3.036 * [progress]: [Phase 1 of 3] Setting up. 0.000 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.047 * [progress]: [Phase 2 of 3] Improving. 0.174 * [simplify]: Simplifying using # : (-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))) 0.187 * * [simplify]: iteration 0 : 45 enodes (cost 15 ) 0.187 * * [simplify]: iteration 1 : 45 enodes (cost 15 ) 0.188 * [simplify]: Simplified to: (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 0.194 * * [progress]: iteration 1 / 4 0.194 * * * [progress]: picking best candidate 0.204 * * * * [pick]: Picked # 0.204 * * * [progress]: localizing error 0.215 * * * [progress]: generating rewritten candidates 0.215 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.224 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.232 * * * [progress]: generating series expansions 0.232 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.233 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in (x) around 0 0.233 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.233 * [taylor]: Taking taylor expansion of 1 in x 0.233 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.233 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.233 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.233 * [taylor]: Taking taylor expansion of 1/2 in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.233 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.233 * [taylor]: Taking taylor expansion of 1/2 in x 0.235 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2))) in x 0.235 * [taylor]: Taking taylor expansion of 1 in x 0.235 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.235 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.235 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.235 * [taylor]: Taking taylor expansion of 1/2 in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.235 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.235 * [taylor]: Taking taylor expansion of 1/2 in x 0.251 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in (x) around 0 0.251 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.251 * [taylor]: Taking taylor expansion of 1 in x 0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.251 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.251 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.251 * [taylor]: Taking taylor expansion of 1/2 in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.251 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.252 * [taylor]: Taking taylor expansion of 1/2 in x 0.254 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2))) in x 0.254 * [taylor]: Taking taylor expansion of 1 in x 0.254 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.254 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.254 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.254 * [taylor]: Taking taylor expansion of 1/2 in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.254 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.254 * [taylor]: Taking taylor expansion of 1/2 in x 0.272 * [approximate]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in (x) around 0 0.272 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.272 * [taylor]: Taking taylor expansion of 1 in x 0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.272 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.272 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.272 * [taylor]: Taking taylor expansion of 1/2 in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.272 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.272 * [taylor]: Taking taylor expansion of 1/2 in x 0.274 * [taylor]: Taking taylor expansion of (- 1 (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2))) in x 0.274 * [taylor]: Taking taylor expansion of 1 in x 0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.274 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.274 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.274 * [taylor]: Taking taylor expansion of 1/2 in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.274 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.275 * [taylor]: Taking taylor expansion of 1/2 in x 0.290 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.291 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.291 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.291 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.291 * [taylor]: Taking taylor expansion of 1/2 in x 0.291 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.291 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.291 * [taylor]: Taking taylor expansion of 1/2 in x 0.292 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.292 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.292 * [taylor]: Taking taylor expansion of 1/2 in x 0.293 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.293 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.293 * [taylor]: Taking taylor expansion of 1/2 in x 0.305 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 0.305 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.305 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.305 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.305 * [taylor]: Taking taylor expansion of 1/2 in x 0.305 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.305 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.305 * [taylor]: Taking taylor expansion of 1/2 in x 0.307 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.307 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.307 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.307 * [taylor]: Taking taylor expansion of 1/2 in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.307 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.307 * [taylor]: Taking taylor expansion of 1/2 in x 0.322 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 0.322 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.322 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.322 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.322 * [taylor]: Taking taylor expansion of 1/2 in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.322 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.322 * [taylor]: Taking taylor expansion of 1/2 in x 0.324 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.324 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.324 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.324 * [taylor]: Taking taylor expansion of 1/2 in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.324 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.324 * [taylor]: Taking taylor expansion of 1/2 in x 0.338 * * * [progress]: simplifying candidates 0.339 * [simplify]: Simplifying using # : (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (sqrt.f64 1) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (sqrt.f64 1) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 (sqrt.f64 1) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 (sqrt.f64 1) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 (sqrt.f64 1) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 (sqrt.f64 1) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 (*.f64 1 1) (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (pow.f64 1 3) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3)) (+.f64 (*.f64 1 1) (+.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (*.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (*.f64 (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (log.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (exp.f64 1) (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (/.f64 1 2) (sqrt.f64 (-.f64 (*.f64 1/2 1/2) (*.f64 (/.f64 1/2 (hypot.f64 1 x)) (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 1/2 3) (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3))) (sqrt.f64 (+.f64 (*.f64 1/2 1/2) (-.f64 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) (/.f64 1/2 (hypot.f64 1 x))) (*.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 1) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 1) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (*.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2))) (-.f64 1 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2))) (-.f64 1 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2))) (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 0.421 * * [simplify]: iteration 0 : 5044 enodes (cost 763 ) 0.425 * [simplify]: Simplified to: (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 1 (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3/2)) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) (*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (log.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/2 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x))))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3))) (sqrt.f64 (+.f64 1/4 (/.f64 (-.f64 (/.f64 1/4 (hypot.f64 1 x)) 1/4) (hypot.f64 1 x)))) 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (fabs.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 0.426 * * * [progress]: adding candidates to table 0.531 * * [progress]: iteration 2 / 4 0.531 * * * [progress]: picking best candidate 0.541 * * * * [pick]: Picked # 0.541 * * * [progress]: localizing error 0.556 * * * [progress]: generating rewritten candidates 0.556 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.562 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 0.568 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.597 * * * [progress]: generating series expansions 0.597 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.597 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in (x) around 0 0.597 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 0.598 * [taylor]: Taking taylor expansion of 1/2 in x 0.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.598 * [taylor]: Taking taylor expansion of 1/2 in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.598 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.598 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 0.598 * [taylor]: Taking taylor expansion of 1/2 in x 0.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.598 * [taylor]: Taking taylor expansion of 1/2 in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.598 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.610 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 0.610 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 0.610 * [taylor]: Taking taylor expansion of 1/2 in x 0.