0.413 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.028 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.028 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.029 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.030 * * [simplify]: iteration done : 10 enodes (cost 7 ) 0.030 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.038 * * * [progress]: generating rewritten candidates 0.038 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.065 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.076 * * * [progress]: generating series expansions 0.077 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.077 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.077 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.077 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.077 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.080 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.105 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.106 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.106 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.106 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.106 * [taylor]: Taking taylor expansion of 1.0 in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.109 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.109 * [taylor]: Taking taylor expansion of 1.0 in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.128 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.128 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.128 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.130 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.130 * [taylor]: Taking taylor expansion of -1 in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.131 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.133 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.133 * [taylor]: Taking taylor expansion of -1 in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.151 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.151 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.151 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.153 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.153 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.170 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.170 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.170 * [taylor]: Taking taylor expansion of 1.0 in x 0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.171 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.179 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.180 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.180 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.180 * [taylor]: Taking taylor expansion of 1.0 in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.182 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of 1.0 in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.190 * * * [progress]: simplifying candidates 0.192 * [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)) (* 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2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.197 * * [simplify]: iteration 0 : 137 enodes (cost 1993 ) 0.221 * * [simplify]: iteration 1 : 301 enodes (cost 1467 ) 0.523 * * [simplify]: iteration 2 : 725 enodes (cost 1124 ) 0.946 * * [simplify]: iteration 3 : 2365 enodes (cost 950 ) 1.720 * * [simplify]: iteration done : 5000 enodes (cost 943 ) 1.721 * [simplify]: Simplified to: (- (pow (cbrt (sqrt (+ x 1.0))) 3) (sqrt x)) 0 (fma (- (fabs (cbrt x))) (sqrt (cbrt x)) (pow (cbrt (sqrt (+ x 1.0))) 3)) (* (- (fabs (cbrt x)) (fabs (cbrt x))) (sqrt (cbrt x))) (- (pow (cbrt (sqrt (+ x 1.0))) 3) (sqrt x)) 0 (- (pow (cbrt (sqrt (+ x 1.0))) 3) (sqrt x)) 0 (- (pow (cbrt (sqrt (+ x 1.0))) 3) (sqrt x)) 0 (- (pow (cbrt (sqrt (+ x 1.0))) 3) (sqrt x)) 0 (fma (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (- (sqrt x))) 0 (fma (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (* (- (sqrt (cbrt x))) (fabs (cbrt x)))) (* (- (fabs (cbrt x)) (fabs (cbrt x))) (sqrt (cbrt x))) (fma (fabs (cbrt (+ x 1.0))) 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0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (- (fabs (cbrt x)) (fabs (cbrt x))) (sqrt (cbrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (- (fabs (cbrt x)) (fabs (cbrt x))) (sqrt (cbrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (- (sqrt (+ x 1.0)) (sqrt x)) 0 (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)) (+ (+ x 1.0) (fma (sqrt (+ x 1.0)) (sqrt x) x)) (- (sqrt x)) (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))) (+ (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)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt (fma x x (* 1.0 (- 1.0 x)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (fma -1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0))) (* x (- +nan.0 (* +nan.0 x)))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (fma -1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)) (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) 1.722 * * * [progress]: adding candidates to table 1.864 * * [progress]: iteration 2 / 4 1.864 * * * [progress]: picking best candidate 1.874 * * * * [pick]: Picked # 1.874 * * * [progress]: localizing error 1.882 * * * [progress]: generating rewritten candidates 1.882 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 1.911 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 1.922 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 1.929 * * * [progress]: generating series expansions 1.929 * * * * [progress]: [ 1 / 3 ] generating series at (2) 1.930 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.930 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.930 * [taylor]: Taking taylor expansion of 1.0 in x 1.930 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.930 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.930 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.930 * [taylor]: Taking taylor expansion of x in x 1.930 * [taylor]: Taking taylor expansion of 1.0 in x 1.932 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.935 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.935 * [taylor]: Taking taylor expansion of 1.0 in x 1.935 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.935 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.935 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.935 * [taylor]: Taking taylor expansion of x in x 1.935 * [taylor]: Taking taylor expansion of 1.0 in x 1.937 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.937 * [taylor]: Taking taylor expansion of x in x 2.023 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.023 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.023 * [taylor]: Taking taylor expansion of 1.0 in x 2.023 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.023 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.023 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.023 * [taylor]: Taking taylor expansion of x in x 2.025 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.025 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.025 * [taylor]: Taking taylor expansion of 1.0 in x 2.025 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.025 * [taylor]: Taking taylor expansion of x in x 2.028 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.028 * [taylor]: Taking taylor expansion of 1.0 in x 2.028 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.028 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.028 * [taylor]: Taking taylor expansion of x in x 2.029 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.029 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.029 * [taylor]: Taking taylor expansion of 1.0 in x 2.029 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.029 * [taylor]: Taking taylor expansion of x in x 2.052 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in (x) around 0 2.052 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 2.052 * [taylor]: Taking taylor expansion of 1.0 in x 2.052 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.052 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.052 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.052 * [taylor]: Taking taylor expansion of 1.0 in x 2.