5.113 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.051 * * * [progress]: [2/2] Setting up program. 0.054 * [progress]: [Phase 2 of 3] Improving. 0.054 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.056 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.057 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.059 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.059 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.059 * * [progress]: iteration 1 / 4 0.059 * * * [progress]: picking best candidate 0.061 * * * * [pick]: Picked # 0.061 * * * [progress]: localizing error 0.068 * * * [progress]: generating rewritten candidates 0.068 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.076 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.081 * * * [progress]: generating series expansions 0.081 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.081 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.081 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.081 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.081 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.081 * [taylor]: Taking taylor expansion of N in N 0.081 * [taylor]: Taking taylor expansion of 1.0 in N 0.082 * [taylor]: Taking taylor expansion of (log N) in N 0.082 * [taylor]: Taking taylor expansion of N in N 0.083 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.083 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.083 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.083 * [taylor]: Taking taylor expansion of 1.0 in N 0.083 * [taylor]: Taking taylor expansion of (log N) in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.101 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.101 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.101 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.101 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.101 * [taylor]: Taking taylor expansion of N in N 0.101 * [taylor]: Taking taylor expansion of 1.0 in N 0.102 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.102 * [taylor]: Taking taylor expansion of N in N 0.102 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.102 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.102 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.102 * [taylor]: Taking taylor expansion of N in N 0.103 * [taylor]: Taking taylor expansion of 1.0 in N 0.103 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.103 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.103 * [taylor]: Taking taylor expansion of N in N 0.137 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.137 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.137 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.137 * [taylor]: Taking taylor expansion of 1.0 in N 0.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.138 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.138 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.138 * [taylor]: Taking taylor expansion of -1 in N 0.138 * [taylor]: Taking taylor expansion of N in N 0.138 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.138 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.138 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.138 * [taylor]: Taking taylor expansion of 1.0 in N 0.138 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.138 * [taylor]: Taking taylor expansion of N in N 0.139 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.139 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.139 * [taylor]: Taking taylor expansion of -1 in N 0.139 * [taylor]: Taking taylor expansion of N in N 0.173 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.173 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.173 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.173 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.173 * [taylor]: Taking taylor expansion of 1.0 in N 0.173 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.173 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.173 * [taylor]: Taking taylor expansion of N in N 0.173 * [taylor]: Taking taylor expansion of 1.0 in N 0.185 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.185 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [taylor]: Taking taylor expansion of 1.0 in N 0.186 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.186 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.186 * [taylor]: Taking taylor expansion of N in N 0.186 * [taylor]: Taking taylor expansion of 1.0 in N 0.201 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.201 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.201 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.201 * [taylor]: Taking taylor expansion of 1.0 in N 0.201 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.201 * [taylor]: Taking taylor expansion of N in N 0.202 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.202 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.202 * [taylor]: Taking taylor expansion of 1.0 in N 0.