9.864 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.029 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.030 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.031 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.032 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.070 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.079 * * * [progress]: generating series expansions 0.079 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.079 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.079 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.079 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.079 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.082 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.104 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.104 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.104 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.105 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.105 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.126 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.126 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.126 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.128 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.128 * [taylor]: Taking taylor expansion of -1 in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.129 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.129 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.129 * [taylor]: Taking taylor expansion of 1.0 in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.131 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.131 * [taylor]: Taking taylor expansion of -1 in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.147 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.147 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.147 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.148 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of 1.0 in x 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.149 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.165 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.165 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.166 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.167 * [taylor]: Taking taylor expansion of 1.0 in x 0.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.167 * [taylor]: Taking taylor expansion of x in x 0.174 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.174 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.174 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.176 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of 1.0 in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.184 * * * [progress]: simplifying candidates 0.186 * [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)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.192 * * [simplify]: iteration 0 : 299 enodes (cost 1161 ) 0.197 * * [simplify]: iteration 1 : 921 enodes (cost 822 ) 0.219 * * [simplify]: iteration 2 : 5001 enodes (cost 744 ) 0.223 * [simplify]: Simplified to: (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (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)))) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) 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(sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (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)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (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)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (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)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (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)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (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)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (- (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))))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (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))))) 0.224 * * * [progress]: adding candidates to table 0.349 * * [progress]: iteration 2 / 4 0.349 * * * [progress]: picking best candidate 0.354 * * * * [pick]: Picked # 0.354 * * * [progress]: localizing error 0.361 * * * [progress]: generating rewritten candidates 0.361 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.394 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.413 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.420 * * * [progress]: generating series expansions 0.420 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.421 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.421 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.421 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.421 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.421 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of 1.0 in x 0.423 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.423 * [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 0.506 * [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 0.539 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.539 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.539 * [taylor]: Taking taylor expansion of 1.0 in x 0.539 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.539 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.539 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.539 * [taylor]: Taking taylor expansion of -1 in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.541 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.541 * [taylor]: Taking taylor expansion of 1.0 in x 0.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.543 * [taylor]: Taking taylor expansion of 1.0 in x 0.543 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.543 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.543 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.543 * [taylor]: Taking taylor expansion of -1 in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.545 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.565 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.565 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.565 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.565 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.565 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of 1.0 in x 0.567 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.567 * [taylor]: Taking taylor expansion of x in x 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 0.570 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.589 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.589 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.589 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.590 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.590 * [taylor]: Taking taylor expansion of 1.0 in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.593 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.593 * [taylor]: Taking taylor expansion of 1.0 in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.607 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.607 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.607 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.607 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.607 * [taylor]: Taking taylor expansion of -1 in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.608 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.608 * [taylor]: Taking taylor expansion of 1.0 in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.610 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.610 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.610 * [taylor]: Taking taylor expansion of -1 in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.617 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.617 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.617 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.632 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.633 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.633 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.633 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.633 * [taylor]: Taking taylor expansion of x in x 0.633 * [taylor]: Taking taylor expansion of 1.0 in x 0.634 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.634 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.634 * [taylor]: Taking taylor expansion of 1.0 in x 0.643 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.643 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.643 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.643 * [taylor]: Taking taylor expansion of 1.0 in x 0.