13.157 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.042 * [progress]: [Phase 2 of 3] Improving. 0.043 * [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)) 0.048 * * [progress]: iteration 1 / 4 0.048 * * * [progress]: picking best candidate 0.049 * * * * [pick]: Picked # 0.049 * * * [progress]: localizing error 0.055 * * * [progress]: generating rewritten candidates 0.055 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.063 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.068 * * * [progress]: generating series expansions 0.068 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.069 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.069 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.069 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.069 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.069 * [taylor]: Taking taylor expansion of N in N 0.069 * [taylor]: Taking taylor expansion of 1.0 in N 0.069 * [taylor]: Taking taylor expansion of (log N) in N 0.069 * [taylor]: Taking taylor expansion of N in N 0.070 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.070 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.070 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.070 * [taylor]: Taking taylor expansion of N in N 0.070 * [taylor]: Taking taylor expansion of 1.0 in N 0.070 * [taylor]: Taking taylor expansion of (log N) in N 0.070 * [taylor]: Taking taylor expansion of N in N 0.089 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.089 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.089 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.089 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.089 * [taylor]: Taking taylor expansion of N in N 0.090 * [taylor]: Taking taylor expansion of 1.0 in N 0.090 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.090 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.090 * [taylor]: Taking taylor expansion of N in N 0.094 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.094 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.094 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.094 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.095 * [taylor]: Taking taylor expansion of N in N 0.095 * [taylor]: Taking taylor expansion of 1.0 in N 0.095 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.095 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.095 * [taylor]: Taking taylor expansion of N in N 0.126 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.126 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.126 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.126 * [taylor]: Taking taylor expansion of 1.0 in N 0.126 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.126 * [taylor]: Taking taylor expansion of N in N 0.127 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.127 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.127 * [taylor]: Taking taylor expansion of -1 in N 0.127 * [taylor]: Taking taylor expansion of N in N 0.128 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.128 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.128 * [taylor]: Taking taylor expansion of 1.0 in N 0.128 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.128 * [taylor]: Taking taylor expansion of N in N 0.129 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.129 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.129 * [taylor]: Taking taylor expansion of -1 in N 0.129 * [taylor]: Taking taylor expansion of N in N 0.163 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.164 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.164 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.164 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.164 * [taylor]: Taking taylor expansion of 1.0 in N 0.164 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.164 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.164 * [taylor]: Taking taylor expansion of 1.0 in N 0.179 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.179 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.179 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.179 * [taylor]: Taking taylor expansion of N in N 0.179 * [taylor]: Taking taylor expansion of 1.0 in N 0.180 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.180 * [taylor]: Taking taylor expansion of N in N 0.180 * [taylor]: Taking taylor expansion of 1.0 in N 0.193 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.193 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.193 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.193 * [taylor]: Taking taylor expansion of 1.0 in N 0.193 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.193 * [taylor]: Taking taylor expansion of N in N 0.194 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.194 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.194 * [taylor]: Taking taylor expansion of 1.0 in N 0.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.208 * * * [progress]: simplifying candidates 0.209 * [simplify]: Simplifying using # : (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ 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)) (expm1 (log (+ N 1.0))) (log1p (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))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.214 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.219 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.237 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.330 * * [simplify]: iteration 3 : 5001 enodes (cost 343 ) 0.333 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (/ (+ 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)) (fma (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N)) (* (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)) (expm1 (log (+ N 1.0))) (log1p (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))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) 0.333 * * * [progress]: adding candidates to table 0.443 * * [progress]: iteration 2 / 4 0.443 * * * [progress]: picking best candidate 0.446 * * * * [pick]: Picked # 0.446 * * * [progress]: localizing error 0.451 * * * [progress]: generating rewritten candidates 0.451 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.456 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.463 * * * [progress]: generating series expansions 0.463 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.463 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.463 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.463 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.463 