5.250 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.045 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.046 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.048 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.048 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.048 * * [progress]: iteration 1 / 4 0.048 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.056 * * * [progress]: generating rewritten candidates 0.056 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.060 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.069 * * * [progress]: generating series expansions 0.069 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.070 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.070 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.070 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.070 * [taylor]: Taking taylor expansion of N in N 0.070 * [taylor]: Taking taylor expansion of 1.0 in N 0.070 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.070 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.070 * [taylor]: Taking taylor expansion of N in N 0.071 * [taylor]: Taking taylor expansion of 1.0 in N 0.082 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.083 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.083 * [taylor]: Taking taylor expansion of (/ 1 N) 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 (+ (/ 1 N) 1.0)) in N 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.083 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.084 * [taylor]: Taking taylor expansion of 1.0 in N 0.100 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.100 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.100 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.100 * [taylor]: Taking taylor expansion of 1.0 in N 0.100 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.100 * [taylor]: Taking taylor expansion of N in N 0.101 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.101 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.101 * [taylor]: Taking taylor expansion of 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 0.115 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.115 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.115 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.115 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.115 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.115 * [taylor]: Taking taylor expansion of N in N 0.115 * [taylor]: Taking taylor expansion of 1.0 in N 0.116 * [taylor]: Taking taylor expansion of (log N) in N 0.116 * [taylor]: Taking taylor expansion of N in N 0.116 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.116 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.116 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.116 * [taylor]: Taking taylor expansion of N in N 0.116 * [taylor]: Taking taylor expansion of 1.0 in N 0.117 * [taylor]: Taking taylor expansion of (log N) in N 0.117 * [taylor]: Taking taylor expansion of N in N 0.134 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.134 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.134 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.134 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.134 * [taylor]: Taking taylor expansion of N in N 0.135 * [taylor]: Taking taylor expansion of 1.0 in N 0.135 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.135 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.135 * [taylor]: Taking taylor expansion of N in N 0.136 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.136 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.136 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.136 * [taylor]: Taking taylor expansion of N in N 0.136 * [taylor]: Taking taylor expansion of 1.0 in N 0.137 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.166 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.166 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.166 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.166 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.166 * [taylor]: Taking taylor expansion of 1.0 in N 0.166 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.166 * [taylor]: Taking taylor expansion of N in N 0.167 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.167 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.167 * [taylor]: Taking taylor expansion of -1 in N 0.167 * [taylor]: Taking taylor expansion of N in N 0.168 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.168 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.168 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.168 * [taylor]: Taking taylor expansion of 1.0 in N 0.168 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.168 * [taylor]: Taking taylor expansion of N in N 0.169 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.169 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.169 * [taylor]: Taking taylor expansion of -1 in N 0.169 * [taylor]: Taking taylor expansion of N in N 0.205 * * * [progress]: simplifying candidates 0.206 * [simplify]: Simplifying using # : (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))) (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)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.211 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.215 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.232 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.325 * * [simplify]: iteration 3 : 5001 enodes (cost 345 ) 0.327 * [simplify]: Simplified to: (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))) (- (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)) (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))))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) (+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N)) 0.328 * * * [progress]: adding candidates to table 0.458 * * [progress]: iteration 2 / 4 0.458 * * * [progress]: picking best candidate 0.462 * * * * [pick]: Picked # 0.462 * * * [progress]: localizing error 0.472 * * * [progress]: generating rewritten candidates 0.472 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.482 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.486 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.488 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.495 * * * [progress]: generating series expansions 0.495 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.495 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.495 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.495 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.495 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [taylor]: Taking taylor expansion of 1.0 in N 0.496 * [taylor]: Taking taylor expansion of (log N) in N 0.496 * [taylor]: Taking taylor expansion of N in N 0.496 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.496 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.496 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [taylor]: Taking taylor expansion of 1.0 in N 0.497 * [taylor]: Taking taylor expansion of (log N) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.515 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.515 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.515 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.515 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.515 * [taylor]: Taking taylor expansion of N in N 0.516 * [taylor]: Taking taylor expansion of 1.0 in N 0.516 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.516 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.516 * [taylor]: Taking taylor expansion of N in N 0.517 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.517 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.517 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.517 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.517 * [taylor]: Taking taylor expansion of N in N 0.517 * [taylor]: Taking taylor expansion of 1.0 in N 0.518 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.518 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.518 * [taylor]: Taking taylor expansion of N in N 0.548 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.548 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.548 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.548 