9.677 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.028 * * * [progress]: [2/2] Setting up program. 0.031 * [progress]: [Phase 2 of 3] Improving. 0.031 * [simplify]: Simplifying using # : (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N)) 0.038 * * [simplify]: iteration 0 : 71 enodes (cost 7 ) 0.038 * * [simplify]: iteration 1 : 71 enodes (cost 7 ) 0.038 * [simplify]: Simplified to: (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N)) 0.039 * * [progress]: iteration 1 / 4 0.039 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.051 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.052 * * * [progress]: generating series expansions 0.052 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.053 * [approximate]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in (N) around 0 0.053 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.053 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.056 * [taylor]: Taking taylor expansion of (atan N) in N 0.056 * [taylor]: Taking taylor expansion of (- (atan (+ N 1.0)) (atan N)) in N 0.056 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.056 * [taylor]: Taking taylor expansion of (atan N) in N 0.056 * [approximate]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in (N) around 0 0.056 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.056 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.056 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.056 * [taylor]: Taking taylor expansion of (- (atan (+ (/ 1 N) 1.0)) (atan (/ 1 N))) in N 0.057 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.057 * [taylor]: Taking taylor expansion of (atan (/ 1 N)) in N 0.057 * [approximate]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in (N) around 0 0.057 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.057 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.057 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.057 * [taylor]: Taking taylor expansion of (- (atan (- 1.0 (/ 1 N))) (atan (/ -1 N))) in N 0.057 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.058 * [taylor]: Taking taylor expansion of (atan (/ -1 N)) in N 0.058 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.058 * [approximate]: Taking taylor expansion of (atan (+ N 1.0)) in (N) around 0 0.058 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.058 * [taylor]: Taking taylor expansion of (atan (+ N 1.0)) in N 0.059 * [approximate]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in (N) around 0 0.059 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.059 * [taylor]: Taking taylor expansion of (atan (+ (/ 1 N) 1.0)) in N 0.059 * [approximate]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in (N) around 0 0.059 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.059 * [taylor]: Taking taylor expansion of (atan (- 1.0 (/ 1 N))) in N 0.059 * * * [progress]: simplifying candidates 0.060 * [simplify]: Simplifying using # : (-.f64 (+.f64 N 1.0) N) (+.f64 1 (*.f64 (+.f64 N 1.0) N)) (/.f64 (exp.f64 (atan.f64 (+.f64 N 1.0))) (exp.f64 (atan.f64 N))) (log.f64 (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N))) (exp.f64 (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N))) (*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N)))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N))) (*.f64 (*.f64 (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N))) (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N))) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1.0)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (*.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 (+.f64 N 1.0))) (+.f64 (*.f64 (atan.f64 N) (atan.f64 N)) (*.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N)))) (neg.f64 (atan.f64 N)) (-.f64 (*.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 (+.f64 N 1.0))) (*.f64 (atan.f64 N) (atan.f64 N))) (+.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N)) (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1.0))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1.0))) (sqrt.f64 (atan.f64 N))) (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N)) (log.f64 (atan.f64 (+.f64 N 1.0))) (exp.f64 (atan.f64 (+.f64 N 1.0))) (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1.0))) (cbrt.f64 (atan.f64 (+.f64 N 1.0)))) (cbrt.f64 (atan.f64 (+.f64 N 1.0))) (*.f64 (*.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 (+.f64 N 1.0))) (atan.f64 (+.f64 N 1.0))) (sqrt.f64 (atan.f64 (+.f64 N 1.0))) (sqrt.f64 (atan.f64 (+.f64 N 1.0))) (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N)) (atan.f64 (+.f64 N 1.0)) (atan.f64 (+.f64 N 1.0)) (atan.f64 (+.f64 N 1.0)) 0.146 * * [simplify]: iteration 0 : 5349 enodes (cost 236 ) 0.148 * [simplify]: Simplified to: 1.0 (+.f64 1 (*.f64 N (+.f64 N 1.0))) (exp.f64 (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N))) (log.f64 (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N))) (exp.f64 (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N))) (*.f64 (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N)))) (cbrt.f64 (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N))) (pow.f64 (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N)) 3) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N))) (sqrt.f64 (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N))) (-.f64 (pow.f64 (atan.f64 (+.f64 N 1.0)) 3) (pow.f64 (atan.f64 N) 3)) (+.f64 (*.f64 (atan.f64 N) (atan.f64 N)) (*.f64 (atan.f64 (+.f64 N 1.0)) (+.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N)))) (neg.f64 (atan.f64 N)) (-.f64 (*.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 (+.f64 N 1.0))) (*.f64 (atan.f64 N) (atan.f64 N))) (+.