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.645 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.645 * [taylor]: Taking taylor expansion of 1.0 in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.652 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.652 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.652 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.652 * [taylor]: Taking taylor expansion of 1.0 in x 0.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.654 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.654 * [taylor]: Taking taylor expansion of 1.0 in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.662 * * * [progress]: simplifying candidates 0.663 * [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)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.669 * * [simplify]: iteration 0 : 409 enodes (cost 789 ) 0.677 * * [simplify]: iteration 1 : 1675 enodes (cost 716 ) 0.708 * * [simplify]: iteration 2 : 5001 enodes (cost 675 ) 0.711 * [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)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (- (fma 1.0 (/ 1 (sqrt 1.0)) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (fma +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)) 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))))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (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))))) 0.712 * * * [progress]: adding candidates to table 0.907 * * [progress]: iteration 3 / 4 0.907 * * * [progress]: picking best candidate 0.920 * * * * [pick]: Picked # 0.920 * * * [progress]: localizing error 0.930 * * * [progress]: generating rewritten candidates 0.930 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.942 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.942 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.947 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.954 * * * [progress]: generating series expansions 0.954 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.955 * [approximate]: Taking taylor expansion of (/ 1.0 (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x))) in (x) around 0 0.955 * [taylor]: Taking taylor expansion of (/ 1.0 (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x))) in x 0.955 * [taylor]: Taking taylor expansion of 1.0 in x 0.955 * [taylor]: Taking taylor expansion of (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x)) in x 0.955 * [taylor]: Rewrote expression to (+ (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) (sqrt x)) 0.955 * [taylor]: Taking taylor expansion of (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) in x 0.955 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 0.955 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 0.955 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 0.955 * [taylor]: Taking taylor expansion of 1/4 in x 0.955 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.955 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of 1.0 in x 0.958 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 0.958 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 0.958 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 0.958 * [taylor]: Taking taylor expansion of 1/4 in x 0.958 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.958 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of 1.0 in x 0.960 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (/ 1.0 (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x))) in x 0.963 * [taylor]: Taking taylor expansion of 1.0 in x 0.963 * [taylor]: Taking taylor expansion of (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x)) in x 0.964 * [taylor]: Rewrote expression to (+ (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) (sqrt x)) 0.964 * [taylor]: Taking taylor expansion of (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) in x 0.964 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 0.964 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 0.964 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 0.964 * [taylor]: Taking taylor expansion of 1/4 in x 0.964 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.964 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.964 * [taylor]: Taking taylor expansion of 1.0 in x 0.966 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 0.966 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 0.966 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 0.966 * [taylor]: Taking taylor expansion of 1/4 in x 0.966 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.966 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [taylor]: Taking taylor expansion of 1.0 in x 0.968 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.968 * [taylor]: Taking taylor expansion of x in x 1.113 * [approximate]: Taking taylor expansion of (/ 1.0 (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x)))) in (x) around 0 1.113 * [taylor]: Taking taylor expansion of (/ 1.0 (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x)))) in x 1.113 * [taylor]: Taking taylor expansion of 1.0 in x 1.113 * [taylor]: Taking taylor expansion of (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x))) in x 1.114 * [taylor]: Rewrote expression to (+ (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) (sqrt (/ 1 x))) 1.114 * [taylor]: Taking taylor expansion of (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) in x 1.114 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.114 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.114 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.114 * [taylor]: Taking taylor expansion of 1/4 in x 1.114 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.114 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.114 * [taylor]: Taking taylor expansion of 1.0 in x 1.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.115 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.115 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.115 * [taylor]: Taking taylor expansion of 1/4 in x 1.115 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.115 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.115 * [taylor]: Taking taylor expansion of 1.0 in x 1.