0.239 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.047 * * * [progress]: [2/2] Setting up program. 0.049 * [progress]: [Phase 2 of 3] Improving. 0.049 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.052 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.053 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.054 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.054 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.055 * * [progress]: iteration 1 / 4 0.055 * * * [progress]: picking best candidate 0.056 * * * * [pick]: Picked # 0.056 * * * [progress]: localizing error 0.065 * * * [progress]: generating rewritten candidates 0.065 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.094 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.102 * * * [progress]: generating series expansions 0.102 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.103 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.103 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.103 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.103 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of 1.0 in x 0.105 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.105 * [taylor]: Taking taylor expansion of x in x 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 0.128 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.128 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.128 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.128 * [taylor]: Taking taylor expansion of 1.0 in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.131 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.131 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.154 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.154 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.154 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.154 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.154 * [taylor]: Taking taylor expansion of 1.0 in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.156 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.156 * [taylor]: Taking taylor expansion of -1 in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.158 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.158 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.158 * [taylor]: Taking taylor expansion of 1.0 in x 0.158 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.159 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.159 * [taylor]: Taking taylor expansion of -1 in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.176 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.176 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.176 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.176 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of 1.0 in x 0.178 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.178 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of 1.0 in x 0.187 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.187 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.187 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.187 * [taylor]: Taking taylor expansion of 1.0 in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.187 * [taylor]: Taking taylor expansion of x in x 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 0.196 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.196 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.196 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.196 * [taylor]: Taking taylor expansion of 1.0 in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.198 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.198 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.198 * [taylor]: Taking taylor expansion of 1.0 in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.206 * * * [progress]: simplifying candidates 0.208 * [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))))) 0.214 * * [simplify]: iteration 0 : 299 enodes (cost 1161 ) 0.219 * * [simplify]: iteration 1 : 921 enodes (cost 822 ) 0.242 * * [simplify]: iteration 2 : 5001 enodes (cost 744 ) 0.246 * [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))))) 0.247 * * * [progress]: adding candidates to table 0.379 * * [progress]: iteration 2 / 4 0.379 * * * [progress]: picking best candidate 0.384 * * * * [pick]: Picked # 0.384 * * * [progress]: localizing error 0.392 * * * [progress]: generating rewritten candidates 0.392 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.423 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.443 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.453 * * * [progress]: generating series expansions 0.453 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.454 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.454 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.454 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.454 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.454 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.454 * [taylor]: Taking taylor expansion of x in x 0.454 * [taylor]: Taking taylor expansion of 1.0 in x 0.456 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.458 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.458 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.458 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of 1.0 in x 0.460 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.460 * [taylor]: Taking taylor expansion of x in x 0.542 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.542 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.542 * [taylor]: Taking taylor expansion of 1.0 in x 0.542 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.542 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.543 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.543 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.543 * [taylor]: Taking taylor expansion of 1.0 in x 0.543 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.543 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.546 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.547 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.547 * [taylor]: Taking taylor expansion of 1.0 in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.568 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.568 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.568 * [taylor]: Taking taylor expansion of 1.0 in x 0.568 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.568 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.568 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.568 * [taylor]: Taking taylor expansion of -1 in x 0.568 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.569 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.569 * [taylor]: Taking taylor expansion of 1.0 in x 0.569 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.572 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.572 * [taylor]: Taking taylor expansion of 1.0 in x 0.572 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.572 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.572 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.572 * [taylor]: Taking taylor expansion of -1 in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.573 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.573 * [taylor]: Taking taylor expansion of 1.0 in x 0.