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N)) (+.f64 (sqrt.f64 (atan.f64 (+.f64 N 1.0))) (sqrt.f64 (atan.f64 N))) (-.f64 (sqrt.f64 (atan.f64 (+.f64 N 1.0))) (sqrt.f64 (atan.f64 N))) (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N)) (log.f64 (atan.f64 (+.f64 N 1.0))) (exp.f64 (atan.f64 (+.f64 N 1.0))) (*.f64 (cbrt.f64 (atan.f64 (+.f64 N 1.0))) (cbrt.f64 (atan.f64 (+.f64 N 1.0)))) (cbrt.f64 (atan.f64 (+.f64 N 1.0))) (pow.f64 (atan.f64 (+.f64 N 1.0)) 3) (sqrt.f64 (atan.f64 (+.f64 N 1.0))) (sqrt.f64 (atan.f64 (+.f64 N 1.0))) (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N)) (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N)) (atan.f64 (+.f64 N 1.0)) (atan.f64 (+.f64 N 1.0)) (atan.f64 (+.f64 N 1.0)) 0.148 * * * [progress]: adding candidates to table 0.174 * * [progress]: iteration 2 / 4 0.174 * * * [progress]: picking best candidate 0.176 * * * * [pick]: Picked # 0.176 * * * [progress]: localizing error 0.182 * * * [progress]: generating rewritten candidates 0.182 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.183 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.191 * * * [progress]: generating series expansions 0.191 * * * * [progress]: [ 1 / 2 ] 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 0.194 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.194 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 0.194 * [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 0.195 * [taylor]: Taking taylor expansion of 1.0 in N 0.196 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in (N) around 0 0.196 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.196 * [taylor]: Taking taylor expansion of N in N 0.196 * [taylor]: Taking taylor expansion of 1.0 in N 0.196 * [taylor]: Taking taylor expansion of N in N 0.196 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 N) 1.0) N) in N 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.196 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.196 * [taylor]: Taking taylor expansion of N in N 0.196 * [taylor]: Taking taylor expansion of 1.0 in N 0.196 * [taylor]: Taking taylor expansion of N in N 0.200 * [approximate]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in (N) around 0 0.200 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.200 * [taylor]: Taking taylor expansion of -1 in N 0.200 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.200 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.200 * [taylor]: Taking taylor expansion of 1.0 in N 0.200 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.200 * [taylor]: Taking taylor expansion of N in N 0.200 * [taylor]: Taking taylor expansion of N in N 0.200 * [taylor]: Taking taylor expansion of (* -1 (/ (- 1.0 (/ 1 N)) N)) in N 0.200 * [taylor]: Taking taylor expansion of -1 in N 0.200 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) N) in N 0.200 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.200 * [taylor]: Taking taylor expansion of 1.0 in N 0.200 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.200 * [taylor]: Taking taylor expansion of N in N 0.200 * [taylor]: Taking taylor expansion of N in N 0.204 * * * [progress]: simplifying candidates 0.204 * [simplify]: Simplifying using # : (log.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 N 1.0))))) (exp.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 N 1.0))))) (*.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 N 1.0))))) (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 N 1.0)))))) (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 N 1.0))))) (*.f64 (*.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 N 1.0)))) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 N 1.0))))) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 N 1.0))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 N 1.0))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 N 1.0))))) (*.f64 N (+.f64 N 1.0)) (+.f64 (log.f64 N) (log.f64 (+.f64 N 1.0))) (log.f64 (*.f64 N (+.f64 N 1.0))) (exp.f64 (*.f64 N (+.f64 N 1.0))) (*.f64 (*.f64 (*.f64 N N) N) (*.f64 (*.f64 (+.f64 N 1.0) (+.f64 N 1.0)) (+.f64 N 1.0))) (*.f64 (cbrt.f64 (*.f64 N (+.f64 N 1.0))) (cbrt.f64 (*.f64 N (+.f64 N 1.0)))) (cbrt.f64 (*.f64 N (+.f64 N 1.0))) (*.f64 (*.f64 (*.f64 N (+.f64 N 1.0)) (*.f64 N (+.f64 N 1.0))) (*.f64 N (+.f64 N 1.0))) (sqrt.f64 (*.f64 N (+.f64 N 1.0))) (sqrt.f64 (*.f64 N (+.f64 N 1.0))) (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 N 1.0))) (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 N 1.0))) (*.f64 N N) (*.f64 N 1.0) (*.f64 N N) (*.f64 1.0 N) (*.f64 N (*.f64 (cbrt.f64 (+.f64 N 1.0)) (cbrt.f64 (+.f64 N 1.0)))) (*.f64 N (sqrt.f64 (+.f64 N 1.0))) (*.f64 N 1) (*.f64 N 1) (*.f64 (cbrt.f64 N) (+.f64 N 1.0)) (*.f64 (sqrt.f64 N) (+.f64 N 1.0)) (*.f64 N (+.f64 N 1.0)) (*.f64 N (+.f64 (pow.f64 N 3) (pow.f64 1.0 3))) (*.f64 N (-.f64 (*.f64 N N) (*.f64 1.0 1.0))) (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1))) (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1))) (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1))) (+.f64 (pow.f64 N 2) (*.f64 1.0 N)) (+.f64 (pow.f64 N 2) (*.f64 1.0 N)) (+.f64 (pow.f64 N 2) (*.f64 1.0 N)) 0.279 * * [simplify]: iteration 0 : 4907 enodes (cost 272 ) 0.279 * * [simplify]: iteration 1 : 4907 enodes (cost 272 ) 0.282 * [simplify]: Simplified to: (log.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (exp.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (*.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (pow.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) 3) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (*.f64 N (+.f64 1.0 N)) (log.f64 (*.f64 N (+.f64 1.0 N))) (log.f64 (*.f64 N (+.f64 1.0 N))) (exp.f64 (*.f64 N (+.f64 1.0 N))) (pow.f64 (*.f64 N (+.f64 1.0 N)) 3) (*.f64 (cbrt.f64 (*.f64 N (+.f64 1.0 N))) (cbrt.f64 (*.f64 N (+.f64 1.0 N)))) (cbrt.f64 (*.f64 N (+.f64 1.0 N))) (pow.f64 (*.f64 N (+.f64 1.0 N)) 3) (sqrt.f64 (*.f64 N (+.f64 1.0 N))) (sqrt.f64 (*.f64 N (+.f64 1.0 N))) (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1.0 N))) (*.f64 (sqrt.f64 N) (sqrt.f64 (+.f64 1.0 N))) (*.f64 N N) (*.f64 1.0 N) (*.f64 N N) (*.f64 1.0 N) (*.f64 N (*.f64 (cbrt.f64 (+.f64 1.0 N)) (cbrt.f64 (+.f64 1.0 N)))) (*.f64 N (sqrt.f64 (+.f64 1.0 N))) N N (*.f64 (+.f64 1.0 N) (cbrt.f64 N)) (*.f64 (+.f64 1.0 N) (sqrt.f64 N)) (*.f64 N (+.f64 1.0 N)) (*.f64 N (+.f64 (pow.f64 N 3) (pow.f64 1.0 3))) (*.f64 N (-.f64 (*.f64 N N) (*.f64 1.0 1.0))) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (*.f64 N (+.f64 1.0 N)) (*.f64 N (+.f64 1.0 N)) (*.f64 N (+.f64 1.0 N)) 0.282 * * * [progress]: adding candidates to table 0.317 * * [progress]: iteration 3 / 4 0.317 * * * [progress]: picking best candidate 0.324 * * * * [pick]: Picked # 0.324 * * * [progress]: localizing error 0.333 * * * [progress]: generating rewritten candidates 0.333 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.334 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.336 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.343 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.347 * * * [progress]: generating series expansions 0.347 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.347 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 0.347 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.347 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.348 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.348 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.350 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 0.350 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.350 