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.548 * [taylor]: Taking taylor expansion of 1.0 in N 0.548 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.548 * [taylor]: Taking taylor expansion of N in N 0.549 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.549 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.549 * [taylor]: Taking taylor expansion of -1 in N 0.549 * [taylor]: Taking taylor expansion of N in N 0.550 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.550 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.550 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.550 * [taylor]: Taking taylor expansion of 1.0 in N 0.550 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.550 * [taylor]: Taking taylor expansion of N in N 0.551 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.551 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.551 * [taylor]: Taking taylor expansion of -1 in N 0.551 * [taylor]: Taking taylor expansion of N in N 0.588 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.588 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.588 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.588 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.588 * [taylor]: Taking taylor expansion of N in N 0.589 * [taylor]: Taking taylor expansion of 1.0 in N 0.589 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.589 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.589 * [taylor]: Taking taylor expansion of N in N 0.589 * [taylor]: Taking taylor expansion of 1.0 in N 0.600 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.600 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.600 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.600 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.600 * [taylor]: Taking taylor expansion of N in N 0.601 * [taylor]: Taking taylor expansion of 1.0 in N 0.601 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.601 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.601 * [taylor]: Taking taylor expansion of N in N 0.601 * [taylor]: Taking taylor expansion of 1.0 in N 0.613 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.613 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.613 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.613 * [taylor]: Taking taylor expansion of 1.0 in N 0.613 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.613 * [taylor]: Taking taylor expansion of N in N 0.614 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.614 * [taylor]: Taking taylor expansion of 1.0 in N 0.614 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.614 * [taylor]: Taking taylor expansion of N in N 0.628 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.628 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.628 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.628 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.628 * [taylor]: Taking taylor expansion of N in N 0.628 * [taylor]: Taking taylor expansion of 1.0 in N 0.629 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.629 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.629 * [taylor]: Taking taylor expansion of N in N 0.629 * [taylor]: Taking taylor expansion of 1.0 in N 0.643 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.643 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.643 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.643 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.643 * [taylor]: Taking taylor expansion of N in N 0.643 * [taylor]: Taking taylor expansion of 1.0 in N 0.644 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.644 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.644 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.644 * [taylor]: Taking taylor expansion of N in N 0.644 * [taylor]: Taking taylor expansion of 1.0 in N 0.656 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.656 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.656 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.656 * [taylor]: Taking taylor expansion of 1.0 in N 0.656 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.656 * [taylor]: Taking taylor expansion of N in N 0.657 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.657 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.657 * [taylor]: Taking taylor expansion of 1.0 in N 0.657 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.657 * [taylor]: Taking taylor expansion of N in N 0.672 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.672 * [approximate]: Taking taylor expansion of (log (log (+ N 1.0))) in (N) around 0 0.672 * [taylor]: Taking taylor expansion of (log (log (+ N 1.0))) in N 0.672 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.672 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.672 * [taylor]: Taking taylor expansion of N in N 0.672 * [taylor]: Taking taylor expansion of 1.0 in N 0.673 * [taylor]: Taking taylor expansion of (log (log (+ N 1.0))) in N 0.673 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.673 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.673 * [taylor]: Taking taylor expansion of N in N 0.673 * [taylor]: Taking taylor expansion of 1.0 in N 0.710 * [approximate]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in (N) around 0 0.710 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in N 0.710 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.710 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.710 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.710 * [taylor]: Taking taylor expansion of N in N 0.710 * [taylor]: Taking taylor expansion of 1.0 in N 0.711 * [taylor]: Taking taylor expansion of (log (log (+ (/ 1 N) 1.0))) in N 0.711 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.711 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.711 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.711 * [taylor]: Taking taylor expansion of N in N 0.711 * [taylor]: Taking taylor expansion of 1.0 in N 0.735 * [approximate]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in (N) around 0 0.735 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in N 0.735 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.735 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.735 * [taylor]: Taking taylor expansion of 1.0 in N 0.735 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.735 * [taylor]: Taking taylor expansion of N in N 0.737 * [taylor]: Taking taylor expansion of (log (log (- 1.0 (/ 1 N)))) in N 0.737 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.737 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.737 * [taylor]: Taking taylor expansion of 1.0 in N 0.737 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.737 * [taylor]: Taking taylor expansion of N in N 0.760 * * * [progress]: simplifying candidates 0.761 * [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 (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 (* (cbrt (exp (log (log (+ N 1.0))))) (cbrt (exp (log (log (+ N 1.0)))))) (cbrt (exp (log (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (exp (log (log (+ N 1.0))))) (cbrt (exp (log (log (+ N 1.0)))))) (cbrt (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 (* (cbrt (exp (log (log (+ N 1.0))))) (cbrt (exp (log (log (+ N 1.0)))))) (cbrt (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 (* (cbrt (exp (log (log (+ N 1.0))))) (cbrt (exp (log (log (+ N 1.0)))))) (cbrt (exp (log (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (exp (log (log (+ N 1.0))))) (sqrt (exp (log (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (exp (log (log (+ N 1.0))))) (sqrt (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 (sqrt (exp (log (log (+ N 1.0))))) (sqrt (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 (sqrt (exp (log (log (+ N 1.0))))) (sqrt (exp (log (log (+ N 1.0))))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (exp (log (log (+ N 1.0)))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 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 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)))))) 0.768 * * [simplify]: iteration 0 : 448 enodes (cost 1188 ) 0.775 * * [simplify]: iteration 1 : 1481 enodes (cost 809 ) 0.804 * * [simplify]: iteration 2 : 5001 enodes (cost 615 ) 0.807 * [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 (+ N 1.0)))) (+ (sqrt (log (+ N 1.0))) (- (sqrt (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 (/ 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) (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 (+ N 1.0))) (log1p (log (+ N 1.0))) E (exp (* (cbrt (log (log (+ N 1.0)))) (cbrt (log (log (+ N 1.0)))))) (exp (sqrt (log (log (+ N 1.0))))) E 1 (log (+ N 1.0)) (pow (exp 2) (log (cbrt (log (+ N 1.0))))) (cbrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) 1 (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))) 0.808 * * * [progress]: adding candidates to table 1.022 * * [progress]: iteration 3 / 4 1.022 * * * [progress]: picking best candidate 1.025 * * * * [pick]: Picked # 1.025 * * * [progress]: localizing error 1.038 * * * [progress]: generating rewritten candidates 1.038 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.039 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.044 * * * * [progress]: [ 3 / 4 ] rewriting at (2 3 2) 1.049 * * * * [progress]: [ 4 / 4 ] rewriting at (2 3) 1.055 * * * [progress]: generating series expansions 1.055 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.055 * [approximate]: Taking taylor expansion of (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) in (N) around 0 1.055 * [taylor]: Taking taylor expansion of (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) in N 1.056 * [taylor]: Rewrote expression to (+ (* (- 0.5) (/ 1 (pow N 2))) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) 1.056 * [taylor]: Taking taylor expansion of (* (- 0.5) (/ 1 (pow N 2))) in N 1.056 * [taylor]: Taking taylor expansion of (- 0.5) in N 1.056 * [taylor]: Taking taylor expansion of 0.5 in N 1.056 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.056 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.056 * [taylor]: Taking taylor expansion of N in N 1.056 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) in N 1.057 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (/ 1.0 N)) 1.057 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 1.057 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.057 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.057 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.057 * [taylor]: Taking taylor expansion of N in N 1.058 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 1.058 * [taylor]: Taking taylor expansion of 1.0 in N 1.058 * [taylor]: Taking taylor expansion of N in N 1.058 * [taylor]: Taking taylor expansion of (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) in N 1.058 * [taylor]: Rewrote expression to (+ (* (- 0.5) (/ 1 (pow N 2))) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) 1.058 * [taylor]: Taking taylor expansion of (* (- 0.5) (/ 1 (pow N 2))) in N 1.058 * [taylor]: Taking taylor expansion of (- 0.5) in N 1.058 * [taylor]: Taking taylor expansion of 0.5 in N 1.058 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.058 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.058 * [taylor]: Taking taylor expansion of N in N 1.059 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) in N 1.059 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (/ 1.0 N)) 1.059 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 1.059 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.059 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.059 * [taylor]: Taking taylor expansion of N in N 1.060 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 1.060 * [taylor]: Taking taylor expansion of 1.0 in N 1.060 * [taylor]: Taking taylor expansion of N in N 1.069 * [approximate]: Taking taylor expansion of (fma (- 0.5) (pow N 2) (fma 0.3333333333333333 (pow N 3) (* 1.0 N))) in (N) around 0 1.069 * [taylor]: Taking taylor expansion of (fma (- 0.5) (pow N 2) (fma 0.3333333333333333 (pow N 3) (* 1.0 N))) in N 1.069 * [taylor]: Rewrote expression to (+ (* (- 0.5) (pow N 2)) (fma 0.3333333333333333 (pow N 3) (* 1.0 N))) 1.069 * [taylor]: Taking taylor expansion of (* (- 0.5) (pow N 2)) in N 1.069 * [taylor]: Taking taylor expansion of (- 0.5) in N 1.069 * [taylor]: Taking taylor expansion of 0.5 in N 1.069 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.069 * [taylor]: Taking taylor expansion of N in N 1.069 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (pow N 3) (* 1.0 N)) in N 1.069 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (pow N 3)) (* 1.0 N)) 1.069 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.069 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.069 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.069 * [taylor]: Taking taylor expansion of N in N 1.069 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.069 * [taylor]: Taking taylor expansion of 1.0 in N 1.069 * [taylor]: Taking taylor expansion of N in N 1.069 * [taylor]: Taking taylor expansion of (fma (- 0.5) (pow N 2) (fma 0.3333333333333333 (pow N 3) (* 1.0 N))) in N 1.069 * [taylor]: Rewrote expression to (+ (* (- 0.5) (pow N 2)) (fma 0.3333333333333333 (pow N 3) (* 1.0 N))) 1.070 * [taylor]: Taking taylor expansion of (* (- 0.5) (pow N 2)) in N 1.070 * [taylor]: Taking taylor expansion of (- 0.5) in N 1.070 * [taylor]: Taking taylor expansion of 0.5 in N 1.070 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.070 * [taylor]: Taking taylor expansion of N in N 1.070 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (pow N 3) (* 1.0 N)) in N 1.070 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (pow N 3)) (* 1.0 N)) 1.070 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.070 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.070 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.070 * [taylor]: Taking taylor expansion of N in N 1.070 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.070 * [taylor]: Taking taylor expansion of 1.0 in N 1.070 * [taylor]: Taking taylor expansion of N in N 1.083 * [approximate]: Taking taylor expansion of (fma (- 0.5) (pow N 2) (fma 0.3333333333333333 (* -1 (pow N 3)) (* -1.0 N))) in (N) around 0 1.083 * [taylor]: Taking taylor expansion of (fma (- 0.5) (pow N 2) (fma 0.3333333333333333 (* -1 (pow N 3)) (* -1.0 N))) in N 1.083 * [taylor]: Rewrote expression to (+ (* (- 0.5) (pow N 2)) (fma 0.3333333333333333 (* -1 (pow N 3)) (* -1.0 N))) 1.083 * [taylor]: Taking taylor expansion of (* (- 0.5) (pow N 2)) in N 1.083 * [taylor]: Taking taylor expansion of (- 0.5) in N 1.083 * [taylor]: Taking taylor expansion of 0.5 in N 1.083 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.083 * [taylor]: Taking taylor expansion of N in N 1.083 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (* -1 (pow N 3)) (* -1.0 N)) in N 1.083 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (* -1 (pow N 3))) (* -1.0 N)) 1.083 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* -1 (pow N 3))) in N 1.083 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.083 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 1.083 * [taylor]: Taking taylor expansion of -1 in N 1.083 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.083 * [taylor]: Taking taylor expansion of N in N 1.083 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 1.083 * [taylor]: Taking taylor expansion of -1.0 in N 1.084 * [taylor]: Taking taylor expansion of N in N 1.084 * [taylor]: Taking taylor expansion of (fma (- 0.5) (pow N 2) (fma 0.3333333333333333 (* -1 (pow N 3)) (* -1.0 N))) in N 1.084 * [taylor]: Rewrote expression to (+ (* (- 0.5) (pow N 2)) (fma 0.3333333333333333 (* -1 (pow N 3)) (* -1.0 N))) 1.084 * [taylor]: Taking taylor expansion of (* (- 0.5) (pow N 2)) in N 1.084 * [taylor]: Taking taylor expansion of (- 0.5) in N 1.084 * [taylor]: Taking taylor expansion of 0.5 in N 1.084 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.084 * [taylor]: Taking taylor expansion of N in N 1.084 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (* -1 (pow N 3)) (* -1.0 N)) in N 1.084 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (* -1 (pow N 3))) (* -1.0 N)) 1.084 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* -1 (pow N 3))) in N 1.084 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.084 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 1.084 * [taylor]: Taking taylor expansion of -1 in N 1.084 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.084 * [taylor]: Taking taylor expansion of N in N 1.084 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 