33.844 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [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 ) 0.033 * [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 0.041 * * * [progress]: generating rewritten candidates 0.042 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.045 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.046 * * * [progress]: generating series expansions 0.046 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.046 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.046 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.046 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.047 * [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 0.048 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.048 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.048 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.048 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.048 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.048 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.048 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.049 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.049 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.049 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.049 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.049 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.049 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.049 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.049 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.049 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.049 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.049 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.050 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.050 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.050 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.050 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.050 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.050 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.050 * * * [progress]: simplifying candidates 0.051 * [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)) 0.053 * * [simplify]: iteration 0 : 75 enodes (cost 154 ) 0.055 * * [simplify]: iteration 1 : 145 enodes (cost 145 ) 0.058 * * [simplify]: iteration 2 : 289 enodes (cost 143 ) 0.062 * * [simplify]: iteration 3 : 681 enodes (cost 142 ) 0.075 * * [simplify]: iteration 4 : 2447 enodes (cost 142 ) 0.125 * * [simplify]: iteration 5 : 5001 enodes (cost 142 ) 0.126 * [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)) 0.127 * * * [progress]: adding candidates to table 0.163 * * [progress]: iteration 2 / 4 0.163 * * * [progress]: picking best candidate 0.165 * * * * [pick]: Picked # 0.165 * * * [progress]: localizing error 0.171 * * * [progress]: generating rewritten candidates 0.171 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.171 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.178 * * * [progress]: generating series expansions 0.178 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.178 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.178 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.178 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.179 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.179 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.179 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.179 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.179 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.179 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.180 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.180 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.180 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.180 * [taylor]: Taking taylor expansion of N in N 0.180 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.180 * [taylor]: Taking taylor expansion of N in N 0.180 * [taylor]: Taking taylor expansion of 1.0 in N 0.180 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.180 * [taylor]: Taking taylor expansion of N in N 0.180 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.180 * [taylor]: Taking taylor expansion of N in N 0.180 * [taylor]: Taking taylor expansion of 1.0 in N 0.181 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.181 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.181 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.181 * [taylor]: Taking taylor expansion of N in N 0.181 * [taylor]: Taking taylor expansion of 1.0 in N 0.181 * [taylor]: Taking taylor expansion of N in N 0.181 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.181 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.181 * [taylor]: Taking taylor expansion of N in N 0.181 * [taylor]: Taking taylor expansion of 1.0 in N 0.181 * [taylor]: Taking taylor expansion of N in N 0.182 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.182 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.182 * [taylor]: Taking taylor expansion of -1 in N 0.182 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.182 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.182 * [taylor]: Taking taylor expansion of 1.0 in N 0.182 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.182 * [taylor]: Taking taylor expansion of N in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.183 * [taylor]: Taking taylor expansion of -1 in N 0.183 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.183 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.183 * [taylor]: Taking taylor expansion of 1.0 in N 0.183 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.184 * * * [progress]: simplifying candidates 0.185 * [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)) 0.188 * * [simplify]: iteration 0 : 121 enodes (cost 151 ) 0.190 * * [simplify]: iteration 1 : 432 enodes (cost 127 ) 0.200 * * [simplify]: iteration 2 : 2321 enodes (cost 127 ) 0.238 * * [simplify]: iteration 3 : 5002 enodes (cost 127 ) 0.239 * [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) 0.240 * * * [progress]: adding candidates to table 0.282 * * [progress]: iteration 3 / 4 0.282 * * * [progress]: picking best candidate 0.302 * * * * [pick]: Picked # 0.302 * * * [progress]: localizing error 0.314 * * * [progress]: generating rewritten candidates 0.314 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.315 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 0.316 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 2) 0.317 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 1) 0.319 * * * [progress]: generating series expansions 0.319 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.319 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.319 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.319 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.320 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.320 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.320 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.321 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in (N) around 0 0.321 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 0.321 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (* 1.0 (/ (pow (cbrt -1) 3) N)) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 0.322 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 0.322 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.322 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.322 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.322 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.322 * [taylor]: Taking taylor expansion of 1/3 in N 0.322 * [taylor]: Taking taylor expansion of (log N) in N 0.322 * [taylor]: Taking taylor expansion of N in N 0.322 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.322 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.322 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.322 * [taylor]: Taking taylor expansion of 1/3 in N 0.322 * [taylor]: Taking taylor expansion of (log N) in N 0.322 * [taylor]: Taking taylor expansion of N in N 0.328 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.328 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.328 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.328 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.328 * [taylor]: Taking taylor expansion of 1/3 in N 0.328 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.328 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.328 * [taylor]: Taking taylor expansion of N in N 0.328 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.328 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.328 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.328 * [taylor]: Taking taylor expansion of 1/3 in N 0.328 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.328 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.328 * [taylor]: Taking taylor expansion of N in N 0.335 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.335 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.335 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.335 * [taylor]: Taking taylor expansion of -1 in N 0.335 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.335 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.335 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.335 * [taylor]: Taking taylor expansion of 1/3 in N 0.335 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.335 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.335 * [taylor]: Taking taylor expansion of N in N 0.335 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.335 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.335 * [taylor]: Taking taylor expansion of -1 in N 0.335 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.335 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.335 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.335 * [taylor]: Taking taylor expansion of 1/3 in N 0.335 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.335 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.335 * [taylor]: Taking taylor expansion of N in N 0.343 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 2) 0.343 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.343 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.343 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.343 * [taylor]: Taking taylor expansion of 1/3 in N 0.343 * [taylor]: Taking taylor expansion of (log N) in N 0.343 * [taylor]: Taking taylor expansion of N in N 0.343 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.343 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.343 * [taylor]: Taking taylor expansion of 1/3 in N 0.343 * [taylor]: Taking taylor expansion of (log N) in N 0.344 * [taylor]: Taking taylor expansion of N in N 0.349 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.349 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.349 * [taylor]: Taking taylor expansion of 1/3 in N 0.349 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.349 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.349 * [taylor]: Taking taylor expansion of N in N 0.349 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.349 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.349 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.350 * [taylor]: Taking taylor expansion of 1/3 in N 0.350 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.350 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.350 * [taylor]: Taking taylor expansion of N in N 0.356 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.356 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.356 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.356 * [taylor]: Taking taylor expansion of -1 in N 0.356 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.356 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.356 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.356 * [taylor]: Taking taylor expansion of 1/3 in N 0.356 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.356 