7.865 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.049 * * * [progress]: [2/2] Setting up program. 0.052 * [progress]: [Phase 2 of 3] Improving. 0.052 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.054 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.055 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.055 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.056 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.059 * * * * [pick]: Picked # 0.059 * * * [progress]: localizing error 0.070 * * * [progress]: generating rewritten candidates 0.070 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.073 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.080 * * * [progress]: generating series expansions 0.081 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.081 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.081 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.081 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [taylor]: Taking taylor expansion of 1.0 in N 0.081 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.081 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [taylor]: Taking taylor expansion of 1.0 in N 0.083 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.083 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.083 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.083 * [taylor]: Taking taylor expansion of 1.0 in N 0.083 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.083 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.083 * [taylor]: Taking taylor expansion of 1.0 in N 0.084 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.084 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.084 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.084 * [taylor]: Taking taylor expansion of 1.0 in N 0.084 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.084 * [taylor]: Taking taylor expansion of N in N 0.084 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.084 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.084 * [taylor]: Taking taylor expansion of 1.0 in N 0.084 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.084 * [taylor]: Taking taylor expansion of N in N 0.085 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.085 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.085 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) 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 0.085 * [taylor]: Taking taylor expansion of (log N) in N 0.085 * [taylor]: Taking taylor expansion of N in N 0.085 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) 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 0.085 * [taylor]: Taking taylor expansion of (log N) in N 0.085 * [taylor]: Taking taylor expansion of N in N 0.086 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.086 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 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 0.087 * [taylor]: Taking taylor expansion of (log (/ 1 N)) 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 (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 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 0.087 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.087 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.087 * [taylor]: Taking taylor expansion of N in N 0.089 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.089 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.089 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.089 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.089 * [taylor]: Taking taylor expansion of 1.0 in N 0.089 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.089 * [taylor]: Taking taylor expansion of N in N 0.089 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.089 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.089 * [taylor]: Taking taylor expansion of -1 in N 0.089 * [taylor]: Taking taylor expansion of N in N 0.089 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.089 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.089 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.089 * [taylor]: Taking taylor expansion of 1.0 in N 0.089 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.089 * [taylor]: Taking taylor expansion of N in N 0.089 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.089 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.089 * [taylor]: Taking taylor expansion of -1 in N 0.089 * [taylor]: Taking taylor expansion of N in N 0.091 * * * [progress]: simplifying candidates 0.091 * [simplify]: Simplifying using # : (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (neg (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (neg (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log (neg 1))) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (log 1) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log (neg 1))) (+ (* 0.5 (/ 1 (pow N 2))) (log -1))) 0.095 * * [simplify]: iteration 0 : 232 enodes (cost 285 ) 0.098 * * [simplify]: iteration 1 : 628 enodes (cost 264 ) 0.107 * * [simplify]: iteration 2 : 2171 enodes (cost 244 ) 0.144 * * [simplify]: iteration 3 : 5001 enodes (cost 244 ) 0.146 * [simplify]: Simplified to: (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0)))) (* (log N) (log N))) (log (/ 1 N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (log (/ 1 N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (+ (/ 1.0 N) (log N)) (/ (/ 0.5 N) N)) (- (+ (/ 1.0 N) (log N)) (/ (/ 0.5 N) N)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (* (/ 1 N) (- 1.0 (/ 0.5 N))) 0.146 * * * [progress]: adding candidates to table 0.267 * * [progress]: iteration 2 / 4 0.267 * * * [progress]: picking best candidate 0.274 * * * * [pick]: Picked # 0.274 * * * [progress]: localizing error 0.279 * * * [progress]: generating rewritten candidates 0.279 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.283 