10.143 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (- (atan (+ N 1.0)) (atan N)) 0.030 * * [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)) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.043 * * * [progress]: generating series expansions 0.043 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.044 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.044 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.044 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.045 * [taylor]: Taking taylor expansion of (atan N) in N 0.045 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.045 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.045 * [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 0.051 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.051 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.052 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.055 * * * [progress]: simplifying candidates 0.055 * [simplify]: Simplifying using # : (- (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (/ (exp (atan (+ N 1.0))) (exp (atan N))) (log (- (atan (+ N 1.0)) (atan N))) (exp (- (atan (+ N 1.0)) (atan N))) (* (cbrt (- (atan (+ N 1.0)) (atan N))) (cbrt (- (atan (+ N 1.0)) (atan N)))) (cbrt (- (atan (+ N 1.0)) (atan N))) (* (* (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N))) (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (sqrt (- (atan (+ N 1.0)) (atan N))) (- (pow (atan (+ N 1.0)) 3) (pow (atan N) 3)) (+ (* (atan (+ N 1.0)) (atan (+ N 1.0))) (+ (* (atan N) (atan N)) (* (atan (+ N 1.0)) (atan N)))) (- (atan N)) (- (* (atan (+ N 1.0)) (atan (+ N 1.0))) (* (atan N) (atan N))) (+ (atan (+ N 1.0)) (atan N)) (+ (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (sqrt (atan (+ N 1.0))) (sqrt (atan N))) (- (atan (+ N 1.0)) (atan N)) (- (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 0.058 * * [simplify]: iteration 0 : 72 enodes (cost 123 ) 0.060 * * [simplify]: iteration 1 : 142 enodes (cost 114 ) 0.063 * * [simplify]: iteration 2 : 286 enodes (cost 112 ) 0.068 * * [simplify]: iteration 3 : 678 enodes (cost 111 ) 0.082 * * [simplify]: iteration 4 : 2488 enodes (cost 111 ) 0.132 * * [simplify]: iteration 5 : 5001 enodes (cost 111 ) 0.133 * [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)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) (- (atan (+ N 1.0)) (atan N)) 0.134 * * * [progress]: adding candidates to table 0.169 * * [progress]: iteration 2 / 4 0.169 * * * [progress]: picking best candidate 0.171 * * * * [pick]: Picked # 0.171 * * * [progress]: localizing error 0.177 * * * [progress]: generating rewritten candidates 0.177 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.177 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.187 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.191 * * * [progress]: generating series expansions 0.191 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.191 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.191 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.191 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.192 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.192 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.192 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.193 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.193 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.193 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.193 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.193 * [approximate]: Taking taylor expansion of (* N (+ N 1.0)) in (N) around 0 0.194 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [taylor]: Taking taylor expansion of 1.0 in N 0.194 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [taylor]: Taking taylor expansion of 1.0 in N 0.203 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.203 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.203 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.203 * [taylor]: Taking taylor expansion of N in N 0.204 * [taylor]: Taking taylor expansion of 1.0 in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [taylor]: Taking taylor expansion of 1.0 in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.215 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.216 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.216 * [taylor]: Taking taylor expansion of -1 in N 0.216 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.216 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.216 * [taylor]: Taking taylor expansion of 1.0 in N 0.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.216 * [taylor]: Taking taylor expansion of N in N 0.216 * [taylor]: Taking taylor expansion of N in N 0.217 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.217 * [taylor]: Taking taylor expansion of -1 in N 0.217 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.217 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.217 * [taylor]: Taking taylor expansion of 1.0 in N 0.217 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.217 * [taylor]: Taking taylor expansion of N in N 0.217 * [taylor]: Taking taylor expansion of N in N 0.245 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.245 * [approximate]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in (N) around 0 0.245 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.245 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.245 * [taylor]: Taking taylor expansion of N in N 0.245 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.245 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.245 * [taylor]: Taking taylor expansion of 1.0 in N 0.245 * [taylor]: Taking taylor expansion of N in N 0.245 * [taylor]: Taking taylor expansion of 1 in N 0.245 * [taylor]: Taking taylor expansion of (+ (pow N 2) (+ (* 1.0 N) 1)) in N 0.245 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.245 * [taylor]: Taking taylor expansion of N in N 0.245 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) 1) in N 0.245 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 0.245 * [taylor]: Taking taylor expansion of 1.0 in N 0.245 * [taylor]: Taking taylor expansion of N in N 0.245 * [taylor]: Taking taylor expansion of 1 in N 0.249 * [approximate]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in (N) around 0 0.249 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.249 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.249 * [taylor]: Taking taylor expansion of 1.0 in N 0.249 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.249 * [taylor]: Taking taylor expansion of N in N 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.250 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.250 * [taylor]: Taking taylor expansion of N in N 0.250 * [taylor]: Taking taylor expansion of 1 in N 0.250 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)) in N 0.250 