16.163 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.032 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.034 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.035 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.036 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.036 * [simplify]: Simplified to: (- (atan (+ N 1.0)) (atan N)) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.045 * * * [progress]: generating rewritten candidates 0.045 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.048 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.049 * * * [progress]: generating series expansions 0.050 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.050 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.050 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.050 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.050 * [taylor]: Taking taylor expansion of (atan N) in N 0.050 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.050 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.050 * [taylor]: Taking taylor expansion of (atan N) in N 0.060 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.060 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.060 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.060 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.060 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.060 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.060 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.065 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.065 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.065 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.065 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.065 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.065 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.065 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.069 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.069 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.070 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.070 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.070 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.070 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.070 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.070 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.070 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.070 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.070 * * * [progress]: simplifying candidates 0.071 * [simplify]: Simplifying using # : (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (neg (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (neg (atan N)) (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)) 0.074 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.076 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.078 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.083 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.096 * * [simplify]: iteration 4 : 2447 enodes (cost 142 ) 0.143 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.144 * [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)) 0.144 * * * [progress]: adding candidates to table 0.182 * * [progress]: iteration 2 / 4 0.182 * * * [progress]: picking best candidate 0.188 * * * * [pick]: Picked # 0.188 * * * [progress]: localizing error 0.194 * * * [progress]: generating rewritten candidates 0.194 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.195 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.205 * * * [progress]: generating series expansions 0.205 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.205 * [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 0.206 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.206 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.206 * [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 0.207 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.208 * * * * [progress]: [ 2 / 2 ] 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 0.220 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.220 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.220 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.220 * [taylor]: Taking taylor expansion of N in N 0.221 * [taylor]: Taking taylor expansion of 1.0 in N 0.221 * [taylor]: Taking taylor expansion of N in N 0.221 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.221 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.221 * [taylor]: Taking taylor expansion of N in N 0.222 * [taylor]: Taking taylor expansion of 1.0 in N 0.222 * [taylor]: Taking taylor expansion of N in N 0.235 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 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 0.235 * [taylor]: Taking taylor expansion of N in N 0.236 * [taylor]: Taking taylor expansion of N in N 0.237 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.237 * [taylor]: Taking taylor expansion of -1 in N 0.237 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.237 * [taylor]: Taking taylor expansion of 1.0 in N 0.237 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.237 * [taylor]: Taking taylor expansion of N in N 0.237 * [taylor]: Taking taylor expansion of N in N 0.261 * * * [progress]: simplifying candidates 0.262 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ N 1.0) N) (+ (log (+ N 1.0)) (log N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (* (+ N 1.0) 1) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) 0.265 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.268 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.277 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.315 