55.719 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.032 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.034 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.035 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.035 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.044 * * * [progress]: generating rewritten candidates 0.044 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.092 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.105 * * * [progress]: generating series expansions 0.106 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.106 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.106 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.106 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.106 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.109 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.109 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.109 * [taylor]: Taking taylor expansion of 1.0 in x 0.111 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.129 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.129 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.130 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.130 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [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 x in x 0.132 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.132 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.132 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.132 * [taylor]: Taking taylor expansion of 1.0 in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.148 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.148 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.148 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.149 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.149 * [taylor]: Taking taylor expansion of 1.0 in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.150 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.150 * [taylor]: Taking taylor expansion of -1 in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.151 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.151 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.153 * [taylor]: Taking taylor expansion of -1 in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.168 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.168 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.168 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.168 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.169 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.178 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.178 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.178 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.179 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.179 * [taylor]: Taking taylor expansion of 1.0 in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.189 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.189 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.189 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.191 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.191 * [taylor]: Taking taylor expansion of 1.0 in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.198 * * * [progress]: simplifying candidates 0.199 * [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))))) 0.205 * * [simplify]: iteration 0 : 299 enodes (cost 1161 ) 0.210 * * [simplify]: iteration 1 : 921 enodes (cost 822 ) 0.234 * * [simplify]: iteration 2 : 5001 enodes (cost 744 ) 0.238 * [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))))) 0.239 * * * [progress]: adding candidates to table 0.365 * * [progress]: iteration 2 / 4 0.366 * * * [progress]: picking best candidate 0.370 * * * * [pick]: Picked # 0.371 * * * [progress]: localizing error 0.377 * * * [progress]: generating rewritten candidates 0.377 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.432 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.467 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.477 * * * [progress]: generating series expansions 0.477 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.478 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.478 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.478 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.478 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.480 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.482 * [taylor]: Taking taylor expansion of 1.0 in x 0.482 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.482 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.482 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.482 * [taylor]: Taking taylor expansion of 1.0 in x 0.484 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.558 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.558 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.558 * [taylor]: Taking taylor expansion of 1.0 in x 0.558 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.558 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.559 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.562 * [taylor]: Taking taylor expansion of 1.0 in x 0.562 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.562 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.563 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.563 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.563 * [taylor]: Taking taylor expansion of 1.0 in x 0.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.563 * [taylor]: Taking taylor expansion of x in x 0.582 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.582 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.582 * [taylor]: Taking taylor expansion of 1.0 in x 0.582 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.582 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.582 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.582 * [taylor]: Taking taylor expansion of -1 in x 0.582 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.583 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.583 * [taylor]: Taking taylor expansion of 1.0 in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.586 * [taylor]: Taking taylor expansion of 1.0 in x 0.586 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.586 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.586 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.586 * [taylor]: Taking taylor expansion of -1 in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.587 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.606 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.606 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.606 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.606 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.606 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of 1.0 in x 0.608 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.609 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.609 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of 1.0 in x 0.617 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.617 * [taylor]: Taking taylor expansion of x in x 0.634 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.635 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.635 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.636 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.636 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.636 * [taylor]: Taking taylor expansion of 1.0 in x 0.636 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.636 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.637 