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.610 * [taylor]: Taking taylor expansion of 1/2 in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.610 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.610 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 0.610 * [taylor]: Taking taylor expansion of 1/2 in x 0.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.610 * [taylor]: Taking taylor expansion of 1/2 in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.610 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.624 * [approximate]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in (x) around 0 0.624 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 0.624 * [taylor]: Taking taylor expansion of 1/2 in x 0.624 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.624 * [taylor]: Taking taylor expansion of 1/2 in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.625 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.625 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 0.625 * [taylor]: Taking taylor expansion of 1/2 in x 0.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.625 * [taylor]: Taking taylor expansion of 1/2 in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.625 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.636 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 0.637 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 0.637 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.637 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.637 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.637 * [taylor]: Taking taylor expansion of 1/2 in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.637 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.637 * [taylor]: Taking taylor expansion of 1/2 in x 0.639 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.639 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.639 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.639 * [taylor]: Taking taylor expansion of 1/2 in x 0.639 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.639 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.639 * [taylor]: Taking taylor expansion of 1/2 in x 0.654 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 0.654 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.654 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.654 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.654 * [taylor]: Taking taylor expansion of 1/2 in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.654 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.654 * [taylor]: Taking taylor expansion of 1/2 in x 0.656 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.656 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.656 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.657 * [taylor]: Taking taylor expansion of 1/2 in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.657 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.657 * [taylor]: Taking taylor expansion of 1/2 in x 0.674 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 0.674 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.674 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.674 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.674 * [taylor]: Taking taylor expansion of 1/2 in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.674 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.675 * [taylor]: Taking taylor expansion of 1/2 in x 0.676 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.676 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.676 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.676 * [taylor]: Taking taylor expansion of 1/2 in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.676 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.677 * [taylor]: Taking taylor expansion of 1/2 in x 0.691 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.692 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in (x) around 0 0.692 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 0.692 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 0.692 * [taylor]: Taking taylor expansion of 1/2 in x 0.692 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.692 * [taylor]: Taking taylor expansion of 1/2 in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.693 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.693 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 0.693 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.693 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.693 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.693 * [taylor]: Taking taylor expansion of 1/2 in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.693 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.693 * [taylor]: Taking taylor expansion of 1/2 in x 0.695 * [taylor]: Taking taylor expansion of 1 in x 0.697 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 0.697 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 x)))) in x 0.697 * [taylor]: Taking taylor expansion of 1/2 in x 0.697 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.697 * [taylor]: Taking taylor expansion of 1/2 in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.697 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.697 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 0.697 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 0.697 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 0.697 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 0.697 * [taylor]: Taking taylor expansion of 1/2 in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 0.697 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 0.697 * [taylor]: Taking taylor expansion of 1/2 in x 0.699 * [taylor]: Taking taylor expansion of 1 in x 0.741 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in (x) around 0 0.741 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 0.741 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 0.741 * [taylor]: Taking taylor expansion of 1/2 in x 0.741 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.741 * [taylor]: Taking taylor expansion of 1/2 in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.741 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.741 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 0.742 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.742 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.742 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.742 * [taylor]: Taking taylor expansion of 1/2 in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.742 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.742 * [taylor]: Taking taylor expansion of 1/2 in x 0.744 * [taylor]: Taking taylor expansion of 1 in x 0.745 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 0.745 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ 1 x))))) in x 0.745 * [taylor]: Taking taylor expansion of 1/2 in x 0.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.745 * [taylor]: Taking taylor expansion of 1/2 in x 0.745 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.745 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.746 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 0.746 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 0.746 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 0.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 0.746 * [taylor]: Taking taylor expansion of 1/2 in x 0.746 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 0.746 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 0.746 * [taylor]: Taking taylor expansion of 1/2 in x 0.751 * [taylor]: Taking taylor expansion of 1 in x 0.793 * [approximate]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in (x) around 0 0.793 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 0.793 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 0.793 * [taylor]: Taking taylor expansion of 1/2 in x 0.793 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.793 * [taylor]: Taking taylor expansion of 1/2 in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.793 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.793 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 0.793 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.793 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.793 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.793 * [taylor]: Taking taylor expansion of 1/2 in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.793 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.793 * [taylor]: Taking taylor expansion of 1/2 in x 0.795 * [taylor]: Taking taylor expansion of 1 in x 0.797 * [taylor]: Taking taylor expansion of (/ (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 0.797 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 (hypot 1 (/ -1 x))))) in x 0.797 * [taylor]: Taking taylor expansion of 1/2 in x 0.797 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.797 * [taylor]: Taking taylor expansion of 1/2 in x 0.797 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.797 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.797 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 0.797 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 0.797 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 0.797 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 0.797 * [taylor]: Taking taylor expansion of 1/2 in x 0.797 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 0.797 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 0.798 * [taylor]: Taking taylor expansion of 1/2 in x 0.799 * [taylor]: Taking taylor expansion of 1 in x 0.841 * * * [progress]: simplifying candidates 0.843 * [simplify]: Simplifying using # : (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (hypot.f64 1 x)))) (-.f64 (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (hypot.f64 1 x)))) (+.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) (-.f64 (sqrt.f64 1/2) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) (-.f64 (*.f64 1/2 1/2) (*.f64 (/.f64 1/2 (hypot.f64 1 x)) (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (neg.f64 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 (pow.f64 1/2 3) (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3)) (+.f64 (*.f64 1/2 1/2) (+.f64 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) (/.f64 1/2 (hypot.f64 1 x))) (*.