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.290 * * * [progress]: generating series expansions 0.290 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.290 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.290 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.290 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.290 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.290 * [taylor]: Taking taylor expansion of N in N 0.290 * [taylor]: Taking taylor expansion of 1.0 in N 0.290 * [taylor]: Taking taylor expansion of N in N 0.290 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.290 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.290 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.290 * [taylor]: Taking taylor expansion of N in N 0.290 * [taylor]: Taking taylor expansion of 1.0 in N 0.290 * [taylor]: Taking taylor expansion of N in N 0.291 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.291 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.291 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.291 * [taylor]: Taking taylor expansion of N in N 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.291 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.291 * [taylor]: Taking taylor expansion of N in N 0.291 * [taylor]: Taking taylor expansion of 1.0 in N 0.291 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.291 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.291 * [taylor]: Taking taylor expansion of N in N 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.291 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.291 * [taylor]: Taking taylor expansion of N in N 0.291 * [taylor]: Taking taylor expansion of 1.0 in N 0.292 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.292 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.292 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.292 * [taylor]: Taking taylor expansion of -1 in N 0.292 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.292 * [taylor]: Taking taylor expansion of N in N 0.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.292 * [taylor]: Taking taylor expansion of 1.0 in N 0.292 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.292 * [taylor]: Taking taylor expansion of N in N 0.293 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.293 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.293 * [taylor]: Taking taylor expansion of -1 in N 0.293 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.293 * [taylor]: Taking taylor expansion of N in N 0.293 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.293 * [taylor]: Taking taylor expansion of 1.0 in N 0.293 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.293 * [taylor]: Taking taylor expansion of N in N 0.294 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.294 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.294 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.294 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.294 * [taylor]: Taking taylor expansion of N in N 0.294 * [taylor]: Taking taylor expansion of 1.0 in N 0.294 * [taylor]: Taking taylor expansion of N in N 0.294 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.294 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.294 * [taylor]: Taking taylor expansion of N in N 0.294 * [taylor]: Taking taylor expansion of 1.0 in N 0.294 * [taylor]: Taking taylor expansion of N in N 0.295 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.295 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.295 * [taylor]: Taking taylor expansion of N in N 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.295 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.295 * [taylor]: Taking taylor expansion of N in N 0.295 * [taylor]: Taking taylor expansion of 1.0 in N 0.295 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.295 * [taylor]: Taking taylor expansion of N in N 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.295 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.295 * [taylor]: Taking taylor expansion of N in N 0.295 * [taylor]: Taking taylor expansion of 1.0 in N 0.296 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.296 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.296 * [taylor]: Taking taylor expansion of -1 in N 0.296 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.296 * [taylor]: Taking taylor expansion of N in N 0.296 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.296 * [taylor]: Taking taylor expansion of 1.0 in N 0.296 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.296 * [taylor]: Taking taylor expansion of N in N 0.296 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.296 * [taylor]: Taking taylor expansion of -1 in N 0.296 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.296 * [taylor]: Taking taylor expansion of N in N 0.296 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.296 * [taylor]: Taking taylor expansion of 1.0 in N 0.296 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.296 * [taylor]: Taking taylor expansion of N in N 0.298 * * * [progress]: simplifying candidates 0.299 * [simplify]: Simplifying using # : (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (neg (+ N 1.0)) (neg N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.302 * * [simplify]: iteration 0 : 221 enodes (cost 370 ) 0.306 * * [simplify]: iteration 1 : 736 enodes (cost 343 ) 0.318 * * [simplify]: iteration 2 : 3220 enodes (cost 333 ) 0.386 * * [simplify]: iteration 3 : 5002 enodes (cost 333 ) 0.389 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (neg (+ N 1.0)) (neg N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.389 * * * [progress]: adding candidates to table 0.543 * * [progress]: iteration 3 / 4 0.543 * * * [progress]: picking best candidate 0.553 * * * * [pick]: Picked # 0.553 * * * [progress]: localizing error 