8.896 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.028 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.031 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.032 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.033 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.033 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.033 * * [progress]: iteration 1 / 4 0.033 * * * [progress]: picking best candidate 0.035 * * * * [pick]: Picked # 0.035 * * * [progress]: localizing error 0.040 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.072 * * * [progress]: generating series expansions 0.072 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.073 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.073 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.073 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.075 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.076 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.102 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.102 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.102 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.105 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.105 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.122 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.122 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.123 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.123 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.123 * [taylor]: Taking taylor expansion of 1.0 in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.124 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.124 * [taylor]: Taking taylor expansion of -1 in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.126 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.127 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.127 * [taylor]: Taking taylor expansion of -1 in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.144 * * * [progress]: simplifying candidates 0.145 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma 1 (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (/ (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (* (* (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (sqrt x)) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.151 * * [simplify]: iteration 0 : 252 enodes (cost 1065 ) 0.155 * * [simplify]: iteration 1 : 759 enodes (cost 733 ) 0.175 * * [simplify]: iteration 2 : 4363 enodes (cost 623 ) 0.273 * * [simplify]: iteration 3 : 5001 enodes (cost 593 ) 0.277 * [simplify]: Simplified to: (fma (- (sqrt x)) 1 (pow (cbrt (sqrt (+ x 1.0))) 3)) (- (sqrt x) (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (fma (- (sqrt x)) 1 (pow (cbrt (sqrt (+ x 1.0))) 3)) (- (sqrt x) (sqrt x)) (fma (- (sqrt x)) 1 (pow (cbrt (sqrt (+ x 1.0))) 3)) (- (sqrt x) (sqrt x)) (fma (- (sqrt x)) 1 (pow (cbrt (sqrt (+ x 1.0))) 3)) (- (sqrt x) (sqrt x)) (fma (- (sqrt x)) 1 (pow (cbrt (sqrt (+ x 1.0))) 3)) (- (sqrt x) (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (- (sqrt x) (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (* (sqrt (cbrt x)) (- (fabs (cbrt x))))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (- (sqrt x) (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (- (sqrt x) (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (- (sqrt x) (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (pow (- (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (+ (fma (sqrt x) (sqrt (+ x 1.0)) x) x) 1.0) (- (sqrt x)) (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) 0.277 * * * [progress]: adding candidates to table 0.367 * * [progress]: iteration 2 / 4 0.367 * * * [progress]: picking best candidate 0.370 * * * * [pick]: Picked # 0.370 * * * [progress]: localizing error 0.378 * * * [progress]: generating rewritten candidates 0.378 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.409 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.434 * * * [progress]: generating series expansions 0.434 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.435 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.435 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.435 * [taylor]: Taking taylor expansion of 1.0 in x 0.435 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.435 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.435 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of 1.0 in x 0.437 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.439 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.439 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.439 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.440 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.519 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.519 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.519 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.521 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.521 * [taylor]: Taking taylor expansion of 1.0 in x 0.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.521 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.523 * [taylor]: Taking taylor expansion of 1.0 in x 0.523 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.523 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.524 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.525 * [taylor]: Taking taylor expansion of 1.0 in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.546 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.546 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.546 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.546 * [taylor]: Taking taylor expansion of -1 in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.547 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.550 * [taylor]: Taking taylor expansion of 1.0 in x 0.550 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.550 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.550 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.550 * [taylor]: Taking taylor expansion of -1 in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.551 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.551 * [taylor]: Taking taylor expansion of 1.0 in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.572 