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (*.f64 (*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (*.f64 (cbrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (exp.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (log.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (/.f64 (exp.f64 1/2) (exp.f64 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (/.f64 1 2) (sqrt.f64 (-.f64 (*.f64 1/2 1/2) (*.f64 (/.f64 1/2 (hypot.f64 1 x)) (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 1/2 3) (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3))) (sqrt.f64 (+.f64 (*.f64 1/2 1/2) (-.f64 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) (/.f64 1/2 (hypot.f64 1 x))) (*.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 1) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 1) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (*.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 (*.f64 1/2 1/2) (+.f64 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) (/.f64 1/2 (hypot.f64 1 x))) (*.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 (*.f64 1 1) (*.f64 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1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (/.f64 (*.f64 (cbrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (/.f64 (cbrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (-.f64 (/.f64 1/2 (hypot.f64 1 x)) 1/2) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (sqrt.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (pow.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3) (*.f64 (cbrt.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (cbrt.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (cbrt.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (pow.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3) (exp.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (log.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (log.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 0.931 * * * [progress]: adding candidates to table 1.240 * * [progress]: iteration 3 / 4 1.240 * * * [progress]: picking best candidate 1.253 * * * * [pick]: Picked # 1.253 * * * [progress]: localizing error 1.270 * * * [progress]: generating rewritten candidates 1.270 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.367 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.381 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.391 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 2) 1.409 * * * [progress]: generating series expansions 1.409 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.410 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 1/2 (/ 1 (* (hypot 1 x) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) in (x) around 0 1.410 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 1/2 (/ 1 (* (hypot 1 x) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) in x 1.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 1.410 * [taylor]: Taking taylor expansion of 1/2 in x 1.410 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 1.410 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 1.410 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 1.410 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 1.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 1.410 * [taylor]: Taking taylor expansion of 1/2 in x 1.410 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 1.410 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 1.411 * [taylor]: Taking taylor expansion of 1/2 in x 1.413 * [taylor]: Taking taylor expansion of 1 in x 1.413 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (hypot 1 x) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) in x 1.413 * [taylor]: Taking taylor expansion of 1/2 in x 1.413 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot 1 x) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 1.413 * [taylor]: Taking taylor expansion of (* (hypot 1 x) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 1.413 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 1.414 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 1.414 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 1.414 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 1.414 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 1.414 * [taylor]: Taking taylor expansion of 1/2 in x 1.414 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 1.414 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 1.414 * [taylor]: Taking taylor expansion of 1/2 in x 1.416 * [taylor]: Taking taylor expansion of 1 in x 1.417 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (* 1/2 (/ 1 (* (hypot 1 x) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))))) in x 1.417 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 1.417 * [taylor]: Taking taylor expansion of 1/2 in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 1.417 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 1.417 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 1.417 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 1.417 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 1.417 * [taylor]: Taking taylor expansion of 1/2 in x 1.417 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 1.417 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 1.417 * [taylor]: Taking taylor expansion of 1/2 in x 1.419 * [taylor]: Taking taylor expansion of 1 in x 1.420 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (hypot 1 x) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) in x 1.420 * [taylor]: Taking taylor expansion of 1/2 in x 1.420 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot 1 x) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 1.420 * [taylor]: Taking taylor expansion of (* (hypot 1 x) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 1.420 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 1.420 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 1.420 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 1.420 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 1.420 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 1.420 * [taylor]: Taking taylor expansion of 1/2 in x 1.420 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 1.420 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 1.420 * [taylor]: Taking taylor expansion of 1/2 in x 1.422 * [taylor]: Taking taylor expansion of 1 in x 1.491 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 1/2 (/ 1 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) (hypot 1 (/ 1 x)))))) in (x) around 0 1.491 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 1/2 (/ 1 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) (hypot 1 (/ 1 x)))))) in x 1.491 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 1.491 * [taylor]: Taking taylor expansion of 1/2 in x 1.491 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 1.491 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 1.491 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 1.491 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 1.491 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 1.491 * [taylor]: Taking taylor expansion of 1/2 in x 1.491 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 1.491 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 1.491 * [taylor]: Taking taylor expansion of 1/2 in x 1.493 * [taylor]: Taking taylor expansion of 1 in x 1.494 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) (hypot 1 (/ 1 x))))) in x 1.494 * [taylor]: Taking taylor expansion of 1/2 in x 1.494 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) (hypot 1 (/ 1 x)))) in x 1.494 * [taylor]: Taking taylor expansion of (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) (hypot 1 (/ 1 x))) in x 1.494 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 1.494 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 1.494 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 1.494 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 1.494 * [taylor]: Taking taylor expansion of 1/2 in x 1.494 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 1.494 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 1.495 * [taylor]: Taking taylor expansion of 1/2 in x 1.497 * [taylor]: Taking taylor expansion of 1 in x 1.497 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 1.498 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (* 1/2 (/ 1 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) (hypot 1 (/ 1 x)))))) in x 1.498 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 1.498 * [taylor]: Taking taylor expansion of 1/2 in x 1.498 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 1.499 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 1.499 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 1.499 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 1.499 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 1.499 * [taylor]: Taking taylor expansion of 1/2 in x 1.499 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 1.499 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 1.499 * [taylor]: Taking taylor expansion of 1/2 in x 1.501 * [taylor]: Taking taylor expansion of 1 in x 1.501 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) (hypot 1 (/ 1 x))))) in x 1.501 * [taylor]: Taking taylor expansion of 1/2 in x 1.501 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) (hypot 1 (/ 1 x)))) in x 1.501 * [taylor]: Taking taylor expansion of (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) (hypot 1 (/ 1 x))) in x 1.501 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 1.502 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 1.502 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 1.502 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 1.502 * [taylor]: Taking taylor expansion of 1/2 in x 1.502 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 1.502 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 1.502 * [taylor]: Taking taylor expansion of 1/2 in x 1.504 * [taylor]: Taking taylor expansion of 1 in x 1.504 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 1.578 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 1/2 (/ 1 (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) in (x) around 0 1.578 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 1/2 (/ 1 (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) in x 1.