19.173 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 0.031 * * [simplify]: iteration 0 : 70 enodes (cost 7 ) 0.031 * * [simplify]: iteration 1 : 70 enodes (cost 7 ) 0.031 * [simplify]: Simplified to: (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.042 * * * [progress]: generating rewritten candidates 0.042 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.051 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.055 * * * [progress]: generating series expansions 0.055 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.056 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in (x) around 0 0.056 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in x 0.056 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.056 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of 1 in x 0.056 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1)) (sqrt x)) in x 0.057 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.057 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of 1 in x 0.057 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.058 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.058 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in x 0.058 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x 0.058 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of 1 in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1 (/ 1 x))) (sqrt (/ 1 x))) in x 0.058 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x 0.058 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of 1 in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.058 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.062 * [approximate]: Taking taylor expansion of (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.062 * [taylor]: Taking taylor expansion of (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.062 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.062 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.062 * [taylor]: Taking taylor expansion of 1 in x 0.062 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.063 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.063 * [taylor]: Taking taylor expansion of -1 in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (- (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.063 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.063 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.063 * [taylor]: Taking taylor expansion of 1 in x 0.063 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.063 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.063 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.063 * [taylor]: Taking taylor expansion of -1 in x 0.063 * [taylor]: Taking taylor expansion of x in x 0.067 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.067 * [approximate]: Taking taylor expansion of (sqrt (+ x 1)) in (x) around 0 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.067 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of 1 in x 0.067 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.067 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of 1 in x 0.068 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in (x) around 0 0.068 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x 0.068 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of 1 in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x 0.068 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of 1 in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.070 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in (x) around 0 0.070 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.070 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.070 * [taylor]: Taking taylor expansion of 1 in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.070 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.070 * [taylor]: Taking taylor expansion of 1 in x 0.070 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.071 * * * [progress]: simplifying candidates 0.072 * [simplify]: Simplifying using # : (/.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 x))) (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (*.f64 (*.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (-.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3) (pow.f64 (sqrt.f64 x) 3)) (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (neg.f64 (sqrt.f64 x)) (-.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (-.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (-.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (-.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (-.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (log.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 (+.f64 x 1))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (*.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 1) (sqrt.f64 (+.f64 x 1)) (sqrt.f64 1) (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 1 3))) (sqrt.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 1 1) (*.f64 x 1)))) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 1 1))) (sqrt.f64 (-.f64 x 1)) (/.f64 1 2) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (-.f64 (+.f64 (*.f64 1/2 x) 1) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 x NAN.f64) (*.f64 (pow.f64 x 2) (pow.f64 NAN.f64 3))))) (-.f64 (+.f64 (/.f64 NAN.f64 x) (+.f64 (*.f64 6 (/.f64 (pow.f64 NAN.f64 5) (pow.f64 x 3))) (/.f64 (pow.f64 NAN.f64 5) (pow.f64 x 2)))) (+.f64 (/.f64 (pow.f64 NAN.f64 3) (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 (pow.f64 NAN.f64 3) (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 (pow.f64 NAN.f64 3) x)) (*.f64 6 (/.f64 (pow.f64 NAN.f64 7) (pow.f64 x 3))))))) (-.f64 (+.f64 (/.f64 (pow.f64 NAN.f64 3) (pow.f64 x 3)) (+.f64 (*.f64 2 (/.f64 (pow.f64 NAN.f64 3) x)) (+.f64 (*.f64 6 (/.f64 (pow.f64 NAN.f64 7) (pow.f64 x 3))) (/.f64 (pow.f64 NAN.f64 5) (pow.f64 x 2))))) (+.f64 (/.f64 NAN.f64 x) (+.f64 (*.f64 6 (/.f64 (pow.f64 NAN.f64 5) (pow.f64 x 3))) (*.f64 2 (/.f64 (pow.f64 NAN.f64 3) (pow.f64 x 2)))))) (-.f64 (+.f64 (*.f64 1/2 x) 1) (*.f64 1/8 (pow.f64 x 2))) (-.f64 (+.f64 (/.f64 NAN.f64 x) (+.f64 NAN.f64 (*.f64 2 (/.f64 (pow.f64 NAN.f64 5) (pow.f64 x 2))))) (+.f64 (/.f64 (pow.f64 NAN.f64 3) x) (*.f64 2 (/.f64 (pow.f64 NAN.f64 3) (pow.f64 x 2))))) (-.f64 (+.f64 (/.f64 (pow.f64 NAN.f64 3) x) (+.f64 NAN.f64 (*.f64 2 (/.f64 (pow.f64 NAN.f64 5) (pow.f64 x 2))))) (+.f64 (/.f64 NAN.f64 x) (*.f64 2 (/.f64 (pow.f64 NAN.f64 3) (pow.f64 x 2))))) 0.124 * * [simplify]: iteration 0 : 5006 enodes (cost 484 ) 0.127 * [simplify]: Simplified to: (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (log.