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.572 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.572 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.572 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.572 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.575 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.575 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of 1.0 in x 0.577 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.599 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.599 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.599 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.601 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.601 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.601 * [taylor]: Taking taylor expansion of 1.0 in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.602 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.604 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.604 * [taylor]: Taking taylor expansion of 1.0 in x 0.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.618 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.618 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.618 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.618 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.618 * [taylor]: Taking taylor expansion of -1 in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.620 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.620 * [taylor]: Taking taylor expansion of 1.0 in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.622 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.622 * [taylor]: Taking taylor expansion of -1 in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.623 * [taylor]: Taking taylor expansion of 1.0 in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.638 * * * [progress]: simplifying candidates 0.640 * [simplify]: Simplifying using # : (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (log (+ 1.0 0)) (log (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (+ 1.0 0)) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) 1) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) 1) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (/ (+ 1.0 0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (* 1.0 1.0) (- (* 0 0) (* 1.0 0)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (- 1.0 0)) (expm1 (+ (sqrt (+ x 1.0)) (sqrt x))) (log1p (+ (sqrt (+ x 1.0)) (sqrt x))) (* (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.645 * * [simplify]: iteration 0 : 356 enodes (cost 693 ) 0.652 * * [simplify]: iteration 1 : 1446 enodes (cost 627 ) 0.680 * * [simplify]: iteration 2 : 5001 enodes (cost 586 ) 0.683 * [simplify]: Simplified to: (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- 0 1.0) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1.0 1.0 1.0 1.0 (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ 1.0 (* (fma x (sqrt x) (pow (sqrt (+ x 1.0)) 3)) 1)) (/ 1.0 (* (+ x (- 1.0 x)) 1)) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (* 1.0 1.0)) (* 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (expm1 (+ (sqrt (+ x 1.0)) (sqrt x))) (log1p (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (pow (+ (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (fma x (sqrt x) (pow (sqrt (+ x 1.0)) 3)) (- (+ (+ x 1.0) x) (* (sqrt (+ x 1.0)) (sqrt x))) 1.0 (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (+ (/ 1.0 (sqrt 1.0)) (fma 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)) (- (fma +nan.0 (/ x (/ 1.0 x)) (* 0.5 (/ x (pow (sqrt 1.0) 3))))))) (fma +nan.0 (* (/ x 1.0) (/ x 1.0)) (fma (- +nan.0) (/ x 1.0) (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) 0.683 * * * [progress]: adding candidates to table 0.840 * * [progress]: iteration 3 / 4 0.840 * * * [progress]: picking best candidate 0.851 * * * * [pick]: Picked # 0.851 * * * [progress]: localizing error 0.861 * * * [progress]: generating rewritten candidates 0.861 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.950 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.982 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.010 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.092 * * * [progress]: generating series expansions 1.092 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.092 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.092 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.092 * [taylor]: Taking taylor expansion of 1.0 in x 1.092 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.093 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.093 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of 1.0 in x 1.094 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.097 * [taylor]: Taking taylor expansion of 1.0 in x 1.097 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.097 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.097 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.097 * [taylor]: Taking taylor expansion of x in x 1.097 * [taylor]: Taking taylor expansion of 1.0 in x 1.098 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.099 * [taylor]: Taking taylor expansion of x in x 1.177 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.177 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.177 * [taylor]: Taking taylor expansion of 1.0 in x 1.177 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.177 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.178 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.178 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.179 * [taylor]: Taking taylor expansion of 1.0 in x 1.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.181 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.181 * [taylor]: Taking taylor expansion of 1.0 in x 1.181 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.181 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.182 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.182 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.182 * [taylor]: Taking taylor expansion of 1.0 in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.203 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.203 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.203 * [taylor]: Taking taylor expansion of 1.0 in x 1.203 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.203 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.203 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.204 * [taylor]: Taking taylor expansion of -1 in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.205 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.205 * [taylor]: Taking taylor expansion of 1.0 in x 1.