12.436 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.044 * * * [progress]: [2/2] Setting up program. 0.046 * [progress]: [Phase 2 of 3] Improving. 0.047 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.049 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.050 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.051 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.052 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.053 * * * [progress]: localizing error 0.059 * * * [progress]: generating rewritten candidates 0.059 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.084 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.094 * * * [progress]: generating series expansions 0.094 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.094 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.094 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.094 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.094 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.094 * [taylor]: Taking taylor expansion of 1.0 in x 0.096 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.097 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.097 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of 1.0 in x 0.099 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.120 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.120 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.120 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.120 * [taylor]: Taking taylor expansion of 1.0 in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.123 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.123 * [taylor]: Taking taylor expansion of 1.0 in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.141 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.141 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.141 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.141 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.143 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.143 * [taylor]: Taking taylor expansion of -1 in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.144 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.144 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.146 * [taylor]: Taking taylor expansion of -1 in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.163 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.163 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.163 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of 1.0 in x 0.165 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.165 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of 1.0 in x 0.174 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.174 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of 1.0 in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.176 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of 1.0 in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.189 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.189 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.189 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of 1.0 in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.191 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.191 * [taylor]: Taking taylor expansion of 1.0 in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.199 * * * [progress]: simplifying candidates 0.201 * [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))))) 0.207 * * [simplify]: iteration 0 : 299 enodes (cost 1161 ) 0.212 * * [simplify]: iteration 1 : 921 enodes (cost 822 ) 0.235 * * [simplify]: iteration 2 : 5001 enodes (cost 744 ) 0.239 * [simplify]: Simplified to: (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) 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(sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (pow (- (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (+ (fma (sqrt x) (sqrt (+ x 1.0)) x) x) 1.0) (- (sqrt x)) (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) 0.239 * * * [progress]: adding candidates to table 0.369 * * [progress]: iteration 2 / 4 0.369 * * * [progress]: picking best candidate 0.373 * * * * [pick]: Picked # 0.374 * * * [progress]: localizing error 0.381 * * * [progress]: generating rewritten candidates 0.381 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.412 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.429 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.436 * * * [progress]: generating series expansions 0.436 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.437 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.437 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.437 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.437 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.437 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.439 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.441 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.441 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.523 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.523 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.523 * [taylor]: Taking taylor expansion of 1.0 in x 0.523 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.523 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.525 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.525 * [taylor]: Taking taylor expansion of 1.0 in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.527 * [taylor]: Taking taylor expansion of 1.0 in x 0.527 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.527 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.529 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.529 * [taylor]: Taking taylor expansion of 1.0 in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.550 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.550 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.550 * [taylor]: Taking taylor expansion of 1.0 in x 0.550 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.550 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.550 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.550 * [taylor]: Taking taylor expansion of -1 in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.552 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.552 * [taylor]: Taking taylor expansion of 1.0 in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.560 * [taylor]: Taking taylor expansion of 1.0 in x 0.561 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.561 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.561 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.561 * [taylor]: Taking taylor expansion of -1 in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.562 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.562 * [taylor]: Taking taylor expansion of 1.0 in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.584 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.584 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.584 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.584 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.584 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.586 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.587 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.587 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.589 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.608 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.608 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.608 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.610 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.610 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.610 * [taylor]: Taking taylor expansion of 1.0 in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.611 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.612 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.613 * [taylor]: Taking taylor expansion of 1.0 in x 0.613 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.627 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.627 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.627 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.627 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.627 * [taylor]: Taking taylor expansion of -1 in x 0.627 * [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 0.630 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.630 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.630 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.630 * [taylor]: Taking taylor expansion of -1 in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.632 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.632 * [taylor]: Taking taylor expansion of 1.0 in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.654 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.654 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.654 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.654 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of 1.0 in x 0.656 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.656 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of 1.0 in x 0.665 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.665 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.666 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.666 * [taylor]: Taking taylor expansion of 1.0 in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.667 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.667 * [taylor]: Taking taylor expansion of 1.0 in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.675 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.675 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.675 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.675 * [taylor]: Taking taylor expansion of 1.0 in x 0.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.675 * [taylor]: Taking taylor expansion of x in x 0.676 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.677 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.677 * [taylor]: Taking taylor expansion of 1.0 in x 0.677 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.685 * * * [progress]: simplifying candidates 0.686 * [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))))) 0.693 * * [simplify]: iteration 0 : 409 enodes (cost 789 ) 0.700 * * [simplify]: iteration 1 : 1675 enodes (cost 716 ) 0.730 * * [simplify]: iteration 2 : 5001 enodes (cost 675 ) 0.733 * [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))))) 0.734 * * * [progress]: adding candidates to table 0.938 * * [progress]: iteration 3 / 4 0.938 * * * [progress]: picking best candidate 0.957 * * * * [pick]: Picked # 0.958 * * * [progress]: localizing error 0.968 * * * [progress]: generating rewritten candidates 0.968 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.000 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.077 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.100 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.180 * * * [progress]: generating series expansions 1.180 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.181 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 1.181 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.181 * [taylor]: Taking taylor expansion of 1.0 in x 1.181 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.181 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.181 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.181 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.181 * [taylor]: Taking taylor expansion of 1.0 in x 1.183 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.201 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.201 * [taylor]: Taking taylor expansion of 1.0 in x 1.201 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.201 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.201 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.201 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.201 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.201 * [taylor]: Taking taylor expansion of 1.0 in x 1.203 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.203 * [taylor]: Taking taylor expansion of x in x 1.385 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 1.385 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.385 * [taylor]: Taking taylor expansion of 1.0 in x 1.385 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.385 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.385 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.385 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.385 * [taylor]: Taking taylor expansion of x in x 1.387 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.387 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.387 * [taylor]: Taking taylor expansion of 1.0 in x 1.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.397 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.397 * [taylor]: Taking taylor expansion of 1.0 in x 1.398 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.398 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.398 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.398 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.398 * [taylor]: Taking taylor expansion of x in x 1.399 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.399 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.399 * [taylor]: Taking taylor expansion of 1.0 in x 1.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.399 * [taylor]: Taking taylor expansion of x in x 1.452 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 1.452 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.452 * [taylor]: Taking taylor expansion of 1.0 in x 1.452 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.452 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.452 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.452 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.452 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.452 * [taylor]: Taking taylor expansion of -1 in x 1.452 * [taylor]: Taking taylor expansion of x in x 1.454 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.454 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.454 * [taylor]: Taking taylor expansion of 1.0 in x 1.454 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.454 * [taylor]: Taking taylor expansion of x in x 1.465 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.465 * [taylor]: Taking taylor expansion of 1.0 in x 1.465 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.465 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.465 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.465 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.465 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.465 * [taylor]: Taking taylor expansion of -1 in x 1.465 * [taylor]: Taking taylor expansion of x in x 1.466 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.466 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.466 * [taylor]: Taking taylor expansion of 1.0 in x 1.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.466 * [taylor]: Taking taylor expansion of x in x 1.520 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.520 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.520 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.520 * [taylor]: Taking taylor expansion of 1.0 in x 1.520 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.520 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.520 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.520 * [taylor]: Taking taylor expansion of x in x 1.520 * [taylor]: Taking taylor expansion of 1.0 in x 1.522 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.522 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.524 * [taylor]: Taking taylor expansion of 1.0 in x 1.524 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.524 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.524 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of 1.0 in x 1.526 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.526 * [taylor]: Taking taylor expansion of x in x 1.608 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.608 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.608 * [taylor]: Taking taylor expansion of 1.0 in x 1.608 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.608 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.608 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.608 * [taylor]: Taking taylor expansion of x in x 1.610 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.610 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.610 * [taylor]: Taking taylor expansion of 1.0 in x 1.