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.574 * [taylor]: Taking taylor expansion of x in x 0.594 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.595 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.595 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.595 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.595 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of 1.0 in x 0.596 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.597 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.597 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of 1.0 in x 0.599 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.624 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.624 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.625 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.626 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.626 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.626 * [taylor]: Taking taylor expansion of 1.0 in x 0.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.628 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.629 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.629 * [taylor]: Taking taylor expansion of 1.0 in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.643 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.643 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.643 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.643 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.643 * [taylor]: Taking taylor expansion of -1 in x 0.643 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.645 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.645 * [taylor]: Taking taylor expansion of 1.0 in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.647 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.647 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.647 * [taylor]: Taking taylor expansion of -1 in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.648 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.648 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.648 * [taylor]: Taking taylor expansion of 1.0 in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.663 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.663 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.663 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.663 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.663 * [taylor]: Taking taylor expansion of x in x 0.663 * [taylor]: Taking taylor expansion of 1.0 in x 0.665 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.665 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.674 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.674 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.674 * [taylor]: Taking taylor expansion of 1.0 in x 0.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.676 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.676 * [taylor]: Taking taylor expansion of 1.0 in x 0.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.676 * [taylor]: Taking taylor expansion of x in x 0.683 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.683 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.683 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.683 * [taylor]: Taking taylor expansion of 1.0 in x 0.683 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.685 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.685 * [taylor]: Taking taylor expansion of 1.0 in x 0.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.685 * [taylor]: Taking taylor expansion of x in x 0.693 * * * [progress]: simplifying candidates 0.694 * [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))))) 0.706 * * [simplify]: iteration 0 : 409 enodes (cost 789 ) 0.714 * * [simplify]: iteration 1 : 1675 enodes (cost 716 ) 0.744 * * [simplify]: iteration 2 : 5001 enodes (cost 675 ) 0.747 * [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))))) 0.748 * * * [progress]: adding candidates to table 0.940 * * [progress]: iteration 3 / 4 0.940 * * * [progress]: picking best candidate 0.963 * * * * [pick]: Picked # 0.963 * * * [progress]: localizing error 0.974 * * * [progress]: generating rewritten candidates 0.974 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.007 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.097 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.123 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.202 * * * [progress]: generating series expansions 1.202 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.203 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 1.203 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.203 * [taylor]: Taking taylor expansion of 1.0 in x 1.203 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.203 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.203 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.203 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.203 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.203 * [taylor]: Taking taylor expansion of 1.0 in x 1.205 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.223 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.223 * [taylor]: Taking taylor expansion of 1.0 in x 1.223 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.223 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.223 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.223 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.223 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.223 * [taylor]: Taking taylor expansion of 1.0 in x 1.225 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.225 * [taylor]: Taking taylor expansion of x in x 1.409 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 1.409 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.409 * [taylor]: Taking taylor expansion of 1.0 in x 1.409 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.409 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.409 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.409 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.409 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.409 * [taylor]: Taking taylor expansion of x in x 1.411 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.411 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.411 * [taylor]: Taking taylor expansion of 1.0 in x 1.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.411 * [taylor]: Taking taylor expansion of x in x 1.421 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.421 * [taylor]: Taking taylor expansion of 1.0 in x 1.421 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.421 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.421 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.421 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.421 * [taylor]: Taking taylor expansion of x in x 1.423 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.423 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.423 * [taylor]: Taking taylor expansion of 1.0 in x 1.