15.093 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.040 * * * [progress]: [2/2] Setting up program. 0.042 * [progress]: [Phase 2 of 3] Improving. 0.042 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.045 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.046 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.047 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.047 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.047 * * [progress]: iteration 1 / 4 0.047 * * * [progress]: picking best candidate 0.049 * * * * [pick]: Picked # 0.049 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.058 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.065 * * * [progress]: generating series expansions 0.065 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.065 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.065 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.065 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.065 * [taylor]: Taking taylor expansion of N in N 0.065 * [taylor]: Taking taylor expansion of 1.0 in N 0.066 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.066 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.066 * [taylor]: Taking taylor expansion of N in N 0.066 * [taylor]: Taking taylor expansion of 1.0 in N 0.079 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.079 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.079 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.079 * [taylor]: Taking taylor expansion of N in N 0.080 * [taylor]: Taking taylor expansion of 1.0 in N 0.080 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.080 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.080 * [taylor]: Taking taylor expansion of N in N 0.081 * [taylor]: Taking taylor expansion of 1.0 in N 0.097 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.097 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.097 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.097 * [taylor]: Taking taylor expansion of 1.0 in N 0.097 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.097 * [taylor]: Taking taylor expansion of N in N 0.098 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.098 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.098 * [taylor]: Taking taylor expansion of 1.0 in N 0.098 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.098 * [taylor]: Taking taylor expansion of N in N 0.112 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.112 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.112 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.112 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.112 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.112 * [taylor]: Taking taylor expansion of N in N 0.112 * [taylor]: Taking taylor expansion of 1.0 in N 0.113 * [taylor]: Taking taylor expansion of (log N) in N 0.113 * [taylor]: Taking taylor expansion of N in N 0.113 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.113 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.113 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.113 * [taylor]: Taking taylor expansion of N in N 0.113 * [taylor]: Taking taylor expansion of 1.0 in N 0.113 * [taylor]: Taking taylor expansion of (log N) in N 0.114 * [taylor]: Taking taylor expansion of N in N 0.131 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.131 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.131 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.132 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.132 * [taylor]: Taking taylor expansion of N in N 0.132 * [taylor]: Taking taylor expansion of 1.0 in N 0.132 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.132 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.132 * [taylor]: Taking taylor expansion of N in N 0.133 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.133 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.133 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.133 * [taylor]: Taking taylor expansion of N in N 0.133 * [taylor]: Taking taylor expansion of 1.0 in N 0.134 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.134 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.134 * [taylor]: Taking taylor expansion of N in N 0.164 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.164 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.164 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.164 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.164 * [taylor]: Taking taylor expansion of 1.0 in N 0.164 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.165 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.165 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.165 * [taylor]: Taking taylor expansion of -1 in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.168 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.168 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.168 * [taylor]: Taking taylor expansion of 1.0 in N 0.168 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.169 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.169 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.169 * [taylor]: Taking taylor expansion of -1 in N 0.170 * [taylor]: Taking taylor expansion of N in N 0.203 * * * [progress]: simplifying candidates 0.204 * [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)))) (- (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)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 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)))) 0.208 * * [simplify]: iteration 0 : 212 enodes (cost 281 ) 0.211 * * [simplify]: iteration 1 : 547 enodes (cost 264 ) 0.220 * * [simplify]: iteration 2 : 1874 enodes (cost 250 ) 0.256 * * [simplify]: iteration 3 : 5001 enodes (cost 247 ) 0.257 * [simplify]: Simplified to: (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (+ (log N) (log (+ N 1.0)))) (* (log N) (log N))) (log (/ 1 N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (log (/ 1 