7.011 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.037 * * * [progress]: [2/2] Setting up program. 0.039 * [progress]: [Phase 2 of 3] Improving. 0.039 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.041 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.042 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.044 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.044 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.044 * * [progress]: iteration 1 / 4 0.044 * * * [progress]: picking best candidate 0.046 * * * * [pick]: Picked # 0.046 * * * [progress]: localizing error 0.051 * * * [progress]: generating rewritten candidates 0.051 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.054 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.054 * * * [progress]: generating series expansions 0.055 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.055 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan N) in N 0.055 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.055 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.055 * [taylor]: Taking taylor expansion of (atan N) in N 0.058 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.058 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.058 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.058 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.058 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.058 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.059 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.062 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.062 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.062 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.062 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.062 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.062 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.062 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.065 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.065 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.066 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.066 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.066 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.066 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.066 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.066 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.066 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.066 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.067 * * * [progress]: simplifying candidates 0.067 * [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)))) (- (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)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (* (* (atan (+ N 1.0)) (atan (+ N 1.0))) (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.070 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.071 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.074 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.078 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.091 * * [simplify]: iteration 4 : 2491 enodes (cost 142 ) 0.138 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.139 * [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)) (log (atan (+ N 1.0))) (exp (atan (+ N 1.0))) (* (cbrt (atan (+ N 1.0))) (cbrt (atan (+ N 1.0)))) (cbrt (atan (+ N 1.0))) (pow (atan (+ N 1.0)) 3) (sqrt (atan (+ N 1.0))) (sqrt (atan (+ N 1.0))) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (atan (+ N 1.0)) (atan (+ N 1.0)) (atan (+ N 1.0)) 0.139 * * * [progress]: adding candidates to table 0.190 * * [progress]: iteration 2 / 4 0.190 * * * [progress]: picking best candidate 0.196 * * * * [pick]: Picked # 0.196 * * * [progress]: localizing error 0.201 * * * [progress]: generating rewritten candidates 0.201 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.202 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.211 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.214 * * * [progress]: generating series expansions 0.214 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.214 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.214 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.214 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.215 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.215 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.215 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.216 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.216 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.216 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.217 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.217 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.217 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.217 * [taylor]: Taking taylor expansion of N in N 0.217 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.217 * [taylor]: Taking taylor expansion of N in N 0.217 * [taylor]: Taking taylor expansion of 1.0 in N 0.217 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.217 * [taylor]: Taking taylor expansion of N in N 0.217 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.217 * [taylor]: Taking taylor expansion of N in N 0.217 * [taylor]: Taking taylor expansion of 1.0 in N 0.230 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.230 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.230 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.230 * [taylor]: Taking taylor expansion of N in N 0.230 * [taylor]: Taking taylor expansion of 1.0 in N 0.230 * [taylor]: Taking taylor expansion of N in N 0.231 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.231 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.231 * [taylor]: Taking