17.626 * [progress]: [Phase 1 of 3] Setting up. 0.000 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.036 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying using # : (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0.050 * * [simplify]: iteration 0 : 72 enodes (cost 11 ) 0.050 * * [simplify]: iteration 1 : 72 enodes (cost 11 ) 0.050 * [simplify]: Simplified to: (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 0.051 * * [progress]: iteration 1 / 4 0.051 * * * [progress]: picking best candidate 0.052 * * * * [pick]: Picked # 0.052 * * * [progress]: localizing error 0.058 * * * [progress]: generating rewritten candidates 0.058 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.065 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.069 * * * [progress]: generating series expansions 0.069 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.070 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.070 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.070 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.070 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.070 * [taylor]: Taking taylor expansion of N in N 0.070 * [taylor]: Taking taylor expansion of 1 in N 0.070 * [taylor]: Taking taylor expansion of (log N) in N 0.070 * [taylor]: Taking taylor expansion of N in N 0.070 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.070 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.070 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.070 * [taylor]: Taking taylor expansion of N in N 0.070 * [taylor]: Taking taylor expansion of 1 in N 0.071 * [taylor]: Taking taylor expansion of (log N) in N 0.071 * [taylor]: Taking taylor expansion of N in N 0.076 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.076 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.076 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.076 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.076 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.076 * [taylor]: Taking taylor expansion of N in N 0.076 * [taylor]: Taking taylor expansion of 1 in N 0.077 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.077 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.077 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.077 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.077 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.077 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.077 * [taylor]: Taking taylor expansion of 1 in N 0.077 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.077 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.077 * [taylor]: Taking taylor expansion of N in N 0.087 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.087 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.087 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.087 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.087 * [taylor]: Taking taylor expansion of 1 in N 0.087 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.087 * [taylor]: Taking taylor expansion of N in N 0.087 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.087 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.087 * [taylor]: Taking taylor expansion of -1 in N 0.088 * [taylor]: Taking taylor expansion of N in N 0.088 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.088 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.088 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.088 * [taylor]: Taking taylor expansion of 1 in N 0.088 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.088 * [taylor]: Taking taylor expansion of N in N 0.088 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.088 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.088 * [taylor]: Taking taylor expansion of -1 in N 0.088 * [taylor]: Taking taylor expansion of N in N 0.099 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.099 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.099 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.099 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.099 * [taylor]: Taking taylor expansion of N in N 0.099 * [taylor]: Taking taylor expansion of 1 in N 0.099 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.099 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.099 * [taylor]: Taking taylor expansion of N in N 0.099 * [taylor]: Taking taylor expansion of 1 in N 0.103 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.103 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.103 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.103 * [taylor]: Taking taylor expansion of N in N 0.103 * [taylor]: Taking taylor expansion of 1 in N 0.103 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.103 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.103 * [taylor]: Taking taylor expansion of N in N 0.103 * [taylor]: Taking taylor expansion of 1 in N 0.107 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.107 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.107 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.107 * [taylor]: Taking taylor expansion of 1 in N 0.107 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.107 * [taylor]: Taking taylor expansion of N in N 0.107 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.107 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.107 * [taylor]: Taking taylor expansion of 1 in N 0.107 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.107 * [taylor]: Taking taylor expansion of N in N 0.112 * * * [progress]: simplifying candidates 0.112 * [simplify]: Simplifying using # : (/.f64 (+.f64 N 1) N) (exp.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (log.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (*.f64 (*.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (*.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (sqrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (sqrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (-.f64 (pow.f64 (log.f64 (+.f64 N 1)) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (log.f64 (+.f64 N 1)) (log.f64 (+.f64 N 1))) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (neg.f64 (log.f64 N)) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) (log.f64 (+.f64 N 1))) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (+.f64 (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 N))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (+.f64 (log.f64 (+.f64 (*.f64 N N) (-.f64 (*.f64 1 1) (*.f64 N 1)))) (log.f64 N)) (+.f64 (log.f64 (-.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 N)) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 (sqrt.f64 N))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 1)) (log.f64 (+.f64 N 1)) (log.f64 (+.f64 (pow.f64 N 3) (pow.f64 1 3))) (log.f64 (+.f64 (*.f64 N N) (-.f64 (*.f64 1 1) (*.f64 N 1)))) (log.f64 (-.f64 (*.f64 N N) (*.f64 1 1))) (log.f64 (-.f64 N 1)) (log.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1)))) (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 1) (log.f64 (+.f64 N 1)) (log.f64 1) (log.f64 (+.f64 N 1)) (exp.f64 (log.f64 (+.f64 N 1))) (log.f64 (log.f64 (+.f64 N 1))) (*.f64 (*.f64 (log.f64 (+.f64 N 1)) (log.f64 (+.f64 N 1))) (log.f64 (+.f64 N 1))) (*.f64 (cbrt.f64 (log.f64 (+.f64 N 1))) (cbrt.f64 (log.f64 (+.f64 N 1)))) (cbrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) (-.f64 N (+.f64 (*.f64 1/2 (pow.f64 N 2)) (log.f64 N))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (-.f64 (+.f64 N (*.f64 1/3 (pow.f64 N 3))) (*.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N)))) (-.f64 (+.f64 (/.f64 1 N) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 -1 N)))) 0.200 * * [simplify]: iteration 0 : 4911 enodes (cost 648 ) 0.200 * * [simplify]: iteration 1 : 4911 enodes (cost 648 ) 0.204 * [simplify]: Simplified to: (/.f64 (+.f64 N 1) N) (/.f64 (+.f64 N 1) N) (log.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 3) (*.