5.044 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.050 * * * [progress]: [2/2] Setting up program. 0.052 * [progress]: [Phase 2 of 3] Improving. 0.052 * [simplify]: Simplifying using # : (- (log (+ N 1.0)) (log N)) 0.055 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.056 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.058 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.058 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.058 * * [progress]: iteration 1 / 4 0.058 * * * [progress]: picking best candidate 0.060 * * * * [pick]: Picked # 0.060 * * * [progress]: localizing error 0.067 * * * [progress]: generating rewritten candidates 0.067 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.078 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.083 * * * [progress]: generating series expansions 0.083 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.083 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.083 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.083 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.083 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.083 * [taylor]: Taking taylor expansion of N in N 0.083 * [taylor]: Taking taylor expansion of 1.0 in N 0.084 * [taylor]: Taking taylor expansion of (log N) in N 0.084 * [taylor]: Taking taylor expansion of N in N 0.085 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.085 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.085 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.085 * [taylor]: Taking taylor expansion of N in N 0.085 * [taylor]: Taking taylor expansion of 1.0 in N 0.085 * [taylor]: Taking taylor expansion of (log N) in N 0.085 * [taylor]: Taking taylor expansion of N in N 0.103 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.103 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.103 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.103 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.103 * [taylor]: Taking taylor expansion of N in N 0.103 * [taylor]: Taking taylor expansion of 1.0 in N 0.104 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.104 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.104 * [taylor]: Taking taylor expansion of N in N 0.104 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.104 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.104 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.104 * [taylor]: Taking taylor expansion of N in N 0.105 * [taylor]: Taking taylor expansion of 1.0 in N 0.105 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.105 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.105 * [taylor]: Taking taylor expansion of N in N 0.135 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.135 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.135 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.135 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.135 * [taylor]: Taking taylor expansion of 1.0 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)) in N 0.136 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.136 * [taylor]: Taking taylor expansion of -1 in N 0.136 * [taylor]: Taking taylor expansion of N in N 0.137 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.137 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.137 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.137 * [taylor]: Taking taylor expansion of 1.0 in N 0.137 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.138 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.138 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.138 * [taylor]: Taking taylor expansion of -1 in N 0.138 * [taylor]: Taking taylor expansion of N in N 0.174 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.174 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.174 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.174 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [taylor]: Taking taylor expansion of 1.0 in N 0.175 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.175 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.175 * [taylor]: Taking taylor expansion of N in N 0.175 * [taylor]: Taking taylor expansion of 1.0 in N 0.186 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.186 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.187 * [taylor]: Taking taylor expansion of N in N 0.187 * [taylor]: Taking taylor expansion of 1.0 in N 0.187 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.187 * [taylor]: Taking taylor expansion of N in N 0.188 * [taylor]: Taking taylor expansion of 1.0 in N 0.199 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.199 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.199 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.199 * [taylor]: Taking taylor expansion of 1.0 in N 0.199 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.199 * [taylor]: Taking taylor expansion of N in N 0.200 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.200 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.200 * [taylor]: Taking taylor expansion of 1.0 in N 0.200 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.200 * [taylor]: Taking taylor expansion of N in N 0.214 * * * [progress]: simplifying candidates 0.215 * [simplify]: Simplifying using # : (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.220 * * [simplify]: iteration 0 : 277 enodes (cost 598 ) 0.224 * * [simplify]: iteration 1 : 837 enodes (cost 444 ) 0.241 * * [simplify]: iteration 2 : 3748 enodes (cost 347 ) 0.337 * * [simplify]: iteration 3 : 5001 enodes (cost 343 ) 0.339 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (+ (pow (cbrt (log (+ N 1.0))) 3) (log (/ 1 N))) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (log (/ 1 N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (fma (log (+ N 1.0)) (+ (log (+ N 1.0)) (log N)) (* (log N) (log N))) (log (/ 1 N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (log (/ 1 N)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma 1.0 N (- (log 1.0) (* 1/2 (/ (pow N 2) (pow 1.0 2))))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma 1.0 (/ 1 N) (- (log -1) (fma 0.5 (/ 1 (pow N 2)) (log (/ -1 N))))) 0.340 * * * [progress]: adding candidates to table 0.455 * * [progress]: iteration 2 / 4 0.455 * * * [progress]: picking best candidate 0.458 * * * * [pick]: Picked # 0.458 * * * [progress]: localizing error 0.467 * * * [progress]: generating rewritten candidates 0.467 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.472 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.475 * * * [progress]: generating series expansions 0.475 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.475 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.475 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.475 * [taylor]: Taking taylor expansion of N in N 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.476 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.476 * [taylor]: Taking taylor expansion of N in N 0.484 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.484 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.484 * [taylor]: Taking taylor expansion of N in N 0.484 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.484 * [taylor]: Taking taylor expansion of N in N 0.488 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.488 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.488 * [taylor]: Taking taylor expansion of N in N 0.488 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.488 * [taylor]: Taking taylor expansion of N in N 0.495 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.495 * [approximate]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in (N) around 0 0.495 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 0.495 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 0.496 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.496 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.496 * [taylor]: Taking taylor expansion of N in N 0.496 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.496 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.496 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.496 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.496 * [taylor]: Taking taylor expansion of N in N 0.496 * [taylor]: Taking taylor expansion of 0.5 in N 0.497 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 0.497 * [taylor]: Taking taylor expansion of 1.0 in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.497 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 0.497 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 0.497 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.497 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.497 * [taylor]: Taking taylor expansion of N in N 0.498 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.498 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.498 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.498 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.498 * [taylor]: Taking taylor expansion of N in N 0.498 * [taylor]: Taking taylor expansion of 0.5 in N 0.498 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 0.498 * [taylor]: Taking taylor expansion of 1.0 in N 0.498 * [taylor]: Taking taylor expansion of N in N 0.507 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in (N) around 0 0.508 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 0.508 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 0.508 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.508 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.508 * [taylor]: Taking taylor expansion of N in N 0.508 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.508 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.508 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.508 * [taylor]: Taking taylor expansion of N in N 0.508 * [taylor]: Taking taylor expansion of 0.5 in N 0.508 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.508 * [taylor]: Taking taylor expansion of 1.0 in N 0.508 * [taylor]: Taking taylor expansion of N in N 0.508 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 0.508 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 0.508 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.508 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.508 * [taylor]: Taking taylor expansion of N in N 0.508 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.508 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.508 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.508 * [taylor]: Taking taylor expansion of N in N 0.508 * [taylor]: Taking taylor expansion of 0.5 in N 0.508 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.508 * [taylor]: Taking taylor expansion of 1.0 in N 0.508 * [taylor]: Taking taylor expansion of N in N 0.517 * [approximate]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in (N) around 0 0.517 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 0.517 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 0.517 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 0.517 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.517 * [taylor]: Taking taylor expansion of N in N 0.517 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.517 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.517 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.517 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.517 * [taylor]: Taking taylor expansion of N in N 0.517 * [taylor]: Taking taylor expansion of 0.5 in N 0.517 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.517 * [taylor]: Taking taylor expansion of -1.0 in N 0.517 * [taylor]: Taking taylor expansion of N in N 0.517 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 0.517 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 0.517 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 0.517 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.517 * [taylor]: Taking taylor expansion of N in N 0.517 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.517 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.517 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.517 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.517 * [taylor]: Taking taylor expansion of N in N 0.517 * [taylor]: Taking taylor expansion of 0.5 in N 0.517 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.518 * [taylor]: Taking taylor expansion of -1.0 in N 0.518 * [taylor]: Taking taylor expansion of N in N 0.528 * * * [progress]: simplifying candidates 0.529 * [simplify]: Simplifying using # : (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) (- 2) (- (* (log N) 2)) (- (* (log N) 2)) (- (log (pow N 2))) (- 0 (* (log N) 2)) (- 0 (* (log N) 2)) (- 0 (log (pow N 2))) (- (log 1) (* (log N) 2)) (- (log 1) (* (log N) 2)) (- (log 1) (log (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (- 1) (- (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 2)) (/ (cbrt 1) (pow (cbrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 2)) (/ (cbrt 1) (pow (sqrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (cbrt 1) (cbrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 2))) (/ (cbrt 1) (sqrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 2 2))) (/ (cbrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 2)) (/ (sqrt 1) (pow (cbrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (sqrt 1) (cbrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow N (/ 2 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (cbrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N 