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.638 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.638 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.638 * [taylor]: Taking taylor expansion of 1.0 in x 0.638 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.638 * [taylor]: Taking taylor expansion of x in x 0.651 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.651 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.651 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.651 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.651 * [taylor]: Taking taylor expansion of -1 in x 0.651 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.653 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.653 * [taylor]: Taking taylor expansion of 1.0 in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.654 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.654 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.654 * [taylor]: Taking taylor expansion of -1 in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.655 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.655 * [taylor]: Taking taylor expansion of 1.0 in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.670 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.670 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.670 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.670 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.670 * [taylor]: Taking taylor expansion of x in x 0.670 * [taylor]: Taking taylor expansion of 1.0 in x 0.672 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.672 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.672 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of 1.0 in x 0.680 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.680 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.680 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.680 * [taylor]: Taking taylor expansion of 1.0 in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.681 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.681 * [taylor]: Taking taylor expansion of 1.0 in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.688 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.688 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.688 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.688 * [taylor]: Taking taylor expansion of 1.0 in x 0.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.688 * [taylor]: Taking taylor expansion of x in x 0.690 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.690 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.690 * [taylor]: Taking taylor expansion of 1.0 in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.697 * * * [progress]: simplifying candidates 0.698 * [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))))) 0.711 * * [simplify]: iteration 0 : 409 enodes (cost 789 ) 0.719 * * [simplify]: iteration 1 : 1675 enodes (cost 716 ) 0.750 * * [simplify]: iteration 2 : 5001 enodes (cost 675 ) 0.755 * [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))))) 0.755 * * * [progress]: adding candidates to table 0.958 * * [progress]: iteration 3 / 4 0.958 * * * [progress]: picking best candidate 0.984 * * * * [pick]: Picked # 0.984 * * * [progress]: localizing error 0.995 * * * [progress]: generating rewritten candidates 0.995 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.995 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.052 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.052 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.088 * * * [progress]: generating series expansions 1.088 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.089 * [approximate]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in (x) around 0 1.089 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.089 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 1) 1.089 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.089 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.089 * [taylor]: Taking taylor expansion of 1.0 in x 1.089 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.089 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.089 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of 1.0 in x 1.091 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of 1 in x 1.094 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.094 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 1) 1.094 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.094 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.094 * [taylor]: Taking taylor expansion of 1.0 in x 1.094 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.094 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.094 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of 1.0 in x 1.099 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.099 * [taylor]: Taking taylor expansion of x in x 1.102 * [taylor]: Taking taylor expansion of 1 in x 1.305 * [approximate]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in (x) around 0 1.305 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.305 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) 1) 1.305 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.305 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.305 * [taylor]: Taking taylor expansion of 1.0 in x 1.305 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.305 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.306 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.306 * [taylor]: Taking taylor expansion of x in x 1.307 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.307 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.307 * [taylor]: Taking taylor expansion of 1.0 in x 1.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.307 * [taylor]: Taking taylor expansion of x in x 1.309 * [taylor]: Taking taylor expansion of 1 in x 1.310 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.310 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) 1) 1.310 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.310 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.310 * [taylor]: Taking taylor expansion of 1.0 in x 1.310 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.310 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.310 * [taylor]: Taking taylor expansion of x in x 1.311 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.311 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.311 * [taylor]: Taking taylor expansion of 1.0 in x 1.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.311 * [taylor]: Taking taylor expansion of x in x 1.313 * [taylor]: Taking taylor expansion of 1 in x 1.343 * [approximate]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in (x) around 0 1.343 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.343 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) 1) 1.343 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.343 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.343 * [taylor]: Taking taylor expansion of 1.0 in x 1.343 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.343 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.343 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.343 * [taylor]: Taking taylor expansion of -1 in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.344 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.344 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.344 * [taylor]: Taking taylor expansion of 1.0 in x 1.