1.084 * [taylor]: Taking taylor expansion of -1.0 in N 1.084 * [taylor]: Taking taylor expansion of N in N 1.094 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.094 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 1.094 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.094 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.094 * [taylor]: Taking taylor expansion of N in N 1.094 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.095 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.095 * [taylor]: Taking taylor expansion of N in N 1.102 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 1.102 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.102 * [taylor]: Taking taylor expansion of N in N 1.102 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.102 * [taylor]: Taking taylor expansion of N in N 1.106 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 1.106 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.106 * [taylor]: Taking taylor expansion of N in N 1.106 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.106 * [taylor]: Taking taylor expansion of N in N 1.110 * * * * [progress]: [ 3 / 4 ] generating series at (2 3 2) 1.110 * [approximate]: Taking taylor expansion of (/ 1 (pow N 3)) in (N) around 0 1.110 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.110 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.110 * [taylor]: Taking taylor expansion of N in N 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.111 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.111 * [taylor]: Taking taylor expansion of N in N 1.121 * [approximate]: Taking taylor expansion of (pow N 3) in (N) around 0 1.121 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.122 * [taylor]: Taking taylor expansion of N in N 1.122 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.122 * [taylor]: Taking taylor expansion of N in N 1.130 * [approximate]: Taking taylor expansion of (* -1 (pow N 3)) in (N) around 0 1.130 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 1.130 * [taylor]: Taking taylor expansion of -1 in N 1.130 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.130 * [taylor]: Taking taylor expansion of N in N 1.130 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 1.130 * [taylor]: Taking taylor expansion of -1 in N 1.130 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.130 * [taylor]: Taking taylor expansion of N in N 1.141 * * * * [progress]: [ 4 / 4 ] generating series at (2 3) 1.142 * [approximate]: Taking taylor expansion of (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) in (N) around 0 1.142 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) in N 1.142 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (/ 1.0 N)) 1.142 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 1.142 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.142 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.142 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.142 * [taylor]: Taking taylor expansion of N in N 1.143 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 1.143 * [taylor]: Taking taylor expansion of 1.0 in N 1.143 * [taylor]: Taking taylor expansion of N in N 1.143 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) in N 1.143 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (/ 1.0 N)) 1.143 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 1.143 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.143 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.143 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.143 * [taylor]: Taking taylor expansion of N in N 1.144 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 1.144 * [taylor]: Taking taylor expansion of 1.0 in N 1.144 * [taylor]: Taking taylor expansion of N in N 1.175 * [approximate]: Taking taylor expansion of (fma 0.3333333333333333 (pow N 3) (* 1.0 N)) in (N) around 0 1.175 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (pow N 3) (* 1.0 N)) in N 1.176 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (pow N 3)) (* 1.0 N)) 1.176 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.176 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.176 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.176 * [taylor]: Taking taylor expansion of N in N 1.176 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.176 * [taylor]: Taking taylor expansion of 1.0 in N 1.176 * [taylor]: Taking taylor expansion of N in N 1.176 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (pow N 3) (* 1.0 N)) in N 1.176 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (pow N 3)) (* 1.0 N)) 1.176 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.176 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.176 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.176 * [taylor]: Taking taylor expansion of N in N 1.176 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.176 * [taylor]: Taking taylor expansion of 1.0 in N 1.176 * [taylor]: Taking taylor expansion of N in N 1.197 * [approximate]: Taking taylor expansion of (fma 0.3333333333333333 (* -1 (pow N 3)) (* -1.0 N)) in (N) around 0 1.197 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (* -1 (pow N 3)) (* -1.0 N)) in N 1.197 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (* -1 (pow N 3))) (* -1.0 N)) 1.197 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* -1 (pow N 3))) in N 1.197 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.197 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 1.197 * [taylor]: Taking taylor expansion of -1 in N 1.197 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.197 * [taylor]: Taking taylor expansion of N in N 1.197 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 1.197 * [taylor]: Taking taylor expansion of -1.0 in N 1.197 * [taylor]: Taking taylor expansion of N in N 1.197 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (* -1 (pow N 3)) (* -1.0 N)) in N 1.197 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (* -1 (pow N 3))) (* -1.0 N)) 1.197 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* -1 (pow N 3))) in N 1.197 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.197 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 1.197 * [taylor]: Taking taylor expansion of -1 in N 1.197 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.197 * [taylor]: Taking taylor expansion of N in N 1.197 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 1.197 * [taylor]: Taking taylor expansion of -1.0 in N 1.197 * [taylor]: Taking taylor expansion of N in N 1.223 * * * [progress]: simplifying candidates 1.226 * [simplify]: Simplifying using # : (expm1 (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (log1p (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (* (- 0.5) (/ 1 (pow N 2))) (log (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (exp (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (* (cbrt (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (cbrt (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))))) (cbrt (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 (- 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)))) (sqrt (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (sqrt (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (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 (/ 1 (pow N 3))) (log1p (/ 1 (pow N 3))) (- 3) (- (* (log N) 3)) (- (* (log N) 3)) (- (log (pow N 3))) (- 0 (* (log N) 3)) (- 0 (* (log N) 3)) (- 0 (log (pow N 3))) (- (log 1) (* (log N) 3)) (- (log 1) (* (log N) 3)) (- (log 1) (log (pow N 3))) (log (/ 1 (pow N 3))) (exp (/ 1 (pow N 3))) (/ (* (* 1 1) 1) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 1 (pow N 3))) (cbrt (/ 1 (pow N 3)))) (cbrt (/ 1 (pow N 3))) (* (* (/ 1 (pow N 3)) (/ 1 (pow N 3))) (/ 1 (pow N 3))) (sqrt (/ 1 (pow N 3))) (sqrt (/ 1 (pow N 3))) (- 1) (- (pow N 3)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 1) (pow (cbrt N) 3)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 3)) (/ (cbrt 1) (pow (sqrt N) 3)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 3)) (/ (cbrt 1) (pow N 3)) (/ (* (cbrt 1) (cbrt 1)) (* N N)) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 1) (cbrt (pow N 3))) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 1) (pow (cbrt N) 3)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 3)) (/ (cbrt 1) (pow (sqrt N) 3)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 3)) (/ (cbrt 1) (pow N 3)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) (* N N)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 3))) (/ (cbrt 1) (sqrt (pow N 3))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 3)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 3 2))) (/ (cbrt 1) (pow N (/ 3 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 1) (pow (cbrt N) 3)) (/ (sqrt 1) (pow (sqrt N) 3)) (/ (sqrt 1) (pow (sqrt N) 3)) (/ (sqrt 1) (pow 1 3)) (/ (sqrt 1) (pow N 3)) (/ (sqrt 1) (* N N)) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 1) (cbrt (pow N 3))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 1) (pow (cbrt N) 3)) (/ (sqrt 1) (pow (sqrt N) 3)) (/ (sqrt 1) (pow (sqrt N) 3)) (/ (sqrt 1) (pow 1 3)) (/ (sqrt 1) (pow N 3)) (/ (sqrt 1) N) (/ (sqrt 1) (* N N)) (/ (sqrt 1) (sqrt (pow N 3))) (/ (sqrt 1) (sqrt (pow N 3))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 3)) (/ (sqrt 1) (pow N (/ 3 2))) (/ (sqrt 1) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 1 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 1 (pow N 3)) (/ 1 (* N N)) (/ 1 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 1 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 1 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 1 (pow N 3)) (/ 1 N) (/ 1 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 1 (sqrt (pow N 3))) (/ 1 1) (/ 1 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 1 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 1 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 1 (* N N)) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 1 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 1 N) (/ 1 (sqrt (pow N 3))) (/ 1 1) (/ 1 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 1)) (/ (pow N 3) (sqrt 1)) (/ (pow N 3) 1) (expm1 (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (log1p (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (* 0.3333333333333333 (/ 1 (pow N 3))) (log (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (exp (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (* (cbrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (cbrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (cbrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (* (* (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (sqrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (sqrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (- (+ (* 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 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 3)) (/ 1 (pow N 3)) (/ 1 (pow N 3)) (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) 1.232 * * [simplify]: iteration 0 : 348 enodes (cost 793 ) 1.239 * * [simplify]: iteration 1 : 1771 enodes (cost 580 ) 1.270 * * [simplify]: iteration 2 : 5001 enodes (cost 557 ) 1.278 * [simplify]: Simplified to: (expm1 (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (log1p (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (/ (- 0.5) (pow N 2)) (log (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (exp (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (* (cbrt (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (cbrt (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))))) (cbrt (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (pow (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) 3) (sqrt (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (sqrt (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (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 N 6)) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (/ 1 (pow N 6)) (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 N) N) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ (/ 1 N) N) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ (/ 1 N) N) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ (/ 1 N) N) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ (/ 1 N) N) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ (/ 1 N) N) (/ 1 N) (/ 1 N) (/ (/ 1 N) N) (pow N 2) (/ 1 (pow (cbrt N) 4)) (/ 1 N) 1 (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (fabs N)) 1 (/ 1 N) (pow N 2) (pow N 2) (pow N 2) (expm1 (/ 1 (pow N 3))) (log1p (/ 1 (pow N 3))) (- 3) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (exp (/ 1 (pow N 3))) (/ 1 (pow (pow N 3) 3)) (* (cbrt (/ 1 (pow N 3))) (cbrt (/ 1 (pow N 3)))) (cbrt (/ 1 (pow N 3))) (/ 1 (pow (pow N 3) 3)) (sqrt (/ 1 (pow N 3))) (sqrt (/ 1 (pow N 3))) (- 1) (- (pow N 3)) (/ (/ 1 N) N) (/ 1 N) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) 1 (/ 1 (pow N 3)) (/ (/ 1 N) N) (/ 1 N) (/ (/ 1 N) N) (/ 1 N) (/ (/ 1 N) N) (/ 1 N) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) 1 (/ 1 (pow N 3)) (/ 1 N) (/ (/ 1 N) N) (/ 1 (sqrt (pow N 3))) (/ 1 (sqrt (pow N 3))) 1 (/ 1 (pow N 3)) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) (/ (/ 1 N) N) (/ 1 N) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) 1 (/ 1 (pow N 3)) (/ (/ 1 N) N) (/ 1 N) (/ (/ 1 N) N) (/ 1 N) (/ (/ 1 N) N) (/ 1 N) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) 1 (/ 1 (pow N 3)) (/ 1 N) (/ (/ 1 N) N) (/ 1 (sqrt (pow N 3))) (/ 1 (sqrt (pow N 3))) 1 (/ 1 (pow N 3)) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) (/ (/ 1 N) N) (/ 1 N) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) 1 (/ 1 (pow N 3)) (/ (/ 1 N) N) (/ 1 N) (/ (/ 1 N) N) (/ 1 N) (/ (/ 1 N) N) (/ 1 N) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) 1 (/ 1 (pow N 3)) (/ 1 N) (/ (/ 1 N) N) (/ 1 (sqrt (pow N 3))) (/ 1 (sqrt (pow N 3))) 1 (/ 1 (pow N 3)) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) (/ 1 (pow N 3)) (pow N 3) (/ (/ 1 N) N) (/ 1 (pow N 3/2)) 1 (/ (/ 1 N) N) (/ (/ 1 N) N) (/ (/ 1 N) N) (/ 1 (pow N 3/2)) 1 (/ 1 N) (/ 1 (sqrt (pow N 3))) 1 (/ 1 (pow N 3/2)) (pow N 3) (pow N 3) (pow N 3) (expm1 (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (log1p (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (/ 0.3333333333333333 (pow N 3)) (log (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (exp (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (* (cbrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (cbrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (cbrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3) (sqrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (sqrt (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 (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (/ (/ 1 N) N) (/ (/ 1 N) N) (/ (/ 1 N) N) (/ 1 (pow N 3)) (/ 1 (pow N 3)) (/ 1 (pow N 3)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 1.279 * * * [progress]: adding candidates to table 1.522 * * [progress]: iteration 4 / 4 1.522 * * * [progress]: picking best candidate 1.525 * * * * [pick]: Picked # 1.525 * * * [progress]: localizing error 1.542 * * * [progress]: generating rewritten candidates 1.542 * * * * [progress]: [ 1 / 4 ] rewriting at (2 3) 1.544 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.544 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.549 * * * * [progress]: [ 4 / 4 ] rewriting at (2 3 1 1 2) 1.560 * * * [progress]: generating series expansions 1.560 * * * * [progress]: [ 1 / 4 ] generating series at (2 3) 1.561 * [approximate]: Taking taylor expansion of (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) in (N) around 0 1.561 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) in N 1.561 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (/ 1.0 N)) 1.561 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 1.561 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.561 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.561 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.561 * [taylor]: Taking taylor expansion of N in N 1.562 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 1.562 * [taylor]: Taking taylor expansion of 1.0 in N 1.562 * [taylor]: Taking taylor expansion of N in N 1.562 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) in N 1.562 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (/ 1.0 N)) 1.562 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 1.562 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.562 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.562 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.562 * [taylor]: Taking