16.577 * [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) 0.070 * * * [progress]: generating series expansions 0.070 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.070 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.070 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.070 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.070 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.070 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of 1.0 in x 0.072 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.073 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.073 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of 1.0 in x 0.075 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.075 * [taylor]: Taking taylor expansion of x in x 0.095 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.095 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.095 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.095 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.095 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.097 * [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 0.099 * [taylor]: Taking taylor expansion of x in x 0.115 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.115 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.115 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.115 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.115 * [taylor]: Taking taylor expansion of 1.0 in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.116 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.116 * [taylor]: Taking taylor expansion of -1 in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.118 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.118 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.118 * [taylor]: Taking taylor expansion of 1.0 in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.120 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.120 * [taylor]: Taking taylor expansion of -1 in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.139 * * * [progress]: simplifying candidates 0.140 * [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))))) 0.145 * * [simplify]: iteration 0 : 252 enodes (cost 1065 ) 0.150 * * [simplify]: iteration 1 : 759 enodes (cost 733 ) 0.169 * * [simplify]: iteration 2 : 4363 enodes (cost 623 ) 0.264 * * [simplify]: iteration 3 : 5001 enodes (cost 593 ) 0.267 * [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))) 0.268 * * * [progress]: adding candidates to table 0.351 * * [progress]: iteration 2 / 4 0.351 * * * [progress]: picking best candidate 0.359 * * * * [pick]: Picked # 0.359 * * * [progress]: localizing error 0.367 * * * [progress]: generating rewritten candidates 0.367 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.398 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.419 * * * [progress]: generating series expansions 0.419 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.420 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.420 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.420 * [taylor]: Taking taylor expansion of 1.0 in x 0.420 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.420 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.420 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of 1.0 in x 0.422 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.425 * [taylor]: Taking taylor expansion of 1.0 in x 0.425 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.425 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.425 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of 1.0 in x 0.427 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.505 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.505 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.505 * [taylor]: Taking taylor expansion of 1.0 in x 0.505 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.505 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.507 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.509 * [taylor]: Taking taylor expansion of 1.0 in x 0.509 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.509 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.510 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.531 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.531 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.531 * [taylor]: Taking taylor expansion of 1.0 in x 0.531 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.531 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.531 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.531 * [taylor]: Taking taylor expansion of -1 in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.532 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.532 * [taylor]: Taking taylor expansion of 1.0 in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 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 0.563 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.563 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.563 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.563 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.563 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of 1.0 in x 0.565 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.566 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.566 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of 1.0 in x 0.568 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.587 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.587 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.587 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.588 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.588 * [taylor]: Taking taylor expansion of 1.0 in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.590 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.591 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.591 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.605 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.605 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.605 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.605 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.605 * [taylor]: Taking taylor expansion of -1 in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.607 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.607 * [taylor]: Taking taylor expansion of 1.0 in x 0.607 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.609 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.609 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.609 * [taylor]: Taking taylor expansion of -1 in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.610 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.610 * [taylor]: Taking taylor expansion of 1.0 in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.631 * * * [progress]: simplifying candidates 0.632 * [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))))) 0.638 * * [simplify]: iteration 0 : 356 enodes (cost 693 ) 0.646 * * [simplify]: iteration 1 : 1446 enodes (cost 627 ) 0.674 * * [simplify]: iteration 2 : 5001 enodes (cost 586 ) 0.678 * [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))))) 0.678 * * * [progress]: adding candidates to table 0.829 * * [progress]: iteration 3 / 4 0.830 * * * [progress]: picking best candidate 0.840 * * * * [pick]: Picked # 0.840 * * * [progress]: localizing error 0.848 * * * [progress]: generating rewritten candidates 0.848 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.872 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 2) 0.897 * * * [progress]: generating series expansions 0.897 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.898 * [approximate]: Taking taylor expansion of (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.898 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.898 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.898 * [taylor]: Taking taylor expansion of 1.0 in x 0.898 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.898 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.898 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [taylor]: Taking taylor expansion of 1.0 in x 0.900 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.900 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.903 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.903 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.903 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.903 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.905 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.976 * [approximate]: Taking taylor expansion of (/ (sqrt 1.0) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.976 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.976 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.976 * [taylor]: Taking taylor expansion of 1.0 in x 0.977 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.977 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.977 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.977 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.978 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.978 * [taylor]: Taking taylor expansion of 1.0 in x 0.978 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.981 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.981 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.981 * [taylor]: Taking taylor expansion of 1.0 in x 0.981 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.981 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.981 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.981 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.983 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.983 * [taylor]: Taking taylor expansion of 1.0 in x 0.983 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.983 * [taylor]: Taking taylor expansion of x in x 1.011 * [approximate]: Taking taylor expansion of (/ (sqrt 1.0) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.011 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.011 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.011 * [taylor]: Taking taylor expansion of 1.0 in x 1.012 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.012 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.012 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.012 * [taylor]: Taking taylor expansion of -1 in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.013 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.013 * [taylor]: Taking taylor expansion of 1.0 in x 1.013 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.016 * [taylor]: Taking taylor expansion of (/ (sqrt 1.0) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.016 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.016 * [taylor]: Taking taylor expansion of 1.0 in x 1.017 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.017 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.017 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.017 * [taylor]: Taking taylor expansion of -1 in x 1.017 * [taylor]: Taking taylor expansion of x in x 1.018 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.018 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.018 * [taylor]: Taking taylor expansion of 1.0 in x 1.018 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.018 * [taylor]: Taking taylor expansion of x in x 1.047 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 2) 1.047 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 1.047 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.047 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.047 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of 1.0 in x 1.049 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.055 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.056 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.056 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [taylor]: Taking taylor expansion of 1.0 in x 1.057 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.057 * [taylor]: Taking taylor expansion of x in x 1.076 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 1.076 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.076 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.078 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.078 * [taylor]: Taking taylor expansion of 1.0 in x 1.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.079 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.080 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.080 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.080 * [taylor]: Taking taylor expansion of 1.0 in x 1.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.081 * [taylor]: Taking taylor expansion of x in x 1.095 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 1.095 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.095 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.095 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.095 * [taylor]: Taking taylor expansion of -1 in x 1.095 * [taylor]: Taking taylor expansion of x in x 1.096 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.096 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.096 * [taylor]: Taking taylor expansion of 1.0 in x 1.096 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.096 * [taylor]: Taking taylor expansion of x in x 1.098 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.098 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.098 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.098 * [taylor]: Taking taylor expansion of -1 in x 1.098 * [taylor]: Taking taylor expansion of x in x 1.100 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.100 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.100 * [taylor]: Taking taylor expansion of 1.0 in x 1.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.100 * [taylor]: Taking taylor expansion of x in x 1.115 * * * [progress]: simplifying candidates 1.116 * [simplify]: Simplifying using # : (expm1 (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (log (sqrt 1.0)) (log (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (sqrt 1.0)) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (sqrt 1.0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt (sqrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 1) (/ (cbrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt 1)) (/ (cbrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt 1)) (/ (cbrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 1) (/ (cbrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (cbrt 1.0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) 1) (/ (sqrt (cbrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt 1)) (/ (sqrt (cbrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt 1)) (/ (sqrt (cbrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) 1) (/ (sqrt (cbrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (sqrt 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (sqrt 1.0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (sqrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (sqrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (sqrt 1.0)) 1) (/ (sqrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (sqrt 1.0)) (sqrt 1)) (/ (sqrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (sqrt 