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.052 * [taylor]: Taking taylor expansion of x in x 2.054 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.054 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.054 * [taylor]: Taking taylor expansion of -1 in x 2.054 * [taylor]: Taking taylor expansion of x in x 2.056 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 2.056 * [taylor]: Taking taylor expansion of 1.0 in x 2.056 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.056 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.056 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.056 * [taylor]: Taking taylor expansion of 1.0 in x 2.056 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.056 * [taylor]: Taking taylor expansion of x in x 2.061 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.061 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.061 * [taylor]: Taking taylor expansion of -1 in x 2.061 * [taylor]: Taking taylor expansion of x in x 2.083 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 2.084 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 2.084 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.084 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.084 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.084 * [taylor]: Taking taylor expansion of x in x 2.084 * [taylor]: Taking taylor expansion of 1.0 in x 2.086 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.086 * [taylor]: Taking taylor expansion of x in x 2.087 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.087 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.087 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.087 * [taylor]: Taking taylor expansion of x in x 2.087 * [taylor]: Taking taylor expansion of 1.0 in x 2.089 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.089 * [taylor]: Taking taylor expansion of x in x 2.110 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 2.110 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.110 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.110 * [taylor]: Taking taylor expansion of x in x 2.111 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.111 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.111 * [taylor]: Taking taylor expansion of 1.0 in x 2.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.111 * [taylor]: Taking taylor expansion of x in x 2.113 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.113 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.113 * [taylor]: Taking taylor expansion of x in x 2.114 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.115 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.115 * [taylor]: Taking taylor expansion of 1.0 in x 2.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.115 * [taylor]: Taking taylor expansion of x in x 2.130 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 2.130 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.130 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.130 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.130 * [taylor]: Taking taylor expansion of 1.0 in x 2.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.130 * [taylor]: Taking taylor expansion of x in x 2.132 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.132 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.132 * [taylor]: Taking taylor expansion of -1 in x 2.132 * [taylor]: Taking taylor expansion of x in x 2.134 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.134 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.134 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.134 * [taylor]: Taking taylor expansion of 1.0 in x 2.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.134 * [taylor]: Taking taylor expansion of x in x 2.136 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.136 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.136 * [taylor]: Taking taylor expansion of -1 in x 2.136 * [taylor]: Taking taylor expansion of x in x 2.155 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 2.156 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 2.156 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.156 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.156 * [taylor]: Taking taylor expansion of x in x 2.156 * [taylor]: Taking taylor expansion of 1.0 in x 2.158 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.158 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.158 * [taylor]: Taking taylor expansion of x in x 2.158 * [taylor]: Taking taylor expansion of 1.0 in x 2.168 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 2.168 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.168 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.168 * [taylor]: Taking taylor expansion of 1.0 in x 2.168 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.168 * [taylor]: Taking taylor expansion of x in x 2.169 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.169 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.169 * [taylor]: Taking taylor expansion of 1.0 in x 2.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.169 * [taylor]: Taking taylor expansion of x in x 2.177 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 2.177 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.177 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.177 * [taylor]: Taking taylor expansion of 1.0 in x 2.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.177 * [taylor]: Taking taylor expansion of x in x 2.179 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.179 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.179 * [taylor]: Taking taylor expansion of 1.0 in x 2.