5.772 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.045 * * * [progress]: [2/2] Setting up program. 0.047 * [progress]: [Phase 2 of 3] Improving. 0.048 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.049 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.049 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.050 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.051 * * [simplify]: iteration done : 10 enodes (cost 7 ) 0.051 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.051 * * [progress]: iteration 1 / 4 0.051 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.053 * * * [progress]: localizing error 0.060 * * * [progress]: generating rewritten candidates 0.060 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.066 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.070 * * * [progress]: generating series expansions 0.070 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.070 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.070 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.070 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.070 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.070 * [taylor]: Taking taylor expansion of N in N 0.070 * [taylor]: Taking taylor expansion of 1.0 in N 0.071 * [taylor]: Taking taylor expansion of (log N) in N 0.071 * [taylor]: Taking taylor expansion of N in N 0.071 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.071 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.071 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.071 * [taylor]: Taking taylor expansion of N in N 0.071 * [taylor]: Taking taylor expansion of 1.0 in N 0.072 * [taylor]: Taking taylor expansion of (log N) in N 0.072 * [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 0.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.092 * [taylor]: Taking taylor expansion of N in N 0.092 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.092 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.092 * [taylor]: Taking taylor expansion of N in N 0.092 * [taylor]: Taking taylor expansion of 1.0 in N 0.093 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.093 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.093 * [taylor]: Taking taylor expansion of N in N 0.127 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.127 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.127 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.127 * [taylor]: Taking taylor expansion of 1.0 in N 0.127 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.127 * [taylor]: Taking taylor expansion of N in N 0.128 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.128 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.128 * [taylor]: Taking taylor expansion of -1 in N 0.128 * [taylor]: Taking taylor expansion of N in N 0.129 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.129 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.129 * [taylor]: Taking taylor expansion of 1.0 in N 0.129 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.130 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.130 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.130 * [taylor]: Taking taylor expansion of -1 in N 0.130 * [taylor]: Taking taylor expansion of N in N 0.164 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.164 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.164 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.164 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.164 * [taylor]: Taking taylor expansion of 1.0 in N 0.165 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.165 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.165 * [taylor]: Taking taylor expansion of 1.0 in N 0.176 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.176 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.177 * [taylor]: Taking taylor expansion of 1.0 in N 0.177 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [taylor]: Taking taylor expansion of 1.0 in N 0.195 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.195 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.195 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.195 * [taylor]: Taking taylor expansion of 1.0 in N 0.195 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.195 * [taylor]: Taking taylor expansion of N in N 0.196 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.196 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.196 * [taylor]: Taking taylor expansion of 1.0 in N 0.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.196 * [taylor]: Taking taylor expansion of N in N 0.210 * * * [progress]: simplifying candidates 0.211 * [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)))) 0.214 * * [simplify]: iteration 0 : 101 enodes (cost 510 ) 0.229 * * [simplify]: iteration 1 : 213 enodes (cost 488 ) 0.276 * * [simplify]: iteration 2 : 498 enodes (cost 445 ) 0.421 * * [simplify]: iteration 3 : 1320 enodes (cost 443 ) 1.796 * * [simplify]: iteration 4 : 4906 enodes (cost 438 ) 2.576 * * [simplify]: iteration done : 5000 enodes (cost 438 ) 2.577 * [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) (log N)) (* (+ (log (+ N 1.0)) (log N)) (log (+ N 1.0)))) (- (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 (+ 1.0 N)) (- (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)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ 1.0 N)) 0 (log (+ 1.0 N)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ 1.0 N)) (log (log (+ N 1.0))) (+ 1.0 N) (* (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))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (+ (log N) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (log N) (- (/ 1.0 N) (/ 0.5 (* N N)))) 2.577 * * * [progress]: adding candidates to table 2.677 * * [progress]: iteration 2 / 4 2.677 * * * [progress]: picking best candidate 2.685 * * * * [pick]: Picked # 2.685 * * * [progress]: localizing error 2.694 * * * [progress]: generating rewritten candidates 2.694 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 3.007 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.011 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.014 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.052 * * * [progress]: generating series expansions 3.052 * * * * [progress]: [ 1 / 4 ] generating series at (2) 3.052 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 3.052 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 3.052 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 3.052 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.052 * [taylor]: Taking taylor expansion of 1.0 in N 3.052 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.052 * [taylor]: Taking taylor expansion of N in N 3.053 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.053 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.053 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.053 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.053 * [taylor]: Taking taylor expansion of N in N 3.054 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.054 * [taylor]: Taking taylor expansion of 0.5 in N 3.054 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.054 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.054 * [taylor]: Taking taylor expansion of N in N 3.054 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 3.054 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 3.054 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.054 * [taylor]: Taking taylor expansion of 1.0 in N 3.054 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.054 * [taylor]: Taking taylor expansion of N in N 3.055 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.055 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.055 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.055 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.055 * [taylor]: Taking taylor expansion of N in N 3.056 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 3.056 * [taylor]: Taking taylor expansion of 0.5 in N 3.056 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 3.056 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.056 * [taylor]: Taking taylor expansion of N in N 3.065 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 3.065 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 3.065 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.065 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.065 * [taylor]: Taking taylor expansion of 1.0 in N 3.065 * [taylor]: Taking taylor expansion of N in N 3.065 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.065 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.065 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.065 * [taylor]: Taking taylor expansion of N in N 3.065 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.065 * [taylor]: Taking taylor expansion of 0.5 in N 3.065 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.065 * [taylor]: Taking taylor expansion of N in N 3.065 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 3.065 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.065 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.065 * [taylor]: Taking taylor expansion of 1.0 in N 3.065 * [taylor]: Taking taylor expansion of N in N 3.065 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.065 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.065 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.065 * [taylor]: Taking taylor expansion of N in N 3.065 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.065 * [taylor]: Taking taylor expansion of 0.5 in N 3.065 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.065 * [taylor]: Taking taylor expansion of N in N 3.073 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 3.073 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 3.073 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 3.073 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.073 * [taylor]: Taking taylor expansion of 0.5 in N 3.073 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.073 * [taylor]: Taking taylor expansion of N in N 3.073 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.073 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.073 * [taylor]: Taking taylor expansion of 1.0 in N 3.073 * [taylor]: Taking taylor expansion of N in N 3.073 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.073 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.073 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.073 * [taylor]: Taking taylor expansion of N in N 3.073 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 3.073 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 3.074 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.074 * [taylor]: Taking taylor expansion of 0.5 in N 3.074 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.074 * [taylor]: Taking taylor expansion of N in N 3.074 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.074 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.074 * [taylor]: Taking taylor expansion of 1.0 in N 3.074 * [taylor]: Taking taylor expansion of N in N 3.074 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.074 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.074 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.074 * [taylor]: Taking taylor expansion of N in N 3.082 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.083 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 3.083 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.083 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.083 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.083 * [taylor]: Taking taylor expansion of N in N 3.083 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.084 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.084 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.084 * [taylor]: Taking taylor expansion of N in N 3.097 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 3.097 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.097 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.097 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.097 * [taylor]: Taking taylor expansion of N in N 3.097 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.097 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.097 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.097 * [taylor]: Taking taylor expansion of N in N 3.109 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 3.109 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.109 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.109 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.109 * [taylor]: Taking taylor expansion of N in N 3.109 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.109 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.109 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.109 * [taylor]: Taking taylor expansion of N in N 3.120 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.120 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 3.121 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 