4.467 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0.036 * * [simplify]: iteration 0 : 70 enodes (cost 7 ) 0.036 * * [simplify]: iteration 1 : 70 enodes (cost 7 ) 0.037 * [simplify]: Simplified to: (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.038 * * * * [pick]: Picked # 0.038 * * * [progress]: localizing error 0.044 * * * [progress]: generating rewritten candidates 0.044 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.048 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.049 * * * [progress]: generating series expansions 0.049 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.049 * [approximate]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in (N) around 0 0.049 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.049 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.050 * [taylor]: Taking taylor expansion of (atan N) in N 0.050 * [taylor]: Taking taylor expansion of (- (atan (+ N 1)) (atan N)) in N 0.050 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.050 * [taylor]: Taking taylor expansion of (atan N) in N 0.050 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in (N) around 0 0.050 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.050 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.050 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.050 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1)) (atan (/ 1 N))) in N 0.050 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.050 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.051 * [approximate]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.051 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.051 * [taylor]: Taking taylor expansion of (- (atan (- 1 (/ 1 N))) (atan (/ -1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.051 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.052 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.052 * [approximate]: Taking taylor expansion of (atan (+ N 1)) in (N) around 0 0.052 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ N 1)) in N 0.052 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in (N) around 0 0.052 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.052 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1)) in N 0.052 * [approximate]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in (N) around 0 0.052 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.052 * [taylor]: Taking taylor expansion of (atan (- 1 (/ 1 N))) in N 0.053 * * * [progress]: simplifying candidates 0.053 * [simplify]: Simplifying using # : (-.f64 (+.f64 N 1) N) (+.f64 1 (*.f64 (+.f64 N 1) N)) (/.f64 (exp.f64 (atan.f64 (+.f64 N 1))) (exp.f64 (atan.f64 N))) (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (*.f64 (atan.f64 (+.f64 N 1)) (atan.f64 (+.f64 N 1))) (+.f64 (*.f64 (atan.f64 N) (atan.f64 N)) (*.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (neg.f64 (atan.f64 N)) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 N) (atan.f64 N))) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (log.f64 (atan.f64 (+.f64 N 1))) (exp.f64 (atan.f64 (+.f64 N 1))) (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (atan.f64 (+.f64 N 1))) (*.f64 (*.f64 (atan.f64 (+.f64 N 1)) (atan.f64 (+.f64 N 1))) (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (atan.f64 (+.f64 N 1)) (atan.f64 (+.f64 N 1)) (atan.f64 (+.f64 N 1)) 0.114 * * [simplify]: iteration 0 : 4923 enodes (cost 236 ) 0.114 * * [simplify]: iteration 1 : 4923 enodes (cost 236 ) 0.115 * [simplify]: Simplified to: 1 (+.f64 1 (*.f64 N (+.f64 N 1))) (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (log.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (exp.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (pow.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) 3) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N))) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (*.f64 (atan.f64 N) (atan.f64 N)) (*.f64 (atan.f64 (+.f64 N 1)) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)))) (neg.f64 (atan.f64 N)) (-.f64 (*.f64 (atan.f64 (+.f64 N 1)) (atan.f64 (+.f64 N 1))) (*.f64 (atan.f64 N) (atan.f64 N))) (+.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 N))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (log.f64 (atan.f64 (+.f64 N 1))) (exp.f64 (atan.f64 (+.f64 N 1))) (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1))) (cbrt.f64 (atan.f64 (+.f64 N 1)))) (cbrt.f64 (atan.f64 (+.f64 N 1))) (pow.f64 (atan.f64 (+.f64 N 1)) 3) (sqrt.f64 (atan.f64 (+.f64 N 1))) (sqrt.f64 (atan.f64 (+.f64 N 1))) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) (atan.f64 (+.f64 N 1)) (atan.f64 (+.f64 N 1)) (atan.f64 (+.f64 N 1)) 0.116 * * * [progress]: adding candidates to table 0.129 * * [progress]: iteration 2 / 4 0.129 * * * [progress]: picking best candidate 0.131 * * * * [pick]: Picked # 0.131 * * * [progress]: localizing error 0.139 * * * [progress]: generating rewritten candidates 0.139 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.140 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.147 * * * [progress]: generating series