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.179 * [taylor]: Taking taylor expansion of x in x 2.188 * * * [progress]: simplifying candidates 2.189 * [simplify]: Simplifying using # : (expm1 (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))))) (log1p (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))))) (- (log (+ 1.0 0)) (log (+ (sqrt x) (sqrt (+ x 1.0))))) (log (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))))) (exp (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (+ (sqrt x) (sqrt (+ x 1.0))) (+ (sqrt x) (sqrt (+ x 1.0)))) (+ (sqrt x) (sqrt (+ x 1.0))))) (* (cbrt (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))))) (cbrt (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0)))))) (cbrt (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))))) (* (* (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0))))) (- (+ 1.0 0)) (- (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (sqrt (+ 1.0 0)) (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (/ (sqrt (+ 1.0 0)) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (/ (+ 1.0 0) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (+ 1.0 0) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (/ (+ 1.0 0) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (+ 1.0 0) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (+ (sqrt x) (sqrt (+ x 1.0))) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (/ (+ 1.0 0) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (+ 1.0 0) 1) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) 1) (/ (+ (sqrt x) (sqrt (+ x 1.0))) (cbrt (+ 1.0 0))) (/ (+ (sqrt x) (sqrt (+ x 1.0))) (sqrt (+ 1.0 0))) (/ (+ (sqrt x) (sqrt (+ x 1.0))) (+ 1.0 0)) (/ (+ (sqrt x) (sqrt (+ x 1.0))) (+ 1.0 0)) (/ (+ 1.0 0) (+ (pow (sqrt x) 3) (pow (sqrt (+ x 1.0)) 3))) (/ (+ 1.0 0) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))) (* (+ (sqrt x) (sqrt (+ x 1.0))) (+ (* 1.0 1.0) (- (* 0 0) (* 1.0 0)))) (* (+ (sqrt x) (sqrt (+ x 1.0))) (- 1.0 0)) (expm1 (+ (sqrt x) (sqrt (+ x 1.0)))) (log1p (+ (sqrt x) (sqrt (+ x 1.0)))) (* (exp (sqrt x)) (exp (sqrt (+ x 1.0)))) (log (+ (sqrt x) (sqrt (+ x 1.0)))) (exp (+ (sqrt x) (sqrt (+ x 1.0)))) (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (cbrt (+ (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 (+ (sqrt x) (sqrt (+ x 1.0)))) (sqrt (+ (sqrt x) (sqrt (+ x 1.0)))) (+ (pow (sqrt x) 3) (pow (sqrt (+ x 1.0)) 3)) (+ (* (sqrt x) (sqrt x)) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt (+ x 1.0))))) (- (* (sqrt x) (sqrt x)) (* (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) (sqrt (+ x 1.0))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (* 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))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (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))))) 2.194 * * [simplify]: iteration 0 : 169 enodes (cost 1453 ) 2.241 * * [simplify]: iteration 1 : 411 enodes (cost 1200 ) 2.387 * * [simplify]: iteration 2 : 1105 enodes (cost 1098 ) 3.050 * * [simplify]: iteration 3 : 3707 enodes (cost 1079 ) 4.169 * * [simplify]: iteration done : 5001 enodes (cost 1079 ) 4.170 * [simplify]: Simplified to: (expm1 (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (log1p (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (log (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (log (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (exp (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (pow (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) 3) (* (cbrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (cbrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))))) (cbrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (pow (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) 3) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (- 1.0) (- (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (/ (cbrt 1.0) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (cbrt 1.0) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (/ (sqrt 1.0) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (sqrt 1.0) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (sqrt 1.0) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ (sqrt 1.0) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (/ 1.0 (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ 1.0 (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) 1 (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 1) (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 1) (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) 1 (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (/ 1.0 (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ 1 (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (/ 1.0 (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) 1 (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 1) (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 1) (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) 1 (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1 (+ (sqrt x) (sqrt (+ x 1.0)))) (/ (+ (sqrt x) (sqrt (+ x 1.0))) 1.0) (/ 1.0 (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (/ 1.0 (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) 1.0 1.0 1.0 1.0 (/ (+ (sqrt x) (sqrt (+ x 1.0))) (cbrt 1.0)) (/ (+ (sqrt x) (sqrt (+ x 1.0))) (sqrt 1.0)) (/ (+ (sqrt x) (sqrt (+ x 1.0))) 1.0) (/ (+ (sqrt x) (sqrt (+ x 1.0))) 1.0) (/ 1.0 (fma (sqrt x) x (pow (sqrt (+ x 1.0)) 3))) (/ 1.0 (- 1.0)) (* (* 1.0 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))) (* (+ (sqrt x) (sqrt (+ x 1.0))) 1.0) (expm1 (+ (sqrt x) (sqrt (+ x 1.0)))) (log1p (+ (sqrt x) (sqrt (+ x 1.0)))) (exp (+ (sqrt x) (sqrt (+ x 1.0)))) (log (+ (sqrt x) (sqrt (+ x 1.0)))) (exp (+ (sqrt x) (sqrt (+ x 1.0)))) (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (pow (+ (sqrt x) (sqrt (+ x 1.0))) 3) (sqrt (+ (sqrt x) (sqrt (+ x 1.0)))) (sqrt (+ (sqrt x) (sqrt (+ x 1.0)))) (fma (sqrt x) x (pow (sqrt (+ x 1.0)) 3)) (+ (- (+ x 1.0) (* (sqrt x) (sqrt (+ x 1.0)))) x) (- 1.0) (- (sqrt x) (sqrt (+ x 1.0))) (+ (sqrt x) (sqrt (+ x 1.0))) (+ (sqrt x) (sqrt (+ x 1.0))) (+ (sqrt x) (sqrt (+ x 1.0))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (hypot (pow x 3/2) (pow 1.0 3/2)) (sqrt (fma x x (* 1.0 (- 1.0 x)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (- (fma 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)) (/ 1.0 (sqrt 1.0))) (fma +nan.0 (/ (* x x) 1.0) (* 0.5 (/ x (pow (sqrt 1.0) 3))))) (* (/ (* x x) 1.0) (+ (/ +nan.0 (sqrt 1.0)) (/ +nan.0 1.0)))) (* +nan.0 (/ x 1.0))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (+ (fma (/ (pow x 2) (pow (sqrt 1.0) 3)) -1/8 (fma (/ x (sqrt 1.0)) 1/2 (sqrt 1.0))) (* x (- +nan.0 (* +nan.0 x)))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (fma (/ (pow x 2) (pow (sqrt 1.0) 3)) -1/8 (fma (/ x (sqrt 1.0)) 1/2 (sqrt 1.0))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) 4.171 * * * [progress]: adding candidates to table 4.388 * * [progress]: iteration 3 / 4 4.388 * * * [progress]: picking best candidate 4.405 * * * * [pick]: Picked # 4.405 * * * [progress]: localizing error 4.415 * * * [progress]: generating rewritten candidates 4.415 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 4.431 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 4.436 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2 1) 4.442 * * * [progress]: generating series expansions 4.442 * * * * [progress]: [ 1 / 3 ] generating series at (2) 4.443 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (fabs (sqrt (+ x 1.0))) (sqrt x))) in (x) around 0 4.443 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (fabs (sqrt (+ x 1.0))) (sqrt x))) in x 4.443 * [taylor]: Taking taylor expansion of 1.0 in x 4.443 * [taylor]: Taking taylor expansion of (+ (fabs (sqrt (+ x 1.0))) (sqrt x)) in x 4.443 * [taylor]: Taking taylor expansion of (fabs (sqrt (+ x 1.0))) in x 4.444 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.444 * [taylor]: Taking taylor expansion of x in x 4.445 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (fabs (sqrt (+ x 1.0))) (sqrt x))) in x 4.445 * [taylor]: Taking taylor expansion of 1.0 in x 4.445 * [taylor]: Taking taylor expansion of (+ (fabs (sqrt (+ x 1.0))) (sqrt x)) in x 4.445 * [taylor]: Taking taylor expansion of (fabs (sqrt (+ x 1.0))) in x 4.445 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.445 * [taylor]: Taking taylor expansion of x in x 4.453 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (fabs (sqrt (+ 1.0 (/ 1 x)))))) in (x) around 0 4.453 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (fabs (sqrt (+ 1.0 (/ 1 x)))))) in x 4.453 * [taylor]: Taking taylor expansion of 1.0 in x 4.453 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (fabs (sqrt (+ 1.0 (/ 1 x))))) in x 4.453 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.453 * [taylor]: Taking taylor expansion of x in x 4.454 * [taylor]: Taking taylor expansion of (fabs (sqrt (+ 1.0 (/ 1 x)))) in x 4.455 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (fabs (sqrt (+ 1.0 (/ 1 x)))))) in x 4.455 * [taylor]: Taking taylor expansion of 1.0 in x 4.455 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (fabs (sqrt (+ 1.0 (/ 1 x))))) in x 4.455 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.455 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.455 * [taylor]: Taking taylor expansion of x in x 4.457 * [taylor]: Taking taylor expansion of (fabs (sqrt (+ 1.0 (/ 1 x)))) in x 4.468 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (fabs (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) in (x) around 0 4.468 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (fabs (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) in x 4.468 * [taylor]: Taking taylor expansion of 1.0 in x 4.468 * [taylor]: Taking taylor expansion of (+ (fabs (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 4.468 * [taylor]: Taking taylor expansion of (fabs (sqrt (- 1.0 (/ 1 x)))) in x 4.468 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.468 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.468 * [taylor]: Taking taylor expansion of -1 in x 4.468 * [taylor]: Taking taylor expansion of x in x 4.470 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (fabs (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) in x 4.470 * [taylor]: Taking taylor expansion of 1.0 in x 4.470 * [taylor]: Taking taylor expansion of (+ (fabs (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 4.470 * [taylor]: Taking taylor expansion of (fabs (sqrt (- 1.0 (/ 1 x)))) in x 4.470 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.470 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.470 * [taylor]: Taking taylor expansion of -1 in x 4.470 * [taylor]: Taking taylor expansion of x in x 4.482 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 4.482 * [approximate]: Taking taylor expansion of (+ (fabs (sqrt (+ x 1.0))) (sqrt x)) in (x) around 0 4.482 * [taylor]: Taking taylor expansion of (+ (fabs (sqrt (+ x 1.0))) (sqrt x)) in x 4.482 * [taylor]: Taking taylor expansion of (fabs (sqrt (+ x 1.0))) in x 4.482 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.482 * [taylor]: Taking taylor expansion of x in x 4.483 * [taylor]: Taking taylor expansion of (+ (fabs (sqrt (+ x 1.0))) (sqrt x)) in x 4.484 * [taylor]: Taking taylor expansion of (fabs (sqrt (+ x 1.0))) in x 4.484 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.484 * [taylor]: Taking taylor expansion of x in x 4.489 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (fabs (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 4.489 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (fabs (sqrt (+ 1.0 (/ 1 x))))) in x 4.489 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.489 * [taylor]: Taking taylor expansion of x in x 4.491 * [taylor]: Taking taylor expansion of (fabs (sqrt (+ 1.0 (/ 1 x)))) in x 4.491 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (fabs (sqrt (+ 1.0 (/ 1 x))))) in x 4.491 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.491 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.491 * [taylor]: Taking taylor expansion of x in x 4.492 * [taylor]: Taking taylor expansion of (fabs (sqrt (+ 1.0 (/ 1 x)))) in x 4.500 * [approximate]: Taking taylor expansion of (+ (fabs (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 4.500 * [taylor]: Taking taylor expansion of (+ (fabs (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 4.500 * [taylor]: Taking taylor expansion of (fabs (sqrt (- 1.0 (/ 1 x)))) in x 4.501 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.501 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.501 * [taylor]: Taking taylor expansion of -1 in x 4.501 * [taylor]: Taking taylor expansion of x in x 4.502 * [taylor]: Taking taylor expansion of (+ (fabs (sqrt (- 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 4.502 * [taylor]: Taking taylor expansion of (fabs (sqrt (- 1.0 (/ 1 x)))) in x 4.502 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.502 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.502 * [taylor]: Taking taylor expansion of -1 in x 4.502 * [taylor]: Taking taylor expansion of x in x 4.512 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2 1) 4.512 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 4.512 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.512 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.512 * [taylor]: Taking taylor expansion of x in x 4.512 * [taylor]: Taking taylor expansion of 1.0 in x 4.514 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.514 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.514 * [taylor]: Taking taylor expansion of x in x 4.514 * [taylor]: Taking taylor expansion of 1.0 in x 4.528 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 4.528 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.528 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.528 * [taylor]: Taking taylor expansion of 1.0 in x 4.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.528 * [taylor]: Taking taylor expansion of x in x 4.530 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.530 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.530 * [taylor]: Taking taylor expansion of 1.0 in x 4.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.530 * [taylor]: Taking taylor expansion of x in x 4.538 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 4.538 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.538 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.538 * [taylor]: Taking taylor expansion of 1.0 in x 4.538 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.538 * [taylor]: Taking taylor expansion of x in x 4.540 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.540 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.540 * [taylor]: Taking taylor expansion of 1.0 in x 4.