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.208 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.208 * [taylor]: Taking taylor expansion of 1.0 in x 1.208 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.208 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.208 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.208 * [taylor]: Taking taylor expansion of -1 in x 1.208 * [taylor]: Taking taylor expansion of x in x 1.209 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.209 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.209 * [taylor]: Taking taylor expansion of 1.0 in x 1.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.230 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.231 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 1.231 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.231 * [taylor]: Taking taylor expansion of 1.0 in x 1.231 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.231 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.231 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.231 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.231 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.231 * [taylor]: Taking taylor expansion of x in x 1.231 * [taylor]: Taking taylor expansion of 1.0 in x 1.239 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.256 * [taylor]: Taking taylor expansion of 1.0 in x 1.256 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.256 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.256 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.256 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.256 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.256 * [taylor]: Taking taylor expansion of x in x 1.256 * [taylor]: Taking taylor expansion of 1.0 in x 1.258 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.258 * [taylor]: Taking taylor expansion of x in x 1.439 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 1.439 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.439 * [taylor]: Taking taylor expansion of 1.0 in x 1.439 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.439 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.439 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.439 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.439 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.441 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.441 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.441 * [taylor]: Taking taylor expansion of 1.0 in x 1.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.451 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.451 * [taylor]: Taking taylor expansion of 1.0 in x 1.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.451 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.451 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.451 * [taylor]: Taking taylor expansion of x in x 1.453 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.453 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.453 * [taylor]: Taking taylor expansion of 1.0 in x 1.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.453 * [taylor]: Taking taylor expansion of x in x 1.505 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 1.505 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.505 * [taylor]: Taking taylor expansion of 1.0 in x 1.505 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.505 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.505 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.505 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.506 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.506 * [taylor]: Taking taylor expansion of -1 in x 1.506 * [taylor]: Taking taylor expansion of x in x 1.507 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.507 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.507 * [taylor]: Taking taylor expansion of 1.0 in x 1.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.507 * [taylor]: Taking taylor expansion of x in x 1.518 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.518 * [taylor]: Taking taylor expansion of 1.0 in x 1.518 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.518 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.518 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.518 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.518 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.518 * [taylor]: Taking taylor expansion of -1 in x 1.518 * [taylor]: Taking taylor expansion of x in x 1.519 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.520 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.520 * [taylor]: Taking taylor expansion of 1.0 in x 1.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.520 * [taylor]: Taking taylor expansion of x in x 1.572 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.573 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.573 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.573 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.573 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.573 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.573 * [taylor]: Taking taylor expansion of x in x 1.573 * [taylor]: Taking taylor expansion of 1.0 in x 1.574 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.581 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.581 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.581 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.581 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.581 * [taylor]: Taking taylor expansion of x in x 1.581 * [taylor]: Taking taylor expansion of 1.0 in x 1.583 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.583 * [taylor]: Taking taylor expansion of x in x 1.644 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.644 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.644 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.644 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.644 * [taylor]: Taking taylor expansion of x in x 1.651 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.652 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.652 * [taylor]: Taking taylor expansion of 1.0 in x 1.