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.423 * [taylor]: Taking taylor expansion of x in x 1.475 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 1.475 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.475 * [taylor]: Taking taylor expansion of 1.0 in x 1.475 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.475 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.475 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.475 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.475 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.475 * [taylor]: Taking taylor expansion of -1 in x 1.475 * [taylor]: Taking taylor expansion of x in x 1.477 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.477 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.477 * [taylor]: Taking taylor expansion of 1.0 in x 1.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.477 * [taylor]: Taking taylor expansion of x in x 1.488 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.488 * [taylor]: Taking taylor expansion of 1.0 in x 1.488 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.488 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.488 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.488 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.488 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.488 * [taylor]: Taking taylor expansion of -1 in x 1.488 * [taylor]: Taking taylor expansion of x in x 1.490 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.490 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.490 * [taylor]: Taking taylor expansion of 1.0 in x 1.490 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.490 * [taylor]: Taking taylor expansion of x in x 1.537 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.537 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.537 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.537 * [taylor]: Taking taylor expansion of 1.0 in x 1.537 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.537 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.538 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.538 * [taylor]: Taking taylor expansion of x in x 1.538 * [taylor]: Taking taylor expansion of 1.0 in x 1.539 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.539 * [taylor]: Taking taylor expansion of x in x 1.541 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.541 * [taylor]: Taking taylor expansion of 1.0 in x 1.542 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.542 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.542 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.542 * [taylor]: Taking taylor expansion of x in x 1.542 * [taylor]: Taking taylor expansion of 1.0 in x 1.543 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.543 * [taylor]: Taking taylor expansion of x in x 1.625 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.625 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.625 * [taylor]: Taking taylor expansion of 1.0 in x 1.625 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.625 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.625 * [taylor]: Taking taylor expansion of x in x 1.627 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.627 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.627 * [taylor]: Taking taylor expansion of 1.0 in x 1.627 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.627 * [taylor]: Taking taylor expansion of x in x 1.629 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.629 * [taylor]: Taking taylor expansion of 1.0 in x 1.629 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.629 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.629 * [taylor]: Taking taylor expansion of x in x 1.630 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.630 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.630 * [taylor]: Taking taylor expansion of 1.0 in x 1.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.631 * [taylor]: Taking taylor expansion of x in x 1.658 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.658 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.658 * [taylor]: Taking taylor expansion of 1.0 in x 1.658 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.658 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.658 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.658 * [taylor]: Taking taylor expansion of -1 in x 1.658 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.659 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.659 * [taylor]: Taking taylor expansion of 1.0 in x 1.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.662 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.662 * [taylor]: Taking taylor expansion of 1.0 in x 1.662 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.662 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.662 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.662 * [taylor]: Taking taylor expansion of -1 in x 1.662 * [taylor]: Taking taylor expansion of x in x 1.663 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.663 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.663 * [taylor]: Taking taylor expansion of 1.0 in x 1.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.684 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.684 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.684 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.684 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.684 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.684 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.684 * [taylor]: Taking taylor expansion of x in x 1.685 * [taylor]: Taking taylor expansion of 1.0 in x 1.686 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.686 * [taylor]: Taking taylor expansion of x in x 1.693 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.693 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.693 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.693 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.693 * [taylor]: Taking taylor expansion of 1.0 in x 1.695 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.695 * [taylor]: Taking taylor expansion of x in x 1.763 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.764 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.764 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.764 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.764 * [taylor]: Taking taylor expansion of x in x 1.765 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.765 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.765 * [taylor]: Taking taylor expansion of 1.0 in x 1.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.765 * [taylor]: Taking taylor expansion of x in x 1.774 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.774 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.774 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.774 * [taylor]: Taking taylor expansion of x in x 1.775 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.775 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.776 * [taylor]: Taking taylor expansion of 1.0 in x 1.776 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.776 * [taylor]: Taking taylor expansion of x in x 1.804 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.804 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.804 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.804 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.804 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.804 * [taylor]: Taking taylor expansion of -1 in x 1.804 * [taylor]: Taking taylor expansion of x in x 1.806 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.806 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.806 * [taylor]: Taking taylor expansion of 1.0 in x 1.806 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.806 * [taylor]: Taking taylor expansion of x in x 1.822 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.822 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.822 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.822 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.822 * [taylor]: Taking taylor expansion of -1 in x 1.822 * [taylor]: Taking taylor expansion of x in x 1.823 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.823 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.823 * [taylor]: Taking taylor expansion of 1.0 in x 1.