2)) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N 2)) (/ (pow N 2) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N (/ 2 2))) (/ (pow N 2) (cbrt 1)) (/ (pow N 2) (sqrt 1)) (/ (pow N 2) 1) (expm1 (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (log1p (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (log (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (exp (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (* (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.534 * * [simplify]: iteration 0 : 208 enodes (cost 384 ) 0.538 * * [simplify]: iteration 1 : 789 enodes (cost 315 ) 0.558 * * [simplify]: iteration 2 : 5001 enodes (cost 269 ) 0.560 * [simplify]: Simplified to: (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) (- 2) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ 1 (pow (pow N 2) 3)) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (/ 1 (pow (pow N 2) 3)) (fabs (/ 1 N)) (fabs (/ 1 N)) (- 1) (- (pow N 2)) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow N 2)) (pow N 2) (/ 1 (pow (cbrt N) 4)) (/ 1 N) 1 (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (fabs N)) 1 (/ 1 N) (pow N 2) (pow N 2) (pow N 2) (expm1 (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (log1p (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (/ (/ (- (/ 0.3333333333333333 N) 0.5) N) N) (log (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (exp (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (* (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (pow (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) 3) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)) 0.561 * * * [progress]: adding candidates to table 0.640 * * [progress]: iteration 3 / 4 0.640 * * * [progress]: picking best candidate 0.646 * * * * [pick]: Picked # 0.646 * * * [progress]: localizing error 0.658 * * * [progress]: generating rewritten candidates 0.658 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.659 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.664 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.669 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.678 * * * [progress]: generating series expansions 0.678 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.678 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N))) in (N) around 0 0.678 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N))) in N 0.678 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 0.678 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 0.678 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.678 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.678 * [taylor]: Taking taylor expansion of N in N 0.679 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.679 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.679 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.679 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.679 * [taylor]: Taking taylor expansion of N in N 0.680 * [taylor]: Taking taylor expansion of 0.5 in N 0.680 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 0.680 * [taylor]: Taking taylor expansion of 1.0 in N 0.680 * [taylor]: Taking taylor expansion of N in N 0.682 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N))) in N 0.682 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 0.682 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 0.682 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.682 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.683 * [taylor]: Taking taylor expansion of N in N 0.683 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.683 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.683 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.683 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.683 * [taylor]: Taking taylor expansion of N in N 0.683 * [taylor]: Taking taylor expansion of 0.5 in N 0.683 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 0.683 * [taylor]: Taking taylor expansion of 1.0 in N 0.683 * [taylor]: Taking taylor expansion of N in N 0.698 * [approximate]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N))) in (N) around 0 0.698 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N))) in N 0.698 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 0.698 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 0.698 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.698 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.698 * [taylor]: Taking taylor expansion of N in N 0.698 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.698 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.698 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.698 * [taylor]: Taking taylor expansion of N in N 0.698 * [taylor]: Taking taylor expansion of 0.5 in N 0.698 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.698 * [taylor]: Taking taylor expansion of 1.0 in N 0.698 * [taylor]: Taking taylor expansion of N in N 0.701 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N))) in N 0.701 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 0.701 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 0.701 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.701 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.701 * [taylor]: Taking taylor expansion of N in N 0.701 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.701 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.701 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.701 * [taylor]: Taking taylor expansion of N in N 0.701 * [taylor]: Taking taylor expansion of 0.5 in N 0.701 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.701 * [taylor]: Taking taylor expansion of 1.0 in N 0.701 * [taylor]: Taking taylor expansion of N in N 0.715 * [approximate]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N))) in (N) around 0 0.715 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N))) in N 0.715 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 0.715 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 0.715 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 0.715 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.715 * [taylor]: Taking taylor expansion of N in N 0.715 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.715 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.715 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.715 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.715 * [taylor]: Taking taylor expansion of N in N 0.715 * [taylor]: Taking taylor expansion of 0.5 in N 0.715 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.715 * [taylor]: Taking taylor expansion of -1.0 in N 0.715 * [taylor]: Taking taylor expansion of N in N 0.718 