2.649 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.028 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.028 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.029 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.030 * * [simplify]: iteration done : 10 enodes (cost 7 ) 0.030 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.043 * * * [progress]: generating rewritten candidates 0.043 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.045 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.046 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.046 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.046 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.048 * [taylor]: Taking taylor expansion of (atan N) in N 0.048 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.048 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.048 * [taylor]: Taking taylor expansion of (atan N) in N 0.051 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.051 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.051 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.051 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.051 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.055 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.055 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.055 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.055 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.058 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.058 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.058 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.058 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.058 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.058 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.058 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.059 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.059 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.059 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.059 * * * [progress]: simplifying candidates 0.060 * [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)) 0.061 * * [simplify]: iteration 0 : 40 enodes (cost 271 ) 0.067 * * [simplify]: iteration 1 : 76 enodes (cost 259 ) 0.077 * * [simplify]: iteration 2 : 144 enodes (cost 245 ) 0.095 * * [simplify]: iteration 3 : 242 enodes (cost 241 ) 0.134 * * [simplify]: iteration 4 : 469 enodes (cost 239 ) 0.225 * * [simplify]: iteration 5 : 1215 enodes (cost 239 ) 0.628 * * [simplify]: iteration 6 : 4478 enodes (cost 239 ) 2.701 * * [simplify]: iteration done : 5000 enodes (cost 239 ) 2.701 * [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) (atan N)) (* (atan (+ N 1.0)) (+ (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))) (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)) 2.701 * * * [progress]: adding candidates to table 2.745 * * [progress]: iteration 2 / 4 2.745 * * * [progress]: picking best candidate 2.746 * * * * [pick]: Picked # 2.746 * * * [progress]: localizing error 2.751 * * * [progress]: generating rewritten candidates 2.751 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.752 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 2.762 * * * [progress]: generating series expansions 2.762 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.762 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 2.762 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 2.762 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 2.763 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 2.763 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 2.763 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 2.764 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 2.764 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.764 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 2.764 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 2.764 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 2.764 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.764 * [taylor]: Taking taylor expansion of N in N 2.764 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.764 * [taylor]: Taking taylor expansion of N in N 2.764 * [taylor]: Taking taylor expansion of 1.0 in N 2.764 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 2.765 * [taylor]: Taking taylor expansion of N in N 2.765 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.765 * [taylor]: Taking taylor expansion of N in N 2.765 * [taylor]: Taking taylor expansion of 1.0 in N 2.773 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 2.773 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.774 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.774 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.774 * [taylor]: Taking taylor expansion of N in N 2.774 * [taylor]: Taking taylor expansion of 1.0 in N 2.774 * [taylor]: Taking taylor expansion of N in N 2.774 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 2.774 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.774 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.774 * [taylor]: Taking taylor expansion of N in N 2.775 * [taylor]: Taking taylor expansion of 1.0 in N 2.775 * [taylor]: Taking taylor expansion of N in N 2.785 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 2.785 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.785 * [taylor]: Taking taylor expansion of -1 in N 2.785 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.785 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.785 * [taylor]: Taking taylor expansion of 1.0 in N 2.785 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.785 * [taylor]: Taking taylor expansion of N in N 2.785 * [taylor]: Taking taylor expansion of N in N 2.786 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 2.786 * [taylor]: Taking taylor expansion of -1 in N 2.786 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 2.786 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.786 * [taylor]: Taking taylor expansion of 1.0 in N 2.786 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.786 * [taylor]: Taking taylor expansion of N in N 2.786 * [taylor]: Taking taylor expansion of N in N 2.804 * * * [progress]: simplifying candidates 2.805 * [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)) 2.806 * * [simplify]: iteration 0 : 55 enodes (cost 317 ) 2.817 * * [simplify]: iteration 1 : 122 enodes (cost 312 ) 2.840 * * [simplify]: iteration 2 : 411 enodes (cost 264 )