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.356 * [taylor]: Taking taylor expansion of N in N 0.356 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.356 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.356 * [taylor]: Taking taylor expansion of -1 in N 0.356 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.356 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.356 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.356 * [taylor]: Taking taylor expansion of 1/3 in N 0.356 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.356 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.356 * [taylor]: Taking taylor expansion of N in N 0.364 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 1) 0.364 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 0.364 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.364 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.364 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.364 * [taylor]: Taking taylor expansion of 1/3 in N 0.364 * [taylor]: Taking taylor expansion of (log N) in N 0.364 * [taylor]: Taking taylor expansion of N in N 0.364 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 0.364 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 0.364 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 0.364 * [taylor]: Taking taylor expansion of 1/3 in N 0.364 * [taylor]: Taking taylor expansion of (log N) in N 0.364 * [taylor]: Taking taylor expansion of N in N 0.370 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 0.370 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.370 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.370 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.370 * [taylor]: Taking taylor expansion of 1/3 in N 0.370 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.370 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.370 * [taylor]: Taking taylor expansion of N in N 0.370 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.370 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.370 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.370 * [taylor]: Taking taylor expansion of 1/3 in N 0.370 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.370 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.370 * [taylor]: Taking taylor expansion of N in N 0.376 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 0.376 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.376 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.376 * [taylor]: Taking taylor expansion of -1 in N 0.377 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.377 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.377 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.377 * [taylor]: Taking taylor expansion of 1/3 in N 0.377 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.377 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.377 * [taylor]: Taking taylor expansion of N in N 0.377 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 0.377 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.377 * [taylor]: Taking taylor expansion of -1 in N 0.377 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 0.377 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 0.377 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 0.377 * [taylor]: Taking taylor expansion of 1/3 in N 0.377 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.377 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.377 * [taylor]: Taking taylor expansion of N in N 0.385 * * * [progress]: simplifying candidates 0.385 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (exp (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (* (* (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt 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))) (exp (* 1/3 (+ (log 1) (log N)))) (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) (exp (* 1/3 (+ (log 1) (log N)))) (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) (exp (* 1/3 (+ (log 1) (log N)))) (exp (* 1/3 (- (log 1) (log (/ 1 N))))) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) 0.388 * * [simplify]: iteration 0 : 95 enodes (cost 268 ) 0.391 * * [simplify]: iteration 1 : 172 enodes (cost 237 ) 0.393 * * [simplify]: iteration 2 : 446 enodes (cost 207 ) 0.402 * * [simplify]: iteration 3 : 1754 enodes (cost 200 ) 0.449 * * [simplify]: iteration 4 : 5001 enodes (cost 200 ) 0.451 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (exp (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (sqrt (atan2 1.0 (+ 1 (* (* (+ N 1.0) (* (cbrt N) (cbrt N))) (cbrt N))))) (* 1/3 (log N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (* 1/3 (log N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt N)) (* 1/3 (log N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) 1 (pow N 1/3) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) N (sqrt (cbrt N)) (sqrt (cbrt 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 1/3) (pow N 1/3) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) (pow N 1/3) (pow N 1/3) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) (pow N 1/3) (pow N 1/3) (* (cbrt -1) (exp (* 1/3 (- (log 1) (log (/ -1 N)))))) 0.451 * * * [progress]: adding candidates to table 0.518 * * [progress]: iteration 4 / 4 0.518 * * * [progress]: picking best candidate 0.536 * * * * [pick]: Picked # 0.536 * * * [progress]: localizing error 0.544 * * * [progress]: generating rewritten candidates 0.544 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.544 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.552 * * * [progress]: generating series expansions 0.552 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.552 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.552 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.552 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.553 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.553 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.553 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.554 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.554 