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.612 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.612 * [taylor]: Taking taylor expansion of 1.0 in x 1.612 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.612 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.612 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.612 * [taylor]: Taking taylor expansion of x in x 1.614 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.614 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.614 * [taylor]: Taking taylor expansion of 1.0 in x 1.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.614 * [taylor]: Taking taylor expansion of x in x 1.636 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.636 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.636 * [taylor]: Taking taylor expansion of 1.0 in x 1.636 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.636 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.636 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.636 * [taylor]: Taking taylor expansion of -1 in x 1.636 * [taylor]: Taking taylor expansion of x in x 1.637 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.637 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.637 * [taylor]: Taking taylor expansion of 1.0 in x 1.637 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.637 * [taylor]: Taking taylor expansion of x in x 1.640 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.640 * [taylor]: Taking taylor expansion of 1.0 in x 1.640 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.640 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.640 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.640 * [taylor]: Taking taylor expansion of -1 in x 1.640 * [taylor]: Taking taylor expansion of x in x 1.641 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.641 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.641 * [taylor]: Taking taylor expansion of 1.0 in x 1.641 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.641 * [taylor]: Taking taylor expansion of x in x 1.663 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.663 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.663 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.663 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.663 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.663 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.663 * [taylor]: Taking taylor expansion of 1.0 in x 1.665 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.665 * [taylor]: Taking taylor expansion of x in x 1.671 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.672 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.672 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.672 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.672 * [taylor]: Taking taylor expansion of x in x 1.672 * [taylor]: Taking taylor expansion of 1.0 in x 1.673 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.673 * [taylor]: Taking taylor expansion of x in x 1.742 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.742 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.742 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.742 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.742 * [taylor]: Taking taylor expansion of x in x 1.744 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.744 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.744 * [taylor]: Taking taylor expansion of 1.0 in x 1.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.744 * [taylor]: Taking taylor expansion of x in x 1.752 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.752 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.752 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.752 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.752 * [taylor]: Taking taylor expansion of x in x 1.754 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.754 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.754 * [taylor]: Taking taylor expansion of 1.0 in x 1.754 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.754 * [taylor]: Taking taylor expansion of x in x 1.789 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.789 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.789 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.789 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.789 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.789 * [taylor]: Taking taylor expansion of -1 in x 1.789 * [taylor]: Taking taylor expansion of x in x 1.790 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.790 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.790 * [taylor]: Taking taylor expansion of 1.0 in x 1.790 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.790 * [taylor]: Taking taylor expansion of x in x 1.799 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.799 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.799 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.800 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.800 * [taylor]: Taking taylor expansion of -1 in x 1.800 * [taylor]: Taking taylor expansion of x in x 1.801 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.801 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.801 * [taylor]: Taking taylor expansion of 1.0 in x 1.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.801 * [taylor]: Taking taylor expansion of x in x 1.830 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.830 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.830 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.830 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.830 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.830 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.830 * [taylor]: Taking taylor expansion of x in x 1.830 * [taylor]: Taking taylor expansion of 1.0 in x 1.832 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.832 * [taylor]: Taking taylor expansion of x in x 1.838 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.838 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.838 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.838 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.838 * [taylor]: Taking taylor expansion of x in x 1.838 * [taylor]: Taking taylor expansion of 1.0 in x 1.840 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.840 * [taylor]: Taking taylor expansion of x in x 1.908 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.908 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.908 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.908 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.909 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.909 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.909 * [taylor]: Taking taylor expansion of 1.0 in x 1.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.910 * [taylor]: Taking taylor expansion of x in x 1.918 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.919 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.919 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.919 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.919 * [taylor]: Taking taylor expansion of x in x 1.920 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.920 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.920 * [taylor]: Taking taylor expansion of 1.0 in x 1.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.920 * [taylor]: Taking taylor expansion of x in x 1.955 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.955 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.955 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.955 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.955 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.955 * [taylor]: Taking taylor expansion of -1 in x 1.955 * [taylor]: Taking taylor expansion of x in x 1.956 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.956 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.956 * [taylor]: Taking taylor expansion of 1.0 in x 1.