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.463 * [taylor]: Taking taylor expansion of N in N 0.463 * [taylor]: Taking taylor expansion of 1.0 in N 0.463 * [taylor]: Taking taylor expansion of N in N 0.464 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.464 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.464 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.464 * [taylor]: Taking taylor expansion of N in N 0.464 * [taylor]: Taking taylor expansion of 1.0 in N 0.464 * [taylor]: Taking taylor expansion of N in N 0.478 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.478 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.478 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.478 * [taylor]: Taking taylor expansion of N in N 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.478 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.478 * [taylor]: Taking taylor expansion of N in N 0.479 * [taylor]: Taking taylor expansion of 1.0 in N 0.480 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.480 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.481 * [taylor]: Taking taylor expansion of N in N 0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.481 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.481 * [taylor]: Taking taylor expansion of N in N 0.481 * [taylor]: Taking taylor expansion of 1.0 in N 0.513 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.513 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.513 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.513 * [taylor]: Taking taylor expansion of -1 in N 0.513 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.513 * [taylor]: Taking taylor expansion of N in N 0.513 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.513 * [taylor]: Taking taylor expansion of 1.0 in N 0.513 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.513 * [taylor]: Taking taylor expansion of N in N 0.517 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.517 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.517 * [taylor]: Taking taylor expansion of -1 in N 0.517 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.517 * [taylor]: Taking taylor expansion of N in N 0.517 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.517 * [taylor]: Taking taylor expansion of 1.0 in N 0.517 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.517 * [taylor]: Taking taylor expansion of N in N 0.550 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.550 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.550 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.551 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.551 * [taylor]: Taking taylor expansion of N in N 0.551 * [taylor]: Taking taylor expansion of 1.0 in N 0.551 * [taylor]: Taking taylor expansion of N in N 0.551 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.551 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.551 * [taylor]: Taking taylor expansion of N in N 0.551 * [taylor]: Taking taylor expansion of 1.0 in N 0.551 * [taylor]: Taking taylor expansion of N in N 0.558 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.558 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.558 * [taylor]: Taking taylor expansion of N in N 0.558 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.558 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.558 * [taylor]: Taking taylor expansion of N in N 0.558 * [taylor]: Taking taylor expansion of 1.0 in N 0.558 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.558 * [taylor]: Taking taylor expansion of N in N 0.558 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.558 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.558 * [taylor]: Taking taylor expansion of N in N 0.559 * [taylor]: Taking taylor expansion of 1.0 in N 0.573 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.573 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.573 * [taylor]: Taking taylor expansion of -1 in N 0.573 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.573 * [taylor]: Taking taylor expansion of N in N 0.573 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.573 * [taylor]: Taking taylor expansion of 1.0 in N 0.573 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.573 * [taylor]: Taking taylor expansion of N in N 0.573 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.573 * [taylor]: Taking taylor expansion of -1 in N 0.573 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.573 * [taylor]: Taking taylor expansion of N in N 0.573 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.573 * [taylor]: Taking taylor expansion of 1.0 in N 0.573 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.573 * [taylor]: Taking taylor expansion of N in N 0.603 * * * [progress]: simplifying candidates 0.604 * [simplify]: Simplifying using # : (expm1 (log (/ (+ N 1.0) N))) (log1p (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))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ 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) 0.608 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 0.612 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 0.626 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 0.703 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.705 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (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))) (fma 2 (log (cbrt (+ N 1.0))) (log (/ 1 (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))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ 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)) (fma N (* 1.0 (- 1.0 N)) (pow N 3)) (* N (- N 1.0)) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) 0.706 * * * [progress]: adding candidates to table 0.796 * * [progress]: iteration 3 / 4 0.796 * * * [progress]: picking best candidate 0.799 * * * * [pick]: Picked # 0.800 * * * [progress]: localizing error 0.807 * * * [progress]: generating rewritten candidates 0.807 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.812 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.814 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.819 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.828 * * * [progress]: generating series expansions 0.828 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.828 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.828 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.828 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.828 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.828 * [taylor]: Taking