3.121 * [taylor]: Taking taylor expansion of 0.5 in N 3.121 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.121 * [taylor]: Taking taylor expansion of N in N 3.121 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 3.121 * [taylor]: Taking taylor expansion of 0.5 in N 3.121 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.121 * [taylor]: Taking taylor expansion of N in N 3.129 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 3.129 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.129 * [taylor]: Taking taylor expansion of 0.5 in N 3.129 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.129 * [taylor]: Taking taylor expansion of N in N 3.129 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.129 * [taylor]: Taking taylor expansion of 0.5 in N 3.129 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.129 * [taylor]: Taking taylor expansion of N in N 3.137 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 3.137 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.137 * [taylor]: Taking taylor expansion of 0.5 in N 3.137 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.137 * [taylor]: Taking taylor expansion of N in N 3.137 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 3.137 * [taylor]: Taking taylor expansion of 0.5 in N 3.137 * [taylor]: Taking taylor expansion of (pow N 2) in N 3.137 * [taylor]: Taking taylor expansion of N in N 3.145 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.145 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in (N) around 0 3.145 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 3.145 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.145 * [taylor]: Taking taylor expansion of 1.0 in N 3.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.145 * [taylor]: Taking taylor expansion of N in N 3.145 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.145 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.145 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.145 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.145 * [taylor]: Taking taylor expansion of N in N 3.146 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 3.146 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 3.146 * [taylor]: Taking taylor expansion of 1.0 in N 3.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.146 * [taylor]: Taking taylor expansion of N in N 3.146 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 3.147 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.147 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 3.147 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.147 * [taylor]: Taking taylor expansion of N in N 3.178 * [approximate]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in (N) around 0 3.178 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.178 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.178 * [taylor]: Taking taylor expansion of 1.0 in N 3.178 * [taylor]: Taking taylor expansion of N in N 3.178 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.178 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.178 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.178 * [taylor]: Taking taylor expansion of N in N 3.178 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.178 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.178 * [taylor]: Taking taylor expansion of 1.0 in N 3.178 * [taylor]: Taking taylor expansion of N in N 3.178 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.178 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.178 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.178 * [taylor]: Taking taylor expansion of N in N 3.200 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in (N) around 0 3.200 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 3.200 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.200 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.200 * [taylor]: Taking taylor expansion of 1.0 in N 3.200 * [taylor]: Taking taylor expansion of N in N 3.200 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.200 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.200 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.200 * [taylor]: Taking taylor expansion of N in N 3.200 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 3.200 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 3.200 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 3.200 * [taylor]: Taking taylor expansion of 1.0 in N 3.200 * [taylor]: Taking taylor expansion of N in N 3.200 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.200 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.200 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.200 * [taylor]: Taking taylor expansion of N in N 3.224 * * * [progress]: simplifying candidates 3.227 * [simplify]: Simplifying using # : (/ (* (exp (/ 1.0 N)) (exp (/ 0.3333333333333333 (pow N 3)))) (exp (/ 0.5 (* N N)))) (/ (exp (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (exp (/ 0.5 (* N N)))) (log (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (exp (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (* (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))))) (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (* (* (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (- (* (+ (* 1.0 (pow N 3)) (* N 0.3333333333333333)) (* N N)) (* (* N (pow N 3)) 0.5)) (* (* N (pow N 3)) (* N N)) (- (* (+ (pow (/ 1.0 N) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (* N N)) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) 0.5)) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (* N N)) (- (* (- (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)))) (* N N)) (* (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) 0.5)) (* (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (* N N)) (- (pow (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))))) (- (/ 0.5 (* N N))) (- (* (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (+ (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (+ (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (/ 0.5 (* N N)))) (- (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (/ (sqrt 0.5) N)) (- (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (/ (sqrt 0.5) N)) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.5 (* N 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))) (- 0.3333333333333333) (- (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))) (- 0.5) (- (* 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 (/ 0.3333333333333333 (pow N 3)))) (log (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 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) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (+ (* 1.0 (pow N 3)) (* N 0.3333333333333333)) (* N (pow N 3)) (+ (pow (/ 1.0 N) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (- (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (* (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (- (* (/ 1.0 N) (/ 1.0 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) (/ 0.3333333333333333 (pow N 3))) (- (+ (* 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)))) (/ 0.3333333333333333 (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)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) 3.232 * * [simplify]: iteration 0 : 201 enodes (cost 1812 ) 3.289 * * [simplify]: iteration 1 : 464 enodes (cost 1577 ) 3.515 * * [simplify]: iteration 2 : 1669 enodes (cost 1491 ) 3.968 * * [simplify]: iteration done : 5000 enodes (cost 1491 ) 3.969 * [simplify]: Simplified to: (exp (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (exp (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (log (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (exp (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (* (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))))) (cbrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (pow (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) 3) (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (sqrt (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (- (* (+ (* 1.0 (pow N 3)) (* N 0.3333333333333333)) (* N N)) (* (pow N 4) 0.5)) (pow N 6) (- (* (+ (pow (/ 1.0 N) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (* N N)) (* 0.5 (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.3333333333333333 (pow N 3)) (- (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)))))) (* (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.3333333333333333 (pow N 3)) (- (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)))) (pow N 2)) (- (* (- (* (/ 1.0 N) (/ 1.0 N)) (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6))) (pow N 2)) (* (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) 0.5)) (* (- (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (* N N)) (- (pow (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) 3) (pow (/ 0.5 (* N N)) 3)) (+ (* (/ 0.5 (pow N 2)) (+ (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N)))) (* (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (- (/ 0.5 (* N N))) (- (* (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (/ 0.5 (/ (pow N 4) 0.5))) (+ (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (+ (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (/ 0.5 (* N N)))) (- (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (/ 0.5 (* N N)))) (+ (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (/ (sqrt 0.5) N)) (- (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (/ (sqrt 0.5) N)) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (/ 0.3333333333333333 (pow N 3)) (/ 0.5 (* N N))) (- (/ 0.5 (* N N))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (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))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (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 N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (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) (* N N)) (/ (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 N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (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) (* N N)) (/ (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 (pow N 2)) (/ 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 (pow N 2)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 2)) (/ 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 (* N 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))) (- 0.5) (- (* 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) (/ 0.3333333333333333 (pow N 3)))) (log (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (pow (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) 3) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3)))) (+ (* 1.0 (pow N 3)) (* N 0.3333333333333333)) (pow N 4) (+ (pow (/ 1.0 N) 3) (pow (/ 0.3333333333333333 (pow N 3)) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (/ 0.3333333333333333 (pow N 3)) (- (/ 0.3333333333333333 (pow N 3)) (/ 1.0 N)))) (- (* (/ 1.0 N) (/ 1.0 N)) (/ (* 0.3333333333333333 0.3333333333333333) (pow N 6))) (- (/ 1.0 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) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (/ 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) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) 3.970 * * * [progress]: adding candidates to table 4.200 * * [progress]: iteration 3 / 4 4.200 * * * [progress]: picking best candidate 4.206 * * * * [pick]: Picked # 4.206 * * * [progress]: localizing error 4.210 * * * [progress]: generating rewritten candidates 4.210 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.214 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.224 * * * [progress]: generating series expansions 4.224 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.224 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 4.225 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 4.225 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.225 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.225 * [taylor]: Taking taylor expansion of N in N 4.225 * [taylor]: Taking taylor expansion of 1.0 in N 4.225 * [taylor]: Taking taylor expansion of N in N 4.226 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 4.226 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.226 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.226 * [taylor]: Taking taylor expansion of N in N 4.226 * [taylor]: Taking taylor expansion of 1.0 in N 4.226 * [taylor]: Taking taylor expansion of N in N 4.242 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 4.243 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 4.243 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.243 * [taylor]: Taking taylor expansion of N in N 4.243 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.243 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.243 * [taylor]: Taking taylor expansion of N in N 4.243 * [taylor]: Taking taylor expansion of 1.0 in N 4.245 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 4.245 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.245 * [taylor]: Taking taylor