expansions 0.147 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.147 * [approximate]: Taking taylor expansion of (atan2 1 (+ (pow N 2) (+ N 1))) in (N) around 0 0.147 * [taylor]: Taking taylor expansion of (atan2 1 (+ (pow N 2) (+ N 1))) in N 0.147 * [taylor]: Taking taylor expansion of (atan2 1 (+ (pow N 2) (+ N 1))) in N 0.148 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.148 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) in N 0.148 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) in N 0.149 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 0.149 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 0.149 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 0.149 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.149 * [approximate]: Taking taylor expansion of (* (+ N 1) N) in (N) around 0 0.149 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 0.149 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.150 * [taylor]: Taking taylor expansion of N in N 0.150 * [taylor]: Taking taylor expansion of 1 in N 0.150 * [taylor]: Taking taylor expansion of N in N 0.150 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 0.150 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.150 * [taylor]: Taking taylor expansion of N in N 0.150 * [taylor]: Taking taylor expansion of 1 in N 0.150 * [taylor]: Taking taylor expansion of N in N 0.150 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in (N) around 0 0.150 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.151 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.151 * [taylor]: Taking taylor expansion of N in N 0.151 * [taylor]: Taking taylor expansion of 1 in N 0.151 * [taylor]: Taking taylor expansion of N in N 0.151 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.151 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.151 * [taylor]: Taking taylor expansion of N in N 0.151 * [taylor]: Taking taylor expansion of 1 in N 0.151 * [taylor]: Taking taylor expansion of N in N 0.152 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in (N) around 0 0.152 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 0.152 * [taylor]: Taking taylor expansion of -1 in N 0.152 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 0.152 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.152 * [taylor]: Taking taylor expansion of 1 in N 0.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.152 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1 (/ 1 N)) N)) in N 0.152 * [taylor]: Taking taylor expansion of -1 in N 0.152 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 0.152 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.152 * [taylor]: Taking taylor expansion of 1 in N 0.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.154 * * * [progress]: simplifying candidates 0.155 * [simplify]: Simplifying using # : (log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))) (exp.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))) (*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))) (*.f64 (*.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))) (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))) (*.f64 N (+.f64 N 1)) (+.f64 (log.f64 N) (log.f64 (+.f64 N 1))) (log.f64 (*.f64 N (+.f64 N 1))) (exp.f64 (*.f64 N (+.f64 N 1))) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 (+.f64 N 1) (+.f64 N 1)) (+.f64 N 1))) (*.f64 (cbrt.f64 (*.f64 N (+.f64 N 1))) (cbrt.f64 (*.f64 N (+.f64 N 1)))) (cbrt.f64 (*.f64 N (+.f64 N 1))) (*.f64 (*.f64 (*.f64 N (+.f64 N 1)) (*.f64 N (+.f64 N 1))) (*.f64 N (+.f64 N 1))) (sqrt.f64 (*.f64 N (+.f64 N 1))) (sqrt.f64 (*.f64 N (+.f64 N 1))) (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 N 1))) (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 N 1))) (*.f64 N N) (*.f64 N 1) (*.f64 N N) (*.f64 1 N) (*.f64 N (*.f64 (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N 1)))) (*.f64 N (sqrt.f64 (+.f64 N 1))) (*.f64 N 1) (*.f64 N 1) (*.f64 (cbrt.f64 N) (+.f64 N 1)) (*.f64 (sqrt.f64 N) (+.f64 N 1)) (*.f64 N (+.f64 N 1)) (*.f64 N (+.f64 (pow.f64 N 3) (pow.f64 1 3))) (*.f64 N (-.f64 (*.f64 N N) (*.f64 1 1))) (atan2.f64 1 (+.f64 (pow.f64 N 2) (+.f64 N 1))) (atan2.f64 1 (+.f64 (pow.f64 N 2) (+.f64 N 1))) (atan2.f64 1 (+.f64 (pow.f64 N 2) (+.f64 N 1))) (+.f64 (pow.f64 N 2) N) (+.f64 (pow.f64 N 2) N) (+.f64 (pow.f64 N 2) N) 0.210 * * [simplify]: iteration 0 : 5066 enodes (cost 260 ) 0.212 * [simplify]: Simplified to: (log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))) (exp.