12.068 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.040 * * * [progress]: [2/2] Setting up program. 0.042 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying using # : (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)) 0.049 * * [simplify]: iteration 0 : 71 enodes (cost 7 ) 0.049 * * [simplify]: iteration 1 : 71 enodes (cost 7 ) 0.049 * [simplify]: Simplified to: (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.053 * * * [progress]: localizing error 0.060 * * * [progress]: generating rewritten candidates 0.060 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.068 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.072 * * * [progress]: generating series expansions 0.072 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.072 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.072 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.072 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.072 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.072 * [taylor]: Taking taylor expansion of N in N 0.073 * [taylor]: Taking taylor expansion of 1.0 in N 0.073 * [taylor]: Taking taylor expansion of (log N) in N 0.073 * [taylor]: Taking taylor expansion of N in N 0.073 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.073 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.073 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.073 * [taylor]: Taking taylor expansion of N in N 0.073 * [taylor]: Taking taylor expansion of 1.0 in N 0.073 * [taylor]: Taking taylor expansion of (log N) in N 0.073 * [taylor]: Taking taylor expansion of N in N 0.075 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.075 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.075 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.075 * [taylor]: Taking taylor expansion of N in N 0.075 * [taylor]: Taking taylor expansion of 1.0 in N 0.075 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.075 * [taylor]: Taking taylor expansion of N in N 0.075 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.075 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.075 * [taylor]: Taking taylor expansion of N in N 0.075 * [taylor]: Taking taylor expansion of 1.0 in N 0.076 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.076 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.076 * [taylor]: Taking taylor expansion of N in N 0.077 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.077 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.077 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.078 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.078 * [taylor]: Taking taylor expansion of 1.0 in N 0.078 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.078 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.078 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.078 * [taylor]: Taking taylor expansion of -1 in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.078 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.078 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.078 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.078 * [taylor]: Taking taylor expansion of 1.0 in N 0.078 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.078 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.078 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.078 * [taylor]: Taking taylor expansion of -1 in N 0.078 * [taylor]: Taking taylor expansion of N in N 0.080 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.080 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.080 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.080 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.080 * [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 (+ N 1.0)) in N 0.080 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.080 * [taylor]: Taking taylor expansion of N in N 0.080 * [taylor]: Taking taylor expansion of 1.0 in N 0.081 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.081 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [taylor]: Taking taylor expansion of 1.0 in N 0.081 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [taylor]: Taking taylor expansion of 1.0 in N 0.082 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.082 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.082 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.082 * [taylor]: Taking taylor expansion of 1.0 in N 0.082 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.082 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.082 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.082 * [taylor]: Taking taylor expansion of 1.0 in N 0.082 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.083 * * * [progress]: simplifying candidates 0.084 * [simplify]: Simplifying using # : (/.f64 (+.f64 N 1.0) N) (log.f64 (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N))) (exp.f64 (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N))) (*.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N))) (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)))) (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N))) (*.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N))) (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N))) (sqrt.f64 (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N))) (sqrt.f64 (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N))) (-.f64 (pow.f64 (log.f64 (+.f64 N 1.0)) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (log.f64 (+.f64 N 1.0)) (log.f64 (+.f64 N 1.0))) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)))) (neg.f64 (log.f64 N)) (-.f64 (*.f64 (log.f64 (+.f64 N 1.0)) (log.f64 (+.f64 N 1.0))) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)) (+.f64 (sqrt.f64 (log.f64 (+.f64 N 1.0))) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log.f64 (+.f64 N 1.0))) (sqrt.f64 (log.f64 N))) (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 (sqrt.f64 N))) (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 1)) (-.f64 (log.f64 (cbrt.f64 (+.f64 N 1.0))) (log.f64 N)) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)) (+.f64 (log.f64 (+.f64 (*.f64 N N) (-.f64 (*.f64 1.0 1.0) (*.f64 N 1.0)))) (log.f64 N)) (+.f64 (log.f64 (-.f64 N 1.0)) (log.f64 N)) (log.f64 (*.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 (+.f64 N 1.0)))) (log.f64 (cbrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 1) (log.f64 (+.f64 N 1.0)) (log.f64 1) (log.f64 (+.f64 N 1.0)) (log.f64 (+.f64 (pow.f64 N 3) (pow.f64 1.0 3))) (log.f64 (+.f64 (*.f64 N N) (-.f64 (*.f64 1.0 1.0) (*.f64 N 1.0)))) (log.f64 (-.f64 (*.f64 N N) (*.f64 1.0 1.0))) (log.f64 (-.f64 N 1.0)) (log.f64 (+.f64 N 1.0)) (log.f64 (log.f64 (+.f64 N 1.0))) (exp.f64 (log.f64 (+.f64 N 1.0))) (*.f64 (cbrt.f64 (log.f64 (+.f64 N 1.0))) (cbrt.f64 (log.f64 (+.f64 N 1.0)))) (cbrt.f64 (log.f64 (+.f64 N 1.0))) (*.f64 (*.f64 (log.f64 (+.f64 N 1.0)) (log.f64 (+.f64 N 1.0))) (log.f64 (+.f64 N 1.0))) (sqrt.f64 (log.f64 (+.f64 N 1.0))) (sqrt.f64 (log.f64 (+.f64 N 1.0))) (-.f64 (+.f64 (*.f64 1.0 N) (log.f64 1.0)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 N 2) (pow.f64 1.0 2))) (log.f64 N))) (-.f64 (+.f64 (*.f64 0.3333333333333333 (/.f64 1 (pow.f64 N 3))) (*.f64 1.0 (/.f64 1 N))) (*.f64 0.5 (/.f64 1 (pow.f64 N 2)))) (-.f64 (+.f64 (*.f64 0.3333333333333333 (/.f64 1 (pow.f64 N 3))) (*.f64 1.0 (/.f64 1 N))) (*.f64 0.5 (/.f64 1 (pow.f64 N 2)))) (-.f64 (+.f64 (*.f64 1.0 N) (log.f64 1.0)) (*.f64 1/2 (/.f64 (pow.f64 N 2) (pow.f64 1.0 2)))) (-.f64 (*.f64 1.0 (/.f64 1 N)) (+.f64 (*.f64 0.5 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N)))) (-.f64 (+.f64 (*.f64 1.0 (/.f64 1 N)) (log.f64 -1)) (+.f64 (*.f64 0.5 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 -1 N)))) 0.137 * * [simplify]: iteration 0 : 4909 enodes (cost 440 ) 0.137 * * [simplify]: iteration 1 : 4909 enodes (cost 440 ) 0.139 * [simplify]: Simplified to: (/.f64 (+.f64 N 1.0) N) (log.f64 (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N))) (/.f64 (+.f64 N 1.0) N) (*.