taylor expansion of N in N 0.231 * [taylor]: Taking taylor expansion of 1.0 in N 0.231 * [taylor]: Taking taylor expansion of N in N 0.242 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.242 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.242 * [taylor]: Taking taylor expansion of -1 in N 0.242 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.242 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.242 * [taylor]: Taking taylor expansion of 1.0 in N 0.242 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.242 * [taylor]: Taking taylor expansion of N in N 0.243 * [taylor]: Taking taylor expansion of N in N 0.243 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.243 * [taylor]: Taking taylor expansion of -1 in N 0.243 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.243 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.243 * [taylor]: Taking taylor expansion of 1.0 in N 0.243 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.243 * [taylor]: Taking taylor expansion of N in N 0.244 * [taylor]: Taking taylor expansion of N in N 0.262 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.262 * [approximate]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in (N) around 0 0.263 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.263 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.263 * [taylor]: Taking taylor expansion of N in N 0.263 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.263 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.263 * [taylor]: Taking taylor expansion of 1.0 in N 0.263 * [taylor]: Taking taylor expansion of N in N 0.263 * [taylor]: Taking taylor expansion of 1 in N 0.263 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.263 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.263 * [taylor]: Taking taylor expansion of N in N 0.263 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.263 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.263 * [taylor]: Taking taylor expansion of 1.0 in N 0.263 * [taylor]: Taking taylor expansion of N in N 0.263 * [taylor]: Taking taylor expansion of 1 in N 0.266 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in (N) around 0 0.266 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.266 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.267 * [taylor]: Taking taylor expansion of 1.0 in N 0.267 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.267 * [taylor]: Taking taylor expansion of N in N 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.267 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.267 * [taylor]: Taking taylor expansion of N in N 0.267 * [taylor]: Taking taylor expansion of 1 in N 0.267 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.267 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.267 * [taylor]: Taking taylor expansion of 1.0 in N 0.267 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.267 * [taylor]: Taking taylor expansion of N in N 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.268 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.268 * [taylor]: Taking taylor expansion of N in N 0.268 * [taylor]: Taking taylor expansion of 1 in N 0.273 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in (N) around 0 0.273 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.273 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.273 * [taylor]: Taking taylor expansion of N in N 0.274 * [taylor]: Taking taylor expansion of 1 in N 0.274 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.274 * [taylor]: Taking taylor expansion of 1.0 in N 0.274 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.274 * [taylor]: Taking taylor expansion of N in N 0.274 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.274 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.274 * [taylor]: Taking taylor expansion of N in N 0.274 * [taylor]: Taking taylor expansion of 1 in N 0.274 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.274 * [taylor]: Taking taylor expansion of 1.0 in N 0.274 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.275 * [taylor]: Taking taylor expansion of N in N 0.281 * * * [progress]: simplifying candidates 0.281 * [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) (* (exp 1) (exp (* (+ N 1.0) N))) (log (+ 1 (* (+ N 1.0) N))) (exp (+ 1 (* (+ N 1.0) N))) (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N))) (* (* (+ 1 (* (+ N 1.0) N)) (+ 1 (* (+ N 1.0) N))) (+ 1 (* (+ N 1.0) N))) (sqrt (+ 1 (* (+ N 1.0) N))) (sqrt (+ 1 (* (+ N 1.0) N))) (+ (pow 1 3) (pow (* (+ N 1.0) N) 3)) (+ (* 1 1) (- (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* 1 (* (+ N 1.0) N)))) (- (* 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N))) (- 1 (* (+ N 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)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) 0.285 * * [simplify]: iteration 0 : 177 enodes (cost 222 ) 0.289 * * [simplify]: iteration 1 : 766 enodes (cost 193 ) 0.307 * * [simplify]: iteration 2 : 4572 enodes (cost 193 ) 0.390 * * [simplify]: iteration 3 : 5001 enodes (cost 193 ) 0.391 * [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) (exp (+ 1 (* (+ N 1.0) N))) (log (+ 1 (* (+ N 1.0) N))) (exp (+ 1 (* (+ N 1.0) N))) (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N))) (pow (+ 1 (* (+ N 1.0) N)) 3) (sqrt (+ 1 (* (+ N 1.0) N))) (sqrt (+ 1 (* (+ N 1.0) N))) (+ 1 (pow (* (+ N 1.0) N) 3)) (+ (* (* (+ N 1.0) N) (- (* (+ N 1.0) N) 1)) 1) (- 1 (* (* (+ N 1.0) N) (* (+ N 1.0) N))) (- 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))) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (+ 1 (* (+ N 1.0) N)) (+ 1 (* (+ N 1.0) N)) 0.391 * * * [progress]: adding candidates to table 0.471 * * [progress]: iteration 3 / 4 0.471 * * * [progress]: picking best candidate 0.478 * * * * [pick]: Picked # 0.478 * * * [progress]: localizing error 0.487 * * * [progress]: generating rewritten candidates 0.487 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.488 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 0.507 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 0.509 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 0.517 * * * [progress]: generating series expansions 0.517 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.517 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.517 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.517 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.518 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.518 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.518 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.519 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.519 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.519 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.520 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 0.520 * [approximate]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in (N) around 0 0.520 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 0.520 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 0.520 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 0.520 * [taylor]: Taking taylor expansion of 1/3 in N 0.520 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 0.520 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.520 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.520 * [taylor]: Taking taylor expansion of N in N 0.520 * [taylor]: Taking taylor expansion of 1.0 in N 0.523 * [taylor]: Taking taylor expansion of (pow (pow (+ N 1.0) 2) 1/3) in N 0.523 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ N 1.0) 2)))) in N 0.523 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ N 1.0) 2))) in N 0.523 * [taylor]: Taking taylor expansion of 1/3 in N 0.523 * [taylor]: Taking taylor expansion of (log (pow (+ N 1.0) 2)) in N 0.523 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 0.523 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.523 * [taylor]: Taking taylor expansion of N in N 0.523 * [taylor]: Taking taylor expansion of 1.0 in N 0.565 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in (N) around 0 0.565 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 0.565 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 0.565 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 0.565 * [taylor]: Taking taylor expansion of 1/3 in N 0.565 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 0.565 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.565 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.565 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.565 * [taylor]: Taking taylor expansion of N in N 0.565 * [taylor]: Taking taylor expansion of 1.0 in N 0.566 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 N) 1.0) 2) 1/3) in N 0.566 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2)))) in N 0.566 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ (/ 1 N) 1.0) 2))) in N 0.566 * [taylor]: Taking taylor expansion of 1/3 in N 0.566 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 N) 1.0) 2)) in N 0.566 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 0.566 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.566 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.566 * [taylor]: Taking taylor expansion of N in N 0.567 * [taylor]: Taking taylor expansion of 1.0 in N 0.591 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in (N) around 0 0.591 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 0.591 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 0.591 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 0.591 * [taylor]: Taking taylor expansion of 1/3 in N 0.591 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 0.591 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.591 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.591 * [taylor]: Taking taylor expansion of 1.0 in N 0.591 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.591 * [taylor]: Taking taylor expansion of N in N 0.593 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 N)) 2) 1/3) in N 0.593 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2)))) in N 0.593 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 N)) 2))) in N 0.593 * [taylor]: Taking taylor expansion of 1/3 in N 0.593 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 N)) 2)) in N 0.593 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 0.593 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.593 * [taylor]: Taking taylor expansion of 1.0 in N 0.593 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.593 * [taylor]: Taking taylor expansion of N in N 0.625 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 0.625 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.625 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.625 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.625 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.625 * [taylor]: Taking taylor expansion of 1/3 in N 0.625 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.626 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.626 * [taylor]: Taking taylor expansion of N in N 0.626 * [taylor]: Taking taylor expansion of 1.0 in N 0.628 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.628 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.628 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.628 * [taylor]: Taking taylor expansion of 1/3 in N 0.628 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.628 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.628 * [taylor]: Taking taylor expansion of N in N 0.628 * [taylor]: Taking taylor expansion of 1.0 in N 0.662 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.662 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.662 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.662 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.662 * [taylor]: Taking taylor expansion of 1/3 in N 0.662 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.662 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.662 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.662 * [taylor]: Taking taylor expansion of N in N 0.662 * [taylor]: Taking taylor expansion of 1.0 in N 0.663 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.663 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.663 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.663 * [taylor]: Taking taylor expansion of 1/3 in N 0.663 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.663 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.663 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.663 * [taylor]: Taking taylor expansion of N in N 0.663 * [taylor]: Taking taylor expansion of 1.0 in N 0.688 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.688 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.688 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.688 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.688 * [taylor]: Taking taylor expansion of 1/3 in N 0.688 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.688 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.688 * [taylor]: Taking taylor expansion of 1.0 in N 0.688 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.688 * [taylor]: Taking taylor expansion of N in N 0.690 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.690 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.690 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.690 * [taylor]: Taking taylor expansion of 1/3 in N 0.690 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.690 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.690 * [taylor]: Taking taylor expansion of 1.0 in N 0.690 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.690 * [taylor]: Taking taylor expansion of N in N 0.715 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 0.716 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.716 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.716 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.716 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.716 * [taylor]: Taking taylor expansion of 1/3 in N 0.716 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.716 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.716 * [taylor]: Taking taylor expansion of N in N 0.716 * [taylor]: Taking taylor expansion of 1.0 in N 0.718 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.718 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.718 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.718 * [taylor]: Taking taylor expansion of 1/3 in N 0.718 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.718 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.718 * [taylor]: Taking taylor expansion of N in N 0.718 * [taylor]: Taking taylor expansion of 1.0 in N 0.752 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.753 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.753 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.753 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.753 * [taylor]: Taking taylor expansion of 1/3 in N 0.753 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.753 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.753 * [taylor]: Taking taylor expansion of N in N 0.753 * [taylor]: Taking taylor expansion of 1.0 in N 0.754 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.754 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.754 * [taylor]: Taking taylor expansion of 1/3 in N 0.754 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.754 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.754 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.754 * [taylor]: Taking taylor expansion of N in N 0.754 * [taylor]: Taking taylor expansion of 1.0 in N 0.779 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.779 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.779 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.779 * [taylor]: Taking taylor expansion of 1/3 in N 0.779 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.779 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.779 * [taylor]: Taking taylor expansion of 1.0 in N 0.779 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.779 * [taylor]: Taking taylor expansion of N in N 0.781 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.781 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.781 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.781 * [taylor]: Taking taylor expansion of 1/3 in N 0.781 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.781 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.781 * [taylor]: Taking taylor expansion of 1.0 in N 0.781 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.781 * [taylor]: Taking taylor expansion of N in N 0.806 * * * [progress]: simplifying candidates 0.808 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (+ 1/3 1/3) (+ 1 1) (* (+ N 1.0) (+ N 1.0)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (+ 1 1) (+ (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (exp (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (+ N 1.0) (+ N 1.0)) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (- N 1.0)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* 1 1) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* 