0.560 * * * [progress]: generating rewritten candidates 0.560 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.565 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.569 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.575 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.581 * * * [progress]: generating series expansions 0.581 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.581 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.581 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.581 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.581 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.581 * [taylor]: Taking taylor expansion of N in N 0.581 * [taylor]: Taking taylor expansion of 1.0 in N 0.581 * [taylor]: Taking taylor expansion of N in N 0.581 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.581 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.581 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.581 * [taylor]: Taking taylor expansion of N in N 0.581 * [taylor]: Taking taylor expansion of 1.0 in N 0.581 * [taylor]: Taking taylor expansion of N in N 0.582 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.582 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.582 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.582 * [taylor]: Taking taylor expansion of N in N 0.582 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.582 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.582 * [taylor]: Taking taylor expansion of N in N 0.582 * [taylor]: Taking taylor expansion of 1.0 in N 0.582 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.583 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.583 * [taylor]: Taking taylor expansion of N in N 0.583 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.583 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.583 * [taylor]: Taking taylor expansion of N in N 0.583 * [taylor]: Taking taylor expansion of 1.0 in N 0.583 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.583 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.583 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.583 * [taylor]: Taking taylor expansion of -1 in N 0.583 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.583 * [taylor]: Taking taylor expansion of N in N 0.584 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.584 * [taylor]: Taking taylor expansion of 1.0 in N 0.584 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.584 * [taylor]: Taking taylor expansion of N in N 0.584 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.584 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.584 * [taylor]: Taking taylor expansion of -1 in N 0.584 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.584 * [taylor]: Taking taylor expansion of N in N 0.584 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.584 * [taylor]: Taking taylor expansion of 1.0 in N 0.584 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.584 * [taylor]: Taking taylor expansion of N in N 0.585 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.585 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.585 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.585 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.585 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.585 * [taylor]: Taking taylor expansion of N in N 0.585 * [taylor]: Taking taylor expansion of 1.0 in N 0.585 * [taylor]: Taking taylor expansion of N in N 0.585 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.585 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.585 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.585 * [taylor]: Taking taylor expansion of N in N 0.585 * [taylor]: Taking taylor expansion of 1.0 in N 0.585 * [taylor]: Taking taylor expansion of N in N 0.586 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.586 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.586 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.586 * [taylor]: Taking taylor expansion of N in N 0.586 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.586 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.586 * [taylor]: Taking taylor expansion of N in N 0.586 * [taylor]: Taking taylor expansion of 1.0 in N 0.586 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.586 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.586 * [taylor]: Taking taylor expansion of N in N 0.586 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.586 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.586 * [taylor]: Taking taylor expansion of N in N 0.586 * [taylor]: Taking taylor expansion of 1.0 in N 0.587 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.587 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.587 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.587 * [taylor]: Taking taylor expansion of -1 in N 0.587 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.587 * [taylor]: Taking taylor expansion of N in N 0.587 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.587 * [taylor]: Taking taylor expansion of 1.0 in N 0.587 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.587 * [taylor]: Taking taylor expansion of N in N 0.587 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.587 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.587 * [taylor]: Taking taylor expansion of -1 in N 0.587 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.588 * [taylor]: Taking taylor expansion of N in N 0.588 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.588 * [taylor]: Taking taylor expansion of 1.0 in N 0.588 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.588 * [taylor]: Taking taylor expansion of N in N 0.588 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.589 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.589 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.589 