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N))) (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)))) (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N))) (pow.f64 (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)) 3) (sqrt.f64 (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N))) (sqrt.f64 (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N))) (-.f64 (pow.f64 (log.f64 (+.f64 N 1.0)) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log.f64 (+.f64 N 1.0)) (+.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)))) (neg.f64 (log.f64 N)) (-.f64 (*.f64 (log.f64 (+.f64 N 1.0)) (log.f64 (+.f64 N 1.0))) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)) (+.f64 (sqrt.f64 (log.f64 (+.f64 N 1.0))) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log.f64 (+.f64 N 1.0))) (sqrt.f64 (log.f64 N))) (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1.0)) (*.f64 2 (log.f64 (cbrt.f64 N)))) (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 (sqrt.f64 N))) (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 1)) (-.f64 (log.f64 (cbrt.f64 (+.f64 N 1.0))) (log.f64 N)) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (+.f64 (*.f64 N N) (*.f64 1.0 (-.f64 1.0 N))))) (+.f64 (log.f64 N) (log.f64 (-.f64 N 1.0))) (*.f64 (log.f64 (cbrt.f64 (+.f64 N 1.0))) 2) (log.f64 (cbrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 1) (log.f64 (+.f64 N 1.0)) (log.f64 1) (log.f64 (+.f64 N 1.0)) (log.f64 (+.f64 (pow.f64 N 3) (pow.f64 1.0 3))) (log.f64 (+.f64 (*.f64 N N) (*.f64 1.0 (-.f64 1.0 N)))) (log.f64 (-.f64 (*.f64 N N) (*.f64 1.0 1.0))) (log.f64 (-.f64 N 1.0)) (log.f64 (+.f64 N 1.0)) (log.f64 (log.f64 (+.f64 N 1.0))) (+.f64 N 1.0) (*.f64 (cbrt.f64 (log.f64 (+.f64 N 1.0))) (cbrt.f64 (log.f64 (+.f64 N 1.0)))) (cbrt.f64 (log.f64 (+.f64 N 1.0))) (pow.f64 (log.f64 (+.f64 N 1.0)) 3) (sqrt.f64 (log.f64 (+.f64 N 1.0))) (sqrt.f64 (log.f64 (+.f64 N 1.0))) (-.f64 (+.f64 (*.f64 N 1.0) (log.f64 1.0)) (+.f64 (log.f64 N) (*.f64 1/2 (/.f64 (*.f64 N N) (*.f64 1.0 1.0))))) (-.f64 (+.f64 (/.f64 0.3333333333333333 (pow.f64 N 3)) (/.f64 1.0 N)) (/.f64 0.5 (*.f64 N N))) (-.f64 (+.f64 (/.f64 0.3333333333333333 (pow.f64 N 3)) (/.f64 1.0 N)) (/.f64 0.5 (*.f64 N N))) (-.f64 (+.f64 (*.f64 N 1.0) (log.f64 1.0)) (*.f64 1/2 (/.f64 (*.f64 N N) (*.f64 1.0 1.0)))) (-.f64 (/.f64 1.0 N) (-.f64 (/.f64 0.5 (*.f64 N N)) (log.f64 N))) (-.f64 (/.f64 1.0 N) (-.f64 (/.f64 0.5 (*.f64 N N)) (log.f64 N))) 0.140 * * * [progress]: adding candidates to table 0.206 * * [progress]: iteration 2 / 4 0.206 * * * [progress]: picking best candidate 0.211 * * * * [pick]: Picked # 0.212 * * * [progress]: localizing error 0.216 * * * [progress]: generating rewritten candidates 0.216 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.221 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.228 * * * [progress]: generating series expansions 0.228 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.228 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.228 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.228 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.228 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.228 * [taylor]: Taking taylor expansion of N in N 0.228 * [taylor]: Taking taylor expansion of 1.0 in N 0.228 * [taylor]: Taking taylor expansion of N in N 0.229 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.229 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.229 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.229 * [taylor]: Taking taylor expansion of N in N 0.229 * [taylor]: Taking taylor expansion of 1.0 in N 0.229 * [taylor]: Taking taylor expansion of N in N 0.230 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.230 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.230 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.230 * [taylor]: Taking taylor expansion of N in N 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.230 * [taylor]: Taking taylor expansion of N in N 0.230 * [taylor]: Taking taylor expansion of 1.0 in N 0.230 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.230 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.230 * [taylor]: Taking taylor expansion of N in N 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.230 * [taylor]: Taking taylor expansion of N in N 0.230 * [taylor]: Taking taylor expansion of 1.0 in N 0.232 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.232 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.232 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.232 * [taylor]: Taking taylor expansion of -1 in N 0.232 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.232 * [taylor]: Taking taylor expansion of N in N 0.232 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.232 * [taylor]: Taking taylor expansion of 1.0 in N 0.232 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.232 * [taylor]: Taking taylor expansion of N in N 0.232 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.232 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.232 * [taylor]: Taking taylor expansion of -1 in N 0.232 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.232 * [taylor]: Taking taylor expansion of N in N 0.232 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.232 * [taylor]: Taking taylor expansion of 1.0 in N 0.232 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.232 * [taylor]: Taking taylor expansion of N in N 0.234 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.234 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.234 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.234 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.234 * [taylor]: Taking taylor expansion of N in N 0.234 * [taylor]: Taking taylor expansion of 1.0 in N 0.234 * [taylor]: Taking taylor expansion of N in N 0.234 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.234 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.234 * [taylor]: Taking taylor expansion of N in N 0.234 * [taylor]: Taking taylor expansion of 1.0 in N 0.234 * [taylor]: Taking taylor expansion of N in N 0.235 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.235 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [taylor]: Taking taylor expansion of 1.0 in N 0.235 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.235 * [taylor]: Taking taylor expansion of N in N 0.235 * [taylor]: Taking taylor expansion of 1.0 in N 0.237 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.237 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.237 * [taylor]: Taking taylor expansion of -1 in N 0.237 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.237 * [taylor]: Taking taylor expansion of N in N 0.