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.117 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.117 * [taylor]: Taking taylor expansion of x in x 1.118 * [taylor]: Taking taylor expansion of (/ 1.0 (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x)))) in x 1.118 * [taylor]: Taking taylor expansion of 1.0 in x 1.118 * [taylor]: Taking taylor expansion of (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x))) in x 1.119 * [taylor]: Rewrote expression to (+ (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) (sqrt (/ 1 x))) 1.119 * [taylor]: Taking taylor expansion of (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) in x 1.119 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.119 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.119 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.119 * [taylor]: Taking taylor expansion of 1/4 in x 1.119 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.119 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.119 * [taylor]: Taking taylor expansion of 1.0 in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.120 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.120 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.120 * [taylor]: Taking taylor expansion of 1/4 in x 1.120 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.120 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.169 * [approximate]: Taking taylor expansion of (/ 1.0 (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x)))) in (x) around 0 1.169 * [taylor]: Taking taylor expansion of (/ 1.0 (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x)))) in x 1.169 * [taylor]: Taking taylor expansion of 1.0 in x 1.169 * [taylor]: Taking taylor expansion of (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x))) in x 1.169 * [taylor]: Rewrote expression to (+ (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) (sqrt (/ -1 x))) 1.169 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) in x 1.169 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.169 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.169 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.169 * [taylor]: Taking taylor expansion of 1/4 in x 1.169 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.169 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.169 * [taylor]: Taking taylor expansion of 1.0 in x 1.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.169 * [taylor]: Taking taylor expansion of x in x 1.172 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.172 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.172 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.172 * [taylor]: Taking taylor expansion of 1/4 in x 1.172 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.172 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.172 * [taylor]: Taking taylor expansion of 1.0 in x 1.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.174 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.174 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.174 * [taylor]: Taking taylor expansion of -1 in x 1.174 * [taylor]: Taking taylor expansion of x in x 1.177 * [taylor]: Taking taylor expansion of (/ 1.0 (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x)))) in x 1.177 * [taylor]: Taking taylor expansion of 1.0 in x 1.177 * [taylor]: Taking taylor expansion of (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x))) in x 1.177 * [taylor]: Rewrote expression to (+ (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) (sqrt (/ -1 x))) 1.177 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) in x 1.177 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.177 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.177 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.177 * [taylor]: Taking taylor expansion of 1/4 in x 1.177 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.177 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.177 * [taylor]: Taking taylor expansion of 1.0 in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.179 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.179 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.179 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.179 * [taylor]: Taking taylor expansion of 1/4 in x 1.179 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.179 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.179 * [taylor]: Taking taylor expansion of 1.0 in x 1.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.181 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.181 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.181 * [taylor]: Taking taylor expansion of -1 in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.258 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.259 * [approximate]: Taking taylor expansion of (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x)) in (x) around 0 1.259 * [taylor]: Taking taylor expansion of (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x)) in x 1.259 * [taylor]: Rewrote expression to (+ (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) (sqrt x)) 1.259 * [taylor]: Taking taylor expansion of (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) in x 1.259 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.259 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.259 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.259 * [taylor]: Taking taylor expansion of 1/4 in x 1.259 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.259 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.259 * [taylor]: Taking taylor expansion of x in x 1.259 * [taylor]: Taking taylor expansion of 1.0 in x 1.261 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.261 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.261 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.261 * [taylor]: Taking taylor expansion of 1/4 in x 1.261 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.261 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.261 * [taylor]: Taking taylor expansion of x in x 1.261 * [taylor]: Taking taylor expansion of 1.0 in x 1.263 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.264 * [taylor]: Taking taylor expansion of (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x)) in x 1.265 * [taylor]: Rewrote expression to (+ (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) (sqrt x)) 1.265 * [taylor]: Taking taylor expansion of (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) in x 1.265 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.265 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.265 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.265 * [taylor]: Taking taylor expansion of 1/4 in x 1.265 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.265 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.265 * [taylor]: Taking taylor expansion of x in x 1.265 * [taylor]: Taking taylor expansion of 1.0 in x 1.267 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.267 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.267 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.267 * [taylor]: Taking taylor expansion of 1/4 in x 1.267 * [taylor]: Taking taylor expansion of (log (+ 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 1.357 * [approximate]: Taking taylor expansion of (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x))) in (x) around 0 1.357 * [taylor]: Taking taylor expansion of (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x))) in x 1.357 * [taylor]: Rewrote expression to (+ (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) (sqrt (/ 1 x))) 1.357 * [taylor]: Taking taylor expansion of (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) in x 1.357 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.357 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.357 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.357 * [taylor]: Taking taylor expansion of 1/4 in x 1.357 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.357 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.357 * [taylor]: Taking taylor expansion of 1.0 in x 1.