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.589 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.589 * [taylor]: Taking taylor expansion of N in N 0.589 * [taylor]: Taking taylor expansion of 1.0 in N 0.589 * [taylor]: Taking taylor expansion of N in N 0.589 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.589 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.589 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.589 * [taylor]: Taking taylor expansion of N in N 0.589 * [taylor]: Taking taylor expansion of 1.0 in N 0.589 * [taylor]: Taking taylor expansion of N in N 0.590 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.590 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.590 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.590 * [taylor]: Taking taylor expansion of N in N 0.590 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.590 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.590 * [taylor]: Taking taylor expansion of N in N 0.590 * [taylor]: Taking taylor expansion of 1.0 in N 0.590 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.590 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.590 * [taylor]: Taking taylor expansion of N in N 0.590 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.590 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.590 * [taylor]: Taking taylor expansion of N in N 0.590 * [taylor]: Taking taylor expansion of 1.0 in N 0.591 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.591 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.591 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.591 * [taylor]: Taking taylor expansion of -1 in N 0.591 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.591 * [taylor]: Taking taylor expansion of N in N 0.591 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.591 * [taylor]: Taking taylor expansion of 1.0 in N 0.591 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.591 * [taylor]: Taking taylor expansion of N in N 0.591 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.591 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.591 * [taylor]: Taking taylor expansion of -1 in N 0.591 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.591 * [taylor]: Taking taylor expansion of N in N 0.592 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.592 * [taylor]: Taking taylor expansion of 1.0 in N 0.592 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.592 * [taylor]: Taking taylor expansion of N in N 0.592 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.593 * [approximate]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in (N) around 0 0.593 * [taylor]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in N 0.593 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.593 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.593 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.593 * [taylor]: Taking taylor expansion of N in N 0.593 * [taylor]: Taking taylor expansion of 1.0 in N 0.593 * [taylor]: Taking taylor expansion of N in N 0.593 * [taylor]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in N 0.593 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.593 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.593 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.593 * [taylor]: Taking taylor expansion of N in N 0.593 * [taylor]: Taking taylor expansion of 1.0 in N 0.593 * [taylor]: Taking taylor expansion of N in N 0.595 * [approximate]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.595 * [taylor]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in N 0.595 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.595 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.595 * [taylor]: Taking taylor expansion of N in N 0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.595 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.595 * [taylor]: Taking taylor expansion of N in N 0.595 * [taylor]: Taking taylor expansion of 1.0 in N 0.596 * [taylor]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in N 0.596 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.596 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.596 * [taylor]: Taking taylor expansion of N in N 0.596 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.596 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.596 * [taylor]: Taking taylor expansion of N in N 0.596 * [taylor]: Taking taylor expansion of 1.0 in N 0.597 * [approximate]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.597 * [taylor]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.597 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.597 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.597 * [taylor]: Taking taylor expansion of -1 in N 0.597 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.597 * [taylor]: Taking taylor expansion of N in N 0.597 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.597 * [taylor]: Taking taylor expansion of 1.0 in N 0.597 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.597 * [taylor]: Taking taylor expansion of N in N 0.598 * [taylor]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.598 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.598 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.598 * [taylor]: Taking taylor expansion of -1 in N 0.598 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.598 * [taylor]: Taking taylor expansion of N in N 0.598 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.598 * [taylor]: Taking taylor expansion of 1.0 in N 0.598 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.598 * [taylor]: Taking taylor expansion of N in N 0.599 * * * [progress]: simplifying candidates 0.601 * [simplify]: Simplifying using # : (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (+ 1 1) (+ (log (sqrt (log (/ (+ N 1.0) N)))) (log (sqrt (log (/ (+ N 1.0) N))))) (log (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))))) (exp (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))))) (* (* (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 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(log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt 1)) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (sqrt (log (/ (+ N 1.0) N))))) (* (sqrt (log (/ (+ N 1.0) N))) 1) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (log (sqrt (log (/ (+ N 1.0) N)))) (exp (sqrt (log (/ (+ N 1.0) N)))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (cbrt (sqrt (log (/ (+ N 1.0) N)))) (* (* (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (sqrt 1) (sqrt (log (/ (+ N 1.0) N))) (sqrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt 1) (sqrt (log (/ (+ N 1.0) N))) (/ 1 2) (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 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 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (sqrt (- (log 1.0) (log N))) (* 0.5 (* N (sqrt (/ 1 (- (log 1.0) (log N))))))) (+ (* 1/4 (* (/ (pow N 2) (pow 1.0 2)) (sqrt (/ 1 (- (log 1.0) (log N)))))) (* 0.125 (* (pow N 2) (sqrt (/ 1 (pow (- (log 1.0) (log N)) 3))))))) (- (+ (sqrt (log 1)) (* 0.5 (* (sqrt (/ 1 (log 1))) (/ 1 N)))) (+ (* 0.25 (* (sqrt (/ 1 (log 1))) (/ 1 (pow N 2)))) (* 0.125 (* (sqrt (/ 1 (pow (log 1) 3))) (/ 1 (pow N 2)))))) (- (+ (sqrt (log 1)) (* 0.5 (* (sqrt (/ 1 (log 1))) (/ 1 N)))) (+ (* 0.25 (* (sqrt (/ 1 (log 1))) (/ 1 (pow N 2)))) (* 0.125 (* (sqrt (/ 1 (pow (log 1) 3))) (/ 1 (pow N 2)))))) 0.607 * * [simplify]: iteration 0 : 325 enodes (cost 909 ) 0.614 * * [simplify]: iteration 1 : 1303 enodes (cost 815 ) 0.640 * * [simplify]: iteration 2 : 5001 enodes (cost 747 ) 0.646 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (- 0 (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- 0 (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (- 0 (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- 0 (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) 1 1 2 1 1 (pow (sqrt (log (/ (+ N 1.0) N))) 4) (log (/ (+ N 1.0) N)) (pow (sqrt (log (/ (+ N 1.0) N))) 4) 2 (log (log (/ (+ N 1.0) N))) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (pow (log (/ (+ N 1.0) N)) 3) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (pow (sqrt (log (/ (+ N 1.0) N))) 4) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (pow (cbrt (sqrt (log (/ (+ N 1.0) N)))) 4) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) 1 (log (/ (+ N 1.0) N)) 1 (log (/ (+ N 1.0) N)) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) 1 (log (/ (+ N 1.0) N)) 1 (log (/ (+ N 1.0) N)) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) 1 (log (/ (+ N 1.0) N)) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) 1 2 1 (* (pow (cbrt (sqrt (log (/ (+ N 1.0) N)))) 4) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (sqrt (log (/ (+ N 1.0) N))) (* (fabs (cbrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (pow (sqrt (sqrt (log (/ (+ N 1.0) N)))) 3) (sqrt (log (/ (+ N 1.0) N))) (pow (sqrt (sqrt (log (/ (+ N 1.0) N)))) 3) (sqrt (log (/ (+ N 1.0) N))) (pow (cbrt (sqrt (log (/ (+ N 1.0) N)))) 4) (log (/ (+ N 1.0) N)) (* (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (log (/ (+ N 1.0) N)))) (pow (sqrt (sqrt (log (/ (+ N 1.0) N)))) 3) (log (/ (+ N 1.0) N)) (pow (sqrt (sqrt (log (/ (+ N 1.0) N)))) 3) (log (/ (+ N 1.0) N)) (log (sqrt (log (/ (+ N 1.0) N)))) (exp (sqrt (log (/ (+ N 1.0) N)))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) (cbrt (sqrt (log (/ (+ N 1.0) N)))) (pow (sqrt (log (/ (+ N 1.0) N))) 3) 1 (sqrt (log (/ (+ N 1.0) N))) (fabs (cbrt (log (/ (+ N 1.0) N)))) (sqrt (cbrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N)))) 1 (sqrt (log (/ (+ N 1.0) N))) 1/2 (sqrt (sqrt (log (/ (+ N 1.0) N)))) (sqrt (sqrt (log (/ (+ N 1.0) N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (- (* (sqrt (/ 1 (- (log 1.0) (log N)))) (- (* 0.5 N) (* 1/4 (/ (pow N 2) (pow 1.0 2))))) (- (* 0.125 (* (pow N 2) (sqrt (/ 1 (pow (- (log 1.0) (log N)) 3))))) (sqrt (- (log 1.0) (log N))))) (- (/ (* 0.5 (sqrt (/ 1 (log 1)))) N) (- (* (/ (/ (sqrt (/ 1 (log 1))) N) N) (+ 0.125 0.25)) (sqrt (log 1)))) (- (/ (* 0.5 (sqrt (/ 1 (log 1)))) N) (- (* (/ (/ (sqrt (/ 1 (log 1))) N) N) (+ 0.125 0.25)) (sqrt (log 1)))) 0.646 * * * [progress]: adding candidates to table 0.944 * * [progress]: iteration 4 / 4 0.944 * * * [progress]: picking best candidate 0.959 * * * * [pick]: Picked # 0.960 * * * [progress]: localizing error 0.972 * * * [progress]: generating rewritten candidates 0.972 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 0.976 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.980 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.983 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.988 * * * [progress]: generating series expansions 0.988 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 0.988 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.988 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.988 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.988 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.988 * [taylor]: Taking taylor expansion of N in N 0.989 * [taylor]: Taking taylor expansion of 1.0 in N 0.989 * [taylor]: Taking taylor expansion of N in N 0.989 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.989 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.989 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.989 * [taylor]: Taking taylor expansion of N in N 0.989 * [taylor]: Taking taylor expansion of 1.0 in N 0.989 * [taylor]: Taking taylor expansion of N in N 0.990 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.990 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.990 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.990 * [taylor]: Taking taylor expansion of N in N 0.990 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.990 