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.652 * [taylor]: Taking taylor expansion of x in x 1.661 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.661 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.661 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.661 * [taylor]: Taking taylor expansion of x in x 1.662 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.662 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.662 * [taylor]: Taking taylor expansion of 1.0 in x 1.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.662 * [taylor]: Taking taylor expansion of x in x 1.690 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.690 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.690 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.690 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.690 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.691 * [taylor]: Taking taylor expansion of -1 in x 1.691 * [taylor]: Taking taylor expansion of x in x 1.692 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.692 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.692 * [taylor]: Taking taylor expansion of 1.0 in x 1.692 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.692 * [taylor]: Taking taylor expansion of x in x 1.702 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.702 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.702 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.702 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.702 * [taylor]: Taking taylor expansion of -1 in x 1.702 * [taylor]: Taking taylor expansion of x in x 1.703 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.703 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.703 * [taylor]: Taking taylor expansion of 1.0 in x 1.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.703 * [taylor]: Taking taylor expansion of x in x 1.737 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.737 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.737 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.737 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.737 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.738 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.738 * [taylor]: Taking taylor expansion of x in x 1.738 * [taylor]: Taking taylor expansion of 1.0 in x 1.739 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.739 * [taylor]: Taking taylor expansion of x in x 1.746 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.746 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.746 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.746 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.746 * [taylor]: Taking taylor expansion of x in x 1.746 * [taylor]: Taking taylor expansion of 1.0 in x 1.748 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.748 * [taylor]: Taking taylor expansion of x in x 1.808 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.808 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.808 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.808 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.808 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.808 * [taylor]: Taking taylor expansion of x in x 1.810 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.810 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.810 * [taylor]: Taking taylor expansion of 1.0 in x 1.810 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.810 * [taylor]: Taking taylor expansion of x in x 1.825 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.825 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.825 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.825 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.825 * [taylor]: Taking taylor expansion of x in x 1.826 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.826 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.826 * [taylor]: Taking taylor expansion of 1.0 in x 1.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.826 * [taylor]: Taking taylor expansion of x in x 1.854 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.854 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.854 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.854 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.854 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.854 * [taylor]: Taking taylor expansion of -1 in x 1.854 * [taylor]: Taking taylor expansion of x in x 1.856 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.856 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.856 * [taylor]: Taking taylor expansion of 1.0 in x 1.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.856 * [taylor]: Taking taylor expansion of x in x 1.865 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.865 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.865 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.865 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.865 * [taylor]: Taking taylor expansion of -1 in x 1.865 * [taylor]: Taking taylor expansion of x in x 1.866 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.866 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.866 * [taylor]: Taking taylor expansion of 1.0 in x 1.866 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.867 * [taylor]: Taking taylor expansion of x in x 1.895 * * * [progress]: simplifying candidates 1.913 * [simplify]: Simplifying using # : (expm1 (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log1p (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (- (log (+ 1.0 0)) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (log (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (exp (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (* (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 