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.823 * [taylor]: Taking taylor expansion of x in x 1.852 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.852 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.852 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.852 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.852 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.852 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.852 * [taylor]: Taking taylor expansion of x in x 1.852 * [taylor]: Taking taylor expansion of 1.0 in x 1.854 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.854 * [taylor]: Taking taylor expansion of x in x 1.860 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.860 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.860 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.860 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.860 * [taylor]: Taking taylor expansion of x in x 1.860 * [taylor]: Taking taylor expansion of 1.0 in x 1.862 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.862 * [taylor]: Taking taylor expansion of x in x 1.930 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.930 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.930 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.930 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.930 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.930 * [taylor]: Taking taylor expansion of x in x 1.931 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.931 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.931 * [taylor]: Taking taylor expansion of 1.0 in x 1.931 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.931 * [taylor]: Taking taylor expansion of x in x 1.940 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.940 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.940 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.940 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.940 * [taylor]: Taking taylor expansion of x in x 1.942 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.942 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.942 * [taylor]: Taking taylor expansion of 1.0 in x 1.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.942 * [taylor]: Taking taylor expansion of x in x 1.970 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.970 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.970 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.970 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.970 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.970 * [taylor]: Taking taylor expansion of -1 in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.972 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.972 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.972 * [taylor]: Taking taylor expansion of 1.0 in x 1.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.972 * [taylor]: Taking taylor expansion of x in x 1.981 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.981 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.981 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.981 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.981 * [taylor]: Taking taylor expansion of -1 in x 1.981 * [taylor]: Taking taylor expansion of x in x 1.989 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.989 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.989 * [taylor]: Taking taylor expansion of 1.0 in x 1.989 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.989 * [taylor]: Taking taylor expansion of x in x 2.018 * * * [progress]: simplifying candidates 2.030 * [simplify]: Simplifying using # : (expm1 (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log1p (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (log (+ 1.0 0)) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (exp (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (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) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (+ 1.0 0)) (- (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (cbrt (+ 1.0 0)) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (cbrt (+ 1.0 0)) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (sqrt 1))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (sqrt 1))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (sqrt (+ 1.0 0)) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (+ 1.0 0)) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (sqrt (+ 1.0 0)) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (+ 1.0 0)) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (+ 1.0 0)) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (sqrt 1))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (sqrt 1))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (+ 1.0 0)) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (+ 1.0 0) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1 (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (+ 1.0 0) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (sqrt 1))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (sqrt 1))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1 1) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (+ 1.0 0) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1 (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (+ 1.0 0) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (sqrt 1))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (sqrt 1))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1 1) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (+ 1.0 0) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (+ 1.0 0) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) (sqrt (sqrt 1))) (/ (+ 1.0 0) (sqrt (sqrt 1))) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) 1) (/ (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ 1.0 0))) (/ (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ 1.0 0))) (/ (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ 1.0 0)) (/ (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ 1.0 0)) (/ (+ 1.0 0) (sqrt (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)))) (/ (+ 1.0 0) (sqrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))))) (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (* 1.0 1.0) (- (* 0 0) (* 1.0 0)))) (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (- 1.0 0)) (expm1 (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log1p (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (- (log (+ 1.0 