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.344 * [taylor]: Taking taylor expansion of x in x 1.354 * [taylor]: Taking taylor expansion of 1 in x 1.354 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.354 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) 1) 1.354 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.354 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.354 * [taylor]: Taking taylor expansion of 1.0 in x 1.354 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.354 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.354 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.354 * [taylor]: Taking taylor expansion of -1 in x 1.354 * [taylor]: Taking taylor expansion of x in x 1.355 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.355 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.355 * [taylor]: Taking taylor expansion of 1.0 in x 1.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.355 * [taylor]: Taking taylor expansion of x in x 1.358 * [taylor]: Taking taylor expansion of 1 in x 1.387 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.387 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.387 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.387 * [taylor]: Taking taylor expansion of 1.0 in x 1.387 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.387 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.387 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.387 * [taylor]: Taking taylor expansion of 1.0 in x 1.389 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.389 * [taylor]: Taking taylor expansion of x in x 1.391 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.391 * [taylor]: Taking taylor expansion of 1.0 in x 1.391 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.391 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.391 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.391 * [taylor]: Taking taylor expansion of x in x 1.391 * [taylor]: Taking taylor expansion of 1.0 in x 1.392 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.392 * [taylor]: Taking taylor expansion of x in x 1.467 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.468 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.468 * [taylor]: Taking taylor expansion of 1.0 in x 1.468 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.468 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.468 * [taylor]: Taking taylor expansion of x in x 1.469 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.469 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.469 * [taylor]: Taking taylor expansion of 1.0 in x 1.469 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.469 * [taylor]: Taking taylor expansion of x in x 1.471 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.471 * [taylor]: Taking taylor expansion of 1.0 in x 1.471 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.471 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.471 * [taylor]: Taking taylor expansion of x in x 1.472 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.472 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.472 * [taylor]: Taking taylor expansion of 1.0 in x 1.472 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.472 * [taylor]: Taking taylor expansion of x in x 1.490 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.490 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.490 * [taylor]: Taking taylor expansion of 1.0 in x 1.491 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.491 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.491 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.491 * [taylor]: Taking taylor expansion of -1 in x 1.491 * [taylor]: Taking taylor expansion of x in x 1.492 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.492 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.492 * [taylor]: Taking taylor expansion of 1.0 in x 1.492 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.494 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.494 * [taylor]: Taking taylor expansion of 1.0 in x 1.494 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.494 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.494 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.494 * [taylor]: Taking taylor expansion of -1 in x 1.494 * [taylor]: Taking taylor expansion of x in x 1.495 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.495 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.495 * [taylor]: Taking taylor expansion of 1.0 in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.514 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.521 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 1.521 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.521 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) 1.521 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.521 * [taylor]: Taking taylor expansion of 1 in x 1.521 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.521 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 1) 1.521 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.521 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.521 * [taylor]: Taking taylor expansion of 1.0 in x 1.521 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.521 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.522 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.522 * [taylor]: Taking taylor expansion of x in x 1.522 * [taylor]: Taking taylor expansion of 1.0 in x 1.523 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.526 * [taylor]: Taking taylor expansion of 1 in x 1.530 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.530 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))))) 1.530 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.530 * [taylor]: Taking taylor expansion of 1 in x 1.530 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.530 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) 1) 1.530 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.530 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.530 * [taylor]: Taking taylor expansion of 1.0 in x 1.530 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.530 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.530 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.530 * [taylor]: Taking taylor expansion of x in x 1.530 * [taylor]: Taking taylor expansion of 1.0 in x 1.532 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.532 * [taylor]: Taking taylor expansion of x in x 1.535 * [taylor]: Taking taylor expansion of 1 in x 1.869 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 1.869 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.869 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))) 1.869 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.869 * [taylor]: Taking taylor expansion of 1 in x 1.870 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.870 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) 1) 1.870 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.870 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.870 * [taylor]: Taking taylor expansion of 1.0 in x 1.870 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.870 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.870 * [taylor]: Taking taylor expansion of x in x 1.871 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.871 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.871 * [taylor]: Taking taylor expansion of 1.0 in x 1.