taylor expansion of N in N 0.828 * [taylor]: Taking taylor expansion of 1.0 in N 0.828 * [taylor]: Taking taylor expansion of N in N 0.829 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.829 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.829 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.829 * [taylor]: Taking taylor expansion of N in N 0.829 * [taylor]: Taking taylor expansion of 1.0 in N 0.829 * [taylor]: Taking taylor expansion of N in N 0.846 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.846 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.847 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.847 * [taylor]: Taking taylor expansion of N in N 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.847 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.847 * [taylor]: Taking taylor expansion of N in N 0.847 * [taylor]: Taking taylor expansion of 1.0 in N 0.849 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.849 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.849 * [taylor]: Taking taylor expansion of N in N 0.849 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.849 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.849 * [taylor]: Taking taylor expansion of N in N 0.849 * [taylor]: Taking taylor expansion of 1.0 in N 0.875 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.875 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.875 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.875 * [taylor]: Taking taylor expansion of -1 in N 0.875 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.875 * [taylor]: Taking taylor expansion of N in N 0.875 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.875 * [taylor]: Taking taylor expansion of 1.0 in N 0.875 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.875 * [taylor]: Taking taylor expansion of N in N 0.878 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.878 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.878 * [taylor]: Taking taylor expansion of -1 in N 0.878 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.878 * [taylor]: Taking taylor expansion of N in N 0.878 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.879 * [taylor]: Taking taylor expansion of 1.0 in N 0.879 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.879 * [taylor]: Taking taylor expansion of N in N 0.912 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.912 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.912 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.912 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.912 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.912 * [taylor]: Taking taylor expansion of N in N 0.912 * [taylor]: Taking taylor expansion of 1.0 in N 0.912 * [taylor]: Taking taylor expansion of N in N 0.913 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.913 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.913 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.913 * [taylor]: Taking taylor expansion of N in N 0.913 * [taylor]: Taking taylor expansion of 1.0 in N 0.913 * [taylor]: Taking taylor expansion of N in N 0.932 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.932 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.932 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.932 * [taylor]: Taking taylor expansion of N in N 0.932 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.932 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.932 * [taylor]: Taking taylor expansion of N in N 0.932 * [taylor]: Taking taylor expansion of 1.0 in N 0.934 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.934 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.934 * [taylor]: Taking taylor expansion of N in N 0.934 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.934 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.934 * [taylor]: Taking taylor expansion of N in N 0.934 * [taylor]: Taking taylor expansion of 1.0 in N 0.960 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.960 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.960 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.960 * [taylor]: Taking taylor expansion of -1 in N 0.960 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.960 * [taylor]: Taking taylor expansion of N in N 0.961 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.961 * [taylor]: Taking taylor expansion of 1.0 in N 0.961 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.961 * [taylor]: Taking taylor expansion of N in N 0.964 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.964 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.964 * [taylor]: Taking taylor expansion of -1 in N 0.964 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.964 * [taylor]: Taking taylor expansion of N in N 0.964 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.964 * [taylor]: Taking taylor expansion of 1.0 in N 0.964 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.964 * [taylor]: Taking taylor expansion of N in N 1.002 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.002 * [approximate]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in (N) around 0 1.003 * [taylor]: Taking taylor expansion of (log (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 1.005 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 1.005 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.005 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.005 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.005 * [taylor]: Taking taylor expansion of N in N 1.005 * [taylor]: Taking taylor expansion of 1.0 in N 1.005 * [taylor]: Taking taylor expansion of N in N 1.028 * [approximate]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.028 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 1.028 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.028 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.028 * [taylor]: Taking taylor expansion of N in N 1.028 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.028 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.028 * [taylor]: Taking taylor expansion of N in N 1.028 * [taylor]: Taking taylor expansion of 1.0 in N 1.036 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 1.036 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.036 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.036 * [taylor]: Taking taylor expansion of N in N 1.036 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.036 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.036 * [taylor]: Taking taylor expansion of N in N 