7.299 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.038 * * * [progress]: [2/2] Setting up program. 0.040 * [progress]: [Phase 2 of 3] Improving. 0.040 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.043 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.044 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.046 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.046 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.048 * * * * [pick]: Picked # 0.048 * * * [progress]: localizing error 0.053 * * * [progress]: generating rewritten candidates 0.053 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.058 * * * [progress]: generating series expansions 0.058 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.058 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.058 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.058 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.058 * [taylor]: Taking taylor expansion of (atan N) in N 0.058 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.058 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.058 * [taylor]: Taking taylor expansion of (atan N) in N 0.061 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.061 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.061 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.062 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.062 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.062 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.062 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.065 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.065 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.065 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.065 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.065 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.065 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.065 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.069 * * * [progress]: simplifying candidates 0.069 * [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)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 0.073 * * [simplify]: iteration 0 : 126 enodes (cost 328 ) 0.076 * * [simplify]: iteration 1 : 342 enodes (cost 227 ) 0.084 * * [simplify]: iteration 2 : 1471 enodes (cost 217 ) 0.115 * * [simplify]: iteration 3 : 5001 enodes (cost 161 ) 0.117 * [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)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 0.117 * * * [progress]: adding candidates to table 0.163 * * [progress]: iteration 2 / 4 0.163 * * * [progress]: picking best candidate 0.165 * * * * [pick]: Picked # 0.165 * * * [progress]: localizing error 0.170 * * * [progress]: generating rewritten candidates 0.170 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.170 * * * [progress]: generating series expansions 0.170 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.171 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 0.171 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.171 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.171 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 0.171 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.171 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.172 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 0.172 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.172 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.172 * * * [progress]: simplifying candidates 0.172 * [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))) (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)) 0.175 * * [simplify]: iteration 0 : 21 enodes (cost 57 ) 0.177 * * [simplify]: iteration 1 : 32 enodes (cost 50 ) 0.178 * * [simplify]: iteration 2 : 55 enodes (cost 50 ) 0.180 * * [simplify]: iteration 3 : 70 enodes (cost 50 ) 0.182 * * [simplify]: iteration 4 : 89 enodes (cost 50 ) 0.183 * * [simplify]: iteration 5 : 143 enodes (cost 50 ) 0.189 * * [simplify]: iteration 6 : 567 enodes (cost 50 ) 0.204 * * [simplify]: iteration 7 : 1779 enodes (cost 50 ) 0.268 * * [simplify]: iteration 8 : 5001 enodes (cost 50 ) 0.269 * [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))) (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)) 0.269 * * * [progress]: adding candidates to table 0.293 * * [progress]: iteration 3 / 4 0.293 * * * [progress]: picking best candidate 0.298 * * * * [pick]: Picked # 0.298 * * * [progress]: localizing error 0.305 * * * [progress]: generating rewritten candidates 0.305 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.306 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.307 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.314 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.316 * * * [progress]: generating series expansions 0.316 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.316 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0 0.316 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.316 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.316 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.317 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.320 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0 0.320 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.320 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.320 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.320 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.324 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0 0.324 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.324 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.324 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.324 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.328 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.328 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0 0.328 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.328 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.328 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.328 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.331 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0 0.331 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.331 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.332 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.332 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.335 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0 0.335 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.335 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.335 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.335 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.339 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.339 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 0.339 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.339 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.340 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 0.340 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.340 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.341 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 0.341 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.341 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.341 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.341 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 0.341 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.341 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.342 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 0.342 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.342 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.342 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 0.342 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.342 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.343 * * * [progress]: simplifying candidates 0.344 * [simplify]: Simplifying using # : (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (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)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt 1) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (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)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt 1) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (log1p (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (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)))) (* (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1))) (+ 1 1) (+ (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (log (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (exp (* (sqrt (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))) (sqrt (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))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (cbrt (* (sqrt (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))) (sqrt (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))))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (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 (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* 1 1) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt 1)) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 1) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (sqrt (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))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (sqrt (sqrt (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))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (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))) (sqrt (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))) (sqrt (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))) (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)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 