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (sqrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (sqrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (-.f64 (pow.f64 (log.f64 (+.f64 N 1)) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (log.f64 (+.f64 N 1)) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (neg.f64 (log.f64 N)) (-.f64 (*.f64 (log.f64 (+.f64 N 1)) (log.f64 (+.f64 N 1))) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (+.f64 (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 N))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (+.f64 (log.f64 N) (log.f64 (+.f64 (*.f64 N N) (-.f64 1 N)))) (+.f64 (log.f64 N) (log.f64 (-.f64 N 1))) (-.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 N)) (-.f64 (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (cbrt.f64 N)))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 (sqrt.f64 N))) (log.f64 (+.f64 N 1)) (log.f64 (+.f64 N 1)) (log.f64 (+.f64 1 (pow.f64 N 3))) (log.f64 (+.f64 (*.f64 N N) (-.f64 1 N))) (log.f64 (-.f64 (*.f64 N N) 1)) (log.f64 (-.f64 N 1)) (*.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) 2) (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 1) (log.f64 (+.f64 N 1)) (log.f64 1) (log.f64 (+.f64 N 1)) (+.f64 N 1) (log.f64 (log.f64 (+.f64 N 1))) (pow.f64 (log.f64 (+.f64 N 1)) 3) (*.f64 (cbrt.f64 (log.f64 (+.f64 N 1))) (cbrt.f64 (log.f64 (+.f64 N 1)))) (cbrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) (-.f64 N (+.f64 (log.f64 N) (*.f64 (*.f64 N N) 1/2))) (-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N))) (-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N))) (*.f64 N (+.f64 1 (*.f64 N (+.f64 (*.f64 N 1/3) -1/2)))) (-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (*.f64 N N)) (log.f64 N))) (-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (*.f64 N N)) (log.f64 N))) 0.204 * * * [progress]: adding candidates to table 0.243 * * [progress]: iteration 2 / 4 0.243 * * * [progress]: picking best candidate 0.245 * * * * [pick]: Picked # 0.245 * * * [progress]: localizing error 0.251 * * * [progress]: generating rewritten candidates 0.251 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.256 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.264 * * * [progress]: generating series expansions 0.264 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.264 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 0.264 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 0.264 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 0.264 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.264 * [taylor]: Taking taylor expansion of N in N 0.264 * [taylor]: Taking taylor expansion of 1 in N 0.264 * [taylor]: Taking taylor expansion of N in N 0.265 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 0.265 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 0.265 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.265 * [taylor]: Taking taylor expansion of N in N 0.265 * [taylor]: Taking taylor expansion of 1 in N 0.265 * [taylor]: Taking taylor expansion of N in N 0.268 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 0.268 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 0.268 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 0.268 * [taylor]: Taking taylor expansion of N in N 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.269 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.269 * [taylor]: Taking taylor expansion of N in N 0.269 * [taylor]: Taking taylor expansion of 1 in N 0.269 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 0.269 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 0.269 * [taylor]: Taking taylor expansion of N in N 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.269 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.269 * [taylor]: Taking taylor expansion of N in N 0.269 * [taylor]: Taking taylor expansion of 1 in N 0.277 * [approximate]: Taking taylor expansion of (log (* -1 (* (- 1 (/ 1 N)) N))) in (N) around 0 0.277 * [taylor]: Taking taylor expansion of (log (* -1 (* (- 1 (/ 1 N)) N))) in N 0.277 * [taylor]: Taking taylor expansion of (* -1 (* (- 1 (/ 1 N)) N)) in N 0.277 * [taylor]: Taking taylor expansion of -1 in N 0.277 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 N)) N) in N 0.277 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.277 * [taylor]: Taking taylor expansion of 1 in N 0.277 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.277 * [taylor]: Taking taylor expansion of N in N 0.277 * [taylor]: Taking taylor expansion of N in N 0.278 * [taylor]: Taking taylor expansion of (log (* -1 (* (- 1 (/ 1 N)) N))) in N 0.278 * [taylor]: Taking taylor expansion of (* -1 (* (- 1 (/ 1 N)) N)) in N 0.278 * [taylor]: Taking taylor expansion of -1 in N 0.278 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 N)) N) in N 0.278 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.278 * [taylor]: Taking taylor expansion of 1 in N 0.278 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.278 * [taylor]: Taking taylor expansion of N in N 0.278 * [taylor]: Taking taylor expansion of N in N 0.286 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.287 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 0.287 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 0.287 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.287 * [taylor]: Taking taylor expansion of N in N 0.287 * [taylor]: Taking taylor expansion of 1 in N 0.287 * [taylor]: Taking taylor expansion of N in N 0.287 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 0.287 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.287 * [taylor]: Taking taylor expansion of N in N 0.287 * [taylor]: Taking taylor expansion of 1 in N 0.287 * [taylor]: Taking taylor expansion of N in N 0.292 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 0.292 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 0.292 * [taylor]: Taking taylor expansion of N in N 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.293 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.293 * [taylor]: Taking taylor expansion of N in N 0.293 * [taylor]: Taking taylor expansion of 1 in N 0.293 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 0.293 * [taylor]: Taking taylor expansion of N in N 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.293 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.293 * [taylor]: Taking taylor expansion of N in N 0.293 * [taylor]: Taking taylor expansion of 1 in N 0.303 * [approximate]: Taking taylor expansion of (* -1 (* (- 1 (/ 1 N)) N)) in (N) around 0 0.303 * [taylor]: Taking taylor expansion of (* -1 (* (- 1 (/ 1 N)) N)) in N 0.303 * [taylor]: Taking taylor expansion of -1 in N 0.303 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 N)) N) in N 0.303 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.304 * [taylor]: Taking taylor expansion of 1 in N 0.304 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.304 * [taylor]: Taking taylor expansion of N in N 0.304 * [taylor]: Taking taylor expansion of N in N 0.304 * [taylor]: Taking taylor expansion of (* -1 (* (- 1 (/ 1 N)) N)) in N 0.304 * [taylor]: Taking taylor expansion of -1 in N 0.304 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 N)) N) in N 0.304 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.304 * [taylor]: Taking taylor expansion of 1 in N 0.304 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.304 * [taylor]: Taking taylor expansion of N in N 0.304 * [taylor]: Taking taylor expansion of N in N 0.318 * * * [progress]: simplifying candidates 0.318 * [simplify]: Simplifying using # : (log.f64 (/.f64 (+.f64 N 1) N)) (log.f64 (+.f64 N 1)) (log.f64 N) (log.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1))) (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (log.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1))) (sqrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N))) (log.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1))) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1)) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) N)) (log.f64 (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (log.