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.237 * [taylor]: Taking taylor expansion of 1.0 in N 0.237 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.237 * [taylor]: Taking taylor expansion of N in N 0.237 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.237 * [taylor]: Taking taylor expansion of -1 in N 0.237 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.237 * [taylor]: Taking taylor expansion of N in N 0.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.237 * [taylor]: Taking taylor expansion of 1.0 in N 0.237 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.237 * [taylor]: Taking taylor expansion of N in N 0.240 * * * [progress]: simplifying candidates 0.241 * [simplify]: Simplifying using # : (log.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1.0) N)) (cbrt.f64 (/.f64 (+.f64 N 1.0) N)))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1.0) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (log.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 (+.f64 N 1.0))) (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 N))) (log.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 (+.f64 N 1.0))) (sqrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1.0)) (sqrt.f64 N))) (log.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 (+.f64 N 1.0))) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1.0)) N)) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (cbrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (sqrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (sqrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) N)) (log.f64 (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (log.f64 (/.f64 (+.f64 N 1.0) (cbrt.f64 N))) (log.f64 (/.f64 1 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1.0) (sqrt.f64 N))) (log.f64 (/.f64 1 1)) (log.f64 (/.f64 (+.f64 N 1.0) N)) (log.f64 (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (log.f64 (/.f64 (+.f64 N 1.0) (cbrt.f64 N))) (log.f64 (/.f64 1 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1.0) (sqrt.f64 N))) (log.f64 (/.f64 1 1)) (log.f64 (/.f64 (+.f64 N 1.0) N)) (log.f64 1) (log.f64 (/.f64 (+.f64 N 1.0) N)) (log.f64 (+.f64 N 1.0)) (log.f64 (/.f64 1 N)) (log.f64 (+.f64 N 1.0)) (log.f64 N) (log.f64 (/.f64 (+.f64 N 1.0) N)) (log.f64 (log.f64 (/.f64 (+.f64 N 1.0) N))) (exp.f64 (log.f64 (/.f64 (+.f64 N 1.0) N))) (*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1.0) N))) (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1.0) N)))) (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1.0) N))) (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 N 1.0) N)) (log.f64 (/.f64 (+.f64 N 1.0) N))) (log.f64 (/.f64 (+.f64 N 1.0) N))) (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1.0) N))) (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1.0) N))) (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)) (log.f64 (/.f64 (+.f64 N 1.0) N)) (exp.f64 (/.f64 (+.f64 N 1.0) N)) (/.f64 (*.f64 (*.f64 (+.f64 N 1.0) (+.f64 N 1.0)) (+.f64 N 1.0)) (*.f64 (*.f64 N N) N)) (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1.0) N)) (cbrt.f64 (/.f64 (+.f64 N 1.0) N))) (cbrt.f64 (/.f64 (+.f64 N 1.0) N)) (*.f64 (*.f64 (/.f64 (+.f64 N 1.0) N) (/.f64 (+.f64 N 1.0) N)) (/.f64 (+.f64 N 1.0) N)) (sqrt.f64 (/.f64 (+.f64 N 1.0) N)) (sqrt.f64 (/.f64 (+.f64 N 1.0) N)) (neg.f64 (+.f64 N 1.0)) (neg.f64 N) (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 (+.f64 N 1.0))) (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 N)) (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 (+.f64 N 1.0))) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1.0)) (sqrt.f64 N)) (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 (+.f64 N 1.0))) 1) (/.f64 (cbrt.f64 (+.f64 N 1.0)) N) (/.f64 (sqrt.f64 (+.f64 N 1.0)) (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (sqrt.f64 (+.f64 N 1.0)) (cbrt.f64 N)) (/.f64 (sqrt.f64 (+.f64 N 1.0)) (sqrt.f64 N)) (/.f64 (sqrt.f64 (+.f64 N 1.0)) (sqrt.f64 N)) (/.f64 (sqrt.f64 (+.f64 N 1.0)) 1) (/.f64 (sqrt.f64 (+.f64 N 1.0)) N) (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (+.f64 N 1.0) (cbrt.f64 N)) (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1.0) (sqrt.f64 N)) (/.f64 1 1) (/.f64 (+.f64 N 1.0) N) (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (+.f64 N 1.0) (cbrt.f64 N)) (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1.0) (sqrt.f64 N)) (/.f64 1 1) (/.f64 (+.f64 N 1.0) N) (/.f64 1 N) (/.f64 N (+.f64 N 1.0)) (/.f64 (+.f64 N 1.0) (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (+.f64 N 1.0) (sqrt.f64 N)) (/.f64 (+.f64 N 1.0) 1) (/.f64 N (cbrt.f64 (+.f64 N 1.0))) (/.f64 N (sqrt.f64 (+.f64 N 1.0))) (/.f64 N (+.f64 N 1.0)) (/.f64 N (+.f64 N 1.0)) (*.f64 N (+.f64 (*.f64 N N) (-.f64 (*.f64 1.0 1.0) (*.f64 N 1.0)))) (*.f64 N (-.f64 N 1.0)) (-.f64 (+.f64 (*.f64 1.0 N) (log.f64 1.0)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 N 2) (pow.f64 1.0 2))) (log.f64 N))) (-.f64 (+.f64 (*.f64 0.3333333333333333 (/.f64 1 (pow.f64 N 3))) (*.f64 1.0 (/.f64 1 N))) (*.f64 0.5 (/.f64 1 (pow.f64 N 2)))) (-.f64 (+.f64 (*.f64 0.3333333333333333 (/.f64 1 (pow.f64 N 3))) (*.f64 1.0 (/.f64 1 N))) (*.f64 0.5 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1.0 (/.f64 1 N)) 1) (+.f64 (*.f64 1.0 (/.f64 1 N)) 1) (+.f64 (*.f64 1.0 (/.f64 1 N)) 1) 0.281 * * [simplify]: iteration 0 : 4954 enodes (cost 625 ) 0.281 * * [simplify]: iteration 1 : 4954 enodes (cost 625 ) 0.284 * [simplify]: Simplified to: (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1.0) N))) 2) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1.0) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (*.f64 2 (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 N))) (-.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 N 1.0)))) (log.f64 (sqrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1.0)) (sqrt.f64 N))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 N 1.0)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1.0)) N)) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (cbrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (sqrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (sqrt.f64 N))) (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) N)) (*.f64 (log.f64 (cbrt.f64 N)) -2) (log.f64 (/.f64 (+.f64 N 1.0) (cbrt.f64 N))) (neg.f64 (log.f64 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1.0) (sqrt.f64 N))) (log.f64 1) (log.f64 (/.f64 (+.f64 N 1.0) N)) (*.f64 (log.f64 (cbrt.f64 N)) -2) (log.f64 (/.f64 (+.f64 N 1.0) (cbrt.f64 N))) (neg.f64 (log.f64 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1.0) (sqrt.f64 N))) (log.f64 1) (log.f64 (/.f64 (+.f64 N 1.0) N)) (log.f64 1) (log.f64 (/.f64 (+.f64 N 1.0) N)) (log.f64 (+.f64 N 1.0)) (neg.f64 (log.f64 N)) (log.f64 (+.f64 N 1.0)) (log.f64 N) (log.f64 (/.f64 (+.f64 N 1.0) N)) (log.f64 (log.f64 (/.f64 (+.f64 N 1.0) N))) (/.f64 (+.f64 N 1.0) N) (*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1.0) N))) (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1.0) N)))) (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1.0) N))) (pow.f64 (log.f64 (/.f64 (+.f64 N 1.0) N)) 3) (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1.0) N))) (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1.0) N))) (log.f64 (/.f64 (+.f64 N 1.0) N)) (log.f64 (/.f64 (+.f64 N 1.0) N)) (exp.f64 (/.f64 (+.f64 N 1.0) N)) (pow.f64 (/.f64 (+.f64 N 1.0) N) 3) (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1.0) N)) (cbrt.f64 (/.f64 (+.f64 N 1.0) N))) (cbrt.f64 (/.f64 (+.f64 N 1.0) N)) (pow.f64 (/.f64 (+.f64 N 1.0) N) 3) (sqrt.f64 (/.f64 (+.f64 N 1.0) N)) (sqrt.f64 (/.f64 (+.f64 N 1.0) N)) (neg.f64 (+.f64 N 1.0)) (neg.f64 N) (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 (+.f64 N 1.0))) (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 N)) (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 (+.f64 N 1.0))) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1.0)) (sqrt.f64 N)) (*.