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.358 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.358 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.358 * [taylor]: Taking taylor expansion of 1/4 in x 1.358 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.358 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.358 * [taylor]: Taking taylor expansion of 1.0 in x 1.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.358 * [taylor]: Taking taylor expansion of x in x 1.359 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.359 * [taylor]: Taking taylor expansion of x in x 1.361 * [taylor]: Taking taylor expansion of (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x))) in x 1.361 * [taylor]: Rewrote expression to (+ (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) (sqrt (/ 1 x))) 1.361 * [taylor]: Taking taylor expansion of (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) in x 1.361 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.361 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.361 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.361 * [taylor]: Taking taylor expansion of 1/4 in x 1.361 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.361 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.361 * [taylor]: Taking taylor expansion of 1.0 in x 1.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.361 * [taylor]: Taking taylor expansion of x in x 1.368 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.368 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.368 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.368 * [taylor]: Taking taylor expansion of 1/4 in x 1.369 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.369 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.369 * [taylor]: Taking taylor expansion of 1.0 in x 1.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.369 * [taylor]: Taking taylor expansion of x in x 1.370 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.370 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.370 * [taylor]: Taking taylor expansion of x in x 1.412 * [approximate]: Taking taylor expansion of (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x))) in (x) around 0 1.412 * [taylor]: Taking taylor expansion of (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x))) in x 1.412 * [taylor]: Rewrote expression to (+ (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) (sqrt (/ -1 x))) 1.412 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) in x 1.412 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.412 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.412 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.412 * [taylor]: Taking taylor expansion of 1/4 in x 1.412 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.412 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.412 * [taylor]: Taking taylor expansion of 1.0 in x 1.412 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.412 * [taylor]: Taking taylor expansion of x in x 1.414 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.415 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.415 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.415 * [taylor]: Taking taylor expansion of 1/4 in x 1.415 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.415 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.415 * [taylor]: Taking taylor expansion of 1.0 in x 1.415 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.415 * [taylor]: Taking taylor expansion of x in x 1.417 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.417 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.417 * [taylor]: Taking taylor expansion of -1 in x 1.417 * [taylor]: Taking taylor expansion of x in x 1.418 * [taylor]: Taking taylor expansion of (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x))) in x 1.418 * [taylor]: Rewrote expression to (+ (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) (sqrt (/ -1 x))) 1.418 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) in x 1.418 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.418 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.418 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.418 * [taylor]: Taking taylor expansion of 1/4 in x 1.418 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.418 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.418 * [taylor]: Taking taylor expansion of 1.0 in x 1.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.418 * [taylor]: Taking taylor expansion of x in x 1.420 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.420 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.420 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.420 * [taylor]: Taking taylor expansion of 1/4 in x 1.420 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.420 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.420 * [taylor]: Taking taylor expansion of 1.0 in x 1.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.421 * [taylor]: Taking taylor expansion of x in x 1.423 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.423 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.423 * [taylor]: Taking taylor expansion of -1 in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.485 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 1.485 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 1.485 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.485 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.485 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.485 * [taylor]: Taking taylor expansion of 1/4 in x 1.485 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.485 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.485 * [taylor]: Taking taylor expansion of x in x 1.485 * [taylor]: Taking taylor expansion of 1.0 in x 1.487 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.487 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.487 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.487 * [taylor]: Taking taylor expansion of 1/4 in x 1.487 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.487 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.487 * [taylor]: Taking taylor expansion of 1.0 in x 1.521 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 1.521 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.521 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.521 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.521 * [taylor]: Taking taylor expansion of 1/4 in x 1.521 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.521 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.521 * [taylor]: Taking taylor expansion of 1.0 in x 1.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.521 * [taylor]: Taking taylor expansion of x in x 1.523 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.523 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.523 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.523 * [taylor]: Taking taylor expansion of 1/4 in x 1.523 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.523 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.523 * [taylor]: Taking taylor expansion of 1.0 in x 1.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.548 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 1.549 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.549 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.549 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.549 * [taylor]: Taking taylor expansion of 1/4 in x 1.549 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.549 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.549 * [taylor]: Taking taylor expansion of 1.0 in x 1.