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N))) (log.f64 (/.f64 1 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))) (log.f64 (/.f64 1 1)) (log.f64 (/.f64 (+.f64 N 1) N)) (log.f64 (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (log.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N))) (log.f64 (/.f64 1 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))) (log.f64 (/.f64 1 1)) (log.f64 (/.f64 (+.f64 N 1) N)) (log.f64 1) (log.f64 (/.f64 (+.f64 N 1) N)) (log.f64 (+.f64 N 1)) (log.f64 (/.f64 1 N)) (exp.f64 (log.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))) (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 N 1) N)) (log.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (/.f64 (+.f64 N 1) N))) (*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (exp.f64 (/.f64 (+.f64 N 1) N)) (log.f64 (/.f64 (+.f64 N 1) N)) (*.f64 (*.f64 (/.f64 (+.f64 N 1) N) (/.f64 (+.f64 N 1) N)) (/.f64 (+.f64 N 1) N)) (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (cbrt.f64 (/.f64 (+.f64 N 1) N))) (cbrt.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (*.f64 (*.f64 (+.f64 N 1) (+.f64 N 1)) (+.f64 N 1)) (*.f64 (*.f64 N N) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)) (neg.f64 (+.f64 N 1)) (neg.f64 N) (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1))) (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)) (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1))) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1))) 1) (/.f64 (cbrt.f64 (+.f64 N 1)) N) (/.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N)) (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (/.f64 (sqrt.f64 (+.f64 N 1)) 1) (/.f64 (sqrt.f64 (+.f64 N 1)) N) (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (+.f64 N 1) (cbrt.f64 N)) (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1) (sqrt.f64 N)) (/.f64 1 1) (/.f64 (+.f64 N 1) N) (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (+.f64 N 1) (cbrt.f64 N)) (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1) (sqrt.f64 N)) (/.f64 1 1) (/.f64 (+.f64 N 1) N) (/.f64 N (+.f64 N 1)) (/.f64 1 N) (*.f64 N (+.f64 (*.f64 N N) (-.f64 (*.f64 1 1) (*.f64 N 1)))) (*.f64 N (-.f64 N 1)) (/.f64 N (cbrt.f64 (+.f64 N 1))) (/.f64 N (sqrt.f64 (+.f64 N 1))) (/.f64 N (+.f64 N 1)) (/.f64 N (+.f64 N 1)) (/.f64 (+.f64 N 1) (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (+.f64 N 1) (sqrt.f64 N)) (/.f64 (+.f64 N 1) 1) (-.f64 N (+.f64 (*.f64 1/2 (pow.f64 N 2)) (log.f64 N))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (/.f64 1 N) 1) (+.f64 (/.f64 1 N) 1) (+.f64 (/.f64 1 N) 1) 0.453 * * [simplify]: iteration 0 : 4931 enodes (cost 940 ) 0.454 * * [simplify]: iteration 1 : 4931 enodes (cost 940 ) 0.459 * [simplify]: Simplified to: (log.f64 (/.f64 (+.f64 N 1) N)) (log.f64 (+.f64 N 1)) (log.f64 N) (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) 2) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (*.f64 2 (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (-.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 N 1)))) (log.f64 (sqrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 N 1)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N))) (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) N)) (*.f64 (log.f64 (cbrt.f64 N)) -2) (log.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N))) (neg.f64 (log.f64 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))) (log.f64 1) (log.f64 (/.f64 (+.f64 N 1) N)) (*.f64 (log.f64 (cbrt.f64 N)) -2) (log.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N))) (neg.f64 (log.f64 (sqrt.f64 N))) (log.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N))) (log.f64 1) (log.f64 (/.f64 (+.f64 N 1) N)) (log.f64 1) (log.f64 (/.f64 (+.f64 N 1) N)) (log.f64 (+.f64 N 1)) (neg.f64 (log.f64 N)) (/.f64 (+.f64 N 1) N) (log.f64 (log.f64 (/.f64 (+.f64 N 1) N))) (pow.f64 (log.f64 (/.f64 (+.f64 N 1) N)) 3) (*.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N)))) (cbrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) (sqrt.f64 (log.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (/.f64 (+.f64 N 1) N)) (exp.f64 (/.f64 (+.f64 N 1) N)) (log.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (/.f64 (+.f64 N 1) N) 3) (*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (cbrt.f64 (/.f64 (+.f64 N 1) N))) (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (/.f64 (+.f64 N 1) N) 3) (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)) (-.f64 -1 N) (neg.f64 N) (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1))) (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)) (/.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1))) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1))) (/.f64 (cbrt.f64 (+.f64 N 1)) N) (/.f64 (sqrt.f64 (+.f64 N 1)) (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N)) (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (/.f64 (sqrt.f64 (+.f64 N 1)) (sqrt.f64 N)) (sqrt.f64 (+.f64 N 1)) (/.f64 (sqrt.f64 (+.f64 N 1)) N) (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (+.f64 N 1) (cbrt.f64 N)) (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1) (sqrt.f64 N)) 1 (/.f64 (+.f64 N 1) N) (/.f64 1 (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (+.f64 N 1) (cbrt.f64 N)) (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 N 1) (sqrt.f64 N)) 1 (/.f64 (+.f64 N 1) N) (/.f64 N (+.f64 N 1)) (/.f64 1 N) (*.f64 N (+.f64 (*.f64 N N) (-.f64 1 N))) (-.f64 (*.f64 N N) N) (/.f64 N (cbrt.f64 (+.f64 N 1))) (/.f64 N (sqrt.f64 (+.f64 N 1))) (/.f64 N (+.f64 N 1)) (/.f64 N (+.f64 N 1)) (/.f64 (+.f64 N 1) (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (/.f64 (+.f64 N 1) (sqrt.f64 N)) (+.f64 N 1) (-.f64 N (+.f64 (log.f64 N) (*.f64 (*.f64 N N) 1/2))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))) (/.f64 (+.f64 N 1) N) (/.f64 (+.f64 N 1) N) (/.f64 (+.f64 N 1) N) 0.460 * * * [progress]: adding candidates to table 0.496 * * [progress]: iteration 3 / 4 0.496 * * * [progress]: picking best candidate 0.499 * * * * [pick]: Picked # 0.499 * * * [progress]: localizing error 0.509 * * * [progress]: generating rewritten candidates 0.509 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.516 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.523 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.524 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2) 0.532 * * * [progress]: generating series expansions 0.532 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.533 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in (N) around 0 0.533 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in N 0.533 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in N 0.533 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1) N)))) in N 0.533 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1) N))) in N 0.533 * [taylor]: Taking taylor expansion of 1/3 in N 0.533 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 0.533 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 0.533 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.533 * [taylor]: Taking taylor expansion of N in N 0.533 * [taylor]: Taking taylor expansion of 1 in N 0.533 * [taylor]: Taking taylor expansion of N in N 0.534 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in N 0.534 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in N 0.534 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1) N)))) in N 0.534 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1) N))) in N 0.534 * [taylor]: Taking taylor expansion of 1/3 in N 0.534 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 0.534 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 0.535 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.535 * [taylor]: Taking taylor expansion of N in N 0.535 * [taylor]: Taking taylor expansion of 1 in N 0.535 * [taylor]: Taking taylor expansion of N in N 0.545 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in (N) around 0 0.545 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in N 0.545 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in N 0.545 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1))))) in N 0.545 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1)))) in N 0.545 * [taylor]: Taking taylor expansion of 1/3 in N 0.545 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 0.545 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 0.545 * [taylor]: Taking taylor expansion of N in N 0.545 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.545 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.546 * [taylor]: Taking taylor expansion of N in N 0.546 * [taylor]: Taking taylor expansion of 1 in N 0.548 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in N 0.548 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in N 0.