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.202 * [taylor]: Taking taylor expansion of N in N 0.216 * * * [progress]: simplifying candidates 0.217 * [simplify]: Simplifying using # : (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.222 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.227 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.244 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.337 * * [simplify]: iteration 3 : 5001 enodes (cost 343 ) 0.340 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (fma (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N)) (* (log N) (log N))) (log (/ 1 N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (log (/ 1 N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) 0.340 * * * [progress]: adding candidates to table 0.455 * * [progress]: iteration 2 / 4 0.455 * * * [progress]: picking best candidate 0.460 * * * * [pick]: Picked # 0.460 * * * [progress]: localizing error 0.465 * * * [progress]: generating rewritten candidates 0.465 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.469 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.477 * * * [progress]: generating series expansions 0.477 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.477 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.477 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.477 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.477 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.477 * [taylor]: Taking taylor expansion of N in N 0.477 * [taylor]: Taking taylor expansion of 1.0 in N 0.477 * [taylor]: Taking taylor expansion of N in N 0.478 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.478 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.478 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.478 * [taylor]: Taking taylor expansion of N in N 0.478 * [taylor]: Taking taylor expansion of 1.0 in N 0.478 * [taylor]: Taking taylor expansion of N in N 0.492 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.492 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.493 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.493 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [taylor]: Taking taylor expansion of 1.0 in N 0.495 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.495 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.495 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [taylor]: Taking taylor expansion of 1.0 in N 0.521 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.521 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.521 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.521 * [taylor]: Taking taylor expansion of -1 in N 0.521 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.521 * [taylor]: Taking taylor expansion of N in N 0.521 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.521 * [taylor]: Taking taylor expansion of 1.0 in N 0.521 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.521 * [taylor]: Taking taylor expansion of N in N 0.524 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.524 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.524 * [taylor]: Taking taylor expansion of -1 in N 0.524 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.524 * [taylor]: Taking taylor expansion of N in N 0.524 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.524 * [taylor]: Taking taylor expansion of 1.0 in N 0.524 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.524 * [taylor]: Taking taylor expansion of N in N 0.560 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.560 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.560 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.560 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.560 * [taylor]: Taking taylor expansion of N in N 0.560 * [taylor]: Taking taylor expansion of 1.0 in N 0.561 * [taylor]: Taking taylor expansion of N in N 0.561 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.561 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.561 * [taylor]: Taking taylor expansion of N in N 0.561 * [taylor]: Taking taylor expansion of 1.0 in N 0.561 * [taylor]: Taking taylor expansion of N in N 0.567 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.567 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.567 * [taylor]: Taking taylor expansion of N in N 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.568 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.568 * [taylor]: Taking taylor expansion of N in N 0.568 * [taylor]: Taking taylor expansion of 1.0 in N 0.568 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.568 * [taylor]: Taking taylor expansion of N in N 0.568 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.568 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.568 * [taylor]: Taking taylor expansion of N in N 0.568 * [taylor]: Taking taylor expansion of 1.0 in N 0.581 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.582 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.582 * [taylor]: Taking taylor expansion of -1 in N 0.582 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.582 * [taylor]: Taking taylor expansion of N in N 0.582 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.582 * [taylor]: Taking taylor expansion of 1.0 in N 0.582 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.582 * [taylor]: Taking taylor expansion of N in N 0.582 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.582 * [taylor]: Taking taylor expansion of -1 in N 0.582 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.582 * [taylor]: Taking taylor expansion of N in N 0.582 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.582 * [taylor]: Taking taylor expansion of 1.0 in N 0.582 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.582 * [taylor]: Taking taylor expansion of N in N 0.608 * * * [progress]: simplifying candidates 0.609 * [simplify]: Simplifying using # : (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 0.614 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 0.619 