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.540 * [taylor]: Taking taylor expansion of x in x 4.549 * * * [progress]: simplifying candidates 4.550 * [simplify]: Simplifying using # : (expm1 (/ (+ 1.0 0) (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (log1p (/ (+ 1.0 0) (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (- (log (+ 1.0 0)) (log (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (log (/ (+ 1.0 0) (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (exp (/ (+ 1.0 0) (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (+ (sqrt x) (fabs (sqrt (+ x 1.0)))) (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (* (cbrt (/ (+ 1.0 0) (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (cbrt (/ (+ 1.0 0) (+ (sqrt x) (fabs (sqrt (+ x 1.0))))))) (cbrt (/ (+ 1.0 0) (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (* (* (/ (+ 1.0 0) (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (/ (+ 1.0 0) (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (/ (+ 1.0 0) (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (sqrt (/ (+ 1.0 0) (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (sqrt (/ (+ 1.0 0) (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (- (+ 1.0 0)) (- (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (cbrt (+ (sqrt x) (fabs (sqrt (+ x 1.0))))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (/ (sqrt (+ 1.0 0)) (* (cbrt (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (cbrt (+ (sqrt x) (fabs (sqrt (+ x 1.0))))))) (/ (sqrt (+ 1.0 0)) (cbrt (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (/ 1 (* (cbrt (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (cbrt (+ (sqrt x) (fabs (sqrt (+ x 1.0))))))) (/ (+ 1.0 0) (cbrt (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (/ 1 (sqrt (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (/ (+ 1.0 0) (sqrt (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (/ 1 (* (cbrt (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (cbrt (+ (sqrt x) (fabs (sqrt (+ x 1.0))))))) (/ (+ 1.0 0) (cbrt (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (/ 1 (sqrt (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (/ (+ 1.0 0) (sqrt (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (/ 1 (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (/ (+ (sqrt x) (fabs (sqrt (+ x 1.0)))) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (cbrt (+ (sqrt x) (fabs (sqrt (+ x 1.0))))))) (/ (+ 1.0 0) (sqrt (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (/ (+ 1.0 0) 1) (/ (+ 1.0 0) 1) (/ (+ (sqrt x) (fabs (sqrt (+ x 1.0)))) (cbrt (+ 1.0 0))) (/ (+ (sqrt x) (fabs (sqrt (+ x 1.0)))) (sqrt (+ 1.0 0))) (/ (+ (sqrt x) (fabs (sqrt (+ x 1.0)))) (+ 1.0 0)) (/ (+ (sqrt x) (fabs (sqrt (+ x 1.0)))) (+ 1.0 0)) (/ (+ 1.0 0) (+ (pow (sqrt x) 3) (pow (fabs (sqrt (+ x 1.0))) 3))) (/ (+ 1.0 0) (- (* (sqrt x) (sqrt x)) (* (fabs (sqrt (+ x 1.0))) (fabs (sqrt (+ x 1.0)))))) (* (+ (sqrt x) (fabs (sqrt (+ x 1.0)))) (+ (* 1.0 1.0) (- (* 0 0) (* 1.0 0)))) (* (+ (sqrt x) (fabs (sqrt (+ x 1.0)))) (- 1.0 0)) (expm1 (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (log1p (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (* (exp (sqrt x)) (exp (fabs (sqrt (+ x 1.0))))) (log (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (exp (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (* (cbrt (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (cbrt (+ (sqrt x) (fabs (sqrt (+ x 1.0)))))) (cbrt (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (* (* (+ (sqrt x) (fabs (sqrt (+ x 1.0)))) (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (sqrt (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (sqrt (+ (sqrt x) (fabs (sqrt (+ x 1.0))))) (+ (pow (sqrt x) 3) (pow (fabs (sqrt (+ x 1.0))) 3)) (+ (* (sqrt x) (sqrt x)) (- (* (fabs (sqrt (+ x 1.0))) (fabs (sqrt (+ x 1.0)))) (* (sqrt x) (fabs (sqrt (+ x 1.0)))))) (- (* (sqrt x) (sqrt x)) (* (fabs (sqrt (+ x 1.0))) (fabs (sqrt (+ x 1.0))))) (- (sqrt x) (fabs (sqrt (+ x 1.0)))) (+ (sqrt x) (fabs (sqrt (+ x 1.0)))) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* 1.0 (/ 1 (fabs (sqrt (+ x 1.0))))) (+ (* +nan.0 (/ (pow x 2) (pow (fabs (sqrt (+ x 1.0))) 3))) (- (+ (* +nan.0 (/ x (pow (fabs (sqrt (+ x 1.0))) 2))) (- (* +nan.0 (/ (pow x 2) (pow (fabs (sqrt (+ x 1.0))) 2)))))))) (- (* 1.0 (/ 1 (- (fabs (sqrt (+ x 1.0))) +nan.0))) (+ (* +nan.0 (/ 1 (* (pow (- (fabs (sqrt (+ x 1.0))) +nan.0) 2) x))) (- (+ (* +nan.0 (/ 1 (* (pow (- (fabs (sqrt (+ x 1.0))) +nan.0) 2) (pow x 2)))) (- (* +nan.0 (/ 1 (* (pow (- (fabs (sqrt (+ x 1.0))) +nan.0) 3) (pow x 2))))))))) (- (* 1.0 (/ 1 (- (fabs (sqrt (+ x 1.0))) +nan.0))) (+ (* +nan.0 (/ 1 (* (pow (- (fabs (sqrt (+ x 1.0))) +nan.0) 2) x))) (- (+ (* +nan.0 (/ 1 (* (pow (- (fabs (sqrt (+ x 1.0))) +nan.0) 2) (pow x 2)))) (- (* +nan.0 (/ 1 (* (pow (- (fabs (sqrt (+ x 1.0))) +nan.0) 3) (pow x 2))))))))) (- (fabs (sqrt (+ x 1.0))) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 x)))) (- (fabs (sqrt (+ x 1.0))) (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (fabs (sqrt (+ x 1.0))) (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (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))))) 4.555 * * [simplify]: iteration 0 : 174 enodes (cost 1432 ) 4.603 * * [simplify]: iteration 1 : 430 enodes (cost 1229 ) 4.768 * * [simplify]: iteration 2 : 1191 enodes (cost 1030 ) 5.555 * * [simplify]: iteration 3 : 4178 enodes (cost 1009 ) 6.857 * * [simplify]: iteration done : 5000 enodes (cost 1009 ) 6.858 * [simplify]: Simplified to: (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (* (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) (- 1.0) (- (- (sqrt x)) (sqrt (+ x 1.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (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))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 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 (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1.0 1.0 (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) 1.0) (/ 1.0 (fma x (sqrt x) (pow (sqrt (+ x 1.0)) 3))) (/ 1.0 (- x (+ x 1.0))) (* (* 1.0 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (* 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)) (fma (sqrt (+ x 1.0)) (- (sqrt (+ x 1.0)) (sqrt x)) x) (- x (+ x 1.0)) (- (sqrt x) (sqrt (+ x 1.0))) (+ (sqrt (+ x 1.0)) (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt (fma x x (* 1.0 (- 1.0 x)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (/ 1.0 (sqrt (+ x 1.0))) (fma (- +nan.0) (/ x (+ x 1.0)) (* (/ (* x x) (+ x 1.0)) (+ +nan.0 (/ +nan.0 (sqrt (+ x 1.0))))))) (- (- (/ 1.0 (- (sqrt (+ x 1.0)) +nan.0)) (* (/ 1 (pow (- (sqrt (+ x 1.0)) +nan.0) 2)) (- (/ +nan.0 x) (/ +nan.0 (* x x))))) (/ (/ +nan.0 (pow (- (sqrt (+ x 1.0)) +nan.0) 3)) (* x x))) (- (- (/ 1.0 (- (sqrt (+ x 1.0)) +nan.0)) (* (/ 1 (pow (- (sqrt (+ x 1.0)) +nan.0) 2)) (- (/ +nan.0 x) (/ +nan.0 (* x x))))) (/ (/ +nan.0 (pow (- (sqrt (+ x 1.0)) +nan.0) 3)) (* x x))) (- (sqrt (+ x 1.0)) (* +nan.0 (- (* x x) x))) (+ (- (sqrt (+ x 1.0)) (/ +nan.0 (* x x))) (- (/ +nan.0 x) +nan.0)) (+ (- (sqrt (+ x 1.0)) (/ +nan.0 (* x x))) (- (/ +nan.0 x) +nan.0)) (fma (/ (pow x 2) (pow (sqrt 1.0) 3)) -1/8 (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) 6.859 * * * [progress]: adding candidates to table 7.085 * * [progress]: iteration 4 / 4 7.085 * * * [progress]: picking best candidate 7.102 * * * * [pick]: Picked # 7.102 * * * [progress]: localizing error 7.111 * * * [progress]: generating rewritten candidates 7.111 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 7.223 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 7.244 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 7.264 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 7.304 * * * [progress]: generating series expansions 7.304 * * * * [progress]: [ 1 / 4 ] generating series at (2) 7.305 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 7.305 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 7.305 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 