13.080 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.034 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.035 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.037 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.037 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.048 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.050 * * * [progress]: generating series expansions 0.050 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.050 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.050 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.050 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.050 * [taylor]: Taking taylor expansion of (atan N) in N 0.050 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.050 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.050 * [taylor]: Taking taylor expansion of (atan N) in N 0.054 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.054 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.054 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.054 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.054 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.054 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.054 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.057 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.057 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.057 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.057 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.057 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.057 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.057 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.060 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.060 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.060 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.061 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.061 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.061 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.061 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.061 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.061 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.061 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.061 * * * [progress]: simplifying candidates 0.062 * [simplify]: Simplifying using # : (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (fma 1 (atan (+ N 1.0)) (- (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N)))))) (fma (- (cbrt (atan N))) (* (cbrt (atan N)) (cbrt (atan N))) (* (cbrt (atan N)) (* (cbrt (atan N)) (cbrt (atan N))))) (fma 1 (atan (+ N 1.0)) (- (* (sqrt (atan N)) (sqrt (atan N))))) (fma (- (sqrt (atan N))) (sqrt (atan N)) (* (sqrt (atan N)) (sqrt (atan N)))) (fma 1 (atan (+ N 1.0)) (- (* (atan N) 1))) (fma (- (atan N)) 1 (* (atan N) 1)) (expm1 (- (atan (+ N 1.0)) (atan N))) (log1p (- (atan (+ N 1.0)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (expm1 (atan (+ N 1.0))) (log1p (atan (+ N 1.0))) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.066 * * [simplify]: iteration 0 : 129 enodes (cost 365 ) 0.069 * * [simplify]: iteration 1 : 345 enodes (cost 264 ) 0.077 * * [simplify]: iteration 2 : 1480 enodes (cost 254 ) 0.109 * * [simplify]: iteration 3 : 5001 enodes (cost 198 ) 0.111 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (- (atan (+ N 1.0)) (atan N)) 0 (expm1 (- (atan (+ N 1.0)) (atan N))) (log1p (- (atan (+ N 1.0)) (atan N))) (- (atan N)) (- (atan N)) (- (atan N)) 1.0 (fma N (+ N 1.0) 1) (exp (- (atan (+ N 1.0)) (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (pow (- (atan (+ N 1.0)) (atan N)) 3) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (fma (atan (+ N 1.0)) (+ (atan (+ N 1.0)) (atan N)) (* (atan N) (atan N))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (expm1 (atan (+ N 1.0))) (log1p (atan (+ N 1.0))) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (pow (atan (+ N 1.0)) 3) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.111 * * * [progress]: adding candidates to table 0.179 * * [progress]: iteration 2 / 4 0.179 * * * [progress]: picking best candidate 0.180 * * * * [pick]: Picked # 0.180 * * * [progress]: localizing error 0.186 * * * [progress]: generating rewritten candidates 0.186 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.186 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.187 * * * [progress]: generating series expansions 0.187 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.187 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 0.187 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.187 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.187 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 0.187 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.187 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.188 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 0.188 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.188 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.188 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.188 * [approximate]: Taking taylor expansion of (fma N (+ N 1.0) 1) in (N) around 0 0.188 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.188 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.188 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.188 * [taylor]: Taking taylor expansion of N in N 0.189 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [taylor]: Taking taylor expansion of 1.0 in N 0.189 * [taylor]: Taking taylor expansion of 1 in N 0.189 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.189 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.189 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [taylor]: Taking taylor expansion of 1.0 in N 0.189 * [taylor]: Taking taylor expansion of 1 in N 0.192 * [approximate]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in (N) around 0 0.192 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.193 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.193 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.193 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.193 * [taylor]: Taking taylor expansion of N in N 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.196 * [taylor]: Taking taylor expansion of N in N 0.197 * [taylor]: Taking taylor expansion of 1.0 in N 0.197 * [taylor]: Taking taylor expansion of 1 in N 0.197 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.197 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.197 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.197 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.197 * [taylor]: Taking taylor expansion of N in N 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.197 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.197 * [taylor]: Taking taylor expansion of N in N 0.197 * [taylor]: Taking taylor expansion of 1.0 in N 0.197 * [taylor]: Taking taylor expansion of 1 in N 0.203 * [approximate]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in (N) around 0 0.203 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.203 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.203 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.203 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.203 * [taylor]: Taking taylor expansion of -1 in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.203 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.203 * [taylor]: Taking taylor expansion of 1.0 in N 0.203 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.203 * [taylor]: Taking taylor expansion of 1 in N 0.203 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.204 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.204 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.204 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.204 * [taylor]: Taking taylor expansion of -1 in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.204 * [taylor]: Taking taylor expansion of 1.0 in N 0.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [taylor]: Taking taylor expansion of 1 in N 0.211 * * * [progress]: simplifying candidates 0.211 * [simplify]: Simplifying using # : (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) (log (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (expm1 (fma N (+ N 1.0) 1)) (log1p (fma N (+ N 1.0) 1)) (* N (+ N 1.0)) (log (fma N (+ N 1.0) 1)) (exp (fma N (+ N 1.0) 1)) (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1)) (* (* (fma N (+ N 1.0) 1) (fma N (+ N 1.0) 1)) (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) 0.214 * * [simplify]: iteration 0 : 47 enodes (cost 101 ) 0.216 * * [simplify]: iteration 1 : 104 enodes (cost 89 ) 0.219 * * [simplify]: iteration 2 : 513 enodes (cost 89 ) 0.233 * * [simplify]: iteration 3 : 4531 enodes (cost 89 ) 0.342 * * [simplify]: iteration 4 : 5001 enodes (cost 89 ) 0.343 * [simplify]: Simplified to: (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) (log (atan2 1.0 (fma N (+ N 1.0) 1))) (exp (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (expm1 (fma N (+ N 1.0) 1)) (log1p (fma N (+ N 1.0) 1)) (* N (+ N 1.0)) (log (fma N (+ N 1.0) 1)) (exp (fma N (+ N 1.0) 1)) (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1)) (pow (fma N (+ N 1.0) 1) 3) (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (fma N (+ N 1.0) 1) (fma N (+ N 1.0) 1) (fma N (+ N 1.0) 1) 0.343 * * * [progress]: adding candidates to table 0.388 * * [progress]: iteration 3 / 4 0.388 * * * [progress]: picking best candidate 0.395 * * * * [pick]: Picked # 0.396 * * * [progress]: localizing error 0.404 * * * [progress]: generating rewritten candidates 0.404 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.405 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.405 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.406 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.407 * * * [progress]: generating series expansions 0.407 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.407 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in (N) around 0 0.407 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.407 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 0.407 * [taylor]: Taking taylor expansion of 1/3 in N 0.407 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 0.407 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.407 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.407 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.407 * [taylor]: Taking taylor expansion of N in N 0.407 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.407 * [taylor]: Taking taylor expansion of N in N 0.407 * [taylor]: Taking taylor expansion of 1.0 in N 0.407 * [taylor]: Taking taylor expansion of 1 in N 0.414 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.414 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.414 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 0.414 * [taylor]: Taking taylor expansion of 1/3 in N 0.414 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 0.414 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.414 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.414 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.414 * [taylor]: Taking taylor expansion of N in N 0.414 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.414 * [taylor]: Taking taylor expansion of N in N 0.414 * [taylor]: Taking taylor expansion of 1.0 in N 0.414 * [taylor]: Taking taylor expansion of 1 in N 0.434 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in (N) around 0 0.434 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 0.434 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.434 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.434 * [taylor]: Taking taylor expansion of 1/3 in N 0.434 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.434 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.435 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.435 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.435 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.435 * [taylor]: Taking taylor expansion of N in N 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.435 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.435 * [taylor]: Taking taylor expansion of N in N 0.435 * [taylor]: Taking taylor expansion of 1.0 in N 0.435 * [taylor]: Taking taylor expansion of 1 in N 0.436 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 0.436 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.437 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.437 * [taylor]: Taking taylor expansion of 1/3 in N 0.437 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.437 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.437 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.437 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.437 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.437 * [taylor]: Taking taylor expansion of N in N 0.437 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.437 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.437 * [taylor]: Taking taylor expansion of N in N 0.437 * [taylor]: Taking taylor expansion of 1.0 in N 0.437 * [taylor]: Taking taylor expansion of 1 in N 0.462 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in (N) around 0 0.462 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 0.462 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.462 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.462 * [taylor]: Taking taylor expansion of 1/3 in N 0.462 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.462 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.462 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.462 