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(* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (+ (- (fma 1/4 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (sqrt (sqrt 1.0))) (fma (* +nan.0 (pow x 2)) (sqrt (/ 1 (pow (sqrt 1.0) 3))) (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7))))))) (- (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0))))) (fma +nan.0 (* (pow x 2) (sqrt (/ 1 (sqrt 1.0)))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (+ (- (fma 1/4 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (sqrt (sqrt 1.0))) (fma (* +nan.0 (pow x 2)) (sqrt (/ 1 (pow (sqrt 1.0) 3))) (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7))))))) (- (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0))))) (fma +nan.0 (* (pow x 2) (sqrt (/ 1 (sqrt 1.0)))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) 2.062 * * * [progress]: adding candidates to table 2.657 * * [progress]: iteration 4 / 4 2.657 * * * [progress]: picking best candidate 2.676 * * * * [pick]: Picked # 2.676 * * * [progress]: localizing error 2.708 * * * [progress]: generating rewritten candidates 2.708 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2) 2.713 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2 1) 2.720 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 2.722 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.821 * * * [progress]: generating series expansions 2.821 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2) 2.821 * [approximate]: Taking taylor expansion of (- x (sqrt (* x (+ x 1.0)))) in (x) around 0 2.821 * [taylor]: Taking taylor expansion of (- x (sqrt (* x (+ x 1.0)))) in x 2.821 * [taylor]: Taking taylor expansion of x in x 2.821 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 2.821 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 2.821 * [taylor]: Taking taylor expansion of x in x 2.821 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.821 * [taylor]: Taking taylor expansion of x in x 2.821 * [taylor]: Taking taylor expansion of 1.0 in x 2.825 * [taylor]: Taking taylor expansion of (- x (sqrt (* x (+ x 1.0)))) in x 2.825 * [taylor]: Taking taylor expansion of x in x 2.825 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 2.825 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 2.825 * [taylor]: Taking taylor expansion of x in x 2.825 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.825 * [taylor]: Taking taylor expansion of x in x 2.825 * [taylor]: Taking taylor expansion of 1.0 in x 2.838 * [approximate]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ (+ 1.0 (/ 1 x)) x))) in (x) around 0 2.838 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ (+ 1.0 (/ 1 x)) x))) in x 2.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.838 * [taylor]: Taking taylor expansion of x in x 2.839 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 2.839 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 2.839 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.839 * [taylor]: Taking taylor expansion of 1.0 in x 2.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.839 * [taylor]: Taking taylor expansion of x in x 2.839 * [taylor]: Taking taylor expansion of x in x 2.842 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ (+ 1.0 (/ 1 x)) x))) in x 2.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.843 * [taylor]: Taking taylor expansion of x in x 2.843 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 2.843 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 2.843 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.843 * [taylor]: Taking taylor expansion of 1.0 in x 2.843 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.843 * [taylor]: Taking taylor expansion of x in x 2.843 * [taylor]: Taking taylor expansion of x in x 2.858 * [approximate]: Taking taylor expansion of (- (pow (sqrt (/ -1 x)) 2) (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in (x) around 0 2.858 * [taylor]: Taking taylor expansion of (- (pow (sqrt (/ -1 x)) 2) (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 2.858 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.858 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.858 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.858 * [taylor]: Taking taylor expansion of -1 in x 2.859 * [taylor]: Taking taylor expansion of x in x 2.860 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.860 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.860 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.860 * [taylor]: Taking taylor expansion of 1.0 in x 2.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.860 * [taylor]: Taking taylor expansion of x in x 2.862 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.862 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.862 * [taylor]: Taking taylor expansion of -1 in x 2.862 * [taylor]: Taking taylor expansion of x in x 2.863 * [taylor]: Taking taylor expansion of (- (pow (sqrt (/ -1 x)) 2) (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 2.863 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.863 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.863 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.863 * [taylor]: Taking taylor expansion of -1 in x 2.863 * [taylor]: Taking taylor expansion of x in x 2.865 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.865 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.865 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.865 * [taylor]: Taking taylor expansion of 1.0 in x 2.865 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.865 * [taylor]: Taking taylor expansion of x in x 2.866 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.866 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.866 * [taylor]: Taking taylor expansion of -1 in x 2.866 * [taylor]: Taking taylor expansion of x in x 2.912 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2 1) 2.912 * [approximate]: Taking taylor expansion of x in (x) around 0 2.913 * [taylor]: Taking taylor expansion of x in x 2.913 * [taylor]: Taking taylor expansion of x in x 2.913 * [approximate]: Taking taylor expansion of (/ 1 x) in (x) around 0 2.913 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.913 * [taylor]: Taking taylor expansion of x in x 2.913 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.913 * [taylor]: Taking taylor expansion of x in x 2.916 * [approximate]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in (x) around 0 2.916 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.916 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.916 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.917 * [taylor]: Taking taylor expansion of -1 in x 2.917 * [taylor]: Taking taylor expansion of x in x 2.918 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.918 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.918 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.918 * [taylor]: Taking taylor expansion of -1 in x 2.918 * [taylor]: Taking taylor expansion of x in x 2.928 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 2.928 * [approximate]: Taking taylor expansion of (pow (sqrt x) 3/2) in (x) around 0 2.928 * [taylor]: Taking taylor expansion of (pow (sqrt x) 3/2) in x 2.928 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt x)))) in x 2.928 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt x))) in x 2.928 * [taylor]: Taking taylor expansion of 3/2 in x 2.928 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 2.928 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.928 * [taylor]: Taking taylor expansion of x in x 2.930 * [taylor]: Taking taylor expansion of (pow (sqrt x) 3/2) in x 2.930 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt x)))) in x 2.930 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt x))) in x 2.930 * [taylor]: Taking taylor expansion of 3/2 in x 2.930 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 2.930 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.930 * [taylor]: Taking taylor expansion of x in x 2.959 * [approximate]: Taking taylor expansion of (pow (sqrt (/ 1 x)) 3/2) in (x) around 0 2.959 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 x)) 3/2) in x 2.959 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt (/ 1 x))))) in x 2.959 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt (/ 1 x)))) in x 2.959 * [taylor]: Taking taylor expansion of 3/2 in x 2.959 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 2.959 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.959 * [taylor]: Taking taylor expansion of x in x 2.962 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 x)) 3/2) in x 2.962 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt (/ 1 x))))) in x 2.962 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt (/ 1 x)))) in x 2.962 * [taylor]: Taking taylor expansion of 3/2 in x 2.962 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 2.962 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.962 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.962 * [taylor]: Taking taylor expansion of x in x 3.004 * [approximate]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 3/2) in (x) around 0 3.004 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 3/2) in x 3.004 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt (/ -1 x))))) in x 3.004 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt (/ -1 x)))) in x 3.004 * [taylor]: Taking taylor expansion of 3/2 in x 3.004 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 3.004 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.004 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.004 * [taylor]: Taking taylor expansion of -1 in x 3.004 * [taylor]: Taking taylor expansion of x in x 3.007 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 3/2) in x 3.007 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt (/ -1 x))))) in x 3.007 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt (/ -1 x)))) in x 3.007 * [taylor]: Taking taylor expansion of 3/2 in x 3.007 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 3.007 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.007 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.007 * [taylor]: Taking taylor expansion of -1 in x 3.007 * [taylor]: Taking taylor expansion of x in x 3.042 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.043 * [approximate]: Taking taylor expansion of (sqrt (/ (- (+ (* 2 x) 1.0) (sqrt (* x (+ x 1.0)))) (+ (sqrt (+ x 1.0)) (sqrt x)))) in (x) around 0 3.043 * [taylor]: Taking taylor expansion of (sqrt (/ (- (+ (* 2 x) 1.0) (sqrt (* x (+ x 1.0)))) (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.043 * [taylor]: Taking taylor expansion of (/ (- (+ (* 2 x) 1.0) (sqrt (* x (+ x 1.0)))) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.043 * [taylor]: Taking taylor expansion of (- (+ (* 2 x) 1.0) (sqrt (* x (+ x 1.0)))) in x 3.043 * [taylor]: Taking taylor expansion of (+ (* 2 x) 1.0) in x 3.043 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.043 * [taylor]: Taking taylor expansion of 2 in x 3.043 * [taylor]: Taking taylor expansion of x in x 3.043 * [taylor]: Taking taylor expansion of 1.0 in x 3.043 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 3.043 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 3.043 * [taylor]: Taking taylor expansion of x in x 3.043 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.043 * [taylor]: Taking taylor expansion of x in x 3.043 * [taylor]: Taking taylor expansion of 1.0 in x 3.046 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.046 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.046 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.046 * [taylor]: Taking taylor expansion of x in x 3.046 * [taylor]: Taking taylor expansion of 1.0 in x 3.048 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.048 * [taylor]: Taking taylor expansion of x in x 3.077 * [taylor]: Taking taylor expansion of (sqrt (/ (- (+ (* 2 x) 1.0) (sqrt (* x (+ x 1.0)))) (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.077 * [taylor]: Taking taylor expansion of (/ (- (+ (* 2 x) 1.0) (sqrt (* x (+ x 1.0)))) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.077 * [taylor]: Taking taylor expansion of (- (+ (* 2 x) 1.0) (sqrt (* x (+ x 1.0)))) in x 3.077 * [taylor]: Taking taylor expansion of (+ (* 2 x) 1.0) in x 3.077 * [taylor]: Taking taylor expansion of (* 2 x) in x 3.077 * [taylor]: Taking taylor expansion of 2 in