N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) 0.257 * * * [progress]: adding candidates to table 0.354 * * [progress]: iteration 2 / 4 0.354 * * * [progress]: picking best candidate 0.361 * * * * [pick]: Picked # 0.361 * * * [progress]: localizing error 0.366 * * * [progress]: generating rewritten candidates 0.366 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.369 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.378 * * * [progress]: generating series expansions 0.379 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.379 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.379 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.379 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.379 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.379 * [taylor]: Taking taylor expansion of N in N 0.379 * [taylor]: Taking taylor expansion of 1.0 in N 0.379 * [taylor]: Taking taylor expansion of N in N 0.380 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.380 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.380 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.380 * [taylor]: Taking taylor expansion of N in N 0.380 * [taylor]: Taking taylor expansion of 1.0 in N 0.380 * [taylor]: Taking taylor expansion of N in N 0.393 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.393 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.393 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.393 * [taylor]: Taking taylor expansion of N in N 0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.393 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.393 * [taylor]: Taking taylor expansion of N in N 0.394 * [taylor]: Taking taylor expansion of 1.0 in N 0.395 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.395 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.395 * [taylor]: Taking taylor expansion of N in N 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.395 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.396 * [taylor]: Taking taylor expansion of N in N 0.396 * [taylor]: Taking taylor expansion of 1.0 in N 0.425 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.425 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.425 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.425 * [taylor]: Taking taylor expansion of -1 in N 0.425 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.425 * [taylor]: Taking taylor expansion of N in N 0.425 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.425 * [taylor]: Taking taylor expansion of 1.0 in N 0.425 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.425 * [taylor]: Taking taylor expansion of N in N 0.429 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.429 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.429 * [taylor]: Taking taylor expansion of -1 in N 0.429 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.429 * [taylor]: Taking taylor expansion of N in N 0.429 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.429 * [taylor]: Taking taylor expansion of 1.0 in N 0.429 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.429 * [taylor]: Taking taylor expansion of N in N 0.461 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.461 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.461 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.461 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.461 * [taylor]: Taking taylor expansion of N in N 0.461 * [taylor]: Taking taylor expansion of 1.0 in N 0.461 * [taylor]: Taking taylor expansion of N in N 0.462 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.462 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.462 * [taylor]: Taking taylor expansion of N in N 0.462 * [taylor]: Taking taylor expansion of 1.0 in N 0.462 * [taylor]: Taking taylor expansion of N in N 0.468 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.468 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.468 * [taylor]: Taking taylor expansion of N in N 0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.468 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.468 * [taylor]: Taking taylor expansion of N in N 0.469 * [taylor]: Taking taylor expansion of 1.0 in N 0.469 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.469 * [taylor]: Taking taylor expansion of N in N 0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.469 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.469 * [taylor]: Taking taylor expansion of N in N 0.469 * [taylor]: Taking taylor expansion of 1.0 in N 0.482 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.482 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.482 * [taylor]: Taking taylor expansion of -1 in N 0.482 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.482 * [taylor]: Taking taylor expansion of N in N 0.482 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.482 * [taylor]: Taking taylor expansion of 1.0 in N 0.482 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.482 * [taylor]: Taking taylor expansion of N in N 0.483 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.483 * [taylor]: Taking taylor expansion of -1 in N 0.483 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.483 * [taylor]: Taking taylor expansion of N in N 0.483 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.483 * [taylor]: Taking taylor expansion of 1.0 in N 0.483 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.483 * [taylor]: Taking taylor expansion of N in N 0.509 * * * [progress]: simplifying candidates 0.510 * [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) 0.514 * * [simplify]: iteration 0 : 233 enodes (cost 373 ) 0.519 * * [simplify]: iteration 1 : 773 enodes (cost 351 ) 0.532 * * [simplify]: iteration 2 : 3489 enodes (cost 339 ) 0.609 * * [simplify]: iteration 3 : 5002 enodes (cost 339 ) 0.611 * [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)) (- (+ 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)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* (+ (* 1.0 (- 1.0 N)) (pow N 