0)) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (log (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (exp (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (* (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt 1)) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (sqrt 1))) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) 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1.0) 5))))))))) (+ (- (* 1.0 (sqrt +nan.0)) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (+ (- (* 1.0 (sqrt +nan.0)) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (+ (- (fma 1.0 (/ 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))) (+ (- (fma 1/4 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (sqrt (sqrt 1.0))) (fma (* +nan.0 (pow x 2)) (sqrt (/ 1 (pow (sqrt 1.0) 3))) (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7))))))) (- (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0))))) (fma +nan.0 (* (pow x 2) (sqrt (/ 1 (sqrt 1.0)))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (+ (- (fma 1/4 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (sqrt (sqrt 1.0))) (fma (* +nan.0 (pow x 2)) (sqrt (/ 1 (pow (sqrt 1.0) 3))) (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7))))))) (- (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0))))) (fma +nan.0 (* (pow x 2) (sqrt (/ 1 (sqrt 1.0)))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) 2.185 * * * [progress]: adding candidates to table 2.801 * * [progress]: iteration 4 / 4 2.801 * * * [progress]: picking best candidate 2.822 * * * * [pick]: Picked # 2.822 * * * [progress]: localizing error 2.837 * * * [progress]: generating rewritten candidates 2.837 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.873 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.899 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.900 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.934 * * * [progress]: generating series expansions 2.934 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.935 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 2.935 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.935 * [taylor]: Taking taylor expansion of 1.0 in x 2.935 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.935 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.935 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.935 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.935 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.935 * [taylor]: Taking taylor expansion of x in x 2.935 * [taylor]: Taking taylor expansion of 1.0 in x 2.937 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.937 * [taylor]: Taking taylor expansion of x in x 2.955 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.955 * [taylor]: Taking taylor expansion of 1.0 in x 2.955 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.955 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.955 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.955 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.955 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.955 * [taylor]: Taking taylor expansion of x in x 2.955 * [taylor]: Taking taylor expansion of 1.0 in x 2.957 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.957 * [taylor]: Taking taylor expansion of x in x 3.140 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 3.140 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 3.140 * [taylor]: Taking taylor expansion of 1.0 in x 3.140 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.140 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.140 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.140 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.140 * [taylor]: Taking taylor expansion of x in x 3.141 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.141 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.141 * [taylor]: Taking taylor expansion of 1.0 in x 3.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.141 * [taylor]: Taking taylor expansion of x in x 3.152 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 3.152 * [taylor]: Taking taylor expansion of 1.0 in x 3.152 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.152 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.152 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.152 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.152 * [taylor]: Taking taylor expansion of x in x 3.154 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.154 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.154 * [taylor]: Taking taylor expansion of 1.0 in x 3.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.154 * [taylor]: Taking taylor expansion of x in x 3.209 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 3.209 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 3.209 * [taylor]: Taking taylor expansion of 1.0 in x 3.209 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.209 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.209 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.209 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.209 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.210 * [taylor]: Taking taylor expansion of -1 in x 3.210 * [taylor]: Taking taylor expansion of x in x 3.211 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.211 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.211 * [taylor]: Taking taylor expansion of 1.0 in x 3.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.211 * [taylor]: Taking taylor expansion of x in x 3.222 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 3.222 * [taylor]: Taking taylor expansion of 1.0 in x 3.222 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.222 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.222 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.222 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.222 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.222 * [taylor]: Taking taylor expansion of -1 in x 3.222 * [taylor]: Taking taylor expansion of x in x 3.223 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.224 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.224 * [taylor]: Taking taylor expansion of 1.0 in x 3.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.224 * [taylor]: Taking taylor expansion of x in x 3.279 * * * * [progress]: [ 2 / 4 ] generating series at (2) 3.279 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))))))) in (x) around 0 3.279 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))))))) in x 3.279 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.279 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.279 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.279 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.279 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.279 * [taylor]: Taking taylor expansion of x in x 3.280 * [taylor]: Taking taylor expansion of 1.0 in x 3.281 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.281 * [taylor]: Taking taylor expansion of x in x 3.299 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) in x 3.299 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) 1) 3.299 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) in x 3.299 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))))) in x 3.299 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) 3.299 