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.250 * [taylor]: Taking taylor expansion of 1.0 in N 0.250 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.250 * [taylor]: Taking taylor expansion of N in N 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.251 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.251 * [taylor]: Taking taylor expansion of N in N 0.251 * [taylor]: Taking taylor expansion of 1 in N 0.257 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in (N) around 0 0.257 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.257 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.257 * [taylor]: Taking taylor expansion of N in N 0.257 * [taylor]: Taking taylor expansion of 1 in N 0.257 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.257 * [taylor]: Taking taylor expansion of 1.0 in N 0.257 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.257 * [taylor]: Taking taylor expansion of N in N 0.258 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))) in N 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow N 2)) 1) in N 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.258 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.258 * [taylor]: Taking taylor expansion of N in N 0.258 * [taylor]: Taking taylor expansion of 1 in N 0.258 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 0.258 * [taylor]: Taking taylor expansion of 1.0 in N 0.258 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.258 * [taylor]: Taking taylor expansion of N in N 0.265 * * * [progress]: simplifying candidates 0.266 * [simplify]: Simplifying using # : (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ N 1.0) N) (+ (log (+ N 1.0)) (log N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (* (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (* (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (* (+ N 1.0) 1) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (* (exp 1) (exp (* (+ N 1.0) N))) (log (+ 1 (* (+ N 1.0) N))) (exp (+ 1 (* (+ N 1.0) N))) (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N))) (* (* (+ 1 (* (+ N 1.0) N)) (+ 1 (* (+ N 1.0) N))) (+ 1 (* (+ N 1.0) N))) (sqrt (+ 1 (* (+ N 1.0) N))) (sqrt (+ 1 (* (+ N 1.0) N))) (+ (pow 1 3) (pow (* (+ N 1.0) N) 3)) (+ (* 1 1) (- (* (* (+ N 1.0) N) (* (+ N 1.0) N)) (* 1 (* (+ N 1.0) N)))) (- (* 1 1) (* (* (+ N 1.0) N) (* (+ N 1.0) N))) (- 1 (* (+ N 1.0) N)) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (* 1.0 N)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) (+ (pow N 2) (+ (* 1.0 N) 1)) 0.270 * * [simplify]: iteration 0 : 177 enodes (cost 222 ) 0.276 * * [simplify]: iteration 1 : 766 enodes (cost 193 ) 0.297 * * [simplify]: iteration 2 : 4572 enodes (cost 193 ) 0.384 * * [simplify]: iteration 3 : 5001 enodes (cost 193 ) 0.385 * [simplify]: Simplified to: (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (+ N 1.0) N) (log (* (+ N 1.0) N)) (log (* (+ N 1.0) N)) (exp (* (+ N 1.0) N)) (pow (* (+ N 1.0) N) 3) (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)) (pow (* (+ N 1.0) N) 3) (sqrt (* (+ N 1.0) N)) (sqrt (* (+ N 1.0) N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (sqrt (+ N 1.0)) (sqrt N)) (* (+ N 1.0) (* (cbrt N) (cbrt N))) (* (+ N 1.0) (sqrt N)) (+ N 1.0) (* (cbrt (+ N 1.0)) N) (* (sqrt (+ N 1.0)) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ (pow N 3) (pow 1.0 3)) N) (* (- (* N N) (* 1.0 1.0)) N) (exp (+ 1 (* (+ N 1.0) N))) (log (+ 1 (* (+ N 1.0) N))) (exp (+ 1 (* (+ N 1.0) N))) (* (cbrt (+ 1 (* (+ N 1.0) N))) (cbrt (+ 1 (* (+ N 1.0) N)))) (cbrt (+ 1 (* (+ N 1.0) N))) (pow (+ 1 (* (+ N 1.0) N)) 3) (sqrt (+ 1 (* (+ N 1.0) N))) (sqrt (+ 1 (* (+ N 1.0) N))) (+ 1 (pow (* (+ N 1.0) N) 3)) (+ (* (* (+ N 1.0) N) (- (* (+ N 1.0) N) 1)) 1) (- 1 (* (* (+ N 1.0) N) (* (+ N 1.0) N))) (- 1 (* (+ N 1.0) N)) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (* (+ N 1.0) N) (* (+ N 1.0) N) (* (+ N 1.0) N) (+ 1 (* (+ N 1.0) N)) (+ 1 (* (+ N 1.0) N)) (+ 1 (* (+ N 1.0) N)) 0.385 * * * [progress]: adding candidates to table 0.467 * * [progress]: iteration 3 / 4 0.467 * * * [progress]: picking best candidate 0.476 * * * * [pick]: Picked # 0.476 * * * [progress]: localizing error 0.486 * * * [progress]: generating rewritten candidates 0.486 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.490 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 0.493 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 0.497 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.498 * * * [progress]: generating series expansions 0.498 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.498 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.498 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.498 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.498 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.498 * [taylor]: Taking taylor expansion of 1/3 in N 0.498 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.498 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.498 * [taylor]: Taking taylor expansion of N in N 0.498 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.498 * [taylor]: Taking taylor expansion of N in N 0.498 * [taylor]: Taking taylor expansion of 1.0 in N 0.502 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.502 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.502 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.502 * [taylor]: Taking taylor expansion of 1/3 in N 0.502 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.502 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.502 * [taylor]: Taking taylor expansion of N in N 0.502 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.502 * [taylor]: Taking taylor expansion of N in N 0.502 * [taylor]: Taking taylor expansion of 1.0 in N 0.533 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.533 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.533 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.533 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.533 * [taylor]: Taking taylor expansion of 1/3 in N 0.533 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.533 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.533 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.533 * [taylor]: Taking taylor expansion of N in N 0.533 * [taylor]: Taking taylor expansion of 1.0 in N 0.533 * [taylor]: Taking taylor expansion of N in N 0.534 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.534 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.534 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.534 * [taylor]: Taking taylor expansion of 1/3 in N 0.534 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.534 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.534 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.534 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.535 * [taylor]: Taking taylor expansion of N in