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.554 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.554 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.554 * [approximate]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in (N) around 0 0.554 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.554 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.554 * [taylor]: Taking taylor expansion of N in N 0.554 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.554 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.554 * [taylor]: Taking taylor expansion of 1.0 in N 0.555 * [taylor]: Taking taylor expansion of N in N 0.555 * [taylor]: Taking taylor expansion of 1 in N 0.555 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.555 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.555 * [taylor]: Taking taylor expansion of N in N 0.555 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.555 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.555 * [taylor]: Taking taylor expansion of 1.0 in N 0.555 * [taylor]: Taking taylor expansion of N in N 0.555 * [taylor]: Taking taylor expansion of 1 in N 0.555 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in (N) around 0 0.555 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.555 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.555 * [taylor]: Taking taylor expansion of 1.0 in N 0.555 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.555 * [taylor]: Taking taylor expansion of N in N 0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.555 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.555 * [taylor]: Taking taylor expansion of N in N 0.555 * [taylor]: Taking taylor expansion of 1 in N 0.555 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.555 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.555 * [taylor]: Taking taylor expansion of 1.0 in N 0.555 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.555 * [taylor]: Taking taylor expansion of N in N 0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.555 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.555 * [taylor]: Taking taylor expansion of N in N 0.555 * [taylor]: Taking taylor expansion of 1 in N 0.556 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in (N) around 0 0.556 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.556 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.556 * [taylor]: Taking taylor expansion of N in N 0.556 * [taylor]: Taking taylor expansion of 1 in N 0.556 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.556 * [taylor]: Taking taylor expansion of 1.0 in N 0.556 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.556 * [taylor]: Taking taylor expansion of N in N 0.556 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.556 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.556 * [taylor]: Taking taylor expansion of N in N 0.556 * [taylor]: Taking taylor expansion of 1 in N 0.556 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.556 * [taylor]: Taking taylor expansion of 1.0 in N 0.556 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.556 * [taylor]: Taking taylor expansion of N in N 0.557 * * * [progress]: simplifying candidates 0.557 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (exp (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (* (cbrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (cbrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) (cbrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (* (* (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (* (exp (pow N 2)) (* (exp (* 1.0 N)) (exp 1))) (* (exp (pow N 2)) (exp (+ (* 1.0 N) 1))) (log (+ (pow N 2) (+ (* 1.0 N) 1))) (exp (+ (pow N 2) (+ (* 1.0 N) 1))) (* (cbrt (+ (pow N 2) (+ (* 1.0 N) 1))) (cbrt (+ (pow N 2) (+ (* 1.0 N) 1)))) (cbrt (+ (pow N 2) (+ (* 1.0 N) 1))) (* (* (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (+ (* 1.0 N) 1))) (sqrt (+ (pow N 2) (+ (* 1.0 N) 1))) (sqrt (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow (pow N 2) 3) (pow (+ (* 1.0 N) 1) 3)) (+ (* (pow N 2) (pow N 2)) (- (* (+ (* 1.0 N) 1) (+ (* 1.0 N) 1)) (* (pow N 2) (+ (* 1.0 N) 1)))) (- (* (pow N 2) (pow N 2)) (* (+ (* 1.0 N) 1) (+ (* 1.0 N) 1))) (- (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (* 1.0 N)) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) 0.560 * * [simplify]: iteration 0 : 114 enodes (cost 181 ) 0.563 * * [simplify]: iteration 1 : 447 enodes (cost 154 ) 0.574 * * [simplify]: iteration 2 : 2686 enodes (cost 153 ) 0.631 * * [simplify]: iteration 3 : 5001 enodes (cost 150 ) 0.633 * [simplify]: Simplified to: (log (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (exp (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (* (cbrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (cbrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))))) (cbrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (pow (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 3) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (pow E (+ 1 (* N (+ 1.0 N)))) (pow E (+ 1 (* N (+ 1.0 N)))) (log (+ (pow N 2) (+ (* 1.0 N) 1))) (pow E (+ 1 (* N (+ 1.0 N)))) (* (cbrt (+ (pow N 2) (+ (* 1.0 N) 1))) (cbrt (+ (pow N 2) (+ (* 1.0 N) 1)))) (cbrt (+ (pow N 2) (+ (* 1.0 N) 1))) (pow (+ 1 (* N (+ 1.0 N))) 3) (sqrt (+ (pow N 2) (+ (* 1.0 N) 1))) (sqrt (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow (pow N 2) 3) (pow (+ (* 1.0 N) 1) 3)) (+ (* (+ (* 1.0 N) 1) (- (+ (* 1.0 N) 1) (pow N 2))) (pow N 4)) (* (+ (* N (- N 1.0)) -1) (+ 1 (* N (+ 1.0 N)))) (+ (* N (- N 1.0)) -1) (+ 1 (* N (+ 1.0 N))) (* N (+ 1.0 N)) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ 1 (* N (+ 1.0 N))) (+ 1 (* N (+ 1.0 N))) (+ 1 (* N (+ 1.0 N))) 0.633 * * * [progress]: adding candidates to table 0.672 * [progress]: [Phase 3 of 3] Extracting. 0.672 * * [regime]: Finding splitpoints for: (# # # # # # #) 0.673 * * * [regime-changes]: Trying 1 branch expressions: (N) 0.673 * * * * [regimes]: Trying to branch on N from (# # # # # # #) 0.714 * * * [regime]: Found split indices: #