12.017 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.031 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.032 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.034 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.034 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.050 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.052 * * * [progress]: generating series expansions 0.052 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.052 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.052 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.052 * [taylor]: Taking taylor expansion of (atan N) in N 0.052 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.052 * [taylor]: Taking taylor expansion of (atan N) in N 0.056 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.056 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.056 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.056 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.056 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.059 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.060 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.060 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.060 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.060 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.060 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.060 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.064 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.064 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.064 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.064 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.064 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.064 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.064 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.064 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.064 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.065 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.065 * * * [progress]: simplifying candidates 0.065 * [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)) 0.070 * * [simplify]: iteration 0 : 129 enodes (cost 365 ) 0.073 * * [simplify]: iteration 1 : 345 enodes (cost 264 ) 0.081 * * [simplify]: iteration 2 : 1480 enodes (cost 254 ) 0.114 * * [simplify]: iteration 3 : 5001 enodes (cost 198 ) 0.115 * [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)) 0.115 * * * [progress]: adding candidates to table 0.183 * * [progress]: iteration 2 / 4 0.183 * * * [progress]: picking best candidate 0.184 * * * * [pick]: Picked # 0.184 * * * [progress]: localizing error 0.189 * * * [progress]: generating rewritten candidates 0.189 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.190 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.191 * * * [progress]: generating series expansions 0.191 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.191 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 0.191 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.191 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.192 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 0.192 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.192 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.192 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 0.192 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.192 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.193 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.193 * [approximate]: Taking taylor expansion of (fma N (+ N 1.0) 1) in (N) around 0 0.193 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.193 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.193 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.193 * [taylor]: Taking taylor expansion of N in N 0.193 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.193 * [taylor]: Taking taylor expansion of N in N 0.193 * [taylor]: Taking taylor expansion of 1.0 in N 0.193 * [taylor]: Taking taylor expansion of 1 in N 0.193 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.193 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.193 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.193 * [taylor]: Taking taylor expansion of N in N 0.193 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.193 * [taylor]: Taking taylor expansion of N in N 0.193 * [taylor]: Taking taylor expansion of 1.0 in N 0.193 * [taylor]: Taking taylor expansion of 1 in N 0.197 * [approximate]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in (N) around 0 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 0.198 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.198 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.198 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.198 * [taylor]: Taking taylor expansion of N in N 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.198 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.198 * [taylor]: Taking taylor expansion of N in N 0.198 * [taylor]: Taking taylor expansion of 1.0 in N 0.198 * [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 0.204 * [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 0.204 * [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) 0.205 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.205 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.205 * [taylor]: Taking taylor expansion of -1 in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.205 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.205 * [taylor]: Taking taylor expansion of 1.0 in N 0.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.205 * [taylor]: Taking taylor expansion of 1 in N 0.216 * * * [progress]: simplifying candidates 0.216 * [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)) 0.219 * * [simplify]: iteration 0 : 47 enodes (cost 101 ) 0.221 * * [simplify]: iteration 1 : 104 enodes (cost 89 ) 0.224 * * [simplify]: iteration 2 : 513 enodes (cost 89 ) 0.239 * * [simplify]: iteration 3 : 4531 enodes (cost 89 ) 0.358 * * [simplify]: iteration 4 : 5001 enodes (cost 89 ) 0.359 * [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) 0.359 * * * [progress]: adding candidates to table 0.409 * * [progress]: iteration 3 / 4 0.409 * * * [progress]: picking best candidate 0.416 * * * * [pick]: Picked # 0.416 * * * [progress]: localizing error 0.425 * * * [progress]: generating rewritten candidates 0.425 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.427 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.428 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.429 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.431 * * * [progress]: generating series expansions 0.431 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.431 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in (N) around 0 0.431 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.431 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.431 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 0.431 * [taylor]: Taking taylor expansion of 1/3 in N 0.431 