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.316 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ N 1.0) N) (log (* (+ N 1.0) N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (pow (* (+ N 1.0) N) 3) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (pow (* (+ N 1.0) N) 3) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (+ N 1.0) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ N 1.0) N) 0.316 * * * [progress]: adding candidates to table 0.386 * * [progress]: iteration 3 / 4 0.386 * * * [progress]: picking best candidate 0.407 * * * * [pick]: Picked # 0.407 * * * [progress]: localizing error 0.416 * * * [progress]: generating rewritten candidates 0.416 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.417 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 0.420 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 0.423 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 1) 0.426 * * * [progress]: generating series expansions 0.426 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.427 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.427 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.427 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.428 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.428 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.428 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.429 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.429 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.429 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.429 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 0.429 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.429 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.429 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.429 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.429 * [taylor]: Taking taylor expansion of 1/3 in N 0.429 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.430 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.430 * [taylor]: Taking taylor expansion of N in N 0.430 * [taylor]: Taking taylor expansion of 1.0 in N 0.433 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.433 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.433 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.433 * [taylor]: Taking taylor expansion of 1/3 in N 0.433 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.433 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.433 * [taylor]: Taking taylor expansion of N in N 0.433 * [taylor]: Taking taylor expansion of 1.0 in N 0.480 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.480 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.480 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.480 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.480 * [taylor]: Taking taylor expansion of 1/3 in N 0.480 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.480 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.480 * [taylor]: Taking taylor expansion of N in N 0.480 * [taylor]: Taking taylor expansion of 1.0 in N 0.481 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.481 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.481 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.481 * [taylor]: Taking taylor expansion of 1/3 in N 0.482 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.482 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.482 * [taylor]: Taking taylor expansion of N in N 0.482 * [taylor]: Taking taylor expansion of 1.0 in N 0.505 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.505 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.505 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.505 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.505 * [taylor]: Taking taylor expansion of 1/3 in N 0.505 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.505 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.505 * [taylor]: Taking taylor expansion of 1.0 in N 0.505 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.505 * [taylor]: Taking taylor expansion of N in N 0.508 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.508 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.508 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.508 * [taylor]: Taking taylor expansion of 1/3 in N 0.508 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.508 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.508 * [taylor]: Taking taylor expansion of 1.0 in N 0.508 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.508 * [taylor]: Taking taylor expansion of N in N 0.538 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 0.539 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.539 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.539 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.539 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.539 * [taylor]: Taking taylor expansion of 1/3 in N 0.539 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.539 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.539 * [taylor]: Taking taylor expansion of N in N 0.539 * [taylor]: Taking taylor expansion of 1.0 in N 0.541 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.541 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.541 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.541 * [taylor]: Taking taylor expansion of 1/3 in N 0.541 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.541 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.541 * [taylor]: Taking taylor expansion of N in N 0.541 * [taylor]: Taking taylor expansion of 1.0 in N 0.586 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.586 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.587 