1.037 * [taylor]: Taking taylor expansion of 1.0 in N 1.087 * [approximate]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 1.087 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.087 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.087 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.087 * [taylor]: Taking taylor expansion of -1 in N 1.087 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.087 * [taylor]: Taking taylor expansion of N in N 1.087 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.087 * [taylor]: Taking taylor expansion of 1.0 in N 1.087 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.087 * [taylor]: Taking taylor expansion of N in N 1.099 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.099 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.099 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.099 * [taylor]: Taking taylor expansion of -1 in N 1.099 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.099 * [taylor]: Taking taylor expansion of N in N 1.099 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.099 * [taylor]: Taking taylor expansion of 1.0 in N 1.099 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.099 * [taylor]: Taking taylor expansion of N in N 1.151 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.151 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 1.152 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.152 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.152 * [taylor]: Taking taylor expansion of N in N 1.152 * [taylor]: Taking taylor expansion of 1.0 in N 1.152 * [taylor]: Taking taylor expansion of N in N 1.152 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.152 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.152 * [taylor]: Taking taylor expansion of N in N 1.152 * [taylor]: Taking taylor expansion of 1.0 in N 1.152 * [taylor]: Taking taylor expansion of N in N 1.159 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 1.159 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.159 * [taylor]: Taking taylor expansion of N in N 1.159 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.159 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.159 * [taylor]: Taking taylor expansion of N in N 1.159 * [taylor]: Taking taylor expansion of 1.0 in N 1.160 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.160 * [taylor]: Taking taylor expansion of N in N 1.160 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.160 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.160 * [taylor]: Taking taylor expansion of N in N 1.160 * [taylor]: Taking taylor expansion of 1.0 in N 1.180 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 1.180 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.180 * [taylor]: Taking taylor expansion of -1 in N 1.180 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.180 * [taylor]: Taking taylor expansion of N in N 1.180 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.180 * [taylor]: Taking taylor expansion of 1.0 in N 1.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.180 * [taylor]: Taking taylor expansion of N in N 1.180 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.180 * [taylor]: Taking taylor expansion of -1 in N 1.180 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.180 * [taylor]: Taking taylor expansion of N in N 1.180 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.180 * [taylor]: Taking taylor expansion of 1.0 in N 1.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.180 * [taylor]: Taking taylor expansion of N in N 1.204 * * * [progress]: simplifying candidates 1.206 * [simplify]: Simplifying using # : (expm1 (log (/ (+ N 1.0) N))) (log1p (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))) (expm1 (exp (log (log (/ (+ N 1.0) N))))) (log1p (exp (log (log (/ (+ N 1.0) N))))) (exp 1) (exp (* (cbrt (log (log (/ (+ N 1.0) N)))) (cbrt (log (log (/ (+ N 1.0) N)))))) (exp (sqrt (log (log (/ (+ N 1.0) N))))) (exp 1) (exp (log 1)) (exp (log (log (/ (+ N 1.0) N)))) (exp (log (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))))) (exp (log (cbrt (log (/ (+ N 1.0) N))))) (exp (log (sqrt (log (/ (+ N 1.0) N))))) (exp (log (sqrt (log (/ (+ N 1.0) N))))) (exp (log 1)) (exp (log (log (/ (+ N 1.0) N)))) (log (exp (log (log (/ (+ N 1.0) N))))) (exp (exp (log (log (/ (+ N 1.0) N))))) (* (cbrt (exp (log (log (/ (+ N 1.0) N))))) (cbrt (exp (log (log (/ (+ N 1.0) N)))))) (cbrt (exp (log (log (/ (+ N 1.0) N))))) (* (* (exp (log (log (/ (+ N 1.0) N)))) (exp (log (log (/ (+ N 1.0) N))))) (exp (log (log (/ (+ N 1.0) N))))) (sqrt (exp (log (log (/ (+ N 1.0) N))))) (sqrt (exp (log (log (/ (+ N 1.0) N))))) (expm1 (log (log (/ (+ N 1.0) N)))) (log1p (log (log (/ (+ N 1.0) N)))) (log 1) (log (log (/ (+ N 1.0) N))) (log (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N))))) (log (cbrt (log (/ (+ N 1.0) N)))) (log (sqrt (log (/ (+ N 1.0) N)))) (log (sqrt (log (/ (+ N 1.0) N)))) (log 1) (log (log (/ (+ N 1.0) N))) (log (log (/ (+ N 1.0) N))) (log (log (log (/ (+ N 1.0) N)))) (exp (log (log (/ (+ N 1.0) N)))) (* (cbrt (log (log (/ (+ N 1.0) N)))) (cbrt (log (log (/ (+ N 1.0) N))))) (cbrt (log (log (/ (+ N 1.0) N)))) (* (* (log (log (/ (+ N 1.0) N))) (log (log (/ (+ N 1.0) N)))) (log (log (/ (+ N 1.0) N)))) (sqrt (log (log (/ (+ N 1.0) N)))) (sqrt (log (log (/ (+ N 1.0) N)))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ 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 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (log (- (log 1.0) (log N))) (* 1.0 (/ N (- (log 1.0) (log N))))) (+ (* 1/2 (/ (pow N 2) (* (pow 1.0 2) (- (log 1.0) (log N))))) (* 0.5 (/ (pow N 2) (pow (- (log 1.0) (log N)) 2))))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 2))) (+ (log 1.0) (log (/ 1 N)))) (+ (* 0.125 (/ 1 (* (pow N 2) (pow 1.0 2)))) (* 0.5 (/ 1 N)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 2))) (+ (log -1.0) (log (/ -1 N)))) (+ (* 0.5 (/ 1 N)) (* 0.125 (/ 1 (* (pow N 2) (pow -1.0 2)))))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 1.212 * * [simplify]: iteration 0 : 380 enodes (cost 658 ) 1.219 * * [simplify]: iteration 1 : 1329 enodes (cost 605 ) 1.241 * * [simplify]: iteration 2 : 5001 enodes (cost 584 ) 1.245 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (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)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (pow (exp 2) (log (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))) (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) E (exp (* (cbrt (log (log (/ (+ N 1.0) N)))) (cbrt (log (log (/ (+ N 1.0) N)))))) (exp (sqrt (log (log (/ (+ N 1.0) N))))) E 1 (log (/ (+ N 1.0) N)) (pow (exp 2) (log (cbrt (log (/ (+ N 1.0) N))))) (cbrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) 1 (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (pow (exp 2) (log (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))) (expm1 (log (log (/ (+ N 1.0) N)))) (log1p (log (log (/ (+ N 1.0) N)))) 0 (log (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (log (/ (+ N 1.0) N))))) (log (cbrt (log (/ (+ N 1.0) N)))) (log (sqrt (log (/ (+ N 1.0) N)))) (log (sqrt (log (/ (+ N 1.0) N)))) 0 (log (log (/ (+ N 1.0) N))) (log (log (/ (+ N 1.0) N))) (log (log (log (/ (+ N 1.0) N)))) (log (/ (+ N 1.0) N)) (* (cbrt (log (log (/ (+ N 1.0) N)))) (cbrt (log (log (/ (+ N 1.0) N))))) (cbrt (log (log (/ (+ N 1.0) N)))) (pow (log (log (/ (+ N 1.0) N))) 3) (sqrt (log (log (/ (+ N 1.0) N)))) (sqrt (log (log (/ (+ N 1.0) N)))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ 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)) (fma N (* 1.0 (- 1.0 N)) (pow N 3)) (* N (- N 1.0)) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (- (* 1.0 (/ N (- (log 1.0) (log N)))) (- (* (/ (pow N 2) (- (log 1.0) (log N))) (+ (/ 1/2 (pow 1.0 2)) (/ 0.5 (- (log 1.0) (log N))))) (log (- (log 1.0) (log N))))) (+ (- (log 1.0) (log N)) (+ (* (/ 1 (pow N 2)) (- 0.3333333333333333 (/ 0.125 (pow 1.0 2)))) (/ (- 0.5) N))) (- (+ (log -1.0) (log (/ -1 N))) (- (fma 0.5 (/ 1 N) (/ (/ 0.125 (pow -1.0 2)) (pow N 2))) (/ (/ 0.3333333333333333 N) N))) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) 1.246 * * * [progress]: adding candidates to table 1.439 * * [progress]: iteration 4 / 4 1.439 * * * [progress]: picking best candidate 1.443 * * * * [pick]: Picked # 1.443 * * * [progress]: localizing error 1.454 * * * [progress]: generating rewritten candidates 1.454 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1) 1.459 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.460 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.461 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.467 * * * [progress]: generating series expansions 1.467 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1) 1.467 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.467 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.467 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.467 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.468 * [taylor]: Taking taylor expansion of N in N 1.468 * [taylor]: Taking taylor expansion of 1.0 in N 1.468 * [taylor]: Taking taylor expansion of N in N 1.469 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.469 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.469 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.469 * [taylor]: Taking taylor expansion of N in N 1.469 * [taylor]: Taking taylor expansion of 1.0 in N 1.469 * [taylor]: Taking taylor expansion of N in N 1.482 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.483 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.483 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.483 * [taylor]: Taking taylor expansion of N in N 1.483 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.483 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.483 * [taylor]: Taking taylor expansion of N in N 1.483 * [taylor]: Taking taylor expansion of 1.0 in N 1.485 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.485 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.485 * [taylor]: Taking taylor expansion of N in N 1.485 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.485 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.485 * [taylor]: Taking taylor expansion of N in N 1.485 * [taylor]: Taking taylor expansion of 1.0 in N 1.517 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.517 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.517 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.517 * [taylor]: Taking taylor expansion of -1 in N 1.517 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.517 * [taylor]: Taking taylor expansion of N in N 1.517 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.517 * [taylor]: Taking taylor expansion of 1.0 in N 1.517 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.517 * [taylor]: Taking taylor expansion of N in N 1.520 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.520 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.520 * [taylor]: Taking taylor expansion of -1 in N 1.520 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.520 * [taylor]: Taking taylor expansion of N in N 1.520 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.520 * [taylor]: Taking taylor expansion of 1.0 in N 1.520 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.520 * [taylor]: Taking taylor expansion of N in N 1.553 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.553 * [approximate]: Taking taylor expansion of (log1p (expm1 (log (log (/ (+ N 1.0) N))))) in (N) around 0 1.553 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (log (/ (+ N 1.0) N))))) in N 1.553 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (log (/ (+ N 1.0) N)))))) 1.553 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (log (/ (+ N 1.0) N))))) in N 1.553 * [taylor]: Taking taylor expansion of 1 in N 1.553 * [taylor]: Taking taylor expansion of (expm1 (log (log (/ (+ N 1.0) N)))) in N 1.553 * [taylor]: Rewrote expression to (- (exp (log (log (/ (+ N 1.0) N)))) 1) 1.553 * [taylor]: Taking taylor expansion of (exp (log (log (/ (+ N 1.0) N)))) in N 1.554 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 1.554 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.554 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.554 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.554 * [taylor]: Taking taylor expansion of N in N 1.554 * [taylor]: Taking taylor expansion of 1.0 in N 1.554 * [taylor]: Taking taylor expansion of N in N 1.556 * [taylor]: Taking taylor expansion of 1 in N 1.557 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (log (/ (+ N 1.0) N))))) in N 1.557 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (log (/ (+ N 1.0) N)))))) 1.557 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (log (/ (+ N 1.0) N))))) in N 1.557 * [taylor]: Taking taylor expansion of 1 in N 1.557 * [taylor]: Taking taylor expansion of (expm1 (log (log (/ (+ N 1.0) N)))) in N 1.557 * [taylor]: Rewrote expression to (- (exp (log (log (/ (+ N 1.0) N)))) 1) 1.557 * [taylor]: Taking taylor expansion of (exp (log (log (/ (+ N 1.0) N)))) in N 1.557 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 