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 0.431 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.431 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.431 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.431 * [taylor]: Taking taylor expansion of N in N 0.431 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.431 * [taylor]: Taking taylor expansion of N in N 0.431 * [taylor]: Taking taylor expansion of 1.0 in N 0.431 * [taylor]: Taking taylor expansion of 1 in N 0.439 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.439 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.439 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 0.439 * [taylor]: Taking taylor expansion of 1/3 in N 0.439 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 0.439 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.439 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.439 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.439 * [taylor]: Taking taylor expansion of N in N 0.439 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.439 * [taylor]: Taking taylor expansion of N in N 0.439 * [taylor]: Taking taylor expansion of 1.0 in N 0.439 * [taylor]: Taking taylor expansion of 1 in N 0.460 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in (N) around 0 0.460 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 0.460 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.460 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.460 * [taylor]: Taking taylor expansion of 1/3 in N 0.460 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.460 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.461 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.461 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.461 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.461 * [taylor]: Taking taylor expansion of N in N 0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.461 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.461 * [taylor]: Taking taylor expansion of N in N 0.461 * [taylor]: Taking taylor expansion of 1.0 in N 0.461 * [taylor]: Taking taylor expansion of 1 in N 0.463 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 0.463 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.463 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.463 * [taylor]: Taking taylor expansion of 1/3 in N 0.463 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.463 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.463 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.463 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 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 N) 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 1.0 in N 0.464 * [taylor]: Taking taylor expansion of 1 in N 0.492 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in (N) around 0 0.492 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 0.492 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.492 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.492 * [taylor]: Taking taylor expansion of 1/3 in N 0.492 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.492 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.492 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.492 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.492 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.492 * [taylor]: Taking taylor expansion of -1 in N 0.492 * [taylor]: Taking taylor expansion of N in N 0.492 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.493 * [taylor]: Taking taylor expansion of 1.0 in N 0.493 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.493 * [taylor]: Taking taylor expansion of N in N 0.493 * [taylor]: Taking taylor expansion of 1 in N 0.494 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 0.494 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.494 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.495 * [taylor]: Taking taylor expansion of 1/3 in N 0.495 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.495 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.495 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.495 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.495 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.495 * [taylor]: Taking taylor expansion of -1 in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.495 * [taylor]: Taking taylor expansion of 1.0 in N 0.495 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.495 * [taylor]: Taking taylor expansion of N in N 0.495 * [taylor]: Taking taylor expansion of 1 in N 0.520 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.520 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in (N) around 0 0.520 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.520 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.520 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 0.520 * [taylor]: Taking taylor expansion of 1/3 in N 0.520 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 0.520 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.521 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.521 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.521 * [taylor]: Taking taylor expansion of N in N 0.521 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.521 * [taylor]: Taking taylor expansion of N in N 0.521 * [taylor]: Taking taylor expansion of 1.0 in N 0.521 * [taylor]: Taking taylor expansion of 1 in N 0.528 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.528 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.528 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 0.528 * [taylor]: Taking taylor expansion of 1/3 in N 0.528 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 0.528 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.528 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.528 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.528 * [taylor]: Taking taylor expansion of N in N 0.528 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.528 * [taylor]: Taking taylor expansion of N in N 0.528 * [taylor]: Taking taylor expansion of 1.0 in N 0.528 * [taylor]: Taking taylor expansion of 1 in N 0.548 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in (N) around 0 0.549 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 0.549 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.549 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.549 * [taylor]: Taking taylor expansion of 1/3 in N 0.549 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.549 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.549 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.549 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 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 N) 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 1.0 in N 0.549 * [taylor]: Taking taylor expansion of 1 in N 0.551 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 0.551 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.551 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.551 * [taylor]: Taking taylor expansion of 1/3 in N 0.551 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.551 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.551 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.551 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.551 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.551 * [taylor]: Taking taylor expansion of N in N 0.551 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.551 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.551 * [taylor]: Taking taylor expansion of N in N 0.551 * [taylor]: Taking taylor expansion of 1.0 in N 0.551 * [taylor]: Taking taylor expansion of 1 in N 0.580 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in (N) around 0 0.580 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 0.580 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.580 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.580 * [taylor]: Taking taylor expansion of 1/3 in N 0.580 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.580 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.580 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.580 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.580 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.580 * [taylor]: Taking taylor expansion of -1 in N 0.580 * [taylor]: Taking taylor expansion of N in N 0.581 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.581 * [taylor]: Taking taylor expansion of 1.0 in N 0.581 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.581 * [taylor]: Taking taylor expansion of N in N 0.581 * [taylor]: Taking taylor expansion of 1 in N 0.582 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 0.583 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.583 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.583 * [taylor]: Taking taylor expansion of 1/3 in N 0.583 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.583 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.583 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.583 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.583 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.583 * [taylor]: Taking taylor expansion of -1 in N 0.583 * [taylor]: Taking taylor expansion of N in N 0.583 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.583 * [taylor]: Taking taylor expansion of 1.0 in N 0.583 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.583 * [taylor]: Taking taylor expansion of N in N 0.583 * [taylor]: Taking taylor expansion of 1 in N 0.608 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 0.608 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in (N) around 0 0.608 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.608 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.608 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ 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 N (+ N 1.0) 1)) in N 0.608 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.608 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.608 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.608 * [taylor]: Taking taylor expansion of N in N 0.608 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.608 * [taylor]: Taking taylor expansion of N in N 0.608 * [taylor]: Taking taylor expansion of 1.0 in N 0.608 * [taylor]: Taking taylor expansion of 1 in N 0.615 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.615 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.615 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 0.615 * [taylor]: Taking taylor expansion of 1/3 in N 0.615 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 0.615 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.615 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.615 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.616 * [taylor]: Taking taylor expansion of N in N 0.616 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.616 * [taylor]: Taking taylor expansion of N in N 0.616 * [taylor]: Taking taylor expansion of 1.0 in N 0.616 * [taylor]: Taking taylor expansion of 1 in N 0.636 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in (N) around 0 0.636 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 0.636 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.636 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.636 * [taylor]: Taking taylor expansion of 1/3 in N 0.636 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.636 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.636 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.636 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.636 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.636 * [taylor]: Taking taylor expansion of N in N 0.637 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.637 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.637 * [taylor]: Taking taylor expansion of N in N 0.637 * [taylor]: Taking taylor expansion of 1.0 in N 0.637 * [taylor]: Taking taylor expansion of 1 in N 0.638 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 0.638 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.638 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.638 * [taylor]: Taking taylor expansion of 1/3 in N 0.638 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.638 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.638 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.638 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.638 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.639 * [taylor]: Taking taylor expansion of N in N 0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.639 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.639 * [taylor]: Taking taylor expansion of N in N 0.639 * [taylor]: Taking taylor expansion of 1.0 in N 0.639 * [taylor]: Taking taylor expansion of 1 in N 0.669 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in (N) around 0 0.669 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 0.669 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.669 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.669 * [taylor]: Taking taylor expansion of 1/3 in N 0.669 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.670 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.670 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.670 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.670 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.670 * [taylor]: Taking taylor expansion of -1 in N 0.670 * [taylor]: Taking taylor expansion of N in N 0.670 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.670 * [taylor]: Taking taylor expansion of 1.0 in N 0.670 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.670 * [taylor]: Taking taylor expansion of N in N 0.671 * [taylor]: Taking taylor expansion of 1 in N 0.672 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 0.672 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.672 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.672 * [taylor]: Taking taylor expansion of 1/3 in N 0.672 