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.462 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.462 * [taylor]: Taking taylor expansion of -1 in N 0.462 * [taylor]: Taking taylor expansion of N in N 0.463 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.463 * [taylor]: Taking taylor expansion of 1.0 in N 0.463 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.463 * [taylor]: Taking taylor expansion of N in N 0.463 * [taylor]: Taking taylor expansion of 1 in N 0.464 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 0.464 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.464 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.464 * [taylor]: Taking taylor expansion of 1/3 in N 0.464 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.464 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.465 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.465 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.465 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.465 * [taylor]: Taking taylor expansion of -1 in N 0.465 * [taylor]: Taking taylor expansion of N in N 0.465 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.465 * [taylor]: Taking taylor expansion of 1.0 in N 0.465 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.465 * [taylor]: Taking taylor expansion of N in N 0.465 * [taylor]: Taking taylor expansion of 1 in N 0.489 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.489 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in (N) around 0 0.489 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.489 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.489 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 0.489 * [taylor]: Taking taylor expansion of 1/3 in N 0.489 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 0.489 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.489 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.489 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.489 * [taylor]: Taking taylor expansion of N in N 0.489 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.489 * [taylor]: Taking taylor expansion of N in N 0.489 * [taylor]: Taking taylor expansion of 1.0 in N 0.489 * [taylor]: Taking taylor expansion of 1 in N 0.496 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.496 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.496 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 0.496 * [taylor]: Taking taylor expansion of 1/3 in N 0.496 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 0.496 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.496 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.496 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.496 * [taylor]: Taking taylor expansion of N in N 0.496 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.496 * [taylor]: Taking taylor expansion of N in N 0.496 * [taylor]: Taking taylor expansion of 1.0 in N 0.496 * [taylor]: Taking taylor expansion of 1 in N 0.516 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in (N) around 0 0.517 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 0.517 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.517 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.517 * [taylor]: Taking taylor expansion of 1/3 in N 0.517 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.517 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.517 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.517 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 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 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 0.517 * [taylor]: Taking taylor expansion of 1 in N 0.519 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 0.519 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.519 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.519 * [taylor]: Taking taylor expansion of 1/3 in N 0.519 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.519 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.519 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.519 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.519 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.519 * [taylor]: Taking taylor expansion of N in N 0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.519 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.519 * [taylor]: Taking taylor expansion of N in N 0.519 * [taylor]: Taking taylor expansion of 1.0 in N 0.519 * [taylor]: Taking taylor expansion of 1 in N 0.546 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in (N) around 0 0.546 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 0.546 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.546 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.546 * [taylor]: Taking taylor expansion of 1/3 in N 0.546 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.546 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.546 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.546 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.546 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.546 * [taylor]: Taking taylor expansion of -1 in N 0.546 * [taylor]: Taking taylor expansion of N in N 0.547 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.547 * [taylor]: Taking taylor expansion of 1.0 in N 0.547 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.547 * [taylor]: Taking taylor expansion of N in N 0.547 * [taylor]: Taking taylor expansion of 1 in N 0.548 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 0.548 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.548 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.548 * [taylor]: Taking taylor expansion of 1/3 in N 0.548 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.548 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.549 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.549 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 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 0.549 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.549 * [taylor]: Taking taylor expansion of 1.0 in N 0.549 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.549 * [taylor]: Taking taylor expansion of N in N 0.549 * [taylor]: Taking taylor expansion of 1 in N 0.573 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 0.573 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in (N) around 0 0.573 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.573 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.573 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 0.573 * [taylor]: Taking taylor expansion of 1/3 in N 0.573 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 0.573 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.573 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.573 