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))) (*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))) (pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) 3) (sqrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N))))) (*.f64 N (+.f64 1 N)) (log.f64 (*.f64 N (+.f64 1 N))) (log.f64 (*.f64 N (+.f64 1 N))) (exp.f64 (*.f64 N (+.f64 1 N))) (pow.f64 (*.f64 N (+.f64 1 N)) 3) (*.f64 (cbrt.f64 (*.f64 N (+.f64 1 N))) (cbrt.f64 (*.f64 N (+.f64 1 N)))) (cbrt.f64 (*.f64 N (+.f64 1 N))) (pow.f64 (*.f64 N (+.f64 1 N)) 3) (sqrt.f64 (*.f64 N (+.f64 1 N))) (sqrt.f64 (*.f64 N (+.f64 1 N))) (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))) (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1 N))) (*.f64 N N) N (*.f64 N N) N (*.f64 N (*.f64 (cbrt.f64 (+.f64 1 N)) (cbrt.f64 (+.f64 1 N)))) (*.f64 N (sqrt.f64 (+.f64 1 N))) N N (*.f64 (+.f64 1 N) (cbrt.f64 N)) (*.f64 (+.f64 1 N) (sqrt.f64 N)) (*.f64 N (+.f64 1 N)) (+.f64 N (pow.f64 N 4)) (-.f64 (pow.f64 N 3) N) (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 1 N)))) (*.f64 N (+.f64 1 N)) (*.f64 N (+.f64 1 N)) (*.f64 N (+.f64 1 N)) 0.213 * * * [progress]: adding candidates to table 0.233 * * [progress]: iteration 3 / 4 0.233 * * * [progress]: picking best candidate 0.238 * * * * [pick]: Picked # 0.238 * * * [progress]: localizing error 0.243 * * * [progress]: generating rewritten candidates 0.243 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.243 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.251 * * * [progress]: generating series expansions 0.251 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.251 * [approximate]: Taking taylor expansion of (atan2 1 (+ (pow N 2) (+ N 1))) in (N) around 0 0.251 * [taylor]: Taking taylor expansion of (atan2 1 (+ (pow N 2) (+ N 1))) in N 0.251 * [taylor]: Taking taylor expansion of (atan2 1 (+ (pow N 2) (+ N 1))) in N 0.252 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.252 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) in N 0.252 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) in N 0.252 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in (N) around 0 0.252 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 0.253 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ 1 (pow N 2)) 1) (/ 1 N))) in N 0.253 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.253 * [approximate]: Taking taylor expansion of (+ (pow N 2) N) in (N) around 0 0.253 * [taylor]: Taking taylor expansion of (+ (pow N 2) N) in N 0.253 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.253 * [taylor]: Taking taylor expansion of N in N 0.253 * [taylor]: Taking taylor expansion of N in N 0.253 * [taylor]: Taking taylor expansion of (+ (pow N 2) N) in N 0.253 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.253 * [taylor]: Taking taylor expansion of N in N 0.253 * [taylor]: Taking taylor expansion of N in N 0.254 * [approximate]: Taking taylor expansion of (+ (/ 1 N) (/ 1 (pow N 2))) in (N) around 0 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (/ 1 (pow N 2))) in N 0.254 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.254 * [taylor]: Taking taylor expansion of N in N 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.254 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.254 * [taylor]: Taking taylor expansion of N in N 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (/ 1 (pow N 2))) in N 0.254 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.254 * [taylor]: Taking taylor expansion of N in N 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.254 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.254 * [taylor]: Taking taylor expansion of N in N 0.256 * [approximate]: Taking taylor expansion of (- (/ 1 (pow N 2)) (/ 1 N)) in (N) around 0 0.256 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) (/ 1 N)) in N 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.256 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.256 * [taylor]: Taking taylor expansion of N in N 0.256 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.256 * [taylor]: Taking taylor expansion of N in N 0.256 * [taylor]: Taking taylor expansion of (- (/ 1 (pow N 2)) (/ 1 N)) in N 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 0.256 * [taylor]: Taking taylor expansion of (pow N 2) in N 0.256 * [taylor]: Taking taylor expansion of N in N 0.256 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.256 * [taylor]: Taking taylor expansion of N in N 0.258 * * * [progress]: simplifying candidates 0.258 * [simplify]: Simplifying using # : (log.f64 (atan2.f64 1 (+.f64 1 (+.f64 (*.f64 N N) N)))) (exp.f64 (atan2.f64 1 (+.f64 1 (+.f64 (*.f64 N N) N)))) (*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 (*.f64 N N) N)))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 (*.f64 N N) N))))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 (*.f64 N N) N)))) (*.f64 (*.f64 (atan2.f64 1 (+.f64 1 (+.f64 (*.f64 N N) N))) (atan2.f64 1 (+.f64 1 (+.f64 (*.f64 N N) N)))) (atan2.f64 1 (+.f64 1 (+.f64 (*.f64 N N) N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 (*.f64 N N) N)))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 (*.f64 N N) N)))) (*.f64 (exp.f64 (*.f64 N N)) (exp.f64 N)) (log.f64 (+.f64 (*.f64 N N) N)) (exp.f64 (+.f64 (*.f64 N N) N)) (*.f64 (cbrt.f64 (+.f64 (*.f64 N N) N)) (cbrt.f64 (+.f64 (*.f64 N N) N))) (cbrt.f64 (+.f64 (*.f64 N N) N)) (*.f64 (*.f64 (+.f64 (*.f64 N N) N) (+.f64 (*.f64 N N) N)) (+.f64 (*.f64 N N) N)) (sqrt.f64 (+.f64 (*.f64 N N) N)) (sqrt.f64 (+.f64 (*.f64 N N) N)) (+.f64 (pow.f64 (*.f64 N N) 3) (pow.f64 N 3)) (+.