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.672 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.672 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.672 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.672 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.672 * [taylor]: Taking taylor expansion of -1 in N 0.672 * [taylor]: Taking taylor expansion of N in N 0.673 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.673 * [taylor]: Taking taylor expansion of 1.0 in N 0.673 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.673 * [taylor]: Taking taylor expansion of N in N 0.673 * [taylor]: Taking taylor expansion of 1 in N 0.697 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.697 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 0.697 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.697 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.698 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 0.698 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.698 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.698 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 0.698 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.698 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.699 * * * [progress]: simplifying candidates 0.700 * [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)) 0.704 * * [simplify]: iteration 0 : 102 enodes (cost 450 ) 0.706 * * [simplify]: iteration 1 : 231 enodes (cost 398 ) 0.711 * * [simplify]: iteration 2 : 651 enodes (cost 392 ) 0.726 * * [simplify]: iteration 3 : 2666 enodes (cost 383 ) 0.810 * * [simplify]: iteration 4 : 5001 enodes (cost 377 ) 0.813 * [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)) 0.813 * * * [progress]: adding candidates to table 0.967 * * [progress]: iteration 4 / 4 0.967 * * * [progress]: picking best candidate 0.977 * * * * [pick]: Picked # 0.977 * * * [progress]: localizing error 0.993 * * * [progress]: generating rewritten candidates 0.993 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.994 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.995 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 1) 0.997 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) 0.999 * * * [progress]: generating series expansions 0.999 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.999 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in (N) around 0 0.999 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 0.999 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 0.999 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 0.999 * [taylor]: Taking taylor expansion of 1/3 in N 0.999 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 0.999 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.999 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.999 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.999 * [taylor]: Taking taylor expansion of N in N 1.000 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.000 * [taylor]: Taking taylor expansion of N in N 1.000 * [taylor]: Taking taylor expansion of 1.0 in N 1.000 * [taylor]: Taking taylor expansion of 1 in N 1.007 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 1.007 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 1.007 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 1.007 * [taylor]: Taking taylor expansion of 1/3 in N 1.007 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 1.007 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 1.007 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 1.007 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.007 * [taylor]: Taking taylor expansion of N in N 1.007 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.007 * [taylor]: Taking taylor expansion of N in N 1.007 * [taylor]: Taking taylor expansion of 1.0 in N 1.007 * [taylor]: Taking taylor expansion of 1 in N 1.027 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in (N) around 0 1.027 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 1.027 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 1.027 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 1.027 * [taylor]: Taking taylor expansion of 1/3 in N 1.027 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 1.027 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 1.027 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 1.027 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 1.027 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.027 * [taylor]: Taking taylor expansion of N in N 1.027 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.027 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.027 * [taylor]: Taking taylor expansion of N in N 1.028 * [taylor]: Taking taylor expansion of 1.0 in N 1.028 * [taylor]: Taking taylor expansion of 1 in N 1.029 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 1.029 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 1.029 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 1.029 * [taylor]: Taking taylor expansion of 1/3 in N 1.029 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 1.029 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 1.029 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 1.029 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 1.029 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.029 * [taylor]: Taking taylor expansion of N in N 1.029 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.029 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.029 * [taylor]: Taking taylor expansion of N in N 1.030 * [taylor]: Taking taylor expansion of 1.0 in N 1.030 * [taylor]: Taking taylor expansion of 1 in N 1.050 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in (N) around 0 1.050 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 1.050 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 1.050 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 1.050 * [taylor]: Taking taylor expansion of 1/3 in N 1.050 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.050 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.050 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.050 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.050 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.050 * [taylor]: Taking taylor expansion of -1 in N 1.050 * [taylor]: Taking taylor expansion of N in N 1.050 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.050 * [taylor]: Taking taylor expansion of 1.0 in N 1.050 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.050 * [taylor]: Taking taylor expansion of N in N 1.051 * [taylor]: Taking taylor expansion of 1 in N 1.052 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 1.052 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 1.052 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 1.052 * [taylor]: Taking taylor expansion of 1/3 in N 1.052 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.052 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.052 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.052 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.052 