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.573 * [taylor]: Taking taylor expansion of N in N 0.573 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.573 * [taylor]: Taking taylor expansion of N in N 0.573 * [taylor]: Taking taylor expansion of 1.0 in N 0.573 * [taylor]: Taking taylor expansion of 1 in N 0.580 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.580 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.580 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 0.580 * [taylor]: Taking taylor expansion of 1/3 in N 0.580 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 0.580 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.580 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.580 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.580 * [taylor]: Taking taylor expansion of N in N 0.580 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.580 * [taylor]: Taking taylor expansion of N in N 0.580 * [taylor]: Taking taylor expansion of 1.0 in N 0.580 * [taylor]: Taking taylor expansion of 1 in N 0.600 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in (N) around 0 0.600 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 0.600 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.600 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.600 * [taylor]: Taking taylor expansion of 1/3 in N 0.600 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.600 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.600 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.600 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 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 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 0.601 * [taylor]: Taking taylor expansion of 1 in N 0.608 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 0.608 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.608 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.608 * [taylor]: Taking taylor expansion of 1/3 in N 0.608 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.608 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.608 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.608 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.608 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.608 * [taylor]: Taking taylor expansion of N in N 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.609 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.609 * [taylor]: Taking taylor expansion of N in N 0.609 * [taylor]: Taking taylor expansion of 1.0 in N 0.609 * [taylor]: Taking taylor expansion of 1 in N 0.629 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in (N) around 0 0.629 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 0.629 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.629 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.629 * [taylor]: Taking taylor expansion of 1/3 in N 0.629 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.629 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.629 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.629 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.629 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.629 * [taylor]: Taking taylor expansion of -1 in N 0.629 * [taylor]: Taking taylor expansion of N in N 0.630 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.630 * [taylor]: Taking taylor expansion of 1.0 in N 0.630 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.630 * [taylor]: Taking taylor expansion of N in N 0.630 * [taylor]: Taking taylor expansion of 1 in N 0.631 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 0.631 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.631 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.631 * [taylor]: Taking taylor expansion of 1/3 in N 0.631 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.632 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.632 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.632 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.632 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.632 * [taylor]: Taking taylor expansion of -1 in N 0.632 * [taylor]: Taking taylor expansion of N in N 0.632 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.632 * [taylor]: Taking taylor expansion of 1.0 in N 0.632 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.632 * [taylor]: Taking taylor expansion of N in N 0.632 * [taylor]: Taking taylor expansion of 1 in N 0.655 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.656 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 0.656 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.656 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.656 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 0.656 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.656 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.657 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 0.657 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.657 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.657 * * * [progress]: simplifying candidates 0.658 * [simplify]: Simplifying using # : (expm1 (cbrt (fma N (+ N 1.0) 1))) (log1p (cbrt (fma N (+ N 1.0) 1))) (log (cbrt (fma N (+ N 1.0) 1))) (exp (cbrt (fma N (+ N 1.0) 1))) (cbrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt 1) (cbrt (fma N (+ N 1.0) 1)) (* (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (expm1 (cbrt (fma N (+ N 1.0) 1))) (log1p (cbrt (fma N (+ N 1.0) 1))) (log (cbrt (fma N (+ N 1.0) 1))) (exp (cbrt (fma N (+ N 1.0) 1))) (cbrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt 1) (cbrt (fma N (+ N 1.0) 1)) (* (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (expm1 (cbrt (fma N (+ N 1.0) 1))) (log1p (cbrt (fma N (+ N 1.0) 1))) (log (cbrt (fma N (+ N 1.0) 1))) (exp (cbrt (fma N (+ N 1.0) 1))) (cbrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt 1) (cbrt (fma N (+ N 1.0) 1)) (* (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (expm1 (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (log1p (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (log (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (exp (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (* (cbrt (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (cbrt (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1)))))) (cbrt (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (* (* (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1)))) (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (sqrt (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (sqrt (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) 1)) (+ (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3)))) (+ (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3)))) (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) 