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1))))) in N 0.548 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1)))) in N 0.548 * [taylor]: Taking taylor expansion of 1/3 in N 0.548 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 0.548 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 0.548 * [taylor]: Taking taylor expansion of N in N 0.548 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.548 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.548 * [taylor]: Taking taylor expansion of N in N 0.548 * [taylor]: Taking taylor expansion of 1 in N 0.563 * [approximate]: Taking taylor expansion of (log (* (pow (* (- 1 (/ 1 N)) N) 1/3) (/ 1 (cbrt -1)))) in (N) around 0 0.563 * [taylor]: Taking taylor expansion of (log (* (pow (* (- 1 (/ 1 N)) N) 1/3) (/ 1 (cbrt -1)))) in N 0.563 * [taylor]: Taking taylor expansion of (* (pow (* (- 1 (/ 1 N)) N) 1/3) (/ 1 (cbrt -1))) in N 0.564 * [taylor]: Taking taylor expansion of (pow (* (- 1 (/ 1 N)) N) 1/3) in N 0.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (- 1 (/ 1 N)) N)))) in N 0.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (- 1 (/ 1 N)) N))) in N 0.564 * [taylor]: Taking taylor expansion of 1/3 in N 0.564 * [taylor]: Taking taylor expansion of (log (* (- 1 (/ 1 N)) N)) in N 0.564 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 N)) N) in N 0.564 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.564 * [taylor]: Taking taylor expansion of 1 in N 0.564 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.564 * [taylor]: Taking taylor expansion of N in N 0.564 * [taylor]: Taking taylor expansion of N in N 0.565 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 0.565 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.565 * [taylor]: Taking taylor expansion of -1 in N 0.566 * [taylor]: Taking taylor expansion of (log (* (pow (* (- 1 (/ 1 N)) N) 1/3) (/ 1 (cbrt -1)))) in N 0.566 * [taylor]: Taking taylor expansion of (* (pow (* (- 1 (/ 1 N)) N) 1/3) (/ 1 (cbrt -1))) in N 0.566 * [taylor]: Taking taylor expansion of (pow (* (- 1 (/ 1 N)) N) 1/3) in N 0.566 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (- 1 (/ 1 N)) N)))) in N 0.566 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (- 1 (/ 1 N)) N))) in N 0.566 * [taylor]: Taking taylor expansion of 1/3 in N 0.566 * [taylor]: Taking taylor expansion of (log (* (- 1 (/ 1 N)) N)) in N 0.566 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 N)) N) in N 0.566 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.566 * [taylor]: Taking taylor expansion of 1 in N 0.566 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.567 * [taylor]: Taking taylor expansion of N in N 0.567 * [taylor]: Taking taylor expansion of N in N 0.568 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 0.568 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.568 * [taylor]: Taking taylor expansion of -1 in N 0.581 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.582 * [approximate]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in (N) around 0 0.582 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in N 0.582 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in N 0.582 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1) N)))) in N 0.582 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1) N))) in N 0.582 * [taylor]: Taking taylor expansion of 1/3 in N 0.582 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 0.582 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 0.582 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.582 * [taylor]: Taking taylor expansion of N in N 0.582 * [taylor]: Taking taylor expansion of 1 in N 0.582 * [taylor]: Taking taylor expansion of N in N 0.583 * [taylor]: Taking taylor expansion of (log (pow (/ (+ N 1) N) 1/3)) in N 0.583 * [taylor]: Taking taylor expansion of (pow (/ (+ N 1) N) 1/3) in N 0.583 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ N 1) N)))) in N 0.583 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ N 1) N))) in N 0.583 * [taylor]: Taking taylor expansion of 1/3 in N 0.583 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 0.583 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 0.583 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.583 * [taylor]: Taking taylor expansion of N in N 0.583 * [taylor]: Taking taylor expansion of 1 in N 0.583 * [taylor]: Taking taylor expansion of N in N 0.592 * [approximate]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in (N) around 0 0.592 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in N 0.592 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in N 0.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1))))) in N 0.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1)))) in N 0.592 * [taylor]: Taking taylor expansion of 1/3 in N 0.592 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 0.592 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 0.592 * [taylor]: Taking taylor expansion of N in N 0.592 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.592 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.592 * [taylor]: Taking taylor expansion of N in N 0.592 * [taylor]: Taking taylor expansion of 1 in N 0.594 * [taylor]: Taking taylor expansion of (log (pow (* N (+ (/ 1 N) 1)) 1/3)) in N 0.594 * [taylor]: Taking taylor expansion of (pow (* N (+ (/ 1 N) 1)) 1/3) in N 0.594 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ (/ 1 N) 1))))) in N 0.594 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ (/ 1 N) 1)))) in N 0.594 * [taylor]: Taking taylor expansion of 1/3 in N 0.594 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 0.594 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 0.594 * [taylor]: Taking taylor expansion of N in N 0.594 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.594 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.594 * [taylor]: Taking taylor expansion of N in N 0.594 * [taylor]: Taking taylor expansion of 1 in N 0.605 * [approximate]: Taking taylor expansion of (log (* (pow (* (- 1 (/ 1 N)) N) 1/3) (/ 1 (cbrt -1)))) in (N) around 0 0.606 * [taylor]: Taking taylor expansion of (log (* (pow (* (- 1 (/ 1 N)) N) 1/3) (/ 1 (cbrt -1)))) in N 0.606 * [taylor]: Taking taylor expansion of (* (pow (* (- 1 (/ 1 N)) N) 1/3) (/ 1 (cbrt -1))) in N 0.606 * [taylor]: Taking taylor expansion of (pow (* (- 1 (/ 1 N)) N) 1/3) in N 0.606 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (- 1 (/ 1 N)) N)))) in N 0.606 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (- 1 (/ 1 N)) N))) in N 0.606 * [taylor]: Taking taylor expansion of 1/3 in N 0.606 * [taylor]: Taking taylor expansion of (log (* (- 1 (/ 1 N)) N)) in N 0.606 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 N)) N) in N 0.606 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.606 * [taylor]: Taking taylor expansion of 1 in N 0.606 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.606 * [taylor]: Taking taylor expansion of N in N 0.606 * [taylor]: Taking taylor expansion of N in N 0.607 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 0.607 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.607 * [taylor]: Taking taylor expansion of -1 in N 0.608 * [taylor]: Taking taylor expansion of (log (* (pow (* (- 1 (/ 1 N)) N) 1/3) (/ 1 (cbrt -1)))) in N 0.608 * [taylor]: Taking taylor expansion of (* (pow (* (- 1 (/ 1 N)) N) 1/3) (/ 1 (cbrt -1))) in N 0.608 * [taylor]: Taking taylor expansion of (pow (* (- 1 (/ 1 N)) N) 1/3) in N 0.608 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (- 1 (/ 1 N)) N)))) in N 0.608 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (- 1 (/ 1 N)) N))) in N 0.608 * [taylor]: Taking taylor expansion of 1/3 in N 0.608 * [taylor]: Taking taylor expansion of (log (* (- 1 (/ 1 N)) N)) in N 0.608 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 N)) N) in N 0.608 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.608 * [taylor]: Taking taylor expansion of 1 in N 0.608 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.608 * [taylor]: Taking taylor expansion of N in N 0.608 * [taylor]: Taking taylor expansion of N in N 0.609 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in N 0.609 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.609 * [taylor]: Taking taylor expansion of -1 in N 0.623 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.623 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.623 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.623 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.623 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.623 * [taylor]: Taking taylor expansion of 1/3 in N 0.623 * [taylor]: Taking taylor expansion of (log N) in N 0.623 * [taylor]: Taking taylor expansion of N in N 0.624 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.624 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.624 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.624 * [taylor]: Taking taylor expansion of 1/3 in N 0.624 * [taylor]: Taking taylor expansion of (log N) in N 0.624 * [taylor]: Taking taylor expansion of N in N 0.647 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.647 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.647 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.647 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.647 * [taylor]: Taking taylor expansion of 1/3 in N 0.647 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.647 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.647 * [taylor]: Taking taylor expansion of N in N 0.648 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.648 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.648 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.648 * [taylor]: Taking taylor expansion of 1/3 in N 0.648 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.648 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.648 * [taylor]: Taking taylor expansion of N in N 0.673 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.673 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.673 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.673 * [taylor]: Taking taylor expansion of -1 in N 0.674 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.674 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.674 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.674 * [taylor]: Taking taylor expansion of 1/3 in N 0.674 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.674 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.674 * [taylor]: Taking taylor expansion of N in N 0.674 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.674 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.674 * [taylor]: Taking taylor expansion of -1 in N 0.675 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.675 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.675 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.675 * [taylor]: Taking taylor expansion of 1/3 in N 0.675 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.675 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.675 * [taylor]: Taking taylor expansion of N in N 0.708 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2) 0.708 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.708 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.708 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.708 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.708 * [taylor]: Taking taylor expansion of 1/3 in N 0.708 * [taylor]: Taking taylor expansion of (log N) in N 0.708 * [taylor]: Taking taylor expansion of N in N 0.708 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.708 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.708 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.708 * [taylor]: Taking taylor expansion of 1/3 in N 0.708 * [taylor]: Taking taylor expansion of (log N) in N 0.708 * [taylor]: Taking taylor expansion of N in N 0.730 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.730 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.730 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.730 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.730 * [taylor]: Taking taylor expansion of 1/3 in N 0.730 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.730 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.730 * [taylor]: Taking taylor expansion of N in N 0.731 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.731 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.731 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.731 * [taylor]: Taking taylor expansion of 1/3 in N 0.731 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.731 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.731 * [taylor]: Taking taylor expansion of N in N 0.759 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.759 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.759 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.759 * [taylor]: Taking taylor expansion of -1 in N 0.759 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.759 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.759 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.759 * [taylor]: Taking taylor expansion of 1/3 in N 0.759 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.759 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.759 * [taylor]: Taking taylor expansion of N in N 0.760 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.760 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.760 * [taylor]: Taking taylor expansion of -1 in N 0.760 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.760 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.760 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.760 * [taylor]: Taking taylor expansion of 1/3 in N 0.760 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.760 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.760 * [taylor]: Taking taylor expansion of N in N 0.793 * * * [progress]: simplifying candidates 0.795 * [simplify]: Simplifying using # : (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (cbrt.f64 N)) (log.f64 (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))))) (log.f64 (cbrt.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))) (log.f64 (sqrt.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))) (log.f64 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 (+.f64 N 1)))) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 (+.f64 N 1)))) (cbrt.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 (+.f64 N 1)))) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 (+.f64 N 1)))) (cbrt.f64 1))) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 N))) (log.f64 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 (+.f64 N 1)))) 1)) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1)))) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1)))) (cbrt.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1)))) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1)))) (cbrt.f64 1))) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1)))) 1)) (log.f64 (/.f64 (cbrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) (cbrt.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) (cbrt.f64 1))) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) (cbrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) 1)) (log.