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (exp.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 3) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (-.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3) (pow.f64 x 3/2)) (+.f64 (+.f64 x 1) (+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (neg.f64 (sqrt.f64 x)) 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (-.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (-.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (-.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (+.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (-.f64 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (log.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 (+.f64 x 1))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (pow.f64 (sqrt.f64 (+.f64 x 1)) 3) (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) 1 (sqrt.f64 (+.f64 x 1)) 1 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x))) (sqrt.f64 (-.f64 (*.f64 x x) 1)) (sqrt.f64 (-.f64 x 1)) 1/2 (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (+.f64 1 (-.f64 (-.f64 (*.f64 x 1/2) (*.f64 x NAN.f64)) (*.f64 (*.f64 x x) (+.f64 1/8 (pow.f64 NAN.f64 3))))) (+.f64 (-.f64 (+.f64 (/.f64 NAN.f64 x) (*.f64 (+.f64 (/.f64 6 x) 1) (/.f64 (pow.f64 NAN.f64 5) (*.f64 x x)))) (+.f64 (pow.f64 (/.f64 NAN.f64 x) 3) (*.f64 (/.f64 (pow.f64 NAN.f64 3) x) (+.f64 (/.f64 2 x) 2)))) (*.f64 -6 (/.f64 (pow.f64 NAN.f64 7) (pow.f64 x 3)))) (-.f64 (+.f64 (pow.f64 (/.f64 NAN.f64 x) 3) (+.f64 (/.f64 (pow.f64 NAN.f64 5) (*.f64 x x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 NAN.f64 3) x)) (*.f64 6 (/.f64 (pow.f64 NAN.f64 7) (pow.f64 x 3)))))) (+.f64 (/.f64 NAN.f64 x) (+.f64 (*.f64 6 (/.f64 (pow.f64 NAN.f64 5) (pow.f64 x 3))) (*.f64 2 (/.f64 (pow.f64 NAN.f64 3) (*.f64 x x)))))) (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))) (-.f64 (+.f64 (/.f64 NAN.f64 x) (+.f64 NAN.f64 (*.f64 2 (/.f64 (pow.f64 NAN.f64 5) (*.f64 x x))))) (*.f64 (+.f64 (/.f64 2 x) 1) (/.f64 (pow.f64 NAN.f64 3) x))) (-.f64 (+.f64 (/.f64 (pow.f64 NAN.f64 3) x) (+.f64 NAN.f64 (*.f64 2 (/.f64 (pow.f64 NAN.f64 5) (*.f64 x x))))) (+.f64 (/.f64 NAN.f64 x) (*.f64 2 (/.f64 (pow.f64 NAN.f64 3) (*.f64 x x))))) 0.127 * * * [progress]: adding candidates to table 0.156 * * [progress]: iteration 2 / 4 0.156 * * * [progress]: picking best candidate 0.159 * * * * [pick]: Picked # 0.159 * * * [progress]: localizing error 0.165 * * * [progress]: generating rewritten candidates 0.165 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.176 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.180 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.190 * * * [progress]: generating series expansions 0.191 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.191 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in (x) around 0 0.191 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x 0.191 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x 0.191 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.191 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of 1 in x 0.191 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x 0.191 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x 0.191 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.191 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of 1 in x 0.191 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.193 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) in (x) around 0 0.193 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) in x 0.193 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))) in x 0.193 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x 0.193 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.193 * [taylor]: Taking taylor expansion of 1 in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x))))) in x 0.193 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))) in x 0.193 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.193 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x 0.193 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.193 * [taylor]: Taking taylor expansion of 1 in x 0.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.193 * [taylor]: Taking taylor expansion of x in x 0.196 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in (x) around 0 0.196 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.196 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.196 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.196 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of 1 in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.196 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.196 * [taylor]: Taking taylor expansion of -1 in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.196 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.196 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.196 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of 1 in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.196 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.196 * [taylor]: Taking taylor expansion of -1 in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.199 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.199 * [approximate]: Taking taylor expansion of (sqrt (+ x 1)) in (x) around 0 0.199 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.199 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of 1 in x 0.199 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.199 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [taylor]: Taking taylor expansion of 1 in x 0.199 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in (x) around 0 0.199 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x 0.199 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.199 * [taylor]: Taking taylor expansion of 1 in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.200 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x 0.200 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.200 * [taylor]: Taking taylor expansion of 1 in x 0.