1.557 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.557 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.557 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.558 * [taylor]: Taking taylor expansion of N in N 1.558 * [taylor]: Taking taylor expansion of 1.0 in N 1.558 * [taylor]: Taking taylor expansion of N in N 1.560 * [taylor]: Taking taylor expansion of 1 in N 1.603 * [approximate]: Taking taylor expansion of (log1p (expm1 (log (log (* N (+ (/ 1 N) 1.0)))))) in (N) around 0 1.603 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (log (* N (+ (/ 1 N) 1.0)))))) in N 1.603 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (log (* N (+ (/ 1 N) 1.0))))))) 1.604 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (log (* N (+ (/ 1 N) 1.0)))))) in N 1.604 * [taylor]: Taking taylor expansion of 1 in N 1.604 * [taylor]: Taking taylor expansion of (expm1 (log (log (* N (+ (/ 1 N) 1.0))))) in N 1.604 * [taylor]: Rewrote expression to (- (exp (log (log (* N (+ (/ 1 N) 1.0))))) 1) 1.604 * [taylor]: Taking taylor expansion of (exp (log (log (* N (+ (/ 1 N) 1.0))))) in N 1.604 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 1.604 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.604 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.604 * [taylor]: Taking taylor expansion of N in N 1.604 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.604 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.604 * [taylor]: Taking taylor expansion of N in N 1.604 * [taylor]: Taking taylor expansion of 1.0 in N 1.614 * [taylor]: Taking taylor expansion of 1 in N 1.615 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (log (* N (+ (/ 1 N) 1.0)))))) in N 1.615 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (log (* N (+ (/ 1 N) 1.0))))))) 1.615 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (log (* N (+ (/ 1 N) 1.0)))))) in N 1.615 * [taylor]: Taking taylor expansion of 1 in N 1.615 * [taylor]: Taking taylor expansion of (expm1 (log (log (* N (+ (/ 1 N) 1.0))))) in N 1.615 * [taylor]: Rewrote expression to (- (exp (log (log (* N (+ (/ 1 N) 1.0))))) 1) 1.615 * [taylor]: Taking taylor expansion of (exp (log (log (* N (+ (/ 1 N) 1.0))))) in N 1.615 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 1.615 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.615 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.615 * [taylor]: Taking taylor expansion of N in N 1.615 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.615 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.615 * [taylor]: Taking taylor expansion of N in N 1.616 * [taylor]: Taking taylor expansion of 1.0 in N 1.625 * [taylor]: Taking taylor expansion of 1 in N 1.687 * [approximate]: Taking taylor expansion of (log1p (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N)))))))) in (N) around 0 1.687 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N)))))))) in N 1.687 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))))) 1.687 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N)))))))) in N 1.687 * [taylor]: Taking taylor expansion of 1 in N 1.687 * [taylor]: Taking taylor expansion of (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.687 * [taylor]: Rewrote expression to (- (exp (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) 1) 1.687 * [taylor]: Taking taylor expansion of (exp (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.687 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.687 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.687 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.688 * [taylor]: Taking taylor expansion of -1 in N 1.688 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.688 * [taylor]: Taking taylor expansion of N in N 1.688 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.688 * [taylor]: Taking taylor expansion of 1.0 in N 1.688 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.688 * [taylor]: Taking taylor expansion of N in N 1.700 * [taylor]: Taking taylor expansion of 1 in N 1.702 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N)))))))) in N 1.702 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))))) 1.702 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N)))))))) in N 1.702 * [taylor]: Taking taylor expansion of 1 in N 1.702 * [taylor]: Taking taylor expansion of (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.702 * [taylor]: Rewrote expression to (- (exp (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) 1) 1.702 * [taylor]: Taking taylor expansion of (exp (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.702 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.702 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.702 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.702 * [taylor]: Taking taylor expansion of -1 in N 1.702 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.702 * [taylor]: Taking taylor expansion of N in N 1.702 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.702 * [taylor]: Taking taylor expansion of 1.0 in N 1.702 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.702 * [taylor]: Taking taylor expansion of N in N 1.715 * [taylor]: Taking taylor expansion of 1 in N 1.783 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.783 * [approximate]: Taking taylor expansion of (exp (log1p (expm1 (log (log (/ (+ N 1.0) N)))))) in (N) around 0 1.783 * [taylor]: Taking taylor expansion of (exp (log1p (expm1 (log (log (/ (+ N 1.0) N)))))) in N 1.783 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (log (/ (+ N 1.0) N))))) in N 1.783 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (log (/ (+ N 1.0) N)))))) 1.783 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (log (/ (+ N 1.0) N))))) in N 1.783 * [taylor]: Taking taylor expansion of 1 in N 1.783 * [taylor]: Taking taylor expansion of (expm1 (log (log (/ (+ N 1.0) N)))) in N 1.783 * [taylor]: Rewrote expression to (- (exp (log (log (/ (+ N 1.0) N)))) 1) 1.783 * [taylor]: Taking taylor expansion of (exp (log (log (/ (+ N 1.0) N)))) in N 1.783 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 1.783 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.783 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.783 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.783 * [taylor]: Taking taylor expansion of N in N 1.783 * [taylor]: Taking taylor expansion of 1.0 in N 1.784 * [taylor]: Taking taylor expansion of N in N 1.786 * [taylor]: Taking taylor expansion of 1 in N 1.787 * [taylor]: Taking taylor expansion of (exp (log1p (expm1 (log (log (/ (+ N 1.0) N)))))) in