7.939 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.036 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.037 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.038 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.038 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.040 * * * * [pick]: Picked # 0.040 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.049 * * * [progress]: generating series expansions 0.050 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.050 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.050 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.050 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.050 * [taylor]: Taking taylor expansion of (atan N) in N 0.050 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.050 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.050 * [taylor]: Taking taylor expansion of (atan N) in N 0.050 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.050 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.050 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.050 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.050 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.050 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.050 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.051 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 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 0.051 * [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 0.052 * * * [progress]: simplifying candidates 0.052 * [simplify]: Simplifying using # : (- (+ 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)))) (neg (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)) (neg (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 0.054 * * [simplify]: iteration 0 : 72 enodes (cost 123 ) 0.056 * * [simplify]: iteration 1 : 142 enodes (cost 114 ) 0.058 * * [simplify]: iteration 2 : 286 enodes (cost 112 ) 0.063 * * [simplify]: iteration 3 : 678 enodes (cost 111 ) 0.076 * * [simplify]: iteration 4 : 2444 enodes (cost 111 ) 0.122 * * [simplify]: iteration 5 : 5002 enodes (cost 111 ) 0.123 * [simplify]: Simplified to: 1.0 (+ 1 (* (+ N 1.0) N)) (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)) (+ (* (atan (+ N 1.0)) (+ (atan (+ N 1.0)) (atan N))) (* (atan N) (atan N))) (- 0 (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)) (- 0 (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 0.123 * * * [progress]: adding candidates to table 0.145 * * [progress]: iteration 2 / 4 0.145 * * * [progress]: picking best candidate 0.146 * * * * [pick]: Picked # 0.147 * * * [progress]: localizing error 0.152 * * * [progress]: generating rewritten candidates 0.152 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.153 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.159 * * * [progress]: generating series expansions 0.159 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.159 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.159 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.159 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.160 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.160 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.160 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.160 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.160 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.161 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.161 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.161 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.161 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.161 * [taylor]: Taking taylor expansion of N in N 0.161 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.161 * [taylor]: Taking taylor expansion of N in N 0.161 * [taylor]: Taking taylor expansion of 1.0 in N 0.161 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.161 * [taylor]: Taking taylor expansion of N in N 0.161 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.161 * [taylor]: Taking taylor expansion of N in N 0.161 * [taylor]: Taking taylor expansion of 1.0 in N 0.162 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.162 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.162 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.162 * [taylor]: Taking taylor expansion of N in N 0.162 * [taylor]: Taking taylor expansion of 1.0 in N 0.162 * [taylor]: Taking taylor expansion of N in N 0.162 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.162 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.162 * [taylor]: Taking taylor expansion of N in N 0.162 * [taylor]: Taking taylor expansion of 1.0 in N 0.162 * [taylor]: Taking taylor expansion of N in N 0.163 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.163 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.163 * [taylor]: Taking taylor expansion of -1 in N 0.163 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.163 * [taylor]: Taking taylor expansion of 1.0 in N 0.164 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.164 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.164 * [taylor]: Taking taylor expansion of -1 in N 0.164 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.164 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.164 * [taylor]: Taking taylor expansion of 1.0 in N 0.164 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.165 * * * [progress]: simplifying candidates 0.166 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ N 1.0) N) (+ (log (+ N 1.0)) (log N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (* (+ N 1.0) 1) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) 0.171 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.173 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.183 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.219 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.221 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ N 1.0) N) (log (* (+ N 1.0) N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (pow (* (+ N 1.0) N) 3) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (pow (* (+ N 1.0) N) 3) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (+ N 1.0) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ N 1.0) N) 0.221 * * * [progress]: adding candidates to table 0.257 * * [progress]: iteration 3 / 4 0.257 * * * [progress]: picking best candidate 0.262 * * * * [pick]: Picked # 0.262 * * * [progress]: localizing error 0.270 * * * [progress]: generating rewritten candidates 0.270 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.272 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.273 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.273 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.274 * * * [progress]: generating series expansions 0.274 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.275 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 0.275 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.275 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.275 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.275 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.276 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 0.276 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.277 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.277 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.277 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.280 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 0.280 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.280 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.281 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.281 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.282 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.282 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 0.282 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.282 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.283 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.283 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.284 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 0.284 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.284 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.285 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.285 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.286 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 0.286 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.286 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.287 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.287 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.288 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.289 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.289 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.289 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.289 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.289 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.289 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.290 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.290 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.290 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.291 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.291 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.291 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.291 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.291 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.291 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.292 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.292 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.292 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.292 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.293 * * * [progress]: simplifying candidates 0.293 * [simplify]: Simplifying using # : (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt 1) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt 1) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 0.297 * * [simplify]: iteration 0 : 49 enodes (cost 332 ) 0.298 * * [simplify]: iteration 1 : 79 enodes (cost 294 ) 0.300 * * [simplify]: iteration 2 : 159 enodes (cost 294 ) 0.303 * * [simplify]: iteration 3 : 330 enodes (cost 292 ) 0.312 * * [simplify]: iteration 4 : 1184 enodes (cost 292 ) 0.363 * * [simplify]: iteration 5 : 5001 enodes (cost 292 ) 0.366 * [simplify]: Simplified to: (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (pow (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 3) (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 1 (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 1/2 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (pow (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 3) (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 1 (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 1/2 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 0.366 * * * [progress]: adding candidates to table 0.453 * * [progress]: iteration 4 / 4 0.453 * * * [progress]: picking best candidate 0.461 * * * * [pick]: Picked # 0.461 * * * [progress]: localizing error 0.475 * * * [progress]: generating rewritten candidates 0.475 