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.956 * [taylor]: Taking taylor expansion of x in x 1.965 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.966 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.966 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.966 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.966 * [taylor]: Taking taylor expansion of -1 in x 1.966 * [taylor]: Taking taylor expansion of x in x 1.967 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.967 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.967 * [taylor]: Taking taylor expansion of 1.0 in x 1.967 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.967 * [taylor]: Taking taylor expansion of x in x 1.997 * * * [progress]: simplifying candidates 2.009 * [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)))))) 2.160 * * * [progress]: adding candidates to table 2.771 * * [progress]: iteration 4 / 4 2.771 * * * [progress]: picking best candidate 2.794 * * * * [pick]: Picked # 2.794 * * * [progress]: localizing error 2.808 * * * [progress]: generating rewritten candidates 2.808 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.842 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.865 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.866 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.897 * * * [progress]: generating series expansions 2.897 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.898 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 2.898 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.898 * [taylor]: Taking taylor expansion of 1.0 in x 2.898 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.898 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.898 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.898 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.898 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.898 * [taylor]: Taking taylor expansion of x in x 2.898 * [taylor]: Taking taylor expansion of 1.0 in x 2.900 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.900 * [taylor]: Taking taylor expansion of x in x 2.918 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.918 * [taylor]: Taking taylor expansion of 1.0 in x 2.918 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.918 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.918 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.918 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.918 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.918 * [taylor]: Taking taylor expansion of x in x 2.918 * [taylor]: Taking taylor expansion of 1.0 in x 2.920 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.920 * [taylor]: Taking taylor expansion of x in x 3.106 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 3.106 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 3.107 * [taylor]: Taking taylor expansion of 1.0 in x 3.107 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.107 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.107 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.107 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.107 * [taylor]: Taking taylor expansion of x in x 3.108 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.108 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.108 * [taylor]: Taking taylor expansion of 1.0 in x 3.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.108 * [taylor]: Taking taylor expansion of x in x 3.119 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 3.119 * [taylor]: Taking taylor expansion of 1.0 in x 3.119 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 3.119 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.119 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.119 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.119 * [taylor]: Taking taylor expansion of x in x 3.121 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.121 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.121 * [taylor]: Taking taylor expansion of 1.0 in x 3.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.121 * [taylor]: Taking taylor expansion of x in x 3.175 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 3.175 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 3.175 * [taylor]: Taking taylor expansion of 1.0 in x 3.175 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.175 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.175 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.175 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.175 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.175 * [taylor]: Taking taylor expansion of -1 in x 3.175 * [taylor]: Taking taylor expansion of x in x 3.177 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.177 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.177 * [taylor]: Taking taylor expansion of 1.0 in x 3.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.177 * [taylor]: Taking taylor expansion of x in x 3.188 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 3.188 * [taylor]: Taking taylor expansion of 1.0 in x 3.188 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 3.188 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.188 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.188 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.188 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.188 * [taylor]: Taking taylor expansion of -1 in x 3.188 * [taylor]: Taking taylor expansion of x in x 3.189 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.189 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.189 * [taylor]: Taking taylor expansion of 1.0 in x 3.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.190 * [taylor]: Taking taylor expansion of x in x 3.244 * * * * [progress]: [ 2 / 4 ] generating series at (2) 3.244 * [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 3.244 * [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 3.244 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.244 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.244 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.244 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.244 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.244 * [taylor]: Taking taylor expansion of x in x 3.245 * [taylor]: Taking taylor expansion of 1.0 in x 3.246 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.246 * [taylor]: Taking taylor expansion of x in x 3.264 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) in x 3.264 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) 1) 3.264 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) in x 3.264 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))))) in x 3.264 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) 3.264 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))))) in x 3.264 * [taylor]: Taking taylor expansion of 1 in x 3.264 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 3.264 * [taylor]: Taking taylor expansion of 1.0 in x 3.264 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.264 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.264 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.264 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.264 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.264 * [taylor]: Taking taylor expansion of x in x 3.264 * [taylor]: Taking taylor expansion of 1.0 in x 3.266 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.266 * [taylor]: Taking taylor expansion of x in x 3.292 * [taylor]: Taking taylor expansion of 1 in x 3.292 * [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 3.292 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.292 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.292 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.292 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.292 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.292 * [taylor]: Taking taylor expansion of x in x 3.292 * [taylor]: Taking taylor expansion of 1.0 in x 3.294 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.294 * [taylor]: Taking taylor expansion of x in x 3.318 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) in x 3.319 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) 1) 3.319 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) in