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 (+.f64 N 1.0))) (/.f64 (cbrt.f64 (+.f64 N 1.0)) N) (/.f64 (sqrt.f64 (+.f64 N 1.0)) (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (sqrt.f64 (+.f64 N 1.0)) (cbrt.f64 N)) (/.f64 (sqrt.f64 (+.f64 N 1.0)) (sqrt.f64 N)) (/.f64 (sqrt.f64 (+.f64 N 1.0)) (sqrt.f64 N)) (sqrt.f64 (+.f64 N 1.0)) (/.f64 (sqrt.f64 (+.f64 N 1.0)) N) (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (+.f64 N 1.0) (cbrt.f64 N)) (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1.0) (sqrt.f64 N)) 1 (/.f64 (+.f64 N 1.0) N) (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (+.f64 N 1.0) (cbrt.f64 N)) (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1.0) (sqrt.f64 N)) 1 (/.f64 (+.f64 N 1.0) N) (/.f64 1 N) (/.f64 N (+.f64 N 1.0)) (/.f64 (+.f64 N 1.0) (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (+.f64 N 1.0) (sqrt.f64 N)) (+.f64 N 1.0) (/.f64 N (cbrt.f64 (+.f64 N 1.0))) (/.f64 N (sqrt.f64 (+.f64 N 1.0))) (/.f64 N (+.f64 N 1.0)) (/.f64 N (+.f64 N 1.0)) (*.f64 N (+.f64 (*.f64 N N) (*.f64 1.0 (-.f64 1.0 N)))) (*.f64 N (-.f64 N 1.0)) (-.f64 (+.f64 (*.f64 N 1.0) (log.f64 1.0)) (+.f64 (log.f64 N) (*.f64 1/2 (/.f64 (*.f64 N N) (*.f64 1.0 1.0))))) (+.f64 (/.f64 0.3333333333333333 (pow.f64 N 3)) (-.f64 (/.f64 1.0 N) (/.f64 0.5 (*.f64 N N)))) (+.f64 (/.f64 0.3333333333333333 (pow.f64 N 3)) (-.f64 (/.f64 1.0 N) (/.f64 0.5 (*.f64 N N)))) (/.f64 (+.f64 N 1.0) N) (/.f64 (+.f64 N 1.0) N) (/.f64 (+.f64 N 1.0) N) 0.285 * * * [progress]: adding candidates to table 0.354 * * [progress]: iteration 3 / 4 0.354 * * * [progress]: picking best candidate 0.359 * * * * [pick]: Picked # 0.359 * * * [progress]: localizing error 0.366 * * * [progress]: generating rewritten candidates 0.366 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.372 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.378 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.382 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.392 * * * [progress]: generating series expansions 0.392 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.392 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.392 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.392 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.392 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.392 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.392 * [taylor]: Taking taylor expansion of N in N 0.392 * [taylor]: Taking taylor expansion of 1.0 in N 0.392 * [taylor]: Taking taylor expansion of N in N 0.392 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.392 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.392 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.392 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.392 * [taylor]: Taking taylor expansion of N in N 0.392 * [taylor]: Taking taylor expansion of 1.0 in N 0.392 * [taylor]: Taking taylor expansion of N in N 0.395 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.395 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.395 * [taylor]: Taking taylor expansion of (sqrt (* 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 0.395 * [taylor]: Taking taylor expansion of N in N 0.395 * [taylor]: Taking taylor expansion of 1.0 in N 0.395 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.395 * [taylor]: Taking taylor expansion of (sqrt (* 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 0.395 * [taylor]: Taking taylor expansion of N in N 0.395 * [taylor]: Taking taylor expansion of 1.0 in N 0.397 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.397 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.397 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.397 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.397 * [taylor]: Taking taylor expansion of -1 in N 0.397 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.397 * [taylor]: Taking taylor expansion of N in N 0.397 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.397 * [taylor]: Taking taylor expansion of 1.0 in N 0.397 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.397 * [taylor]: Taking taylor expansion of N in N 0.397 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.397 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.397 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.397 * [taylor]: Taking taylor expansion of -1 in N 0.397 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.398 * [taylor]: Taking taylor expansion of N in N 0.398 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.398 * [taylor]: Taking taylor expansion of 1.0 in N 0.398 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.398 * [taylor]: Taking taylor expansion of N in N 0.399 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.400 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.400 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.400 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.400 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.400 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.400 * [taylor]: Taking taylor expansion of N in N 0.400 * [taylor]: Taking taylor expansion of 1.0 in N 0.400 * [taylor]: Taking taylor expansion of N in N 0.400 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.400 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.400 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.400 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.400 * [taylor]: Taking taylor expansion of N in N 0.400 * [taylor]: Taking taylor expansion of 1.0 in N 0.400 * [taylor]: Taking taylor expansion of N in N 0.402 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.402 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.402 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.402 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.402 * [taylor]: Taking taylor expansion of N in N 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.402 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.402 * [taylor]: Taking taylor expansion of N in N 0.402 * [taylor]: Taking taylor expansion of 1.0 in N 0.403 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.403 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.403 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.403 * [taylor]: Taking taylor expansion of N in N 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.403 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.403 * [taylor]: Taking taylor expansion of N in N 0.403 * [taylor]: Taking taylor expansion of 1.0 in N 0.404 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.404 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.404 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.404 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.405 * [taylor]: Taking taylor expansion of -1 in N 0.405 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.405 * [taylor]: Taking taylor expansion of N in N 0.405 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.405 * [taylor]: Taking taylor expansion of 1.0 in N 0.405 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.405 * [taylor]: Taking