taylor expansion of N in N 1.563 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 1.563 * [taylor]: Taking taylor expansion of 1.0 in N 1.563 * [taylor]: Taking taylor expansion of N in N 1.593 * [approximate]: Taking taylor expansion of (fma 0.3333333333333333 (pow N 3) (* 1.0 N)) in (N) around 0 1.593 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (pow N 3) (* 1.0 N)) in N 1.593 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (pow N 3)) (* 1.0 N)) 1.593 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.593 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.593 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.593 * [taylor]: Taking taylor expansion of N in N 1.593 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.593 * [taylor]: Taking taylor expansion of 1.0 in N 1.593 * [taylor]: Taking taylor expansion of N in N 1.593 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (pow N 3) (* 1.0 N)) in N 1.593 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (pow N 3)) (* 1.0 N)) 1.594 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.594 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.594 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.594 * [taylor]: Taking taylor expansion of N in N 1.594 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.594 * [taylor]: Taking taylor expansion of 1.0 in N 1.594 * [taylor]: Taking taylor expansion of N in N 1.615 * [approximate]: Taking taylor expansion of (fma 0.3333333333333333 (* -1 (pow N 3)) (* -1.0 N)) in (N) around 0 1.615 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (* -1 (pow N 3)) (* -1.0 N)) in N 1.615 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (* -1 (pow N 3))) (* -1.0 N)) 1.615 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* -1 (pow N 3))) in N 1.615 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.615 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 1.615 * [taylor]: Taking taylor expansion of -1 in N 1.615 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.615 * [taylor]: Taking taylor expansion of N in N 1.615 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 1.615 * [taylor]: Taking taylor expansion of -1.0 in N 1.615 * [taylor]: Taking taylor expansion of N in N 1.615 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (* -1 (pow N 3)) (* -1.0 N)) in N 1.615 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (* -1 (pow N 3))) (* -1.0 N)) 1.615 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* -1 (pow N 3))) in N 1.615 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.615 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 1.615 * [taylor]: Taking taylor expansion of -1 in N 1.615 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.616 * [taylor]: Taking taylor expansion of N in N 1.616 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 1.616 * [taylor]: Taking taylor expansion of -1.0 in N 1.616 * [taylor]: Taking taylor expansion of N in N 1.642 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.642 * [approximate]: Taking taylor expansion of (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) in (N) around 0 1.642 * [taylor]: Taking taylor expansion of (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) in N 1.642 * [taylor]: Rewrote expression to (+ (* (- 0.5) (/ 1 (pow N 2))) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) 1.642 * [taylor]: Taking taylor expansion of (* (- 0.5) (/ 1 (pow N 2))) in N 1.643 * [taylor]: Taking taylor expansion of (- 0.5) in N 1.643 * [taylor]: Taking taylor expansion of 0.5 in N 1.643 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.643 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.643 * [taylor]: Taking taylor expansion of N in N 1.643 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) in N 1.643 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (/ 1.0 N)) 1.643 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 1.643 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.643 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.643 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.643 * [taylor]: Taking taylor expansion of N in N 1.644 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 1.644 * [taylor]: Taking taylor expansion of 1.0 in N 1.644 * [taylor]: Taking taylor expansion of N in N 1.644 * [taylor]: Taking taylor expansion of (fma (- 0.5) (/ 1 (pow N 2)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) in N 1.645 * [taylor]: Rewrote expression to (+ (* (- 0.5) (/ 1 (pow N 2))) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) 1.645 * [taylor]: Taking taylor expansion of (* (- 0.5) (/ 1 (pow N 2))) in N 1.645 * [taylor]: Taking taylor expansion of (- 0.5) in N 1.645 * [taylor]: Taking taylor expansion of 0.5 in N 1.645 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.645 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.645 * [taylor]: Taking taylor expansion of N in N 1.645 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) in N 1.645 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (/ 1.0 N)) 1.645 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 1.645 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.645 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.645 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.645 * [taylor]: Taking taylor expansion of N in N 1.646 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 1.646 * [taylor]: Taking taylor expansion of 1.0 in N 1.646 * [taylor]: Taking taylor expansion of N in N 1.655 * [approximate]: Taking taylor expansion of (fma (- 0.5) (pow N 2) (fma 0.3333333333333333 (pow N 3) (* 1.0 N))) in (N) around 0 1.655 * [taylor]: Taking taylor expansion of (fma (- 0.5) (pow N 2) (fma 0.3333333333333333 (pow N 3) (* 1.0 N))) in N 1.655 * [taylor]: Rewrote expression to (+ (* (- 0.5) (pow N 2)) (fma 0.3333333333333333 (pow N 3) (* 1.0 N))) 1.655 * [taylor]: Taking taylor expansion of (* (- 0.5) (pow N 2)) in N 1.655 * [taylor]: Taking taylor expansion of (- 0.5) in N 1.655 * [taylor]: Taking taylor expansion of 0.5 in N 1.655 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.656 * [taylor]: Taking taylor expansion of N in N 1.656 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (pow N 3) (* 1.0 N)) in N 1.656 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (pow N 3)) (* 1.0 N)) 1.656 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.656 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.660 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.660 * [taylor]: Taking taylor expansion of N in N 1.661 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.661 * [taylor]: Taking taylor expansion of 1.0 in N 1.661 * [taylor]: Taking taylor expansion of N in N 1.661 * [taylor]: Taking taylor expansion of (fma (- 0.5) (pow N 2) (fma 0.3333333333333333 (pow N 3) (* 1.0 N))) in N 1.661 * [taylor]: Rewrote expression to (+ (* (- 0.5) (pow N 2)) (fma 0.3333333333333333 (pow N 3) (* 1.0 N))) 1.661 * [taylor]: Taking taylor expansion of (* (- 0.5) (pow N 2)) in N 1.661 * [taylor]: Taking taylor expansion of (- 0.5) in N 1.661 * [taylor]: Taking taylor expansion of 0.5 in N 1.661 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.661 * [taylor]: Taking taylor expansion of N in N 1.661 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (pow N 3) (* 1.0 N)) in N 1.661 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (pow N 3)) (* 1.0 N)) 1.661 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 1.661 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.661 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.661 * [taylor]: Taking taylor expansion of N in N 1.661 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.661 * [taylor]: Taking taylor expansion of 1.0 in N 1.661 * [taylor]: Taking taylor expansion of N in N 1.670 * [approximate]: Taking taylor expansion of (fma (- 0.5) (pow N 2) (fma 0.3333333333333333 (* -1 (pow N 3)) (* -1.0 N))) in (N) around 0 1.670 * [taylor]: Taking taylor expansion of (fma (- 0.5) (pow N 2) (fma 0.3333333333333333 (* -1 (pow N 3)) (* -1.0 N))) in N 1.670 * [taylor]: Rewrote expression to (+ (* (- 0.5) (pow N 2)) (fma 0.3333333333333333 (* -1 (pow N 3)) (* -1.0 N))) 1.670 * [taylor]: Taking taylor expansion of (* (- 0.5) (pow N 2)) in N 1.670 * [taylor]: Taking taylor expansion of (- 0.5) in N 1.670 * [taylor]: Taking taylor