7.305 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 7.305 * [taylor]: Taking taylor expansion of 1.0 in x 7.306 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 7.306 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 7.306 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 7.306 * [taylor]: Taking taylor expansion of x in x 7.306 * [taylor]: Taking taylor expansion of 1.0 in x 7.308 * [taylor]: Taking taylor expansion of (sqrt x) in x 7.308 * [taylor]: Taking taylor expansion of x in x 7.312 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 7.312 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 7.312 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 7.312 * [taylor]: Taking taylor expansion of 1.0 in x 7.313 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 7.313 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 7.313 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 7.313 * [taylor]: Taking taylor expansion of x in x 7.313 * [taylor]: Taking taylor expansion of 1.0 in x 7.315 * [taylor]: Taking taylor expansion of (sqrt x) in x 7.315 * [taylor]: Taking taylor expansion of x in x 7.383 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 7.383 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 7.384 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 7.384 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 7.384 * [taylor]: Taking taylor expansion of 1.0 in x 7.384 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 7.384 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 7.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.384 * [taylor]: Taking taylor expansion of x in x 7.386 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 7.386 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 7.386 * [taylor]: Taking taylor expansion of 1.0 in x 7.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.386 * [taylor]: Taking taylor expansion of x in x 7.390 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 7.390 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 7.390 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 7.390 * [taylor]: Taking taylor expansion of 1.0 in x 7.391 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 7.391 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 7.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.391 * [taylor]: Taking taylor expansion of x in x 7.393 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 7.393 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 7.393 * [taylor]: Taking taylor expansion of 1.0 in x 7.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.393 * [taylor]: Taking taylor expansion of x in x 7.432 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in (x) around 0 7.432 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 7.432 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 7.432 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 7.432 * [taylor]: Taking taylor expansion of 1.0 in x 7.433 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 7.433 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 7.433 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 7.433 * [taylor]: Taking taylor expansion of 1.0 in x 7.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.433 * [taylor]: Taking taylor expansion of x in x 7.435 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.435 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.435 * [taylor]: Taking taylor expansion of -1 in x 7.435 * [taylor]: Taking taylor expansion of x in x 7.439 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 7.439 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 7.439 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 7.440 * [taylor]: Taking taylor expansion of 1.0 in x 7.440 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 7.440 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 7.440 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 7.440 * [taylor]: Taking taylor expansion of 1.0 in x 7.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.440 * [taylor]: Taking taylor expansion of x in x 7.442 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.442 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.442 * [taylor]: Taking taylor expansion of -1 in x 7.442 * [taylor]: Taking taylor expansion of x in x 7.485 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 7.486 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 7.486 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 7.486 * [taylor]: Taking taylor expansion of 1.0 in x 7.486 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 7.486 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 7.486 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 7.486 * [taylor]: Taking taylor expansion of x in x 7.486 * [taylor]: Taking taylor expansion of 1.0 in x 7.488 * [taylor]: Taking taylor expansion of (sqrt x) in x 7.488 * [taylor]: Taking taylor expansion of x in x 7.490 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 7.490 * [taylor]: Taking taylor expansion of 1.0 in x 7.490 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 7.490 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 7.490 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 7.490 * [taylor]: Taking taylor expansion of x in x 7.490 * [taylor]: Taking taylor expansion of 1.0 in x 7.492 * [taylor]: Taking taylor expansion of (sqrt x) in x 7.492 * [taylor]: Taking taylor expansion of x in x 7.576 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 7.576 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 7.576 * [taylor]: Taking taylor expansion of 1.0 in x 7.576 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 7.576 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 7.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.577 * [taylor]: Taking taylor expansion of x in x 7.578 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 7.578 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 7.578 * [taylor]: Taking taylor expansion of 1.0 in x 7.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.578 * [taylor]: Taking taylor expansion of x in x 7.581 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 7.581 * [taylor]: Taking taylor expansion of 1.0 in x 7.581 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 7.581 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 7.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.581 * [taylor]: Taking taylor expansion of x in x 7.583 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 7.583 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 7.583 * [taylor]: Taking taylor expansion of 1.0 in x 7.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.583 * [taylor]: Taking taylor expansion of x in x 7.605 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in (x) around 0 7.605 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 7.605 * [taylor]: Taking taylor expansion of 1.0 in x 7.605 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 7.605 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 7.605 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 7.605 * [taylor]: Taking taylor expansion of 1.0 in x 7.605 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.605 * [taylor]: Taking taylor expansion of x in x 7.607 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.607 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.607 * [taylor]: Taking taylor expansion of -1 in x 7.607 * [taylor]: Taking taylor expansion of x in x 7.609 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 7.609 * [taylor]: Taking taylor expansion of 1.0 in x 7.609 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 7.610 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 7.610 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 7.610 * [taylor]: Taking taylor expansion of 1.0 in x 7.