taylor expansion of N in N 0.405 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.405 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.405 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.405 * [taylor]: Taking taylor expansion of -1 in N 0.405 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.405 * [taylor]: Taking taylor expansion of N in N 0.405 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.405 * [taylor]: Taking taylor expansion of 1.0 in N 0.405 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.405 * [taylor]: Taking taylor expansion of N in N 0.407 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.407 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 0.407 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.407 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.407 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.407 * [taylor]: Taking taylor expansion of N in N 0.407 * [taylor]: Taking taylor expansion of 1.0 in N 0.407 * [taylor]: Taking taylor expansion of N in N 0.407 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.407 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.407 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.407 * [taylor]: Taking taylor expansion of N in N 0.407 * [taylor]: Taking taylor expansion of 1.0 in N 0.407 * [taylor]: Taking taylor expansion of N in N 0.409 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.409 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.409 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.409 * [taylor]: Taking taylor expansion of N in N 0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.409 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.409 * [taylor]: Taking taylor expansion of N in N 0.409 * [taylor]: Taking taylor expansion of 1.0 in N 0.409 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.409 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.409 * [taylor]: Taking taylor expansion of N in N 0.409 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.409 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.409 * [taylor]: Taking taylor expansion of N in N 0.409 * [taylor]: Taking taylor expansion of 1.0 in N 0.410 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.410 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.410 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.410 * [taylor]: Taking taylor expansion of -1 in N 0.410 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.410 * [taylor]: Taking taylor expansion of N in N 0.410 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.410 * [taylor]: Taking taylor expansion of 1.0 in N 0.410 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.410 * [taylor]: Taking taylor expansion of N in N 0.411 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.411 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.411 * [taylor]: Taking taylor expansion of -1 in N 0.411 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.411 * [taylor]: Taking taylor expansion of N in N 0.411 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.411 * [taylor]: Taking taylor expansion of 1.0 in N 0.411 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.411 * [taylor]: Taking taylor expansion of N in N 0.412 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.412 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 0.412 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.412 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.412 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.412 * [taylor]: Taking taylor expansion of N in N 0.412 * [taylor]: Taking taylor expansion of 1.0 in N 0.412 * [taylor]: Taking taylor expansion of N in N 0.412 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.412 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.412 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.412 * [taylor]: Taking taylor expansion of N in N 0.412 * [taylor]: Taking taylor expansion of 1.0 in N 0.412 * [taylor]: Taking taylor expansion of N in N 0.413 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.413 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.413 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.413 * [taylor]: Taking taylor expansion of N in N 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.413 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.413 * [taylor]: Taking taylor expansion of N in N 0.413 * [taylor]: Taking taylor expansion of 1.0 in N 0.414 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.414 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.414 * [taylor]: Taking taylor expansion of N in N 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.414 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.414 * [taylor]: Taking taylor expansion of N in N 0.414 * [taylor]: Taking taylor expansion of 1.0 in N 0.415 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.415 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.415 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.415 * [taylor]: Taking taylor expansion of -1 in N 0.415 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.415 * [taylor]: Taking taylor expansion of N in N 0.415 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.415 * [taylor]: Taking taylor expansion of 1.0 in N 0.415 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.415 * [taylor]: Taking taylor expansion of N in N 0.415 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.415 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.415 * [taylor]: Taking taylor expansion of -1 in N 0.415 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.415 * [taylor]: Taking taylor expansion of N in N 0.415 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.415 * [taylor]: Taking taylor expansion of 1.0 in N 0.415 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.415 * [taylor]: Taking taylor expansion of N in N 0.416 * * * [progress]: simplifying candidates 0.418 * [simplify]: Simplifying using # : (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (log.f64 (sqrt.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1.0) N)) (cbrt.f64 (/.f64 (+.f64 N 1.0) N))))) (log.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1.0) N)))) (log.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (log.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (log.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 (+.f64 N 1.0))) (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (log.f64 (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 (+.f64 N 1.0))) (sqrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 N 1.0)) (sqrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 (+.f64 N 1.0))) 1))) (log.f64 (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 N 1.0)) N))) (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (cbrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (sqrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (sqrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) 1))) (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) N))) (log.f64 (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) (cbrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) (sqrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 1 1))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (log.f64 (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) (cbrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) (sqrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 1 1))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (log.f64 (sqrt.f64 1)) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 (/.f64 1 N))) (log.