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (-.f64 (*.f64 N N) (*.f64 (*.f64 N N) N))) (-.f64 (*.f64 (*.f64 N N) (*.f64 N N)) (*.f64 N N)) (-.f64 (*.f64 N N) N) (+.f64 N 1) (+.f64 N 1) (atan2.f64 1 (+.f64 (pow.f64 N 2) (+.f64 N 1))) (atan2.f64 1 (+.f64 (pow.f64 N 2) (+.f64 N 1))) (atan2.f64 1 (+.f64 (pow.f64 N 2) (+.f64 N 1))) (+.f64 (pow.f64 N 2) N) (+.f64 (pow.f64 N 2) N) (+.f64 (pow.f64 N 2) N) 0.325 * * [simplify]: iteration 0 : 4939 enodes (cost 216 ) 0.325 * * [simplify]: iteration 1 : 4939 enodes (cost 216 ) 0.327 * [simplify]: Simplified to: (log.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))) (exp.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))) (*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))) (pow.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) 3) (sqrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N))))) (exp.f64 (+.f64 N (*.f64 N N))) (log.f64 (+.f64 N (*.f64 N N))) (exp.f64 (+.f64 N (*.f64 N N))) (*.f64 (cbrt.f64 (+.f64 N (*.f64 N N))) (cbrt.f64 (+.f64 N (*.f64 N N)))) (cbrt.f64 (+.f64 N (*.f64 N N))) (pow.f64 (+.f64 N (*.f64 N N)) 3) (sqrt.f64 (+.f64 N (*.f64 N N))) (sqrt.f64 (+.f64 N (*.f64 N N))) (+.f64 (pow.f64 N 6) (pow.f64 N 3)) (+.f64 (pow.f64 N 4) (-.f64 (*.f64 N N) (pow.f64 N 3))) (-.f64 (pow.f64 N 4) (*.f64 N N)) (-.f64 (*.f64 N N) N) (+.f64 1 N) (+.f64 1 N) (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) (atan2.f64 1 (+.f64 1 (+.f64 N (*.f64 N N)))) (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N)) (+.f64 N (*.f64 N N)) 0.327 * * * [progress]: adding candidates to table 0.338 * * [progress]: iteration 4 / 4 0.338 * * * [progress]: picking best candidate 0.342 * * * * [pick]: Picked # 0.342 * * * [progress]: localizing error 0.351 * * * [progress]: generating rewritten candidates 0.351 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 0.356 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2) 0.361 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 0.366 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.368 * * * [progress]: generating series expansions 0.368 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 0.368 * [approximate]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in (N) around 0 0.368 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 0.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 0.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 0.368 * [taylor]: Taking taylor expansion of 1/3 in N 0.368 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 0.368 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 0.368 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.368 * [taylor]: Taking taylor expansion of N in N 0.368 * [taylor]: Taking taylor expansion of 1 in N 0.368 * [taylor]: Taking taylor expansion of N in N 0.368 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 0.368 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 0.368 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 0.368 * [taylor]: Taking taylor expansion of 1/3 in N 0.368 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 0.368 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 0.368 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.368 * [taylor]: Taking taylor expansion of N in N 0.368 * [taylor]: Taking taylor expansion of 1 in N 0.368 * [taylor]: Taking taylor expansion of N in N 0.370 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in (N) around 0 0.370 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 0.370 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 0.370 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 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) 1) N)) in N 0.370 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) 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 1 in N 0.370 * [taylor]: Taking taylor expansion of N in N 0.370 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 0.370 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 0.370 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 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) 1) N)) in N 0.370 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) 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 1 in N 0.370 * [taylor]: Taking taylor expansion of N in N 0.372 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 0.372 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 0.372 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 0.372 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 0.372 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 0.372 * [taylor]: Taking taylor expansion of 1/3 in N 0.372 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 0.372 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 0.372 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.372 * [taylor]: Taking taylor expansion of 1 in N 0.372 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.372 * [taylor]: Taking taylor expansion of N in N 0.373 * [taylor]: Taking taylor expansion of N in N 0.373 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.373 * [taylor]: Taking taylor expansion of -1 in N 0.373 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 