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.200 * [taylor]: Taking taylor expansion of x in x 0.201 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in (x) around 0 0.201 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.201 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of 1 in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.201 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of 1 in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.203 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.203 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in (x) around 0 0.203 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.203 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of 1 in x 0.203 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.203 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of 1 in x 0.203 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.204 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))) in (x) around 0 0.204 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))) in x 0.204 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x 0.204 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.204 * [taylor]: Taking taylor expansion of 1 in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1 (/ 1 x)))) in x 0.204 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x 0.204 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 x)) in x 0.204 * [taylor]: Taking taylor expansion of 1 in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.206 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.206 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.206 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.206 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.207 * [taylor]: Taking taylor expansion of 1 in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.207 * [taylor]: Taking taylor expansion of -1 in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.207 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.207 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.207 * [taylor]: Taking taylor expansion of 1 in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.207 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.207 * [taylor]: Taking taylor expansion of -1 in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.209 * * * [progress]: simplifying candidates 0.210 * [simplify]: Simplifying using # : (neg.f64 1) (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (-.f64 0 (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (-.f64 (log.f64 1) (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (log.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (/.f64 (*.f64 (*.f64 1 1) 1) (*.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (*.f64 (*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (neg.f64 1) (neg.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (/.f64 (cbrt.f64 1) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (/.f64 (cbrt.f64 1) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) 1) (/.f64 (cbrt.f64 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 1)) (/.f64 (cbrt.f64 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 1)) (/.f64 (cbrt.f64 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) 1) (/.f64 (cbrt.f64 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 (sqrt.f64 1) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (/.f64 (sqrt.f64 1) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (/.f64 (sqrt.f64 1) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (/.f64 (sqrt.f64 1) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (/.f64 (sqrt.f64 1) 1) (/.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 (sqrt.f64 1) (sqrt.f64 1)) (/.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 (sqrt.f64 1) (sqrt.f64 1)) (/.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 (sqrt.f64 1) 1) (/.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (/.f64 1 1) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 1 (sqrt.f64 1)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 1 (sqrt.f64 1)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 1 1) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))))) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (/.f64 1 1) (/.f64 1 (sqrt.f64 1)) (/.f64 1 (sqrt.f64 1)) (/.f64 1 1) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (cbrt.f64 1)) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (sqrt.f64 1)) (/.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) 1) (/.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3) (pow.f64 (sqrt.f64 x) 3))) (/.f64 1 (-.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) (log.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 (+.f64 x 1))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) (*.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 1) (sqrt.f64 (+.f64 x 1)) (sqrt.f64 1) (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 1 3))) (sqrt.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 1 1) (*.f64 x 1)))) (sqrt.f64 (-.f64 (*.f64 x x) (*.f64 1 1))) (sqrt.f64 (-.f64 x 1)) (/.f64 1 2) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (sqrt.f64 (+.f64 x 1))) (*.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (exp.f64 (sqrt.f64 x))) (log.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (exp.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (*.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (+.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 3) (pow.f64 (sqrt.f64 x) 3)) (+.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (-.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))) (-.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (+.f64 (*.f64 (pow.f64 x 2) (pow.f64 NAN.f64 2)) (+.f64 (*.f64 (pow.f64 x 2) NAN.f64) 1))) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 x NAN.f64) (*.f64 (pow.f64 x 2) (pow.f64 NAN.f64 3))))) (-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 2) NAN.f64))) (+.f64 (*.f64 1/2 (/.f64 NAN.f64 (pow.f64 x 2))) (*.f64 1/2 (/.f64 1 NAN.f64)))) (+.f64 (*.f64 3/4 (/.f64 (pow.f64 NAN.f64 3) (pow.f64 x 2))) (*.f64 1/4 (/.f64 1 (*.f64 x NAN.f64))))) (-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 x 2) NAN.f64))) (+.f64 (*.f64 1/2 (/.f64 NAN.f64 (pow.f64 x 2))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 x NAN.f64))) (*.f64 1/2 (/.f64 1 NAN.f64))))) (*.f64 3/4 (/.f64 (pow.f64 NAN.f64 3) (pow.f64 x 2)))) (-.f64 (+.f64 (*.f64 1/2 x) 1) (*.f64 1/8 (pow.f64 x 2))) (-.f64 (+.f64 (/.f64 NAN.f64 x) (+.f64 NAN.f64 (*.f64 2 (/.f64 (pow.f64 NAN.f64 5) (pow.f64 x 2))))) (+.f64 (/.f64 (pow.f64 NAN.f64 3) x) (*.f64 2 (/.f64 (pow.f64 NAN.f64 3) (pow.f64 x 2))))) (-.f64 (+.f64 (/.f64 (pow.f64 NAN.f64 3) x) (+.f64 NAN.f64 (*.f64 2 (/.f64 (pow.f64 NAN.f64 5) (pow.f64 x 2))))) (+.f64 (/.f64 NAN.f64 x) (*.f64 2 (/.f64 (pow.f64 NAN.f64 3) (pow.f64 x 2))))) (-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 x NAN.f64) (+.f64 (*.f64 (pow.f64 x 2) (pow.f64 NAN.f64 3)) 1))) (*.f64 1/8 (pow.f64 x 2))) (-.f64 (+.f64 (/.f64 NAN.f64 x) (+.f64 (*.f64 2 NAN.f64) (*.f64 3 (/.f64 (pow.f64 NAN.f64 5) (pow.f64 x 2))))) (*.f64 2 (/.f64 (pow.f64 NAN.f64 3) (pow.f64 x 2)))) (-.f64 (+.f64 (*.f64 2 NAN.f64) (*.f64 3 (/.f64 (pow.f64 NAN.f64 5) (pow.f64 x 2)))) (+.f64 (/.f64 NAN.f64 x) (*.f64 2 (/.f64 (pow.f64 NAN.f64 3) (pow.f64 x 2))))) 0.263 * * [simplify]: iteration 0 : 4999 enodes (cost 966 ) 0.264 * * [simplify]: iteration 1 : 4999 enodes (cost 966 ) 0.268 * [simplify]: Simplified to: -1 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (exp.