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 0.633 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 0.709 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.711 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (fma 2 (log (cbrt (+ N 1.0))) (log (/ 1 (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (fma N (* 1.0 (- 1.0 N)) (pow N 3)) (* N (- N 1.0)) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) 0.712 * * * [progress]: adding candidates to table 0.805 * * [progress]: iteration 3 / 4 0.805 * * * [progress]: picking best candidate 0.811 * * * * [pick]: Picked # 0.811 * * * [progress]: localizing error 0.822 * * * [progress]: generating rewritten candidates 0.822 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.830 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.833 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.835 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.842 * * * [progress]: generating series expansions 0.842 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.842 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.842 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.842 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.842 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.842 * [taylor]: Taking taylor expansion of N in N 0.843 * [taylor]: Taking taylor expansion of 1.0 in N 0.843 * [taylor]: Taking taylor expansion of (log N) in N 0.843 * [taylor]: Taking taylor expansion of N in N 0.844 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.844 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.844 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.844 * [taylor]: Taking taylor expansion of N in N 0.844 * [taylor]: Taking taylor expansion of 1.0 in N 0.844 * [taylor]: Taking taylor expansion of (log N) in N 0.844 * [taylor]: Taking taylor expansion of N in N 0.866 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.866 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.866 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.866 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.866 * [taylor]: Taking taylor expansion of N in N 0.867 * [taylor]: Taking taylor expansion of 1.0 in N 0.867 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.867 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.867 * [taylor]: Taking taylor expansion of N in N 0.868 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.868 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.868 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.868 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.868 * [taylor]: Taking taylor expansion of N in N 0.868 * [taylor]: Taking taylor expansion of 1.0 in N 0.868 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.868 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.868 * [taylor]: Taking taylor expansion of N in N 0.898 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.898 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.898 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.898 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.898 * [taylor]: Taking taylor expansion of 1.0 in N 0.898 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.898 * [taylor]: Taking taylor expansion of N in N 0.899 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.899 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.899 * [taylor]: Taking taylor expansion of -1 in N 0.899 * [taylor]: Taking taylor expansion of N in N 0.900 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.900 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.900 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.900 * [taylor]: Taking taylor expansion of 1.0 in N 0.900 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.900 * [taylor]: Taking taylor expansion of N in N 0.901 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.901 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.901 * [taylor]: Taking taylor expansion of -1 in N 0.901 * [taylor]: Taking taylor expansion of N in N 0.938 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.938 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.938 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.938 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.938 * [taylor]: Taking taylor expansion of N in N 0.938 * [taylor]: Taking taylor expansion of 1.0 in N 0.939 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.939 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.939 * [taylor]: Taking taylor expansion of N in N 0.939 * [taylor]: Taking taylor expansion of 1.0 in N 0.950 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.950 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.950 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.950 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.950 * [taylor]: Taking taylor expansion of N in N 0.951 * [taylor]: Taking taylor expansion of 1.0 in N 0.951 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.951 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.951 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.951 * [taylor]: Taking taylor expansion of N in N 0.951 * [taylor]: Taking taylor expansion of 1.0 in N 0.963 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.963 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.964 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.964 * [taylor]: Taking taylor expansion of 1.0 in N 0.964 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.964 * [taylor]: Taking taylor expansion of N in N 0.965 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.965 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.965 * [taylor]: Taking taylor expansion of 1.0 in N 0.965 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.965 * [taylor]: Taking taylor expansion of N in N 0.978 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.979 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.979 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.979 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.979 * [taylor]: Taking taylor expansion of N in N 0.979 * [taylor]: Taking taylor expansion of 1.0 in N 0.979 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.979 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.979 * [taylor]: Taking taylor expansion of N in N 0.979 * [taylor]: Taking taylor expansion of 1.0 in N 0.991 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.991 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.991 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.991 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.991 * [taylor]: Taking taylor expansion of N in N 0.991 * [taylor]: Taking taylor expansion of 1.0 in N 0.992 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.992 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.992 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.992 * [taylor]: Taking taylor expansion of N in N 0.992 * [taylor]: Taking taylor expansion of 1.0 in N 1.004 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 1.004 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.004 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.004 * [taylor]: Taking taylor expansion of 1.0 in N 1.004 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.004 * [taylor]: Taking taylor expansion of N in N 1.005 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.005 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.005 * [taylor]: Taking taylor expansion of 1.0 in N 1.005 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.005 * [taylor]: Taking taylor expansion of N in N 1.025 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.025 * [approximate]: Taking taylor expansion of (log (log (+ N 1.0))) in (N) around 0 1.025 * [taylor]: Taking taylor expansion of (log (log (+ N 1.0))) in N 1.025 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.025 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.025 * [taylor]: Taking taylor expansion of N in N 1.025 * [taylor]: Taking taylor expansion of 1.0 in N 1.026 * [taylor]: Taking taylor expansion of (log (log (+ N 1.0))) in N 1.026 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.026 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.026 * [taylor]: Taking taylor expansion of N in N 1.026 * [taylor]: Taking taylor expansion of 1.0 in N 1.063 * [approximate]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in (N) around 0 1.063 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in N 1.063 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.063 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.063 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.063 * [taylor]: Taking taylor expansion of N in N 1.063 * [taylor]: Taking taylor expansion of 1.0 in N 1.064 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in N 1.064 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.064 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.064 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.064 * [taylor]: Taking taylor expansion of N in N 1.064 * [taylor]: Taking taylor expansion of 1.0 in N 1.081 * [approximate]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in (N) around 0 1.081 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in N 1.081 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.081 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.081 * [taylor]: Taking taylor expansion of 1.0 in N 1.081 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.081 * [taylor]: Taking taylor expansion of N in N 1.083 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in N 1.083 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.083 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.083 * [taylor]: Taking taylor expansion of 1.0 in N 1.083 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.083 * [taylor]: Taking taylor expansion of N in N 1.113 * * * [progress]: simplifying candidates 1.115 * [simplify]: Simplifying using # : (fma (exp (log 1)) (exp (log (log (+ N 1.0)))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (exp (log 1)) (exp (log (log (+ N 1.0)))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (exp (log 1)) (exp (log (log (+ N 1.0)))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (exp (log 1)) (exp (log (log (+ N 1.0)))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (exp (log (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))))) (exp (log (cbrt (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (exp (log (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))))) (exp (log (cbrt (log (+ N 1.0))))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (exp (log (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))))) (exp (log (cbrt (log (+ N 1.0))))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (exp (log (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))))) (exp (log (cbrt (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (exp (log (sqrt (log (+ N 1.0))))) (exp (log (sqrt (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (exp (log (sqrt (log (+ N 1.0))))) (exp (log (sqrt (log (+ N 1.0))))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (exp (log (sqrt (log (+ N 1.0))))) (exp (log (sqrt (log (+ N 1.0))))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (exp (log (sqrt (log (+ N 1.0))))) (exp (log (sqrt (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (exp (log 1)) (exp (log (log (+ N 1.0)))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (exp (log 1)) (exp (log (log (+ N 1.0)))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (exp 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(log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (exp (log (log (+ N 1.0)))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (exp (log (log (+ N 1.0)))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (exp (log (log (+ N 1.0)))) (log N))) (log1p (- (exp (log (log (+ N 1.0)))) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (exp (exp (log (log (+ N 1.0))))) N) (log (- (exp (log (log (+ N 1.0)))) (log N))) (exp (- (exp (log (log (+ N 1.0)))) (log N))) (* (cbrt (- (exp (log (log (+ N 1.0)))) (log N))) (cbrt (- (exp (log (log (+ N 1.0)))) (log N)))) (cbrt (- (exp (log (log (+ N 1.0)))) (log N))) (* (* (- (exp (log (log (+ N 1.0)))) (log N)) (- (exp (log (log (+ N 1.0)))) (log N))) (- (exp (log (log (+ N 1.0)))) (log N))) (sqrt (- (exp (log (log (+ N 1.0)))) (log N))) (sqrt (- (exp (log (log (+ N 1.0)))) (log N))) (- (pow (exp (log (log (+ N 1.0)))) 3) (pow (log N) 3)) (+ (* (exp (log (log (+ N 1.0)))) (exp (log (log (+ N 1.0))))) (+ (* (log N) (log N)) (* (exp (log (log (+ N 1.0)))) (log N)))) (- (log N)) (- (* (exp (log (log (+ N 1.0)))) (exp (log (log (+ N 1.0))))) (* (log N) (log N))) (+ (exp (log (log (+ N 1.0)))) (log N)) (+ (exp (log (sqrt (log (+ N 1.0))))) (sqrt (log N))) (- (exp (log (sqrt (log (+ N 1.0))))) (sqrt (log N))) (+ (sqrt (exp (log (log (+ N 1.0))))) (sqrt (log N))) (- (sqrt (exp (log (log (+ N 1.0))))) (sqrt (log N))) (- (exp (log (log (+ N 1.0)))) (log N)) (- (exp (log (log (+ N 1.0)))) (log N)) (- (exp (log (log (+ N 1.0)))) (log (* (cbrt N) (cbrt N)))) (- (exp (log (log (+ N 1.0)))) (log (sqrt N))) (- (exp (log (log (+ N 1.0)))) (log 1)) (- (log N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (expm1 (exp (log (log (+ N 1.0))))) (log1p (exp (log (log (+ N 1.0))))) (exp 1) (exp (* (cbrt (log (log (+ N 1.0)))) (cbrt (log (log (+ N 1.0)))))) (exp (sqrt (log (log (+ N 1.0))))) (exp 1) (exp (log 1)) (exp (log (log (+ N 1.0)))) (exp (log (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))))) (exp (log (cbrt (log (+ N 1.0))))) (exp (log (sqrt (log (+ N 1.0))))) (exp (log (sqrt (log (+ N 1.0))))) (exp (log 1)) (exp (log (log (+ N 1.0)))) (log (exp (log (log (+ N 1.0))))) (exp (exp (log (log (+ N 1.0))))) (* (cbrt (exp (log (log (+ N 1.0))))) (cbrt (exp (log (log (+ N 1.0)))))) (cbrt (exp (log (log (+ N 1.0))))) (* (* (exp (log (log (+ N 1.0)))) (exp (log (log (+ N 1.0))))) (exp (log (log (+ N 1.0))))) (sqrt (exp (log (log (+ N 1.0))))) (sqrt (exp (log (log (+ N 1.0))))) (expm1 (log (log (+ N 1.0)))) (log1p (log (log (+ N 1.0)))) (log 1) (log (log (+ N 1.0))) (log (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0))))) (log (cbrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) (log 1) (log (log (+ N 1.0))) (log (log (+ N 1.0))) (log (log (log (+ N 1.0)))) (exp (log (log (+ N 1.0)))) (* (cbrt (log (log (+ N 1.0)))) (cbrt (log (log (+ N 1.0))))) (cbrt (log (log (+ N 1.0)))) (* (* (log (log (+ N 1.0))) (log (log (+ N 1.0)))) (log (log (+ N 1.0)))) (sqrt (log (log (+ N 1.0)))) (sqrt (log (log (+ N 1.0)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (log (log 1.0)) (* 1.0 (/ N (log 1.0)))) (+ (* 0.5 (/ (pow N 2) (pow (log 1.0) 2))) (* 1/2 (/ (pow N 2) (* (log 1.0) (pow 1.0 2)))))) (- (+ (log (- (log (/ 1 N)))) (* 0.5 (/ 1 (* (pow N 2) (log (/ 1 N)))))) (+ (* 0.5 (/ 1 (* (pow N 2) (pow (log (/ 1 N)) 2)))) (* 1.0 (/ 1 (* N (log (/ 1 N))))))) (- (+ (log (- (log -1) (log (/ -1 N)))) (* 1.0 (/ 1 (* (- (log -1) (log (/ -1 N))) N)))) (+ (* 0.5 (/ 1 (* (pow (- (log -1) (log (/ -1 N))) 2) (pow N 2)))) (* 0.5 (/ 1 (* (- (log -1) (log (/ -1 N))) (pow N 2)))))) 1.122 * * [simplify]: iteration 0 : 448 enodes (cost 1188 ) 1.129 * * [simplify]: iteration 1 : 1481 enodes (cost 809 ) 1.159 * * [simplify]: iteration 2 : 5001 enodes (cost 615 ) 1.164 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- 0 (- (log N) (pow (cbrt (log (+ N 1.0))) 3))) 0 (- 0 (- (log N) (pow (cbrt (log (+ N 1.0))) 3))) 0 (- 0 (- (log N) (pow (cbrt (log (+ N 1.0))) 3))) 0 (- 0 (- (log N) (pow (cbrt (log (+ N 1.0))) 3))) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- 0 (- (log N) (pow (cbrt (log (+ N 1.0))) 3))) 0 (- 0 (- (log N) (pow (cbrt (log (+ N 1.0))) 3))) 0 (- 0 (- (log N) (pow (cbrt (log (+ N 1.0))) 3))) 0 (- 0 (- (log N) (pow (cbrt (log (+ N 1.0))) 3))) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (exp (log (log (+ N 1.0)))) (log N))) (log1p (- (exp (log (log (+ N 1.0)))) (log N))) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (/ (+ N 1.0) (exp (log N))) (log (- (exp (log (log (+ N 1.0)))) (log N))) (/ (+ N 1.0) (exp (log N))) (* (cbrt (- (exp (log (log (+ N 1.0)))) (log N))) (cbrt (- (exp (log (log (+ N 1.0)))) (log N)))) (cbrt (- (exp (log (log (+ N 1.0)))) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (exp (log (log (+ N 1.0)))) (log N))) (sqrt (- (exp (log (log (+ N 1.0)))) (log N))) (+ (- (pow (log N) 3)) (pow (log (+ N 1.0)) 3)) (fma (log N) (+ (log N) (log (+ N 