expansion of N in N 4.245 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.245 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.245 * [taylor]: Taking taylor expansion of N in N 4.245 * [taylor]: Taking taylor expansion of 1.0 in N 4.271 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 4.271 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.272 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.272 * [taylor]: Taking taylor expansion of -1 in N 4.272 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.272 * [taylor]: Taking taylor expansion of N in N 4.272 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.272 * [taylor]: Taking taylor expansion of 1.0 in N 4.272 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.272 * [taylor]: Taking taylor expansion of N in N 4.275 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.275 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.275 * [taylor]: Taking taylor expansion of -1 in N 4.275 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.275 * [taylor]: Taking taylor expansion of N in N 4.275 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.275 * [taylor]: Taking taylor expansion of 1.0 in N 4.275 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.275 * [taylor]: Taking taylor expansion of N in N 4.308 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.308 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 4.308 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.308 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.308 * [taylor]: Taking taylor expansion of N in N 4.308 * [taylor]: Taking taylor expansion of 1.0 in N 4.308 * [taylor]: Taking taylor expansion of N in N 4.309 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.309 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.309 * [taylor]: Taking taylor expansion of N in N 4.309 * [taylor]: Taking taylor expansion of 1.0 in N 4.309 * [taylor]: Taking taylor expansion of N in N 4.318 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 4.318 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.318 * [taylor]: Taking taylor expansion of N in N 4.318 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.318 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.318 * [taylor]: Taking taylor expansion of N in N 4.319 * [taylor]: Taking taylor expansion of 1.0 in N 4.319 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.319 * [taylor]: Taking taylor expansion of N in N 4.319 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.319 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.319 * [taylor]: Taking taylor expansion of N in N 4.319 * [taylor]: Taking taylor expansion of 1.0 in N 4.332 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 4.332 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.332 * [taylor]: Taking taylor expansion of -1 in N 4.332 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.332 * [taylor]: Taking taylor expansion of N in N 4.332 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.332 * [taylor]: Taking taylor expansion of 1.0 in N 4.333 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.333 * [taylor]: Taking taylor expansion of N in N 4.333 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.333 * [taylor]: Taking taylor expansion of -1 in N 4.333 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.333 * [taylor]: Taking taylor expansion of N in N 4.333 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.333 * [taylor]: Taking taylor expansion of 1.0 in N 4.333 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.333 * [taylor]: Taking taylor expansion of N in N 4.356 * * * [progress]: simplifying candidates 4.357 * [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)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 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 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 4.361 * * [simplify]: iteration 0 : 108 enodes (cost 723 ) 4.378 * * [simplify]: iteration 1 : 230 enodes (cost 690 ) 4.434 * * [simplify]: iteration 2 : 584 enodes (cost 637 ) 4.710 * * [simplify]: iteration 3 : 1748 enodes (cost 624 ) 5.713 * * [simplify]: iteration done : 5000 enodes (cost 624 ) 5.713 * [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)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (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)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ 1.0 N) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* 1.0 (- 1.0 N)) (* N N))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ 0.3333333333333333 (pow N 3))) (/ 0.5 (* N N))) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) (+ (/ 1.0 N) 1) 5.714 * * * [progress]: adding candidates to table 5.827 * * [progress]: iteration 4 / 4 5.827 * * * [progress]: picking best candidate 5.831 * * * * [pick]: Picked # 5.831 * * * [progress]: localizing error 5.849 * * * [progress]: generating rewritten candidates 5.849 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.873 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 5.876 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 5.878 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 5.884 * * * [progress]: generating series expansions 5.884 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.884 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in (N) around 0 5.884 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 5.884 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 5.884 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.884 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.884 * [taylor]: Taking taylor expansion of N in N 5.884 * [taylor]: Taking taylor expansion of 1.0 in N 5.885 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 5.885 * [taylor]: Taking taylor expansion of (log N) in N 5.885 * [taylor]: Taking taylor expansion of N in N 5.886 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) in N 5.886 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 3) in N 5.886 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 5.886 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 5.886 * [taylor]: Taking taylor expansion of N in N 5.886 * [taylor]: Taking taylor expansion of 1.0 in N 5.887 * [taylor]: Taking taylor expansion of (pow (log N) 3) in N 5.887 * [taylor]: Taking taylor expansion of (log N) in N 5.887 * [taylor]: Taking taylor expansion of N in N 5.943 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in (N) around 0 5.943 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 5.943 