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.350 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.350 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.353 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 0.353 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.353 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.354 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.354 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.357 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.357 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 0.357 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.357 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.358 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.358 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.360 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 0.360 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.360 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.361 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.361 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.364 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 0.364 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.364 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.364 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.364 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.367 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.367 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.367 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.367 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.368 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.368 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.368 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.369 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.369 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.369 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.370 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.370 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.370 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.370 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.371 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.371 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.371 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.372 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.372 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.372 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.373 * * * [progress]: simplifying candidates 0.374 * [simplify]: Simplifying using # : (log.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (exp.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (*.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (sqrt.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 1) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (/.f64 1 2) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (log.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (exp.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (*.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (sqrt.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 1) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (/.f64 1 2) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (+.f64 1/2 1/2) (+.f64 1/2 (/.f64 1 2)) (+.f64 1 1) (+.f64 (/.f64 1 2) 1/2) (+.f64 (/.f64 1 2) (/.f64 1 2)) (*.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (+.f64 1 1) (+.f64 (log.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (log.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (log.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (exp.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (cbrt.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))))) (cbrt.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (sqrt.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (*.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (sqrt.f64 (*.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))))) (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 1) (sqrt.f64 1)) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 1 1) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 2 1/2) (*.f64 2 1) (*.f64 2 (/.f64 1 2)) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))))) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (*.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))))) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 1)) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 1) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (log.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (exp.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (*.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (*.f64 (*.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1)))) (sqrt.f64 (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1)))) (sqrt.f64 (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1)))) (sqrt.f64 (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1)))) (sqrt.f64 (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1)))) (sqrt.f64 (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1)))) (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1))) (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1))) (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1))) (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1))) (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1))) (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1))) 0.415 * * [simplify]: iteration 0 : 5253 enodes (cost 989 ) 0.419 * [simplify]: Simplified to: (log.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (exp.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (pow.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 3) (fabs.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) 1 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 1/2 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (log.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (exp.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (pow.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 3) (fabs.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) 1 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 1/2 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) 1 1 2 1 1 (pow.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 4) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (pow.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 4) 2 (log.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (log.