1.0))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (log (/ 1 N)) (* (+ (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (+ (log N) (log (+ N 1.0))) (+ (sqrt (log N)) (sqrt (log (+ N 1.0)))) (+ (sqrt (log (+ N 1.0))) (- (sqrt (log N)))) (+ (sqrt (log N)) (sqrt (log (+ 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(log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (pow (exp 2) (log (cbrt (log (+ N 1.0))))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (expm1 (log (log (+ N 1.0)))) (log1p (log (log (+ N 1.0)))) 0 (log (log (+ N 1.0))) (* 2 (log (cbrt (log (+ N 1.0))))) (log (cbrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) (log (sqrt (log (+ N 1.0)))) 0 (log (log (+ N 1.0))) (log (log (+ N 1.0))) (log (log (log (+ N 1.0)))) (log (+ N 1.0)) (* (cbrt (log (log (+ N 1.0)))) (cbrt (log (log (+ N 1.0))))) (cbrt (log (log (+ N 1.0)))) (pow (log (log (+ N 1.0))) 3) (sqrt (log (log (+ N 1.0)))) (sqrt (log (log (+ N 1.0)))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (+ (* (/ 1 N) (- 1.0 (/ 0.5 N))) (log N)) (+ (* (/ 1 N) (- 1.0 (/ 0.5 N))) (log N)) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (+ (* (/ 1 N) (- 1.0 (/ 0.5 N))) (log N)) (+ (* (/ 1 N) (- 1.0 (/ 0.5 N))) (log N)) (- (* 1.0 (/ N (log 1.0))) (- (* (/ (pow N 2) (log 1.0)) (+ (/ 0.5 (log 1.0)) (/ 1/2 (pow 1.0 2)))) (log (log 1.0)))) (- (+ (+ (log (log N)) 0) (* (/ 1 (log (/ 1 N))) (- (/ (/ 0.5 N) N) (/ 1.0 N)))) (/ (/ 0.5 (pow (log (/ 1 N)) 2)) (pow N 2))) (- (+ (log (- (log -1) (log (/ -1 N)))) (* (/ 1 (- (log -1) (log (/ -1 N)))) (* (/ 1 N) (- 1.0 (/ 0.5 N))))) (/ (/ (/ 0.5 N) N) (pow (- (log -1) (log (/ -1 N))) 2))) 1.164 * * * [progress]: adding candidates to table 1.346 * * [progress]: iteration 4 / 4 1.346 * * * [progress]: picking best candidate 1.350 * * * * [pick]: Picked # 1.350 * * * [progress]: localizing error 1.364 * * * [progress]: generating rewritten candidates 1.364 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 1.369 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.372 * * * [progress]: generating series expansions 1.372 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 1.372 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 1.372 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.372 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.372 * [taylor]: Taking taylor expansion of N in N 1.373 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.373 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.373 * [taylor]: Taking taylor expansion of N in N 1.380 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 1.381 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.381 * [taylor]: Taking taylor expansion of N in N 1.381 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.381 * [taylor]: Taking taylor expansion of N in N 1.385 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 1.385 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.385 * [taylor]: Taking taylor expansion of N in N 1.385 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.385 * [taylor]: Taking taylor expansion of N in N 1.389 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.389 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in (N) around 0 1.389 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 1.389 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 1.389 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 1.389 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.389 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.389 * [taylor]: Taking taylor expansion of N in N 1.390 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 1.390 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 1.390 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.390 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.390 * [taylor]: Taking taylor expansion of N in N 1.390 * [taylor]: Taking taylor expansion of 0.5 in N 1.390 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 1.390 * [taylor]: Taking taylor expansion of 1.0 in N 1.390 * [taylor]: Taking taylor expansion of N in N 1.390 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 1.391 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 1.391 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 1.391 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.391 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.391 * [taylor]: Taking taylor expansion of N in N 1.391 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 1.391 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 1.391 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.391 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.391 * [taylor]: Taking taylor expansion of N in N 1.391 * [taylor]: Taking taylor expansion of 0.5 in N 1.391 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 1.391 * [taylor]: Taking taylor expansion of 1.0 in N 1.391 * [taylor]: Taking taylor expansion of N in N 1.401 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in (N) around 0 1.401 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 1.401 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 1.401 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 1.401 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.401 * [taylor]: Taking taylor expansion of N in N 1.401 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 1.401 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 1.401 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.401 * [taylor]: Taking taylor expansion of N in N 1.401 * [taylor]: Taking taylor