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.052 * [taylor]: Taking taylor expansion of -1 in N 1.052 * [taylor]: Taking taylor expansion of N in N 1.053 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.053 * [taylor]: Taking taylor expansion of 1.0 in N 1.053 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.053 * [taylor]: Taking taylor expansion of N in N 1.053 * [taylor]: Taking taylor expansion of 1 in N 1.082 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.082 * [approximate]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in (N) around 0 1.082 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 1.082 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 1.082 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 1.082 * [taylor]: Taking taylor expansion of 1/3 in N 1.082 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 1.082 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 1.082 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 1.082 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.082 * [taylor]: Taking taylor expansion of N in N 1.082 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.082 * [taylor]: Taking taylor expansion of N in N 1.082 * [taylor]: Taking taylor expansion of 1.0 in N 1.082 * [taylor]: Taking taylor expansion of 1 in N 1.089 * [taylor]: Taking taylor expansion of (pow (fma N (+ N 1.0) 1) 1/3) in N 1.089 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma N (+ N 1.0) 1)))) in N 1.089 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma N (+ N 1.0) 1))) in N 1.089 * [taylor]: Taking taylor expansion of 1/3 in N 1.089 * [taylor]: Taking taylor expansion of (log (fma N (+ N 1.0) 1)) in N 1.089 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 1.089 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 1.089 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.089 * [taylor]: Taking taylor expansion of N in N 1.089 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.089 * [taylor]: Taking taylor expansion of N in N 1.089 * [taylor]: Taking taylor expansion of 1.0 in N 1.089 * [taylor]: Taking taylor expansion of 1 in N 1.109 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in (N) around 0 1.109 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 1.109 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 1.109 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 1.109 * [taylor]: Taking taylor expansion of 1/3 in N 1.109 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 1.109 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 1.109 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 1.109 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 1.109 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.109 * [taylor]: Taking taylor expansion of N in N 1.109 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.109 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.109 * [taylor]: Taking taylor expansion of N in N 1.110 * [taylor]: Taking taylor expansion of 1.0 in N 1.110 * [taylor]: Taking taylor expansion of 1 in N 1.111 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) 1/3) in N 1.111 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 1.111 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 1.111 * [taylor]: Taking taylor expansion of 1/3 in N 1.111 * [taylor]: Taking taylor expansion of (log (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 1.111 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 1.111 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 1.111 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 1.111 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.111 * [taylor]: Taking taylor expansion of N in N 1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.111 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.111 * [taylor]: Taking taylor expansion of N in N 1.112 * [taylor]: Taking taylor expansion of 1.0 in N 1.112 * [taylor]: Taking taylor expansion of 1 in N 1.132 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in (N) around 0 1.132 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 1.132 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 1.132 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 1.132 * [taylor]: Taking taylor expansion of 1/3 in N 1.132 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.132 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.132 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.132 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.132 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.132 * [taylor]: Taking taylor expansion of -1 in N 1.132 * [taylor]: Taking taylor expansion of N in N 1.132 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.132 * [taylor]: Taking taylor expansion of 1.0 in N 1.132 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.132 * [taylor]: Taking taylor expansion of N in N 1.133 * [taylor]: Taking taylor expansion of 1 in N 1.134 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) 1/3) in N 1.134 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 1.134 * [taylor]: Taking taylor expansion of (* 1/3 (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 1.134 * [taylor]: Taking taylor expansion of 1/3 in N 1.134 * [taylor]: Taking taylor expansion of (log (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.134 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.134 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.134 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.134 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.134 * [taylor]: Taking taylor expansion of -1 in N 1.134 * [taylor]: Taking taylor expansion of N in N 1.134 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.135 * [taylor]: Taking taylor expansion of 1.0 in N 1.135 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.135 * [taylor]: Taking taylor expansion of N in N 1.135 * [taylor]: Taking taylor expansion of 1 in N 1.164 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 1) 1.164 * [approximate]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in (N) around 0 1.164 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in N 1.164 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 1.164 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 1.164 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.164 * [taylor]: Taking taylor expansion of N in N 1.164 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.164 * [taylor]: Taking taylor expansion of N in N 1.165 * [taylor]: Taking taylor expansion of 1.0 in N 1.165 * [taylor]: Taking taylor expansion of 1 in N 1.167 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in N 1.167 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 1.168 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 1.168 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.168 * [taylor]: Taking taylor expansion of N in N 1.168 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.168 * [taylor]: Taking taylor expansion of N in N 1.168 * [taylor]: Taking taylor expansion of 1.0 in N 1.168 * [taylor]: Taking taylor expansion of 1 in N 1.173 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 1.173 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 1.173 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 1.174 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 1.174 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 1.