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.871 * [taylor]: Taking taylor expansion of x in x 1.874 * [taylor]: Taking taylor expansion of 1 in x 1.875 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.876 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))) 1.876 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.876 * [taylor]: Taking taylor expansion of 1 in x 1.876 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.876 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) 1) 1.876 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.876 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.876 * [taylor]: Taking taylor expansion of 1.0 in x 1.876 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.876 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.876 * [taylor]: Taking taylor expansion of x in x 1.877 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.877 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.877 * [taylor]: Taking taylor expansion of 1.0 in x 1.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.877 * [taylor]: Taking taylor expansion of x in x 1.880 * [taylor]: Taking taylor expansion of 1 in x 1.925 * [approximate]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 1.925 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.925 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))) 1.925 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.925 * [taylor]: Taking taylor expansion of 1 in x 1.925 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.925 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) 1) 1.925 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.925 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.925 * [taylor]: Taking taylor expansion of 1.0 in x 1.925 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.925 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.925 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.925 * [taylor]: Taking taylor expansion of -1 in x 1.925 * [taylor]: Taking taylor expansion of x in x 1.926 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.926 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.926 * [taylor]: Taking taylor expansion of 1.0 in x 1.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.926 * [taylor]: Taking taylor expansion of x in x 1.937 * [taylor]: Taking taylor expansion of 1 in x 1.939 * [taylor]: Taking taylor expansion of (log1p (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.939 * [taylor]: Rewrote expression to (log (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))) 1.939 * [taylor]: Taking taylor expansion of (+ 1 (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.939 * [taylor]: Taking taylor expansion of 1 in x 1.939 * [taylor]: Taking taylor expansion of (expm1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.939 * [taylor]: Rewrote expression to (- (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) 1) 1.939 * [taylor]: Taking taylor expansion of (exp (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.939 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.939 * [taylor]: Taking taylor expansion of 1.0 in x 1.939 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.939 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.939 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.939 * [taylor]: Taking taylor expansion of -1 in x 1.939 * [taylor]: Taking taylor expansion of x in x 1.941 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.941 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.941 * [taylor]: Taking taylor expansion of 1.0 in x 1.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.941 * [taylor]: Taking taylor expansion of x in x 1.943 * [taylor]: Taking taylor expansion of 1 in x 1.989 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.989 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 1.989 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.989 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.989 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.989 * [taylor]: Taking taylor expansion of x in x 1.989 * [taylor]: Taking taylor expansion of 1.0 in x 1.991 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.991 * [taylor]: Taking taylor expansion of x in x 1.992 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.992 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.992 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.992 * [taylor]: Taking taylor expansion of x in x 1.992 * [taylor]: Taking taylor expansion of 1.0 in x 1.994 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.994 * [taylor]: Taking taylor expansion of x in x 2.011 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 2.011 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.011 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.011 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.011 * [taylor]: Taking taylor expansion of x in x 2.012 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.012 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.012 * [taylor]: Taking taylor expansion of 1.0 in x 2.012 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.012 * [taylor]: Taking taylor expansion of x in x 2.014 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.014 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.014 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.014 * [taylor]: Taking taylor expansion of x in x 2.015 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.015 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.015 * [taylor]: Taking taylor expansion of 1.0 in x 2.015 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.015 * [taylor]: Taking taylor expansion of x in x 2.036 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 2.036 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.036 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.036 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.036 * [taylor]: Taking taylor expansion of -1 in x 2.036 * [taylor]: Taking taylor expansion of x in x 2.037 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.037 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.037 * [taylor]: Taking taylor expansion of 1.0 in x 2.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.037 * [taylor]: Taking taylor expansion of x in x 2.039 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.039 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.039 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.039 * [taylor]: Taking taylor expansion of -1 in x 2.039 * [taylor]: Taking taylor expansion of x in x 2.040 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.040 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.040 * [taylor]: Taking taylor expansion of 1.0 in x 2.