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.610 * [taylor]: Taking taylor expansion of x in x 7.611 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.611 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.611 * [taylor]: Taking taylor expansion of -1 in x 7.611 * [taylor]: Taking taylor expansion of x in x 7.641 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 7.641 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 7.641 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 7.641 * [taylor]: Taking taylor expansion of 1.0 in x 7.641 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 7.641 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 7.641 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 7.641 * [taylor]: Taking taylor expansion of x in x 7.641 * [taylor]: Taking taylor expansion of 1.0 in x 7.643 * [taylor]: Taking taylor expansion of (sqrt x) in x 7.643 * [taylor]: Taking taylor expansion of x in x 7.646 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 7.646 * [taylor]: Taking taylor expansion of 1.0 in x 7.646 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 7.646 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 7.646 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 7.646 * [taylor]: Taking taylor expansion of x in x 7.646 * [taylor]: Taking taylor expansion of 1.0 in x 7.648 * [taylor]: Taking taylor expansion of (sqrt x) in x 7.648 * [taylor]: Taking taylor expansion of x in x 7.737 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 7.737 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 7.737 * [taylor]: Taking taylor expansion of 1.0 in x 7.737 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 7.737 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 7.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.738 * [taylor]: Taking taylor expansion of x in x 7.739 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 7.739 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 7.739 * [taylor]: Taking taylor expansion of 1.0 in x 7.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.739 * [taylor]: Taking taylor expansion of x in x 7.742 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 7.742 * [taylor]: Taking taylor expansion of 1.0 in x 7.742 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 7.742 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 7.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.742 * [taylor]: Taking taylor expansion of x in x 7.744 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 7.744 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 7.744 * [taylor]: Taking taylor expansion of 1.0 in x 7.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.744 * [taylor]: Taking taylor expansion of x in x 7.765 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in (x) around 0 7.765 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 7.765 * [taylor]: Taking taylor expansion of 1.0 in x 7.765 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 7.765 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 7.765 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 7.765 * [taylor]: Taking taylor expansion of 1.0 in x 7.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.765 * [taylor]: Taking taylor expansion of x in x 7.768 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.768 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.768 * [taylor]: Taking taylor expansion of -1 in x 7.768 * [taylor]: Taking taylor expansion of x in x 7.770 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 7.770 * [taylor]: Taking taylor expansion of 1.0 in x 7.770 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 7.770 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 7.770 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 7.770 * [taylor]: Taking taylor expansion of 1.0 in x 7.770 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.770 * [taylor]: Taking taylor expansion of x in x 7.772 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.772 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.772 * [taylor]: Taking taylor expansion of -1 in x 7.772 * [taylor]: Taking taylor expansion of x in x 7.794 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 7.795 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in (x) around 0 7.795 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 7.795 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 7.795 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 7.795 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 7.795 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 7.795 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 7.795 * [taylor]: Taking taylor expansion of x in x 7.795 * [taylor]: Taking taylor expansion of 1.0 in x 7.797 * [taylor]: Taking taylor expansion of (sqrt x) in x 7.797 * [taylor]: Taking taylor expansion of x in x 7.822 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 7.822 * [taylor]: Taking taylor expansion of 1.0 in x 7.823 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 7.823 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 7.823 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 7.823 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 7.823 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 7.823 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 7.823 * [taylor]: Taking taylor expansion of x in x 7.823 * [taylor]: Taking taylor expansion of 1.0 in x 7.825 * [taylor]: Taking taylor expansion of (sqrt x) in x 7.825 * [taylor]: Taking taylor expansion of x in x 7.844 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 7.844 * [taylor]: Taking taylor expansion of 1.0 in x 8.020 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 8.021 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 8.021 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 8.021 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 8.021 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 8.021 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 8.021 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.021 * [taylor]: Taking taylor expansion of x in x 8.022 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 8.022 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 8.022 * [taylor]: Taking taylor expansion of 1.0 in x 8.022 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.022 * [taylor]: Taking taylor expansion of x in x 8.034 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 8.034 * [taylor]: Taking taylor expansion of 1.0 in x 8.034 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 8.034 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 8.034 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 8.034 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 8.034 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 8.