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 1.578 * [taylor]: Taking taylor expansion of 1/2 in x 1.578 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 1.578 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 1.578 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 1.578 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 1.578 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 1.579 * [taylor]: Taking taylor expansion of 1/2 in x 1.579 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 1.579 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 1.579 * [taylor]: Taking taylor expansion of 1/2 in x 1.581 * [taylor]: Taking taylor expansion of 1 in x 1.582 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in x 1.582 * [taylor]: Taking taylor expansion of 1/2 in x 1.582 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 1.582 * [taylor]: Taking taylor expansion of (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 1.582 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 1.582 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 1.582 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 1.582 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 1.582 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 1.582 * [taylor]: Taking taylor expansion of 1/2 in x 1.582 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 1.582 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 1.583 * [taylor]: Taking taylor expansion of 1/2 in x 1.585 * [taylor]: Taking taylor expansion of 1 in x 1.587 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) (* 1/2 (/ 1 (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) in x 1.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 1.587 * [taylor]: Taking taylor expansion of 1/2 in x 1.587 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 1.587 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 1.587 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 1.587 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 1.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 1.587 * [taylor]: Taking taylor expansion of 1/2 in x 1.587 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 1.587 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 1.587 * [taylor]: Taking taylor expansion of 1/2 in x 1.590 * [taylor]: Taking taylor expansion of 1 in x 1.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in x 1.591 * [taylor]: Taking taylor expansion of 1/2 in x 1.591 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 1.591 * [taylor]: Taking taylor expansion of (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 1.591 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 1.591 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 1.591 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 1.591 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 1.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 1.591 * [taylor]: Taking taylor expansion of 1/2 in x 1.591 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 1.591 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 1.592 * [taylor]: Taking taylor expansion of 1/2 in x 1.594 * [taylor]: Taking taylor expansion of 1 in x 1.672 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.673 * [approximate]: Taking taylor expansion of (/ 1/2 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (hypot 1 x))) in (x) around 0 1.673 * [taylor]: Taking taylor expansion of (/ 1/2 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (hypot 1 x))) in x 1.673 * [taylor]: Taking taylor expansion of 1/2 in x 1.673 * [taylor]: Taking taylor expansion of (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (hypot 1 x)) in x 1.673 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 1.673 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 1.673 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 1.673 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 1.673 * [taylor]: Taking taylor expansion of 1/2 in x 1.673 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 1.673 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 1.673 * [taylor]: Taking taylor expansion of 1/2 in x 1.675 * [taylor]: Taking taylor expansion of 1 in x 1.675 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 1.676 * [taylor]: Taking taylor expansion of (/ 1/2 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (hypot 1 x))) in x 1.676 * [taylor]: Taking taylor expansion of 1/2 in x 1.676 * [taylor]: Taking taylor expansion of (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) (hypot 1 x)) in x 1.676 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 1.677 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 1.677 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 1.677 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 1.677 * [taylor]: Taking taylor expansion of 1/2 in x 1.677 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 1.677 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 1.677 * [taylor]: Taking taylor expansion of 1/2 in x 1.679 * [taylor]: Taking taylor expansion of 1 in x 1.679 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 1.713 * [approximate]: Taking taylor expansion of (/ 1/2 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) (hypot 1 (/ 1 x)))) in (x) around 0 1.713 * [taylor]: Taking taylor expansion of (/ 1/2 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) (hypot 1 (/ 1 x)))) in x 1.713 * [taylor]: Taking taylor expansion of 1/2 in x 1.713 * [taylor]: Taking taylor expansion of (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) (hypot 1 (/ 1 x))) in x 1.713 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 1.713 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 1.713 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 1.713 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 1.713 * [taylor]: Taking taylor expansion of 1/2 in x 1.713 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 1.713 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 1.713 * [taylor]: Taking taylor expansion of 1/2 in x 1.715 * [taylor]: Taking taylor expansion of 1 in x 1.715 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 1.716 * [taylor]: Taking taylor expansion of (/ 1/2 (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) (hypot 1 (/ 1 x)))) in x 1.717 * [taylor]: Taking taylor expansion of 1/2 in x 1.717 * [taylor]: Taking taylor expansion of (* (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) (hypot 1 (/ 1 x))) in x 1.717 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 1.717 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 1.717 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 1.717 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 1.717 * [taylor]: Taking taylor expansion of 1/2 in x 1.717 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 1.717 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 1.717 * [taylor]: Taking taylor expansion of 1/2 in x 1.719 * [taylor]: Taking taylor expansion of 1 in x 1.719 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 1.758 * [approximate]: Taking taylor expansion of (/ 1/2 (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in (x) around 0 1.758 * [taylor]: Taking taylor expansion of (/ 1/2 (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 1.758 * [taylor]: Taking taylor expansion of 1/2 in x 1.758 * [taylor]: Taking taylor expansion of (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 1.758 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 1.758 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 1.758 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 1.758 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 1.758 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 1.758 * [taylor]: Taking taylor expansion of 1/2 in x 1.758 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 1.758 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 1.759 * [taylor]: Taking taylor expansion of 1/2 in x 1.760 * [taylor]: Taking taylor expansion of 1 in x 1.762 * [taylor]: Taking taylor expansion of (/ 1/2 (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 1.762 * [taylor]: Taking taylor expansion of 1/2 in x 1.762 * [taylor]: Taking taylor expansion of (* (hypot 1 (/ -1 x)) (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 1.762 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 1.762 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 1.762 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 1.762 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 1.762 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 1.762 * [taylor]: Taking taylor expansion of 1/2 in x 1.762 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 1.762 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 1.762 * [taylor]: Taking taylor expansion of 1/2 in x 1.764 * [taylor]: Taking taylor expansion of 1 in x 1.803 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.803 * [approximate]: Taking taylor expansion of (/ 1/2 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in (x) around 0 1.803 * [taylor]: Taking taylor expansion of (/ 1/2 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 1.803 * [taylor]: Taking taylor expansion of 1/2 in x 1.803 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 1.803 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 1.803 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 1.803 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 1.803 * [taylor]: Taking taylor expansion of 1/2 in x 1.804 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 1.804 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 1.804 * [taylor]: Taking taylor expansion of 1/2 in x 1.805 * [taylor]: Taking taylor expansion of 1 in x 1.806 * [taylor]: Taking taylor expansion of (/ 1/2 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 1.806 * [taylor]: Taking taylor expansion of 1/2 in x 1.806 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 1.806 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 1.806 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 1.806 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 1.806 * [taylor]: Taking taylor expansion of 1/2 in x 1.806 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 1.806 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 1.806 * [taylor]: Taking taylor expansion of 1/2 in x 1.808 * [taylor]: Taking taylor expansion of 1 in x 1.834 * [approximate]: Taking taylor expansion of (/ 1/2 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in (x) around 0 1.834 * [taylor]: Taking taylor expansion of (/ 1/2 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 1.834 * [taylor]: Taking taylor expansion of 1/2 in x 1.834 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 1.834 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 1.834 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 1.834 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 1.834 * [taylor]: Taking taylor expansion of 1/2 in x 1.834 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 1.834 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 1.834 * [taylor]: Taking taylor expansion of 1/2 in x 1.836 * [taylor]: Taking taylor expansion of 1 in x 1.837 * [taylor]: Taking taylor expansion of (/ 1/2 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 1.837 * [taylor]: Taking taylor expansion of 1/2 in x 1.837 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 1.837 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 1.837 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 1.