2 1/3) (* 2 1) (* (cbrt (+ N 1.0)) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (+ N 1.0)) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) (cbrt 1)) (* (cbrt (+ N 1.0)) (cbrt 1)) (* (cbrt (+ N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (* (cbrt (+ N 1.0)) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (+ N 1.0)) 1) (* (cbrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (sqrt (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (+ N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ N 1.0))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt 1) (cbrt (+ N 1.0)) (cbrt 1) (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (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 1.0 1/3) (+ (* 0.6666666666666666 (* N (pow 1.0 1/3))) (* 0.5555555555555556 (* (pow N 2) (pow 1.0 1/3))))) (* 0.6666666666666666 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (pow (/ -1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (pow 1.0 1/3) (+ (* 0.3333333333333333 (* N (pow 1.0 1/3))) (* 0.05555555555555555 (* (pow N 2) (pow 1.0 1/3))))) (* 1/6 (* (pow N 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 0.814 * * [simplify]: iteration 0 : 330 enodes (cost 806 ) 0.819 * * [simplify]: iteration 1 : 1079 enodes (cost 745 ) 0.843 * * [simplify]: iteration 2 : 4794 enodes (cost 696 ) 0.960 * * [simplify]: iteration 3 : 5001 enodes (cost 692 ) 0.964 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (pow (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N)))) 3) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (+ N 1.0)) N))))) 2/3 2 (pow (cbrt (+ N 1.0)) 6) (pow (sqrt (cbrt (+ N 1.0))) 4) 2 (* 2 (log (cbrt (+ N 1.0)))) (* 2 (log (cbrt (+ N 1.0)))) (exp (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (pow (cbrt (+ N 1.0)) 6) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (pow (cbrt (+ N 1.0)) 6) (fabs (cbrt (+ N 1.0))) (fabs (cbrt (+ N 1.0))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- N 1.0))) (* (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (- N 1.0)) (cbrt (- N 1.0))) (* (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) (pow (cbrt (cbrt (+ N 1.0))) 4) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (+ N 1.0)) (cbrt (+ N 1.0)) 1 (pow (sqrt (cbrt (+ N 1.0))) 4) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (* (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0)))) (cbrt (+ N 1.0)) (cbrt (+ N 1.0)) 2/3 2 (* (cbrt (+ N 1.0)) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (* (cbrt (+ N 1.0)) (cbrt (sqrt (+ N 1.0)))) (cbrt (+ N 1.0)) (cbrt (+ N 1.0)) (pow (cbrt (cbrt (+ N 1.0))) 5) (pow (sqrt (cbrt (+ N 1.0))) 3) (cbrt (+ N 1.0)) (pow (cbrt (cbrt (+ N 1.0))) 4) (* (cbrt (+ N 1.0)) (cbrt (sqrt (+ N 1.0)))) (pow (sqrt (cbrt (+ N 1.0))) 4) (pow (sqrt (cbrt (+ N 1.0))) 4) (pow (cbrt (cbrt (+ N 1.0))) 4) (pow (sqrt (cbrt (+ N 1.0))) 3) (pow (sqrt (cbrt (+ N 1.0))) 4) (* (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (+ N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (* (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3)))) (* (cbrt (+ N 1.0)) (cbrt (- (* N N) (* 1.0 1.0)))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) 1 (cbrt (+ N 1.0)) 1 (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0))) (exp (cbrt (+ N 1.0))) (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0))) 1 (cbrt (+ N 1.0)) 1 (cbrt (+ N 1.0)) (cbrt (+ (pow N 3) (pow 1.0 3))) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (- (* N N) (* 1.0 1.0))) (cbrt (- N 1.0)) (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0))) (+ N 1.0) (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt (+ N 1.0))) (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) (- (* (pow 1.0 1/3) 0.5555555555555556) (* (pow (/ 1 (pow 1.0 5)) 1/3) 0.6666666666666666))) (* (+ (* 0.6666666666666666 N) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (pow (/ -1 N) -2/3) (* 0.6666666666666666 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (+ (* (pow N 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6))) (* (+ (* 0.3333333333333333 N) 1) (pow 1.0 1/3))) (- (+ (pow (/ 1 N) -1/3) (* 0.3333333333333333 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) (- (+ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 0.964 * * * [progress]: adding candidates to table 1.203 * * [progress]: iteration 4 / 4 1.203 * * * [progress]: picking best candidate 1.210 * * * * [pick]: Picked # 1.210 * * * [progress]: localizing error 1.217 * * * [progress]: generating rewritten candidates 1.218 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.218 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.230 * * * [progress]: generating series expansions 1.230 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.231 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 1.231 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.231 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.231 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 1.231 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.232 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.232 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 1.232 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.232 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.233 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.233 * [approximate]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in (N) around 0 1.233 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 1.233 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.233 * [taylor]: Taking taylor expansion of N in N 1.233 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 1.233 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.233 * [taylor]: Taking taylor expansion