x 3.077 * [taylor]: Taking taylor expansion of x in x 3.077 * [taylor]: Taking taylor expansion of 1.0 in x 3.077 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 3.077 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 3.077 * [taylor]: Taking taylor expansion of x in x 3.078 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.078 * [taylor]: Taking taylor expansion of x in x 3.078 * [taylor]: Taking taylor expansion of 1.0 in x 3.081 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.081 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.081 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.081 * [taylor]: Taking taylor expansion of x in x 3.081 * [taylor]: Taking taylor expansion of 1.0 in x 3.083 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.083 * [taylor]: Taking taylor expansion of x in x 3.333 * [approximate]: Taking taylor expansion of (sqrt (/ (- (+ (* 2 (/ 1 x)) 1.0) (sqrt (/ (+ 1.0 (/ 1 x)) x))) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in (x) around 0 3.333 * [taylor]: Taking taylor expansion of (sqrt (/ (- (+ (* 2 (/ 1 x)) 1.0) (sqrt (/ (+ 1.0 (/ 1 x)) x))) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.333 * [taylor]: Taking taylor expansion of (/ (- (+ (* 2 (/ 1 x)) 1.0) (sqrt (/ (+ 1.0 (/ 1 x)) x))) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.333 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 x)) 1.0) (sqrt (/ (+ 1.0 (/ 1 x)) x))) in x 3.333 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) 1.0) in x 3.333 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.333 * [taylor]: Taking taylor expansion of 2 in x 3.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.333 * [taylor]: Taking taylor expansion of x in x 3.333 * [taylor]: Taking taylor expansion of 1.0 in x 3.333 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 3.333 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 3.333 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.333 * [taylor]: Taking taylor expansion of 1.0 in x 3.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.333 * [taylor]: Taking taylor expansion of x in x 3.334 * [taylor]: Taking taylor expansion of x in x 3.337 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.337 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.337 * [taylor]: Taking taylor expansion of x in x 3.338 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.339 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.339 * [taylor]: Taking taylor expansion of 1.0 in x 3.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.339 * [taylor]: Taking taylor expansion of x in x 3.343 * [taylor]: Taking taylor expansion of (sqrt (/ (- (+ (* 2 (/ 1 x)) 1.0) (sqrt (/ (+ 1.0 (/ 1 x)) x))) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.343 * [taylor]: Taking taylor expansion of (/ (- (+ (* 2 (/ 1 x)) 1.0) (sqrt (/ (+ 1.0 (/ 1 x)) x))) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.343 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 x)) 1.0) (sqrt (/ (+ 1.0 (/ 1 x)) x))) in x 3.343 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 x)) 1.0) in x 3.343 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 3.343 * [taylor]: Taking taylor expansion of 2 in x 3.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.343 * [taylor]: Taking taylor expansion of x in x 3.344 * [taylor]: Taking taylor expansion of 1.0 in x 3.344 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 3.344 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 3.344 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.344 * [taylor]: Taking taylor expansion of 1.0 in x 3.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.344 * [taylor]: Taking taylor expansion of x in x 3.344 * [taylor]: Taking taylor expansion of x in x 3.347 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.347 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.347 * [taylor]: Taking taylor expansion of x in x 3.349 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.349 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.349 * [taylor]: Taking taylor expansion of 1.0 in x 3.349 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.349 * [taylor]: Taking taylor expansion of x in x 3.383 * [approximate]: Taking taylor expansion of (sqrt (/ (- (+ (pow (sqrt (/ -1 x)) 2) 1.0) (+ (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (/ 1 x))) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in (x) around 0 3.383 * [taylor]: Taking taylor expansion of (sqrt (/ (- (+ (pow (sqrt (/ -1 x)) 2) 1.0) (+ (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (/ 1 x))) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.383 * [taylor]: Taking taylor expansion of (/ (- (+ (pow (sqrt (/ -1 x)) 2) 1.0) (+ (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (/ 1 x))) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.383 * [taylor]: Taking taylor expansion of (- (+ (pow (sqrt (/ -1 x)) 2) 1.0) (+ (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (/ 1 x))) in x 3.383 * [taylor]: Taking taylor expansion of (+ (pow (sqrt (/ -1 x)) 2) 1.0) in x 3.383 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 3.383 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.383 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.383 * [taylor]: Taking taylor expansion of -1 in x 3.383 * [taylor]: Taking taylor expansion of x in x 3.384 * [taylor]: Taking taylor expansion of 1.0 in x 3.384 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (/ 1 x)) in x 3.384 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 3.384 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.384 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.384 * [taylor]: Taking taylor expansion of 1.0 in x 3.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.384 * [taylor]: Taking taylor expansion of x in x 3.386 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.386 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.386 * [taylor]: Taking taylor expansion of -1 in x 3.386 * [taylor]: Taking taylor expansion of x in x 3.