1)) (+ (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3)))) (+ (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3)))) (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) 1)) (+ (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3)))) (+ (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3)))) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 0.662 * * [simplify]: iteration 0 : 102 enodes (cost 450 ) 0.665 * * [simplify]: iteration 1 : 231 enodes (cost 398 ) 0.669 * * [simplify]: iteration 2 : 651 enodes (cost 392 ) 0.685 * * [simplify]: iteration 3 : 2666 enodes (cost 383 ) 0.762 * * [simplify]: iteration 4 : 5001 enodes (cost 377 ) 0.765 * [simplify]: Simplified to: (expm1 (cbrt (fma N (+ N 1.0) 1))) (log1p (cbrt (fma N (+ N 1.0) 1))) (log (cbrt (fma N (+ N 1.0) 1))) (exp (cbrt (fma N (+ N 1.0) 1))) (cbrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) 1 (cbrt (fma N (+ N 1.0) 1)) (* (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (fma N (+ N 1.0) 1) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (expm1 (cbrt (fma N (+ N 1.0) 1))) (log1p (cbrt (fma N (+ N 1.0) 1))) (log (cbrt (fma N (+ N 1.0) 1))) (exp (cbrt (fma N (+ N 1.0) 1))) (cbrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) 1 (cbrt (fma N (+ N 1.0) 1)) (* (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (fma N (+ N 1.0) 1) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (expm1 (cbrt (fma N (+ N 1.0) 1))) (log1p (cbrt (fma N (+ N 1.0) 1))) (log (cbrt (fma N (+ N 1.0) 1))) (exp (cbrt (fma N (+ N 1.0) 1))) (cbrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) 1 (cbrt (fma N (+ N 1.0) 1)) (* (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (fma N (+ N 1.0) 1) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (expm1 (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (log1p (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (log (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (exp (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (* (cbrt (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (cbrt (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1)))))) (cbrt (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) (sqrt (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (sqrt (atan2 1.0 (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))))) (fma N (fma N 0.2222222222222222 0.3333333333333333) 1) (fma (pow (/ 1 (pow N 4)) 1/3) 0.2222222222222222 (fma (pow (/ 1 N) 1/3) 0.3333333333333333 (pow (/ 1 N) -2/3))) (fma (pow (/ 1 (pow N 4)) 1/3) 0.2222222222222222 (fma (pow (/ 1 N) 1/3) 0.3333333333333333 (pow (/ -1 N) -2/3))) (fma N (fma N 0.2222222222222222 0.3333333333333333) 1) (fma (pow (/ 1 (pow N 4)) 1/3) 0.2222222222222222 (fma (pow (/ 1 N) 1/3) 0.3333333333333333 (pow (/ 1 N) -2/3))) (fma (pow (/ 1 (pow N 4)) 1/3) 0.2222222222222222 (fma (pow (/ 1 N) 1/3) 0.3333333333333333 (pow (/ -1 N) -2/3))) (fma N (fma N 0.2222222222222222 0.3333333333333333) 1) (fma (pow (/ 1 (pow N 4)) 1/3) 0.2222222222222222 (fma (pow (/ 1 N) 1/3) 0.3333333333333333 (pow (/ 1 N) -2/3))) (fma (pow (/ 1 (pow N 4)) 1/3) 0.2222222222222222 (fma (pow (/ 1 N) 1/3) 0.3333333333333333 (pow (/ -1 N) -2/3))) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 0.765 * * * [progress]: adding candidates to table 0.922 * * [progress]: iteration 4 / 4 0.922 * * * [progress]: picking best candidate 0.935 * * * * [pick]: Picked # 0.936 * * * [progress]: localizing error 0.948 * * * [progress]: generating rewritten candidates 0.948 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.948 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.949 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 1) 0.950 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.951 * * * [progress]: generating series expansions 0.951 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.951 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in (N) around 0 0.951 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.951 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.951 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 0.951 * [taylor]: Taking taylor expansion of 1/3 in N 0.951 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 0.951 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.952 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.952 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.952 * [taylor]: Taking taylor expansion of N in N 0.952 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.952 * [taylor]: Taking taylor expansion of N in N 0.952 * [taylor]: Taking taylor expansion of 1.0 in N 0.952 * [taylor]: Taking taylor expansion of 1 in N 0.959 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.959 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.959 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 0.959 * [taylor]: Taking taylor expansion of 1/3 in N 0.959 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 0.959 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.959 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.959 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.959 * [taylor]: Taking taylor expansion of N in N 0.959 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.959 * [taylor]: Taking taylor expansion of N in N 0.959 * [taylor]: Taking taylor expansion of 1.0 in N 0.959 * [taylor]: Taking taylor expansion of 1 in N 0.979 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in (N) around 0 0.979 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 0.979 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.979 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.979 * [taylor]: Taking taylor expansion of 1/3 in N 0.979 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.979 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.979 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.980 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.980 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.980 * [taylor]: Taking taylor expansion of N in N 0.980 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.980 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.980 * [taylor]: Taking taylor expansion of N in N 0.980 * [taylor]: Taking taylor expansion of 1.0 in N 0.980 * [taylor]: Taking taylor expansion of 1 in N 0.981 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 0.981 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.981 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.981 * [taylor]: Taking taylor expansion of 1/3 in N 0.981 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.981 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.982 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.982 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.982 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.982 * [taylor]: Taking