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.549 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.551 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.551 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.551 * [taylor]: Taking taylor expansion of 1/4 in x 1.551 * [taylor]: Taking taylor expansion of (log (- 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 1.575 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.576 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 1.576 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.576 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.576 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.576 * [taylor]: Taking taylor expansion of 1/4 in x 1.576 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.576 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.576 * [taylor]: Taking taylor expansion of x in x 1.576 * [taylor]: Taking taylor expansion of 1.0 in x 1.578 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.578 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.578 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.578 * [taylor]: Taking taylor expansion of 1/4 in x 1.578 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.578 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.578 * [taylor]: Taking taylor expansion of x in x 1.578 * [taylor]: Taking taylor expansion of 1.0 in x 1.612 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 1.612 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.612 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.612 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.612 * [taylor]: Taking taylor expansion of 1/4 in x 1.612 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.612 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.612 * [taylor]: Taking taylor expansion of 1.0 in x 1.612 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.612 * [taylor]: Taking taylor expansion of x in x 1.613 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.613 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.613 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.613 * [taylor]: Taking taylor expansion of 1/4 in x 1.613 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.613 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.613 * [taylor]: Taking taylor expansion of 1.0 in x 1.613 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.613 * [taylor]: Taking taylor expansion of x in x 1.638 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 1.638 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.638 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.638 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.638 * [taylor]: Taking taylor expansion of 1/4 in x 1.638 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.638 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.638 * [taylor]: Taking taylor expansion of 1.0 in x 1.638 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.638 * [taylor]: Taking taylor expansion of x in x 1.640 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.641 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.641 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.641 * [taylor]: Taking taylor expansion of 1/4 in x 1.641 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.641 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.641 * [taylor]: Taking taylor expansion of 1.0 in x 1.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.665 * * * [progress]: simplifying candidates 1.667 * [simplify]: Simplifying using # : (expm1 (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (log1p (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (- (log (+ 1.0 0)) (log (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (log (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (exp (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (* (cbrt (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (cbrt (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x))))) (cbrt (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (* (* (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x))) (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (sqrt (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (sqrt (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (- (+ 1.0 0)) (- (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x))) (cbrt (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x))) (/ (sqrt (+ 1.0 0)) (* (cbrt (fma (sqrt (sqrt 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(cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (cbrt (sqrt (sqrt (+ x 1.0)))) (pow (sqrt (sqrt (+ x 1.0))) 3) (fabs (cbrt (sqrt (+ x 1.0)))) (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (- x 1.0))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (+ (- (fma 1.0 (/ 1 (sqrt 1.0)) (fma 0.25 (/ (pow x 2) (* (sqrt 1.0) (pow 1.0 2))) (* 0.125 (/ (pow x 2) (sqrt 1.0))))) (fma +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)) (* 0.5 (/ x (sqrt 1.0))))) (* +nan.0 (- (/ x (pow (sqrt 1.0) 2)) (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (- (fma 0.125 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- (sqrt x) +nan.0) 2))) (fma 1.0 (/ 1 (- (sqrt x) +nan.0)) (* 0.25 (/ 1 (* x (pow (- (sqrt x) +nan.0) 3)))))) (fma (* +nan.0 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow (- (sqrt x) +nan.0) 3)) (* 0.5 (* (sqrt (/ 1 x)) (/ 1 (pow (- (sqrt x) +nan.0) 2)))))) (- (* +nan.0 (/ 1 (* (pow (- (sqrt x) +nan.0) 3) (pow x 2)))) (fma +nan.0 (/ 1 (* (pow (- (sqrt x) +nan.0) 2) (pow x 2))) (- (* +nan.0 (/ 1 (* (pow (- (sqrt x) +nan.0) 2) x))))))) (+ (- (fma 0.125 (/ (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) (* (pow x 2) (pow (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0) 2))) (fma 1.0 (/ 1 (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0)) (* 0.25 (/ (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 4) (* (pow x 2) (pow (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0) 3)))))) (fma +nan.0 (/ (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) (* (pow x 2) (pow (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0) 3))) (* 0.5 (/ (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) (* x (pow (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0) 2)))))) (- (* +nan.0 (/ 1 (* x (pow (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0) 2)))) (fma +nan.0 (/ 1 (* (pow x 2) (pow (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0) 3))) (- (* +nan.0 (/ 1 (* (pow x 2) (pow (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0) 2)))))))) (fma (sqrt 1.0) (+ (* 0.5 x) (* 0.125 (pow x 2))) (- (sqrt 1.0) (fma +nan.0 (pow x 2) (- (* 1/4 (/ (* (pow x 2) (sqrt 1.0)) (pow 1.0 2))) (* +nan.0 x))))) (+ (- (fma 0.5 (sqrt (/ 1 x)) (sqrt x)) (fma +nan.0 (/ 1 (pow x 2)) (* 0.125 (sqrt (/ 1 (pow x 3)))))) (fma +nan.0 (/ 1 x) (- +nan.0))) (+ (- (fma 0.5 (/ (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) x) (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2)) (fma +nan.0 (/ 1 (pow x 2)) (* 0.125 (/ (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) (pow x 2))))) (fma +nan.0 (/ 1 x) (- +nan.0))) (fma (pow 1.0 1/4) (+ (* 0.25 x) (* 0.03125 (pow x 2))) (- (pow 1.0 1/4) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4))))) (fma (pow (/ 1 (pow x 3)) 1/4) 0.25 (- (pow (/ 1 x) -1/4) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4)))) (fma 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x) (- (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2))))) (fma (pow 1.0 1/4) (+ (* 0.25 x) (* 0.03125 (pow x 2))) (- (pow 1.0 1/4) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4))))) (fma (pow (/ 1 (pow x 3)) 1/4) 0.25 (- (pow (/ 1 x) -1/4) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4)))) (fma 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x) (- (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2))))) 1.743 * * * [progress]: adding candidates to table 2.055 * * [progress]: iteration 4 / 4 2.056 * * * [progress]: picking best candidate 2.067 * * * * [pick]: Picked # 2.067 * * * [progress]: localizing error 2.077 * * * [progress]: generating rewritten candidates 2.077 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.165 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.199 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.225 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 2.303 * * * [progress]: generating series expansions 2.304 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.304 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.304 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.304 * [taylor]: Taking taylor expansion of 1.0 in x 2.304 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.305 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.305 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.305 * [taylor]: Taking taylor expansion of x in x 2.305 * [taylor]: Taking taylor expansion of 1.0 in x 2.307 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.307 * [taylor]: Taking taylor expansion of x in x 2.319 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.319 * [taylor]: Taking taylor expansion of 1.0 in x 2.319 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.319 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.319 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.319 * [taylor]: Taking taylor expansion of x in x 2.319 * [taylor]: Taking taylor expansion of 1.0 in x 2.321 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.321 * [taylor]: Taking taylor expansion of x in x 2.404 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.404 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.404 * [taylor]: Taking taylor expansion of 1.0 in x 2.404 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.404 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.404 * [taylor]: Taking taylor expansion of x in x 2.406 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.406 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.406 * [taylor]: Taking taylor expansion of 1.0 in x 2.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.406 * [taylor]: Taking taylor expansion of x in x 2.408 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.408 * [taylor]: Taking taylor expansion of 1.0 in x 2.409 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.409 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.409 * [taylor]: Taking taylor expansion of x in x 2.410 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.410 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.410 * [taylor]: Taking taylor expansion of 1.0 in x 2.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.410 * [taylor]: Taking taylor expansion of x in x 2.431 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.431 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.431 * [taylor]: Taking taylor expansion of 1.0 in x 2.431 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.431 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.431 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.431 * [taylor]: Taking taylor expansion of -1 in x 2.431 * [taylor]: Taking taylor expansion of x in x 2.433 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.433 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.433 * [taylor]: Taking taylor expansion of 1.0 in x 2.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.433 * [taylor]: Taking taylor expansion of x in x 2.435 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.435 * [taylor]: Taking taylor expansion of 1.0 in x 2.435 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.435 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.435 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.435 * [taylor]: Taking taylor expansion of -1 in x 2.435 * [taylor]: Taking taylor expansion of x in x 2.437 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.437 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.437 * [taylor]: Taking taylor expansion of 1.0 in x 2.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.437 * [taylor]: Taking taylor expansion of x in x 2.458 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.458 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 2.458 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.458 * [taylor]: Taking taylor expansion of 1.0 in x 2.458 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.458 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.458 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.458 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.458 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.458 * [taylor]: Taking taylor expansion of x in x 2.458 * [taylor]: Taking taylor expansion of 1.0 in x 2.460 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.460 * [taylor]: Taking taylor expansion of x in x 2.477 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.477 * [taylor]: Taking taylor expansion of 1.0 in x 2.477 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.477 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.477 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.477 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.477 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.477 * [taylor]: Taking taylor expansion of x in x 2.477 * [taylor]: Taking taylor expansion of 1.0 in x 2.478 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.478 * [taylor]: Taking taylor expansion of x in x 2.662 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 2.662 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 2.662 * [taylor]: Taking taylor expansion of 1.0 in x 2.662 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.662 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.662 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.662 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.662 * [taylor]: Taking taylor expansion of x in x 2.663 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.664 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.664 * [taylor]: Taking taylor expansion of 1.0 in x 2.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.664 * [taylor]: Taking taylor expansion of x in x 2.675 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 2.675 * [taylor]: Taking taylor expansion of 1.0 in x 2.675 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.675 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.675 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.675 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.675 * [taylor]: Taking taylor expansion of x in x 2.676 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.676 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.676 * [taylor]: Taking taylor expansion of 1.0 in x 2.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.676 * [taylor]: Taking taylor expansion of x in x 2.721 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 2.721 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 2.721 * [taylor]: Taking taylor expansion of 1.0 in x 2.721 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.721 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.721 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.721 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.721 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.721 * [taylor]: Taking taylor expansion of -1 in x 2.721 * [taylor]: Taking taylor expansion of x in x 2.723 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.723 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.723 * [taylor]: Taking taylor expansion of 1.0 in x 2.723 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.723 * [taylor]: Taking taylor expansion of x in x 2.741 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 2.741 * [taylor]: Taking taylor expansion of 1.0 in x 2.741 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.741 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.741 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.741 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.741 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.741 * [taylor]: Taking taylor expansion of -1 in x 2.741 * [taylor]: Taking taylor expansion of x in x 2.742 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.742 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.742 * [taylor]: Taking taylor expansion of 1.0 in x 2.