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (log.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (log.f64 1) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 N)) (log.f64 (/.f64 (+.f64 N 1.0) N)) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (log.f64 (/.f64 (+.f64 N 1.0) N)) (log.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (exp.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))))) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (log.f64 (sqrt.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1.0) N)) (cbrt.f64 (/.f64 (+.f64 N 1.0) N))))) (log.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1.0) N)))) (log.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (log.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (log.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 (+.f64 N 1.0))) (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (log.f64 (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 (+.f64 N 1.0))) (sqrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 N 1.0)) (sqrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 (+.f64 N 1.0))) 1))) (log.f64 (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 N 1.0)) N))) (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (cbrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (sqrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (sqrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) 1))) (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) N))) (log.f64 (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) (cbrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) (sqrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 1 1))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (log.f64 (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) (cbrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) (sqrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 1 1))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (log.f64 (sqrt.f64 1)) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 (/.f64 1 N))) (log.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (log.f64 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (log.f64 1) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 N)) (log.f64 (/.f64 (+.f64 N 1.0) N)) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (log.f64 (/.f64 (+.f64 N 1.0) N)) (log.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (exp.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))))) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (exp.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)) (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (sqrt.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1.0) N)) (cbrt.f64 (/.f64 (+.f64 N 1.0) N)))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1.0) N))) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 (+.f64 N 1.0))) (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 N))) (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 (+.f64 N 1.0))) (sqrt.f64 N))) (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 N 1.0)) (sqrt.f64 N))) (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 (+.f64 N 1.0))) 1)) (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 N 1.0)) N)) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (cbrt.f64 N))) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (sqrt.f64 N))) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (sqrt.f64 N))) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) 1)) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) N)) (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (sqrt.f64 (/.f64 (+.f64 N 1.0) (cbrt.f64 N))) (sqrt.f64 (/.f64 1 (sqrt.f64 N))) (sqrt.f64 (/.f64 (+.f64 N 1.0) (sqrt.f64 N))) (sqrt.f64 (/.f64 1 1)) (sqrt.f64 (/.f64 (+.f64 N 1.0) N)) (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (sqrt.f64 (/.f64 (+.f64 N 1.0) (cbrt.f64 N))) (sqrt.f64 (/.f64 1 (sqrt.f64 N))) (sqrt.f64 (/.f64 (+.f64 N 1.0) 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(+.f64 N 1.0) N)) (sqrt.f64 (+.f64 N 1.0)) (sqrt.f64 (/.f64 1 N)) (sqrt.f64 (+.f64 N 1.0)) (sqrt.f64 N) 1/2 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (exp.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (pow.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)) 3) (fabs.f64 (cbrt.f64 (/.f64 (+.f64 N 1.0) N))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 N 1.0) N))) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (fabs.f64 (/.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 N))) (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 N))) (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 (+.f64 N 1.0))) (sqrt.f64 N))) (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 N 1.0)) (sqrt.f64 N))) (fabs.f64 (cbrt.f64 (+.f64 N 1.0))) (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 N 1.0)) N)) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (cbrt.f64 N))) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (sqrt.f64 N))) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) (sqrt.f64 N))) (sqrt.f64 (sqrt.f64 (+.f64 N 1.0))) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 N 1.0)) N)) (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (sqrt.f64 (/.f64 (+.f64 N 1.0) (cbrt.f64 N))) (sqrt.f64 (/.f64 1 (sqrt.f64 N))) (sqrt.f64 (/.f64 (+.f64 N 1.0) (sqrt.f64 N))) 1 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)) (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (sqrt.f64 (/.f64 (+.f64 N 1.0) (cbrt.f64 N))) (sqrt.f64 (/.f64 1 (sqrt.f64 N))) (sqrt.f64 (/.f64 (+.f64 N 1.0) (sqrt.f64 N))) 1 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)) 1 (sqrt.f64 (/.f64 (+.f64 N 1.0) N)) (sqrt.f64 (+.f64 N 1.0)) (sqrt.f64 (/.f64 1 N)) (sqrt.f64 (+.f64 N 1.0)) (sqrt.f64 N) 1/2 (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (sqrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1.0) N))) (+.f64 (*.f64 (*.f64 N N) (+.f64 (*.f64 3/2 (pow.f64 NAN.f64 4)) -1/2)) (-.f64 (+.f64 N (log.f64 NAN.f64)) (*.f64 N (*.f64 NAN.f64 (+.f64 NAN.f64 (*.f64 N NAN.f64)))))) (-.f64 (+.f64 (/.f64 0.16666666666666666 (pow.f64 N 3)) (/.f64 0.5 N)) (/.f64 0.25 (*.f64 N N))) (-.f64 (+.f64 (/.f64 0.16666666666666666 (pow.f64 N 3)) (/.f64 0.5 N)) (/.f64 0.25 (*.f64 N N))) (+.f64 (*.f64 (*.f64 N N) (+.f64 (*.f64 3/2 (pow.f64 NAN.f64 4)) -1/2)) (-.f64 (+.f64 N (log.f64 NAN.f64)) (*.f64 N (*.f64 NAN.f64 (+.f64 NAN.f64 (*.f64 N NAN.f64)))))) (-.f64 (+.f64 (/.f64 0.16666666666666666 (pow.f64 N 3)) (/.f64 0.5 N)) (/.f64 0.25 (*.f64 N N))) (-.f64 (+.f64 (/.f64 0.16666666666666666 (pow.f64 N 3)) (/.f64 0.5 N)) (/.f64 0.25 (*.f64 N N))) (+.f64 NAN.f64 (+.f64 (*.f64 N NAN.f64) (*.f64 N (-.f64 (*.f64 N (*.f64 2 (-.f64 (pow.f64 NAN.f64 5) (pow.f64 NAN.f64 3)))) (pow.f64 NAN.f64 3))))) (-.f64 (+.f64 1 (/.f64 0.5 N)) (/.f64 0.125 (*.f64 N N))) (-.f64 (+.f64 1 (/.f64 0.5 N)) (/.f64 0.125 (*.f64 N N))) (+.f64 NAN.f64 (+.f64 (*.f64 N NAN.f64) (*.f64 N (-.f64 (*.f64 N (*.f64 2 (-.f64 (pow.f64 NAN.f64 5) (pow.f64 NAN.f64 3)))) (pow.f64 NAN.f64 3))))) (-.f64 (+.f64 1 (/.f64 0.5 N)) (/.f64 0.125 (*.f64 N N))) (-.f64 (+.f64 1 (/.f64 0.5 N)) (/.f64 0.125 (*.f64 N N))) 0.473 * * * [progress]: adding