0.373 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 0.373 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 0.373 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 0.373 * [taylor]: Taking taylor expansion of 1/3 in N 0.373 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 0.373 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 0.373 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.373 * [taylor]: Taking taylor expansion of 1 in N 0.373 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.373 * [taylor]: Taking taylor expansion of N in N 0.373 * [taylor]: Taking taylor expansion of N in N 0.373 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.373 * [taylor]: Taking taylor expansion of -1 in N 0.377 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2) 0.377 * [approximate]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in (N) around 0 0.377 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 0.377 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 0.377 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 0.377 * [taylor]: Taking taylor expansion of 1/3 in N 0.377 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 0.377 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 0.377 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.377 * [taylor]: Taking taylor expansion of N in N 0.377 * [taylor]: Taking taylor expansion of 1 in N 0.377 * [taylor]: Taking taylor expansion of N in N 0.377 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 0.377 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 0.377 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 0.377 * [taylor]: Taking taylor expansion of 1/3 in N 0.377 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 0.377 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 0.377 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.377 * [taylor]: Taking taylor expansion of N in N 0.377 * [taylor]: Taking taylor expansion of 1 in N 0.377 * [taylor]: Taking taylor expansion of N in N 0.379 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in (N) around 0 0.379 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 0.379 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 0.379 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 0.379 * [taylor]: Taking taylor expansion of 1/3 in N 0.379 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 0.379 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.379 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.379 * [taylor]: Taking taylor expansion of N in N 0.379 * [taylor]: Taking taylor expansion of 1 in N 0.379 * [taylor]: Taking taylor expansion of N in N 0.379 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 0.379 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 0.379 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 0.379 * [taylor]: Taking taylor expansion of 1/3 in N 0.379 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 0.379 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.379 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.379 * [taylor]: Taking taylor expansion of N in N 0.379 * [taylor]: Taking taylor expansion of 1 in N 0.379 * [taylor]: Taking taylor expansion of N in N 0.381 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 0.381 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 0.381 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 0.381 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 0.381 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 0.381 * [taylor]: Taking taylor expansion of 1/3 in N 0.381 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 0.381 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 0.381 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.381 * [taylor]: Taking taylor expansion of 1 in N 0.381 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.381 * [taylor]: Taking taylor expansion of N in N 0.381 * [taylor]: Taking taylor expansion of N in N 0.381 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.381 * [taylor]: Taking taylor expansion of -1 in N 0.382 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 0.382 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 0.382 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 0.382 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 0.382 * [taylor]: Taking taylor expansion of 1/3 in N 0.382 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 0.382 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 0.382 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.382 * [taylor]: Taking taylor expansion of 1 in N 0.382 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.382 * [taylor]: Taking taylor expansion of N in N 0.382 * [taylor]: Taking taylor expansion of N in N 0.382 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.382 * [taylor]: Taking taylor expansion of -1 in N 0.385 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 0.385 * [approximate]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in (N) around 0 0.385 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 