expansion of 0.5 in N 1.670 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.670 * [taylor]: Taking taylor expansion of N in N 1.670 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (* -1 (pow N 3)) (* -1.0 N)) in N 1.670 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (* -1 (pow N 3))) (* -1.0 N)) 1.670 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* -1 (pow N 3))) in N 1.670 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.670 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 1.670 * [taylor]: Taking taylor expansion of -1 in N 1.670 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.670 * [taylor]: Taking taylor expansion of N in N 1.670 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 1.670 * [taylor]: Taking taylor expansion of -1.0 in N 1.670 * [taylor]: Taking taylor expansion of N in N 1.670 * [taylor]: Taking taylor expansion of (fma (- 0.5) (pow N 2) (fma 0.3333333333333333 (* -1 (pow N 3)) (* -1.0 N))) in N 1.670 * [taylor]: Rewrote expression to (+ (* (- 0.5) (pow N 2)) (fma 0.3333333333333333 (* -1 (pow N 3)) (* -1.0 N))) 1.670 * [taylor]: Taking taylor expansion of (* (- 0.5) (pow N 2)) in N 1.670 * [taylor]: Taking taylor expansion of (- 0.5) in N 1.670 * [taylor]: Taking taylor expansion of 0.5 in N 1.670 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.670 * [taylor]: Taking taylor expansion of N in N 1.670 * [taylor]: Taking taylor expansion of (fma 0.3333333333333333 (* -1 (pow N 3)) (* -1.0 N)) in N 1.670 * [taylor]: Rewrote expression to (+ (* 0.3333333333333333 (* -1 (pow N 3))) (* -1.0 N)) 1.670 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (* -1 (pow N 3))) in N 1.670 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.670 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 1.670 * [taylor]: Taking taylor expansion of -1 in N 1.670 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.670 * [taylor]: Taking taylor expansion of N in N 1.671 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 1.671 * [taylor]: Taking taylor expansion of -1.0 in N 1.671 * [taylor]: Taking taylor expansion of N in N 1.680 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.681 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 1.681 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.681 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.681 * [taylor]: Taking taylor expansion of N in N 1.681 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.681 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.681 * [taylor]: Taking taylor expansion of N in N 1.688 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 1.688 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.688 * [taylor]: Taking taylor expansion of N in N 1.688 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.688 * [taylor]: Taking taylor expansion of N in N 1.692 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 1.692 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.692 * [taylor]: Taking taylor expansion of N in N 1.692 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.692 * [taylor]: Taking taylor expansion of N in N 1.696 * * * * [progress]: [ 4 / 4 ] generating series at (2 3 1 1 2) 1.696 * [approximate]: Taking taylor expansion of (/ 1 (pow N 3)) in (N) around 0 1.696 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.696 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.696 * [taylor]: Taking taylor expansion of N in N 1.697 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 1.697 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.697 * [taylor]: Taking taylor expansion of N in N 1.707 * [approximate]: Taking taylor expansion of (pow N 3) in (N) around 0 1.707 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.708 * [taylor]: Taking taylor expansion of N in N 1.708 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.708 * [taylor]: Taking taylor expansion of N in N 1.715 * [approximate]: Taking taylor expansion of (* -1 (pow N 3)) in (N) around 0 1.715 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 1.715 * [taylor]: Taking taylor expansion of -1 in N 1.715 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.715 * [taylor]: Taking taylor expansion of N in N 1.715 * [taylor]: Taking taylor expansion of (* -1 (pow N 3)) in N 1.715 * [taylor]: Taking taylor expansion of -1 in N 1.715 * [taylor]: Taking taylor expansion of (pow N 3) in N 1.715 * [taylor]: Taking taylor expansion of N in N 1.727 * * * [progress]: simplifying candidates 1.729 * [simplify]: Simplifying using # : (expm1 (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3))) (log1p (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3))) (log (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3))) (exp (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3))) (cbrt (pow (* (cbrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (cbrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) 3)) (cbrt (pow (cbrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) 3)) (cbrt (pow (sqrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) 3)) (cbrt (pow (sqrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) 3)) (cbrt (pow 1 3)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)) (cbrt (* (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (cbrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (cbrt (* (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)))) (cbrt (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3))) (cbrt (pow (* (cbrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (cbrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) 3)) (cbrt (pow (cbrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) 3)) (cbrt (pow (sqrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) 3)) (cbrt (pow (sqrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) 3)) (cbrt (pow 1 3)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)) (cbrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (cbrt (* (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (cbrt (sqrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3))) (cbrt (sqrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3))) (cbrt 1) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) (/ 3 2))) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) (/ 3 2))) (* (cbrt (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3))) (cbrt (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)))) (cbrt (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3))) (* (* (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3))) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3))) (sqrt (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3))) (sqrt (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3))) (expm1 (fma (- 0.5) (/ 1 (pow N 2)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)))) (log1p (fma (- 0.5) (/ 1 (pow N 2)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)))) (* (- 0.5) (/ 1 (pow N 2))) (log (fma (- 0.5) (/ 1 (pow N 2)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)))) (exp (fma (- 0.5) (/ 1 (pow N 2)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)))) (* (cbrt (fma (- 0.5) (/ 1 (pow N 2)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)))) (cbrt (fma (- 0.5) (/ 1 (pow N 2)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3))))) (cbrt (fma (- 0.5) (/ 1 (pow N 2)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)))) (* (* (fma (- 0.5) (/ 1 (pow N 2)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3))) (fma (- 0.5) (/ 1 (pow N 2)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)))) (fma (- 0.5) (/ 1 (pow N 2)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)))) (sqrt (fma (- 0.5) (/ 1 (pow N 2)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)))) (sqrt (fma (- 0.5) (/ 1 (pow N 2)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)))) (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 (/ 1 (pow N 3))) (log1p (/ 1 (pow N 3))) (- 3) (- (* (log N) 3)) (- (* (log N) 3)) (- (log (pow N 3))) (- 0 (* (log N) 3)) (- 0 (* (log N) 3)) (- 0 (log (pow N 3))) (- (log 1) (* (log N) 3)) (- (log 1) (* (log N) 3)) (- (log 1) (log (pow N 3))) (log (/ 1 (pow N 3))) (exp (/ 1 (pow N 3))) (/ (* (* 1 1) 1) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 1 (pow N 3))) (cbrt (/ 1 (pow N 3)))) (cbrt (/ 1 (pow N 3))) (* (* (/ 1 (pow N 3)) (/ 1 (pow