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))))) in x 3.299 * [taylor]: Taking taylor expansion of 1 in x 3.299 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 3.299 * [taylor]: Taking taylor expansion of 1.0 in x 3.299 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.299 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.299 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.299 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.299 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.299 * [taylor]: Taking taylor expansion of x in x 3.299 * [taylor]: Taking taylor expansion of 1.0 in x 3.301 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.301 * [taylor]: Taking taylor expansion of x in x 3.327 * [taylor]: Taking taylor expansion of 1 in x 3.327 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))))))) in x 3.328 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.328 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.328 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.328 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.328 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.328 * [taylor]: Taking taylor expansion of x in x 3.328 * [taylor]: Taking taylor expansion of 1.0 in x 3.329 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.329 * [taylor]: Taking taylor expansion of x in x 3.347 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) in x 3.348 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) 1) 3.348 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) in x 3.348 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))))) in x 3.348 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) 3.348 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))))) in x 3.348 * [taylor]: Taking taylor expansion of 1 in x 3.348 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 3.348 * [taylor]: Taking taylor expansion of 1.0 in x 3.348 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.348 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.348 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.348 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.348 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.348 * [taylor]: Taking taylor expansion of x in x 3.348 * [taylor]: Taking taylor expansion of 1.0 in x 3.350 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.350 * [taylor]: Taking taylor expansion of x in x 3.382 * [taylor]: Taking taylor expansion of 1 in x 5.446 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))))) in (x) around 0 5.447 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))))) in x 5.447 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 5.447 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 5.447 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 5.447 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.447 * [taylor]: Taking taylor expansion of x in x 5.448 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 5.448 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.448 * [taylor]: Taking taylor expansion of 1.0 in x 5.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.448 * [taylor]: Taking taylor expansion of x in x 5.459 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) in x 5.459 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) 1) 5.459 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) in x 5.459 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))) in x 5.459 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) 5.459 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))) in x 5.459 * [taylor]: Taking taylor expansion of 1 in x 5.459 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 5.459 * [taylor]: Taking taylor expansion of 1.0 in x 5.459 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 5.459 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 5.459 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 5.459 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.459 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.459 * [taylor]: Taking taylor expansion of x in x 5.460 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 5.460 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.460 * [taylor]: Taking taylor expansion of 1.0 in x 5.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.461 * [taylor]: Taking taylor expansion of x in x 5.484 * [taylor]: Taking taylor expansion of 1 in x 5.484 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))))) in x 5.484 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 5.484 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 5.484 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 5.484 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.484 * [taylor]: Taking taylor expansion of x in x 5.485 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 5.485 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.485 * [taylor]: Taking taylor expansion of 1.0 in x 5.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.485 * [taylor]: Taking taylor expansion of x in x 5.496 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) in x 5.496 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) 1) 5.496 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) in x 5.496 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))) in x 5.496 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) 5.496 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))) in x 5.496 * [taylor]: Taking taylor expansion of 1 in x 5.496 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 5.496 * [taylor]: Taking taylor expansion of 1.0 in x 5.496 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 5.496 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 5.496 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 5.496 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.496 * [taylor]: Taking taylor expansion of x in x 5.498 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 5.498 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.498 * [taylor]: Taking taylor expansion of 1.0 in x 5.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.498 * [taylor]: Taking taylor expansion of x in x 5.513 * [taylor]: Taking taylor expansion of 1 in x 5.912 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))))) in (x) around 0 5.913 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))))) in x 5.913 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 5.913 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 5.913 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 5.913 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.913 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.913 * [taylor]: Taking taylor expansion of -1 in x 5.913 * [taylor]: Taking taylor expansion of x in x 5.914 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.914 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.914 * [taylor]: Taking taylor expansion of 1.0 in x 5.914 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.914 * [taylor]: Taking taylor expansion of x in x 5.925 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) in x 5.925 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) 1) 5.925 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) in x 5.925 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))) in x 5.925 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) 5.926 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))) in x 5.926 * [taylor]: Taking taylor expansion of 1 in x 5.926 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 5.926 * [taylor]: Taking taylor expansion of 1.0 in x 5.926 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 5.926 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 5.926 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 5.926 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.926 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.926 * [taylor]: Taking taylor expansion of -1 in x 5.926 * [taylor]: Taking taylor expansion of x in x 5.927 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.927 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.927 * [taylor]: Taking taylor expansion of 1.0 in x 5.