2)) N) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.611 * * * [progress]: adding candidates to table 0.715 * * [progress]: iteration 3 / 4 0.715 * * * [progress]: picking best candidate 0.720 * * * * [pick]: Picked # 0.720 * * * [progress]: localizing error 0.728 * * * [progress]: generating rewritten candidates 0.728 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.731 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.744 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.759 * * * [progress]: generating series expansions 0.759 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.759 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 0.759 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.759 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.759 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.759 * [taylor]: Taking taylor expansion of N in N 0.759 * [taylor]: Taking taylor expansion of 1.0 in N 0.762 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.762 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.762 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.762 * [taylor]: Taking taylor expansion of N in N 0.762 * [taylor]: Taking taylor expansion of 1.0 in N 0.793 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 0.793 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 0.793 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.793 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.793 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.793 * [taylor]: Taking taylor expansion of N in N 0.793 * [taylor]: Taking taylor expansion of 1.0 in N 0.795 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 0.795 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.795 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.795 * [taylor]: Taking taylor expansion of N in N 0.795 * [taylor]: Taking taylor expansion of 1.0 in N 0.814 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 0.814 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 0.814 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.814 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.814 * [taylor]: Taking taylor expansion of 1.0 in N 0.814 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.814 * [taylor]: Taking taylor expansion of N in N 0.816 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 0.816 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.817 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.817 * [taylor]: Taking taylor expansion of 1.0 in N 0.817 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.817 * [taylor]: Taking taylor expansion of N in N 0.840 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.840 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in (N) around 0 0.840 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 0.840 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.840 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.840 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.840 * [taylor]: Taking taylor expansion of N in N 0.840 * [taylor]: Taking taylor expansion of 1.0 in N 0.843 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 0.843 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 0.843 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.843 * [taylor]: Taking taylor expansion of N in N 0.843 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.843 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.843 * [taylor]: Taking taylor expansion of N in N 0.843 * [taylor]: Taking taylor expansion of 1.0 in N 0.846 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ N 1.0))) (log (* (/ 1 N) (sqrt (+ N 1.0))))) in N 0.846 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.846 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.846 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.846 * [taylor]: Taking taylor expansion of N in N 0.846 * [taylor]: Taking taylor expansion of 1.0 in N 0.848 * [taylor]: Taking taylor expansion of (log (* (/ 1 N) (sqrt (+ N 1.0)))) in N 0.848 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 0.848 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.848 * [taylor]: Taking taylor expansion of N in N 0.848 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.848 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.848 * [taylor]: Taking taylor expansion of N in N 0.848 * [taylor]: Taking taylor expansion of 1.0 in N 0.926 * [approximate]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in (N) around 0 0.926 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 0.926 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 0.926 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.926 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.926 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.926 * [taylor]: Taking taylor expansion of N in N 0.926 * [taylor]: Taking taylor expansion of 1.0 in N 0.928 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 0.928 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 0.928 * [taylor]: Taking taylor expansion of N in N 0.928 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.928 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.928 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.928 * [taylor]: Taking taylor expansion of N in N 0.928 * [taylor]: Taking taylor expansion of 1.0 in N 0.934 * [taylor]: Taking taylor expansion of (+ (log (sqrt (+ (/ 1 N) 1.0))) (log (* N (sqrt (+ (/ 1 N) 1.0))))) in N 0.935 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 0.935 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.935 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.935 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.935 * [taylor]: Taking taylor expansion of N in N 0.935 * [taylor]: Taking taylor expansion of 1.0 in N 0.936 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1.0)))) in N 0.936 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 0.936 * [taylor]: Taking taylor expansion of N in N 0.