9.677 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.027 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.029 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.030 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.030 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.068 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.068 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.068 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.068 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of 1.0 in x 0.070 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.071 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.071 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of 1.0 in x 0.073 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.098 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.098 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.098 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.098 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.101 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.101 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.119 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.119 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.119 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.119 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.119 * [taylor]: Taking taylor expansion of 1.0 in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.121 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.121 * [taylor]: Taking taylor expansion of -1 in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.122 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.122 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.122 * [taylor]: Taking taylor expansion of 1.0 in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.122 * [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 0.141 * * * [progress]: simplifying candidates 0.143 * [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))))) 0.149 * * [simplify]: iteration 0 : 252 enodes (cost 1065 ) 0.153 * * [simplify]: iteration 1 : 759 enodes (cost 733 ) 0.173 * * [simplify]: iteration 2 : 4363 enodes (cost 623 ) 0.270 * * [simplify]: iteration 3 : 5001 enodes (cost 593 ) 0.273 * [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))) 0.273 * * * [progress]: adding candidates to table 0.361 * * [progress]: iteration 2 / 4 0.361 * * * [progress]: picking best candidate 0.364 * * * * [pick]: Picked # 0.364 * * * [progress]: localizing error 0.372 * * * [progress]: generating rewritten candidates 0.372 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.401 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.426 * * * [progress]: generating series expansions 0.426 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.427 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.427 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.427 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.427 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of 1.0 in x 0.429 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.431 * [taylor]: Taking taylor expansion of 1.0 in x 0.431 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.431 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.431 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of 1.0 in x 0.433 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.514 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.514 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.514 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.515 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.515 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.518 * [taylor]: Taking taylor expansion of 1.0 in x 0.518 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.518 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.518 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.519 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.519 * [taylor]: Taking taylor expansion of 1.0 in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.541 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.541 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.541 * [taylor]: Taking taylor expansion of 1.0 in x 0.541 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.541 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.541 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.541 * [taylor]: Taking taylor expansion of -1 in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.542 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.542 * [taylor]: Taking taylor expansion of 1.0 in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.545 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.545 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.545 * [taylor]: Taking taylor expansion of -1 in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.546 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.568 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.568 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.568 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.568 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.568 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.568 * [taylor]: Taking taylor expansion of 1.0 in x 0.576 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.577 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.577 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of 1.0 in x 0.579 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.579 * [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 0.600 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.600 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.600 * [taylor]: Taking taylor expansion of 1.0 in x 0.