6.854 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.031 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.032 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.033 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.034 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.042 * * * [progress]: generating rewritten candidates 0.042 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.045 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.047 * * * [progress]: generating series expansions 0.047 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.047 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.047 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.047 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.047 * [taylor]: Taking taylor expansion of (atan N) in N 0.047 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.047 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.047 * [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 0.054 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.054 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.054 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.054 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.054 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.054 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.054 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.057 * * * * [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 0.058 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.058 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.058 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.059 * * * [progress]: simplifying candidates 0.059 * [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)) 0.062 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.064 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.067 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.072 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.085 * * [simplify]: iteration 4 : 2491 enodes (cost 142 ) 0.134 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.136 * [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)) 0.136 * * * [progress]: adding candidates to table 0.188 * * [progress]: iteration 2 / 4 0.188 * * * [progress]: picking best candidate 0.189 * * * * [pick]: Picked # 0.189 * * * [progress]: localizing error 0.195 * * * [progress]: generating rewritten candidates 0.195 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.196 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.202 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.206 * * * [progress]: generating series expansions 0.206 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.206 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.206 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.206 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.207 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.207 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.207 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.207 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.207 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.208 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.208 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.208 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.208 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [taylor]: Taking taylor expansion of 1.0 in N 0.208 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [taylor]: Taking taylor expansion of 1.0 in N 0.218 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.218 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.218 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.218 * [taylor]: Taking taylor expansion of N in N 0.218 * [taylor]: Taking taylor expansion of 1.0 in N 0.218 * [taylor]: Taking taylor expansion of N in N 0.219 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.219 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.219 * [taylor]: Taking taylor expansion of 1.0 in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.234 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.234 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.234 * [taylor]: Taking taylor expansion of -1 in N 0.234 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.234 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.234 * [taylor]: Taking taylor expansion of 1.0 in N 0.234 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.234 * [taylor]: Taking taylor expansion of N in N 0.234 * [taylor]: Taking taylor expansion of N in N 0.235 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.235 * [taylor]: Taking taylor expansion of -1 in N 0.235 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.235 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.235 * [taylor]: Taking taylor expansion of 1.0 in N 0.235 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.236 * [taylor]: Taking taylor expansion of N in N 0.236 * [taylor]: Taking taylor expansion of N in N 0.254 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.254 * [approximate]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in (N) around 0 0.254 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.254 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.254 * [taylor]: Taking taylor expansion of N in N 0.254 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.254 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.254 * [taylor]: Taking taylor expansion of 1.0 in N 0.254 * [taylor]: Taking taylor expansion of N in N 0.254 * [taylor]: Taking taylor expansion of 1 in N 0.254 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.255 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.255 * [taylor]: Taking taylor expansion of N in N 0.255 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.255 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.255 * [taylor]: Taking taylor expansion of 1.0 in N 0.255 * [taylor]: Taking taylor expansion of N in N 0.255 * [taylor]: Taking taylor expansion of 1 in N 0.258 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in (N) around 0 0.258 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.258 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.258 * [taylor]: Taking taylor expansion of 1.0 in N 0.258 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.258 * [taylor]: Taking taylor expansion of N in N 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.259 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.259 * [taylor]: Taking taylor expansion of N in N 0.259 * [taylor]: Taking taylor expansion of 1 in N 0.259 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.259 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.259 * [taylor]: Taking taylor expansion of 1.0 in N 0.259 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.259 * [taylor]: Taking taylor expansion of N in N 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.260 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.260 * [taylor]: Taking taylor expansion of N in N 0.260 * [taylor]: Taking taylor expansion of 1 in N 0.265 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in (N) around 0 0.265 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.265 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.265 * [taylor]: Taking taylor expansion of N in N 0.265 * [taylor]: Taking taylor expansion of 1 in N 0.265 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.266 * [taylor]: Taking taylor expansion of 1.0 in N 0.266 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.266 * [taylor]: Taking taylor expansion of N in N 0.266 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.266 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.266 * [taylor]: Taking taylor expansion of N in N 0.266 * [taylor]: Taking taylor expansion of 1 in N 0.266 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.266 * [taylor]: Taking taylor expansion of 1.0 in N 0.266 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.266 * [taylor]: Taking taylor expansion of N in N 0.272 * * * [progress]: simplifying candidates 0.273 * [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)) 0.277 * * [simplify]: iteration 0 : 177 enodes (cost 222 ) 0.282 * * [simplify]: iteration 1 : 766 enodes (cost 193 ) 0.301 * * [simplify]: iteration 2 : 4572 enodes (cost 193 ) 0.385 * * [simplify]: iteration 3 : 5001 enodes (cost 193 ) 0.386 * [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)) 0.387 * * * [progress]: adding candidates to table 0.468 * * [progress]: iteration 3 / 4 0.468 * * * [progress]: picking best candidate 0.475 * * * * [pick]: Picked # 0.475 * * * [progress]: localizing error 0.485 * * * [progress]: generating rewritten candidates 0.485 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.486 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 0.489 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 0.492 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 0.495 * * * [progress]: generating series expansions 0.496 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.496 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.496 