0.349 * * [simplify]: iteration 0 : 100 enodes (cost 554 ) 0.352 * * [simplify]: iteration 1 : 375 enodes (cost 496 ) 0.362 * * [simplify]: iteration 2 : 2244 enodes (cost 476 ) 0.443 * * [simplify]: iteration 3 : 5001 enodes (cost 461 ) 0.446 * [simplify]: Simplified to: (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3) (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 1/2 (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3) (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 1/2 (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (atan2 1.0 (fma N (+ N 1.0) 1))) (log1p (atan2 1.0 (fma N (+ N 1.0) 1))) 1 1 2 1 1 (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 4) (atan2 1.0 (fma N (+ N 1.0) 1)) (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 4) 2 (log (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))) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) (pow (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 4) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 3) (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 4) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (pow (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 4) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (pow (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 4) (cbrt (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))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 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))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 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))) (sqrt (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))) (sqrt (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))) 1 2 1 (pow (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 5) (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (pow (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 4) (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (atan2 1.0 (fma N (+ N 1.0) 1)) (pow (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 3) (atan2 1.0 (fma N (+ N 1.0) 1)) (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))) (pow (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 4) (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))) (sqrt (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))) (sqrt (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))) (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)) (atan2 1.0 (fma N (+ N 1.0) 1)) (atan2 1.0 (fma N (+ N 1.0) 1)) 0.447 * * * [progress]: adding candidates to table 0.605 * * [progress]: iteration 4 / 4 0.605 * * * [progress]: picking best candidate 0.612 * * * * [pick]: Picked # 0.612 * * * [progress]: localizing error 0.629 * * * [progress]: generating rewritten candidates 0.629 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 0.630 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.630 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.631 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.639 * * * [progress]: generating series expansions 0.639 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 0.639 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3) in (N) around 0 0.639 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3) in N 0.639 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) in N 0.639 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (fma N (+ N 1.0) 1)))) in N 0.639 * [taylor]: Taking taylor expansion of 1/3 in N 0.639 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.639 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.639 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3) in N 0.639 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) in N 0.639 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (fma N (+ N 1.0) 1)))) in N 0.639 * [taylor]: Taking taylor expansion of 1/3 in N 0.639 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.639 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.673 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/3) in (N) around 0 0.673 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/3) in N 0.673 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) in N 0.673 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.673 * [taylor]: Taking taylor expansion of 1/3 in N 0.673 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.673 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.673 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/3) in N 0.673 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) in N 0.673 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.673 * [taylor]: Taking taylor expansion of 1/3 in N 0.673 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.673 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.713 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/3) in (N) around 0 0.713 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/3) in N 0.713 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) in N 0.713 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.713 * [taylor]: Taking taylor expansion of 1/3 in N 0.713 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.713 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.714 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/3) in N 0.714 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) in N 0.714 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.714 * [taylor]: Taking taylor expansion of 1/3 in N 0.714 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.714 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.748 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.748 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3) in (N) around 0 0.748 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3) in N 0.748 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) in N 0.748 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (fma N (+ N 1.0) 1)))) in N 0.748 * [taylor]: Taking taylor expansion of 1/3 in N 0.748 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.748 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.748 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3) in N 0.748 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) in N 0.748 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (fma N (+ N 1.0) 1)))) in N 0.748 * [taylor]: Taking taylor expansion of 1/3 in N 0.748 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.748 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.786 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/3) in (N) around 0 0.786 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/3) in N 0.786 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) in N 0.786 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.786 * [taylor]: Taking taylor expansion of 1/3 in N 0.786 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.786 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.786 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/3) in N 0.787 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) in N 0.787 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.787 * [taylor]: Taking taylor expansion of 1/3 in N 0.787 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.787 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.821 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/3) in (N) around 0 0.821 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/3) in N 0.821 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) in N 0.821 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.821 * [taylor]: Taking taylor expansion of 1/3 in N 0.821 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.821 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.821 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/3) in N 0.822 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) in N 0.822 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.822 * [taylor]: Taking taylor expansion of 1/3 in N 0.822 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.822 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.857 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.857 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in (N) around 0 0.857 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.857 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.857 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.857 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.861 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in (N) around 0 0.861 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.861 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.861 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.861 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.870 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in (N) around 0 0.870 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.870 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.870 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.870 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.874 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.874 * [approximate]: Taking taylor expansion of (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/6) (fabs (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3))) in (N) around 0 0.874 * [taylor]: Taking taylor expansion of (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/6) (fabs (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3))) in N 0.874 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/6) in N 0.874 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) in N 0.874 * [taylor]: Taking taylor expansion of (* 1/6 (log (atan2 1.0 (fma N (+ N 1.0) 1)))) in N 0.874 * [taylor]: Taking taylor