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.927 * [taylor]: Taking taylor expansion of x in x 5.944 * [taylor]: Taking taylor expansion of 1 in x 5.944 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))))) in x 5.944 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 5.944 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 5.944 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 5.944 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.944 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.944 * [taylor]: Taking taylor expansion of -1 in x 5.944 * [taylor]: Taking taylor expansion of x in x 5.945 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.945 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.945 * [taylor]: Taking taylor expansion of 1.0 in x 5.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.945 * [taylor]: Taking taylor expansion of x in x 5.956 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) in x 5.956 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) 1) 5.956 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) in x 5.956 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))) in x 5.957 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) 5.957 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))) in x 5.957 * [taylor]: Taking taylor expansion of 1 in x 5.957 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 5.957 * [taylor]: Taking taylor expansion of 1.0 in x 5.957 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 5.957 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 5.957 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 5.957 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.957 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.957 * [taylor]: Taking taylor expansion of -1 in x 5.957 * [taylor]: Taking taylor expansion of x in x 5.958 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.958 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.958 * [taylor]: Taking taylor expansion of 1.0 in x 5.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.958 * [taylor]: Taking taylor expansion of x in x 5.982 * [taylor]: Taking taylor expansion of 1 in x 6.382 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 6.382 * [approximate]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) in (x) around 0 6.383 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) in x 6.383 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) 1) 6.383 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) in x 6.383 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))))) in x 6.383 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) 6.383 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))))) in x 6.383 * [taylor]: Taking taylor expansion of 1 in x 6.383 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 6.383 * [taylor]: Taking taylor expansion of 1.0 in x 6.383 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 6.383 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 6.383 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 6.383 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.383 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.383 * [taylor]: Taking taylor expansion of x in x 6.383 * [taylor]: Taking taylor expansion of 1.0 in x 6.392 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.392 * [taylor]: Taking taylor expansion of x in x 6.419 * [taylor]: Taking taylor expansion of 1 in x 6.419 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) in x 6.419 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) 1) 6.419 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) in x 6.419 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))))) in x 6.419 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) 6.419 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))))) in x 6.419 * [taylor]: Taking taylor expansion of 1 in x 6.419 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 6.419 * [taylor]: Taking taylor expansion of 1.0 in x 6.420 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 6.420 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 6.420 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 6.420 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.420 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.420 * [taylor]: Taking taylor expansion of x in x 6.420 * [taylor]: Taking taylor expansion of 1.0 in x 6.421 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.421 * [taylor]: Taking taylor expansion of x in x 6.448 * [taylor]: Taking taylor expansion of 1 in x 7.602 * [approximate]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) in (x) around 0 7.602 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) in x 7.602 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) 1) 7.602 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) in x 7.602 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))) in x 7.602 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) 7.602 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))) in x 7.602 * [taylor]: Taking taylor expansion of 1 in x 7.602 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 7.602 * [taylor]: Taking taylor expansion of 1.0 in x 7.602 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 7.602 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 7.602 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 7.602 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 7.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.602 * [taylor]: Taking taylor expansion of x in x 7.604 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 7.604 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 7.604 * [taylor]: Taking taylor expansion of 1.0 in x 7.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.604 * [taylor]: Taking taylor expansion of x in x 7.619 * [taylor]: Taking taylor expansion of 1 in x 7.620 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) in x 7.620 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) 1) 7.620 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) in x 7.620 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))) in x 7.620 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) 7.620 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))) in x 7.620 * [taylor]: Taking taylor expansion of 1 in x 7.620 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 7.620 * [taylor]: Taking taylor expansion of 1.0 in x 7.620 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 7.620 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 7.620 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 7.620 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 7.