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.600 * [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 0.603 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.603 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.603 * [taylor]: Taking taylor expansion of 1.0 in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.603 * [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 0.619 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.619 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.619 * [taylor]: Taking taylor expansion of -1 in x 0.619 * [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 0.639 * * * [progress]: simplifying candidates 0.641 * [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))))) 0.647 * * [simplify]: iteration 0 : 356 enodes (cost 693 ) 0.654 * * [simplify]: iteration 1 : 1446 enodes (cost 627 ) 0.681 * * [simplify]: iteration 2 : 5001 enodes (cost 586 ) 0.684 * [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))))) 0.685 * * * [progress]: adding candidates to table 0.837 * * [progress]: iteration 3 / 4 0.837 * * * [progress]: picking best candidate 0.848 * * * * [pick]: Picked # 0.848 * * * [progress]: localizing error 0.861 * * * [progress]: generating rewritten candidates 0.861 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.945 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.976 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.003 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.088 * * * [progress]: generating series expansions 1.088 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.089 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.089 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.089 * [taylor]: Taking taylor expansion of 1.0 in x 1.089 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.089 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.089 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of 1.0 in x 1.091 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.094 * [taylor]: Taking taylor expansion of 1.0 in x 1.094 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.094 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.094 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of 1.0 in x 1.096 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.183 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.183 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.183 * [taylor]: Taking taylor expansion of 1.0 in x 1.183 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.183 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.183 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.185 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.185 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.185 * [taylor]: Taking taylor expansion of 1.0 in x 1.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.185 * [taylor]: Taking taylor expansion of x in x 1.188 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.188 * [taylor]: Taking taylor expansion of 1.0 in x 1.188 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.188 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.188 * [taylor]: Taking taylor expansion of x in x 1.189 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.189 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.189 * [taylor]: Taking taylor expansion of 1.0 in x 1.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.189 * [taylor]: Taking taylor expansion of x in x 1.211 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.211 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.211 * [taylor]: Taking taylor expansion of 1.0 in x 1.211 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.211 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.211 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.211 * [taylor]: Taking taylor expansion of -1 in x 1.211 * [taylor]: Taking taylor expansion of x in x 1.213 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.213 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.213 * [taylor]: Taking taylor expansion of 1.0 in x 1.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.216 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.216 * [taylor]: Taking taylor expansion of 1.0 in x 1.216 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.216 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.216 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.216 * [taylor]: Taking taylor expansion of -1 in x 1.216 * [taylor]: Taking taylor expansion of x in x 1.217 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.217 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.217 * [taylor]: Taking taylor expansion of 1.0 in x 1.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.217 * [taylor]: Taking taylor expansion of x in x 1.246 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.247 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 1.247 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.247 * [taylor]: Taking taylor expansion of 1.0 in x 1.247 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.247 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.247 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.247 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.247 * [taylor]: Taking taylor expansion of 1.0 in x 1.249 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.267 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.267 * [taylor]: Taking taylor expansion of 1.0 in x 1.267 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.267 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.267 