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 1.837 * [taylor]: Taking taylor expansion of 1/2 in x 1.837 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 1.837 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 1.837 * [taylor]: Taking taylor expansion of 1/2 in x 1.839 * [taylor]: Taking taylor expansion of 1 in x 1.867 * [approximate]: Taking taylor expansion of (/ 1/2 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in (x) around 0 1.868 * [taylor]: Taking taylor expansion of (/ 1/2 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 1.868 * [taylor]: Taking taylor expansion of 1/2 in x 1.868 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 1.868 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 1.868 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 1.868 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 1.868 * [taylor]: Taking taylor expansion of 1/2 in x 1.868 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 1.868 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 1.868 * [taylor]: Taking taylor expansion of 1/2 in x 1.870 * [taylor]: Taking taylor expansion of 1 in x 1.871 * [taylor]: Taking taylor expansion of (/ 1/2 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 1.871 * [taylor]: Taking taylor expansion of 1/2 in x 1.871 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 1.871 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 1.871 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 1.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 1.871 * [taylor]: Taking taylor expansion of 1/2 in x 1.871 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 1.871 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 1.871 * [taylor]: Taking taylor expansion of 1/2 in x 1.873 * [taylor]: Taking taylor expansion of 1 in x 1.900 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 2) 1.901 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in (x) around 0 1.901 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 1.901 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 1.901 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 1.901 * [taylor]: Taking taylor expansion of 1/2 in x 1.901 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 1.901 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 1.901 * [taylor]: Taking taylor expansion of 1/2 in x 1.903 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 1.903 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 1.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 1.903 * [taylor]: Taking taylor expansion of 1/2 in x 1.903 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 1.903 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 1.903 * [taylor]: Taking taylor expansion of 1/2 in x 1.918 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in (x) around 0 1.918 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 1.918 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 1.918 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 1.918 * [taylor]: Taking taylor expansion of 1/2 in x 1.918 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 1.918 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 1.918 * [taylor]: Taking taylor expansion of 1/2 in x 1.920 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 1.920 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 1.920 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 1.920 * [taylor]: Taking taylor expansion of 1/2 in x 1.920 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 1.920 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 1.921 * [taylor]: Taking taylor expansion of 1/2 in x 1.938 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in (x) around 0 1.938 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 1.938 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 1.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 1.938 * [taylor]: Taking taylor expansion of 1/2 in x 1.938 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 1.938 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 1.939 * [taylor]: Taking taylor expansion of 1/2 in x 1.940 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 1.940 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 1.940 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 1.941 * [taylor]: Taking taylor expansion of 1/2 in x 1.941 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 1.941 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 1.941 * [taylor]: Taking taylor expansion of 1/2 in x 1.955 * * * [progress]: simplifying candidates 1.959 * [simplify]: Simplifying using # : (-.f64 (/.f64 1/2 (-.f64 (*.f64 1 1) (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (-.f64 (*.f64 1 1) (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (-.f64 (/.f64 1/2 (+.f64 (pow.f64 1 3) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (pow.f64 1 3) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3)))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (-.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (sqrt.f64 1) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (-.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (sqrt.f64 1) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (-.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (sqrt.f64 1) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (-.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (sqrt.f64 1) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (-.f64 (/.f64 1/2 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (-.f64 (/.f64 1/2 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 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x)))))) (/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) 1) (/.f64 (cbrt.f64 1/2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (/.f64 (cbrt.f64 1/2) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (/.f64 (cbrt.f64 1/2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (neg.f64 1/2) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (sqrt.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (*.f64 (*.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 1/2 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x))))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1) (hypot.f64 1 x))))) (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1) (hypot.f64 1 x))))) (-.f64 (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1))) (*.f64 1/2 (/.f64 1 (*.f64 (hypot.f64 1 x) (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1))))) (/.f64 1/2 (*.f64 (hypot.f64 1 x) (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1))) (/.f64 1/2 (*.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1) (hypot.f64 1 x))) (/.f64 1/2 (*.f64 (hypot.f64 1 x) (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1))) (/.f64 1/2 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1)) (/.f64 1/2 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1)) (/.f64 1/2 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1)) (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 2.042 * * [simplify]: iteration 0 : 4962 enodes (cost 8119 ) 2.042 * * [simplify]: iteration 1 : 4962 enodes (cost 8119 ) 2.077 * [simplify]: Simplified to: (-.f64 (/.f64 1/2 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (-.f64 1/2 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(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (sqrt.f64 (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (pow.f64 (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3) (*.f64 (cbrt.f64 (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (cbrt.f64 (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (cbrt.f64 (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (pow.f64 (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3) (pow.f64 (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3) (exp.f64 (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (log.f64 (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (log.f64 (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (log.f64 (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (/.f64 1/2 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (/.f64 1/2 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 1/2)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 1/2)) 1/2 1/2 1/2 1/2 (/.f64 1/2 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (/.f64 1/2 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/2) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (/.f64 1/2 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (/.f64 1/2 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 1/2) (/.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (/.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (/.f64 (cbrt.f64 1/2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (/.f64 (cbrt.f64 1/2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (/.f64 (cbrt.f64 1/2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (/.f64 (cbrt.f64 1/2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (/.f64 (cbrt.f64 1/2) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (/.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (/.f64 (cbrt.f64 1/2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) -1/2 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (sqrt.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (pow.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3) (*.f64 (cbrt.