N 1.788 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (log (/ (+ N 1.0) N))))) in N 1.788 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (log (/ (+ N 1.0) N)))))) 1.788 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (log (/ (+ N 1.0) N))))) in N 1.788 * [taylor]: Taking taylor expansion of 1 in N 1.788 * [taylor]: Taking taylor expansion of (expm1 (log (log (/ (+ N 1.0) N)))) in N 1.788 * [taylor]: Rewrote expression to (- (exp (log (log (/ (+ N 1.0) N)))) 1) 1.788 * [taylor]: Taking taylor expansion of (exp (log (log (/ (+ N 1.0) N)))) in N 1.788 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 1.788 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.788 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.788 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.788 * [taylor]: Taking taylor expansion of N in N 1.788 * [taylor]: Taking taylor expansion of 1.0 in N 1.788 * [taylor]: Taking taylor expansion of N in N 1.790 * [taylor]: Taking taylor expansion of 1 in N 1.830 * [approximate]: Taking taylor expansion of (exp (log1p (expm1 (log (log (* N (+ (/ 1 N) 1.0))))))) in (N) around 0 1.830 * [taylor]: Taking taylor expansion of (exp (log1p (expm1 (log (log (* N (+ (/ 1 N) 1.0))))))) in N 1.830 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (log (* N (+ (/ 1 N) 1.0)))))) in N 1.830 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (log (* N (+ (/ 1 N) 1.0))))))) 1.830 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (log (* N (+ (/ 1 N) 1.0)))))) in N 1.830 * [taylor]: Taking taylor expansion of 1 in N 1.830 * [taylor]: Taking taylor expansion of (expm1 (log (log (* N (+ (/ 1 N) 1.0))))) in N 1.830 * [taylor]: Rewrote expression to (- (exp (log (log (* N (+ (/ 1 N) 1.0))))) 1) 1.830 * [taylor]: Taking taylor expansion of (exp (log (log (* N (+ (/ 1 N) 1.0))))) in N 1.830 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 1.830 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.830 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.830 * [taylor]: Taking taylor expansion of N in N 1.830 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.830 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.830 * [taylor]: Taking taylor expansion of N in N 1.831 * [taylor]: Taking taylor expansion of 1.0 in N 1.840 * [taylor]: Taking taylor expansion of 1 in N 1.842 * [taylor]: Taking taylor expansion of (exp (log1p (expm1 (log (log (* N (+ (/ 1 N) 1.0))))))) in N 1.842 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (log (* N (+ (/ 1 N) 1.0)))))) in N 1.842 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (log (* N (+ (/ 1 N) 1.0))))))) 1.842 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (log (* N (+ (/ 1 N) 1.0)))))) in N 1.842 * [taylor]: Taking taylor expansion of 1 in N 1.842 * [taylor]: Taking taylor expansion of (expm1 (log (log (* N (+ (/ 1 N) 1.0))))) in N 1.842 * [taylor]: Rewrote expression to (- (exp (log (log (* N (+ (/ 1 N) 1.0))))) 1) 1.842 * [taylor]: Taking taylor expansion of (exp (log (log (* N (+ (/ 1 N) 1.0))))) in N 1.842 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 1.842 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.842 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.842 * [taylor]: Taking taylor expansion of N in N 1.842 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.842 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.842 * [taylor]: Taking taylor expansion of N in N 1.843 * [taylor]: Taking taylor expansion of 1.0 in N 1.859 * [taylor]: Taking taylor expansion of 1 in N 1.925 * [approximate]: Taking taylor expansion of (exp (log1p (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))))) in (N) around 0 1.925 * [taylor]: Taking taylor expansion of (exp (log1p (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))))) in N 1.925 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N)))))))) in N 1.925 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))))) 1.925 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N)))))))) in N 1.925 * [taylor]: Taking taylor expansion of 1 in N 1.925 * [taylor]: Taking taylor expansion of (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.925 * [taylor]: Rewrote expression to (- (exp (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) 1) 1.925 * [taylor]: Taking taylor expansion of (exp (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.925 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.925 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.925 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.926 * [taylor]: Taking taylor expansion of -1 in N 1.926 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.926 * [taylor]: Taking taylor expansion of N in N 1.926 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.926 * [taylor]: Taking taylor expansion of 1.0 in N 1.926 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.926 * [taylor]: Taking taylor expansion of N in N 1.945 * [taylor]: Taking taylor expansion of 1 in N 1.946 * [taylor]: Taking taylor expansion of (exp (log1p (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))))) in N 1.946 * [taylor]: Taking taylor expansion of (log1p (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N)))))))) in N 1.946 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))))) 1.946 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N)))))))) in N 1.947 * [taylor]: Taking taylor expansion of 1 in N 1.947 * [taylor]: Taking taylor expansion of (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.947 * [taylor]: Rewrote expression to (- (exp (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) 1) 1.947 * [taylor]: Taking taylor expansion of (exp (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 1.947 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 1.947 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.947 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.947 * [taylor]: Taking taylor expansion of -1 in N 1.947 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.947 * [taylor]: Taking taylor expansion of N in N 1.947 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.947 * [taylor]: Taking taylor expansion of 1.0 in N 1.947 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.947 * [taylor]: Taking taylor expansion of N in N 1.960 * [taylor]: Taking taylor expansion of 1 in N 2.036 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.036 * [approximate]: Taking taylor expansion of (expm1 (log (log (/ (+ N 1.0) N)))) in (N) around 0 2.036 * [taylor]: Taking taylor expansion of (expm1 (log (log (/ (+ N 1.0) N)))) in N 