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.267 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.267 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.267 * [taylor]: Taking taylor expansion of x in x 1.267 * [taylor]: Taking taylor expansion of 1.0 in x 1.269 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.269 * [taylor]: Taking taylor expansion of x in x 1.467 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 1.467 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.467 * [taylor]: Taking taylor expansion of 1.0 in x 1.467 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.467 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.467 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.467 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.467 * [taylor]: Taking taylor expansion of x in x 1.468 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.469 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.469 * [taylor]: Taking taylor expansion of 1.0 in x 1.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.469 * [taylor]: Taking taylor expansion of x in x 1.480 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.480 * [taylor]: Taking taylor expansion of 1.0 in x 1.480 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.480 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.480 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.480 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.480 * [taylor]: Taking taylor expansion of x in x 1.481 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.481 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.481 * [taylor]: Taking taylor expansion of 1.0 in x 1.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.481 * [taylor]: Taking taylor expansion of x in x 1.536 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 1.536 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.536 * [taylor]: Taking taylor expansion of 1.0 in x 1.536 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.536 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.536 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.536 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.536 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.536 * [taylor]: Taking taylor expansion of -1 in x 1.536 * [taylor]: Taking taylor expansion of x in x 1.537 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.537 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.537 * [taylor]: Taking taylor expansion of 1.0 in x 1.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.537 * [taylor]: Taking taylor expansion of x in x 1.549 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.549 * [taylor]: Taking taylor expansion of 1.0 in x 1.549 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.549 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.549 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.549 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.549 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.549 * [taylor]: Taking taylor expansion of -1 in x 1.549 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.551 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.551 * [taylor]: Taking taylor expansion of 1.0 in x 1.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.607 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.607 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.607 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.607 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.607 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.607 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.607 * [taylor]: Taking taylor expansion of x in x 1.607 * [taylor]: Taking taylor expansion of 1.0 in x 1.609 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.609 * [taylor]: Taking taylor expansion of x in x 1.616 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.616 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.616 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.616 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.616 * [taylor]: Taking taylor expansion of x in x 1.616 * [taylor]: Taking taylor expansion of 1.0 in x 1.618 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.618 * [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 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 1.701 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.701 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.701 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.701 * [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 1.733 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.733 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.733 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.733 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.733 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.733 * [taylor]: Taking taylor expansion of -1 in x 1.733 * [taylor]: Taking taylor expansion of x in x 1.734 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.734 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.734 * [taylor]: Taking taylor expansion of 1.0 in x 1.734 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.734 * [taylor]: Taking taylor expansion of x in x 1.744 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.744 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.744 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.744 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.744 * [taylor]: Taking taylor expansion of -1 in x 1.744 * [taylor]: Taking taylor expansion of x in x 1.745 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.745 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.745 * [taylor]: Taking taylor expansion of 1.0 in x 1.745 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.745 * [taylor]: Taking taylor expansion of x in x 1.782 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.783 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.783 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.783 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.783 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.783 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.783 * [taylor]: Taking taylor expansion of x in x 1.783 * [taylor]: Taking taylor expansion of 1.0 in x 1.784 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.785 * [taylor]: Taking taylor expansion of x in x 1.791 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.791 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.791 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.791 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.791 * [taylor]: Taking taylor expansion of x in x 1.791 * [taylor]: Taking taylor expansion of 1.0 in x 1.793 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.793 * [taylor]: Taking taylor expansion of x in x 1.857 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.857 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.857 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.857 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.857 * [taylor]: Taking taylor expansion of x in x 1.865 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.865 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.865 * [taylor]: Taking taylor expansion of 1.0 in x 1.865 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.865 * [taylor]: Taking taylor expansion of x in x 1.875 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.876 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.876 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.876 * [taylor]: Taking taylor expansion of x in x 1.877 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.877 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.877 * [taylor]: Taking taylor expansion of 1.0 in x 1.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.877 * [taylor]: Taking taylor expansion of x in x 1.907 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.907 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.907 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.907 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.907 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.907 * [taylor]: Taking taylor expansion of -1 in x 1.907 * [taylor]: Taking taylor expansion of x in x 1.908 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.908 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.908 * [taylor]: Taking taylor expansion of 1.0 in x 1.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.918 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.918 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.918 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.918 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.918 * [taylor]: Taking taylor expansion of -1 in x 1.918 * [taylor]: Taking taylor expansion of x in x 1.920 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.920 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.920 * [taylor]: Taking taylor expansion of 1.0 in x 1.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.920 * [taylor]: Taking taylor expansion of x in x 1.950 * * * [progress]: simplifying candidates 1.978 * [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)))))) 2.132 * * * [progress]: adding candidates to table 2.753 * * [progress]: iteration 4 / 4 2.753 * * * [progress]: picking best candidate 2.768 * * * * [pick]: Picked # 2.768 * * * [progress]: localizing error 2.797 * * * [progress]: generating rewritten candidates 2.798 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 2) 2.803 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 1) 2.809 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 1) 2.811 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 2.842 * * * [progress]: generating series expansions 2.842 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 2) 2.842 * [approximate]: Taking taylor expansion of (- x (sqrt (* x (+ x 1.0)))) in (x) around 0 2.842 * [taylor]: Taking taylor expansion of (- x (sqrt (* x (+ x 1.0)))) in x 2.842 * [taylor]: Taking taylor expansion of x in x 2.842 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 2.842 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 2.842 * [taylor]: Taking taylor expansion of x in x 2.842 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.842 * [taylor]: Taking taylor expansion of x in x 2.842 * [taylor]: Taking taylor expansion of 1.0 in x 2.846 * [taylor]: Taking taylor expansion of (- x (sqrt (* x (+ x 1.0)))) in x 2.846 * [taylor]: Taking taylor expansion of x in x 2.846 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 2.846 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 2.846 * [taylor]: Taking taylor expansion of x in x 2.846 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.846 * [taylor]: Taking taylor expansion of x in x 2.846 * [taylor]: Taking taylor expansion of 1.0 in x 2.860 * [approximate]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ (+ 1.0 (/ 1 x)) x))) in (x) around 0 2.860 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ (+ 1.0 (/ 1 x)) x))) in x 2.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.860 * [taylor]: Taking taylor expansion of x in x 2.860 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 2.860 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) 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 2.861 * [taylor]: Taking taylor expansion of x in x 2.864 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ (+ 1.0 (/ 1 x)) x))) in x 2.