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 5.943 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.944 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.944 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.944 * [taylor]: Taking taylor expansion of N in N 5.944 * [taylor]: Taking taylor expansion of 1.0 in N 5.945 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 5.945 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.945 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.945 * [taylor]: Taking taylor expansion of N in N 5.946 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 3) (pow (log (/ 1 N)) 3)) in N 5.946 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 3) in N 5.946 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 5.946 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 5.946 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.946 * [taylor]: Taking taylor expansion of N in N 5.946 * [taylor]: Taking taylor expansion of 1.0 in N 5.947 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 3) in N 5.947 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 5.947 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.947 * [taylor]: Taking taylor expansion of N in N 5.990 * [approximate]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in (N) around 0 5.990 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 5.990 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 5.990 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.990 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.990 * [taylor]: Taking taylor expansion of 1.0 in N 5.990 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.990 * [taylor]: Taking taylor expansion of N in N 5.992 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 5.992 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 5.992 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.992 * [taylor]: Taking taylor expansion of -1 in N 5.992 * [taylor]: Taking taylor expansion of N in N 5.993 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 3) (pow (log (/ -1 N)) 3)) in N 5.993 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 3) in N 5.993 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 5.993 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 5.993 * [taylor]: Taking taylor expansion of 1.0 in N 5.993 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.993 * [taylor]: Taking taylor expansion of N in N 5.995 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 3) in N 5.995 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 5.995 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.995 * [taylor]: Taking taylor expansion of -1 in N 5.995 * [taylor]: Taking taylor expansion of N in N 6.081 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 6.081 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 6.082 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.082 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.082 * [taylor]: Taking taylor expansion of N in N 6.082 * [taylor]: Taking taylor expansion of 1.0 in N 6.082 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.082 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.082 * [taylor]: Taking taylor expansion of N in N 6.082 * [taylor]: Taking taylor expansion of 1.0 in N 6.094 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 6.094 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.094 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.094 * [taylor]: Taking taylor expansion of N in N 6.095 * [taylor]: Taking taylor expansion of 1.0 in N 6.095 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.095 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.095 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.095 * [taylor]: Taking taylor expansion of N in N 6.096 * [taylor]: Taking taylor expansion of 1.0 in N 6.112 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 6.112 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.112 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.112 * [taylor]: Taking taylor expansion of 1.0 in N 6.112 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.112 * [taylor]: Taking taylor expansion of N in N 6.113 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.113 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.113 * [taylor]: Taking taylor expansion of 1.0 in N 6.113 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.113 * [taylor]: Taking taylor expansion of N in N 6.128 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 6.128 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 6.128 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.128 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.128 * [taylor]: Taking taylor expansion of N in N 6.128 * [taylor]: Taking taylor expansion of 1.0 in N 6.128 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.128 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.128 * [taylor]: Taking taylor expansion of N in N 6.128 * [taylor]: Taking taylor expansion of 1.0 in N 6.140 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 6.140 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.140 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.140 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.140 * [taylor]: Taking taylor expansion of N in N 6.140 * [taylor]: Taking taylor expansion of 1.0 in N 6.141 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.141 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.141 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.141 * [taylor]: Taking taylor expansion of N in N 6.141 * [taylor]: Taking taylor expansion of 1.0 in N 6.154 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 6.154 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.154 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.154 * [taylor]: Taking taylor expansion of 1.0 in N 6.