16.175 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.037 * * * [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)) 0.044 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.045 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.047 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.047 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.048 * * [progress]: iteration 1 / 4 0.048 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.057 * * * [progress]: generating rewritten candidates 0.057 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.059 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.060 * * * [progress]: generating series expansions 0.060 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.061 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.061 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.061 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.061 * [taylor]: Taking taylor expansion of (atan N) in N 0.061 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.061 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.061 * [taylor]: Taking taylor expansion of (atan N) in N 0.064 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.064 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.064 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.064 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.064 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.064 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.064 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.068 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.068 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.068 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.068 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.068 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.068 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.068 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.071 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.072 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.072 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.072 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.072 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.072 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.072 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.072 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.072 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.072 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.073 * * * [progress]: simplifying candidates 0.073 * [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)) 0.075 * * [simplify]: iteration 0 : 55 enodes (cost 58 ) 0.077 * * [simplify]: iteration 1 : 117 enodes (cost 56 ) 0.079 * * [simplify]: iteration 2 : 228 enodes (cost 55 ) 0.083 * * [simplify]: iteration 3 : 434 enodes (cost 53 ) 0.092 * * [simplify]: iteration 4 : 1626 enodes (cost 53 ) 0.128 * * [simplify]: iteration 5 : 5002 enodes (cost 53 ) 0.129 * [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)) 0.129 * * * [progress]: adding candidates to table 0.143 * * [progress]: iteration 2 / 4 0.143 * * * [progress]: picking best candidate 0.145 * * * * [pick]: Picked # 0.145 * * * [progress]: localizing error 0.150 * * * [progress]: generating rewritten candidates 0.150 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.151 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.152 * * * [progress]: generating series expansions 0.152 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.152 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in (N) around 0 0.152 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.152 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma N (+ N 1.0) 1)) in N 0.152 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in (N) around 0 0.152 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.152 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ 1 N) (+ (/ 1 N) 1.0) 1)) in N 0.153 * [approximate]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in (N) around 0 0.153 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.153 * [taylor]: Taking taylor expansion of (atan2 1.0 (fma (/ -1 N) (- 1.0 (/ 1 N)) 1)) in N 0.153 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.153 * [approximate]: Taking taylor expansion of (fma N (+ N 1.0) 1) in (N) around 0 0.153 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.153 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.153 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.153 * [taylor]: Taking taylor expansion of N in N 0.153 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.153 * [taylor]: Taking taylor expansion of N in N 0.153 * [taylor]: Taking taylor expansion of 1.0 in N 0.153 * [taylor]: Taking taylor expansion of 1 in N 0.153 * [taylor]: Taking taylor expansion of (fma N (+ N 1.0) 1) in N 0.154 * [taylor]: Rewrote expression to (+ (* N (+ N 1.0)) 1) 0.154 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.154 * [taylor]: Taking taylor expansion of N in N 0.154 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.154 * [taylor]: Taking taylor expansion of N in N 0.154 * [taylor]: Taking taylor expansion of 1.0 in N 0.154 * [taylor]: Taking taylor expansion of 1 in N 0.157 * [approximate]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in (N) around 0 0.157 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.157 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.157 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.157 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.157 * [taylor]: Taking taylor expansion of N in N 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.158 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.158 * [taylor]: Taking taylor expansion of N in N 0.158 * [taylor]: Taking taylor expansion of 1.0 in N 0.158 * [taylor]: Taking taylor expansion of 1 in N 0.158 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (+ (/ 1 N) 1.0) 1) in N 0.158 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (+ (/ 1 N) 1.0)) 1) 0.158 * [taylor]: Taking taylor expansion of (* (/ 1 N) (+ (/ 1 N) 1.0)) in N 0.158 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.158 * [taylor]: Taking taylor expansion of N in N 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.159 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.159 * [taylor]: Taking taylor expansion of N in N 0.159 * [taylor]: Taking taylor expansion of 1.0 in N 0.159 * [taylor]: Taking taylor expansion of 1 in N 0.164 * [approximate]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in (N) around 0 0.164 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.164 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.164 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.164 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.164 * [taylor]: Taking taylor expansion of -1 in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.165 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.165 * [taylor]: Taking taylor expansion of 1.0 in N 0.165 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.165 * [taylor]: Taking taylor expansion of 1 in N 0.165 * [taylor]: Taking taylor expansion of (fma (/ -1 N) (- 1.0 (/ 1 N)) 1) in N 0.165 * [taylor]: Rewrote expression to (+ (* (/ -1 N) (- 1.0 (/ 1 N))) 1) 0.165 * [taylor]: Taking taylor expansion of (* (/ -1 N) (- 1.0 (/ 1 N))) in N 0.165 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.165 * [taylor]: Taking taylor expansion of -1 in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.166 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.166 * [taylor]: Taking taylor expansion of 1.0 in N 0.166 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.166 * [taylor]: Taking taylor expansion of N in N 0.166 * [taylor]: Taking taylor expansion of 1 in N 0.173 * * * [progress]: simplifying candidates 0.173 * [simplify]: Simplifying using # : (* N (+ N 1.0)) (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)) 0.175 * * [simplify]: iteration 0 : 27 enodes (cost 17 ) 0.177 * * [simplify]: iteration 1 : 46 enodes (cost 17 ) 0.179 * * [simplify]: iteration 2 : 114 enodes (cost 17 ) 0.181 * * [simplify]: iteration 3 : 239 enodes (cost 17 ) 0.187 * * [simplify]: iteration 4 : 667 enodes (cost 17 ) 0.214 * * [simplify]: iteration 5 : 3314 enodes (cost 17 ) 0.324 * * [simplify]: iteration 6 : 5001 enodes (cost 17 ) 0.324 * [simplify]: Simplified to: (* N (+ N 1.0)) (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) 0.324 * * * [progress]: adding candidates to table 0.327 * [progress]: [Phase 3 of 3] Extracting. 0.327 * * [regime]: Finding splitpoints for: (# #) 0.327 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N) 0.327 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (# #) 0.341 * * * * [regimes]: Trying to branch on N from (# #) 0.354 * * * [regime]: Found split indices: #