1.0)) (sqrt 1)) (/ (sqrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (sqrt 1.0)) 1) (/ (sqrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1) (* (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) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1) 1) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt 1) 1) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (sqrt 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (sqrt 1.0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (sqrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (sqrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (sqrt 1.0)) 1) (/ (sqrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (sqrt 1.0)) (sqrt 1)) (/ (sqrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (sqrt 1.0)) (sqrt 1)) (/ (sqrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (sqrt 1.0)) 1) (/ (sqrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) 1) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt (sqrt 1.0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (cbrt 1.0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (sqrt 1.0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (sqrt 1.0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (sqrt 1.0) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (/ (sqrt 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (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)) (- (+ (* 3/8 (/ (pow x 2) (pow (sqrt 1.0) 4))) 1) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 1/2 (/ x (pow (sqrt 1.0) 2))) (+ (* +nan.0 (/ (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ x (sqrt 1.0)))))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (* +nan.0 (sqrt 1.0))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (* +nan.0 (sqrt 1.0))))))) (- (+ (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))))) 1.122 * * [simplify]: iteration 0 : 348 enodes (cost 864 ) 1.129 * * [simplify]: iteration 1 : 1260 enodes (cost 799 ) 1.155 * * [simplify]: iteration 2 : 5001 enodes (cost 758 ) 1.158 * [simplify]: Simplified to: (expm1 (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (* (cbrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (sqrt 1.0)) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (sqrt 1.0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt (sqrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (/ (cbrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (/ (cbrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (/ (cbrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (/ (cbrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (/ (fabs (cbrt 1.0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (cbrt 1.0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (fabs (cbrt 1.0)) (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 1)) (/ (sqrt (cbrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (fabs (cbrt 1.0)) (/ (sqrt (cbrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (fabs (cbrt 1.0)) (/ (sqrt (cbrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (fabs (cbrt 1.0)) (/ (sqrt (cbrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (fabs (cbrt 1.0)) (/ (sqrt (cbrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (sqrt 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (sqrt 1.0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (sqrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (sqrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (sqrt 1.0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (sqrt 1.0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (sqrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (sqrt 1.0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0) (sqrt 1.0) (sqrt 1.0) (sqrt 1.0) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt (sqrt 1.0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (cbrt 1.0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (sqrt 1.0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (sqrt 1.0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (sqrt 1.0) (fma x (sqrt x) (pow (sqrt (+ x 1.0)) 3))) (/ (sqrt 1.0) (+ x (- 1.0 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 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)) (+ (- (fma 3/8 (* (/ x 1.0) (/ x 1.0)) (- 1 (/ (* +nan.0 (pow x 2)) 1.0))) (- (/ (* 1/2 x) 1.0) (* (/ (pow x 2) (sqrt 1.0)) (- +nan.0 (/ +nan.0 1.0))))) (* +nan.0 (/ x (sqrt 1.0)))) (fma (- +nan.0) (/ (sqrt 1.0) x) (* +nan.0 (- (/ (sqrt 1.0) (pow x 2)) (sqrt 1.0)))) (fma (- +nan.0) (/ (sqrt 1.0) x) (* +nan.0 (- (/ (sqrt 1.0) (pow x 2)) (sqrt 1.0)))) (+ (- (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))))) 1.159 * * * [progress]: adding candidates to table 1.333 * * [progress]: iteration 4 / 4 1.333 * * * [progress]: picking best candidate 1.343 * * * * [pick]: Picked # 1.343 * * * [progress]: localizing error 1.353 * * * [progress]: generating rewritten candidates 1.353 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.498 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.530 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.558 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.613 * * * [progress]: generating series expansions 1.613 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.614 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.614 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.615 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.615 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.615 * [taylor]: Taking taylor expansion of 1.0 in x 1.615 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.615 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.615 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.615 * [taylor]: Taking taylor expansion of x in x 1.615 * [taylor]: Taking taylor expansion of 1.0 in x 1.617 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.617 * [taylor]: Taking taylor expansion of x in x 1.621 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.621 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.621 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.621 * [taylor]: Taking taylor expansion of 1.0 in x 1.622 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.622 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.622 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.622 * [taylor]: Taking taylor expansion of x in x 1.622 * [taylor]: Taking taylor expansion of 1.0 in x 1.624 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.624 * [taylor]: Taking taylor expansion of x in x 1.688 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.689 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.689 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.689 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.689 * [taylor]: Taking taylor expansion of 1.0 in x 1.689 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.689 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.689 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.689 * [taylor]: Taking taylor expansion of x in x 1.691 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.691 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.691 * [taylor]: Taking taylor expansion of 1.0 in x 1.691 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.691 * [taylor]: Taking taylor expansion of x in x 1.695 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.695 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.695 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.695 * [taylor]: Taking taylor expansion of 1.0 in x 1.696 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.696 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.696 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.696 * [taylor]: Taking taylor expansion of x in x 1.697 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.697 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.697 * [taylor]: Taking taylor expansion of 1.0 in x 1.