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.936 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.936 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.936 * [taylor]: Taking taylor expansion of N in N 0.937 * [taylor]: Taking taylor expansion of 1.0 in N 0.990 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in (N) around 0 0.990 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 0.990 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 0.990 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.990 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.990 * [taylor]: Taking taylor expansion of 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 0.992 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 0.992 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 0.992 * [taylor]: Taking taylor expansion of -1 in N 0.992 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 0.992 * [taylor]: Taking taylor expansion of N in N 0.992 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.992 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.992 * [taylor]: Taking taylor expansion of 1.0 in N 0.992 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.992 * [taylor]: Taking taylor expansion of N in N 1.005 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1.0 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1.0 (/ 1 N))))))) in N 1.005 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 1.005 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.005 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.005 * [taylor]: Taking taylor expansion of 1.0 in N 1.005 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.005 * [taylor]: Taking taylor expansion of N in N 1.007 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1.0 (/ 1 N)))))) in N 1.007 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.007 * [taylor]: Taking taylor expansion of -1 in N 1.007 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.007 * [taylor]: Taking taylor expansion of N in N 1.007 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.007 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.007 * [taylor]: Taking taylor expansion of 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 1.067 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 1.068 * [approximate]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in (N) around 0 1.068 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.068 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.068 * [taylor]: Taking taylor expansion of N in N 1.068 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.068 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.068 * [taylor]: Taking taylor expansion of N in N 1.068 * [taylor]: Taking taylor expansion of 1.0 in N 1.070 * [taylor]: Taking taylor expansion of (* (/ 1 N) (sqrt (+ N 1.0))) in N 1.070 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.070 * [taylor]: Taking taylor expansion of N in N 1.070 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 1.070 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.070 * [taylor]: Taking taylor expansion of N in N 1.070 * [taylor]: Taking taylor expansion of 1.0 in N 1.091 * [approximate]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 1.092 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.092 * [taylor]: Taking taylor expansion of N in N 1.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.092 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.092 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.092 * [taylor]: Taking taylor expansion of N in N 1.092 * [taylor]: Taking taylor expansion of 1.0 in N 1.093 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1.0))) in N 1.094 * [taylor]: Taking taylor expansion of N in N 1.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 1.094 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.094 * [taylor]: Taking taylor expansion of N in N 1.094 * [taylor]: Taking taylor expansion of 1.0 in N 1.112 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in (N) around 0 1.112 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.113 * [taylor]: Taking taylor expansion of -1 in N 1.113 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.113 * [taylor]: Taking taylor expansion of N in N 1.113 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.113 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.113 * [taylor]: Taking taylor expansion of 1.0 in N 1.113 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.113 * [taylor]: Taking taylor expansion of N in N 1.114 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1.0 (/ 1 N))))) in N 1.114 * [taylor]: Taking taylor expansion of -1 in N 1.114 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1.0 (/ 1 N)))) in N 1.115 * [taylor]: Taking taylor expansion of N in N 1.115 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.115 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.115 * [taylor]: Taking taylor expansion of 1.0 in N 1.115 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.115 * [taylor]: Taking taylor expansion of N in N 1.139 * * * [progress]: simplifying candidates 1.141 * [simplify]: Simplifying using # : (log (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt 1)) (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log 1) (log (sqrt (+ N 1.0))) (log (sqrt (+ (pow N 3) (pow 1.0 3)))) (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (sqrt (- (* N N) (* 1.0 1.0)))) (log (sqrt (- N 1.0))) (log (+ N 1.0)) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (log (log (sqrt (+ N 1.0)))) (exp (log (sqrt (+ N 1.0)))) (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (* (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (* (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N)) (log (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (exp (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (* (* (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N))) (* (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (- (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N)))) (- (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt 1) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) 1))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 (sqrt N)))) (+ (log (sqrt (+ N 1.0))) (log (/ 1 1))) (+ (log (sqrt (+ N 1.0))) (log 1)) (+ (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (+ (log (cbrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0)))) (- (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (sqrt (- N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (sqrt (+ N 1.0))) (log N)) (log (/ (sqrt (+ N 1.0)) N)) (exp (/ (sqrt (+ N 1.0)) N)) (/ (* (* (sqrt (+ N 1.0)) (sqrt (+ N 1.0))) (sqrt (+ N 1.0))) (* (* N N) N)) (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))) (cbrt (/ (sqrt (+ N 1.0)) N)) (* (* (/ (sqrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) N)) (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (- (sqrt (+ N 1.0))) (- N) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)) (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1) (/ (cbrt (sqrt (+ N 1.0))) N) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (sqrt (cbrt (+ N 1.0))) (cbrt N)) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)) (/ (sqrt (cbrt (+ N 1.0))) (sqrt N)) (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1) (/ (sqrt (cbrt (+ N 1.0))) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) 1) (/ (sqrt (sqrt (+ N 1.0))) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt (+ N 1.0)) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt (+ N 1.0)) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) 1) (/ (sqrt (sqrt (+ N 1.0))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 1) (/ (sqrt (+ N 1.0)) N) (/ 1 N) (/ N (sqrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ N (cbrt (sqrt (+ N 1.0)))) (/ N (sqrt (cbrt (+ N 1.0)))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (* N (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* N (sqrt (- N 1.0))) (- (+ (log (sqrt 1.0)) (* 1/2 (/ N (pow (sqrt 1.0) 2)))) (* 1/4 (/ (pow N 2) (pow (sqrt 1.0) 4)))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 N)) (- (* +nan.0 (/ 1 (pow N 2)))))) (- (+ (* 2 (log (sqrt 1.0))) (/ N (pow (sqrt 1.0) 2))) (+ (* 1/2 (/ (pow N 2) (pow (sqrt 1.0) 4))) (log N))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ -1 N)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (* 1/2 (/ 1 (sqrt 1.0))) (/ (sqrt 1.0) N)) (* 1/8 (/ N (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) 1.148 * * [simplify]: iteration 0 : 458 enodes (cost 1029 ) 1.154 * * [simplify]: iteration 1 : 1402 enodes (cost 939 ) 1.179 * * [simplify]: iteration 2 : 5002 enodes (cost 850 ) 1.183 * [simplify]: Simplified to: (* 2 (log (cbrt (sqrt (+ N 1.0))))) (log (cbrt (sqrt (+ N 1.0)))) (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (cbrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) 0 (log (sqrt (+ N 1.0))) 0 (log (sqrt (+ N 1.0))) (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (sqrt (+ N 1.0)))) 0 (log (sqrt (+ N 1.0))) (log (sqrt (+ (pow N 3) (pow 1.0 3)))) (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (sqrt (- (* N N) (* 1.0 1.0)))) (log (sqrt (- N 1.0))) (log (+ N 1.0)) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (log (log (sqrt (+ N 1.0)))) (sqrt (+ N 1.0)) (* (cbrt (log (sqrt (+ N 1.0)))) (cbrt (log (sqrt (+ N 1.0))))) (cbrt (log (sqrt (+ N 1.0)))) (pow (log (sqrt (+ N 1.0))) 3) (sqrt (log (sqrt (+ N 1.0)))) (sqrt (log (sqrt (+ N 1.0)))) (/ (+ N 1.0) N) (log (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (/ (+ N 1.0) N) (* (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N))))) (cbrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (pow (- (* 2 (log (sqrt (+ N 1.0)))) (log N)) 3) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (sqrt (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)))) (+ (pow (log (sqrt (+ N 1.0))) 3) (pow (log (/ (sqrt (+ N 1.0)) N)) 3)) (+ (* (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 N))) (* (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))))) (* (log N) (- (* 2 (log (sqrt (+ N 1.0)))) (log N))) (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)) (+ (* 2 (log (cbrt (/ (sqrt (+ N 1.0)) N)))) (log (sqrt (+ N 1.0)))) (+ (log (sqrt (+ N 1.0))) (log (sqrt (/ (sqrt (+ N 1.0)) N)))) (+ (log (sqrt (+ N 1.0))) (* 2 (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt N))))) (- (* 2 (log (cbrt (sqrt (+ N 1.0))))) (- (log (sqrt N)) (log (sqrt (+ N 1.0))))) (+ (* 2 (log (cbrt (sqrt (+ N 1.0))))) (log (sqrt (+ N 1.0)))) (- (+ (log (sqrt (+ N 1.0))) (log (/ (fabs (cbrt (+ N 1.0))) (cbrt N)))) (log (cbrt N))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt N)))) (+ (log (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (log (sqrt (+ N 1.0)))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (log (sqrt (+ N 1.0))) (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (log (sqrt (+ N 1.0))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ N 1.0))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (sqrt (+ N 1.0)))) (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (+ N 1.0)) (+ (log (cbrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (cbrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (sqrt (sqrt (+ N 1.0)))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (+ N 1.0)) (log N)) (log (+ N 1.0)) (- (log (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (log (/ (sqrt (+ N 1.0)) N))) (- (log (sqrt (- N 1.0))) (log (/ (sqrt (+ N 1.0)) N))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) N)) (exp (/ (sqrt (+ N 1.0)) N)) (pow (/ (sqrt (+ N 1.0)) N) 3) (* (cbrt (/ (sqrt (+ N 1.0)) N)) (cbrt (/ (sqrt (+ N 1.0)) N))) (cbrt (/ (sqrt (+ N 1.0)) N)) (pow (/ (sqrt (+ N 1.0)) N) 3) (sqrt (/ (sqrt (+ N 1.0)) N)) (sqrt (/ (sqrt (+ N 1.0)) N)) (- (sqrt (+ N 1.0))) (- N) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt (+ N 1.0))) (cbrt N)) (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt N)) (/ (cbrt (sqrt (+ N 1.0))) (sqrt N)) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (/ (cbrt (sqrt (+ N 1.0))) N) (/ (/ (fabs (cbrt (+ N 1.0))) (cbrt N)) (cbrt N)) (/ (sqrt (cbrt (+ N 1.0))) (cbrt N)) (/ (fabs (cbrt (+ N 1.0))) (* (sqrt N) 1)) (/ (sqrt (cbrt (+ N 1.0))) (sqrt N)) (fabs (cbrt (+ N 1.0))) (/ (sqrt (cbrt (+ N 1.0))) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (sqrt (sqrt (+ N 1.0))) (/ (sqrt (sqrt (+ N 1.0))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) 1 (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) 1 (/ (sqrt (+ N 1.0)) N) (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ N 1.0))) (cbrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (/ (sqrt (sqrt (+ N 1.0))) (sqrt N)) (sqrt (sqrt (+ N 1.0))) (/ (sqrt (sqrt (+ N 1.0))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) 1 (/ (sqrt (+ N 1.0)) N) (/ 1 N) (/ N (sqrt (+ N 1.0))) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ N (cbrt (sqrt (+ N 1.0)))) (/ N (sqrt (cbrt (+ N 1.0)))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (sqrt (sqrt (+ N 1.0)))) (/ N (sqrt (+ N 1.0))) (* N (sqrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* N (sqrt (- N 1.0))) (- (/ (* 1/2 N) 1.0) (- (* (/ 1/4 1.0) (/ (pow N 2) 1.0)) (log (sqrt 1.0)))) (+ (log +nan.0) (* (/ 1 N) (- (/ +nan.0 N) +nan.0))) (+ (log +nan.0) (* (/ 1 N) (- (/ +nan.0 N) +nan.0))) (+ (/ N 1.0) (+ (- (* 2 (log (sqrt 1.0))) (* (/ 1/2 1.0) (/ (pow N 2) 1.0))) (log (/ 1 N)))) (+ (+ (* (/ 1 N) (- +nan.0 (/ +nan.0 N))) (log (- +nan.0))) (- (log +nan.0) (log N))) (+ (+ (* (/ 1 N) (- +nan.0 (/ +nan.0 N))) (+ (log (- +nan.0)) (log +nan.0))) (log (/ -1 N))) (+ (/ (sqrt 1.0) N) (- (/ 1/2 (sqrt 1.0)) (* 1/8 (/ N (pow (sqrt 1.0) 3))))) (- (+ (/ (- +nan.0) (pow N 3)) (/ (/ +nan.0 N) N)) (/ +nan.0 N)) (- (+ (/ (- +nan.0) (pow N 3)) (/ (/ +nan.0 N) N)) (/ +nan.0 N)) 1.184 * * * [progress]: adding candidates to table 1.441 * * [progress]: iteration 4 / 4 1.441 * * * [progress]: picking best candidate 1.445 * * * * [pick]: Picked # 1.445 * * * [progress]: localizing error 1.457 * * * [progress]: generating rewritten candidates 1.457 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.459 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.461 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.464 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.476 * * * [progress]: generating series expansions 1.476 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.476 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.476 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.476 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.476 * [taylor]: Taking taylor expansion of N in N 1.476 * [taylor]: Taking taylor expansion of 1.0 in N 1.477 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.477 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.477 * [taylor]: Taking taylor expansion of N in N 1.477 * [taylor]: Taking taylor expansion of 1.0 in N 1.489 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.489 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.489 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.489 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.489 * [taylor]: Taking taylor expansion of N in N 1.489 * [taylor]: Taking taylor expansion of 1.0 in N 1.490 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.490 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.490 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.490 * [taylor]: Taking taylor expansion of N in N 1.490 * [taylor]: Taking taylor expansion of 1.0 in N 1.502 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.502 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.502 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.502 * [taylor]: Taking taylor expansion of 1.0 in N 1.502 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.503 * [taylor]: Taking taylor expansion of N in N 1.503 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.504 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.504 * [taylor]: Taking taylor expansion of 1.0 in N 1.504 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.504 * [taylor]: Taking taylor expansion of N in N 1.517 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.518 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.518 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.518 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.518 * [taylor]: Taking taylor expansion of N in N 1.518 * [taylor]: Taking taylor expansion of 1.0 in N 1.518 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.518 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.518 * [taylor]: Taking taylor expansion of N in N 1.518 * [taylor]: Taking taylor expansion of 1.0 in N 1.530 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.530 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.530 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.530 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.530 * [taylor]: Taking taylor expansion of N in N 1.530 * [taylor]: Taking taylor expansion of 1.0 in N 1.531 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.531 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.531 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.531 * [taylor]: Taking taylor expansion of N in N 1.531 * [taylor]: Taking taylor expansion of 1.0 in N 1.544 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.544 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.544 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.544 * [taylor]: Taking taylor expansion of 1.0 in N 1.544 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.544 * [taylor]: Taking taylor expansion of N in N 1.545 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.545 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.545 * [taylor]: Taking taylor expansion of 1.0 in N 1.545 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.545 * [taylor]: Taking taylor expansion of N in N 1.565 