2.036 * [taylor]: Rewrote expression to (- (exp (log (log (/ (+ N 1.0) N)))) 1) 2.037 * [taylor]: Taking taylor expansion of (exp (log (log (/ (+ N 1.0) N)))) in N 2.037 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 2.037 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.037 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.037 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.037 * [taylor]: Taking taylor expansion of N in N 2.037 * [taylor]: Taking taylor expansion of 1.0 in N 2.037 * [taylor]: Taking taylor expansion of N in N 2.039 * [taylor]: Taking taylor expansion of 1 in N 2.039 * [taylor]: Taking taylor expansion of (expm1 (log (log (/ (+ N 1.0) N)))) in N 2.039 * [taylor]: Rewrote expression to (- (exp (log (log (/ (+ N 1.0) N)))) 1) 2.039 * [taylor]: Taking taylor expansion of (exp (log (log (/ (+ N 1.0) N)))) in N 2.039 * [taylor]: Taking taylor expansion of (log (log (/ (+ N 1.0) N))) in N 2.039 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.039 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.039 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.039 * [taylor]: Taking taylor expansion of N in N 2.039 * [taylor]: Taking taylor expansion of 1.0 in N 2.039 * [taylor]: Taking taylor expansion of N in N 2.042 * [taylor]: Taking taylor expansion of 1 in N 2.069 * [approximate]: Taking taylor expansion of (expm1 (log (log (* N (+ (/ 1 N) 1.0))))) in (N) around 0 2.069 * [taylor]: Taking taylor expansion of (expm1 (log (log (* N (+ (/ 1 N) 1.0))))) in N 2.069 * [taylor]: Rewrote expression to (- (exp (log (log (* N (+ (/ 1 N) 1.0))))) 1) 2.069 * [taylor]: Taking taylor expansion of (exp (log (log (* N (+ (/ 1 N) 1.0))))) in N 2.069 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 2.069 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.069 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.069 * [taylor]: Taking taylor expansion of N in N 2.069 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.069 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.069 * [taylor]: Taking taylor expansion of N in N 2.069 * [taylor]: Taking taylor expansion of 1.0 in N 2.079 * [taylor]: Taking taylor expansion of 1 in N 2.079 * [taylor]: Taking taylor expansion of (expm1 (log (log (* N (+ (/ 1 N) 1.0))))) in N 2.079 * [taylor]: Rewrote expression to (- (exp (log (log (* N (+ (/ 1 N) 1.0))))) 1) 2.079 * [taylor]: Taking taylor expansion of (exp (log (log (* N (+ (/ 1 N) 1.0))))) in N 2.079 * [taylor]: Taking taylor expansion of (log (log (* N (+ (/ 1 N) 1.0)))) in N 2.079 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.079 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.079 * [taylor]: Taking taylor expansion of N in N 2.079 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.079 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.079 * [taylor]: Taking taylor expansion of N in N 2.079 * [taylor]: Taking taylor expansion of 1.0 in N 2.089 * [taylor]: Taking taylor expansion of 1 in N 2.144 * [approximate]: Taking taylor expansion of (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in (N) around 0 2.144 * [taylor]: Taking taylor expansion of (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 2.144 * [taylor]: Rewrote expression to (- (exp (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) 1) 2.144 * [taylor]: Taking taylor expansion of (exp (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 2.144 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 2.144 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.145 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.145 * [taylor]: Taking taylor expansion of -1 in N 2.145 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.145 * [taylor]: Taking taylor expansion of N in N 2.145 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.145 * [taylor]: Taking taylor expansion of 1.0 in N 2.145 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.145 * [taylor]: Taking taylor expansion of N in N 2.157 * [taylor]: Taking taylor expansion of 1 in N 2.157 * [taylor]: Taking taylor expansion of (expm1 (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 2.158 * [taylor]: Rewrote expression to (- (exp (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) 1) 2.158 * [taylor]: Taking taylor expansion of (exp (log (log (* -1 (* N (- 1.0 (/ 1 N))))))) in N 2.158 * [taylor]: Taking taylor expansion of (log (log (* -1 (* N (- 1.0 (/ 1 N)))))) in N 2.158 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.158 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.158 * [taylor]: Taking taylor expansion of -1 in N 2.158 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.158 * [taylor]: Taking taylor expansion of N in N 2.158 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.158 * [taylor]: Taking taylor expansion of 1.0 in N 2.158 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.158 * [taylor]: Taking taylor expansion of N in N 2.171 * [taylor]: Taking taylor expansion of 1 in N 2.229 * * * [progress]: simplifying candidates 2.230 * [simplify]: Simplifying using # : (expm1 (log (/ (+ N 1.0) N))) (log1p (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 (expm1 (log (log (/ (+ N 1.0) N))))) (expm1 (log1p (expm1 (log (log (/ (+ N 1.0) N)))))) (log1p (log1p (expm1 (log (log (/ (+ N 1.0) N)))))) (log (log1p (expm1 (log (log (/ (+ N 1.0) N)))))) (exp (log1p (expm1 (log (log (/ (+ N 1.0) N)))))) (* (cbrt (log1p (expm1 (log (log (/ (+ N 1.0) N)))))) (cbrt (log1p (expm1 (log (log (/ (+ N 1.0) N))))))) (cbrt (log1p (expm1 (log (log (/ (+ N 1.0) N)))))) (* (* (log1p (expm1 (log (log (/ (+ N 1.0) N))))) (log1p (expm1 (log (log (/ (+ N 1.0) N)))))) (log1p (expm1 (log (log (/ (+ N 1.0) N)))))) (sqrt (log1p (expm1 (log (log (/ (+ N 1.0) N)))))) (sqrt (log1p (expm1 (log (log (/ (+ N 1.0) N)))))) 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2)))) (* (- 0.5) (/ -1.0 (/ N (/ -1 N)))))) (- (- (fma 1.0 N (log 1.0)) 1) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (+ (- 1) (+ (/ 1.0 N) (+ (* (* (/ 1.0 N) (/ (/ 1 N) N)) (- 0.4583333333333333 (/ 0.125 (pow 1.0 2)))) (* (- 0.5) (/ 1.0 (/ N (/ 1 N))))))) (+ (* (/ -1 N) -1.0) (+ (* (* (/ -1.0 N) (/ (/ -1 N) N)) (- 0.4583333333333333 (/ 0.125 (pow -1.0 2)))) (+ (* (- 0.5) (/ -1.0 (/ N (/ -1 N)))) (- 1)))) 2.268 * * * [progress]: adding candidates to table 2.449 * [progress]: [Phase 3 of 3] Extracting. 2.449 * * [regime]: Finding splitpoints for: (# # #) 2.449 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.449 * * * * [regimes]: Trying to branch on N from (# # #) 2.471 * * * [regime]: Found split indices: #