taylor expansion of N in N 0.982 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.982 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.982 * [taylor]: Taking taylor expansion of N in N 0.982 * [taylor]: Taking taylor expansion of 1.0 in N 0.982 * [taylor]: Taking taylor expansion of 1 in N 1.002 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in (N) around 0 1.002 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 1.002 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 1.002 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 1.002 * [taylor]: Taking taylor expansion of 1/3 in N 1.002 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.002 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.003 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.003 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.003 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.003 * [taylor]: Taking taylor expansion of -1 in N 1.003 * [taylor]: Taking taylor expansion of N in N 1.003 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.003 * [taylor]: Taking taylor expansion of 1.0 in N 1.003 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.003 * [taylor]: Taking taylor expansion of N in N 1.003 * [taylor]: Taking taylor expansion of 1 in N 1.005 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 1.005 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 1.005 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 1.005 * [taylor]: Taking taylor expansion of 1/3 in N 1.005 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.005 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.005 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.005 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.005 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.005 * [taylor]: Taking taylor expansion of -1 in N 1.005 * [taylor]: Taking taylor expansion of N in N 1.005 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.005 * [taylor]: Taking taylor expansion of 1.0 in N 1.005 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.005 * [taylor]: Taking taylor expansion of N in N 1.006 * [taylor]: Taking taylor expansion of 1 in N 1.034 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.034 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in (N) around 0 1.034 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 1.034 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 1.034 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 1.034 * [taylor]: Taking taylor expansion of 1/3 in N 1.034 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 1.034 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 1.034 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 1.034 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.034 * [taylor]: Taking taylor expansion of N in N 1.034 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.034 * [taylor]: Taking taylor expansion of N in N 1.034 * [taylor]: Taking taylor expansion of 1.0 in N 1.034 * [taylor]: Taking taylor expansion of 1 in N 1.041 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 1.041 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 1.041 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 1.041 * [taylor]: Taking taylor expansion of 1/3 in N 1.041 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 1.041 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 1.041 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 1.041 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.041 * [taylor]: Taking taylor expansion of N in N 1.041 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.041 * [taylor]: Taking taylor expansion of N in N 1.041 * [taylor]: Taking taylor expansion of 1.0 in N 1.041 * [taylor]: Taking taylor expansion of 1 in N 1.061 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in (N) around 0 1.061 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 1.061 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 1.061 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 1.061 * [taylor]: Taking taylor expansion of 1/3 in N 1.061 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 1.061 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 1.061 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 1.061 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 1.061 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.061 * [taylor]: Taking taylor expansion of N in N 1.061 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.061 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.061 * [taylor]: Taking taylor expansion of N in N 1.062 * [taylor]: Taking taylor expansion of 1.0 in N 1.062 * [taylor]: Taking taylor expansion of 1 in N 1.063 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 1.063 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 1.063 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 1.063 * [taylor]: Taking taylor expansion of 1/3 in N 1.063 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 1.063 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 1.063 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 1.063 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 1.063 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.063 * [taylor]: Taking taylor expansion of N in N 1.063 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.063 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.063 * [taylor]: Taking taylor expansion of N in N 1.064 * [taylor]: Taking taylor expansion of 1.0 in N 1.064 * [taylor]: Taking taylor expansion of 1 in N 1.084 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in (N) around 0 1.084 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 1.084 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 1.084 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 1.084 * [taylor]: Taking taylor expansion of 1/3 in N 1.084 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.084 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.084 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.084 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.084 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.084 * [taylor]: Taking taylor expansion of -1 in N 1.084 * [taylor]: Taking taylor expansion of N in N 1.085 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.085 * [taylor]: Taking taylor expansion of 1.0 in N 1.085 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.085 * [taylor]: Taking taylor expansion of N in N 1.085 * [taylor]: Taking taylor expansion of 1 in N 1.086 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 1.086 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 1.086 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 1.086 * [taylor]: Taking taylor expansion of 1/3 in N 1.086 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.086 