N 0.535 * [taylor]: Taking taylor expansion of 1.0 in N 0.535 * [taylor]: Taking taylor expansion of N in N 0.563 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.563 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.563 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.563 * [taylor]: Taking taylor expansion of -1 in N 0.564 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.564 * [taylor]: Taking taylor expansion of 1/3 in N 0.564 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.564 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.564 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.564 * [taylor]: Taking taylor expansion of 1.0 in N 0.564 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.564 * [taylor]: Taking taylor expansion of N in N 0.564 * [taylor]: Taking taylor expansion of N in N 0.567 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.567 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.567 * [taylor]: Taking taylor expansion of -1 in N 0.568 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.568 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.568 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.568 * [taylor]: Taking taylor expansion of 1/3 in N 0.568 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.568 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.568 * [taylor]: Taking taylor expansion of 1.0 in N 0.568 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.568 * [taylor]: Taking taylor expansion of N in N 0.568 * [taylor]: Taking taylor expansion of N in N 0.606 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 0.606 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.606 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.606 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.606 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.606 * [taylor]: Taking taylor expansion of 1/3 in N 0.606 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.606 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.606 * [taylor]: Taking taylor expansion of N in N 0.606 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.606 * [taylor]: Taking taylor expansion of N in N 0.606 * [taylor]: Taking taylor expansion of 1.0 in N 0.609 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.609 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.609 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.609 * [taylor]: Taking taylor expansion of 1/3 in N 0.609 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.609 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.609 * [taylor]: Taking taylor expansion of N in N 0.609 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.609 * [taylor]: Taking taylor expansion of N in N 0.609 * [taylor]: Taking taylor expansion of 1.0 in N 0.661 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.661 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.661 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.661 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.661 * [taylor]: Taking taylor expansion of 1/3 in N 0.661 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.661 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.661 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.661 * [taylor]: Taking taylor expansion of N in N 0.662 * [taylor]: Taking taylor expansion of 1.0 in N 0.662 * [taylor]: Taking taylor expansion of N in N 0.664 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.664 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.664 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.664 * [taylor]: Taking taylor expansion of 1/3 in N 0.664 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.664 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.664 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.664 * [taylor]: Taking taylor expansion of N in N 0.664 * [taylor]: Taking taylor expansion of 1.0 in N 0.665 * [taylor]: Taking taylor expansion of N in N 0.690 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.690 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.690 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.690 * [taylor]: Taking taylor expansion of -1 in N 0.691 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.691 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.691 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.691 * [taylor]: Taking taylor expansion of 1/3 in N 0.691 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.691 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.691 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.691 * [taylor]: Taking taylor expansion of 1.0 in N 0.691 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.691 * [taylor]: Taking taylor expansion of N in N 0.691 * [taylor]: Taking taylor expansion of N in N 0.694 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.694 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.694 * [taylor]: Taking taylor expansion of -1 in N 0.694 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.694 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.694 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.694 * [taylor]: Taking taylor expansion of 1/3 in N 0.694 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.694 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.695 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.695 * [taylor]: Taking taylor expansion of 1.0 in N 0.695 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.695 * [taylor]: Taking taylor expansion of N in N 0.695 * [taylor]: Taking taylor expansion of N in N 0.730 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 0.730 * [approximate]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in (N) around 0 0.730 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.730 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.730 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.730 * [taylor]: Taking taylor expansion of 1/3 in N 0.730 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.730 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.730 * [taylor]: Taking taylor expansion of N in N 0.730 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.730 * [taylor]: Taking taylor expansion of N in N 0.730 * [taylor]: Taking taylor expansion of 1.0 in N 0.733 * [taylor]: Taking taylor expansion of (pow (* N (+ N 1.0)) 1/3) in N 0.733 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (+ N 1.0))))) in N 0.733 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (+ N 1.0)))) in N 0.733 * [taylor]: Taking taylor expansion of 1/3 in N 0.733 * [taylor]: Taking taylor expansion of (log (* N (+ N 1.0))) in N 0.733 * [taylor]: Taking taylor expansion of (* N (+ N 1.0)) in N 0.733 * [taylor]: Taking taylor expansion of N in N 0.733 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.733 * [taylor]: Taking taylor