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.034 * [taylor]: Taking taylor expansion of x in x 8.036 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 8.036 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 8.036 * [taylor]: Taking taylor expansion of 1.0 in x 8.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.036 * [taylor]: Taking taylor expansion of x in x 8.047 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 8.047 * [taylor]: Taking taylor expansion of 1.0 in x 8.101 * [approximate]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))))) in (x) around 0 8.101 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))))) in x 8.101 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 8.101 * [taylor]: Taking taylor expansion of 1.0 in x 8.102 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))))) in x 8.102 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 8.102 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 8.102 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 8.102 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 8.102 * [taylor]: Taking taylor expansion of 1.0 in x 8.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.102 * [taylor]: Taking taylor expansion of x in x 8.104 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 8.104 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.104 * [taylor]: Taking taylor expansion of -1 in x 8.104 * [taylor]: Taking taylor expansion of x in x 8.116 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))))) in x 8.116 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 8.116 * [taylor]: Taking taylor expansion of 1.0 in x 8.116 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))))) in x 8.117 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 8.117 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 8.117 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 8.117 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 8.117 * [taylor]: Taking taylor expansion of 1.0 in x 8.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.117 * [taylor]: Taking taylor expansion of x in x 8.118 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 8.119 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.119 * [taylor]: Taking taylor expansion of -1 in x 8.119 * [taylor]: Taking taylor expansion of x in x 8.181 * * * [progress]: simplifying candidates 8.186 * [simplify]: Simplifying using # : (expm1 (* (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))))) (log1p (* (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (* (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))))) (* (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (+ 1 1) (+ (log (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))))) (log (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))))) (log (* (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))))) (exp (* (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))))) (* (* (* (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))))) (* (* (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))))) (* (cbrt (* (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))))) (cbrt (* (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))))))) (cbrt (* (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))))) (* (* (* (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))))) (* (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))))) (* (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))))) (* (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))) (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (* (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))))) (sqrt (* (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (+ (sqrt x) (sqrt (+ x 1.0)))) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))) (* (* (cbrt (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))))) (cbrt (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))))) (* (cbrt (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))))) (cbrt (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))))))) (* (cbrt (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))))) (cbrt (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))))) (* (sqrt (* (cbrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (cbrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))))) (sqrt (* (cbrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))) (cbrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))))))) (* (sqrt (cbrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))))) (sqrt (cbrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))))) (sqrt (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))))) (sqrt (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))))) (sqrt (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))))) (* (sqrt (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0)))))) (sqrt (sqrt (/ 1.0 (+ (sqrt x) (sqrt (+ x 1.0))))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))))))) (* (sqrt (/ (cbrt 1.0) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (sqrt (/ (cbrt 1.0) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))))) (* (sqrt (/ (cbrt 1.0) (sqrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (sqrt (/ (cbrt 1.0) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ (cbrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))))) (* (sqrt (/ (sqrt 1.0) (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))))) (sqrt (/ (sqrt 1.0) (* (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))))))) (* (sqrt (/ (sqrt 1.0) (cbrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (sqrt (/ (sqrt 1.0) (cbrt (+ (sqrt x) (sqrt (+ x 1.0))))))) (* (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))))) (* (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt x) (sqrt (+ x 1.0)))))) (sqrt (/ (sqrt 1.0) (sqrt (+ (sqrt x) (sqrt (+ x 1.0))))))) (* (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ (sqrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0)))))) (* (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ (sqrt 1.0) (+ (sqrt x) (sqrt (+ x 1.0))))) (sqrt (/ (sqrt 1.0) (+ (sqrt x) (sqrt (+ x 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+nan.0 (pow x 2))) (fma (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7)))) 5/32 (- (sqrt (sqrt 1.0)) (fma (* 1/4 x) (sqrt (/ 1 (pow (sqrt 1.0) 3))) (- (- (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0))))) (* (* +nan.0 (pow x 2)) (- (sqrt (/ 1 (sqrt 1.0))) (sqrt (/ 1 (pow (sqrt 1.0) 5)))))) (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))))))) (+ (- (* (sqrt +nan.0) (sqrt 1.0)) (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow x 2))))) (* +nan.0 (- (/ (sqrt 1.0) (* (sqrt +nan.0) x)) (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow x 2)))))) (+ (- (* (sqrt +nan.0) (sqrt 1.0)) (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow x 2))))) (* +nan.0 (- (/ (sqrt 1.0) (* (sqrt +nan.0) x)) (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow x 2)))))) 9.168 * * * [progress]: adding candidates to table 9.745 * [progress]: [Phase 3 of 3] Extracting. 9.745 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 9.748 * * * [regime-changes]: Trying 1 branch expressions: (x) 9.748 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 9.788 * * * [regime]: Found split indices: #