candidates to table 0.644 * * [progress]: iteration 4 / 4 0.644 * * * [progress]: picking best candidate 0.648 * * * * [pick]: Picked # 0.648 * * * [progress]: localizing error 0.661 * * * [progress]: generating rewritten candidates 0.661 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.671 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.676 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.680 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.691 * * * [progress]: generating series expansions 0.691 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.691 * [approximate]: Taking taylor expansion of (- (log (sqrt (+ N 1.0))) (log (sqrt N))) in (N) around 0 0.691 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ N 1.0))) (log (sqrt N))) in N 0.691 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.691 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.691 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.691 * [taylor]: Taking taylor expansion of N in N 0.691 * [taylor]: Taking taylor expansion of 1.0 in N 0.691 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 0.691 * [taylor]: Taking taylor expansion of (sqrt N) in N 0.691 * [taylor]: Taking taylor expansion of N in N 0.692 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ N 1.0))) (log (sqrt N))) in N 0.692 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.692 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.692 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.692 * [taylor]: Taking taylor expansion of N in N 0.692 * [taylor]: Taking taylor expansion of 1.0 in N 0.692 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 0.692 * [taylor]: Taking taylor expansion of (sqrt N) in N 0.692 * [taylor]: Taking taylor expansion of N in N 0.696 * [approximate]: Taking taylor expansion of (- (log (sqrt (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in (N) around 0 0.696 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 0.696 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 0.696 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.696 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.696 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.696 * [taylor]: Taking taylor expansion of N in N 0.696 * [taylor]: Taking taylor expansion of 1.0 in N 0.696 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 0.696 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 0.696 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.696 * [taylor]: Taking taylor expansion of N in N 0.696 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 0.696 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 0.696 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.697 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.697 * [taylor]: Taking taylor expansion of N in N 0.697 * [taylor]: Taking taylor expansion of 1.0 in N 0.697 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 0.697 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 0.697 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.697 * [taylor]: Taking taylor expansion of N in N 0.704 * [approximate]: Taking taylor expansion of (- (log (sqrt (- 1.0 (/ 1 N)))) (log (sqrt (/ -1 N)))) in (N) around 0 0.704 * [taylor]: Taking taylor expansion of (- (log (sqrt (- 1.0 (/ 1 N)))) (log (sqrt (/ -1 N)))) in N 0.704 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 0.704 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.705 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.705 * [taylor]: Taking taylor expansion of 1.0 in N 0.705 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.705 * [taylor]: Taking taylor expansion of N in N 0.705 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 0.705 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 0.705 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.705 * [taylor]: Taking taylor expansion of -1 in N 0.705 * [taylor]: Taking taylor expansion of N in N 0.705 * [taylor]: Taking taylor expansion of (- (log (sqrt (- 1.0 (/ 1 N)))) (log (sqrt (/ -1 N)))) in N 0.705 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 0.705 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.705 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.705 * [taylor]: Taking taylor expansion of 1.0 in N 0.705 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.705 * [taylor]: Taking taylor expansion of N in N 0.705 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 0.705 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 0.705 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.705 * [taylor]: Taking taylor expansion of -1 in N 0.705 * [taylor]: Taking taylor expansion of N in N 0.713 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.713 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 0.713 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.713 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.713 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.713 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.713 * [taylor]: Taking taylor expansion of N in N 0.713 * [taylor]: Taking taylor expansion of 1.0 in N 0.713 * [taylor]: Taking taylor expansion of N in N 0.713 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 0.713 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.713 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.713 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.713 * [taylor]: Taking taylor expansion of N in N 0.713 * [taylor]: Taking taylor expansion of 1.0 in N 0.713 * [taylor]: Taking taylor expansion of N in N 0.716 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 0.716 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.716 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.716 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.716 * [taylor]: Taking taylor expansion of N in N 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.716 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.716 * [taylor]: Taking taylor expansion of N in N 0.716 * [taylor]: Taking taylor expansion of 1.0 in N 0.716 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 0.716 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.716 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.716 * [taylor]: Taking taylor expansion of N in N 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.716 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.716 * [taylor]: Taking taylor expansion of N in N 0.716 * [taylor]: Taking taylor expansion of 1.0 in N 0.718 * [approximate]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in (N) around 0 0.718 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.718 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.718 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.718 * [taylor]: Taking taylor expansion of -1 in N 0.718 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.718 * [taylor]: Taking taylor expansion of N in N 0.718 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.718 * [taylor]: Taking taylor expansion of 1.0 in N 0.718 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.718 * [taylor]: Taking taylor expansion of N in N 0.719 * [taylor]: Taking taylor expansion of (log (sqrt (* -1 (* N (- 1.0 (/ 1 N)))))) in N 0.719 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.719 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.719 * [taylor]: Taking taylor expansion of -1 in