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)) (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3)) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) -1 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 (cbrt.f64 1) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 (cbrt.f64 1) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (/.f64 (cbrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (/.f64 (cbrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (/.f64 (cbrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (/.f64 (cbrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1 1 1 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (cbrt.f64 1)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3) (pow.f64 x 3/2))) 1 (log.f64 (sqrt.f64 (+.f64 1 x))) (exp.f64 (sqrt.f64 (+.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))) (pow.f64 (sqrt.f64 (+.f64 1 x)) 3) (fabs.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (sqrt.f64 (+.f64 1 x))) 1 (sqrt.f64 (+.f64 1 x)) 1 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x))) (sqrt.f64 (+.f64 -1 (*.f64 x x))) (sqrt.f64 (+.f64 -1 x)) 1/2 (sqrt.f64 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (sqrt.f64 (+.f64 1 x))) (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (log.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (exp.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) 3) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3) (pow.f64 x 3/2)) (+.f64 (+.f64 1 x) (-.f64 x (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (*.f64 (*.f64 x x) (+.f64 3/8 (+.f64 NAN.f64 (*.f64 NAN.f64 NAN.f64)))) (-.f64 1 (*.f64 x (+.f64 (*.f64 x (pow.f64 NAN.f64 3)) (+.f64 1/2 NAN.f64))))) (-.f64 (+.f64 (/.f64 1/8 (*.f64 (*.f64 x x) NAN.f64)) (+.f64 (*.f64 1/2 (/.f64 NAN.f64 (*.f64 x x))) (/.f64 1/2 NAN.f64))) (+.f64 (*.f64 3/4 (/.f64 (pow.f64 NAN.f64 3) (*.f64 x x))) (/.f64 1/4 (*.f64 x NAN.f64)))) (-.f64 (+.f64 (/.f64 1/8 (*.f64 (*.f64 x x) NAN.f64)) (+.f64 (*.f64 1/2 (/.f64 NAN.f64 (*.f64 x x))) (+.f64 (/.f64 1/2 NAN.f64) (/.f64 1/4 (*.f64 x NAN.f64))))) (*.f64 3/4 (/.f64 (pow.f64 NAN.f64 3) (*.f64 x x)))) (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 -1/8 x)))) (-.f64 (+.f64 (/.f64 NAN.f64 x) (+.f64 NAN.f64 (*.f64 2 (/.f64 (pow.f64 NAN.f64 5) (*.f64 x x))))) (*.f64 (+.f64 (/.f64 2 x) 1) (/.f64 (pow.f64 NAN.f64 3) x))) (-.f64 (+.f64 (+.f64 NAN.f64 (*.f64 2 (/.f64 (pow.f64 NAN.f64 5) (*.f64 x x)))) (/.f64 (pow.f64 NAN.f64 3) x)) (+.f64 (/.f64 NAN.f64 x) (*.f64 2 (/.f64 (pow.f64 NAN.f64 3) (*.f64 x x))))) (+.f64 (*.f64 x (+.f64 (*.f64 x (pow.f64 NAN.f64 3)) (+.f64 1/2 NAN.f64))) (-.f64 1 (*.f64 (*.f64 x x) 1/8))) (+.f64 (*.f64 3 (/.f64 (pow.f64 NAN.f64 5) (*.f64 x x))) (+.f64 (*.f64 2 (-.f64 NAN.f64 (/.f64 (pow.f64 NAN.f64 3) (*.f64 x x)))) (/.f64 NAN.f64 x))) (+.f64 (*.f64 3 (/.f64 (pow.f64 NAN.f64 5) (*.f64 x x))) (-.f64 (*.f64 2 (-.f64 NAN.f64 (/.f64 (pow.f64 NAN.f64 3) (*.f64 x x)))) (/.f64 NAN.f64 x))) 0.268 * * * [progress]: adding candidates to table 0.320 * * [progress]: iteration 3 / 4 0.320 * * * [progress]: picking best candidate 0.331 * * * * [pick]: Picked # 0.331 * * * [progress]: localizing error 0.340 * * * [progress]: generating rewritten candidates 0.340 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.378 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.391 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.402 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.432 * * * [progress]: generating series expansions 0.432 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.432 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in (x) around 0 0.432 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x 0.432 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x 0.432 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.432 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of 1 in x 0.432 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x 0.433 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x 0.433 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.433 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of 1 in x 0.433 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.434 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in (x) around 0 0.434 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x 0.434 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in x 0.434 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of 1 in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x 0.435 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in x 0.435 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of 1 in x 0.438 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in (x) around 0 0.438 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.438 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.438 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.438 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.438 * [taylor]: Taking taylor expansion of 1 in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.438 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.438 * [taylor]: Taking taylor expansion of -1 in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.438 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.438 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.438 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.438 * [taylor]: Taking taylor expansion of 1 in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.438 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.438 * [taylor]: Taking taylor expansion of -1 in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.441 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.441 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in (x) around 0 0.441 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x 0.441 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x 0.441 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.441 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of 1 in x 0.441 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x 0.441 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x 0.442 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.442 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of 