0.385 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 0.385 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 0.385 * [taylor]: Taking taylor expansion of 1/3 in N 0.385 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 0.385 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 0.385 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.385 * [taylor]: Taking taylor expansion of N in N 0.385 * [taylor]: Taking taylor expansion of 1 in N 0.385 * [taylor]: Taking taylor expansion of N in N 0.386 * [taylor]: Taking taylor expansion of (pow (* (+ N 1) N) 1/3) in N 0.386 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (+ N 1) N)))) in N 0.386 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (+ N 1) N))) in N 0.386 * [taylor]: Taking taylor expansion of 1/3 in N 0.386 * [taylor]: Taking taylor expansion of (log (* (+ N 1) N)) in N 0.386 * [taylor]: Taking taylor expansion of (* (+ N 1) N) in N 0.386 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.386 * [taylor]: Taking taylor expansion of N in N 0.386 * [taylor]: Taking taylor expansion of 1 in N 0.386 * [taylor]: Taking taylor expansion of N in N 0.387 * [approximate]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in (N) around 0 0.387 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 0.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 0.387 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 0.387 * [taylor]: Taking taylor expansion of 1/3 in N 0.387 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 0.387 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.387 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.387 * [taylor]: Taking taylor expansion of N in N 0.387 * [taylor]: Taking taylor expansion of 1 in N 0.387 * [taylor]: Taking taylor expansion of N in N 0.387 * [taylor]: Taking taylor expansion of (pow (/ (+ (/ 1 N) 1) N) 1/3) in N 0.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (+ (/ 1 N) 1) N)))) in N 0.387 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (+ (/ 1 N) 1) N))) in N 0.387 * [taylor]: Taking taylor expansion of 1/3 in N 0.388 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 N) 1) N)) in N 0.388 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1) N) in N 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.388 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.388 * [taylor]: Taking taylor expansion of N in N 0.388 * [taylor]: Taking taylor expansion of 1 in N 0.388 * [taylor]: Taking taylor expansion of N in N 0.389 * [approximate]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in (N) around 0 0.389 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 0.389 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 0.389 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 0.389 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 0.389 * [taylor]: Taking taylor expansion of 1/3 in N 0.389 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 0.389 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 0.389 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.389 * [taylor]: Taking taylor expansion of 1 in N 0.389 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.389 * [taylor]: Taking taylor expansion of N in N 0.390 * [taylor]: Taking taylor expansion of N in N 0.390 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.390 * [taylor]: Taking taylor expansion of -1 in N 0.390 * [taylor]: Taking taylor expansion of (* (pow (/ (- 1 (/ 1 N)) N) 1/3) (cbrt -1)) in N 0.390 * [taylor]: Taking taylor expansion of (pow (/ (- 1 (/ 1 N)) N) 1/3) in N 0.390 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 N)) N)))) in N 0.390 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 N)) N))) in N 0.390 * [taylor]: Taking taylor expansion of 1/3 in N 0.390 * [taylor]: Taking taylor expansion of (log (/ (- 1 (/ 1 N)) N)) in N 0.390 * [taylor]: Taking taylor expansion of (/ (- 1 (/ 1 N)) N) in N 0.390 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.390 * [taylor]: Taking taylor expansion of 1 in N 0.390 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.390 * [taylor]: Taking taylor expansion of N in N 0.390 * [taylor]: Taking taylor expansion of N in N 0.390 * [taylor]: Taking taylor expansion of (cbrt -1) in N 0.390 * [taylor]: Taking taylor expansion of -1 in N 0.395 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.396 * [approximate]: Taking taylor expansion of (atan2 1 (+ (pow N 2) (+ N 1))) in (N) around 0 0.396 * [taylor]: Taking taylor expansion of (atan2 1 (+ (pow N 2) (+ N 1))) in N 0.396 * [taylor]: Taking taylor expansion of (atan2 1 (+ (pow N 2) (+ N 1))) in N 0.397 * [approximate]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.397 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) in N 0.397 * [taylor]: Taking taylor expansion of (atan2 1 (+ (/ 1 N) (+ (/ 1 (pow N 2)) 1))) in N 0.398 * [approximate]: Taking taylor expansion of (atan2 1 (- (+ (/ (pow (cbrt -1) 3) N) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in (N) around 0 0.398 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ (pow (cbrt -1) 