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 N 1))) (cbrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 1) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 1) (cbrt.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 1) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 1) (cbrt.f64 1))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 1) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 1) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 1) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 1) (cbrt.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 1) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 1) (cbrt.f64 1))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (log.f64 (/.f64 (cbrt.f64 1) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 1) 1)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N))))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 1))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 N))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) 1)) (log.f64 (/.f64 (sqrt.f64 (cbrt.f64 (+.f64 N 1))) (cbrt.f64 N))) (log.f64 (/.f64 1 (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 1 (cbrt.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N))))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (sqrt.f64 N)))) (log.f64 (/.f64 1 (cbrt.f64 1))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) (log.f64 (/.f64 1 (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 (cbrt.f64 N)))) (log.f64 (/.f64 1 1)) (log.f64 (/.f64 (cbrt.f64 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(cbrt.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))) (sqrt.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))) (sqrt.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))) (exp.f64 (cbrt.f64 N)) (log.f64 (cbrt.f64 N)) (*.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N)) (cbrt.f64 N)) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N))) (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 1) (cbrt.f64 N) (sqrt.f64 (cbrt.f64 N)) (sqrt.f64 (cbrt.f64 N)) (exp.f64 (cbrt.f64 N)) (log.f64 (cbrt.f64 N)) (*.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N)) (cbrt.f64 N)) (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N))) (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N))) (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 1) (cbrt.f64 N) (sqrt.f64 (cbrt.f64 N)) (sqrt.f64 (cbrt.f64 N)) (-.f64 (+.f64 (log.f64 (pow.f64 N -1/3)) (*.f64 1/3 N)) (*.f64 1/6 (pow.f64 N 2))) (-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 N)) (log.f64 (*.f64 (pow.f64 -1 1/3) (/.f64 1 (cbrt.f64 -1))))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))) (-.f64 (+.f64 (log.f64 (pow.f64 N -1/3)) (*.f64 1/3 N)) (*.f64 1/6 (pow.f64 N 2))) (-.f64 (+.f64 (*.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 N)) (log.f64 (*.f64 (pow.f64 -1 1/3) (/.f64 1 (cbrt.f64 -1))))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2)))) (pow.f64 N 1/3) (pow.f64 (/.f64 1 N) -1/3) (*.f64 (pow.f64 (*.f64 -1 N) 1/3) (cbrt.f64 -1)) (pow.f64 N 1/3) (pow.f64 (/.f64 1 N) -1/3) (*.f64 (pow.f64 (*.f64 -1 N) 1/3) (cbrt.f64 -1)) 0.894 * * [simplify]: iteration 0 : 4905 enodes (cost 3308 ) 0.895 * * [simplify]: iteration 1 : 4905 enodes (cost 3308 ) 0.912 * [simplify]: Simplified to: (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N))) 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(cbrt.f64 N))))) (cbrt.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))) (sqrt.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))) (sqrt.f64 (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 N)))) (exp.f64 (cbrt.f64 N)) (log.f64 (cbrt.f64 N)) N (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N))) (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (pow.f64 N 2/3)) (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 1) (cbrt.f64 N) (sqrt.f64 (cbrt.f64 N)) (sqrt.f64 (cbrt.f64 N)) (exp.f64 (cbrt.f64 N)) (log.f64 (cbrt.f64 N)) N (*.f64 (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (cbrt.f64 N))) (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (pow.f64 N 2/3)) (cbrt.f64 (cbrt.f64 N)) (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 1) (cbrt.f64 N) (sqrt.f64 (cbrt.f64 N)) (sqrt.f64 (cbrt.f64 N)) (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N -1/6))) (log.f64 (cbrt.f64 N))) (-.f64 (+.f64 (/.f64 1/9 (pow.f64 N 3)) (/.f64 1/3 N)) (/.f64 1/6 (*.f64 N N))) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (*.f64 N N))) (-.f64 (*.f64 N (+.f64 1/3 (*.f64 N -1/6))) (log.f64 (cbrt.f64 N))) (-.f64 (+.f64 (/.f64 1/9 (pow.f64 N 3)) (/.f64 1/3 N)) (/.f64 1/6 (*.f64 N N))) (-.f64 (/.f64 1/3 N) (/.f64 1/6 (*.f64 N N))) (cbrt.f64 N) (pow.f64 (/.f64 1 N) -1/3) (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 N))) (cbrt.f64 N) (pow.f64 (/.f64 1 N) -1/3) (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 N))) 0.913 * * * [progress]: adding candidates to table 1.088 * * [progress]: iteration 4 / 4 1.088 * * * [progress]: picking best candidate 1.090 * * * * [pick]: Picked # 1.090 * * * [progress]: localizing error 1.100 * * * [progress]: generating rewritten candidates 1.100 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.106 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.110 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.112 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.115 * * * [progress]: generating series expansions 1.115 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.116 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 1.116 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 1.116 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.116 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.116 * [taylor]: Taking taylor expansion of N in N 1.116 * [taylor]: Taking taylor expansion of 1 in N 1.116 * [taylor]: Taking taylor expansion of (log N) in N 1.116 * [taylor]: Taking taylor expansion of N in N 1.116 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 1.116 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.116 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.116 * [taylor]: Taking taylor expansion of N in N 1.116 * [taylor]: Taking taylor expansion of 1 in N 1.116 * [taylor]: Taking taylor expansion of (log N) in N 1.116 * [taylor]: Taking taylor expansion of N in N 1.122 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 1.122 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 1.122 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.122 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.122 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.122 * [taylor]: Taking taylor expansion of N in N 1.122 * [taylor]: Taking taylor expansion of 1 in N 1.122 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.122 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.122 * [taylor]: Taking taylor expansion of N in N 1.122 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 1.122 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.122 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.122 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.122 * [taylor]: Taking taylor expansion of N in N 1.122 * [taylor]: Taking taylor expansion of 1 in N 1.123 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 1.123 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.123 * [taylor]: Taking taylor expansion of N in N 1.133 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 1.133 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 1.133 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.133 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.133 * [taylor]: Taking taylor expansion of 1 in N 1.133 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.133 * [taylor]: Taking taylor expansion of N in N 1.134 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.134 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.134 * [taylor]: Taking taylor expansion of -1 in N 1.134 * [taylor]: Taking taylor expansion of N in N 1.134 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 