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.697 * [taylor]: Taking taylor expansion of x in x 1.736 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.736 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.736 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.736 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.736 * [taylor]: Taking taylor expansion of 1.0 in x 1.737 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.737 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.737 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.737 * [taylor]: Taking taylor expansion of -1 in x 1.737 * [taylor]: Taking taylor expansion of x in x 1.738 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.738 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.738 * [taylor]: Taking taylor expansion of 1.0 in x 1.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.738 * [taylor]: Taking taylor expansion of x in x 1.743 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.743 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 1.743 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.743 * [taylor]: Taking taylor expansion of 1.0 in x 1.743 * [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 1.789 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.789 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.789 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.790 * [taylor]: Taking taylor expansion of 1.0 in x 1.790 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.790 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.790 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.790 * [taylor]: Taking taylor expansion of x in x 1.790 * [taylor]: Taking taylor expansion of 1.0 in x 1.791 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.791 * [taylor]: Taking taylor expansion of x in x 1.793 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.793 * [taylor]: Taking taylor expansion of 1.0 in x 1.793 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.794 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.794 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.794 * [taylor]: Taking taylor expansion of x in x 1.794 * [taylor]: Taking taylor expansion of 1.0 in x 1.795 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.795 * [taylor]: Taking taylor expansion of x in x 1.877 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.877 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.877 * [taylor]: Taking taylor expansion of 1.0 in x 1.877 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.877 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.877 * [taylor]: Taking taylor expansion of x in x 1.878 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.878 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.878 * [taylor]: Taking taylor expansion of 1.0 in x 1.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.878 * [taylor]: Taking taylor expansion of x in x 1.881 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.881 * [taylor]: Taking taylor expansion of 1.0 in x 1.881 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.881 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.881 * [taylor]: Taking taylor expansion of x in x 1.882 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.882 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.882 * [taylor]: Taking taylor expansion of 1.0 in x 1.882 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.882 * [taylor]: Taking taylor expansion of x in x 1.903 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.903 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.903 * [taylor]: Taking taylor expansion of 1.0 in x 1.903 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.903 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.903 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.903 * [taylor]: Taking taylor expansion of -1 in x 1.903 * [taylor]: Taking taylor expansion of x in x 1.905 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.905 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.905 * [taylor]: Taking taylor expansion of 1.0 in x 1.905 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.905 * [taylor]: Taking taylor expansion of x in x 1.907 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.907 * [taylor]: Taking taylor expansion of 1.0 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 1.908 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.908 * [taylor]: Taking taylor expansion of -1 in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.909 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.909 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.909 * [taylor]: Taking taylor expansion of 1.0 in x 1.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.909 * [taylor]: Taking taylor expansion of x in x 1.937 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.938 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.938 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.938 * [taylor]: Taking taylor expansion of 1.0 in x 1.938 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.938 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.938 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.938 * [taylor]: Taking taylor expansion of x in x 1.938 * [taylor]: Taking taylor expansion of 1.0 in x 1.939 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.940 * [taylor]: Taking taylor expansion of x in x 1.942 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.942 * [taylor]: Taking taylor expansion of 1.0 in x 1.942 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.942 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.942 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.942 * [taylor]: Taking taylor expansion of x in x 1.942 * [taylor]: Taking taylor expansion of 1.0 in x 1.943 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.944 * [taylor]: Taking taylor expansion of x in x 2.026 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.026 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.026 * [taylor]: Taking taylor expansion of 1.0 in x 2.026 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.026 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.026 * [taylor]: Taking taylor expansion of x in x 2.028 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.028 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.028 * [taylor]: Taking taylor expansion of 1.0 in x 2.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.028 * [taylor]: Taking taylor expansion of x in x 2.030 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.030 * [taylor]: Taking taylor expansion of 1.0 in x 2.030 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.030 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.030 * [taylor]: Taking taylor expansion of x in x 2.032 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.032 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.032 * [taylor]: Taking taylor expansion of 1.0 in x 2.