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.587 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.587 * [taylor]: Taking taylor expansion of 1/3 in N 0.587 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.587 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.587 * [taylor]: Taking taylor expansion of N in N 0.587 * [taylor]: Taking taylor expansion of 1.0 in N 0.588 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.588 * [taylor]: Taking taylor expansion of 1/3 in N 0.588 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.588 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.588 * [taylor]: Taking taylor expansion of N in N 0.589 * [taylor]: Taking taylor expansion of 1.0 in N 0.611 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.611 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.611 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.611 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.611 * [taylor]: Taking taylor expansion of 1/3 in N 0.611 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.611 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.611 * [taylor]: Taking taylor expansion of 1.0 in N 0.611 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.611 * [taylor]: Taking taylor expansion of N in N 0.614 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.614 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.614 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.614 * [taylor]: Taking taylor expansion of 1/3 in N 0.614 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.614 * [taylor]: Taking taylor expansion of 1.0 in N 0.614 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.614 * [taylor]: Taking taylor expansion of N in N 0.647 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 1) 0.648 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in (N) around 0 0.648 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.648 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.648 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.648 * [taylor]: Taking taylor expansion of 1/3 in N 0.648 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.648 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.648 * [taylor]: Taking taylor expansion of N in N 0.648 * [taylor]: Taking taylor expansion of 1.0 in N 0.650 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 0.650 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 0.650 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 0.650 * [taylor]: Taking taylor expansion of 1/3 in N 0.650 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.650 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.650 * [taylor]: Taking taylor expansion of N in N 0.650 * [taylor]: Taking taylor expansion of 1.0 in N 0.692 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in (N) around 0 0.692 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.692 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.692 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.692 * [taylor]: Taking taylor expansion of 1/3 in N 0.692 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.692 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.692 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.692 * [taylor]: Taking taylor expansion of N in N 0.693 * [taylor]: Taking taylor expansion of 1.0 in N 0.694 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 0.694 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 0.694 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 0.694 * [taylor]: Taking taylor expansion of 1/3 in N 0.694 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.694 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.694 * [taylor]: Taking taylor expansion of N in N 0.697 * [taylor]: Taking taylor expansion of 1.0 in N 0.720 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in (N) around 0 0.720 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.720 * [taylor]: Taking taylor expansion of 1/3 in N 0.720 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.720 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.720 * [taylor]: Taking taylor expansion of 1.0 in N 0.720 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.720 * [taylor]: Taking taylor expansion of N in N 0.723 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/3) in N 0.723 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 N))))) in N 0.723 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 N)))) in N 0.723 * [taylor]: Taking taylor expansion of 1/3 in N 0.723 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.723 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.723 * [taylor]: Taking taylor expansion of 1.0 in N 0.723 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.723 * [taylor]: Taking taylor expansion of N in N 0.754 * * * [progress]: simplifying candidates 0.755 * [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)))) 0.759 * * [simplify]: iteration 0 : 198 enodes (cost 498 ) 0.762 * * [simplify]: iteration 1 : 513 enodes (cost 454 ) 0.771 * * [simplify]: iteration 2 : 1623 enodes (cost 445 ) 0.804 * * [simplify]: iteration 3 : 5001 enodes (cost 430 ) 0.807 * [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)))) 0.808 * * * [progress]: adding candidates to table 1.165 * * [progress]: iteration 4 / 4 1.165 * * * [progress]: picking best candidate 1.184 * * * * [pick]: Picked # 1.184 * * * [progress]: localizing error 1.197 * * * [progress]: generating rewritten candidates 1.197 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.198 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 2) 1.201 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1 1 2) 1.204 