1 in x 0.442 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.443 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in (x) around 0 0.443 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x 0.443 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in x 0.443 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x 0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of 1 in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x 0.443 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in x 0.443 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of 1 in x 0.446 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in (x) around 0 0.446 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.446 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.446 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.446 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.446 * [taylor]: Taking taylor expansion of 1 in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.446 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.446 * [taylor]: Taking taylor expansion of -1 in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.447 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.447 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.447 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.447 * [taylor]: Taking taylor expansion of 1 in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.447 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.447 * [taylor]: Taking taylor expansion of -1 in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.449 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.449 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in (x) around 0 0.449 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x 0.449 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x 0.449 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.449 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of 1 in x 0.450 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x 0.450 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x 0.450 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.450 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of 1 in x 0.450 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.451 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in (x) around 0 0.452 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x 0.452 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in x 0.452 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of 1 in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x 0.452 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in x 0.452 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of 1 in x 0.455 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in (x) around 0 0.455 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.455 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.455 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.455 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.455 * [taylor]: Taking taylor expansion of 1 in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.455 * [taylor]: Taking taylor expansion of -1 in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.455 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.455 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.455 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.455 * [taylor]: Taking taylor expansion of 1 in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.455 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.455 * [taylor]: Taking taylor expansion of -1 in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.458 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.458 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) in (x) around 0 0.458 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x 0.458 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x 0.458 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.458 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of 1 in x 0.458 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) in x 0.458 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x 0.458 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x 0.458 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.458 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of 1 in x 0.458 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.460 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))))) in (x) around 0 0.460 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))))) in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x 0.460 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in x 0.460 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.460 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x 0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of 1 in x 0.461 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))))) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x 0.461 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in x 0.461 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x 0.461 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of 1 in x 0.471 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) in (x) around 0 0.471 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.471 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.471 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.471 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.471 * [taylor]: Taking taylor expansion of 1 in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.471 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.471 * [taylor]: Taking taylor expansion of -1 in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.472 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.472 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.472 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.472 * [taylor]: Taking taylor expansion of 1 in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.472 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.472 * [taylor]: Taking taylor expansion of -1 in x 0.472 * [taylor]: Taking taylor expansion of x in x 0.476 * * * [progress]: simplifying candidates 0.481 * [simplify]: Simplifying using # : (+.f64 1/2 1/2) (+.f64 1/2 (/.f64 1 2)) (+.f64 1 1) (+.f64 (/.f64 -1 2) (/.f64 -1 2)) (+.f64 (/.f64 -1 2) (/.f64 (neg.f64 1) 2)) (+.f64 (/.f64 (neg.f64 1) 2) (/.f64 -1 2)) (+.f64 (/.f64 (neg.f64 1) 2) (/.f64 (neg.f64 1) 2)) (+.f64 (/.f64 1 2) 1/2) (+.f64 (/.f64 1 2) (/.f64 1 2)) (*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (+.f64 1 1) (+.f64 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(+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1 1 1 1 (/.