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.040 * [taylor]: Taking taylor expansion of x in x 2.054 * * * [progress]: simplifying candidates 2.056 * [simplify]: Simplifying using # : (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (expm1 (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (exp (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (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)) (+ 1 (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (expm1 (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log1p (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (exp (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))))) (cbrt (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (* (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (log1p (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (log1p (expm1 (/ (+ 1.0 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))) (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)) (- (+ (exp (/ 1.0 (sqrt 1.0))) (* 0.125 (/ (* (pow x 2) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 6)))) (+ 1 (- (* 0.5 (/ (* x (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (* (pow x 2) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (/ (* (pow x 2) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ (* (pow x 2) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 5))) (- (+ (* +nan.0 (/ (* (pow x 2) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ (* x (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 2)))))))))))))) (- (exp +nan.0) (+ 1 (- (+ (* +nan.0 (/ (exp +nan.0) (pow x 2))) (- (* +nan.0 (/ (exp +nan.0) x))))))) (- (exp +nan.0) (+ 1 (- (+ (* +nan.0 (/ (exp +nan.0) (pow x 2))) (- (* +nan.0 (/ (exp +nan.0) x))))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (* 1.0 (/ 1 (sqrt 1.0))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 5))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (+ (* +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))))) 2.064 * * [simplify]: iteration 0 : 542 enodes (cost 1045 ) 2.075 * * [simplify]: iteration 1 : 2186 enodes (cost 929 ) 2.115 * * [simplify]: iteration 2 : 5002 enodes (cost 899 ) 2.120 * [simplify]: Simplified to: (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (expm1 (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (log (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (exp (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (pow (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (sqrt (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (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))) (+ 1 (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (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)))) (exp (/ (+ 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))))) (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)))) (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))) (+ x (- 1.0 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)) (- (- (fma 0.125 (/ (* (pow x 2) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 6)) (exp (/ 1.0 (sqrt 1.0)))) (- (- (- (* 0.5 (/ (* x (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 3))) (* +nan.0 (/ (* (pow x 2) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 2)))) (/ (- (* +nan.0 (* (pow x 2) (exp (/ 1.0 (sqrt 1.0)))))) (* 1.0 1.0))) (- (- (* +nan.0 (/ (* (pow x 2) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 5))) (* +nan.0 (/ (* (pow x 2) (exp (/ 1.0 (sqrt 1.0)))) (pow (sqrt 1.0) 3)))) (/ (- (* +nan.0 (* x (exp (/ 1.0 (sqrt 1.0)))))) 1.0)))) 1) (+ (expm1 +nan.0) (* +nan.0 (- (/ (exp +nan.0) (pow x 2)) (/ (exp +nan.0) x)))) (+ (expm1 +nan.0) (* +nan.0 (- (/ (exp +nan.0) (pow x 2)) (/ (exp +nan.0) x)))) (+ (- (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))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (* 1.0 (/ 1 (sqrt 1.0))) (fma +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 5)) (* 0.5 (/ x (pow (sqrt 1.0) 3))))) (+ (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (* (- +nan.0) (* (/ x 1.0) (/ x 1.0)))) (* +nan.0 (- (/ x (pow (sqrt 1.0) 2)) (/ (pow x 2) (pow (sqrt 1.0) 3)))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +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)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) 2.121 * * * [progress]: adding candidates to table 2.387 * * [progress]: iteration 4 / 4 2.387 * * * [progress]: picking best candidate 2.405 * * * * [pick]: Picked # 2.406 * * * [progress]: localizing error 2.416 * * * [progress]: generating rewritten candidates 2.416 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 2.473 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.473 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 2.508 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.511 * * * [progress]: generating series expansions 2.511 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 2.512 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.512 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.512 * [taylor]: Taking taylor expansion of 1.0 in x 2.512 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.512 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.512 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.512 * [taylor]: Taking taylor expansion of x in x 2.512 * [taylor]: Taking taylor expansion of 1.0 in x 2.514 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.514 * [taylor]: Taking taylor expansion of x in x 2.516 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.516 * [taylor]: Taking taylor expansion of 1.0 in x 2.516 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.516 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.516 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.516 * [taylor]: Taking taylor expansion of x in x 2.516 * [taylor]: Taking taylor expansion of 1.0 in x 2.518 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.518 * [taylor]: Taking taylor expansion of x in x 2.595 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.595 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.595 * [taylor]: Taking taylor expansion of 1.0 in x 2.595 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.595 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.595 * [taylor]: Taking taylor expansion of x in x 2.596 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.596 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.596 * [taylor]: Taking taylor expansion of 1.0 in x 2.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.596 * [taylor]: Taking taylor expansion of x in x 2.599 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.599 * [taylor]: Taking taylor expansion of 1.0 in x 2.599 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.599 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.599 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.599 * [taylor]: Taking taylor expansion of x in x 2.600 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.600 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.600 * [taylor]: Taking taylor expansion of 1.0 in x 2.600 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.600 * [taylor]: Taking taylor expansion of x in x 2.619 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.619 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.619 * [taylor]: Taking taylor expansion of 1.0 in x 2.619 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.619 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.619 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.619 * [taylor]: Taking taylor expansion of -1 in x 2.619 * [taylor]: Taking taylor expansion of x in x 2.620 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.620 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.620 * [taylor]: Taking taylor expansion of 1.0 in x 2.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.620 * [taylor]: Taking taylor expansion of x in x 2.622 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.622 * [taylor]: Taking taylor expansion of 1.0 in x 2.622 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.622 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.622 * [taylor]: Taking taylor expansion of -1 in x 2.622 * [taylor]: Taking taylor expansion of x in x 2.624 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.624 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.624 * [taylor]: Taking taylor expansion of 1.0 in x 2.