x 3.319 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))))) in x 3.319 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) 3.319 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))))) in x 3.319 * [taylor]: Taking taylor expansion of 1 in x 3.319 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 3.319 * [taylor]: Taking taylor expansion of 1.0 in x 3.319 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 3.319 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.319 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.319 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.319 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.319 * [taylor]: Taking taylor expansion of x in x 3.319 * [taylor]: Taking taylor expansion of 1.0 in x 3.321 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.321 * [taylor]: Taking taylor expansion of x in x 3.348 * [taylor]: Taking taylor expansion of 1 in x 5.245 * [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 5.245 * [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 5.245 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 5.245 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 5.245 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 5.245 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.245 * [taylor]: Taking taylor expansion of x in x 5.246 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 5.246 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.246 * [taylor]: Taking taylor expansion of 1.0 in x 5.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.246 * [taylor]: Taking taylor expansion of x in x 5.257 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) in x 5.257 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) 1) 5.257 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) in x 5.257 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))) in x 5.257 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) 5.257 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))) in x 5.257 * [taylor]: Taking taylor expansion of 1 in x 5.257 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 5.257 * [taylor]: Taking taylor expansion of 1.0 in x 5.257 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 5.257 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 5.257 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 5.257 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.258 * [taylor]: Taking taylor expansion of x in x 5.259 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 5.259 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.259 * [taylor]: Taking taylor expansion of 1.0 in x 5.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.259 * [taylor]: Taking taylor expansion of x in x 5.275 * [taylor]: Taking taylor expansion of 1 in x 5.275 * [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 5.275 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 5.275 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 5.275 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 5.275 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.275 * [taylor]: Taking taylor expansion of x in x 5.283 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 5.283 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.283 * [taylor]: Taking taylor expansion of 1.0 in x 5.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.283 * [taylor]: Taking taylor expansion of x in x 5.294 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) in x 5.294 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) 1) 5.294 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) in x 5.294 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))) in x 5.294 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) 5.294 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))) in x 5.294 * [taylor]: Taking taylor expansion of 1 in x 5.294 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 5.294 * [taylor]: Taking taylor expansion of 1.0 in x 5.295 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 5.295 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 5.295 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 5.295 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.295 * [taylor]: Taking taylor expansion of x in x 5.296 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 5.296 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.296 * [taylor]: Taking taylor expansion of 1.0 in x 5.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.296 * [taylor]: Taking taylor expansion of x in x 5.312 * [taylor]: Taking taylor expansion of 1 in x 5.703 * [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 5.703 * [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 5.703 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 5.703 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 5.703 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 5.703 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.703 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.703 * [taylor]: Taking taylor expansion of -1 in x 5.703 * [taylor]: Taking taylor expansion of x in x 5.705 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.705 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.705 * [taylor]: Taking taylor expansion of 1.0 in x 5.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.705 * [taylor]: Taking taylor expansion of x in x 5.716 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) in x 5.716 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) 1) 5.716 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) in x 5.716 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))) in x 5.716 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) 5.717 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))) in x 5.717 * [taylor]: Taking taylor expansion of 1 in x 5.717 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 5.717 * [taylor]: Taking taylor expansion of 1.0 in x 5.717 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 5.717 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 5.717 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 5.717 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.717 * [taylor]: Taking taylor expansion of -1 in x 5.717 * [taylor]: Taking taylor expansion of x in x 5.718 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.718 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.718 * [taylor]: Taking taylor expansion of 1.0 in x 5.718 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.718 * [taylor]: Taking taylor expansion of x in x 5.735 * [taylor]: Taking taylor expansion of 1 in x 5.735 * [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 5.735 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 5.735 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 5.735 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 5.735 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.735 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.735 * [taylor]: Taking taylor expansion of -1 in x 5.735 * [taylor]: Taking taylor expansion of x in x 5.736 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.736 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.736 * [taylor]: Taking taylor expansion of 1.0 in x 5.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.736 * [taylor]: Taking taylor expansion of x in x 5.747 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) in x 5.748 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) 1) 5.748 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) in x 5.748 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))) in x 5.748 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) 5.748 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))) in x 5.748 * [taylor]: Taking taylor expansion of 1 in x 5.748 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 5.748 * [taylor]: Taking taylor expansion of 1.0 in x 5.748 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 5.748 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 5.748 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 5.748 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.748 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.748 * [taylor]: Taking taylor expansion of -1 in x 5.748 * [taylor]: Taking taylor expansion of x in x 5.749 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.749 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.749 * [taylor]: Taking taylor expansion of 1.0 in x 5.