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (cbrt.f64 1)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3) (pow.f64 x 3/2))) 1 (log.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (exp.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (cbrt.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3) (fabs.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (fabs.f64 (/.f64 (cbrt.f64 1) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (sqrt.f64 (/.f64 (cbrt.f64 1) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (sqrt.f64 (/.f64 (cbrt.f64 1) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (fabs.f64 (cbrt.f64 1)) (sqrt.f64 (/.f64 (cbrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (fabs.f64 (cbrt.f64 1)) (sqrt.f64 (/.f64 (cbrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (fabs.f64 (cbrt.f64 1)) (sqrt.f64 (/.f64 (cbrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (fabs.f64 (cbrt.f64 1)) (sqrt.f64 (/.f64 (cbrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (sqrt.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (sqrt.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (sqrt.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (sqrt.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3) (pow.f64 x 3/2)))) (sqrt.f64 (+.f64 (+.f64 1 x) (-.f64 x (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 1 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) -1/2 -1/2 1/2 (sqrt.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (sqrt.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 3/8 (+.f64 (*.f64 NAN.f64 NAN.f64) NAN.f64))) (-.f64 1 (*.f64 x (+.f64 (*.f64 x (pow.f64 NAN.f64 3)) (+.f64 1/2 NAN.f64))))) (-.f64 (+.f64 (/.f64 1/8 (*.f64 (*.f64 x x) NAN.f64)) (+.f64 (*.f64 1/2 (/.f64 NAN.f64 (*.f64 x x))) (/.f64 1/2 NAN.f64))) (+.f64 (*.f64 3/4 (/.f64 (pow.f64 NAN.f64 3) (*.f64 x x))) (/.f64 1/4 (*.f64 x NAN.f64)))) (-.f64 (+.f64 (/.f64 1/8 (*.f64 (*.f64 x x) NAN.f64)) (+.f64 (*.f64 1/2 (/.f64 NAN.f64 (*.f64 x x))) (+.f64 (/.f64 1/2 NAN.f64) (/.f64 1/4 (*.f64 x NAN.f64))))) (*.f64 3/4 (/.f64 (pow.f64 NAN.f64 3) (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x x) (+.f64 3/8 (+.f64 (*.f64 NAN.f64 NAN.f64) NAN.f64))) (-.f64 1 (*.f64 x (+.f64 (*.f64 x (pow.f64 NAN.f64 3)) (+.f64 1/2 NAN.f64))))) (-.f64 (+.f64 (/.f64 1/8 (*.f64 (*.f64 x x) NAN.f64)) (+.f64 (*.f64 1/2 (/.f64 NAN.f64 (*.f64 x x))) (/.f64 1/2 NAN.f64))) (+.f64 (*.f64 3/4 (/.f64 (pow.f64 NAN.f64 3) (*.f64 x x))) (/.f64 1/4 (*.f64 x NAN.f64)))) (-.f64 (+.f64 (/.f64 1/8 (*.f64 (*.f64 x x) NAN.f64)) (+.f64 (*.f64 1/2 (/.f64 NAN.f64 (*.f64 x x))) (+.f64 (/.f64 1/2 NAN.f64) (/.f64 1/4 (*.f64 x NAN.f64))))) (*.f64 3/4 (/.f64 (pow.f64 NAN.f64 3) (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x x) (+.f64 3/8 (+.f64 (*.f64 NAN.f64 NAN.f64) NAN.f64))) (-.f64 1 (*.f64 x (+.f64 (*.f64 x (pow.f64 NAN.f64 3)) (+.f64 1/2 NAN.f64))))) (-.f64 (+.f64 (/.f64 1/8 (*.f64 (*.f64 x x) NAN.f64)) (+.f64 (*.f64 1/2 (/.f64 NAN.f64 (*.f64 x x))) (/.f64 1/2 NAN.f64))) (+.f64 (*.f64 3/4 (/.f64 (pow.f64 NAN.f64 3) (*.f64 x x))) (/.f64 1/4 (*.f64 x NAN.f64)))) (-.f64 (+.f64 (/.f64 1/8 (*.f64 (*.f64 x x) NAN.f64)) (+.f64 (*.f64 1/2 (/.f64 NAN.f64 (*.f64 x x))) (+.f64 (/.f64 1/2 NAN.f64) (/.f64 1/4 (*.f64 x NAN.f64))))) (*.f64 3/4 (/.f64 (pow.f64 NAN.f64 3) (*.f64 x x)))) (+.f64 1 (+.f64 (*.f64 x (*.f64 (*.f64 x 3/8) (+.f64 (*.f64 NAN.f64 NAN.f64) NAN.f64))) (+.f64 (*.f64 x (-.f64 (*.f64 x 5/32) 1/4)) (*.f64 -1/2 (*.f64 x (+.f64 NAN.f64 (*.f64 x (pow.f64 NAN.f64 3)))))))) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 NAN.f64)) (-.f64 (+.f64 (/.f64 1/16 (*.f64 (*.f64 x x) (sqrt.f64 1/2))) (sqrt.f64 1/2)) (/.f64 1/8 (*.f64 x (sqrt.f64 1/2))))) (-.f64 (+.f64 (*.f64 3/8 (/.f64 (sqrt.f64 (pow.f64 NAN.f64 7)) (*.f64 (*.f64 x x) (sqrt.f64 1/2)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 NAN.f64)) (*.f64 (*.f64 x x) (sqrt.f64 1/2))) 1/64)) (*.f64 1/4 (/.f64 (sqrt.f64 (pow.f64 NAN.f64 3)) (*.f64 (*.f64 x x) (sqrt.f64 1/2)))))) (+.f64 (*.f64 1/4 (/.f64 (sqrt.f64 (pow.f64 NAN.f64 3)) (*.f64 (*.f64 x x) (sqrt.f64 1/2)))) (-.f64 (*.f64 (sqrt.f64 (/.f64 1 NAN.f64)) (+.f64 (+.f64 (/.f64 1/16 (*.f64 (*.f64 x x) (sqrt.f64 1/2))) (sqrt.f64 1/2)) (/.f64 1/8 (*.f64 x (sqrt.f64 1/2))))) (+.f64 (*.f64 3/8 (/.f64 (sqrt.f64 (pow.f64 NAN.f64 7)) (*.f64 (*.f64 x x) (sqrt.f64 1/2)))) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 NAN.f64)) (*.f64 (*.f64 x x) (sqrt.f64 1/2))) 1/64)))) 0.565 * * * [progress]: adding candidates to table 0.722 * * [progress]: iteration 4 / 4 0.722 * * * [progress]: picking best candidate 0.735 * * * * [pick]: Picked # 0.735 * * * [progress]: localizing error 0.746 * * * [progress]: generating rewritten candidates 0.747 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.762 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.777 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.835 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 0.873 * * * [progress]: generating series expansions 0.874 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.874 * [approximate]: Taking taylor expansion of (pow (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) 3) in (x) around 0 0.874 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) 3) in x 0.874 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) in x 0.874 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x 0.874 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x 0.874 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.874 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of 1 in x 0.874 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.874 * [taylor]: Taking taylor expansion of x in x 0.874 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) 3) in x 0.874 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) in x 0.874 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x 0.874 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x 0.875 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.875 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of 1 in x 0.875 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.878 * [approximate]: Taking taylor expansion of (pow (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))))) 3) in (x) around 0 0.878 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))))) 3) in x 0.878 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))))) in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x 0.878 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in x 