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.565 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 1.565 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.565 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.565 * [taylor]: Taking taylor expansion of N in N 1.565 * [taylor]: Taking taylor expansion of 1.0 in N 1.566 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.566 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.566 * [taylor]: Taking taylor expansion of N in N 1.566 * [taylor]: Taking taylor expansion of 1.0 in N 1.577 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 1.577 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.577 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.577 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.577 * [taylor]: Taking taylor expansion of N in N 1.578 * [taylor]: Taking taylor expansion of 1.0 in N 1.578 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.578 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.578 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.578 * [taylor]: Taking taylor expansion of N in N 1.579 * [taylor]: Taking taylor expansion of 1.0 in N 1.591 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.591 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.591 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.591 * [taylor]: Taking taylor expansion of 1.0 in N 1.591 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.591 * [taylor]: Taking taylor expansion of N in N 1.592 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.592 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.592 * [taylor]: Taking taylor expansion of 1.0 in N 1.592 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.592 * [taylor]: Taking taylor expansion of N in N 1.606 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.606 * [approximate]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 2) (pow (log N) 2)) in (N) around 0 1.606 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 2) (pow (log N) 2)) in N 1.606 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 2) in N 1.606 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.606 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.606 * [taylor]: Taking taylor expansion of N in N 1.606 * [taylor]: Taking taylor expansion of 1.0 in N 1.607 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 1.607 * [taylor]: Taking taylor expansion of (log N) in N 1.607 * [taylor]: Taking taylor expansion of N in N 1.607 * [taylor]: Taking taylor expansion of (- (pow (log (+ N 1.0)) 2) (pow (log N) 2)) in N 1.607 * [taylor]: Taking taylor expansion of (pow (log (+ N 1.0)) 2) in N 1.608 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.608 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.608 * [taylor]: Taking taylor expansion of N in N 1.608 * [taylor]: Taking taylor expansion of 1.0 in N 1.608 * [taylor]: Taking taylor expansion of (pow (log N) 2) in N 1.608 * [taylor]: Taking taylor expansion of (log N) in N 1.608 * [taylor]: Taking taylor expansion of N in N 1.638 * [approximate]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 2) (pow (log (/ 1 N)) 2)) in (N) around 0 1.638 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 2) (pow (log (/ 1 N)) 2)) in N 1.638 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 2) in N 1.638 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.638 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.638 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.638 * [taylor]: Taking taylor expansion of N in N 1.639 * [taylor]: Taking taylor expansion of 1.0 in N 1.639 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 1.639 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.639 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.639 * [taylor]: Taking taylor expansion of N in N 1.640 * [taylor]: Taking taylor expansion of (- (pow (log (+ (/ 1 N) 1.0)) 2) (pow (log (/ 1 N)) 2)) in N 1.640 * [taylor]: Taking taylor expansion of (pow (log (+ (/ 1 N) 1.0)) 2) in N 1.640 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.640 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.640 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.640 * [taylor]: Taking taylor expansion of N in N 1.641 * [taylor]: Taking taylor expansion of 1.0 in N 1.648 * [taylor]: Taking taylor expansion of (pow (log (/ 1 N)) 2) in N 1.648 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.648 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.648 * [taylor]: Taking taylor expansion of N in N 1.683 * [approximate]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) in (N) around 0 1.683 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) in N 1.683 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 2) in N 1.683 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.683 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.683 * [taylor]: Taking taylor expansion of 1.0 in N 1.683 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.683 * [taylor]: Taking taylor expansion of N in N 1.685 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 1.685 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.685 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.685 * [taylor]: Taking taylor expansion of -1 in N 1.685 * [taylor]: Taking taylor expansion of N in N 1.686 * [taylor]: Taking taylor expansion of (- (pow (log (- 1.0 (/ 1 N))) 2) (pow (log (/ -1 N)) 2)) in N 1.686 * [taylor]: Taking taylor expansion of (pow (log (- 1.0 (/ 1 N))) 2) in N 1.686 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.686 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.686 * [taylor]: Taking taylor expansion of 1.0 in N 1.686 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.686 * [taylor]: Taking taylor expansion of N in N 1.688 * [taylor]: Taking taylor expansion of (pow (log (/ -1 N)) 2) in N 1.688 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.688 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.688 * [taylor]: Taking taylor