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (exp.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (pow.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) 4) (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (pow.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) 3) (pow.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 4) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) 4) (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) 4) (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 1 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 1 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 1 2 1 (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) 5) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (fabs.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (pow.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) 3) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (pow.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) 3) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) 4) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (pow.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) 3) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (pow.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) 3) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (log.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (exp.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (pow.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) 4) (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (pow.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) 3) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) 0.419 * * * [progress]: adding candidates to table 0.489 * * [progress]: iteration 4 / 4 0.489 * * * [progress]: picking best candidate 0.494 * * * * [pick]: Picked # 0.494 * * * [progress]: localizing error 0.506 * * * [progress]: generating rewritten candidates 0.506 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.507 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 0.509 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.511 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.532 * * * [progress]: generating series expansions 0.532 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 0.532 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 0.532 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.532 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.532 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.532 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.537 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 0.537 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.537 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.538 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.538 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.540 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 0.540 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.541 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.541 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.541 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.544 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 0.544 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 0.544 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.544 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.544 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.544 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.546 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 0.547 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.547 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.547 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.547 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.550 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 0.550 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.550 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.550 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.550 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.553 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.553 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in (N) around 0 0.553 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.553 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.553 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1)))) in N 0.553 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.555 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in (N) around 0 0.555 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.555 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.556 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1)))) in N 0.556 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.559 * [approximate]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in (N) around 0 0.559 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.559 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.559 * [taylor]: Taking taylor expansion of (sqrt (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N))))) in N 0.559 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.562 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.562 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in (N) around 0 0.562 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.562 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (pow N 2) (+ (* 1.0 N) 1))) in N 0.563 * [approximate]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in (N) around 0 0.563 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.564 * [taylor]: Taking taylor expansion of (atan2 1.0 (+ (* 1.0 (/ 1 N)) (+ (/ 1 (pow N 2)) 1))) in N 0.565 * [approximate]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in (N) around 0 0.565 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.565 * [taylor]: Taking taylor expansion of (atan2 1.0 (- (+ (/ 1 (pow N 2)) 1) (* 1.0 (/ 1 N)))) in N 0.566 * * * [progress]: simplifying candidates 0.568 * [simplify]: Simplifying using # : (log.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (exp.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (*.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (sqrt.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 1) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (/.f64 1 2) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (log.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (exp.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (*.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (sqrt.