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.387 * [taylor]: Taking taylor expansion of x in x 3.388 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.388 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.388 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.388 * [taylor]: Taking taylor expansion of -1 in x 3.388 * [taylor]: Taking taylor expansion of x in x 3.389 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.389 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.389 * [taylor]: Taking taylor expansion of 1.0 in x 3.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.389 * [taylor]: Taking taylor expansion of x in x 3.394 * [taylor]: Taking taylor expansion of (sqrt (/ (- (+ (pow (sqrt (/ -1 x)) 2) 1.0) (+ (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (/ 1 x))) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.395 * [taylor]: Taking taylor expansion of (/ (- (+ (pow (sqrt (/ -1 x)) 2) 1.0) (+ (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (/ 1 x))) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.395 * [taylor]: Taking taylor expansion of (- (+ (pow (sqrt (/ -1 x)) 2) 1.0) (+ (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (/ 1 x))) in x 3.395 * [taylor]: Taking taylor expansion of (+ (pow (sqrt (/ -1 x)) 2) 1.0) in x 3.395 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 3.395 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.395 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.395 * [taylor]: Taking taylor expansion of -1 in x 3.395 * [taylor]: Taking taylor expansion of x in x 3.396 * [taylor]: Taking taylor expansion of 1.0 in x 3.396 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) (/ 1 x)) in x 3.396 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 3.396 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.396 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.396 * [taylor]: Taking taylor expansion of 1.0 in x 3.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.396 * [taylor]: Taking taylor expansion of x in x 3.398 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.398 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.398 * [taylor]: Taking taylor expansion of -1 in x 3.398 * [taylor]: Taking taylor expansion of x in x 3.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.405 * [taylor]: Taking taylor expansion of x in x 3.405 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.405 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.405 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.405 * [taylor]: Taking taylor expansion of -1 in x 3.406 * [taylor]: Taking taylor expansion of x in x 3.407 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.407 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.407 * [taylor]: Taking taylor expansion of 1.0 in x 3.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.407 * [taylor]: Taking taylor expansion of x in x 3.457 * * * [progress]: simplifying candidates 3.461 * [simplify]: Simplifying using # : (fma (sqrt x) (sqrt x) (- (* (sqrt x) (sqrt (+ x 1.0))))) (fma (- (sqrt x)) (sqrt (+ x 1.0)) (* (sqrt x) (sqrt (+ x 1.0)))) (expm1 (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (log1p (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt (+ x 1.0)) (sqrt x))) (/ (exp (* (sqrt x) (sqrt x))) (exp (* (sqrt (+ x 1.0)) (sqrt x)))) (log (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (exp (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (* (* (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (pow (* (sqrt x) (sqrt x)) 3) (pow (* (sqrt (+ x 1.0)) (sqrt x)) 3)) (+ (* (* (sqrt x) (sqrt x)) (* (sqrt x) (sqrt x))) (+ (* (* (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))) (* (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))))) (- (* (sqrt (+ x 1.0)) (sqrt x))) (- (* (* (sqrt x) (sqrt x)) (* (sqrt x) (sqrt x))) (* (* (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x) (sqrt (+ x 1.0))) (- (* (sqrt (+ x 1.0)) (sqrt x))) (expm1 (* (sqrt x) (sqrt x))) (log1p (* (sqrt x) (sqrt x))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* x x) (* (sqrt x) (sqrt x)) (* x x) (+ 1 1) (+ (log (sqrt x)) (log (sqrt x))) (log (* (sqrt x) (sqrt x))) (exp (* (sqrt x) (sqrt x))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* (sqrt x) (sqrt x))) (cbrt (* (sqrt x) (sqrt x)))) (cbrt (* (sqrt x) (sqrt x))) (* (* (* (sqrt x) (sqrt x)) (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x))) (* x x) (sqrt (* (sqrt x) (sqrt x))) (sqrt (* (sqrt x) (sqrt x))) (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt 1) (sqrt 1)) (* (sqrt x) (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* 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1 x)) (- +nan.0))))) 3.478 * * [simplify]: iteration 0 : 920 enodes (cost 4239 ) 3.496 * * [simplify]: iteration 1 : 4320 enodes (cost 3877 ) 3.572 * * [simplify]: iteration 2 : 5001 enodes (cost 3875 ) 3.592 * [simplify]: Simplified to: (- x (* (sqrt x) (sqrt (+ x 1.0)))) (* (sqrt (+ x 1.0)) (+ (- (sqrt x)) (sqrt x))) (expm1 (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (log1p (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt (+ x 1.0)) (sqrt x))) (exp (- x (* (sqrt x) (sqrt (+ x 1.0))))) (+ (log (sqrt x)) (log (- (sqrt x) (sqrt (+ x 1.0))))) (exp (- x (* (sqrt x) (sqrt (+ x 1.0))))) (* (cbrt (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (pow (* (sqrt x) (- (sqrt x) (sqrt (+ x 1.0)))) 3) (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (fma 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2)) (sqrt (/ 1 (pow (sqrt 1.0) 9))) (fma 0.25 (* x (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (* 0.03125 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 15)))))))) (- (* +nan.0 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (- (* +nan.0 (* x (sqrt (/ 1 (pow (sqrt 1.0) 5))))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7))))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 13))))) (fma +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 5)))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 11))))))))))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) 3.594 * * * [progress]: adding candidates to table 4.319 * [progress]: [Phase 3 of 3] Extracting. 4.319 * * [regime]: Finding splitpoints for: (# # # # # #) 4.322 * * * [regime-changes]: Trying 1 branch expressions: (x) 4.322 * * * * [regimes]: Trying to branch on x from (# # # # # #) 4.350 * * * [regime]: Found split indices: #