N 0.719 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.719 * [taylor]: Taking taylor expansion of N in N 0.719 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.719 * [taylor]: Taking taylor expansion of 1.0 in N 0.719 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.719 * [taylor]: Taking taylor expansion of N in N 0.721 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.721 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in (N) around 0 0.721 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.721 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.721 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.721 * [taylor]: Taking taylor expansion of N in N 0.721 * [taylor]: Taking taylor expansion of 1.0 in N 0.721 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1.0))) in N 0.721 * [taylor]: Taking taylor expansion of (sqrt (+ N 1.0)) in N 0.721 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.721 * [taylor]: Taking taylor expansion of N in N 0.721 * [taylor]: Taking taylor expansion of 1.0 in N 0.722 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in (N) around 0 0.722 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 0.722 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.722 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.722 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.722 * [taylor]: Taking taylor expansion of N in N 0.723 * [taylor]: Taking taylor expansion of 1.0 in N 0.723 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1.0))) in N 0.723 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1.0)) in N 0.723 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.723 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.723 * [taylor]: Taking taylor expansion of N in N 0.723 * [taylor]: Taking taylor expansion of 1.0 in N 0.725 * [approximate]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in (N) around 0 0.725 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 0.725 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.725 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.725 * [taylor]: Taking taylor expansion of 1.0 in N 0.725 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.725 * [taylor]: Taking taylor expansion of N in N 0.725 * [taylor]: Taking taylor expansion of (log (sqrt (- 1.0 (/ 1 N)))) in N 0.725 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 0.725 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.725 * [taylor]: Taking taylor expansion of 1.0 in N 0.726 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.726 * [taylor]: Taking taylor expansion of N in N 0.728 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.728 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 0.728 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.728 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.728 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.728 * [taylor]: Taking taylor expansion of N in N 0.728 * [taylor]: Taking taylor expansion of 1.0 in N 0.728 * [taylor]: Taking taylor expansion of N in N 0.728 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 0.728 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.728 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.728 * [taylor]: Taking taylor expansion of N in N 0.728 * [taylor]: Taking taylor expansion of 1.0 in N 0.728 * [taylor]: Taking taylor expansion of N in N 0.730 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.730 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.730 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.730 * [taylor]: Taking taylor expansion of N in N 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.730 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.730 * [taylor]: Taking taylor expansion of N in N 0.730 * [taylor]: Taking taylor expansion of 1.0 in N 0.730 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 0.730 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.730 * [taylor]: Taking taylor expansion of N in N 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.730 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.730 * [taylor]: Taking taylor expansion of N in N 0.730 * [taylor]: Taking taylor expansion of 1.0 in N 0.731 * [approximate]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.731 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.731 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.731 * [taylor]: Taking taylor expansion of -1 in N 0.731 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.731 * [taylor]: Taking taylor expansion of N in N 0.731 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.731 * [taylor]: Taking taylor expansion of 1.0 in N 0.731 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.731 * [taylor]: Taking taylor expansion of N in N 0.731 * [taylor]: Taking taylor expansion of (sqrt (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.731 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.731 * [taylor]: Taking taylor expansion of -1 in N 0.731 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.731 * [taylor]: Taking taylor expansion of N in N 0.732 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.732 * [taylor]: Taking taylor expansion of 1.0 in N 0.732 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.732 * [taylor]: Taking taylor expansion of N in N 0.732 * * * [progress]: simplifying candidates 0.734 * [simplify]: Simplifying using # : (/.f64 (sqrt.f64 (+.f64 N 1.0)) (sqrt.f64 N)) (log.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 N)))) (exp.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 N)))) (*.f64 (cbrt.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 N)))) (cbrt.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 N))))) (cbrt.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 N)))) (*.f64 (*.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 N))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 N)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 N)))) (sqrt.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 N)))) (sqrt.f64 (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 N)))) (-.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) 3) (pow.f64 (log.f64 (sqrt.f64 N)) 3)) (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 (+.f64 N 1.0)))) (+.f64 (*.f64 (log.f64 (sqrt.f64 N)) (log.f64 (sqrt.f64 N))) (*.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 N))))) (neg.f64 (log.f64 (sqrt.f64 N))) (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 (+.f64 N 1.0)))) (*.f64 (log.f64 (sqrt.f64 N)) (log.f64 (sqrt.f64 N)))) (+.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 N))) (+.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0)))) (sqrt.f64 (log.f64 (sqrt.f64 N)))) (-.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0)))) (sqrt.f64 (log.f64 (sqrt.f64 N)))) (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 N))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 N))) (-.f64 (log.f64 (+.f64 N 1.0)) (log.f64 N)) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 N))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 N))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 (sqrt.f64 N))))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 (sqrt.f64 N)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1.0))) (log.f64 (sqrt.f64 (sqrt.f64 N)))) (-.f64 (log.f64 (sqrt.f64 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