9.440 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.029 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.030 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.032 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.032 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.040 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.042 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.043 * * * [progress]: generating series expansions 0.043 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.043 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.043 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.043 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.043 * [taylor]: Taking taylor expansion of (atan N) in N 0.043 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.043 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.044 * [taylor]: Taking taylor expansion of (atan N) in N 0.047 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.047 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.047 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.047 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.047 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.047 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.047 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.050 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.050 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.050 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.051 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.054 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.054 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.054 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.054 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.054 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.054 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.054 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.055 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.055 * * * [progress]: simplifying candidates 0.055 * [simplify]: Simplifying using # : (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) 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)) (- (atan N)) (- (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)) 0.058 * * [simplify]: iteration 0 : 55 enodes (cost 58 ) 0.060 * * [simplify]: iteration 1 : 117 enodes (cost 56 ) 0.062 * * [simplify]: iteration 2 : 228 enodes (cost 55 ) 0.066 * * [simplify]: iteration 3 : 434 enodes (cost 53 ) 0.076 * * [simplify]: iteration 4 : 1626 enodes (cost 53 ) 0.112 * * [simplify]: iteration 5 : 5002 enodes (cost 53 ) 0.113 * [simplify]: Simplified to: 1.0 (fma N (+ N 1.0) 1) (- (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)) (- (atan N)) (- (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)) 0.113 * * * [progress]: adding candidates to table 0.127 * * [progress]: iteration 2 / 4 0.127 * * * [progress]: picking best candidate 0.128 * * * * [pick]: Picked # 0.129 * * * [progress]: localizing error 0.134 * * * [progress]: generating rewritten candidates 0.134 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.134 * * * [progress]: generating series expansions 0.134 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.135 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 0.135 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.135 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.135 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 0.135 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.135 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.136 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 0.136 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.136 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.136 * * * [progress]: simplifying candidates 0.136 * [simplify]: Simplifying using # : (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)) 0.138 * * [simplify]: iteration 0 : 11 enodes (cost 9 ) 0.140 * * [simplify]: iteration 1 : 20 enodes (cost 9 ) 0.141 * * [simplify]: iteration 2 : 39 enodes (cost 9 ) 0.142 * * [simplify]: iteration 3 : 49 enodes (cost 9 ) 0.143 * * [simplify]: iteration 4 : 49 enodes (cost 9 ) 0.144 * [simplify]: Simplified to: (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)) 0.144 * * * [progress]: adding candidates to table 0.144 * [progress]: [Phase 3 of 3] Extracting. 0.144 * * [regime]: Finding splitpoints for: (# #) 0.144 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N) 0.144 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (# #) 0.158 * * * * [regimes]: Trying to branch on N from (# #) 0.168 * * * [regime]: Found split indices: #