expansion of 0.5 in N 1.401 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.401 * [taylor]: Taking taylor expansion of 1.0 in N 1.401 * [taylor]: Taking taylor expansion of N in N 1.401 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 1.401 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 1.401 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 1.401 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.401 * [taylor]: Taking taylor expansion of N in N 1.401 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 1.402 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 1.402 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.402 * [taylor]: Taking taylor expansion of N in N 1.402 * [taylor]: Taking taylor expansion of 0.5 in N 1.402 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.402 * [taylor]: Taking taylor expansion of 1.0 in N 1.402 * [taylor]: Taking taylor expansion of N in N 1.410 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in (N) around 0 1.410 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 1.410 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 1.410 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 1.410 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.410 * [taylor]: Taking taylor expansion of N in N 1.410 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 1.411 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 1.411 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 1.411 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.411 * [taylor]: Taking taylor expansion of N in N 1.411 * [taylor]: Taking taylor expansion of 0.5 in N 1.411 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 1.411 * [taylor]: Taking taylor expansion of -1.0 in N 1.411 * [taylor]: Taking taylor expansion of N in N 1.411 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 1.411 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 1.411 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 1.411 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.411 * [taylor]: Taking taylor expansion of N in N 1.411 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 1.411 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 1.411 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 1.411 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.411 * [taylor]: Taking taylor expansion of N in N 1.411 * [taylor]: Taking taylor expansion of 0.5 in N 1.411 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 1.411 * [taylor]: Taking taylor expansion of -1.0 in N 1.411 * [taylor]: Taking taylor expansion of N in N 1.421 * * * [progress]: simplifying candidates 1.422 * [simplify]: Simplifying using # : (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) (- 2) (- (* (log N) 2)) (- (* (log N) 2)) (- (log (pow N 2))) (- 0 (* (log N) 2)) (- 0 (* (log N) 2)) (- 0 (log (pow N 2))) (- (log 1) (* (log N) 2)) (- (log 1) (* (log N) 2)) (- (log 1) (log (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (- 1) (- (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 2)) (/ (cbrt 1) (pow (cbrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 2)) (/ (cbrt 1) (pow (sqrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (cbrt 1) (cbrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 2))) (/ (cbrt 1) (sqrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 2 2))) (/ (cbrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 2)) (/ (sqrt 1) (pow (cbrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (sqrt 1) (cbrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow N (/ 2 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (cbrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N 2)) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N 2)) (/ (pow N 2) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N (/ 2 2))) (/ (pow N 2) (cbrt 1)) (/ (pow N 2) (sqrt 1)) (/ (pow N 2) 1) (expm1 (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (log1p (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (log (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (exp (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (* (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 1.427 * * [simplify]: iteration 0 : 208 enodes (cost 384 ) 1.432 * * [simplify]: iteration 1 : 789 enodes (cost 315 ) 1.453 * * [simplify]: iteration 2 : 5001 enodes (cost 269 ) 1.455 * [simplify]: Simplified to: (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) (- 2) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ 1 (pow (pow N 2) 3)) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (/ 1 (pow (pow N 2) 3)) (fabs (/ 1 N)) (fabs (/ 1 N)) (- 1) (- (pow N 2)) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow N 2)) (pow N 2) (/ 1 (pow (cbrt N) 4)) (/ 1 N) 1 (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (fabs N)) 1 (/ 1 N) (pow N 2) (pow N 2) (pow N 2) (expm1 (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (log1p (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (log (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (exp (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (pow (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) 3) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) 1.456 * * * [progress]: adding candidates to table 1.545 * [progress]: [Phase 3 of 3] Extracting. 1.545 * * [regime]: Finding splitpoints for: (# # # #) 1.545 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.546 * * * * [regimes]: Trying to branch on N from (# # # #) 1.566 * * * [regime]: Found split indices: #