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.990 * [taylor]: Taking taylor expansion of N in N 0.990 * [taylor]: Taking taylor expansion of 1.0 in N 0.990 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.990 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.990 * [taylor]: Taking taylor expansion of N in N 0.990 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.990 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.990 * [taylor]: Taking taylor expansion of N in N 0.990 * [taylor]: Taking taylor expansion of 1.0 in N 0.991 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.991 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.991 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.991 * [taylor]: Taking taylor expansion of -1 in N 0.991 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.991 * [taylor]: Taking taylor expansion of N in N 0.991 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.991 * [taylor]: Taking taylor expansion of 1.0 in N 0.991 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.991 * [taylor]: Taking taylor expansion of N in N 0.991 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.991 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.991 * [taylor]: Taking taylor expansion of -1 in N 0.991 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.991 * [taylor]: Taking taylor expansion of N in N 0.991 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.991 * [taylor]: Taking taylor expansion of 1.0 in N 0.991 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.991 * [taylor]: Taking taylor expansion of N in N 0.992 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.992 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.992 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.992 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.992 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.992 * [taylor]: Taking taylor expansion of N in N 0.992 * [taylor]: Taking taylor expansion of 1.0 in N 0.992 * [taylor]: Taking taylor expansion of N in N 0.992 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.992 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.992 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.992 * [taylor]: Taking taylor expansion of N in N 0.992 * [taylor]: Taking taylor expansion of 1.0 in N 0.992 * [taylor]: Taking taylor expansion of N in N 0.993 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.993 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.993 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.993 * [taylor]: Taking taylor expansion of N in N 0.993 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.993 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.993 * [taylor]: Taking taylor expansion of N in N 0.993 * [taylor]: Taking taylor expansion of 1.0 in N 0.993 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.994 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.994 * [taylor]: Taking taylor expansion of N in N 0.994 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.994 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.994 * [taylor]: Taking taylor expansion of N in N 0.994 * [taylor]: Taking taylor expansion of 1.0 in N 0.994 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.994 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.994 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.994 * [taylor]: Taking taylor expansion of -1 in N 0.994 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.994 * [taylor]: Taking taylor expansion of N in N 0.995 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.995 * [taylor]: Taking taylor expansion of 1.0 in N 0.995 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.995 * [taylor]: Taking taylor expansion of N in N 0.995 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.995 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.995 * [taylor]: Taking taylor expansion of -1 in N 0.995 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.995 * [taylor]: Taking taylor expansion of N in N 0.995 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.995 * [taylor]: Taking taylor expansion of 1.0 in N 0.995 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.995 * [taylor]: Taking taylor expansion of N in N 0.996 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.996 * [approximate]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in (N) around 0 0.996 * [taylor]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in N 0.996 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.996 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.996 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.996 * [taylor]: Taking taylor expansion of N in N 0.996 * [taylor]: Taking taylor expansion of 1.0 in N 0.996 * [taylor]: Taking taylor expansion of N in N 0.996 * [taylor]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in N 0.996 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.996 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.996 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.996 * [taylor]: Taking taylor expansion of N in N 0.996 * [taylor]: Taking taylor expansion of 1.0 in N 0.996 * [taylor]: Taking taylor expansion of N in N 0.998 * [approximate]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.998 * [taylor]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in N 0.998 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.998 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.998 * [taylor]: Taking taylor expansion of N in N 0.998 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.998 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.998 * [taylor]: Taking taylor expansion of N in N 0.998 * [taylor]: Taking taylor expansion of 1.0 in N 0.999 * [taylor]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in N 0.999 