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N))) in N 0.718 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 0.718 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 0.718 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 0.718 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.718 * [taylor]: Taking taylor expansion of N in N 0.718 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.719 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.719 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.719 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.719 * [taylor]: Taking taylor expansion of N in N 0.719 * [taylor]: Taking taylor expansion of 0.5 in N 0.719 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.719 * [taylor]: Taking taylor expansion of -1.0 in N 0.719 * [taylor]: Taking taylor expansion of N in N 0.734 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.734 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N))) in (N) around 0 0.734 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N))) in N 0.734 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 0.734 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 0.734 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.734 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.734 * [taylor]: Taking taylor expansion of N in N 0.735 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.735 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.735 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.735 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.735 * [taylor]: Taking taylor expansion of N in N 0.735 * [taylor]: Taking taylor expansion of 0.5 in N 0.735 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 0.735 * [taylor]: Taking taylor expansion of 1.0 in N 0.735 * [taylor]: Taking taylor expansion of N in N 0.737 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N))) in N 0.737 * [taylor]: Taking taylor expansion of (fma (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5) (/ 1.0 N)) in N 0.737 * [taylor]: Rewrote expression to (+ (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) (/ 1.0 N)) 0.737 * [taylor]: Taking taylor expansion of (* (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 N)) 0.5)) in N 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.738 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.738 * [taylor]: Taking taylor expansion of N in N 0.738 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 0.738 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 0.738 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.738 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.738 * [taylor]: Taking taylor expansion of N in N 0.738 * [taylor]: Taking taylor expansion of 0.5 in N 0.738 * [taylor]: Taking taylor expansion of (/ 1.0 N) in N 0.738 * [taylor]: Taking taylor expansion of 1.0 in N 0.738 * [taylor]: Taking taylor expansion of N in N 0.757 * [approximate]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N))) in (N) around 0 0.757 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N))) in N 0.757 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 0.757 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 0.757 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.757 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.757 * [taylor]: Taking taylor expansion of N in N 0.757 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.757 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.757 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.757 * [taylor]: Taking taylor expansion of N in N 0.757 * [taylor]: Taking taylor expansion of 0.5 in N 0.757 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.757 * [taylor]: Taking taylor expansion of 1.0 in N 0.757 * [taylor]: Taking taylor expansion of N in N 0.760 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N))) in N 0.760 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (* 0.3333333333333333 N) 0.5) (* 1.0 N)) in N 0.760 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) (* 1.0 N)) 0.760 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 0.760 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.760 * [taylor]: Taking taylor expansion of N in N 0.760 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 0.760 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.760 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.760 * [taylor]: Taking taylor expansion of N in N 0.760 * [taylor]: Taking taylor expansion of 0.5 in N 0.760 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.760 * [taylor]: Taking taylor expansion of 1.0 in N 0.760 * [taylor]: Taking taylor expansion of N in N 0.774 * [approximate]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N))) in (N) around 0 0.774 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N))) in N 0.774 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 0.774 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 0.774 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 0.774 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.774 * [taylor]: Taking taylor expansion of N in N 0.774 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.774 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.774 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.774 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.774 * [taylor]: Taking taylor expansion of N in N 0.774 * [taylor]: Taking taylor expansion of 0.5 in N 0.774 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.774 * [taylor]: Taking taylor expansion of -1.0 in N 0.774 * [taylor]: Taking taylor expansion of N in N 0.777 * [taylor]: Taking taylor expansion of (sqrt (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N))) in N 0.777 * [taylor]: Taking taylor expansion of (fma (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5)) (* -1.0 N)) in N 0.777 * [taylor]: Rewrote expression to (+ (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) (* -1.0 N)) 0.777 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (+ (* 0.3333333333333333 N) 0.5))) in N 0.777 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.777 * [taylor]: Taking taylor expansion of N in N 0.777 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 N) 0.5)) in N 0.777 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 0.777 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 0.777 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 0.777 * [taylor]: Taking taylor expansion of N in N 0.777 * [taylor]: Taking taylor expansion of 0.5 in N 0.777 * [taylor]: Taking taylor expansion of (* -1.0 N) in N 0.778 * [taylor]: Taking taylor expansion of -1.0 in N 0.778 * [taylor]: Taking taylor expansion of N in N 0.792 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 