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 0.476 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 0.478 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 0.479 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.487 * * * [progress]: generating series expansions 0.487 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 0.487 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) in (N) around 0 0.487 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) in N 0.487 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) in N 0.487 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) in N 0.487 * [taylor]: Taking taylor expansion of 1/3 in N 0.487 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.487 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.488 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) in N 0.488 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) in N 0.488 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) in N 0.488 * [taylor]: Taking taylor expansion of 1/3 in N 0.488 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.488 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.497 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) in (N) around 0 0.497 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) in N 0.497 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) in N 0.497 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N 0.497 * [taylor]: Taking taylor expansion of 1/3 in N 0.497 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.497 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.498 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) in N 0.498 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) in N 0.498 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N 0.498 * [taylor]: Taking taylor expansion of 1/3 in N 0.498 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.498 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.508 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in (N) around 0 0.508 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in N 0.508 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N 0.508 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 0.509 * [taylor]: Taking taylor expansion of 1/3 in N 0.509 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.509 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.509 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in N 0.509 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N 0.509 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 0.509 * [taylor]: Taking taylor expansion of 1/3 in N 0.509 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.509 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.519 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 0.520 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) in (N) around 0 0.520 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) in N 0.520 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) in N 0.520 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) in N 0.520 * [taylor]: Taking taylor expansion of 1/3 in N 0.520 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.520 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.520 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) in N 0.520 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) in N 0.520 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) in N 0.520 * [taylor]: Taking taylor expansion of 1/3 in N 0.520 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.520 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.530 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) in (N) around 0 0.530 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) in N 0.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) in N 0.530 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N 0.530 * [taylor]: Taking taylor expansion of 1/3 in N 0.530 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.530 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.530 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) in N 0.530 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) in N 0.530 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N 0.530 * [taylor]: Taking taylor expansion of 1/3 in N 0.530 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.530 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.543 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in (N) around 0 0.543 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in N 0.543 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N 0.543 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 0.543 * [taylor]: Taking taylor expansion of 1/3 in N 0.543 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.543 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.543 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in N 0.543 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N 0.544 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 0.544 * [taylor]: Taking taylor expansion of 1/3 in N 0.544 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.544 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.554 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 0.554 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) in (N) around 0 0.554 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) in N 0.554 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) in N 0.554 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) in N 0.554 * [taylor]: Taking taylor expansion of 1/3 in N 0.554 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.554 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.555 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) in N 0.555 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))))) in N 0.555 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) in N 0.555 * [taylor]: Taking taylor expansion of 1/3 in N 0.555 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.555 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.564 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) in (N) around 0 0.564 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) in N 0.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) in N 0.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N 0.564 * [taylor]: Taking taylor expansion of 1/3 in N 0.564 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.564 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.564 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) 1/3) in N 0.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))))) in N 0.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))))) in N 0.564 * [taylor]: Taking taylor expansion of 1/3 in N 0.565 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.565 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.575 * [approximate]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in (N) around 0 0.575 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in N 0.575 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N 0.575 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 0.575 * [taylor]: Taking taylor expansion of 1/3 in N 0.575 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.575 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.576 * [taylor]: Taking taylor expansion of (pow (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) 1/3) in N 0.576 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))))) in N 0.576 * [taylor]: Taking taylor expansion of (* 1/3 (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))))) in N 0.576 * [taylor]: Taking taylor expansion of 1/3 in N 0.576 * [taylor]: Taking taylor expansion of (log (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.576 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.586 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.587 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 0.587 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.587 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.587 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.587 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.589 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 0.589 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.589 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.589 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.589 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.591 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 0.592 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.592 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.592 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.592 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.594 * * * [progress]: simplifying candidates 0.595 * [simplify]: Simplifying using # : (log (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt 1) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt 1) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt 1) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (sqrt (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (exp (sqrt (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (* (cbrt (sqrt (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (cbrt (sqrt (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))) (cbrt (sqrt (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (* (* (sqrt (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (sqrt (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (/ (+ (+ 1/3 1/3) 1/3) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1/3) 1/3) 2) (/ (+ (* 2 1) 1) 2) (/ 1/3 2) (/ 1 2) (/ 1 2) (/ 3 2) (/ (+ (+ 1 1) 1) 2) (/ (+ 2 1) 2) (/ (+ (+ 1 1) 1) 2) (/ (+ (* 2 1) 1) 2) (/ 1 2) (sqrt (sqrt (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (sqrt (sqrt (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1/3) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) 0.599 * * [simplify]: iteration 0 : 87 enodes (cost 542 ) 0.602 * * [simplify]: iteration 1 : 221 enodes (cost 480 ) 0.613 * * [simplify]: iteration 2 : 1261 enodes (cost 461 ) 0.686 * * [simplify]: iteration 3 : 5001 enodes (cost 432 ) 0.689 * [simplify]: Simplified to: (log (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 1 (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 1 (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 1 (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (sqrt (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (* (cbrt (sqrt (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (cbrt (sqrt (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (pow (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 3) (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 1/2 3/2 3/2 3/2 1/2 3/2 1/6 1/2 1/2 3/2 3/2 3/2 3/2 3/2 1/2 (sqrt (sqrt (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (sqrt (sqrt (* (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 0.689 * * * [progress]: adding candidates to table 0.849 * [progress]: [Phase 3 of 3] Extracting. 0.849 * * [regime]: Finding splitpoints for: (# # # # #) 0.850 * * * [regime-changes]: Trying 1 branch expressions: (N) 0.850 * * * * [regimes]: Trying to branch on N from (# # # # #) 0.889 * * * [regime]: Found split indices: #