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 1) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (/.f64 1 2) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (log.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (exp.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (*.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (sqrt.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 1) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (/.f64 1 2) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (+.f64 1/2 (+.f64 (/.f64 1/2 2) (/.f64 1/2 2))) (+.f64 1/2 (+.f64 (/.f64 1/2 2) (/.f64 (/.f64 1 2) 2))) (+.f64 1/2 (+.f64 (/.f64 (/.f64 1 2) 2) (/.f64 1/2 2))) (+.f64 1/2 (+.f64 (/.f64 (/.f64 1 2) 2) (/.f64 (/.f64 1 2) 2))) (+.f64 1/2 (*.f64 2 (/.f64 1/2 2))) (+.f64 1/2 (*.f64 2 (/.f64 (/.f64 1 2) 2))) (+.f64 1 (+.f64 1/2 1/2)) (+.f64 1 (+.f64 1/2 (/.f64 1 2))) (+.f64 1 (+.f64 (/.f64 1 2) 1/2)) (+.f64 1 (+.f64 (/.f64 1 2) (/.f64 1 2))) (+.f64 1 (*.f64 2 1/2)) (+.f64 1 (*.f64 2 (/.f64 1 2))) (+.f64 (/.f64 1 2) (+.f64 (/.f64 1/2 2) (/.f64 1/2 2))) (+.f64 (/.f64 1 2) (+.f64 (/.f64 1/2 2) (/.f64 (/.f64 1 2) 2))) (+.f64 (/.f64 1 2) (+.f64 (/.f64 (/.f64 1 2) 2) (/.f64 1/2 2))) (+.f64 (/.f64 1 2) (+.f64 (/.f64 (/.f64 1 2) 2) (/.f64 (/.f64 1 2) 2))) (+.f64 (/.f64 1 2) (*.f64 2 (/.f64 1/2 2))) (+.f64 (/.f64 1 2) (*.f64 2 (/.f64 (/.f64 1 2) 2))) (*.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))))) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))))) (*.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (+.f64 (log.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (log.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))))) (+.f64 (log.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (log.f64 (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))))) (log.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))))) (exp.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))))) (cbrt.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))))))) (cbrt.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))))) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))))) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))))) (*.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (sqrt.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))))) (sqrt.f64 (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))))) (*.f64 (sqrt.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))))) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))))) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (*.f64 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1)))) (sqrt.f64 (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1)))) (sqrt.f64 (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1)))) (sqrt.f64 (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1)))) (sqrt.f64 (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1)))) (sqrt.f64 (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1)))) (sqrt.f64 (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1)))) (sqrt.f64 (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1)))) (sqrt.f64 (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1)))) (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1))) (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1))) (atan2.f64 1.0 (+.f64 (pow.f64 N 2) (+.f64 (*.f64 1.0 N) 1))) 0.625 * * [simplify]: iteration 0 : 4775 enodes (cost 929 ) 0.625 * * [simplify]: iteration 1 : 4775 enodes (cost 929 ) 0.631 * [simplify]: Simplified to: (log.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (exp.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (pow.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 3) (fabs.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) 1 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 1/2 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (log.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (exp.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (pow.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 3) (fabs.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) 1 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 1/2 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (log.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (exp.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (pow.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 3) (fabs.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) 1 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 1/2 (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (sqrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 (pow.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 4) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (pow.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 4) (log.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (log.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (log.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (exp.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (pow.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) 3) (pow.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) 3) (*.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))))) (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (pow.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) 3) (pow.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 4) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (pow.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 3/2) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (cbrt.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (*.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (cbrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))))) (pow.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 3/2) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (pow.f64 (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) 3/2) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (sqrt.f64 (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N))))) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) (atan2.f64 1.0 (+.f64 1 (*.f64 N (+.f64 1.0 N)))) 0.631 * * * [progress]: adding candidates to table 0.717 * [progress]: [Phase 3 of 3] Extracting. 0.717 * * [regime]: Finding splitpoints for: (# # # # #) 0.718 * * * [regime-changes]: Trying 2 branch expressions: ((-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N)) N) 0.718 * * * * [regimes]: Trying to branch on (-.f64 (atan.f64 (+.f64 N 1.0)) (atan.f64 N)) from (# # # # #) 0.748 * * * * [regimes]: Trying to branch on N from (# # # # #) 0.781 * * * [regime]: Found split indices: #