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.154 * [taylor]: Taking taylor expansion of N in N 6.155 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.155 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.155 * [taylor]: Taking taylor expansion of 1.0 in N 6.155 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.155 * [taylor]: Taking taylor expansion of N in N 6.169 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 6.170 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 6.170 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.170 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.170 * [taylor]: Taking taylor expansion of N in N 6.170 * [taylor]: Taking taylor expansion of 1.0 in N 6.170 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 6.170 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.170 * [taylor]: Taking taylor expansion of N in N 6.170 * [taylor]: Taking taylor expansion of 1.0 in N 6.182 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 6.182 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.182 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.182 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.182 * [taylor]: Taking taylor expansion of N in N 6.182 * [taylor]: Taking taylor expansion of 1.0 in N 6.183 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 6.183 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.183 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.183 * [taylor]: Taking taylor expansion of N in N 6.183 * [taylor]: Taking taylor expansion of 1.0 in N 6.199 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 6.199 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.199 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.199 * [taylor]: Taking taylor expansion of 1.0 in N 6.199 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.199 * [taylor]: Taking taylor expansion of N in N 6.200 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 6.200 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.200 * [taylor]: Taking taylor expansion of 1.0 in N 6.200 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.200 * [taylor]: Taking taylor expansion of N in N 6.214 * * * [progress]: simplifying candidates 6.216 * [simplify]: Simplifying using # : (/ (exp (pow (log (+ N 1.0)) 3)) (exp (pow (log N) 3))) (log (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (* (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (* (* (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (sqrt (- (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 1.0)) (log N)) (- (pow (pow (log (+ N 1.0)) 3) 3) (pow (pow (log N) 3) 3)) (+ (* (pow (log (+ N 1.0)) 3) (pow (log (+ N 1.0)) 3)) (+ (* (pow (log N) 3) (pow (log N) 3)) (* (pow (log (+ N 1.0)) 3) (pow (log N) 3)))) (- (pow (log N) 3)) (- (* (pow (log (+ N 1.0)) 3) (pow (log (+ N 1.0)) 3)) (* (pow (log N) 3) (pow (log N) 3))) (+ (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) (/ 3 2))) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) (/ 3 2))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (- (pow (sqrt (log (+ N 1.0))) 3) (sqrt (pow (log N) 3))) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) (/ 3 2))) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (log N) (/ 3 2))) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (sqrt (log N)) 3)) (+ (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (- (sqrt (pow (log (+ N 1.0)) 3)) (sqrt (pow (log N) 3))) (+ (sqrt (pow (log (+ N 1.0)) 3)) (pow (log N) (/ 3 2))) (- (sqrt (pow (log (+ N 1.0)) 3)) (pow (log N) (/ 3 2))) (+ (pow (log (+ N 1.0)) (/ 3 2)) (pow (sqrt (log N)) 3)) (- (pow (log (+ N 1.0)) (/ 3 2)) (pow (sqrt (log N)) 3)) (+ (pow (log (+ N 1.0)) (/ 3 2)) (pow (sqrt (log N)) 3)) (- (pow (log (+ N 1.0)) (/ 3 2)) (pow (sqrt (log N)) 3)) (+ (pow (log (+ N 1.0)) (/ 3 2)) (sqrt (pow (log N) 3))) (- (pow (log (+ N 1.0)) (/ 3 2)) (sqrt (pow (log N) 3))) (+ (pow (log (+ N 1.0)) (/ 3 2)) (pow (log N) (/ 3 2))) (- (pow (log (+ N 1.0)) (/ 3 2)) (pow (log N) (/ 3 2))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (- (pow (log N) 3)) (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))) (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))) (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))) (- (+ (* 3.0 (* (pow N 2) (log 1.0))) (+ (* 3.0 (* N (pow (log 1.0) 2))) (pow (log 1.0) 3))) (+ (* 3/2 (/ (* (pow N 2) (pow (log 1.0) 2)) (pow 1.0 2))) (pow (log N) 3))) (- (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (pow (log (/ 1 N)) 2) N)) (+ (* 1.0 (/ (pow (log (/ 1 N)) 2) (pow N 3))) (* 3.0 (/ (log (/ 1 N)) (pow N 3)))))) (+ (* 1.5 (/ (pow (log (/ 1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ 1 N)) (pow N 2))))) (- (+ (* 3.0 (/ (pow (log -1) 2) N)) (+ (* 3.0 (/ (log (/ -1 N)) (pow N 3))) (+ (* 1.0 (/ (pow (log -1) 2) (pow N 3))) (+ (* 3.0 (/ (pow (log (/ -1 N)) 2) N)) (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 3.0 (/ (* (log -1) (log (/ -1 N))) (pow N 2))) (+ (* 1.0 (/ (pow (log (/ -1 N)) 2) (pow N 3))) (* 3.0 (/ (log -1) (pow N 2)))))))))) (+ (* 2.0 (/ (* (log -1) (log (/ -1 N))) (pow N 3))) (+ (* 1.5 (/ (pow (log -1) 2) (pow N 2))) (+ (* 3.0 (/ (log -1) (pow N 3))) (+ (* 6.0 (/ (* (log -1) (log (/ -1 N))) N)) (+ (* 1.5 (/ (pow (log (/ -1 N)) 2) (pow N 2))) (* 3.0 (/ (log (/ -1 N)) (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)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 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)))) 6.222 * * [simplify]: iteration 0 : 193 enodes (cost 1673 ) 6.258 * * [simplify]: iteration 1 : 482 enodes (cost 1563 ) 6.379 * * [simplify]: iteration 2 : 1679 enodes (cost 1497 ) 6.756 * * [simplify]: iteration done : 5001 enodes (cost 1497 ) 6.757 * [simplify]: Simplified to: (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (log (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (exp (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (* (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)))) (cbrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (pow (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) 3) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (sqrt (- (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (+ (* (log N) (+ (log N) (log (+ N 1.0)))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (- (log (+ N 1.0)) (log N)) (- (pow (pow (log (+ N 1.0)) 3) 3) (pow (pow (log N) 3) 3)) (+ (* (pow (log N) 3) (+ (pow (log (+ N 1.0)) 3) (pow (log N) 3))) (pow (log (+ N 1.0)) 6)) (- (pow (log N) 3)) (- (pow (log (+ N 1.0)) 6) (pow (log N) 6)) (+ (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (+ (pow (sqrt (log (+ N 1.0))) 3) (pow (sqrt (log N)) 3)) (- (pow (sqrt (log (+ N 1.0))) 3) (pow 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2)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (log N))) (- (+ (log -1) (/ 1.0 N)) (+ (log (/ -1 N)) (/ 0.5 (* N N)))) 6.758 * * * [progress]: adding candidates to table 7.032 * [progress]: [Phase 3 of 3] Extracting. 7.032 * * [regime]: Finding splitpoints for: (# # # # #) 7.033 * * * [regime-changes]: Trying 1 branch expressions: (N) 7.033 * * * * [regimes]: Trying to branch on N from (# # # # #) 7.060 * * * [regime]: Found split indices: #