expansion of -1 in N 1.688 * [taylor]: Taking taylor expansion of N in N 1.748 * * * [progress]: simplifying candidates 1.749 * [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))) (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))) (/ (exp (* (log (+ N 1.0)) (log (+ N 1.0)))) (exp (* (log N) (log N)))) (log (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (exp (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (* (cbrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (cbrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))))) (cbrt (- (* (log (+ N 1.0)) (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 1.0))) (* (log N) (log N)))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (sqrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (sqrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (- (pow (* (log (+ N 1.0)) (log (+ N 1.0))) 3) (pow (* (log N) (log N)) 3)) (+ (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (+ (* (* (log N) (log N)) (* (log N) (log N))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))))) (- (* (log N) (log N))) (- (* (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (* (log N) (log N)))) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (* (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 (* (cbrt N) (cbrt N))))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log (sqrt N)))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log 1))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (* (cbrt N) (cbrt N))) (log N))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (sqrt N)) (log N))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log 1) (log N))) (- (* (log (+ N 1.0)) (log (cbrt (+ N 1.0)))) (* (log N) (log N))) (- (* (log (+ N 1.0)) (log (sqrt (+ 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 1.0))) (* (log N) (log N))) (- (* (log (cbrt (+ N 1.0))) (log (+ N 1.0))) (* (log N) (log N))) (- (* (log (sqrt (+ N 1.0))) (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 1.0))) (* (log N) (log N))) (- (* (log N) (log N))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 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 (pow N 2)) (+ (* 2.0 (* N (log 1.0))) (pow (log 1.0) 2))) (+ (pow (log N) 2) (/ (* (pow N 2) (log 1.0)) (pow 1.0 2)))) (- (+ (* 1.0 (/ 1 (pow N 2))) (* 1.0 (/ (log (/ 1 N)) (pow N 2)))) (+ (* 0.6666666666666666 (/ (log (/ 1 N)) (pow N 3))) (+ (* 1.0 (/ 1 (pow N 3))) (* 2.0 (/ (log (/ 1 N)) N))))) (- (+ (* 2.0 (/ (log -1) N)) (+ (* 1.0 (/ 1 (pow N 2))) (+ (* 0.6666666666666666 (/ (log -1) (pow N 3))) (* 1.0 (/ (log (/ -1 N)) (pow N 2)))))) (+ (* 1.0 (/ 1 (pow N 3))) (+ (* 0.6666666666666666 (/ (log (/ -1 N)) (pow N 3))) (+ (* 2.0 (/ (log (/ -1 N)) N)) (* 1.0 (/ (log -1) (pow N 2))))))) 1.755 * * [simplify]: iteration 0 : 372 enodes (cost 688 ) 1.761 * * [simplify]: iteration 1 : 1204 enodes (cost 621 ) 1.782 * * [simplify]: iteration 2 : 4951 enodes (cost 583 ) 1.875 * * [simplify]: iteration 3 : 5001 enodes (cost 583 ) 1.878 * [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))) (* 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))) (* 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))) (/ (pow (+ N 1.0) (log (+ N 1.0))) (exp (pow (log N) 2))) (log (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (/ (pow (+ N 1.0) (log (+ N 1.0))) (exp (pow (log N) 2))) (* (cbrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (cbrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))))) (cbrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (pow (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2)) 3) (sqrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (sqrt (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N)))) (+ (- (pow (* (log N) (log N)) 3)) (pow (log (+ N 1.0)) 6)) (+ (* (log (+ N 1.0)) (+ (pow (log (+ N 1.0)) 3) (* (log (+ N 1.0)) (pow (log N) 2)))) (pow (log N) 4)) (- (pow (log N) 2)) (* (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2))) (+ (pow (log N) 2) (* (log (+ N 1.0)) (log (+ N 1.0)))) (+ (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (* (cbrt N) (cbrt N))) (log N))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (sqrt N)) (log N))) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) 0) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (* (cbrt N) (cbrt N))) (log N))) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log (sqrt N)) (log N))) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) 0) (- (* (log (+ N 1.0)) (log (cbrt (+ N 1.0)))) (pow (log N) 2)) (- (* (log (+ N 1.0)) (log (sqrt (+ N 1.0)))) (pow (log N) 2)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2)) (- (* (log (+ N 1.0)) (log (cbrt (+ N 1.0)))) (pow (log N) 2)) (- (* (log (+ N 1.0)) (log (sqrt (+ N 1.0)))) (pow (log N) 2)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (pow (log N) 2)) (- (pow (log N) 2)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (+ (/ 1.0 N) (- (log -1) (log (/ -1 N)))) (/ (/ 0.5 N) N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (+ (/ 1.0 N) (- (log -1) (log (/ -1 N)))) (/ (/ 0.5 N) N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (log N))) (- (+ (/ 1.0 N) (- (log -1) (log (/ -1 N)))) (/ (/ 0.5 N) N)) (+ (* (log 1.0) (+ (log 1.0) (* 2.0 N))) (- (* 1.0 (pow N 2)) (+ (pow (log N) 2) (/ (* (pow N 2) (log 1.0)) (pow 1.0 2))))) (- (- (* (/ 1.0 N) (+ (/ 1 N) (/ (log (/ 1 N)) N))) (* (/ (log (/ 1 N)) N) (+ (/ 0.6666666666666666 (pow N 2)) 2.0))) (/ 1.0 (pow N 3))) (- (+ (* (/ 1.0 N) (+ (/ (log (/ -1 N)) N) (/ 1 N))) (* 0.6666666666666666 (/ (log -1) (pow N 3)))) (- (+ (+ (/ 1.0 (pow N 3)) (* 1.0 (/ (log -1) (pow N 2)))) (* (/ (log (/ -1 N)) N) (+ 2.0 (/ 0.6666666666666666 (pow N 2))))) (* 2.0 (/ (log -1) N)))) 1.879 * * * [progress]: adding candidates to table 2.101 * [progress]: [Phase 3 of 3] Extracting. 2.101 * * [regime]: Finding splitpoints for: (# # # # #) 2.103 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.103 * * * * [regimes]: Trying to branch on N from (# # # # #) 2.129 * * * [regime]: Found split indices: #