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.174 * [taylor]: Taking taylor expansion of N in N 1.174 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.174 * [taylor]: Taking taylor expansion of N in N 1.174 * [taylor]: Taking taylor expansion of 1.0 in N 1.174 * [taylor]: Taking taylor expansion of 1 in N 1.178 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 1.178 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 1.178 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 1.178 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 1.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.178 * [taylor]: Taking taylor expansion of N in N 1.178 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.178 * [taylor]: Taking taylor expansion of N in N 1.178 * [taylor]: Taking taylor expansion of 1.0 in N 1.179 * [taylor]: Taking taylor expansion of 1 in N 1.186 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 1.186 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.186 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.186 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.186 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.186 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.186 * [taylor]: Taking taylor expansion of -1 in N 1.186 * [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 1.187 * [taylor]: Taking taylor expansion of 1 in N 1.191 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.191 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.191 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.191 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.191 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.191 * [taylor]: Taking taylor expansion of -1 in N 1.191 * [taylor]: Taking taylor expansion of N in N 1.192 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.192 * [taylor]: Taking taylor expansion of 1.0 in N 1.192 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.192 * [taylor]: Taking taylor expansion of N in N 1.192 * [taylor]: Taking taylor expansion of 1 in N 1.200 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1) 1.200 * [approximate]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in (N) around 0 1.200 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in N 1.200 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 1.200 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 1.200 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.200 * [taylor]: Taking taylor expansion of N in N 1.201 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.201 * [taylor]: Taking taylor expansion of N in N 1.201 * [taylor]: Taking taylor expansion of 1.0 in N 1.201 * [taylor]: Taking taylor expansion of 1 in N 1.203 * [taylor]: Taking taylor expansion of (sqrt (fma N (+ N 1.0) 1)) in N 1.203 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 1.204 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 1.204 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 1.204 * [taylor]: Taking taylor expansion of N in N 1.204 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.204 * [taylor]: Taking taylor expansion of N in N 1.204 * [taylor]: Taking taylor expansion of 1.0 in N 1.204 * [taylor]: Taking taylor expansion of 1 in N 1.209 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 1.209 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 1.209 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 1.209 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 1.209 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 1.210 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.210 * [taylor]: Taking taylor expansion of N in N 1.210 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.210 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.210 * [taylor]: Taking taylor expansion of N in N 1.210 * [taylor]: Taking taylor expansion of 1.0 in N 1.210 * [taylor]: Taking taylor expansion of 1 in N 1.214 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 1.214 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 1.214 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 1.214 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 1.214 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.214 * [taylor]: Taking taylor expansion of N in N 1.214 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.214 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.214 * [taylor]: Taking taylor expansion of N in N 1.215 * [taylor]: Taking taylor expansion of 1.0 in N 1.215 * [taylor]: Taking taylor expansion of 1 in N 1.222 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 1.222 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.222 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.222 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.222 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.222 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.222 * [taylor]: Taking taylor expansion of -1 in N 1.222 * [taylor]: Taking taylor expansion of N in N 1.223 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.223 * [taylor]: Taking taylor expansion of 1.0 in N 1.223 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.223 * [taylor]: Taking taylor expansion of N in N 1.223 * [taylor]: Taking taylor expansion of 1 in N 1.227 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.228 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 1.228 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 1.228 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 1.228 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.228 * [taylor]: Taking taylor expansion of -1 in N 1.228 * [taylor]: Taking taylor expansion of N in N 1.228 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.228 * [taylor]: Taking taylor expansion of 1.0 in N 1.228 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.228 * [taylor]: Taking taylor expansion of N in N 1.228 * [taylor]: Taking taylor expansion of 1 in N 1.242 * * * [progress]: simplifying candidates 1.243 * [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))) 1.247 * * [simplify]: iteration 0 : 133 enodes (cost 338 ) 1.250 * * [simplify]: iteration 1 : 324 enodes (cost 314 ) 1.256 * * [simplify]: iteration 2 : 1036 enodes (cost 310 ) 1.283 * * [simplify]: iteration 3 : 5002 enodes (cost 308 ) 1.285 * [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)) 1.285 * * * [progress]: adding candidates to table 1.513 * [progress]: [Phase 3 of 3] Extracting. 1.513 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.515 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.515 * * * * [regimes]: Trying to branch on N from (# # # # # # # #) 1.727 * * * [regime]: Found split indices: #