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.999 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.999 * [taylor]: Taking taylor expansion of N in N 0.999 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.999 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.999 * [taylor]: Taking taylor expansion of N in N 0.999 * [taylor]: Taking taylor expansion of 1.0 in N 1.000 * [approximate]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 1.000 * [taylor]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.000 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.000 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.000 * [taylor]: Taking taylor expansion of -1 in N 1.000 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.000 * [taylor]: Taking taylor expansion of N in N 1.000 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.000 * [taylor]: Taking taylor expansion of 1.0 in N 1.000 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.000 * [taylor]: Taking taylor expansion of N in N 1.001 * [taylor]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.001 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.001 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.001 * [taylor]: Taking taylor expansion of -1 in N 1.001 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.001 * [taylor]: Taking taylor expansion of N in N 1.001 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.001 * [taylor]: Taking taylor expansion of 1.0 in N 1.001 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.001 * [taylor]: Taking taylor expansion of N in N 1.002 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.003 * [approximate]: Taking taylor expansion of (exp (sqrt (log (/ (+ N 1.0) N)))) in (N) around 0 1.003 * [taylor]: Taking taylor expansion of (exp (sqrt (log (/ (+ N 1.0) N)))) in N 1.003 * [taylor]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in N 1.003 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.003 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.003 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.003 * [taylor]: Taking taylor expansion of N in N 1.003 * [taylor]: Taking taylor expansion of 1.0 in N 1.003 * [taylor]: Taking taylor expansion of N in N 1.003 * [taylor]: Taking taylor expansion of (exp (sqrt (log (/ (+ N 1.0) N)))) in N 1.003 * [taylor]: Taking taylor expansion of (sqrt (log (/ (+ N 1.0) N))) in N 1.003 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.003 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.003 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.003 * [taylor]: Taking taylor expansion of N in N 1.003 * [taylor]: Taking taylor expansion of 1.0 in N 1.003 * [taylor]: Taking taylor expansion of N in N 1.006 * [approximate]: Taking taylor expansion of (exp (sqrt (log (* N (+ (/ 1 N) 1.0))))) in (N) around 0 1.006 * [taylor]: Taking taylor expansion of (exp (sqrt (log (* N (+ (/ 1 N) 1.0))))) in N 1.006 * [taylor]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in N 1.006 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.006 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.006 * [taylor]: Taking taylor expansion of N in N 1.006 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.006 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.006 * [taylor]: Taking taylor expansion of N in N 1.007 * [taylor]: Taking taylor expansion of 1.0 in N 1.007 * [taylor]: Taking taylor expansion of (exp (sqrt (log (* N (+ (/ 1 N) 1.0))))) in N 1.007 * [taylor]: Taking taylor expansion of (sqrt (log (* N (+ (/ 1 N) 1.0)))) in N 1.007 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.007 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.007 * [taylor]: Taking taylor expansion of N in N 1.007 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.007 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.007 * [taylor]: Taking taylor expansion of N in N 1.007 * [taylor]: Taking taylor expansion of 1.0 in N 1.009 * [approximate]: Taking taylor expansion of (exp (sqrt (log (* -1 (* N (- 1.0 (/ 1 N))))))) in (N) around 0 1.009 * [taylor]: Taking taylor expansion of (exp (sqrt (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.009 * [taylor]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.009 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.009 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.009 * [taylor]: Taking taylor expansion of -1 in N 1.009 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.009 * [taylor]: Taking taylor expansion of N in N 1.009 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.009 * [taylor]: Taking taylor expansion of 1.0 in N 1.010 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.010 * [taylor]: Taking taylor expansion of N in N 1.010 * [taylor]: Taking taylor expansion of (exp (sqrt (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.010 * [taylor]: Taking taylor expansion of (sqrt (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.010 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.010 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.010 * [taylor]: Taking taylor expansion of -1 in N 1.010 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.010 * [taylor]: Taking taylor expansion of N in N 1.010 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.010 * [taylor]: Taking taylor expansion of 1.0 in N 1.010 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.010 * [taylor]: Taking taylor expansion of N in N 1.013 * * * [progress]: simplifying candidates 1.014 * [simplify]: Simplifying using # : (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (log (* (cbrt (exp (sqrt (log (/ (+ N 1.0) N))))) (cbrt (exp (sqrt (log (/ (+ N 1.0) N))))))) (log (cbrt (exp (sqrt (log (/ (+ N 1.0) N)))))) (log (sqrt (exp (sqrt (log (/ (+ N 1.0) N)))))) (log (sqrt (exp (sqrt (log (/ (+ N 1.0) N)))))) (log 1) (log (exp (sqrt (log (/ (+ N 1.0) N))))) (log (exp (sqrt (log (/ (+ N 1.0) N))))) (log (exp (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))))) (log (exp (sqrt 1))) (log (exp (sqrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))))) (log (exp (sqrt (sqrt (log (/ (+ N 1.0) N)))))) (log (exp (sqrt 1))) (log (exp (sqrt (sqrt (log (/ (+ N 1.0) N)))))) (log (exp 1)) (log (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (exp (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (* (cbrt (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (cbrt (log (exp (sqrt (log (/ (+ N 1.0) N))))))) (cbrt (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (* (* (log (exp (sqrt (log (/ (+ N 1.0) N))))) (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (sqrt (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (sqrt (log (exp (sqrt (log (/ (+ N 1.0) N)))))) (exp (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N)))))) (exp (sqrt 1)) (exp (sqrt (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))))) (exp (sqrt (sqrt (log (/ (+ N 1.0) N))))) (exp (sqrt 1)) (exp (sqrt (sqrt (log (/ (+ N 1.0) N))))) (exp 1) (log (exp (sqrt (log (/ (+ N 1.0) N))))) (exp (exp (sqrt (log (/ (+ N 1.0) N))))) (* (cbrt (exp (sqrt (log (/ (+ N 1.0) N))))) (cbrt (exp (sqrt (log (/ (+ N 1.0) N)))))) (cbrt (exp (sqrt (log (/ (+ N 1.0) N))))) (* (* (exp (sqrt (log (/ (+ N 1.0) N)))) (exp (sqrt (log (/ (+ N 1.0) N))))) (exp (sqrt (log (/ (+ N 1.0) N))))) (sqrt (exp (sqrt (log (/ (+ N 1.0) N))))) (sqrt (exp (sqrt (log (/ (+ N 1.0) N))))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 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 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (log 1)) (* 0.5 (/ 1 (pow N 2)))) (- (+ (sqrt (- (log 1.0) (log N))) (* 0.5 (* N (sqrt (/ 1 (- (log 1.0) (log N))))))) (+ (* 1/4 (* (/ (pow N 2) (pow 1.0 2)) (sqrt (/ 1 (- (log 1.0) (log N)))))) (* 0.125 (* (pow N 2) (sqrt (/ 1 (pow (- (log 1.0) (log N)) 3))))))) (- (+ (sqrt (log 1)) (* 0.5 (* (sqrt (/ 1 (log 1))) (/ 1 N)))) (+ (* 0.25 (* (sqrt (/ 1 (log 1))) (/ 1 (pow N 2)))) (* 0.125 (* (sqrt (/ 1 (pow (log 1) 3))) (/ 1 (pow N 2)))))) (- (+ (sqrt (log 1)) (* 0.5 (* (sqrt (/ 1 (log 1))) (/ 1 N)))) (+ (* 0.25 (* (sqrt (/ 1 (log 1))) (/ 1 (pow N 2)))) (* 0.125 (* (sqrt (/ 1 (pow (log 1) 3))) (/ 1 (pow N 2)))))) (- (+ (* 0.5 (* (* N (exp (sqrt (- (log 1.0) (log N))))) (sqrt (/ 1 (- (log 1.0) (log N)))))) (+ (* 0.125 (/ (* (pow N 2) (exp (sqrt (- (log 1.0) (log N))))) (- (log 1.0) (log N)))) (exp (sqrt (- (log 1.0) (log N)))))) (+ (* 1/4 (* (/ (* (pow N 2) (exp (sqrt (- (log 1.0) (log N))))) (pow 1.0 2)) (sqrt (/ 1 (- (log 1.0) (log N)))))) (* 0.125 (* (* (pow N 2) (exp (sqrt (- (log 1.0) (log N))))) (sqrt (/ 1 (pow (- (log 1.0) (log N)) 3))))))) (- (+ (* 0.5 (* (sqrt (/ 1 (log 1))) (/ (exp (sqrt (log 1))) N))) (+ (* 0.125 (/ (exp (sqrt (log 1))) (* (log 1) (pow N 2)))) (exp (sqrt (log 1))))) (+ (* 0.25 (* (sqrt (/ 1 (log 1))) (/ (exp (sqrt (log 1))) (pow N 2)))) (* 0.125 (* (sqrt (/ 1 (pow (log 1) 3))) (/ (exp (sqrt (log 1))) (pow N 2)))))) (- (+ (* 0.5 (* (sqrt (/ 1 (log 1))) (/ (exp (sqrt (log 1))) N))) (+ (* 0.125 (/ (exp (sqrt (log 1))) (* (log 1) (pow N 2)))) (exp (sqrt (log 1))))) (+ (* 0.25 (* (sqrt (/ 1 (log 1))) (/ (exp (sqrt (log 1))) (pow N 2)))) (* 0.125 (* (sqrt (/ 1 (pow (log 1) 3))) (/ (exp (sqrt (log 1))) (pow N 2)))))) 1.020 * * [simplify]: iteration 0 : 390 enodes (cost 874 ) 1.026 * * [simplify]: iteration 1 : 1185 enodes (cost 790 ) 1.046 * * [simplify]: iteration 2 : 5001 enodes (cost 725 ) 1.051 * [simplify]: Simplified to: (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (- 0 (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- 0 (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (- 0 (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- 0 (* 2 (log (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (exp (sqrt (log (/ (+ N 1.0) N))))))) (log (cbrt (exp (sqrt (log (/ (+ N 1.0) N)))))) (log (sqrt (exp (sqrt (log (/ (+ N 1.0) N)))))) (log (sqrt (exp (sqrt (log (/ (+ N 1.0) N)))))) 0 (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (* (cbrt (sqrt (log (/ (+ N 1.0) N)))) (cbrt (sqrt (log (/ (+ N 1.0) N))))) 1 (fabs (cbrt (log (/ (+ N 1.0) 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(pow N 2) (pow 1.0 2))) (log N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (- (* (sqrt (/ 1 (- (log 1.0) (log N)))) (- (* 0.5 N) (* 1/4 (/ (pow N 2) (pow 1.0 2))))) (- (* 0.125 (* (pow N 2) (sqrt (/ 1 (pow (- (log 1.0) (log N)) 3))))) (sqrt (- (log 1.0) (log N))))) (- (/ (* 0.5 (sqrt (/ 1 (log 1)))) N) (- (* (/ (/ (sqrt (/ 1 (log 1))) N) N) (+ 0.125 0.25)) (sqrt (log 1)))) (- (/ (* 0.5 (sqrt (/ 1 (log 1)))) N) (- (* (/ (/ (sqrt (/ 1 (log 1))) N) N) (+ 0.125 0.25)) (sqrt (log 1)))) (+ (+ (* 0.125 (/ (* (pow N 2) (exp (sqrt (- (log 1.0) (log N))))) (- (log 1.0) (log N)))) (exp (sqrt (- (log 1.0) (log N))))) (+ (* (sqrt (/ 1 (- (log 1.0) (log N)))) (- (* 0.5 (* N (exp (sqrt (- (log 1.0) (log N)))))) (* 1/4 (/ (* (pow N 2) (exp (sqrt (- (log 1.0) (log N))))) (pow 1.0 2))))) (neg (* 0.125 (* (* (pow N 2) (exp (sqrt (- (log 1.0) (log N))))) (sqrt (/ 1 (pow (- (log 1.0) (log N)) 3)))))))) (+ (exp (sqrt (log 1))) (- (+ (* (/ 0.125 (pow N 2)) (/ (exp (sqrt (log 1))) 0)) (* 0.5 (* (sqrt (/ 1 (log 1))) (/ (exp (sqrt (log 1))) N)))) (* (* (sqrt (/ 1 (log 1))) (/ (exp (sqrt (log 1))) (pow N 2))) (+ 0.125 0.25)))) (+ (exp (sqrt (log 1))) (- (+ (* (/ 0.125 (pow N 2)) (/ (exp (sqrt (log 1))) 0)) (* 0.5 (* (sqrt (/ 1 (log 1))) (/ (exp (sqrt (log 1))) N)))) (* (* (sqrt (/ 1 (log 1))) (/ (exp (sqrt (log 1))) (pow N 2))) (+ 0.125 0.25)))) 1.051 * * * [progress]: adding candidates to table 1.521 * [progress]: [Phase 3 of 3] Extracting. 1.521 * * [regime]: Finding splitpoints for: (# # # # # #) 1.521 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.521 * * * * [regimes]: Trying to branch on N from (# # # # # #) 1.568 * * * [regime]: Found split indices: #