0.878 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x 0.878 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of 1 in x 0.879 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))))) 3) in x 0.879 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))))) in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x 0.879 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in x 0.879 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x 0.879 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.879 * [taylor]: Taking taylor expansion of 1 in x 0.887 * [approximate]: Taking taylor expansion of (pow (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) 3) in (x) around 0 0.887 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) 3) in x 0.887 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.887 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.887 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.887 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.887 * [taylor]: Taking taylor expansion of 1 in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.887 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.887 * [taylor]: Taking taylor expansion of -1 in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) 3) in x 0.888 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.888 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.888 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.888 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.888 * [taylor]: Taking taylor expansion of 1 in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.888 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.888 * [taylor]: Taking taylor expansion of -1 in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.896 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.896 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) in (x) around 0 0.896 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) in x 0.896 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x 0.896 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x 0.896 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.896 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.896 * [taylor]: Taking taylor expansion of 1 in x 0.896 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1)) (sqrt x)))) in x 0.897 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x 0.897 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x 0.897 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.897 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of 1 in x 0.897 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.899 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))))) in (x) around 0 0.899 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))))) in x 0.899 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x 0.899 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in x 0.899 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.899 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x 0.899 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.899 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.899 * [taylor]: Taking taylor expansion of x in x 0.899 * [taylor]: Taking taylor expansion of 1 in x 0.900 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))))) in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x 0.900 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in x 0.900 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x 0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.900 * [taylor]: Taking taylor expansion of 1 in x 0.904 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) in (x) around 0 0.904 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.904 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.904 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.904 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.904 * [taylor]: Taking taylor expansion of 1 in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.904 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.904 * [taylor]: Taking taylor expansion of -1 in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))))) in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.905 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.905 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.905 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.905 * [taylor]: Taking taylor expansion of 1 in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.905 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.905 * [taylor]: Taking taylor expansion of -1 in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.909 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.909 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in (x) around 0 0.909 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x 0.909 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x 0.909 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.909 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [taylor]: Taking taylor expansion of 1 in x 0.909 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x 0.910 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x 0.910 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.910 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.910 * [taylor]: Taking taylor expansion of 1 in x 0.910 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.910 * [taylor]: Taking taylor expansion of x in x 0.911 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in (x) around 0 0.911 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x 0.911 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in x 0.911 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x 0.911 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of 1 in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x 0.912 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in x 0.912 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.912 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of 1 in x 0.914 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in (x) around 0 0.914 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.914 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.914 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.914 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.914 * [taylor]: Taking taylor expansion of 1 in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.915 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.915 * [taylor]: Taking taylor expansion of -1 in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.915 