1.134 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.134 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.134 * [taylor]: Taking taylor expansion of 1 in N 1.134 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.134 * [taylor]: Taking taylor expansion of N in N 1.134 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 1.134 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.134 * [taylor]: Taking taylor expansion of -1 in N 1.134 * [taylor]: Taking taylor expansion of N in N 1.146 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.146 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 1.146 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.146 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.146 * [taylor]: Taking taylor expansion of N in N 1.146 * [taylor]: Taking taylor expansion of 1 in N 1.146 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.146 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.146 * [taylor]: Taking taylor expansion of N in N 1.146 * [taylor]: Taking taylor expansion of 1 in N 1.151 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 1.152 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.152 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.152 * [taylor]: Taking taylor expansion of N in N 1.152 * [taylor]: Taking taylor expansion of 1 in N 1.152 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.152 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.152 * [taylor]: Taking taylor expansion of N in N 1.152 * [taylor]: Taking taylor expansion of 1 in N 1.155 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 1.155 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.155 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.155 * [taylor]: Taking taylor expansion of 1 in N 1.155 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.155 * [taylor]: Taking taylor expansion of N in N 1.156 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.156 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.156 * [taylor]: Taking taylor expansion of 1 in N 1.156 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.156 * [taylor]: Taking taylor expansion of N in N 1.160 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.161 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 1.161 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.161 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.161 * [taylor]: Taking taylor expansion of N in N 1.161 * [taylor]: Taking taylor expansion of 1 in N 1.161 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.161 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.161 * [taylor]: Taking taylor expansion of N in N 1.161 * [taylor]: Taking taylor expansion of 1 in N 1.165 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 1.165 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.165 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.165 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.165 * [taylor]: Taking taylor expansion of N in N 1.165 * [taylor]: Taking taylor expansion of 1 in N 1.165 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.165 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.165 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.165 * [taylor]: Taking taylor expansion of N in N 1.166 * [taylor]: Taking taylor expansion of 1 in N 1.170 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 1.170 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.170 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.170 * [taylor]: Taking taylor expansion of 1 in N 1.170 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.170 * [taylor]: Taking taylor expansion of N in N 1.170 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.170 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.170 * [taylor]: Taking taylor expansion of 1 in N 1.170 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.170 * [taylor]: Taking taylor expansion of N in N 1.175 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.175 * [approximate]: Taking taylor expansion of (log (log (+ N 1))) in (N) around 0 1.175 * [taylor]: Taking taylor expansion of (log (log (+ N 1))) in N 1.175 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.175 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.175 * [taylor]: Taking taylor expansion of N in N 1.175 * [taylor]: Taking taylor expansion of 1 in N 1.176 * [taylor]: Taking taylor expansion of (log (log (+ N 1))) in N 1.176 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 1.176 * [taylor]: Taking taylor expansion of (+ N 1) in N 1.176 * [taylor]: Taking taylor expansion of N in N 1.176 * [taylor]: Taking taylor expansion of 1 in N 1.181 * [approximate]: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in (N) around 0 1.181 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N 1.181 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.181 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.181 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.181 * [taylor]: Taking taylor expansion of N in N 1.181 * [taylor]: Taking taylor expansion of 1 in N 1.182 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N 1.182 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 1.182 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 1.182 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.182 * [taylor]: Taking taylor expansion of N in N 1.182 * [taylor]: Taking taylor expansion of 1 in N 1.192 * [approximate]: Taking taylor expansion of (log (log (- 1 (/ 1 N)))) in (N) around 0 1.193 * [taylor]: Taking taylor expansion of (log (log (- 1 (/ 1 N)))) in N 1.193 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.193 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.193 * [taylor]: Taking taylor expansion of 1 in N 1.193 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.193 * [taylor]: Taking taylor expansion of N in N 1.194 * [taylor]: Taking taylor expansion of (log (log (- 1 (/ 1 N)))) in N 1.194 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 1.194 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 1.194 * [taylor]: Taking taylor expansion of 1 in N 1.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.194 * [taylor]: Taking taylor expansion of N in N 1.206 * * * [progress]: simplifying candidates 1.207 * [simplify]: Simplifying using # : (/.f64 (exp.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) N) (exp.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))) (log.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))) (*.f64 (*.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N)) (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))) (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))) (*.f64 (cbrt.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))) (cbrt.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N)))) (cbrt.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))) (sqrt.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))) (sqrt.f64 (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N))) (-.f64 (pow.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (+.f64 (*.f64 (log.f64 N) (log.f64 N)) (*.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N)))) (neg.f64 (log.f64 N)) (-.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (*.f64 (log.f64 N) (log.f64 N))) (+.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N)) (+.f64 (exp.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 N 1))))) (sqrt.f64 (log.f64 N))) (-.f64 (exp.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 N 1))))) (sqrt.f64 (log.f64 N))) (+.f64 (sqrt.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (sqrt.f64 (log.f64 N))) (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N)) (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 N)) (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 (*.f64 (cbrt.f64 N) (cbrt.f64 N)))) (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 (sqrt.f64 N))) (-.