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (cbrt.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (cbrt.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (pow.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3) (exp.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (log.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (log.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1/2 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x))))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 3) 1/8)) (sqrt.f64 (+.f64 1/4 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) -1/2)))) 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (fabs.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2.078 * * * [progress]: adding candidates to table 3.149 * * [progress]: iteration 4 / 4 3.149 * * * [progress]: picking best candidate 3.170 * * * * [pick]: Picked # 3.170 * * * [progress]: localizing error 3.192 * * * [progress]: generating rewritten candidates 3.192 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 3.209 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.221 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.239 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.422 * * * [progress]: generating series expansions 3.422 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 3.423 * [approximate]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x)))) in (x) around 0 3.423 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x)))) in x 3.423 * [taylor]: Taking taylor expansion of 1/2 in x 3.423 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))) in x 3.423 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 3.423 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 3.423 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.423 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.423 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.423 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.423 * [taylor]: Taking taylor expansion of 1/2 in x 3.423 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.423 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.424 * [taylor]: Taking taylor expansion of 1/2 in x 3.426 * [taylor]: Taking taylor expansion of 1 in x 3.429 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.429 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.430 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x)))) in x 3.430 * [taylor]: Taking taylor expansion of 1/2 in x 3.430 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))) in x 3.430 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 3.430 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 3.430 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.430 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.430 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.430 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.430 * [taylor]: Taking taylor expansion of 1/2 in x 3.430 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.430 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.430 * [taylor]: Taking taylor expansion of 1/2 in x 3.432 * [taylor]: Taking taylor expansion of 1 in x 3.435 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.435 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.480 * [approximate]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (/ 1 (hypot 1 (/ 1 x))))) in (x) around 0 3.480 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (/ 1 (hypot 1 (/ 1 x))))) in x 3.480 * [taylor]: Taking taylor expansion of 1/2 in x 3.480 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (/ 1 (hypot 1 (/ 1 x)))) in x 3.480 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 3.480 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 3.480 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.480 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.480 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.480 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.480 * [taylor]: Taking taylor expansion of 1/2 in x 3.480 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.480 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.480 * [taylor]: Taking taylor expansion of 1/2 in x 3.482 * [taylor]: Taking taylor expansion of 1 in x 3.485 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.485 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.485 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (/ 1 (hypot 1 (/ 1 x))))) in x 3.485 * [taylor]: Taking taylor expansion of 1/2 in x 3.485 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (/ 1 (hypot 1 (/ 1 x)))) in x 3.485 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 3.485 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 3.485 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.485 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.485 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.485 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.485 * [taylor]: Taking taylor expansion of 1/2 in x 3.485 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.485 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.485 * [taylor]: Taking taylor expansion of 1/2 in x 3.487 * [taylor]: Taking taylor expansion of 1 in x 3.490 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.490 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.543 * [approximate]: Taking taylor expansion of (* 1/2 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) in (x) around 0 3.543 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) in x 3.543 * [taylor]: Taking taylor expansion of 1/2 in x 3.543 * [taylor]: Taking taylor expansion of (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in x 3.543 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.543 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.544 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 3.544 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 3.544 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 3.544 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.544 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.544 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.544 * [taylor]: Taking taylor expansion of 1/2 in x 3.544 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.544 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.544 * [taylor]: Taking taylor expansion of 1/2 in x 3.546 * [taylor]: Taking taylor expansion of 1 in x 3.549 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) in x 3.549 * [taylor]: Taking taylor expansion of 1/2 in x 3.549 * [taylor]: Taking taylor expansion of (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in x 3.549 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.549 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.550 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 3.550 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 3.550 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 3.550 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.550 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.550 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.550 * [taylor]: Taking taylor expansion of 1/2 in x 3.550 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.550 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.550 * [taylor]: Taking taylor expansion of 1/2 in x 3.552 * [taylor]: Taking taylor expansion of 1 in x 3.603 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.604 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in (x) around 0 3.604 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 3.604 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 3.604 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.604 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.604 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.604 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.604 * [taylor]: Taking taylor expansion of 1/2 in x 3.604 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.604 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.604 * [taylor]: Taking taylor expansion of 1/2 in x 3.606 * [taylor]: Taking taylor expansion of 1 in x 3.609 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 3.609 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 3.609 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.609 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.609 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.609 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.609 * [taylor]: Taking taylor expansion of 1/2 in x 3.609 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.609 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.610 * [taylor]: Taking taylor expansion of 1/2 in x 3.612 * [taylor]: Taking taylor expansion of 1 in x 3.642 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in (x) around 0 3.642 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 3.642 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 3.642 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.642 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.642 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.642 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.642 * [taylor]: Taking taylor expansion of 1/2 in x 3.642 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.642 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.642 * [taylor]: Taking taylor expansion of 1/2 in x 3.645 * [taylor]: Taking taylor expansion of 1 in x 3.648 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 3.648 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 3.648 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.648 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.648 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.648 * [taylor]: Taking taylor expansion of 1/2 in x 3.648 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.648 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.648 * [taylor]: Taking taylor expansion of 1/2 in x 3.651 * [taylor]: Taking taylor expansion of 1 in x 3.685 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in (x) around 0 3.685 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 3.685 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 3.685 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 3.685 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.685 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.685 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.685 * [taylor]: Taking taylor expansion of 1/2 in x 3.686 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.686 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.686 * [taylor]: Taking taylor expansion of 1/2 in x 3.688 * [taylor]: Taking taylor expansion of 1 in x 3.691 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 3.691 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 3.691 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 3.691 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.691 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.691 * [taylor]: Taking taylor expansion of 1/2 in x 3.691 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.691 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.691 * [taylor]: Taking taylor expansion of 1/2 in x 3.693 * [taylor]: Taking taylor expansion of 1 in x 3.728 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.729 * [approximate]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) in (x) around 0 3.729 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) in x 3.729 * [taylor]: Taking taylor expansion of 1/2 in x 3.729 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 3.729 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 3.729 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.729 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.729 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.729 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.729 * [taylor]: Taking taylor expansion of 1/2 in x 3.729 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.729 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.729 * [taylor]: Taking taylor expansion of 1/2 in x 3.731 * [taylor]: Taking taylor expansion of 1 in x 3.733 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) in x 3.733 * [taylor]: Taking taylor expansion of 1/2 in x 3.733 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 3.733 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 3.733 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.733 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.733 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.733 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.733 * [taylor]: Taking taylor expansion of 1/2 in x 3.733 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.733 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.734 * [taylor]: Taking taylor expansion of 1/2 in x 3.735 * [taylor]: Taking taylor expansion of 1 in x 3.768 * [approximate]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) in (x) around 0 3.768 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) in x 3.768 * [taylor]: Taking taylor expansion of 1/2 in x 3.768 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 3.768 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 3.768 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.768 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.768 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.768 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.768 * [taylor]: Taking taylor expansion of 1/2 in x 3.768 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.768 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.768 * [taylor]: Taking taylor expansion of 1/2 in x 3.771 * [taylor]: Taking taylor expansion of 1 in x 3.774 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) in x 3.774 * [taylor]: Taking taylor expansion of 1/2 in x 3.774 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 3.774 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 3.774 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.774 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.774 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.774 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.774 * [taylor]: Taking taylor expansion of 1/2 in x 3.774 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.774 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.774 * [taylor]: Taking taylor expansion of 1/2 in x 3.777 * [taylor]: Taking taylor expansion of 1 in x 3.815 * [approximate]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in (x) around 0 3.815 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in x 3.815 * [taylor]: Taking taylor expansion of 1/2 in x 3.815 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 3.815 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 3.815 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 3.816 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.816 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.816 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.816 * [taylor]: Taking taylor expansion of 1/2 in x 3.816 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.816 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.816 * [taylor]: Taking taylor expansion of 1/2 in x 3.818 * [taylor]: Taking taylor expansion of 1 in x 3.820 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in x 3.820 * [taylor]: Taking taylor expansion of 1/2 in x 3.820 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 3.820 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 3.820 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 3.820 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 3.820 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 3.821 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 3.821 * [taylor]: Taking taylor expansion of 1/2 in x 3.821 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 3.821 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 3.821 * [taylor]: Taking taylor expansion of 1/2 in x 3.823 * [taylor]: Taking taylor expansion of 1 in x 3.859 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.860 * [approximate]: Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))))) in (x) around 0 3.860 * [taylor]: Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))))) in x 3.860 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) in x 3.860 * [taylor]: Taking taylor expansion of 1/2 in x 3.860 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 3.860 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 3.860 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.861 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.861 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.861 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.861 * [taylor]: Taking taylor expansion of 1/2 in x 3.861 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.861 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.861 * [taylor]: Taking taylor expansion of 1/2 in x 3.862 * [taylor]: Taking taylor expansion of 1 in x 3.865 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x)))) in x 3.865 * [taylor]: Taking taylor expansion of 1/2 in x 3.865 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))) in x 3.865 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 3.865 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 3.865 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.865 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.865 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.865 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.865 * [taylor]: Taking taylor expansion of 1/2 in x 3.865 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.865 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.865 * [taylor]: Taking taylor expansion of 1/2 in x 3.866 * [taylor]: Taking taylor expansion of 1 in x 3.869 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.869 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.869 * [taylor]: Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))))) in x 3.869 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)))) in x 3.869 * [taylor]: Taking taylor expansion of 1/2 in x 3.869 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 3.869 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 3.869 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.869 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.869 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.869 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.869 * [taylor]: Taking taylor expansion of 1/2 in x 3.869 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.869 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.869 * [taylor]: Taking taylor expansion of 1/2 in x 3.871 * [taylor]: Taking taylor expansion of 1 in x 3.873 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x)))) in x 3.873 * [taylor]: Taking taylor expansion of 1/2 in x 3.873 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) (/ 1 (hypot 1 x))) in x 3.873 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1))) in x 3.873 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1)) in x 3.873 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) 1) in x 3.873 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2)) in x 3.873 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 x))) 1/2) in x 3.873 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 x))) in x 3.873 * [taylor]: Taking taylor expansion of 1/2 in x 3.873 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.873 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.874 * [taylor]: Taking taylor expansion of 1/2 in x 3.875 * [taylor]: Taking taylor expansion of 1 in x 3.878 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 x)) in x 3.878 * [taylor]: Taking taylor expansion of (hypot 1 x) in x 3.957 * [approximate]: Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (/ 1 (hypot 1 (/ 1 x)))))) in (x) around 0 3.957 * [taylor]: Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (/ 1 (hypot 1 (/ 1 x)))))) in x 3.957 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) in x 3.957 * [taylor]: Taking taylor expansion of 1/2 in x 3.957 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 3.957 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 3.957 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.957 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.957 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.957 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.957 * [taylor]: Taking taylor expansion of 1/2 in x 3.957 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.957 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.958 * [taylor]: Taking taylor expansion of 1/2 in x 3.960 * [taylor]: Taking taylor expansion of 1 in x 3.963 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (/ 1 (hypot 