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.087 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.087 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.087 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.087 * [taylor]: Taking taylor expansion of -1 in N 1.087 * [taylor]: Taking taylor expansion of N in N 1.087 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.087 * [taylor]: Taking taylor expansion of 1.0 in N 1.087 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.087 * [taylor]: Taking taylor expansion of N in N 1.087 * [taylor]: Taking taylor expansion of 1 in N 1.116 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 1) 1.116 * [approximate]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in (N) around 0 1.116 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in N 1.116 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 1.116 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 1.116 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.116 * [taylor]: Taking taylor expansion of N in N 1.116 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.116 * [taylor]: Taking taylor expansion of N in N 1.116 * [taylor]: Taking taylor expansion of 1.0 in N 1.116 * [taylor]: Taking taylor expansion of 1 in N 1.119 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in N 1.119 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 1.119 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 1.119 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.119 * [taylor]: Taking taylor expansion of N in N 1.119 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.119 * [taylor]: Taking taylor expansion of N in N 1.120 * [taylor]: Taking taylor expansion of 1.0 in N 1.120 * [taylor]: Taking taylor expansion of 1 in N 1.125 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 1.125 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 1.125 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 1.125 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 1.125 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 1.125 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.125 * [taylor]: Taking taylor expansion of N in N 1.126 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.126 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.126 * [taylor]: Taking taylor expansion of N in N 1.126 * [taylor]: Taking taylor expansion of 1.0 in N 1.126 * [taylor]: Taking taylor expansion of 1 in N 1.130 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 1.130 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 1.130 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 1.130 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 1.130 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.130 * [taylor]: Taking taylor expansion of N in N 1.130 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.130 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.130 * [taylor]: Taking taylor expansion of N in N 1.130 * [taylor]: Taking taylor expansion of 1.0 in N 1.130 * [taylor]: Taking taylor expansion of 1 in N 1.138 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 1.138 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.138 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.138 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.138 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.138 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.138 * [taylor]: Taking taylor expansion of -1 in N 1.138 * [taylor]: Taking taylor expansion of N in N 1.138 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.138 * [taylor]: Taking taylor expansion of 1.0 in N 1.138 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.138 * [taylor]: Taking taylor expansion of N in N 1.138 * [taylor]: Taking taylor expansion of 1 in N 1.143 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.143 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.143 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.143 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.143 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.143 * [taylor]: Taking taylor expansion of -1 in N 1.143 * [taylor]: Taking taylor expansion of N in N 1.144 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.144 * [taylor]: Taking taylor expansion of 1.0 in N 1.144 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.144 * [taylor]: Taking taylor expansion of N in N 1.144 * [taylor]: Taking taylor expansion of 1 in N 1.152 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 1.152 * [approximate]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in (N) around 0 1.152 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in N 1.152 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 1.153 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 1.153 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.153 * [taylor]: Taking taylor expansion of N in N 1.153 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.153 * [taylor]: Taking taylor expansion of N in N 1.153 * [taylor]: Taking taylor expansion of 1.0 in N 1.153 * [taylor]: Taking taylor expansion of 1 in N 1.156 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in N 1.156 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 1.156 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 1.156 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.156 * [taylor]: Taking taylor expansion of N in N 1.156 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.156 * [taylor]: Taking taylor expansion of N in N 1.156 * [taylor]: Taking taylor expansion of 1.0 in N 1.156 * [taylor]: Taking taylor expansion of 1 in N 1.162 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 1.162 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 1.162 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 1.162 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 1.162 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 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 1.162 * [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 1.162 * [taylor]: Taking taylor expansion of 1.0 in N 1.162 * [taylor]: Taking taylor expansion of 1 in N 1.166 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 1.166 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 1.166 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 1.166 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 1.166 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.166 * [taylor]: Taking taylor expansion of N in N 1.167 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.167 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.167 * [taylor]: Taking taylor expansion of N in N 1.167 * [taylor]: Taking taylor expansion of 1.0 in N 1.167 * [taylor]: Taking taylor expansion of 1 in N 1.180 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 1.180 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.180 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.180 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.180 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.180 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.180 * [taylor]: Taking taylor expansion of -1 in N 1.180 * [taylor]: Taking taylor expansion of N in N 1.180 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.180 * [taylor]: Taking taylor expansion of 1.0 in N 1.