expansion of N in N 0.733 * [taylor]: Taking taylor expansion of 1.0 in N 0.768 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in (N) around 0 0.768 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.768 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.768 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.768 * [taylor]: Taking taylor expansion of 1/3 in N 0.768 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.769 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.769 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.769 * [taylor]: Taking taylor expansion of N in N 0.769 * [taylor]: Taking taylor expansion of 1.0 in N 0.769 * [taylor]: Taking taylor expansion of N in N 0.770 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1.0) N) 1/3) in N 0.770 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1.0) N)))) in N 0.770 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1.0) N))) in N 0.770 * [taylor]: Taking taylor expansion of 1/3 in N 0.770 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1.0) N)) in N 0.770 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.770 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.770 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.770 * [taylor]: Taking taylor expansion of N in N 0.770 * [taylor]: Taking taylor expansion of 1.0 in N 0.770 * [taylor]: Taking taylor expansion of N in N 0.801 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in (N) around 0 0.801 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.801 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.801 * [taylor]: Taking taylor expansion of -1 in N 0.802 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.802 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.802 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.802 * [taylor]: Taking taylor expansion of 1/3 in N 0.802 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.802 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.802 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.802 * [taylor]: Taking taylor expansion of 1.0 in N 0.802 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.802 * [taylor]: Taking taylor expansion of N in N 0.802 * [taylor]: Taking taylor expansion of N in N 0.805 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ (- 1.0 (/ 1 N)) N) 1/3)) in N 0.805 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.805 * [taylor]: Taking taylor expansion of -1 in N 0.806 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) N) 1/3) in N 0.806 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) N)))) in N 0.806 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) N))) in N 0.806 * [taylor]: Taking taylor expansion of 1/3 in N 0.806 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) N)) in N 0.806 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.806 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.806 * [taylor]: Taking taylor expansion of 1.0 in N 0.806 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.806 * [taylor]: Taking taylor expansion of N in N 0.807 * [taylor]: Taking taylor expansion of N in N 0.842 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.842 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.843 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.843 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.843 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.844 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.844 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.845 * [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 0.845 * [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 0.847 * [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 0.852 * * * [progress]: simplifying candidates 0.853 * [simplify]: Simplifying using # : (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (cbrt N) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (* (* (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (+ (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* 0.05555555555555555 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2))) (* 0.3333333333333333 (* (exp (* 1/3 (+ (log 1.0) (log N)))) N)))) (* 1/6 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (pow N 2)) (pow 1.0 2)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (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))) 0.858 * * [simplify]: iteration 0 : 208 enodes (cost 572 ) 0.862 * * [simplify]: iteration 1 : 609 enodes (cost 524 ) 0.873 * * [simplify]: iteration 2 : 2244 enodes (cost 482 ) 0.921 * * [simplify]: iteration 3 : 5002 enodes (cost 474 ) 0.923 * [simplify]: Simplified to: (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (cbrt (* (+ N 1.0) N))) (exp (cbrt (* (+ N 1.0) N))) (cbrt (+ N 1.0)) (pow N 1/3) (cbrt (* (+ (pow N 3) (pow 1.0 3)) N)) (cbrt (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (cbrt (* (- (* N N) (* 1.0 1.0)) N)) (cbrt (- N 1.0)) (* (cbrt (cbrt (* (+ N 1.0) N))) (cbrt (cbrt (* (+ N 1.0) N)))) (cbrt (cbrt (* (+ N 1.0) N))) (* (+ N 1.0) N) (sqrt (cbrt (* (+ N 1.0) N))) (sqrt (cbrt (* (+ N 1.0) N))) (log (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (exp (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (* (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N))))))) (cbrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (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) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (sqrt (atan2 1.0 (+ 1 (* (* (cbrt (* (+ N 1.0) N)) (cbrt (* (+ N 1.0) N))) (cbrt (* (+ N 1.0) N)))))) (- (* (* (pow N 1/3) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555))) (- (* (/ 1/6 (/ 1.0 N)) (/ (* (pow N 1/3) (pow 1.0 1/3)) (/ 1.0 N))) (* (pow N 1/3) (pow 1.0 1/3)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (* (* (pow N 1/3) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555))) (- (* (/ 1/6 (/ 1.0 N)) (/ (* (pow N 1/3) (pow 1.0 1/3)) (/ 1.0 N))) (* (pow N 1/3) (pow 1.0 1/3)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (- (* (* (pow N 1/3) (pow 1.0 1/3)) (+ (* N 0.3333333333333333) (* (pow N 2) 0.05555555555555555))) (- (* (/ 1/6 (/ 1.0 N)) (/ (* (pow N 1/3) (pow 1.0 1/3)) (/ 1.0 N))) (* (pow N 1/3) (pow 1.0 1/3)))) (- (+ (pow (/ 1 N) -2/3) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 4)) 1/3))) (- (+ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (* 0.3333333333333333 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) N))) (* 0.1111111111111111 (/ (* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 N))))))) (pow N 2)))) (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))) 0.924 * * * [progress]: adding candidates to table 1.103 * * [progress]: iteration 4 / 4 1.103 * * * [progress]: picking best candidate 1.110 * * * * [pick]: Picked # 1.110 * * * [progress]: localizing error 1.119 * * * [progress]: generating rewritten candidates 1.119 