: Picked # 2.090 * * * [progress]: localizing error 2.095 * * * [progress]: generating rewritten candidates 2.095 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.099 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.108 * * * [progress]: generating series expansions 2.108 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.108 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 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 2.108 * [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 2.109 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 2.109 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.109 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.109 * [taylor]: Taking taylor expansion of N in N 2.109 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.109 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.109 * [taylor]: Taking taylor expansion of N in N 2.109 * [taylor]: Taking taylor expansion of 1.0 in N 2.110 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.110 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.110 * [taylor]: Taking taylor expansion of N in N 2.110 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.110 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.110 * [taylor]: Taking taylor expansion of N in N 2.110 * [taylor]: Taking taylor expansion of 1.0 in N 2.111 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 2.111 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.111 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.111 * [taylor]: Taking taylor expansion of -1 in N 2.111 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.111 * [taylor]: Taking taylor expansion of N in N 2.111 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.111 * [taylor]: Taking taylor expansion of 1.0 in N 2.111 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.111 * [taylor]: Taking taylor expansion of N in N 2.111 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.111 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.111 * [taylor]: Taking taylor expansion of -1 in N 2.111 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.111 * [taylor]: Taking taylor expansion of N in N 2.111 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.111 * [taylor]: Taking taylor expansion of 1.0 in N 2.111 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.111 * [taylor]: Taking taylor expansion of N in N 2.112 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.112 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 2.112 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.112 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.112 * [taylor]: Taking taylor expansion of N in N 2.112 * [taylor]: Taking taylor expansion of 1.0 in N 2.112 * [taylor]: Taking taylor expansion of N in N 2.112 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.112 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.112 * [taylor]: Taking taylor expansion of N in N 2.112 * [taylor]: Taking taylor expansion of 1.0 in N 2.112 * [taylor]: Taking taylor expansion of N in N 2.113 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 2.113 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.113 * [taylor]: Taking taylor expansion of N in N 2.113 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.113 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.113 * [taylor]: Taking taylor expansion of N in N 2.113 * [taylor]: Taking taylor expansion of 1.0 in N 2.113 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.113 * [taylor]: Taking taylor expansion of N in N 2.113 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.113 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.113 * [taylor]: Taking taylor expansion of N in N 2.113 * [taylor]: Taking taylor expansion of 1.0 in N 2.115 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 2.115 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.115 * [taylor]: Taking taylor expansion of -1 in N 2.115 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.115 * [taylor]: Taking taylor expansion of N in N 2.115 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.115 * [taylor]: Taking taylor expansion of 1.0 in N 2.115 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.115 * [taylor]: Taking taylor expansion of N in N 2.115 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.115 * [taylor]: Taking taylor expansion of -1 in N 2.115 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.115 * [taylor]: Taking taylor expansion of N in N 2.115 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.115 * [taylor]: Taking taylor expansion of 1.0 in N 2.115 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.115 * [taylor]: Taking taylor expansion of N in N 2.119 * * * [progress]: simplifying candidates 2.120 * [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)) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 2.123 * * [simplify]: iteration 0 : 103 enodes (cost 713 ) 2.136 * * [simplify]: iteration 1 : 218 enodes (cost 680 ) 2.167 * * [simplify]: iteration 2 : 603 enodes (cost 627 ) 2.279 * * [simplify]: iteration 3 : 1683 enodes (cost 612 ) 2.616 * * [simplify]: iteration done : 5000 enodes (cost 612 ) 2.616 * [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))) (- (* 2 (log (cbrt (+ N 1.0)))) (log (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)) (neg (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (neg (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (neg (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (neg (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (neg (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ 1.0 N) 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 (/ (+ 1.0 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ 1.0 N)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ 1.0 N) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ 1.0 N)) (/ N (+ 1.0 N)) (* N (+ (* N N) (* 1.0 (- 1.0 N)))) (* (- N 1.0) N) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 2.617 * * * [progress]: adding candidates to table 2.697 * * [progress]: iteration 4 / 4 2.697 * * * [progress]: picking best candidate 2.706 * * * * [pick]: Picked # 2.706 * * * [progress]: localizing error 2.711 * * * [progress]: generating rewritten candidates 2.711 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.719 * * * [progress]: generating series expansions 2.719 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.719 * [approximate]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in (N) around 0 2.719 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in N 2.719 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 2.720 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.720 * [taylor]: Taking taylor expansion of 1.0 in N 2.720 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.720 * [taylor]: Taking taylor expansion of N in N 2.720 * [taylor]: Taking taylor expansion of 1 in N 2.720 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 (/ 1 N)) 1)) in N 2.720 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) 1) in N 2.720 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.720 * [taylor]: Taking taylor expansion of 1.0 in N 2.720 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.720 * [taylor]: Taking taylor expansion of N in N 2.720 * [taylor]: Taking taylor expansion of 1 in N 2.721 * [approximate]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in (N) around 0 2.721 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in N 2.721 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 2.721 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.721 * [taylor]: Taking taylor expansion of 1.0 in N 2.721 * [taylor]: Taking taylor expansion of N in N 2.721 * [taylor]: Taking taylor expansion of 1 in N 2.721 * [taylor]: Taking taylor expansion of (log (+ (* 1.0 N) 1)) in N 2.721 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 2.721 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.721 * [taylor]: Taking taylor expansion of 1.0 in N 2.721 * [taylor]: Taking taylor expansion of N in N 2.721 * [taylor]: Taking taylor expansion of 1 in N 2.722 * [approximate]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in (N) around 0 2.722 * [taylor]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in N 2.722 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 N)) in N 2.722 * [taylor]: Taking taylor expansion of 1 in N 2.722 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.722 * [taylor]: Taking taylor expansion of 1.0 in N 2.722 * [taylor]: Taking taylor expansion of N in N 2.722 * [taylor]: Taking taylor expansion of (log (- 1 (* 1.0 N))) in N 2.722 * [taylor]: Taking taylor expansion of (- 1 (* 1.0 N)) in N 2.722 * [taylor]: Taking taylor expansion of 1 in N 2.722 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.722 * [taylor]: Taking taylor expansion of 1.0 in N 2.722 * [taylor]: Taking taylor expansion of N in N 2.723 * * * [progress]: simplifying candidates 2.723 * [simplify]: Simplifying using # : (log (* (cbrt (+ (/ 1.0 N) 1)) (cbrt (+ (/ 1.0 N) 1)))) (log (cbrt (+ (/ 1.0 N) 1))) (log (sqrt (+ (/ 1.0 N) 1))) (log (sqrt (+ (/ 1.0 N) 1))) (log 1) (log (+ (/ 1.0 N) 1)) (log 1) (log (+ (/ 1.0 N) 1)) (log (+ (pow (/ 1.0 N) 3) (pow 1 3))) (log (+ (* (/ 1.0 N) (/ 1.0 N)) (- (* 1 1) (* (/ 1.0 N) 1)))) (log (- (* (/ 1.0 N) (/ 1.0 N)) (* 1 1))) (log (- (/ 1.0 N) 1)) (log (+ (/ 1.0 N) 1)) (log (log (+ (/ 1.0 N) 1))) (exp (log (+ (/ 1.0 N) 1))) (* (cbrt (log (+ (/ 1.0 N) 1))) (cbrt (log (+ (/ 1.0 N) 1)))) (cbrt (log (+ (/ 1.0 N) 1))) (* (* (log (+ (/ 1.0 N) 1)) (log (+ (/ 1.0 N) 1))) (log (+ (/ 1.0 N) 1))) (sqrt (log (+ (/ 1.0 N) 1))) (sqrt (log (+ (/ 1.0 N) 1))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) 2.727 * * [simplify]: iteration 0 : 54 enodes (cost 224 ) 2.734 * * [simplify]: iteration 1 : 124 enodes (cost 206 ) 2.752 * * [simplify]: iteration 2 : 358 enodes (cost 181 ) 2.820 * * [simplify]: iteration 3 : 1184 enodes (cost 179 ) 3.244 * * [simplify]: iteration 4 : 4095 enodes (cost 179 ) 3.971 * * [simplify]: iteration done : 5001 enodes (cost 179 ) 3.972 * [simplify]: Simplified to: (* 2 (log (cbrt (+ (/ 1.0 N) 1)))) (log (cbrt (+ (/ 1.0 N) 1))) (log (sqrt (+ (/ 1.0 N) 1))) (log (sqrt (+ (/ 1.0 N) 1))) 0 (log (+ (/ 1.0 N) 1)) 0 (log (+ (/ 1.0 N) 1)) (log (+ (pow (/ 1.0 N) 3) 1)) (log (+ (* (/ 1.0 N) (- (/ 1.0 N) 1)) 1)) (log (- (* (/ 1.0 N) (/ 1.0 N)) 1)) (log (- (/ 1.0 N) 1)) (log (+ (/ 1.0 N) 1)) (log (log (+ (/ 1.0 N) 1))) (+ 1 (/ 1.0 N)) (* (cbrt (log (+ (/ 1.0 N) 1))) (cbrt (log (+ (/ 1.0 N) 1)))) (cbrt (log (+ (/ 1.0 N) 1))) (pow (log (+ (/ 1.0 N) 1)) 3) (sqrt (log (+ (/ 1.0 N) 1))) (sqrt (log (+ (/ 1.0 N) 1))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (/ 1.0 N) (/ 0.5 (pow N 2))) (- (/ 1.0 N) (/ 0.5 (pow N 2))) 3.972 * * * [progress]: adding candidates to table 3.997 * [progress]: [Phase 3 of 3] Extracting. 3.998 * * [regime]: Finding splitpoints for: (# # # #) 3.998 * * * [regime-changes]: Trying 1 branch expressions: (N) 3.998 * * * * [regimes]: Trying to branch on N from (# # # #) 4.035 * * * [regime]: Found split indices: #