of 1.0 in N 1.233 * [taylor]: Taking taylor expansion of N in N 1.233 * [taylor]: Taking taylor expansion of 1 in N 1.233 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 1.233 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.233 * [taylor]: Taking taylor expansion of N in N 1.233 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 1.233 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 1.233 * [taylor]: Taking taylor expansion of 1.0 in N 1.233 * [taylor]: Taking taylor expansion of N in N 1.233 * [taylor]: Taking taylor expansion of 1 in N 1.237 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in (N) around 0 1.238 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 1.238 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.238 * [taylor]: Taking taylor expansion of 1.0 in N 1.238 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.238 * [taylor]: Taking taylor expansion of N in N 1.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 1.238 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.238 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.238 * [taylor]: Taking taylor expansion of N in N 1.238 * [taylor]: Taking taylor expansion of 1 in N 1.238 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 1.238 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.238 * [taylor]: Taking taylor expansion of 1.0 in N 1.238 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.239 * [taylor]: Taking taylor expansion of N in N 1.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 1.239 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.239 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.239 * [taylor]: Taking taylor expansion of N in N 1.239 * [taylor]: Taking taylor expansion of 1 in N 1.244 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in (N) around 0 1.244 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 1.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 1.244 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.244 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.244 * [taylor]: Taking taylor expansion of N in N 1.245 * [taylor]: Taking taylor expansion of 1 in N 1.245 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.245 * [taylor]: Taking taylor expansion of 1.0 in N 1.245 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.245 * [taylor]: Taking taylor expansion of N in N 1.245 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 1.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 1.245 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.245 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.245 * [taylor]: Taking taylor expansion of N in N 1.246 * [taylor]: Taking taylor expansion of 1 in N 1.246 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 1.246 * [taylor]: Taking taylor expansion of 1.0 in N 1.246 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.246 * [taylor]: Taking taylor expansion of N in N 1.252 * * * [progress]: simplifying candidates 1.252 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (exp (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (* (cbrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (cbrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) (cbrt (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)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (* (exp (pow N 2)) (* (exp (* 1.0 N)) (exp 1))) (* (exp (pow N 2)) (exp (+ (* 1.0 N) 1))) (log (+ (pow N 2) (+ (* 1.0 N) 1))) (exp (+ (pow N 2) (+ (* 1.0 N) 1))) (* (cbrt (+ (pow N 2) (+ (* 1.0 N) 1))) (cbrt (+ (pow N 2) (+ (* 1.0 N) 1)))) (cbrt (+ (pow N 2) (+ (* 1.0 N) 1))) (* (* (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (+ (* 1.0 N) 1))) (sqrt (+ (pow N 2) (+ (* 1.0 N) 1))) (sqrt (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow (pow N 2) 3) (pow (+ (* 1.0 N) 1) 3)) (+ (* (pow N 2) (pow N 2)) (- (* (+ (* 1.0 N) 1) (+ (* 1.0 N) 1)) (* (pow N 2) (+ (* 1.0 N) 1)))) (- (* (pow N 2) (pow N 2)) (* (+ (* 1.0 N) 1) (+ (* 1.0 N) 1))) (- (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (* 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) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) 1.255 * * [simplify]: iteration 0 : 114 enodes (cost 181 ) 1.258 * * [simplify]: iteration 1 : 447 enodes (cost 156 ) 1.269 * * [simplify]: iteration 2 : 2686 enodes (cost 155 ) 1.324 * * [simplify]: iteration 3 : 5001 enodes (cost 152 ) 1.326 * [simplify]: Simplified to: (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (exp (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (* (cbrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (cbrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) (cbrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (pow E (+ 1 (* N (+ 1.0 N)))) (pow E (+ 1 (* N (+ 1.0 N)))) (log (+ (pow N 2) (+ (* 1.0 N) 1))) (pow E (+ 1 (* N (+ 1.0 N)))) (* (cbrt (+ (pow N 2) (+ (* 1.0 N) 1))) (cbrt (+ (pow N 2) (+ (* 1.0 N) 1)))) (cbrt (+ (pow N 2) (+ (* 1.0 N) 1))) (pow (+ 1 (* N (+ 1.0 N))) 3) (sqrt (+ (pow N 2) (+ (* 1.0 N) 1))) (sqrt (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow (pow N 2) 3) (pow (+ (* 1.0 N) 1) 3)) (+ (* (+ (* 1.0 N) 1) (- (+ (* 1.0 N) 1) (pow N 2))) (pow N 4)) (+ (pow N 4) (- (* (+ (* 1.0 N) 1) (+ (* 1.0 N) 1)))) (- (pow N 2) (+ (* 1.0 N) 1)) (+ 1 (* N (+ 1.0 N))) (* N (+ 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))) (+ 1 (* N (+ 1.0 N))) (+ 1 (* N (+ 1.0 N))) (+ 1 (* N (+ 1.0 N))) 1.326 * * * [progress]: adding candidates to table 1.381 * [progress]: [Phase 3 of 3] Extracting. 1.381 * * [regime]: Finding splitpoints for: (# # # #) 1.382 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.382 * * * * [regimes]: Trying to branch on N from (# # # #) 1.402 * * * [regime]: Found split indices: #