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.620 * [taylor]: Taking taylor expansion of x in x 7.621 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 7.621 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 7.621 * [taylor]: Taking taylor expansion of 1.0 in x 7.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.621 * [taylor]: Taking taylor expansion of x in x 7.637 * [taylor]: Taking taylor expansion of 1 in x 7.919 * [approximate]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) in (x) around 0 7.919 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) in x 7.919 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) 1) 7.919 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) in x 7.919 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))) in x 7.920 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) 7.920 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))) in x 7.920 * [taylor]: Taking taylor expansion of 1 in x 7.920 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 7.920 * [taylor]: Taking taylor expansion of 1.0 in x 7.920 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 7.920 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 7.920 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 7.920 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.920 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.920 * [taylor]: Taking taylor expansion of -1 in x 7.920 * [taylor]: Taking taylor expansion of x in x 7.921 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 7.921 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 7.921 * [taylor]: Taking taylor expansion of 1.0 in x 7.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.921 * [taylor]: Taking taylor expansion of x in x 7.938 * [taylor]: Taking taylor expansion of 1 in x 7.938 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) in x 7.938 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) 1) 7.938 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) in x 7.938 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))) in x 7.938 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) 7.938 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))) in x 7.938 * [taylor]: Taking taylor expansion of 1 in x 7.938 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 7.938 * [taylor]: Taking taylor expansion of 1.0 in x 7.938 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 7.938 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 7.938 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 7.938 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.938 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.938 * [taylor]: Taking taylor expansion of -1 in x 7.938 * [taylor]: Taking taylor expansion of x in x 7.940 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 7.940 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 7.940 * [taylor]: Taking taylor expansion of 1.0 in x 7.940 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.940 * [taylor]: Taking taylor expansion of x in x 7.955 * [taylor]: Taking taylor expansion of 1 in x 8.232 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 8.232 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 8.232 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 8.232 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 8.232 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 8.232 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 8.232 * [taylor]: Taking taylor expansion of x in x 8.232 * [taylor]: Taking taylor expansion of 1.0 in x 8.241 * [taylor]: Taking taylor expansion of (sqrt x) in x 8.241 * [taylor]: Taking taylor expansion of x in x 8.248 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 8.248 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 8.248 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 8.248 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 8.248 * [taylor]: Taking taylor expansion of x in x 8.248 * [taylor]: Taking taylor expansion of 1.0 in x 8.250 * [taylor]: Taking taylor expansion of (sqrt x) in x 8.250 * [taylor]: Taking taylor expansion of x in x 8.312 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 8.312 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 8.312 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 8.312 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 8.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.312 * [taylor]: Taking taylor expansion of x in x 8.314 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 8.314 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 8.314 * [taylor]: Taking taylor expansion of 1.0 in x 8.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.314 * [taylor]: Taking taylor expansion of x in x 8.331 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 8.331 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 8.331 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 8.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.331 * [taylor]: Taking taylor expansion of x in x 8.332 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 8.332 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 8.332 * [taylor]: Taking taylor expansion of 1.0 in x 8.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.332 * [taylor]: Taking taylor expansion of x in x 8.361 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 8.362 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 8.362 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 8.362 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 8.362 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.362 * [taylor]: Taking taylor expansion of -1 in x 8.362 * [taylor]: Taking taylor expansion of x in x 8.363 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 8.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 8.363 * [taylor]: Taking taylor expansion of 1.0 in x 8.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.363 * [taylor]: Taking taylor expansion of x in x 8.372 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 8.373 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 8.373 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 8.373 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.373 * [taylor]: Taking taylor expansion of -1 in x 8.373 * [taylor]: Taking taylor expansion of x in x 8.374 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 8.374 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 8.374 * [taylor]: Taking taylor expansion of 1.0 in x 8.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.374 * [taylor]: Taking taylor expansion of x in x 8.403 * * * [progress]: simplifying candidates 8.407 * [simplify]: Simplifying using # : (expm1 (/ (+ 1.0 0) (sqrt (+ 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3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) 8.471 * * * [progress]: adding candidates to table 9.033 * [progress]: [Phase 3 of 3] Extracting. 9.033 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 9.036 * * * [regime-changes]: Trying 1 branch expressions: (x) 9.036 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 9.079 * * * [regime]: Found split indices: #