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.119 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.120 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.127 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.129 * * * [progress]: generating series expansions 1.129 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.129 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 1.129 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 1.129 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.130 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 1.130 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.138 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 1.138 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 1.138 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.139 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 1.139 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.143 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 1.143 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 1.143 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.144 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 1.144 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.148 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.148 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 1.148 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 1.148 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.149 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 1.149 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.153 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 1.153 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 1.153 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.154 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 1.154 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.158 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 1.158 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 1.158 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.159 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 1.159 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.164 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.164 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 1.164 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.164 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.165 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 1.165 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.165 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.166 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 1.166 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.166 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.167 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.167 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 1.167 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.167 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 1.168 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 1.168 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.168 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 1.168 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 1.169 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.169 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 1.169 * * * [progress]: simplifying candidates 1.171 * [simplify]: Simplifying using # : (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt 1) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt 1) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (/ 1 2) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (+ 1 1) (+ (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (log (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (exp (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (cbrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (* (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* 1 1) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt 1)) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 1) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (* (* (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) 1.176 * * [simplify]: iteration 0 : 110 enodes (cost 649 ) 1.179 * * [simplify]: iteration 1 : 391 enodes (cost 565 ) 1.190 * * [simplify]: iteration 2 : 2248 enodes (cost 539 ) 1.270 * * [simplify]: iteration 3 : 5001 enodes (cost 520 ) 1.273 * [simplify]: Simplified to: (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (pow (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 3) (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 1 (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 1/2 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (log (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (exp (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (pow (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 3) (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 1 (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 1/2 (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 1 1 2 1 1 (pow (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 4) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (pow (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 4) 2 (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (pow (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 4) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4) (* (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))))) (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 1 (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 1 (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) 1 2 1 (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 5) (* (fabs (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (cbrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4) (* (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (pow (sqrt (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 3) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (log (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (exp (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (sqrt (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N))))) 4) (cbrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (pow (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 3) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (sqrt (atan2 1.0 (+ 1 (* (+ N 1.0) N)))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) (atan2 1.0 (+ 1 (* (+ N 1.0) N))) 1.274 * * * [progress]: adding candidates to table 1.402 * [progress]: [Phase 3 of 3] Extracting. 1.402 * * [regime]: Finding splitpoints for: (# # # # # #) 1.403 * * * [regime-changes]: Trying 1 branch expressions: (N) 1.403 * * * * [regimes]: Trying to branch on N from (# # # # # #) 1.423 * * * [regime]: Found split indices: #