3) N) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 0.398 * [taylor]: Taking taylor expansion of (atan2 1 (- (+ (/ (pow (cbrt -1) 3) N) 1) (/ (pow (cbrt -1) 3) (pow N 2)))) in N 0.399 * * * [progress]: simplifying candidates 0.400 * [simplify]: Simplifying using # : (log.f64 (cbrt.f64 (*.f64 N (+.f64 1 N)))) (exp.f64 (cbrt.f64 (*.f64 N (+.f64 1 N)))) (cbrt.f64 N) (cbrt.f64 (+.f64 1 N)) (cbrt.f64 (*.f64 N (+.f64 (pow.f64 1 3) (pow.f64 N 3)))) (cbrt.f64 (+.f64 (*.f64 1 1) (-.f64 (*.f64 N N) (*.f64 1 N)))) (cbrt.f64 (*.f64 N (-.f64 (*.f64 1 1) (*.f64 N N)))) (cbrt.f64 (-.f64 1 N)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 N (+.f64 1 N)))) (cbrt.f64 (cbrt.f64 (*.f64 N (+.f64 1 N))))) (cbrt.f64 (cbrt.f64 (*.f64 N (+.f64 1 N)))) (*.f64 (*.f64 (cbrt.f64 (*.f64 N (+.f64 1 N))) (cbrt.f64 (*.f64 N (+.f64 1 N)))) (cbrt.f64 (*.f64 N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (*.f64 N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (*.f64 N (+.f64 1 N)))) (log.f64 (cbrt.f64 (*.f64 N (+.f64 1 N)))) (exp.f64 (cbrt.f64 (*.f64 N (+.f64 1 N)))) (cbrt.f64 N) (cbrt.f64 (+.f64 1 N)) (cbrt.f64 (*.f64 N (+.f64 (pow.f64 1 3) (pow.f64 N 3)))) (cbrt.f64 (+.f64 (*.f64 1 1) (-.f64 (*.f64 N N) (*.f64 1 N)))) (cbrt.f64 (*.f64 N (-.f64 (*.f64 1 1) (*.f64 N N)))) (cbrt.f64 (-.f64 1 N)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 N (+.f64 1 N)))) (cbrt.f64 (cbrt.f64 (*.f64 N (+.f64 1 N))))) (cbrt.f64 (cbrt.f64 (*.f64 N (+.f64 1 N)))) (*.f64 (*.f64 (cbrt.f64 (*.f64 N (+.f64 1 N))) (cbrt.f64 (*.f64 N (+.f64 1 N)))) (cbrt.f64 (*.f64 N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (*.f64 N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (*.f64 N (+.f64 1 N)))) (log.f64 (cbrt.f64 (*.f64 N (+.f64 1 N)))) (exp.f64 (cbrt.f64 (*.f64 N (+.f64 1 N)))) (cbrt.f64 N) (cbrt.f64 (+.f64 1 N)) (cbrt.f64 (*.f64 N (+.f64 (pow.f64 1 3) (pow.f64 N 3)))) (cbrt.f64 (+.f64 (*.f64 1 1) (-.f64 (*.f64 N N) (*.f64 1 N)))) (cbrt.f64 (*.f64 N (-.f64 (*.f64 1 1) (*.f64 N N)))) (cbrt.f64 (-.f64 1 N)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 N (+.f64 1 N)))) (cbrt.f64 (cbrt.f64 (*.f64 N (+.f64 1 N))))) (cbrt.f64 (cbrt.f64 (*.f64 N (+.f64 1 N)))) (*.f64 (*.f64 (cbrt.f64 (*.f64 N (+.f64 1 N))) (cbrt.f64 (*.f64 N (+.f64 1 N)))) (cbrt.f64 (*.f64 N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (*.f64 N (+.f64 1 N)))) (sqrt.f64 (cbrt.f64 (*.f64 N (+.f64 1 N)))) (log.f64 (atan2.f64 1 (+.f64 1 (*.f64 (*.f64 (cbrt.f64 (*.f64 N (+.f64 1 N))) (cbrt.f64 (*.f64 N (+.f64 1 N)))) (cbrt.f64 (*.f64 N (+.f64 1 N))))))) (exp.f64 (atan2.f64 1 (+.f64 1 (*.f64 (*.f64 (cbrt.f64 (*.f64 N (+.f64 1 N))) (cbrt.f64 (*.f64 N (+.f64 1 N)))) (cbrt.f64 (*.f64 N (+.f64 1 N))))))) (*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 (*.f64 (cbrt.f64 (*.f64 N (+.f64 1 N))) (cbrt.f64 (*.f64 N (+.f64 1 N)))) (cbrt.f64 (*.f64 N (+.f64 1 N))))))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 (*.f64 (cbrt.f64 (*.f64 N (+.f64 1 N))) (cbrt.f64 (*.f64 N (+.f64 1 N)))) (cbrt.f64 (*.f64 N (+.f64 1 N)))))))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 (*.f64 (cbrt.f64 (*.f64 N (+.f64 1 N))) (cbrt.f64 (*.f64 N (+.f64 1 N)))) (cbrt.f64 (*.f64 N (+.f64 1 N))))))) (*.f64 (*.f64 (atan2.f64 1 (+.f64 1 (*.f64 (*.f64 (cbrt.f64 (*.f64 N (+.f64 1 N))) (cbrt.f64 (*.f64 N (+.f64 1 N)))) (cbrt.f64 (*.f64 N (+.f64 1 N)))))) (atan2.f64 1 (+.f64 1 (*.f64 (*.f64 (cbrt.f64 (*.f64 N (+.f64 1 N))) (cbrt.f64 (*.f64 N (+.f64 1 N)))) (cbrt.f64 (*.f64 N (+.f64 1 N))))))) (atan2.f64 1 (+.f64 1 (*.f64 (*.f64 (cbrt.f64 (*.f64 N (+.f64 1 N))) (cbrt.f64 (*.f64 N (+.f64 1 N)))) (cbrt.f64 (*.f64 N (+.f64 1 N))))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 (*.f64 (cbrt.f64 (*.f64 N (+.f64 1 N))) (cbrt.f64 (*.f64 N (+.f64 1 N)))) (cbrt.f64 (*.f64 N (+.f64 1 N))))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 (*.f64 (cbrt.f64 (*.f64 N (+.f64 1 N))) (cbrt.f64 (*.f64 N (+.f64 1 N)))) (cbrt.f64 (*.f64 N (+.f64 1 N))))))) (-.f64 (+.f64 (pow.f64 N 1/3) (*.f64 1/3 (pow.f64 (pow.f64 N 4) 1/3))) (*.f64 1/9 (pow.f64 (pow.f64 N 7) 1/3))) (-.f64 (+.f64 (pow.f64 (/.f64 1 N) -2/3) (*.f64 1/3 (pow.f64 (/.f64 1 N) 1/3))) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 N 4)) 1/3))) (-.f64 (+.f64 (*.f64 (cbrt.f64 -1) (exp.f64 (*.f64 1/3 (-.f64 (log.f64 -1) (*.f64 2 (log.f64 (/.f64 -1 N))))))) (*.f64 1/3 (/.f64 (*.f64 (cbrt.f64 -1) (exp.f64 (*.f64 1/3 (-.f64 (log.f64 -1) (*.f64 2 (log.f64 (/.f64 -1 N))))))) N))) (*.f64 1/9 (/.f64 (*.f64 (cbrt.f64 -1) (exp.f64 (*.f64 1/3 (-.f64 (log.f64 -1) (*.f64 2 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 2)))) (-.f64 (+.f64 (pow.f64 N 1/3) (*.f64 1/3 (pow.f64 (pow.f64 N 4) 1/3))) (*.f64 1/9 (pow.f64 (pow.f64 N 7) 1/3))) (-.f64 (+.f64 (pow.f64 (/.f64 1 N) -2/3) (*.f64 1/3 (pow.f64 (/.f64 1 N) 1/3))) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 N 4)) 1/3))) (-.f64 (+.f64 (*.f64 (cbrt.f64 -1) (exp.f64 (*.f64 1/3 (-.f64 (log.f64 -1) (*.f64 2 (log.f64 (/.f64 -1 N))))))) (*.f64 1/3 (/.f64 (*.f64 (cbrt.f64 -1) (exp.f64 (*.f64 1/3 (-.f64 (log.f64 -1) (*.f64 2 (log.f64 (/.f64 -1 N))))))) N))) (*.f64 1/9 (/.f64 (*.f64 (cbrt.f64 -1) (exp.f64 (*.f64 1/3 (-.f64 (log.f64 -1) (*.f64 2 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 2)))) (-.f64 (+.f64 (pow.f64 N 1/3) (*.f64 1/3 (pow.f64 (pow.f64 N 4) 1/3))) (*.f64 1/9 (pow.f64 (pow.f64 N 7) 1/3))) (-.f64 (+.f64 (pow.f64 (/.f64 1 N) -2/3) (*.f64 1/3 (pow.f64 (/.f64 1 N) 1/3))) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 N 4)) 1/3))) (-.f64 (+.f64 (*.f64 (cbrt.f64 -1) (exp.f64 (*.f64 1/3 (-.f64 (log.f64 -1) (*.f64 2 (log.f64 (/.f64 -1 N))))))) (*.f64 1/3 (/.f64 (*.f64 (cbrt.f64 -1) (exp.f64 (*.f64 1/3 (-.f64 (log.f64 -1) (*.f64 2 (log.f64 (/.f64 -1 N))))))) N))) (*.f64 1/9 (/.f64 (*.f64 (cbrt.f64 -1) (exp.f64 (*.f64 1/3 (-.f64 (log.f64 -1) (*.f64 2 (log.f64 (/.f64 -1 N))))))) (pow.f64 N 2)))) (atan2.f64 1 (+.f64 (pow.f64 N 2) (+.f64 N 1))) (atan2.f64 1 (+.f64 (pow.f64 N 2) (+.f64 N 1))) (atan2.f64 1 (+.f64 (pow.f64 N 2) (+.f64 N 1))) 0.439 * * [simplify]: iteration 0 : 4899 enodes (cost 568 ) 0.439 * * [simplify]: iteration 1 : 4899 enodes (cost 568 ) 0.442 * [simplify]: Simplified to: (log.f64 (cbrt.f64 (*.f64 N (+.f64 N 1)))) (exp.f64 (cbrt.f64 (*.f64 N (+.f64 N 1)))) (cbrt.f64 N) (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N (pow.f64 N 4))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 N N) N))) (cbrt.f64 (-.f64 N (pow.f64 N 3))) (cbrt.f64 (-.f64 1 N)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 N (+.f64 N 1)))) (cbrt.f64 (cbrt.f64 (*.f64 N (+.f64 N 1))))) (cbrt.f64 (cbrt.f64 (*.f64 N (+.f64 N 1)))) (*.f64 N (+.f64 N 1)) (sqrt.f64 (cbrt.f64 (*.f64 N (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 (*.f64 N (+.f64 N 1)))) (log.f64 (cbrt.f64 (*.f64 N (+.f64 N 1)))) (exp.f64 (cbrt.f64 (*.f64 N (+.f64 N 1)))) (cbrt.f64 N) (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N (pow.f64 N 4))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 N N) N))) (cbrt.f64 (-.f64 N (pow.f64 N 3))) (cbrt.f64 (-.f64 1 N)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 N (+.f64 N 1)))) (cbrt.f64 (cbrt.f64 (*.f64 N (+.f64 N 1))))) (cbrt.f64 (cbrt.f64 (*.f64 N (+.f64 N 1)))) (*.f64 N (+.f64 N 1)) (sqrt.f64 (cbrt.f64 (*.f64 N (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 (*.f64 N (+.f64 N 1)))) (log.f64 (cbrt.f64 (*.f64 N (+.f64 N 1)))) (exp.f64 (cbrt.f64 (*.f64 N (+.f64 N 1)))) (cbrt.f64 N) (cbrt.f64 (+.f64 N 1)) (cbrt.f64 (+.f64 N (pow.f64 N 4))) (cbrt.f64 (+.f64 1 (-.f64 (*.f64 N N) N))) (cbrt.f64 (-.f64 N (pow.f64 N 3))) (cbrt.f64 (-.f64 1 N)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 N (+.f64 N 1)))) (cbrt.f64 (cbrt.f64 (*.f64 N (+.f64 N 1))))) (cbrt.f64 (cbrt.f64 (*.f64 N (+.f64 N 1)))) (*.f64 N (+.f64 N 1)) (sqrt.f64 (cbrt.f64 (*.f64 N (+.f64 N 1)))) (sqrt.f64 (cbrt.f64 (*.f64 N (+.f64 N 1)))) (log.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))) (exp.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))) (*.f64 (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))))) (cbrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))) (pow.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) 3) (sqrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))) (sqrt.f64 (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1))))) (-.f64 (+.f64 (cbrt.f64 N) (*.f64 1/3 (cbrt.f64 (pow.f64 N 4)))) (*.f64 1/9 (cbrt.f64 (pow.f64 N 7)))) (-.f64 (+.f64 (pow.f64 (/.f64 1 N) -2/3) (*.f64 1/3 (cbrt.f64 (/.f64 1 N)))) (*.f64 1/9 (cbrt.f64 (/.f64 1 (pow.f64 N 4))))) (+.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 -1 N) -2/3))) (*.f64 (*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 -1 N) -2/3)) (*.f64 (/.f64 (cbrt.f64 -1) N) (+.f64 1/3 (/.f64 -1/9 N))))) (-.f64 (+.f64 (cbrt.f64 N) (*.f64 1/3 (cbrt.f64 (pow.f64 N 4)))) (*.f64 1/9 (cbrt.f64 (pow.f64 N 7)))) (-.f64 (+.f64 (pow.f64 (/.f64 1 N) -2/3) (*.f64 1/3 (cbrt.f64 (/.f64 1 N)))) (*.f64 1/9 (cbrt.f64 (/.f64 1 (pow.f64 N 4))))) (+.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 -1 N) -2/3))) (*.f64 (*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 -1 N) -2/3)) (*.f64 (/.f64 (cbrt.f64 -1) N) (+.f64 1/3 (/.f64 -1/9 N))))) (-.f64 (+.f64 (cbrt.f64 N) (*.f64 1/3 (cbrt.f64 (pow.f64 N 4)))) (*.f64 1/9 (cbrt.f64 (pow.f64 N 7)))) (-.f64 (+.f64 (pow.f64 (/.f64 1 N) -2/3) (*.f64 1/3 (cbrt.f64 (/.f64 1 N)))) (*.f64 1/9 (cbrt.f64 (/.f64 1 (pow.f64 N 4))))) (+.f64 (*.f64 (cbrt.f64 -1) (*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 -1 N) -2/3))) (*.f64 (*.f64 (cbrt.f64 -1) (pow.f64 (/.f64 -1 N) -2/3)) (*.f64 (/.f64 (cbrt.f64 -1) N) (+.f64 1/3 (/.f64 -1/9 N))))) (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) (atan2.f64 1 (+.f64 1 (*.f64 N (+.f64 N 1)))) 0.442 * * * [progress]: adding candidates to table 0.493 * [progress]: [Phase 3 of 3] Extracting. 0.493 * * [regime]: Finding splitpoints for: (# # # # #) 0.494 * * * [regime-changes]: Trying 2 branch expressions: ((-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) N) 0.494 * * * * [regimes]: Trying to branch on (-.f64 (atan.f64 (+.f64 N 1)) (atan.f64 N)) from (# # # # #) 0.510 * * * * [regimes]: Trying to branch on N from (# # # # #) 0.530 * * * [regime]: Found split indices: #