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.180 * [taylor]: Taking taylor expansion of N in N 1.181 * [taylor]: Taking taylor expansion of 1 in N 1.185 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.185 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.185 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.185 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.185 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.185 * [taylor]: Taking taylor expansion of -1 in N 1.185 * [taylor]: Taking taylor expansion of N in N 1.186 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.186 * [taylor]: Taking taylor expansion of 1.0 in N 1.186 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.186 * [taylor]: Taking taylor expansion of N in N 1.186 * [taylor]: Taking taylor expansion of 1 in N 1.194 * * * [progress]: simplifying candidates 1.195 * [simplify]: Simplifying using # : (expm1 (cbrt (fma N (+ N 1.0) 1))) (log1p (cbrt (fma N (+ N 1.0) 1))) (log (cbrt (fma N (+ N 1.0) 1))) (exp (cbrt (fma N (+ N 1.0) 1))) (cbrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt 1) (cbrt (fma N (+ N 1.0) 1)) (* (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (expm1 (cbrt (fma N (+ N 1.0) 1))) (log1p (cbrt (fma N (+ N 1.0) 1))) (log (cbrt (fma N (+ N 1.0) 1))) (exp (cbrt (fma N (+ N 1.0) 1))) (cbrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt 1) (cbrt (fma N (+ N 1.0) 1)) (* (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (* (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1))) (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (expm1 (sqrt (fma N (+ N 1.0) 1))) (log1p (sqrt (fma N (+ N 1.0) 1))) (log (sqrt (fma N (+ N 1.0) 1))) (exp (sqrt (fma N (+ N 1.0) 1))) (* (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1)))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (* (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))) (sqrt (fma N (+ N 1.0) 1))) (sqrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt 1) (sqrt (fma N (+ N 1.0) 1)) (/ 1 2) (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) (expm1 (sqrt (fma N (+ N 1.0) 1))) (log1p (sqrt (fma N (+ N 1.0) 1))) (log (sqrt (fma N (+ N 1.0) 1))) (exp (sqrt (fma N (+ N 1.0) 1))) (* (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1)))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (* (* (sqrt (fma N (+ N 1.0) 1)) (sqrt (fma N (+ N 1.0) 1))) (sqrt (fma N (+ N 1.0) 1))) (sqrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt 1) (sqrt (fma N (+ N 1.0) 1)) (/ 1 2) (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) 1)) (+ (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3)))) (+ (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3)))) (+ (* 0.2222222222222222 (pow N 2)) (+ (* 0.3333333333333333 N) 1)) (+ (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)) (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3)))) (+ (* 0.2222222222222222 (pow (/ 1 (pow N 4)) 1/3)) (+ (pow (/ -1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3)))) (+ (* 0.375 (pow N 2)) (+ (* 0.5 N) 1)) (+ (* 0.375 (/ 1 N)) (+ N 0.5)) (- (+ (* 0.375 (/ 1 N)) (+ N 0.5))) (+ (* 0.375 (pow N 2)) (+ (* 0.5 N) 1)) (+ (* 0.375 (/ 1 N)) (+ N 0.5)) (- (+ (* 0.375 (/ 1 N)) (+ N 0.5))) 1.199 * * [simplify]: iteration 0 : 133 enodes (cost 338 ) 1.202 * * [simplify]: iteration 1 : 324 enodes (cost 314 ) 1.208 * * [simplify]: iteration 2 : 1036 enodes (cost 310 ) 1.235 * * [simplify]: iteration 3 : 5002 enodes (cost 308 ) 1.237 * [simplify]: Simplified to: (expm1 (cbrt (fma N (+ N 1.0) 1))) (log1p (cbrt (fma N (+ N 1.0) 1))) (log (cbrt (fma N (+ N 1.0) 1))) (exp (cbrt (fma N (+ N 1.0) 1))) (cbrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt 1) (cbrt (fma N (+ N 1.0) 1)) (* (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (fma N (+ N 1.0) 1) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (expm1 (cbrt (fma N (+ N 1.0) 1))) (log1p (cbrt (fma N (+ N 1.0) 1))) (log (cbrt (fma N (+ N 1.0) 1))) (exp (cbrt (fma N (+ N 1.0) 1))) (cbrt (* (cbrt (fma N (+ N 1.0) 1)) (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt 1) (cbrt (fma N (+ N 1.0) 1)) (* (cbrt (cbrt (fma N (+ N 1.0) 1))) (cbrt (cbrt (fma N (+ N 1.0) 1)))) (cbrt (cbrt (fma N (+ N 1.0) 1))) (fma N (+ N 1.0) 1) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (expm1 (sqrt (fma N (+ N 1.0) 1))) (log1p (sqrt (fma N (+ N 1.0) 1))) (log (sqrt (fma N (+ N 1.0) 1))) (exp (sqrt (fma N (+ N 1.0) 1))) (* (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1)))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (pow (sqrt (fma N (+ N 1.0) 1)) 3) (fabs (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) 1 (sqrt (fma N (+ N 1.0) 1)) 1/2 (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) (expm1 (sqrt (fma N (+ N 1.0) 1))) (log1p (sqrt (fma N (+ N 1.0) 1))) (log (sqrt (fma N (+ N 1.0) 1))) (exp (sqrt (fma N (+ N 1.0) 1))) (* (cbrt (sqrt (fma N (+ N 1.0) 1))) (cbrt (sqrt (fma N (+ N 1.0) 1)))) (cbrt (sqrt (fma N (+ N 1.0) 1))) (pow (sqrt (fma N (+ N 1.0) 1)) 3) (fabs (cbrt (fma N (+ N 1.0) 1))) (sqrt (cbrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) 1 (sqrt (fma N (+ N 1.0) 1)) 1/2 (sqrt (sqrt (fma N (+ N 1.0) 1))) (sqrt (sqrt (fma N (+ N 1.0) 1))) (fma 0.2222222222222222 (pow N 2) (fma 0.3333333333333333 N 1)) (fma (pow (/ 1 (pow N 4)) 1/3) 0.2222222222222222 (fma (pow (/ 1 N) 1/3) 0.3333333333333333 (pow (/ 1 N) -2/3))) (fma (pow (/ 1 (pow N 4)) 1/3) 0.2222222222222222 (fma (pow (/ 1 N) 1/3) 0.3333333333333333 (pow (/ -1 N) -2/3))) (fma 0.2222222222222222 (pow N 2) (fma 0.3333333333333333 N 1)) (fma (pow (/ 1 (pow N 4)) 1/3) 0.2222222222222222 (fma (pow (/ 1 N) 1/3) 0.3333333333333333 (pow (/ 1 N) -2/3))) (fma (pow (/ 1 (pow N 4)) 1/3) 0.2222222222222222 (fma (pow (/ 1 N) 1/3) 0.3333333333333333 (pow (/ -1 N) -2/3))) (fma 0.375 (pow N 2) (fma 0.5 N 1)) (fma 0.375 (/ 1 N) (+ N 0.5)) (- (/ (- 0.375) N) (+ N 0.5)) (fma 0.375 (pow N 2) (fma 0.5 N 1)) (fma 0.375 (/ 1 N) (+ N 0.5)) (- (/ (- 0.375) N) (+ N 0.5)) 1.237 * * * [progress]: adding candidates to table 1.473 * [progress]: [Phase 3 of 3] Extracting. 1.473 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.475 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.475 * * * * [regimes]: Trying to branch on N from (# # # # # # # #) 1.506 * * * [regime]: Found split indices: #