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.742 * [taylor]: Taking taylor expansion of x in x 2.787 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.787 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.787 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.787 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.787 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.787 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.788 * [taylor]: Taking taylor expansion of x in x 2.788 * [taylor]: Taking taylor expansion of 1.0 in x 2.789 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.789 * [taylor]: Taking taylor expansion of x in x 2.795 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.795 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.795 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.795 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.795 * [taylor]: Taking taylor expansion of x in x 2.795 * [taylor]: Taking taylor expansion of 1.0 in x 2.797 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.797 * [taylor]: Taking taylor expansion of x in x 2.862 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.862 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.862 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.862 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.862 * [taylor]: Taking taylor expansion of x in x 2.864 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 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 2.872 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.872 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.872 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.872 * [taylor]: Taking taylor expansion of x in x 2.874 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.874 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.874 * [taylor]: Taking taylor expansion of 1.0 in x 2.874 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.874 * [taylor]: Taking taylor expansion of x in x 2.908 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.908 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.908 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.908 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.908 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.908 * [taylor]: Taking taylor expansion of -1 in x 2.908 * [taylor]: Taking taylor expansion of x in x 2.910 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.910 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.910 * [taylor]: Taking taylor expansion of 1.0 in x 2.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.910 * [taylor]: Taking taylor expansion of x in x 2.919 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.919 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.919 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.919 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.919 * [taylor]: Taking taylor expansion of -1 in x 2.919 * [taylor]: Taking taylor expansion of x in x 2.920 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.920 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.920 * [taylor]: Taking taylor expansion of 1.0 in x 2.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.920 * [taylor]: Taking taylor expansion of x in x 2.949 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.949 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.949 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.949 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.950 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.950 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.950 * [taylor]: Taking taylor expansion of x in x 2.950 * [taylor]: Taking taylor expansion of 1.0 in x 2.951 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.951 * [taylor]: Taking taylor expansion of x in x 2.957 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.957 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.957 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.957 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.957 * [taylor]: Taking taylor expansion of x in x 2.958 * [taylor]: Taking taylor expansion of 1.0 in x 2.959 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.959 * [taylor]: Taking taylor expansion of x in x 3.027 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 3.027 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.027 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.027 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.027 * [taylor]: Taking taylor expansion of x in x 3.028 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.028 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.028 * [taylor]: Taking taylor expansion of 1.0 in x 3.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.028 * [taylor]: Taking taylor expansion of x in x 3.037 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.037 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 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 x in x 3.038 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.038 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.038 * [taylor]: Taking taylor expansion of 1.0 in x 3.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.038 * [taylor]: Taking taylor expansion of x in x 3.072 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 3.072 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.072 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.072 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.072 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.072 * [taylor]: Taking taylor expansion of -1 in x 3.072 * [taylor]: Taking taylor expansion of x in x 3.074 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.074 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.074 * [taylor]: Taking taylor expansion of 1.0 in x 3.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.074 * [taylor]: Taking taylor expansion of x in x 3.083 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.083 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.083 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.083 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.083 * [taylor]: Taking taylor expansion of -1 in x 3.083 * [taylor]: Taking taylor expansion of x in x 3.084 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 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 3.114 * * * [progress]: simplifying candidates 3.126 * [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 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (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 (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt 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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)))))) 3.279 * * * [progress]: adding candidates to table 3.879 * [progress]: [Phase 3 of 3] Extracting. 3.879 * * [regime]: Finding splitpoints for: (# # # # # # #) 3.881 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.881 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 3.913 * * * [regime]: Found split indices: #