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.915 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.915 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.915 * [taylor]: Taking taylor expansion of 1 in x 0.915 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.915 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.915 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.915 * [taylor]: Taking taylor expansion of -1 in x 0.915 * [taylor]: Taking taylor expansion of x in x 0.917 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 0.918 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in (x) around 0 0.918 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x 0.918 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x 0.918 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.918 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of 1 in x 0.918 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1)) (sqrt x))) in x 0.918 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1)) (sqrt x)) in x 0.918 * [taylor]: Taking taylor expansion of (sqrt (+ x 1)) in x 0.918 * [taylor]: Taking taylor expansion of (+ x 1) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of 1 in x 0.918 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.919 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in (x) around 0 0.919 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x 0.919 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in x 0.919 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x 0.920 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of 1 in x 0.920 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1)))) in x 0.920 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ (/ 1 x) 1))) in x 0.920 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1)) in x 0.920 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 0.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [taylor]: Taking taylor expansion of 1 in x 0.922 * [approximate]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in (x) around 0 0.922 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.922 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.922 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.922 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.922 * [taylor]: Taking taylor expansion of 1 in x 0.922 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.922 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.923 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.923 * [taylor]: Taking taylor expansion of -1 in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x)))) in x 0.923 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1 (/ 1 x))) (sqrt (/ -1 x))) in x 0.923 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 0.923 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 0.923 * [taylor]: Taking taylor expansion of 1 in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.923 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.923 * [taylor]: Taking taylor expansion of -1 in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.925 * * * [progress]: simplifying candidates 0.931 * [simplify]: Simplifying using # : (*.f64 (log.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3) (*.f64 (log.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3) (*.f64 1/2 3) (*.f64 1 3) (*.f64 (/.f64 -1 2) 3) (*.f64 (/.f64 (neg.f64 1) 2) 3) (*.f64 (/.f64 1 2) 3) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 3)) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 1) (pow.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) (cbrt.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3) (pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) 3) (pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 1) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 1) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) 1)) 3) (pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 1))) 3) (pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 1))) 3) (pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) 1)) 3) (pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) 3) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1) 1)) 3) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1) (sqrt.f64 1))) 3) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1) (sqrt.f64 1))) 3) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1) 1)) 3) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 1) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 1)) 3) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 1))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 1))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 1)) 3) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3) (pow.f64 (sqrt.f64 1) 3) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3) (pow.f64 (sqrt.f64 1) 3) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) 3) (pow.f64 (sqrt.f64 x) 3)))) 3) (pow.f64 (sqrt.f64 (+.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (-.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (-.f64 (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))) 3) (pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 3) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))) 3) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 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(sqrt.f64 NAN.f64))) (+.f64 (*.f64 3/8 (*.f64 (/.f64 (sqrt.f64 1/2) x) (sqrt.f64 (/.f64 1 (pow.f64 NAN.f64 3))))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 NAN.f64 3))) (pow.f64 (sqrt.f64 1/2) 3)))))) (*.f64 9/8 (*.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 x 2)) (sqrt.f64 (pow.f64 NAN.f64 5))))) (-.f64 (+.f64 (*.f64 5/32 (pow.f64 x 2)) (+.f64 (*.f64 3/8 (*.f64 (pow.f64 x 2) (pow.f64 NAN.f64 2))) (+.f64 (*.f64 3/8 (*.f64 (pow.f64 x 2) NAN.f64)) 1))) (+.f64 (*.f64 1/4 x) (+.f64 (*.f64 1/2 (*.f64 x NAN.f64)) (*.f64 1/2 (*.f64 (pow.f64 x 2) (pow.f64 NAN.f64 3)))))) (-.f64 (+.f64 (*.f64 1/4 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 1/2))) (sqrt.f64 (pow.f64 NAN.f64 3)))) (+.f64 (*.f64 1/16 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 1/2))) (sqrt.f64 (/.f64 1 NAN.f64)))) (*.f64 (sqrt.f64 (/.f64 1 NAN.f64)) (sqrt.f64 1/2)))) (+.f64 (*.f64 1/8 (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 1/2))) (sqrt.f64 (/.f64 1 NAN.f64)))) (+.f64 (*.f64 3/8 (*.f64 (/.f64 1 (*.f64 (pow.f64 x 2) (sqrt.f64 1/2))) (sqrt.f64 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branch expressions: (x) 1.185 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 1.216 * * * [regime]: Found split indices: #