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 1)) (log.f64 (+.f64 N 1)) (log.f64 (+.f64 (pow.f64 N 3) (pow.f64 1 3))) (log.f64 (+.f64 (*.f64 N N) (-.f64 (*.f64 1 1) (*.f64 N 1)))) (log.f64 (-.f64 (*.f64 N N) (*.f64 1 1))) (log.f64 (-.f64 N 1)) (log.f64 (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1)))) (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 1) (log.f64 (+.f64 N 1)) (log.f64 1) (log.f64 (+.f64 N 1)) (exp.f64 (log.f64 (+.f64 N 1))) (log.f64 (log.f64 (+.f64 N 1))) (*.f64 (*.f64 (log.f64 (+.f64 N 1)) (log.f64 (+.f64 N 1))) (log.f64 (+.f64 N 1))) (*.f64 (cbrt.f64 (log.f64 (+.f64 N 1))) (cbrt.f64 (log.f64 (+.f64 N 1)))) (cbrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) (exp.f64 1) (exp.f64 (*.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 N 1)))) (cbrt.f64 (log.f64 (log.f64 (+.f64 N 1)))))) (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 N 1))))) (exp.f64 1) (exp.f64 (log.f64 1)) (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (exp.f64 (log.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 N 1))) (cbrt.f64 (log.f64 (+.f64 N 1)))))) (exp.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 N 1))))) (exp.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 N 1))))) (exp.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 N 1))))) (exp.f64 (log.f64 1)) (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (exp.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (log.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (*.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (*.f64 (cbrt.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (cbrt.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))))) (cbrt.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (sqrt.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (sqrt.f64 (exp.f64 (log.f64 (log.f64 (+.f64 N 1))))) (log.f64 (log.f64 (+.f64 N 1))) (log.f64 1) (log.f64 (log.f64 (+.f64 N 1))) (log.f64 (*.f64 (cbrt.f64 (log.f64 (+.f64 N 1))) (cbrt.f64 (log.f64 (+.f64 N 1))))) (log.f64 (cbrt.f64 (log.f64 (+.f64 N 1)))) (log.f64 (sqrt.f64 (log.f64 (+.f64 N 1)))) (log.f64 (sqrt.f64 (log.f64 (+.f64 N 1)))) (log.f64 1) (log.f64 (log.f64 (+.f64 N 1))) (exp.f64 (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 (log.f64 (log.f64 (+.f64 N 1)))) (*.f64 (*.f64 (log.f64 (log.f64 (+.f64 N 1))) (log.f64 (log.f64 (+.f64 N 1)))) (log.f64 (log.f64 (+.f64 N 1)))) (*.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 N 1)))) (cbrt.f64 (log.f64 (log.f64 (+.f64 N 1))))) (cbrt.f64 (log.f64 (log.f64 (+.f64 N 1)))) (sqrt.f64 (log.f64 (log.f64 (+.f64 N 1)))) (sqrt.f64 (log.f64 (log.f64 (+.f64 N 1)))) (-.f64 N (+.f64 (*.f64 1/2 (pow.f64 N 2)) (log.f64 N))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (-.f64 (+.f64 N (*.f64 1/3 (pow.f64 N 3))) (*.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N)))) (-.f64 (+.f64 (/.f64 1 N) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 -1 N)))) (-.f64 (+.f64 N (*.f64 1/3 (pow.f64 N 3))) (*.f64 1/2 (pow.f64 N 2))) (-.f64 (/.f64 1 N) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 1 N)))) (-.f64 (+.f64 (/.f64 1 N) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (log.f64 (/.f64 -1 N)))) (-.f64 (+.f64 (*.f64 5/24 (pow.f64 N 2)) (log.f64 N)) (*.f64 1/2 N)) (-.f64 (+.f64 (log.f64 (neg.f64 (log.f64 (/.f64 1 N)))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N)))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 N 2) (pow.f64 (log.f64 (/.f64 1 N)) 2)))) (/.f64 1 (*.f64 N (log.f64 (/.f64 1 N)))))) (-.f64 (+.f64 (log.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (/.f64 1 (*.f64 N (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2) (pow.f64 N 2)))) (*.f64 1/2 (/.f64 1 (*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 N 2)))))) 1.279 * * [simplify]: iteration 0 : 4920 enodes (cost 1022 ) 1.279 * * [simplify]: iteration 1 : 4920 enodes (cost 1022 ) 1.285 * [simplify]: Simplified to: (/.f64 (+.f64 N 1) N) (/.f64 (+.f64 N 1) N) (log.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (pow.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 3) (*.f64 (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (cbrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (sqrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (sqrt.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))) (-.f64 (pow.f64 (log.f64 (+.f64 N 1)) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log.f64 (+.f64 N 1)) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)))) (neg.f64 (log.f64 N)) (-.f64 (pow.f64 (log.f64 (+.f64 N 1)) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (+.f64 (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 N))) (+.f64 (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 N))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) (-.f64 (log.f64 (+.f64 N 1)) (*.f64 2 (log.f64 (cbrt.f64 N)))) (-.f64 (log.f64 (+.f64 N 1)) (log.f64 (sqrt.f64 N))) (log.f64 (+.f64 N 1)) (log.f64 (+.f64 N 1)) (log.f64 (+.f64 1 (pow.f64 N 3))) (log.f64 (+.f64 (*.f64 N N) (-.f64 1 N))) (log.f64 (-.f64 (*.f64 N N) 1)) (log.f64 (-.f64 N 1)) (*.f64 (log.f64 (cbrt.f64 (+.f64 N 1))) 2) (log.f64 (cbrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 (sqrt.f64 (+.f64 N 1))) (log.f64 1) (log.f64 (+.f64 N 1)) (log.f64 1) (log.f64 (+.f64 N 1)) (+.f64 N 1) (log.f64 (log.f64 (+.f64 N 1))) (pow.f64 (log.f64 (+.f64 N 1)) 3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 N 1))) 2) (cbrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) E.f64 (exp.f64 (*.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 N 1)))) (cbrt.f64 (log.f64 (log.f64 (+.f64 N 1)))))) (exp.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 N 1))))) E.f64 1 (log.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 (log.f64 (+.f64 N 1))) 2) (cbrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) 1 (log.f64 (+.f64 N 1)) (+.f64 N 1) (log.f64 (log.f64 (+.f64 N 1))) (pow.f64 (log.f64 (+.f64 N 1)) 3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 N 1))) 2) (cbrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) (sqrt.f64 (log.f64 (+.f64 N 1))) (log.f64 (log.f64 (+.f64 N 1))) (log.f64 1) (log.f64 (log.f64 (+.f64 N 1))) (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 N 1)))) 2) (log.f64 (cbrt.f64 (log.f64 (+.f64 N 1)))) (log.f64 (sqrt.f64 (log.f64 (+.f64 N 1)))) (log.f64 (sqrt.f64 (log.f64 (+.f64 N 1)))) (log.f64 1) (log.f64 (log.f64 (+.f64 N 1))) (log.f64 (+.f64 N 1)) (log.f64 (log.f64 (log.f64 (+.f64 N 1)))) (pow.f64 (log.f64 (log.f64 (+.f64 N 1))) 3) (*.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 N 1)))) (cbrt.f64 (log.f64 (log.f64 (+.f64 N 1))))) (cbrt.f64 (log.f64 (log.f64 (+.f64 N 1)))) (sqrt.f64 (log.f64 (log.f64 (+.f64 N 1)))) (sqrt.f64 (log.f64 (log.f64 (+.f64 N 1)))) (-.f64 N (+.f64 (log.f64 N) (*.f64 (*.f64 N N) 1/2))) (-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N))) (-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1 N)) (/.f64 1/2 (*.f64 N N))) (+.f64 N (*.f64 (*.f64 N N) (+.f64 (*.f64 N 1/3) -1/2))) (-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (*.f64 N N)) (log.f64 N))) (-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (*.f64 N N)) (log.f64 N))) (+.f64 N (*.f64 (*.f64 N N) (+.f64 (*.f64 N 1/3) -1/2))) (-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (*.f64 N N)) (log.f64 N))) (-.f64 (/.f64 1 N) (-.f64 (/.f64 1/2 (*.f64 N N)) (log.f64 N))) (+.f64 (log.f64 N) (*.f64 N (+.f64 (*.f64 N 5/24) -1/2))) (-.f64 (+.f64 (log.f64 (log.f64 N)) (/.f64 -1/2 (*.f64 N (*.f64 N (log.f64 N))))) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 (log.f64 N) 2) (*.f64 N N))) (/.f64 -1 (*.f64 N (log.f64 N))))) (-.f64 (+.f64 (log.f64 (log.f64 N)) (/.f64 -1/2 (*.f64 N (*.f64 N (log.f64 N))))) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 (log.f64 N) 2) (*.f64 N N))) (/.f64 -1 (*.f64 N (log.f64 N))))) 1.286 * * * [progress]: adding candidates to table 1.330 * [progress]: [Phase 3 of 3] Extracting. 1.330 * * [regime]: Finding splitpoints for: (# # #) 1.331 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.331 * * * * [regimes]: Trying to branch on N from (# # #) 1.343 * * * [regime]: Found split indices: #