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.032 * [taylor]: Taking taylor expansion of x in x 2.053 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.053 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.053 * [taylor]: Taking taylor expansion of 1.0 in x 2.053 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.053 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.053 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.053 * [taylor]: Taking taylor expansion of -1 in x 2.053 * [taylor]: Taking taylor expansion of x in x 2.054 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.054 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.054 * [taylor]: Taking taylor expansion of 1.0 in x 2.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.054 * [taylor]: Taking taylor expansion of x in x 2.057 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.057 * [taylor]: Taking taylor expansion of 1.0 in x 2.057 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.057 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.057 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.057 * [taylor]: Taking taylor expansion of -1 in x 2.057 * [taylor]: Taking taylor expansion of x in x 2.059 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.059 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.059 * [taylor]: Taking taylor expansion of 1.0 in x 2.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.059 * [taylor]: Taking taylor expansion of x in x 2.080 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.080 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in (x) around 0 2.081 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 2.081 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.081 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.081 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.081 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.081 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.081 * [taylor]: Taking taylor expansion of x in x 2.081 * [taylor]: Taking taylor expansion of 1.0 in x 2.083 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.083 * [taylor]: Taking taylor expansion of x in x 2.106 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.107 * [taylor]: Taking taylor expansion of 1.0 in x 2.107 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 2.107 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.107 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.107 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.107 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.107 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.107 * [taylor]: Taking taylor expansion of x in x 2.107 * [taylor]: Taking taylor expansion of 1.0 in x 2.109 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.109 * [taylor]: Taking taylor expansion of x in x 2.127 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.128 * [taylor]: Taking taylor expansion of 1.0 in x 2.295 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 2.295 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.295 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.295 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.295 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.295 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.295 * [taylor]: Taking taylor expansion of x in x 2.296 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.296 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.296 * [taylor]: Taking taylor expansion of 1.0 in x 2.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.296 * [taylor]: Taking taylor expansion of x in x 2.307 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.307 * [taylor]: Taking taylor expansion of 1.0 in x 2.308 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.308 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.308 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.308 * [taylor]: Taking taylor expansion of x in x 2.309 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.309 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.309 * [taylor]: Taking taylor expansion of 1.0 in x 2.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.309 * [taylor]: Taking taylor expansion of x in x 2.320 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.320 * [taylor]: Taking taylor expansion of 1.0 in x 2.371 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 2.371 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.371 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.371 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.371 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.371 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.371 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.371 * [taylor]: Taking taylor expansion of -1 in x 2.371 * [taylor]: Taking taylor expansion of x in x 2.372 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.372 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.372 * [taylor]: Taking taylor expansion of 1.0 in x 2.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.372 * [taylor]: Taking taylor expansion of x in x 2.384 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.384 * [taylor]: Taking taylor expansion of 1.0 in x 2.384 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.384 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.384 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.384 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.384 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.384 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.384 * [taylor]: Taking taylor expansion of -1 in x 2.384 * [taylor]: Taking taylor expansion of x in x 2.386 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.386 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.386 * [taylor]: Taking taylor expansion of 1.0 in x 2.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.386 * [taylor]: Taking taylor expansion of x in x 2.397 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.397 * [taylor]: Taking taylor expansion of 1.0 in x 2.440 * * * [progress]: simplifying candidates 2.452 * [simplify]: Simplifying using # : (expm1 (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log1p (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ (+ 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))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (+ 1 1) (+ (log (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (exp (* (sqrt (/ (+ 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)))) (sqrt (/ (+ 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)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))))) (cbrt (* (sqrt (/ (+ 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)))) (sqrt (/ (+ 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)))))) (* (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))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (+ 1.0 0)) (sqrt (+ 1.0 0))) (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (cbrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))))) (* (cbrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))))) (* (sqrt (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) 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+nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (fma 5/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (sqrt (sqrt 1.0))) (* 1/4 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) (+ (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0)))))) (* (* +nan.0 (pow x 2)) (- (sqrt (/ 1 (sqrt 1.0))) (sqrt (/ 1 (pow (sqrt 1.0) 5))))))) (+ (- (* (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)))))) 2.574 * * * [progress]: adding candidates to table 3.166 * [progress]: [Phase 3 of 3] Extracting. 3.166 * * [regime]: Finding splitpoints for: (# # # # # # #) 3.168 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.168 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 3.197 * * * [regime]: Found split indices: #