N 3))) (/ 1 (pow N 3))) (sqrt (/ 1 (pow N 3))) (sqrt (/ 1 (pow N 3))) (- 1) (- (pow N 3)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 1) (pow (cbrt N) 3)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 3)) (/ (cbrt 1) (pow (sqrt N) 3)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 3)) (/ (cbrt 1) (pow N 3)) (/ (* (cbrt 1) (cbrt 1)) (* N N)) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 1) (cbrt (pow N 3))) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 1) (pow (cbrt N) 3)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 3)) (/ (cbrt 1) (pow (sqrt N) 3)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 3)) (/ (cbrt 1) (pow N 3)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) (* N N)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 3))) (/ (cbrt 1) (sqrt (pow N 3))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 3)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 3 2))) (/ (cbrt 1) (pow N (/ 3 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 1) (pow (cbrt N) 3)) (/ (sqrt 1) (pow (sqrt N) 3)) (/ (sqrt 1) (pow (sqrt N) 3)) (/ (sqrt 1) (pow 1 3)) (/ (sqrt 1) (pow N 3)) (/ (sqrt 1) (* N N)) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 1) (cbrt (pow N 3))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 1) (pow (cbrt N) 3)) (/ (sqrt 1) (pow (sqrt N) 3)) (/ (sqrt 1) (pow (sqrt N) 3)) (/ (sqrt 1) (pow 1 3)) (/ (sqrt 1) (pow N 3)) (/ (sqrt 1) N) (/ (sqrt 1) (* N N)) (/ (sqrt 1) (sqrt (pow N 3))) (/ (sqrt 1) (sqrt (pow N 3))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 3)) (/ (sqrt 1) (pow N (/ 3 2))) (/ (sqrt 1) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 1 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 1 (pow N 3)) (/ 1 (* N N)) (/ 1 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 1 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 1 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 1 (pow N 3)) (/ 1 N) (/ 1 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 1 (sqrt (pow N 3))) (/ 1 1) (/ 1 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 1 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 1 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 1 (* N N)) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 1 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 1 N) (/ 1 (sqrt (pow N 3))) (/ 1 1) (/ 1 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 1)) (/ (pow N 3) (sqrt 1)) (/ (pow N 3) 1) (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (- (+ (* 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 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 3)) (/ 1 (pow N 3)) (/ 1 (pow N 3)) 1.737 * * [simplify]: iteration 0 : 387 enodes (cost 861 ) 1.744 * * [simplify]: iteration 1 : 1954 enodes (cost 725 ) 1.780 * * [simplify]: iteration 2 : 5003 enodes (cost 709 ) 1.788 * [simplify]: Simplified to: (expm1 (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3))) (log1p (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3))) (log (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3))) (exp (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (cbrt (* (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (cbrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (sqrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (sqrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) 1 (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) (cbrt (* (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (cbrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (cbrt (* (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (cbrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (cbrt (* (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (cbrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (sqrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (sqrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) 1 (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) (cbrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (cbrt (* (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (cbrt (sqrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3))) (cbrt (sqrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3))) 1 (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3/2)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3/2)) (cbrt (* (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (cbrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3) (sqrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (sqrt (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (expm1 (fma (- 0.5) (/ 1 (pow N 2)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)))) (log1p (fma (- 0.5) (/ 1 (pow N 2)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)))) (/ (- 0.5) (pow N 2)) (log (fma (- 0.5) (/ 1 (pow N 2)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)))) (exp (fma (- 0.5) (/ 1 (* N N)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)))) (* (cbrt (fma (- 0.5) (/ 1 (pow N 2)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)))) (cbrt (fma (- 0.5) (/ 1 (pow N 2)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3))))) (cbrt (fma (- 0.5) (/ 1 (pow N 2)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)))) (pow (fma (- 0.5) (/ 1 (* N N)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) 3) (sqrt (fma (- 0.5) (/ 1 (pow N 2)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)))) (sqrt (fma (- 0.5) (/ 1 (pow N 2)) (cbrt (pow (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) 3)))) (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 N 6)) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (/ 1 (pow N 6)) (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 (* N N)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (* N N)) (/ 1 N) (/ 1 N) (/ 1 (* N N)) (pow N 2) (/ 1 (pow (cbrt N) 4)) (/ 1 N) 1 (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (fabs N)) 1 (/ 1 N) (pow N 2) (pow N 2) (pow N 2) (expm1 (/ 1 (pow N 3))) (log1p (/ 1 (pow N 3))) (- 3) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (log (/ 1 (pow N 3))) (exp (/ 1 (pow N 3))) (/ 1 (pow (pow N 3) 3)) (* (cbrt (/ 1 (pow N 3))) (cbrt (/ 1 (pow N 3)))) (cbrt (/ 1 (pow N 3))) (/ 1 (pow (pow N 3) 3)) (sqrt (/ 1 (pow N 3))) (sqrt (/ 1 (pow N 3))) (- 1) (- (pow N 3)) (/ 1 (* N N)) (/ 1 N) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) 1 (/ 1 (pow N 3)) (/ 1 (* N N)) (/ 1 N) (/ 1 (* N N)) (/ 1 N) (/ 1 (* N N)) (/ 1 N) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) 1 (/ 1 (pow N 3)) (/ 1 N) (/ 1 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 1 (sqrt (pow N 3))) 1 (/ 1 (pow N 3)) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) (/ 1 (* N N)) (/ 1 N) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) 1 (/ 1 (pow N 3)) (/ 1 (* N N)) (/ 1 N) (/ 1 (* N N)) (/ 1 N) (/ 1 (* N N)) (/ 1 N) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) 1 (/ 1 (pow N 3)) (/ 1 N) (/ 1 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 1 (sqrt (pow N 3))) 1 (/ 1 (pow N 3)) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) (/ 1 (* N N)) (/ 1 N) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) 1 (/ 1 (pow N 3)) (/ 1 (* N N)) (/ 1 N) (/ 1 (* N N)) (/ 1 N) (/ 1 (* N N)) (/ 1 N) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) 1 (/ 1 (pow N 3)) (/ 1 N) (/ 1 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 1 (sqrt (pow N 3))) 1 (/ 1 (pow N 3)) (/ 1 (pow N 3/2)) (/ 1 (pow N 3/2)) (/ 1 (pow N 3)) (pow N 3) (/ 1 (* N N)) (/ 1 (pow N 3/2)) 1 (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (pow N 3/2)) 1 (/ 1 N) (/ 1 (sqrt (pow N 3))) 1 (/ 1 (pow N 3/2)) (pow N 3) (pow N 3) (pow N 3) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N)) (fma (- 0.5) (/ 1 (* N N)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (fma (- 0.5) (/ 1 (* N N)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (fma (- 0.5) (/ 1 (* N N)) (fma 0.3333333333333333 (/ 1 (pow N 3)) (/ 1.0 N))) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (* N N)) (/ 1 (pow N 3)) (/ 1 (pow N 3)) (/ 1 (pow N 3)) 1.790 * * * [progress]: adding candidates to table 2.087 * [progress]: [Phase 3 of 3] Extracting. 2.087 * * [regime]: Finding splitpoints for: (# # #) 2.087 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.087 * * * * [regimes]: Trying to branch on N from (# # #) 2.110 * * * [regime]: Found split indices: #