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.624 * [taylor]: Taking taylor expansion of x in x 2.643 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.643 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 2.643 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.643 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 1) 2.643 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.643 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.643 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 2.643 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.643 * [taylor]: Taking taylor expansion of 1 in x 2.643 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.643 * [taylor]: Taking taylor expansion of 1.0 in x 2.643 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.643 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.643 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.643 * [taylor]: Taking taylor expansion of x in x 2.643 * [taylor]: Taking taylor expansion of 1.0 in x 2.645 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.645 * [taylor]: Taking taylor expansion of x in x 2.652 * [taylor]: Taking taylor expansion of 1 in x 2.652 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.652 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 1) 2.652 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.652 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.652 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 2.652 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.652 * [taylor]: Taking taylor expansion of 1 in x 2.652 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.652 * [taylor]: Taking taylor expansion of 1.0 in x 2.652 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.652 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.652 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.652 * [taylor]: Taking taylor expansion of x in x 2.652 * [taylor]: Taking taylor expansion of 1.0 in x 2.654 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.654 * [taylor]: Taking taylor expansion of x in x 2.661 * [taylor]: Taking taylor expansion of 1 in x 3.317 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 3.317 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 3.317 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 1) 3.317 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 3.317 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.317 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 3.317 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.317 * [taylor]: Taking taylor expansion of 1 in x 3.317 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.317 * [taylor]: Taking taylor expansion of 1.0 in x 3.317 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.317 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.317 * [taylor]: Taking taylor expansion of x in x 3.319 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.319 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.319 * [taylor]: Taking taylor expansion of 1.0 in x 3.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.319 * [taylor]: Taking taylor expansion of x in x 3.322 * [taylor]: Taking taylor expansion of 1 in x 3.322 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 3.322 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 1) 3.322 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 3.323 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.323 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 3.323 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.323 * [taylor]: Taking taylor expansion of 1 in x 3.323 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.323 * [taylor]: Taking taylor expansion of 1.0 in x 3.323 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.323 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.323 * [taylor]: Taking taylor expansion of x in x 3.324 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.324 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.324 * [taylor]: Taking taylor expansion of 1.0 in x 3.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.324 * [taylor]: Taking taylor expansion of x in x 3.327 * [taylor]: Taking taylor expansion of 1 in x 3.367 * [approximate]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 3.367 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 3.367 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 1) 3.367 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 3.367 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.367 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 3.367 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.367 * [taylor]: Taking taylor expansion of 1 in x 3.367 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.367 * [taylor]: Taking taylor expansion of 1.0 in x 3.367 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.367 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.367 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.367 * [taylor]: Taking taylor expansion of -1 in x 3.367 * [taylor]: Taking taylor expansion of x in x 3.368 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.368 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.368 * [taylor]: Taking taylor expansion of 1.0 in x 3.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.368 * [taylor]: Taking taylor expansion of x in x 3.372 * [taylor]: Taking taylor expansion of 1 in x 3.372 * [taylor]: Taking taylor expansion of (expm1 (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 3.372 * [taylor]: Rewrote expression to (- (exp (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 1) 3.372 * [taylor]: Taking taylor expansion of (exp (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 3.372 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.372 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 3.372 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.372 * [taylor]: Taking taylor expansion of 1 in x 3.372 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.372 * [taylor]: Taking taylor expansion of 1.0 in x 3.372 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.372 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.372 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.372 * [taylor]: Taking taylor expansion of -1 in x 3.372 * [taylor]: Taking taylor expansion of x in x 3.373 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.373 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.373 * [taylor]: Taking taylor expansion of 1.0 in x 3.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.373 * [taylor]: Taking taylor expansion of x in x 3.377 * [taylor]: Taking taylor expansion of 1 in x 3.422 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 3.422 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 3.422 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.422 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.422 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.422 * [taylor]: Taking taylor expansion of x in x 3.422 * [taylor]: Taking taylor expansion of 1.0 in x 3.424 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.424 * [taylor]: Taking taylor expansion of x in x 3.425 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.425 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.425 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.425 * [taylor]: Taking taylor expansion of x in x 3.425 * [taylor]: Taking taylor expansion of 1.0 in x 3.426 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.426 * [taylor]: Taking taylor expansion of x in x 3.443 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 3.443 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.443 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.443 * [taylor]: Taking taylor expansion of x in x 3.444 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.444 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.444 * [taylor]: Taking taylor expansion of 1.0 in x 3.444 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.444 * [taylor]: Taking taylor expansion of x in x 3.445 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.445 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.446 * [taylor]: Taking taylor expansion of x in x 3.447 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.447 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.447 * [taylor]: Taking taylor expansion of 1.0 in x 3.