expansion of 1/6 in N 0.874 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.874 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.874 * [taylor]: Taking taylor expansion of (fabs (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3)) in N 0.875 * [taylor]: Taking taylor expansion of (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/6) (fabs (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3))) in N 0.875 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/6) in N 0.875 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (atan2 1.0 (fma N (+ N 1.0) 1))))) in N 0.875 * [taylor]: Taking taylor expansion of (* 1/6 (log (atan2 1.0 (fma N (+ N 1.0) 1)))) in N 0.875 * [taylor]: Taking taylor expansion of 1/6 in N 0.875 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma N (+ N 1.0) 1))) in N 0.875 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.875 * [taylor]: Taking taylor expansion of (fabs (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3)) in N 0.913 * [approximate]: Taking taylor expansion of (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/6) (fabs (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/3))) in (N) around 0 0.913 * [taylor]: Taking taylor expansion of (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/6) (fabs (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/3))) in N 0.914 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/6) in N 0.914 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) in N 0.914 * [taylor]: Taking taylor expansion of (* 1/6 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.914 * [taylor]: Taking taylor expansion of 1/6 in N 0.914 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.914 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.914 * [taylor]: Taking taylor expansion of (fabs (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/3)) in N 0.914 * [taylor]: Taking taylor expansion of (* (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/6) (fabs (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/3))) in N 0.914 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/6) in N 0.914 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))))) in N 0.914 * [taylor]: Taking taylor expansion of (* 1/6 (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)))) in N 0.914 * [taylor]: Taking taylor expansion of 1/6 in N 0.914 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1))) in N 0.914 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.915 * [taylor]: Taking taylor expansion of (fabs (pow (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) 1/3)) in N 0.961 * [approximate]: Taking taylor expansion of (* (fabs (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/3)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/6)) in (N) around 0 0.961 * [taylor]: Taking taylor expansion of (* (fabs (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/3)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/6)) in N 0.961 * [taylor]: Taking taylor expansion of (fabs (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/3)) in N 0.961 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/6) in N 0.961 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) in N 0.961 * [taylor]: Taking taylor expansion of (* 1/6 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.961 * [taylor]: Taking taylor expansion of 1/6 in N 0.961 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.961 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.962 * [taylor]: Taking taylor expansion of (* (fabs (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/3)) (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/6)) in N 0.962 * [taylor]: Taking taylor expansion of (fabs (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/3)) in N 0.962 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) 1/6) in N 0.962 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))))) in N 0.962 * [taylor]: Taking taylor expansion of (* 1/6 (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)))) in N 0.962 * [taylor]: Taking taylor expansion of 1/6 in N 0.962 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1))) in N 0.962 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 1.002 * * * [progress]: simplifying candidates 1.004 * [simplify]: Simplifying using # : (expm1 (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt 1) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (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)))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt 1) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (* (cbrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (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)))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (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)))) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt 1) (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (log1p (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (+ (log (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (log (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (log (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (exp (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (* (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (* (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (cbrt (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (cbrt (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))))) (cbrt (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (* (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (sqrt (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (sqrt (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))))) (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))))) (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt 1))) (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (* (cbrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))))) (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt 1)) (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 1) (* (cbrt (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3) (sqrt (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))) (* (fabs (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/6)) (* (fabs (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/6)) (* (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/6) (fabs (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3))) 1.009 * * [simplify]: iteration 0 : 127 enodes (cost 730 ) 1.012 * * [simplify]: iteration 1 : 417 enodes (cost 677 ) 1.020 * * [simplify]: iteration 2 : 1346 enodes (cost 670 ) 1.052 * * [simplify]: iteration 3 : 5002 enodes (cost 665 ) 1.056 * [simplify]: Simplified to: (expm1 (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 1 (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3) (* (cbrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (atan2 1.0 (fma N (+ N 1.0) 1)) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 1 (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3) (* (cbrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (atan2 1.0 (fma N (+ N 1.0) 1)) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log1p (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (log (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (exp (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (pow (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 3) (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) 1 (sqrt (atan2 1.0 (fma N (+ N 1.0) 1))) 1/2 (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (expm1 (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (log1p (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (log (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (log (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (exp (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (pow (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (* (cbrt (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (cbrt (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))))) (cbrt (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (pow (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) 3) (sqrt (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (sqrt (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (sqrt (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (cbrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))))) (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (* (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))) (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))))) (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (sqrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (fabs (cbrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))))) (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (* (cbrt (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (sqrt (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (* (fabs (cbrt (atan2 1.0 (fma N (+ N 1.0) 1)))) (sqrt (cbrt (atan2 1.0 (fma N (+ N 1.0) 1))))) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3) (sqrt (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))) (* (fabs (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/6)) (* (fabs (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/6)) (* (fabs (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/3)) (pow (atan2 1.0 (fma N (+ N 1.0) 1)) 1/6)) 1.056 * * * [progress]: adding candidates to table 1.264 * [progress]: [Phase 3 of 3] Extracting. 1.264 * * [regime]: Finding splitpoints for: (# # # # # #) 1.266 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.266 * * * * [regimes]: Trying to branch on N from (# # # # # #) 1.289 * * * [regime]: Found split indices: #