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.496 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.497 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.497 * [taylor]: Taking taylor expansion of (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 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.498 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.498 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.499 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 0.499 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.499 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.499 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.499 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.499 * [taylor]: Taking taylor expansion of 1/3 in N 0.499 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.499 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.499 * [taylor]: Taking taylor expansion of N in N 0.499 * [taylor]: Taking taylor expansion of 1.0 in N 0.501 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.501 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.501 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.501 * [taylor]: Taking taylor expansion of 1/3 in N 0.501 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.501 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.501 * [taylor]: Taking taylor expansion of N in N 0.501 * [taylor]: Taking taylor expansion of 1.0 in N 0.542 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.542 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.542 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.542 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.542 * [taylor]: Taking taylor expansion of 1/3 in N 0.542 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.542 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.542 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.542 * [taylor]: Taking taylor expansion of N in N 0.542 * [taylor]: Taking taylor expansion of 1.0 in N 0.543 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.543 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.543 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.543 * [taylor]: Taking taylor expansion of 1/3 in N 0.543 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.543 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.543 * [taylor]: Taking taylor expansion of N in N 0.544 * [taylor]: Taking taylor expansion of 1.0 in N 0.564 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.564 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.564 * [taylor]: Taking taylor expansion of 1/3 in N 0.564 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.564 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.564 * [taylor]: Taking taylor expansion of 1.0 in N 0.564 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.564 * [taylor]: Taking taylor expansion of N in N 0.566 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.566 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.566 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.566 * [taylor]: Taking taylor expansion of 1/3 in N 0.566 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.566 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.566 * [taylor]: Taking taylor expansion of 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 0.592 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 0.592 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.592 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.592 * [taylor]: Taking taylor expansion of 1/3 in N 0.592 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.592 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.592 * [taylor]: Taking taylor expansion of N in N 0.592 * [taylor]: Taking taylor expansion of 1.0 in N 0.594 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.594 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.594 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.594 * [taylor]: Taking taylor expansion of 1/3 in N 0.594 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.594 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.594 * [taylor]: Taking taylor expansion of N in N 0.594 * [taylor]: Taking taylor expansion of 1.0 in N 0.635 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.635 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.635 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.635 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.635 * [taylor]: Taking taylor expansion of 1/3 in N 0.635 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.635 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.635 * [taylor]: Taking taylor expansion of N in N 0.636 * [taylor]: Taking taylor expansion of 1.0 in N 0.637 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.637 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.637 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.637 * [taylor]: Taking taylor expansion of 1/3 in N 0.637 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.637 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.637 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.637 * [taylor]: Taking taylor expansion of N in N 0.637 * [taylor]: Taking taylor expansion of 1.0 in N 0.656 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.656 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.656 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.656 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.656 * [taylor]: Taking taylor expansion of 1/3 in N 0.656 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.656 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.656 * [taylor]: Taking taylor expansion of 1.0 in N 0.656 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.656 * [taylor]: Taking taylor expansion of N in N 0.658 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.658 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.658 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.658 * [taylor]: Taking taylor expansion of 1/3 in N 0.658 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.658 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.658 * [taylor]: Taking taylor expansion of 1.0 in N 0.658 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.658 * [taylor]: Taking taylor expansion of N in N 0.682 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 0.682 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.682 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.682 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.682 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.683 * [taylor]: Taking taylor expansion of 1/3 in N 0.683 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.683 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.683 * [taylor]: Taking taylor expansion of N in N 0.683 * [taylor]: Taking taylor expansion of 1.0 in N 0.685 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.685 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.685 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.685 * [taylor]: Taking taylor expansion of 1/3 in N 0.685 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.685 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.685 * [taylor]: Taking taylor expansion of N in N 0.685 * [taylor]: Taking taylor expansion of 1.0 in N 0.727 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.727 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.727 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.727 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.727 * [taylor]: Taking taylor expansion of 1/3 in N 0.727 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.727 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.727 * [taylor]: Taking taylor expansion of N in N 0.727 * [taylor]: Taking taylor expansion of 1.0 in N 0.728 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.728 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.728 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.728 * [taylor]: Taking taylor expansion of 1/3 in N 0.728 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.728 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.728 * [taylor]: Taking taylor expansion of N in N 0.729 * [taylor]: Taking taylor expansion of 1.0 in N 0.747 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.747 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.747 * [taylor]: Taking taylor expansion of 1/3 in N 0.747 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.747 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.747 * [taylor]: Taking taylor expansion of 1.0 in N 0.747 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.747 * [taylor]: Taking taylor expansion of N in N 0.749 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.749 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.749 * [taylor]: Taking taylor expansion of 1/3 in N 0.749 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.749 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.749 * [taylor]: Taking taylor expansion of 1.0 in N 0.749 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.749 * [taylor]: Taking taylor expansion of N in N 0.774 * * * [progress]: simplifying candidates 0.775 * [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))))) (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))) (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) (+ (* 0.3333333333333333 (* 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)))) (- (+ (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)))) 0.780 * * [simplify]: iteration 0 : 198 enodes (cost 498 ) 0.783 * * [simplify]: iteration 1 : 513 enodes (cost 454 ) 0.792 * * [simplify]: iteration 2 : 1617 enodes (cost 445 ) 0.826 * * [simplify]: iteration 3 : 5002 enodes (cost 430 ) 0.829 * [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 (+ (pow N 2) (+ (* 1.0 N) 1))) 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))))) (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))) (+ 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))) (+ 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))) (+ 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) 0.05555555555555555) (* (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))) (- (* (pow N 1/6) (pow N 1/6)) (- (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)))) (+ (* (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))) (- (* (pow N 1/6) (pow N 1/6)) (- (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)))) (+ (* (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))) (- (* (pow N 1/6) (pow N 1/6)) (- (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) (pow N 2))) (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 N))))) N)))) 0.829 * * * [progress]: adding candidates to table 1.026 * * [progress]: iteration 4 / 4 1.027 * * * [progress]: picking best candidate 1.033 * * * * [pick]: Picked # 1.033 * * * [progress]: localizing error 1.041 * * * [progress]: generating rewritten candidates 1.041 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.043 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.044 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.050 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.053 * * * [progress]: generating series expansions 1.053 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.053 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 1.053 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 1.053 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.054 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 1.054 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.058 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 1.058 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 1.058 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.059 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 1.059 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.063 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 1.063 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 1.063 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.064 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 1.064 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.068 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.068 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 1.068 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 1.069 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.069 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 1.069 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.073 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 1.073 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 1.073 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.074 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 1.074 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.078 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 1.078 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 1.078 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.078 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 1.079 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.083 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.083 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 1.083 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.083 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.088 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 1.088 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.089 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.089 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 1.089 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.090 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.090 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.090 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 1.090 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.091 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.091 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 1.091 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.091 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.092 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 1.092 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.092 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.093 * * * [progress]: simplifying candidates 1.094 * [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))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (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))))) (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (+ 1 1) (+ (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (log (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (exp (* (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)))))) (* (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (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))))))) (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 (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)))) (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (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))))) (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 (* (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))))) (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 (sqrt (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 (sqrt (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 1)) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (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 (sqrt (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 (sqrt (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 1) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (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 (sqrt (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 (sqrt (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 (sqrt (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 (sqrt (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 (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (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 (* (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 (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt 1)) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 1) (* (cbrt (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))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (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 (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))))) (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))) 1.100 * * [simplify]: iteration 0 : 110 enodes (cost 649 ) 1.103 * * [simplify]: iteration 1 : 391 enodes (cost 565 ) 1.115 * * [simplify]: iteration 2 : 2248 enodes (cost 539 ) 1.196 * * [simplify]: iteration 3 : 5001 enodes (cost 520 ) 1.200 * [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))))) 1 1 2 1 1 (pow (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 4) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (pow (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 4) 2 (log (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)))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (pow (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 4) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4) (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)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 1 (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)))) 1 (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)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 1 2 1 (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 5) (* (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (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)))) (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4) (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))) 1.200 * * * [progress]: adding candidates to table 1.332 * [progress]: [Phase 3 of 3] Extracting. 1.332 * * [regime]: Finding splitpoints for: (# # # # # # # #) 1.333 * * * [regime-changes]: Trying 2 branch expressions: ((- (atan (+ N 1.0)) (atan N)) N) 1.333 * * * * [regimes]: Trying to branch on (- (atan (+ N 1.0)) (atan N)) from (# # # # # # # #) 1.366 * * * * [regimes]: Trying to branch on N from (# # # # # # # #) 1.391 * * * [regime]: Found split indices: #