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2 1 1 1) 1.209 * * * [progress]: generating series expansions 1.209 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.210 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 1.210 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.210 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.211 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 1.211 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.211 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.214 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 1.214 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.214 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.215 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 2) 1.215 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/9) in (N) around 0 1.215 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/9) in N 1.215 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ N 1.0)))) in N 1.215 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ N 1.0))) in N 1.215 * [taylor]: Taking taylor expansion of 1/9 in N 1.215 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.215 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.215 * [taylor]: Taking taylor expansion of N in N 1.215 * [taylor]: Taking taylor expansion of 1.0 in N 1.218 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/9) in N 1.218 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ N 1.0)))) in N 1.218 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ N 1.0))) in N 1.218 * [taylor]: Taking taylor expansion of 1/9 in N 1.218 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.218 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.218 * [taylor]: Taking taylor expansion of N in N 1.218 * [taylor]: Taking taylor expansion of 1.0 in N 1.259 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/9) in (N) around 0 1.259 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/9) in N 1.259 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ (/ 1 N) 1.0)))) in N 1.259 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ (/ 1 N) 1.0))) in N 1.259 * [taylor]: Taking taylor expansion of 1/9 in N 1.259 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.259 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.259 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.259 * [taylor]: Taking taylor expansion of N in N 1.260 * [taylor]: Taking taylor expansion of 1.0 in N 1.261 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/9) in N 1.261 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ (/ 1 N) 1.0)))) in N 1.261 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ (/ 1 N) 1.0))) in N 1.261 * [taylor]: Taking taylor expansion of 1/9 in N 1.261 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.261 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.261 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.261 * [taylor]: Taking taylor expansion of N in N 1.261 * [taylor]: Taking taylor expansion of 1.0 in N 1.284 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/9) in (N) around 0 1.284 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/9) in N 1.284 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (- 1.0 (/ 1 N))))) in N 1.284 * [taylor]: Taking taylor expansion of (* 1/9 (log (- 1.0 (/ 1 N)))) in N 1.284 * [taylor]: Taking taylor expansion of 1/9 in N 1.284 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.284 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.284 * [taylor]: Taking taylor expansion of 1.0 in N 1.284 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.284 * [taylor]: Taking taylor expansion of N in N 1.289 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/9) in N 1.289 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (- 1.0 (/ 1 N))))) in N 1.289 * [taylor]: Taking taylor expansion of (* 1/9 (log (- 1.0 (/ 1 N)))) in N 1.289 * [taylor]: Taking taylor expansion of 1/9 in N 1.289 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.289 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.289 * [taylor]: Taking taylor expansion of 1.0 in N 1.289 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.289 * [taylor]: Taking taylor expansion of N in N 1.319 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1 1 2) 1.319 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/9) in (N) around 0 1.319 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/9) in N 1.319 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ N 1.0)))) in N 1.319 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ N 1.0))) in N 1.319 * [taylor]: Taking taylor expansion of 1/9 in N 1.319 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.319 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.319 * [taylor]: Taking taylor expansion of N in N 1.319 * [taylor]: Taking taylor expansion of 1.0 in N 1.322 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/9) in N 1.322 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ N 1.0)))) in N 1.322 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ N 1.0))) in N 1.322 * [taylor]: Taking taylor expansion of 1/9 in N 1.322 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.322 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.322 * [taylor]: Taking taylor expansion of N in N 1.322 * [taylor]: Taking taylor expansion of 1.0 in N 1.365 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/9) in (N) around 0 1.366 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/9) in N 1.366 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ (/ 1 N) 1.0)))) in N 1.366 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ (/ 1 N) 1.0))) in N 1.366 * [taylor]: Taking taylor expansion of 