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.447 * [taylor]: Taking taylor expansion of x in x 3.459 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 3.459 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.459 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.459 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.459 * [taylor]: Taking taylor expansion of -1 in x 3.459 * [taylor]: Taking taylor expansion of x in x 3.460 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.460 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.460 * [taylor]: Taking taylor expansion of 1.0 in x 3.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.460 * [taylor]: Taking taylor expansion of x in x 3.462 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.462 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.462 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.462 * [taylor]: Taking taylor expansion of -1 in x 3.462 * [taylor]: Taking taylor expansion of x in x 3.463 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.463 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.463 * [taylor]: Taking taylor expansion of 1.0 in x 3.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.463 * [taylor]: Taking taylor expansion of x in x 3.484 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.484 * [approximate]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in (x) around 0 3.484 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.484 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 3.484 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.484 * [taylor]: Taking taylor expansion of 1 in x 3.484 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.484 * [taylor]: Taking taylor expansion of 1.0 in x 3.484 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.484 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.484 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.484 * [taylor]: Taking taylor expansion of x in x 3.484 * [taylor]: Taking taylor expansion of 1.0 in x 3.486 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.486 * [taylor]: Taking taylor expansion of x in x 3.490 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.490 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))))) 3.490 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.490 * [taylor]: Taking taylor expansion of 1 in x 3.490 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.490 * [taylor]: Taking taylor expansion of 1.0 in x 3.490 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.490 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.490 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.490 * [taylor]: Taking taylor expansion of x in x 3.490 * [taylor]: Taking taylor expansion of 1.0 in x 3.492 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.492 * [taylor]: Taking taylor expansion of x in x 3.828 * [approximate]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in (x) around 0 3.828 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.828 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 3.828 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.828 * [taylor]: Taking taylor expansion of 1 in x 3.828 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.828 * [taylor]: Taking taylor expansion of 1.0 in x 3.828 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.828 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.828 * [taylor]: Taking taylor expansion of x in x 3.829 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.829 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.829 * [taylor]: Taking taylor expansion of 1.0 in x 3.829 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.829 * [taylor]: Taking taylor expansion of x in x 3.832 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.832 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) 3.832 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.832 * [taylor]: Taking taylor expansion of 1 in x 3.832 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.832 * [taylor]: Taking taylor expansion of 1.0 in x 3.832 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.832 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.832 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.832 * [taylor]: Taking taylor expansion of x in x 3.833 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.833 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.833 * [taylor]: Taking taylor expansion of 1.0 in x 3.833 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.833 * [taylor]: Taking taylor expansion of x in x 3.866 * [approximate]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in (x) around 0 3.866 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.866 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 3.866 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.866 * [taylor]: Taking taylor expansion of 1 in x 3.866 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.866 * [taylor]: Taking taylor expansion of 1.0 in x 3.866 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.866 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.866 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.866 * [taylor]: Taking taylor expansion of -1 in x 3.866 * [taylor]: Taking taylor expansion of x in x 3.867 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.867 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.867 * [taylor]: Taking taylor expansion of 1.0 in x 3.867 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.867 * [taylor]: Taking taylor expansion of x in x 3.870 * [taylor]: Taking taylor expansion of (log1p (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.870 * [taylor]: Rewrote expression to (log (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) 3.871 * [taylor]: Taking taylor expansion of (+ 1 (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.871 * [taylor]: Taking taylor expansion of 1 in x 3.871 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.871 * [taylor]: Taking taylor expansion of 1.0 in x 3.871 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.871 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.871 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.871 * [taylor]: Taking taylor expansion of -1 in x 3.871 * [taylor]: Taking taylor expansion of x in x 3.879 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.879 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.879 * [taylor]: Taking taylor expansion of 1.0 in x 3.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.879 * [taylor]: Taking taylor expansion of x in x 3.912 * * * [progress]: simplifying candidates 3.914 * [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 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(log (- +nan.0)) (/ (- +nan.0) x)) (* +nan.0 (/ 1 (pow x 2)))) (- (- (log (- +nan.0)) (/ (- +nan.0) x)) (* +nan.0 (/ 1 (pow x 2)))) 3.984 * * * [progress]: adding candidates to table 4.266 * [progress]: [Phase 3 of 3] Extracting. 4.266 * * [regime]: Finding splitpoints for: (# # # # # # # #) 4.267 * * * [regime-changes]: Trying 1 branch expressions: (x) 4.267 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 4.301 * * * [regime]: Found split indices: #