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.864 * [taylor]: Taking taylor expansion of x in x 2.864 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 2.864 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 2.864 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.864 * [taylor]: Taking taylor expansion of 1.0 in x 2.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.864 * [taylor]: Taking taylor expansion of x in x 2.865 * [taylor]: Taking taylor expansion of x in x 2.881 * [approximate]: Taking taylor expansion of (- (pow (sqrt (/ -1 x)) 2) (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in (x) around 0 2.881 * [taylor]: Taking taylor expansion of (- (pow (sqrt (/ -1 x)) 2) (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 2.881 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.881 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.881 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.881 * [taylor]: Taking taylor expansion of -1 in x 2.881 * [taylor]: Taking taylor expansion of x in x 2.882 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.882 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.882 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.882 * [taylor]: Taking taylor expansion of 1.0 in x 2.882 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.882 * [taylor]: Taking taylor expansion of x in x 2.884 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.884 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.884 * [taylor]: Taking taylor expansion of -1 in x 2.884 * [taylor]: Taking taylor expansion of x in x 2.885 * [taylor]: Taking taylor expansion of (- (pow (sqrt (/ -1 x)) 2) (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 2.885 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.885 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.886 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.886 * [taylor]: Taking taylor expansion of -1 in x 2.886 * [taylor]: Taking taylor expansion of x in x 2.887 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.887 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.887 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.887 * [taylor]: Taking taylor expansion of 1.0 in x 2.887 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.887 * [taylor]: Taking taylor expansion of x in x 2.889 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.889 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.889 * [taylor]: Taking taylor expansion of -1 in x 2.889 * [taylor]: Taking taylor expansion of x in x 2.938 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 1) 2.938 * [approximate]: Taking taylor expansion of x in (x) around 0 2.938 * [taylor]: Taking taylor expansion of x in x 2.938 * [taylor]: Taking taylor expansion of x in x 2.938 * [approximate]: Taking taylor expansion of (/ 1 x) in (x) around 0 2.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.938 * [taylor]: Taking taylor expansion of x in x 2.939 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.939 * [taylor]: Taking taylor expansion of x in x 2.942 * [approximate]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in (x) around 0 2.942 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.942 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.942 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.942 * [taylor]: Taking taylor expansion of -1 in x 2.942 * [taylor]: Taking taylor expansion of x in x 2.944 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.944 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.944 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.944 * [taylor]: Taking taylor expansion of -1 in x 2.944 * [taylor]: Taking taylor expansion of x in x 2.954 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 1) 2.954 * [approximate]: Taking taylor expansion of (pow (sqrt x) 3/2) in (x) around 0 2.955 * [taylor]: Taking taylor expansion of (pow (sqrt x) 3/2) in x 2.955 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt x)))) in x 2.955 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt x))) in x 2.955 * [taylor]: Taking taylor expansion of 3/2 in x 2.955 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 2.955 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.955 * [taylor]: Taking taylor expansion of x in x 2.957 * [taylor]: Taking taylor expansion of (pow (sqrt x) 3/2) in x 2.957 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt x)))) in x 2.957 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt x))) in x 2.957 * [taylor]: Taking taylor expansion of 3/2 in x 2.957 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 2.957 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.957 * [taylor]: Taking taylor expansion of x in x 2.986 * [approximate]: Taking taylor expansion of (pow (sqrt (/ 1 x)) 3/2) in (x) around 0 2.986 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 x)) 3/2) in x 2.986 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt (/ 1 x))))) in x 2.986 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt (/ 1 x)))) in x 2.986 * [taylor]: Taking taylor expansion of 3/2 in x 2.986 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 2.986 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.986 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.986 * [taylor]: Taking taylor expansion of x in x 2.990 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 x)) 3/2) in x 2.990 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt (/ 1 x))))) in x 2.990 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt (/ 1 x)))) in x 2.990 * [taylor]: Taking taylor expansion of 3/2 in x 2.990 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 2.990 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.990 * [taylor]: Taking taylor expansion of x in x 3.034 * [approximate]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 3/2) in (x) around 0 3.034 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 3/2) in x 3.034 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt (/ -1 x))))) in x 3.034 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt (/ -1 x)))) in x 3.034 * [taylor]: Taking taylor expansion of 3/2 in x 3.034 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 3.034 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.034 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.034 * [taylor]: Taking taylor expansion of -1 in x 3.034 * [taylor]: Taking taylor expansion of x in x 3.037 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 3/2) in x 3.037 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt (/ -1 x))))) in x 3.037 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt (/ -1 x)))) in x 3.037 * [taylor]: Taking taylor expansion of 3/2 in x 3.037 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 3.037 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.037 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.037 * [taylor]: Taking taylor expansion of -1 in x 3.037 * [taylor]: Taking taylor expansion of x in x 3.075 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 3.075 * [approximate]: Taking taylor expansion of (+ x 1.0) in (x) around 0 3.075 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.075 * [taylor]: Taking taylor expansion of x in x 3.075 * [taylor]: Taking taylor expansion of 1.0 in x 3.075 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.075 * [taylor]: Taking taylor expansion of x in x 3.075 * [taylor]: Taking taylor expansion of 1.0 in x 3.077 * [approximate]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in (x) around 0 3.078 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.078 * [taylor]: Taking taylor expansion of 1.0 in x 3.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.078 * [taylor]: Taking taylor expansion of x in x 3.078 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.078 * [taylor]: Taking taylor expansion of 1.0 in x 3.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.078 * [taylor]: Taking taylor expansion of x in x 3.084 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 x)) in (x) around 0 3.084 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.084 * [taylor]: Taking taylor expansion of 1.0 in x 3.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.084 * [taylor]: Taking taylor expansion of x in x 3.084 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.084 * [taylor]: Taking taylor expansion of 1.0 in x 3.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.084 * [taylor]: Taking taylor expansion of x in x 3.100 * * * [progress]: simplifying candidates 3.103 * [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))) (* 1 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))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt x) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt x) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt x) (sqrt (sqrt x))) (* (sqrt x) (sqrt 1)) (* (sqrt x) (sqrt (sqrt x))) (* (sqrt x) 1) (* (cbrt (sqrt x)) (sqrt x)) (* (sqrt (cbrt x)) (sqrt x)) (* (sqrt (sqrt x)) (sqrt x)) (* (sqrt x) (sqrt x)) (* (sqrt (sqrt x)) (sqrt x)) (* (sqrt x) (sqrt x)) (expm1 (pow (sqrt x) 3/2)) (log1p (pow (sqrt x) 3/2)) (* (log (sqrt x)) 3/2) (* (log (sqrt x)) 3/2) (* 1/2 3/2) (* 1 3/2) (* (/ 1 2) 3/2) (pow (sqrt x) (* (cbrt 3/2) (cbrt 3/2))) (pow (sqrt x) (sqrt 3/2)) (pow (sqrt x) 1) (pow (* (cbrt (sqrt x)) (cbrt (sqrt x))) 3/2) (pow (cbrt (sqrt x)) 3/2) (pow (sqrt (* (cbrt x) (cbrt x))) 3/2) (pow (sqrt (cbrt x)) 3/2) (pow (sqrt (sqrt x)) 3/2) (pow (sqrt (sqrt x)) 3/2) (pow (sqrt 1) 3/2) (pow (sqrt x) 3/2) (pow (sqrt (sqrt x)) 3/2) (pow (sqrt (sqrt x)) 3/2) (pow 1 3/2) (pow (sqrt x) 3/2) (log (pow (sqrt x) 3/2)) (exp (pow (sqrt x) 3/2)) (* (cbrt (pow (sqrt x) 3/2)) (cbrt (pow (sqrt x) 3/2))) (cbrt (pow (sqrt x) 3/2)) (* (* (pow (sqrt x) 3/2) (pow (sqrt x) 3/2)) (pow (sqrt x) 3/2)) (/ 3/2 2) (sqrt (pow (sqrt x) 3/2)) (sqrt (pow (sqrt x) 3/2)) (pow (sqrt x) (/ 3/2 2)) (pow (sqrt x) (/ 3/2 2)) (expm1 (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (log1p (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ x 1.0) (+ x 1.0)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (+ x 1.0) (+ x 1.0)) (+ 1 1) (+ (log (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0)))) (log (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (exp (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (* (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0)))) (* (cbrt (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (cbrt (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))) (cbrt (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (* (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (* (+ x 1.0) (+ x 1.0)) (sqrt (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (sqrt (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (* (sqrt (+ (pow x 3) (pow 1.0 3))) (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) (* x 1.0))))) (* (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- x 1.0))) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (+ (pow x 3) (pow 1.0 3)))) (* (sqrt (- x 1.0)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (- x 1.0)) (sqrt (- x 1.0))) (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* 1 1) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ x 1.0)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (* (sqrt (+ x 1.0)) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (sqrt (+ x 1.0)) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (+ x 1.0)) (sqrt 1)) (* (sqrt (+ x 1.0)) (sqrt 1)) (* (sqrt (+ x 1.0)) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (+ x 1.0)) 1) (* (cbrt (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3)))) (* (sqrt (+ x 1.0)) (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ x 1.0))) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (+ x 1.0))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- (* 0.125 (/ 1 x)) (+ 0.5 (* 0.0625 (/ 1 (pow x 2))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) x x (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (exp (* 3/2 (+ (log x) (log +nan.0)))) (+ (* +nan.0 (* (exp (* 3/2 (+ (log x) (log +nan.0)))) (pow x 2))) (- (* +nan.0 (* (exp (* 3/2 (+ (log x) (log +nan.0)))) x))))) (- (pow +nan.0 3/2) (+ (* +nan.0 (* (/ 1 x) (sqrt (pow +nan.0 3)))) (- (* +nan.0 (* (/ 1 (pow x 2)) (sqrt (pow +nan.0 3))))))) (- (pow +nan.0 3/2) (+ (* +nan.0 (* (/ 1 x) (sqrt (pow +nan.0 3)))) (- (* +nan.0 (* (/ 1 (pow x 2)) (sqrt (pow +nan.0 3))))))) (+ x 1.0) (+ x 1.0) (+ x 1.0) 3.112 * * [simplify]: iteration 0 : 503 enodes (cost 743 ) 3.123 * * [simplify]: iteration 1 : 2458 enodes (cost 632 ) 3.179 * * [simplify]: iteration 2 : 5002 enodes (cost 611 ) 3.183 * [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 (pow x 2) x (- (pow (* (sqrt (+ x 1.0)) (sqrt x)) 3))) (fma x (+ x (+ x 1.0)) (* (* x (sqrt (+ x 1.0))) (sqrt x))) (- (* (sqrt (+ x 1.0)) (sqrt x))) (* x (- x (+ x 1.0))) (fma (sqrt (+ x 1.0)) (sqrt x) x) (- (sqrt x) (sqrt (+ x 1.0))) (- (* (sqrt (+ x 1.0)) (sqrt x))) (expm1 (* (sqrt x) (sqrt x))) (log1p (* (sqrt x) (sqrt x))) 1 1 2 1 1 (pow x 2) x (pow x 2) 2 (log x) (log x) (pow (exp 1) x) (pow x 3) (* (cbrt x) (cbrt x)) (cbrt x) (pow x 3) (pow x 2) (sqrt x) (sqrt x) (pow (cbrt (sqrt x)) 4) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt x) (cbrt x)) (cbrt x) (sqrt x) (sqrt x) (sqrt x) (sqrt x) 1 x (sqrt x) (sqrt x) (sqrt x) (sqrt x) 1 x (sqrt x) (sqrt x) (sqrt x) (sqrt x) (sqrt x) (sqrt x) (sqrt x) (sqrt x) 1 2 1 (* (sqrt x) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (fabs (cbrt x)) (sqrt x)) (pow (sqrt x) 3/2) (sqrt x) (pow (sqrt x) 3/2) (sqrt x) (pow (cbrt (sqrt x)) 4) (* (sqrt (cbrt x)) (sqrt x)) (pow (sqrt x) 3/2) x (pow (sqrt x) 3/2) x (expm1 (pow (sqrt x) 3/2)) (log1p (pow (sqrt x) 3/2)) (log (pow (sqrt x) 3/2)) (log (pow (sqrt x) 3/2)) 3/4 3/2 3/4 (pow (sqrt x) (* (cbrt 3/2) (cbrt 3/2))) (pow (sqrt x) (sqrt 3/2)) (sqrt x) (pow (* (cbrt (sqrt x)) (cbrt (sqrt x))) 3/2) (pow (cbrt (sqrt x)) 3/2) (pow (fabs (cbrt x)) 3/2) (pow (sqrt (cbrt x)) 3/2) (pow (sqrt (sqrt x)) 3/2) (pow (sqrt (sqrt x)) 3/2) 1 (pow (sqrt x) 3/2) (pow (sqrt (sqrt x)) 3/2) (pow (sqrt (sqrt x)) 3/2) 1 (pow (sqrt x) 3/2) (log (pow (sqrt x) 3/2)) (exp (pow (sqrt x) 3/2)) (* (cbrt (pow (sqrt x) 3/2)) (cbrt (pow (sqrt x) 3/2))) (cbrt (pow (sqrt x) 3/2)) (pow (pow (sqrt x) 3/2) 3) 3/4 (sqrt (pow (sqrt x) 3/2)) (sqrt (pow (sqrt x) 3/2)) (pow (sqrt x) 3/4) (pow (sqrt x) 3/4) (expm1 (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (log1p (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) 1 1 2 1 1 (* (+ x 1.0) (+ x 1.0)) (+ x 1.0) (* (+ x 1.0) (+ x 1.0)) 2 (* 2 (log (sqrt (+ x 1.0)))) (* 2 (log (sqrt (+ x 1.0)))) (pow (exp 1) (+ x 1.0)) (pow (+ x 1.0) 3) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0)) (pow (+ x 1.0) 3) (* (+ x 1.0) (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (+ (pow x 3) (pow 1.0 3)) (fma x x (* 1.0 (- 1.0 x))) (* (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- x 1.0))) (* (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- x 1.0))) (- (* x x) (* 1.0 1.0)) (- x 1.0) (pow (cbrt (sqrt (+ x 1.0))) 4) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) 1 (+ x 1.0) 1 (+ x 1.0) 1 (+ x 1.0) 1 (+ x 1.0) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) 1 (+ x 1.0) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) 1 2 1 (* (sqrt (+ x 1.0)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (* (fabs (cbrt (+ x 1.0))) (sqrt (+ x 1.0))) (pow (sqrt (sqrt (+ x 1.0))) 3) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (pow (sqrt (sqrt (+ x 1.0))) 3) (sqrt (+ x 1.0)) (pow (cbrt (sqrt (+ x 1.0))) 4) (* (sqrt (cbrt (+ x 1.0))) (sqrt (+ x 1.0))) (pow (sqrt (sqrt (+ x 1.0))) 3) (+ x 1.0) (+ x 1.0) (pow (sqrt (sqrt (+ x 1.0))) 3) (+ x 1.0) (* (sqrt (+ x 1.0)) (hypot (pow x 3/2) (pow 1.0 3/2))) (* (sqrt (+ x 1.0)) (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (+ x 1.0)) (hypot (pow x 3/2) (pow 1.0 3/2))) (* (sqrt (+ x 1.0)) (sqrt (- (* x x) (* 1.0 1.0)))) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow x 3) x))) (- (* 0.125 (/ 1 x)) (+ 0.5 (* 0.0625 (/ 1 (pow x 2))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) x x (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (exp (* 3/2 (+ (log x) (log +nan.0)))) (* +nan.0 (* (exp (* 3/2 (+ (log x) (log +nan.0)))) (pow x 2)))) (* +nan.0 (* (exp (* 3/2 (+ (log x) (log +nan.0)))) x))) (+ (- (pow +nan.0 3/2) (* +nan.0 (* (/ 1 x) (sqrt (pow +nan.0 3))))) (* +nan.0 (* (/ 1 (pow x 2)) (sqrt (pow +nan.0 3))))) (+ (- (pow +nan.0 3/2) (* +nan.0 (* (/ 1 x) (sqrt (pow +nan.0 3))))) (* +nan.0 (* (/ 1 (pow x 2)) (sqrt (pow +nan.0 3))))) (+ x 1.0) (+ x 1.0) (+ x 1.0) 3.184 * * * [progress]: adding candidates to table 3.673 * [progress]: [Phase 3 of 3] Extracting. 3.673 * * [regime]: Finding splitpoints for: (# # # # # #) 3.677 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.677 * * * * [regimes]: Trying to branch on x from (# # # # # #) 3.706 * * * [regime]: Found split indices: #