1/9 in N 1.366 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.366 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.366 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.366 * [taylor]: Taking taylor expansion of N in N 1.366 * [taylor]: Taking taylor expansion of 1.0 in N 1.367 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/9) in N 1.367 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ (/ 1 N) 1.0)))) in N 1.367 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ (/ 1 N) 1.0))) in N 1.367 * [taylor]: Taking taylor expansion of 1/9 in N 1.367 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.367 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.367 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.367 * [taylor]: Taking taylor expansion of N in N 1.368 * [taylor]: Taking taylor expansion of 1.0 in N 1.390 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/9) in (N) around 0 1.390 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/9) in N 1.390 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (- 1.0 (/ 1 N))))) in N 1.390 * [taylor]: Taking taylor expansion of (* 1/9 (log (- 1.0 (/ 1 N)))) in N 1.390 * [taylor]: Taking taylor expansion of 1/9 in N 1.390 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.390 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.390 * [taylor]: Taking taylor expansion of 1.0 in N 1.390 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.390 * [taylor]: Taking taylor expansion of N in N 1.393 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/9) in N 1.393 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (- 1.0 (/ 1 N))))) in N 1.393 * [taylor]: Taking taylor expansion of (* 1/9 (log (- 1.0 (/ 1 N)))) in N 1.393 * [taylor]: Taking taylor expansion of 1/9 in N 1.393 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.393 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.393 * [taylor]: Taking taylor expansion of 1.0 in N 1.393 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.393 * [taylor]: Taking taylor expansion of N in N 1.423 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2 1 1 1) 1.423 * [approximate]: Taking taylor expansion of (pow (+ N 1.0) 1/9) in (N) around 0 1.423 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/9) in N 1.423 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ N 1.0)))) in N 1.423 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ N 1.0))) in N 1.423 * [taylor]: Taking taylor expansion of 1/9 in N 1.423 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.423 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.423 * [taylor]: Taking taylor expansion of N in N 1.423 * [taylor]: Taking taylor expansion of 1.0 in N 1.426 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/9) in N 1.426 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ N 1.0)))) in N 1.426 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ N 1.0))) in N 1.426 * [taylor]: Taking taylor expansion of 1/9 in N 1.426 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 1.426 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.426 * [taylor]: Taking taylor expansion of N in N 1.426 * [taylor]: Taking taylor expansion of 1.0 in N 1.476 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/9) in (N) around 0 1.476 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/9) in N 1.476 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ (/ 1 N) 1.0)))) in N 1.476 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ (/ 1 N) 1.0))) in N 1.476 * [taylor]: Taking taylor expansion of 1/9 in N 1.476 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.476 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.476 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.476 * [taylor]: Taking taylor expansion of N in N 1.477 * [taylor]: Taking taylor expansion of 1.0 in N 1.478 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/9) in N 1.478 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (+ (/ 1 N) 1.0)))) in N 1.478 * [taylor]: Taking taylor expansion of (* 1/9 (log (+ (/ 1 N) 1.0))) in N 1.478 * [taylor]: Taking taylor expansion of 1/9 in N 1.478 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 1.479 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.479 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.479 * [taylor]: Taking taylor expansion of N in N 1.479 * [taylor]: Taking taylor expansion of 1.0 in N 1.518 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/9) in (N) around 0 1.518 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/9) in N 1.518 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (- 1.0 (/ 1 N))))) in N 1.518 * [taylor]: Taking taylor expansion of (* 1/9 (log (- 1.0 (/ 1 N)))) in N 1.518 * [taylor]: Taking taylor expansion of 1/9 in N 1.518 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.518 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.518 * [taylor]: Taking taylor expansion of 1.0 in N 1.518 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.518 * [taylor]: Taking taylor expansion of N in N 1.523 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 1/9) in N 1.523 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (- 1.0 (/ 1 N))))) in N 1.523 * [taylor]: Taking taylor expansion of (* 1/9 (log (- 1.0 (/ 1 N)))) in N 1.523 * [taylor]: Taking taylor expansion of 1/9 in N 1.523 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 1.523 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.523 * [taylor]: Taking taylor expansion of 1.0 in N 1.523 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.523 * [taylor]: Taking taylor expansion of N in N 1.570 * * * [progress]: simplifying candidates 1.571 