0.792 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 0.792 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.792 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.792 * [taylor]: Taking taylor expansion of N in N 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.793 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.793 * [taylor]: Taking taylor expansion of N in N 0.800 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.800 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.800 * [taylor]: Taking taylor expansion of N in N 0.800 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.800 * [taylor]: Taking taylor expansion of N in N 0.804 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.804 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.804 * [taylor]: Taking taylor expansion of N in N 0.804 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.804 * [taylor]: Taking taylor expansion of N in N 0.808 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.808 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.808 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.808 * [taylor]: Taking taylor expansion of N in N 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.809 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.809 * [taylor]: Taking taylor expansion of N in N 0.816 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.816 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.816 * [taylor]: Taking taylor expansion of N in N 0.816 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.816 * [taylor]: Taking taylor expansion of N in N 0.820 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 0.820 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.820 * [taylor]: Taking taylor expansion of N in N 0.820 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.820 * [taylor]: Taking taylor expansion of N in N 0.824 * * * [progress]: simplifying candidates 0.829 * [simplify]: Simplifying using # : (expm1 (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (log1p (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (log (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (exp (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (* (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))))) (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (* (* (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (* (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))))) (sqrt (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt 1) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (/ 1 2) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (expm1 (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (log1p (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (log (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (exp (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (* (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))))) (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (* (* (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (* (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))))) (sqrt (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt 1) (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) (/ 1 2) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 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 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) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))))) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) 0.836 * * [simplify]: iteration 0 : 237 enodes (cost 852 ) 0.841 * * [simplify]: iteration 1 : 849 enodes (cost 730 ) 0.862 * * [simplify]: iteration 2 : 5002 enodes (cost 634 ) 0.867 * [simplify]: Simplified to: (expm1 (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (log1p (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (log (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (exp (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (* (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))))) (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (pow (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) 3) (fabs (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) 1 (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) 1/2 (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (expm1 (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (log1p (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (log (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (exp (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (* (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))))) (cbrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (pow (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) 3) (fabs (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (cbrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) 1 (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N))) 1/2 (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 1.0 N)))) (sqrt (sqrt (fma (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5) (/ 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 (pow N 2) 3)) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (/ 1 (pow (pow N 2) 3)) (fabs (/ 1 N)) (fabs (/ 1 N)) (- 1) (- (pow N 2)) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow N 2)) (pow N 2) (/ 1 (pow (cbrt N) 4)) (/ 1 N) 1 (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (fabs N)) 1 (/ 1 N) (pow N 2) (pow N 2) (pow N 2) (expm1 (/ 1 (pow N 2))) (log1p (/ 1 (pow N 2))) (- 2) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ 1 (pow (pow N 2) 3)) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (/ 1 (pow (pow N 2) 3)) (fabs (/ 1 N)) (fabs (/ 1 N)) (- 1) (- (pow N 2)) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow (cbrt N) 4)) (/ 1 (pow (cbrt N) 2)) (/ 1 N) (/ 1 N) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (fabs N)) (/ 1 (fabs N)) 1 (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (pow N 2)) (pow N 2) (/ 1 (pow (cbrt N) 4)) (/ 1 N) 1 (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (fabs N)) 1 (/ 1 N) (pow N 2) (pow N 2) (pow N 2) (+ (fma +nan.0 N (- +nan.0)) (/ (- +nan.0) N)) (fma +nan.0 (- (/ 1 (pow N 2)) (/ 1 N)) (/ (- +nan.0) (pow N 3))) (fma +nan.0 (- (/ 1 (pow N 2)) (/ 1 N)) (/ (- +nan.0) (pow N 3))) (+ (fma +nan.0 N (- +nan.0)) (/ (- +nan.0) N)) (fma +nan.0 (- (/ 1 (pow N 2)) (/ 1 N)) (/ (- +nan.0) (pow N 3))) (fma +nan.0 (- (/ 1 (pow N 2)) (/ 1 N)) (/ (- +nan.0) (pow N 3))) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) 0.868 * * * [progress]: adding candidates to table 1.120 * * [progress]: iteration 4 / 4 1.120 * * * [progress]: picking best candidate 1.126 * * * * [pick]: Picked # 1.127 * * * [progress]: localizing error 1.133 * * * [progress]: generating rewritten candidates 1.133 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.138 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.145 * * * [progress]: generating series expansions 1.145 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.146 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 1.146 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.146 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.146 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.146 * [taylor]: Taking taylor expansion of N in N 1.146 * [taylor]: Taking taylor expansion of 1.0 in N 1.146 * [taylor]: Taking taylor expansion of N in N 1.147 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 1.147 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.147 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.147 * [taylor]: Taking taylor expansion of N in N 1.147 * [taylor]: Taking taylor expansion of 1.0 in N 1.147 * [taylor]: Taking taylor expansion of N in N 1.160 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.160 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.160 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.160 * [taylor]: Taking taylor expansion of N in N 1.160 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.160 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.160 * [taylor]: Taking taylor expansion of N in N 1.160 * [taylor]: Taking taylor expansion of 1.0 in N 1.162 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 1.162 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.162 * [taylor]: Taking taylor expansion of N in N 1.162 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.162 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.162 * [taylor]: Taking taylor expansion of N in N 1.163 * [taylor]: Taking taylor expansion of 1.0 in N 1.188 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 1.188 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.188 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.188 * [taylor]: Taking taylor expansion of -1 in N 1.188 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.188 * [taylor]: Taking taylor expansion of N in N 1.188 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.188 * [taylor]: Taking taylor expansion of 1.0 in N 1.188 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.188 * [taylor]: Taking taylor expansion of N in N 1.191 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 1.191 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.191 * [taylor]: Taking taylor expansion of -1 in N 1.191 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.191 * [taylor]: Taking taylor expansion of N in N 1.191 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.191 * [taylor]: Taking taylor expansion of 1.0 in N 1.191 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.191 * [taylor]: Taking taylor expansion of N in N 1.227 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.227 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 1.227 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.227 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.227 * [taylor]: Taking taylor expansion of N in N 1.227 * [taylor]: Taking taylor expansion of 1.0 in N 1.227 * [taylor]: Taking taylor expansion of N in N 1.228 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.228 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.228 * [taylor]: Taking taylor expansion of N in N 1.228 * [taylor]: Taking taylor expansion of 1.0 in N 1.228 * [taylor]: Taking taylor expansion of N in N 1.234 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 1.234 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.234 * [taylor]: Taking taylor expansion of N in N 1.234 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.234 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.234 * [taylor]: Taking taylor expansion of N in N 1.235 * [taylor]: Taking taylor expansion of 1.0 in N 1.235 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.235 * [taylor]: Taking taylor expansion of N in N 1.235 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.235 * [taylor]: Taking taylor expansion of N in N 1.235 * [taylor]: Taking taylor expansion of 1.0 in N 1.248 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 1.248 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.248 * [taylor]: Taking taylor expansion of -1 in N 1.248 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.248 * [taylor]: Taking taylor expansion of N in N 1.248 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.248 * [taylor]: Taking taylor expansion of 1.0 in N 1.248 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.248 * [taylor]: Taking taylor expansion of N in N 1.249 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 1.249 * [taylor]: Taking taylor expansion of -1 in N 1.249 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 1.249 * [taylor]: Taking taylor expansion of N in N 1.249 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.249 * [taylor]: Taking taylor expansion of 1.0 in N 1.249 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.249 * [taylor]: Taking taylor expansion of N in N 1.272 * * * [progress]: simplifying candidates 1.273 * [simplify]: Simplifying using # : (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 1.278 * * [simplify]: iteration 0 : 243 enodes (cost 383 ) 1.282 * * [simplify]: iteration 1 : 808 enodes (cost 358 ) 1.297 * * [simplify]: iteration 2 : 3663 enodes (cost 347 ) 1.375 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 1.378 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (* 2 (log (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (* 2 (log (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (fma 2 (log (cbrt (+ N 1.0))) (log (/ 1 (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (* 2 (log (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (sqrt (+ N 1.0))) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ N 1.0) N) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (pow (log (/ (+ N 1.0) N)) 3) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (pow (/ (+ N 1.0) N) 3) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (+ N 1.0) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (fma N (* 1.0 (- 1.0 N)) (pow N 3)) (* N (- N 1.0)) (fma 1.0 N (- (log 1.0) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N)))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) (fma 1.0 (/ 1 N) 1) 1.378 * * * [progress]: adding candidates to table 1.476 * [progress]: [Phase 3 of 3] Extracting. 1.476 * * [regime]: Finding splitpoints for: (# # # #) 1.477 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.477 * * * * [regimes]: Trying to branch on N from (# # # #) 1.497 * * * [regime]: Found split indices: #