1 (/ 1 x))))) in x 3.963 * [taylor]: Taking taylor expansion of 1/2 in x 3.963 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (/ 1 (hypot 1 (/ 1 x)))) in x 3.963 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 3.963 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 3.963 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.963 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.963 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.963 * [taylor]: Taking taylor expansion of 1/2 in x 3.963 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.963 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.964 * [taylor]: Taking taylor expansion of 1/2 in x 3.966 * [taylor]: Taking taylor expansion of 1 in x 3.969 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.969 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.969 * [taylor]: Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (/ 1 (hypot 1 (/ 1 x)))))) in x 3.969 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)))) in x 3.969 * [taylor]: Taking taylor expansion of 1/2 in x 3.969 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 3.969 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 3.970 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.970 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.970 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.970 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.970 * [taylor]: Taking taylor expansion of 1/2 in x 3.970 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.970 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.970 * [taylor]: Taking taylor expansion of 1/2 in x 3.972 * [taylor]: Taking taylor expansion of 1 in x 3.975 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (/ 1 (hypot 1 (/ 1 x))))) in x 3.975 * [taylor]: Taking taylor expansion of 1/2 in x 3.975 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) (/ 1 (hypot 1 (/ 1 x)))) in x 3.975 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1))) in x 3.975 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1)) in x 3.975 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) 1) in x 3.975 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2)) in x 3.975 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) 1/2) in x 3.975 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ 1 x)))) in x 3.975 * [taylor]: Taking taylor expansion of 1/2 in x 3.975 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.975 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 3.976 * [taylor]: Taking taylor expansion of 1/2 in x 3.978 * [taylor]: Taking taylor expansion of 1 in x 3.981 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ 1 x))) in x 3.981 * [taylor]: Taking taylor expansion of (hypot 1 (/ 1 x)) in x 4.071 * [approximate]: Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) (* 1/2 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))) in (x) around 0 4.071 * [taylor]: Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) (* 1/2 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))) in x 4.071 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in x 4.071 * [taylor]: Taking taylor expansion of 1/2 in x 4.071 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 4.071 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 4.071 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 4.071 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 4.071 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 4.071 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.072 * [taylor]: Taking taylor expansion of 1/2 in x 4.072 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.072 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.072 * [taylor]: Taking taylor expansion of 1/2 in x 4.074 * [taylor]: Taking taylor expansion of 1 in x 4.077 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) in x 4.077 * [taylor]: Taking taylor expansion of 1/2 in x 4.077 * [taylor]: Taking taylor expansion of (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in x 4.077 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.077 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.078 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 4.078 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 4.078 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 4.078 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 4.078 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 4.078 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.078 * [taylor]: Taking taylor expansion of 1/2 in x 4.078 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.078 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.078 * [taylor]: Taking taylor expansion of 1/2 in x 4.080 * [taylor]: Taking taylor expansion of 1 in x 4.083 * [taylor]: Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) (* 1/2 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))))) in x 4.084 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in x 4.084 * [taylor]: Taking taylor expansion of 1/2 in x 4.084 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 4.084 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 4.084 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 4.084 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 4.084 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 4.084 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.084 * [taylor]: Taking taylor expansion of 1/2 in x 4.084 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.084 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.084 * [taylor]: Taking taylor expansion of 1/2 in x 4.086 * [taylor]: Taking taylor expansion of 1 in x 4.089 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))))) in x 4.089 * [taylor]: Taking taylor expansion of 1/2 in x 4.089 * [taylor]: Taking taylor expansion of (* (/ 1 (hypot 1 (/ -1 x))) (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)))) in x 4.089 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.089 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.090 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1))) in x 4.090 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1)) in x 4.090 * [taylor]: Taking taylor expansion of (+ (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) 1) in x 4.090 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2)) in x 4.090 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) 1/2) in x 4.090 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (hypot 1 (/ -1 x)))) in x 4.090 * [taylor]: Taking taylor expansion of 1/2 in x 4.090 * [taylor]: Taking taylor expansion of (/ 1 (hypot 1 (/ -1 x))) in x 4.090 * [taylor]: Taking taylor expansion of (hypot 1 (/ -1 x)) in x 4.090 * [taylor]: Taking taylor expansion of 1/2 in x 4.092 * [taylor]: Taking taylor expansion of 1 in x 4.180 * * * [progress]: simplifying candidates 4.186 * [simplify]: Simplifying using # : (*.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (hypot.f64 1 x)) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (-.f64 (*.f64 1 1) (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (+.f64 (pow.f64 1 3) (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3)))) (/.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 1 (hypot.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 1/2 (hypot.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 1/2 (hypot.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 1/2 (sqrt.f64 (hypot.f64 1 x)))) (/.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 1/2 (cbrt.f64 (hypot.f64 1 x)))) (/.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (sqrt.f64 1/2) (hypot.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (sqrt.f64 1/2) (sqrt.f64 (hypot.f64 1 x)))) (/.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (sqrt.f64 1/2) (cbrt.f64 (hypot.f64 1 x)))) (/.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (cbrt.f64 1/2) (hypot.f64 1 x))) (/.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (cbrt.f64 1/2) (sqrt.f64 (hypot.f64 1 x)))) (/.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (cbrt.f64 1/2) (cbrt.f64 (hypot.f64 1 x)))) (/.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) (/.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x)))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) 1) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 1)) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (sqrt.f64 1))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (sqrt.f64 1))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 1)) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (cbrt.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (/.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 1/2 (hypot.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (/.f64 1/2 1) (/.f64 (/.f64 1 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (/.f64 1/2 (sqrt.f64 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1 x)))) (*.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1))))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1)))) (-.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1)))) (*.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1)))))) (-.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1)))) (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1))) (/.f64 1 (hypot.f64 1 x))))) (-.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1)))) (*.f64 1/2 (*.f64 (/.f64 1 (hypot.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))) 1/2)) 1)))))) 4.281 * * [simplify]: iteration 0 : 5364 enodes (cost 13365 ) 4.339 * [simplify]: Simplified to: (*.f64 (hypot.f64 1 x) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (/.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1 (pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3)))) (*.f64 (hypot.f64 1 x) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (/.f64 (sqrt.f64 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(sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (*.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) 4.342 * * * [progress]: adding candidates to table 6.055 * [progress]: [Phase 3 of 3] Extracting. 6.055 * * [regime]: Finding splitpoints for: (# # # # #) 6.058 * * * [regime-changes]: Trying 2 branch expressions: ((hypot.f64 1 x) x) 6.058 * * * * [regimes]: Trying to branch on (hypot.f64 1 x) from (# # # # #) 6.129 * * * * [regimes]: Trying to branch on x from (# # # # #) 6.206 * * * [regime]: Found split indices: #