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N)))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (log (cbrt (cbrt (+ N 1.0)))) (exp (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt 1) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0))) (* (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt (cbrt (+ N 1.0)))) (log (cbrt (cbrt (+ N 1.0)))) (exp (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt 1) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0))) (* (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt (cbrt (+ N 1.0)))) (log (cbrt (cbrt (+ N 1.0)))) (exp (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt 1) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0))) (* (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt (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))) (- (+ (* 0.1111111111111111 (* N (pow 1.0 1/9))) (+ (* 0.006172839506172839 (* (pow N 2) (pow 1.0 1/9))) (pow 1.0 1/9))) (* 1/18 (* (pow N 2) (pow (/ 1 (pow 1.0 17)) 1/9)))) (- (+ (* 0.1111111111111111 (pow (/ 1 (pow N 8)) 1/9)) (pow (/ 1 N) -1/9)) (* 0.04938271604938271 (pow (/ 1 (pow N 17)) 1/9))) (- (+ (* 0.1111111111111111 (/ (exp (* 1/9 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/9 (- (log -1) (log (/ -1 N)))))) (* 0.04938271604938271 (/ (exp (* 1/9 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (* 0.1111111111111111 (* N (pow 1.0 1/9))) (+ (* 0.006172839506172839 (* (pow N 2) (pow 1.0 1/9))) (pow 1.0 1/9))) (* 1/18 (* (pow N 2) (pow (/ 1 (pow 1.0 17)) 1/9)))) (- (+ (* 0.1111111111111111 (pow (/ 1 (pow N 8)) 1/9)) (pow (/ 1 N) -1/9)) (* 0.04938271604938271 (pow (/ 1 (pow N 17)) 1/9))) (- (+ (* 0.1111111111111111 (/ (exp (* 1/9 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/9 (- (log -1) (log (/ -1 N)))))) (* 0.04938271604938271 (/ (exp (* 1/9 (- (log -1) (log (/ -1 N))))) (pow N 2)))) (- (+ (* 0.1111111111111111 (* N (pow 1.0 1/9))) (+ (* 0.006172839506172839 (* (pow N 2) (pow 1.0 1/9))) (pow 1.0 1/9))) (* 1/18 (* (pow N 2) (pow (/ 1 (pow 1.0 17)) 1/9)))) (- (+ (* 0.1111111111111111 (pow (/ 1 (pow N 8)) 1/9)) (pow (/ 1 N) -1/9)) (* 0.04938271604938271 (pow (/ 1 (pow N 17)) 1/9))) (- (+ (* 0.1111111111111111 (/ (exp (* 1/9 (- (log -1) (log (/ -1 N))))) N)) (exp (* 1/9 (- (log -1) (log (/ -1 N)))))) (* 0.04938271604938271 (/ (exp (* 1/9 (- (log -1) (log (/ -1 N))))) (pow N 2)))) 1.575 * * [simplify]: iteration 0 : 214 enodes (cost 726 ) 1.579 * * [simplify]: iteration 1 : 556 enodes (cost 658 ) 1.588 * * [simplify]: iteration 2 : 1871 enodes (cost 625 ) 1.626 * * [simplify]: iteration 3 : 5001 enodes (cost 625 ) 1.630 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (pow (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N)))) 3) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (* (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (+ N 1.0)))) N))))) (log (cbrt (cbrt (+ N 1.0)))) (exp (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt 1) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0))) (* (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (+ N 1.0)) (sqrt (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt (cbrt (+ N 1.0)))) (log (cbrt (cbrt (+ N 1.0)))) (exp (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt 1) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0))) (* (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (+ N 1.0)) (sqrt (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt (cbrt (+ N 1.0)))) (log (cbrt (cbrt (+ N 1.0)))) (exp (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt (sqrt (+ N 1.0)))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt 1)) (cbrt (cbrt (+ N 1.0))) (cbrt (* (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt (sqrt (cbrt (+ N 1.0)))) (cbrt 1) (cbrt (cbrt (+ N 1.0))) (cbrt (cbrt (+ (pow N 3) (pow 1.0 3)))) (cbrt (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0))))) (cbrt (cbrt (- (* N N) (* 1.0 1.0)))) (cbrt (cbrt (- N 1.0))) (* (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (cbrt (cbrt (+ N 1.0))))) (cbrt (cbrt (cbrt (+ N 1.0)))) (cbrt (+ N 1.0)) (sqrt (cbrt (cbrt (+ N 1.0)))) (sqrt (cbrt (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))) (+ (* (+ (* 0.1111111111111111 N) 1) (pow 1.0 1/9)) (* (pow N 2) (- (* (pow 1.0 1/9) 0.006172839506172839) (* (pow (/ 1 (pow 1.0 17)) 1/9) 1/18)))) (- (+ (* 0.1111111111111111 (pow (/ 1 (pow N 8)) 1/9)) (pow (/ 1 N) -1/9)) (* 0.04938271604938271 (pow (/ 1 (pow N 17)) 1/9))) (+ (* (/ (exp (* 1/9 (- (log -1) (log (/ -1 N))))) N) (- 0.1111111111111111 (/ 0.04938271604938271 N))) (exp (* 1/9 (- (log -1) (log (/ -1 N)))))) (+ (* (+ (* 0.1111111111111111 N) 1) (pow 1.0 1/9)) (* (pow N 2) (- (* (pow 1.0 1/9) 0.006172839506172839) (* (pow (/ 1 (pow 1.0 17)) 1/9) 1/18)))) (- (+ (* 0.1111111111111111 (pow (/ 1 (pow N 8)) 1/9)) (pow (/ 1 N) -1/9)) (* 0.04938271604938271 (pow (/ 1 (pow N 17)) 1/9))) (+ (* (/ (exp (* 1/9 (- (log -1) (log (/ -1 N))))) N) (- 0.1111111111111111 (/ 0.04938271604938271 N))) (exp (* 1/9 (- (log -1) (log (/ -1 N)))))) (+ (* (+ (* 0.1111111111111111 N) 1) (pow 1.0 1/9)) (* (pow N 2) (- (* (pow 1.0 1/9) 0.006172839506172839) (* (pow (/ 1 (pow 1.0 17)) 1/9) 1/18)))) (- (+ (* 0.1111111111111111 (pow (/ 1 (pow N 8)) 1/9)) (pow (/ 1 N) -1/9)) (* 0.04938271604938271 (pow (/ 1 (pow N 17)) 1/9))) (+ (* (/ (exp (* 1/9 (- (log -1) (log (/ -1 N))))) N) (- 0.1111111111111111 (/ 0.04938271604938271 N))) (exp (* 1/9 (- (log -1) (log (/ -1 N)))))) 1.630 * * * [progress]: adding candidates to table 2.292 * [progress]: [Phase 3 of 3] Extracting. 2.292 * * [regime]: Finding splitpoints for: (# # # # # #) 2.293 * * * [regime-changes]: Trying 1 branch expressions: (N) 2.293 * * * * [regimes]: Trying to branch on N from (# # # # # #) 2.334 * * * [regime]: Found split indices: #