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.749 * [taylor]: Taking taylor expansion of x in x 5.773 * [taylor]: Taking taylor expansion of 1 in x 6.326 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 6.326 * [approximate]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) in (x) around 0 6.326 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) in x 6.326 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) 1) 6.326 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) in x 6.327 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))))) in x 6.327 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) 6.327 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))))) in x 6.327 * [taylor]: Taking taylor expansion of 1 in x 6.327 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 6.327 * [taylor]: Taking taylor expansion of 1.0 in x 6.327 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 6.327 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 6.327 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 6.327 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.327 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.327 * [taylor]: Taking taylor expansion of x in x 6.327 * [taylor]: Taking taylor expansion of 1.0 in x 6.329 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.329 * [taylor]: Taking taylor expansion of x in x 6.359 * [taylor]: Taking taylor expansion of 1 in x 6.359 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) in x 6.359 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) 1) 6.359 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) in x 6.359 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))))) in x 6.359 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))))) 6.359 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))))) in x 6.359 * [taylor]: Taking taylor expansion of 1 in x 6.359 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 6.359 * [taylor]: Taking taylor expansion of 1.0 in x 6.359 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 6.359 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 6.359 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 6.359 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 6.359 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 6.359 * [taylor]: Taking taylor expansion of x in x 6.359 * [taylor]: Taking taylor expansion of 1.0 in x 6.361 * [taylor]: Taking taylor expansion of (sqrt x) in x 6.361 * [taylor]: Taking taylor expansion of x in x 6.388 * [taylor]: Taking taylor expansion of 1 in x 7.502 * [approximate]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) in (x) around 0 7.502 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) in x 7.503 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) 1) 7.503 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) in x 7.503 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))) in x 7.503 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) 7.503 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))) in x 7.503 * [taylor]: Taking taylor expansion of 1 in x 7.503 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 7.503 * [taylor]: Taking taylor expansion of 1.0 in x 7.503 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 7.503 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 7.503 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 7.503 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 7.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.503 * [taylor]: Taking taylor expansion of x in x 7.504 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 7.504 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 7.504 * [taylor]: Taking taylor expansion of 1.0 in x 7.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.504 * [taylor]: Taking taylor expansion of x in x 7.521 * [taylor]: Taking taylor expansion of 1 in x 7.521 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) in x 7.521 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) 1) 7.521 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) in x 7.521 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))) in x 7.521 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))))) 7.521 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))))) in x 7.521 * [taylor]: Taking taylor expansion of 1 in x 7.521 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 7.521 * [taylor]: Taking taylor expansion of 1.0 in x 7.521 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 7.521 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 7.521 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 7.521 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 7.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.521 * [taylor]: Taking taylor expansion of x in x 7.522 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 7.522 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 7.522 * [taylor]: Taking taylor expansion of 1.0 in x 7.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.522 * [taylor]: Taking taylor expansion of x in x 7.538 * [taylor]: Taking taylor expansion of 1 in x 7.813 * [approximate]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) in (x) around 0 7.813 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) in x 7.813 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) 1) 7.813 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) in x 7.813 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))) in x 7.813 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) 7.813 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))) in x 7.813 * [taylor]: Taking taylor expansion of 1 in x 7.813 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 7.813 * [taylor]: Taking taylor expansion of 1.0 in x 7.813 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 7.813 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 7.813 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 7.813 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.813 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.813 * [taylor]: Taking taylor expansion of -1 in x 7.813 * [taylor]: Taking taylor expansion of x in x 7.815 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 7.815 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 7.815 * [taylor]: Taking taylor expansion of 1.0 in x 7.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.815 * [taylor]: Taking taylor expansion of x in x 7.831 * [taylor]: Taking taylor expansion of 1 in x 7.831 * [taylor]: Taking taylor expansion of (expm1 (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) in x 7.831 * [taylor]: Rewrote expression to (- (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) 1) 7.831 * [taylor]: Taking taylor expansion of (exp (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) in x 7.831 * [taylor]: Taking taylor expansion of (log1p (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))) in x 7.831 * [taylor]: Rewrote expression to (log (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))))) 7.831 * [taylor]: Taking taylor expansion of (+ 1 (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))))) in x 7.832 * [taylor]: Taking taylor expansion of 1 in x 7.832 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 7.832 * [taylor]: Taking taylor expansion of 1.0 in x 7.832 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 7.832 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 7.832 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 7.832 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 7.832 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.832 * [taylor]: Taking taylor expansion of -1 in x 7.832 * [taylor]: Taking taylor expansion of x in x 7.833 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 7.833 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 7.833 * [taylor]: Taking taylor expansion of 1.0 in x 7.833 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.833 * [taylor]: Taking taylor expansion of x in x 7.849 * [taylor]: Taking taylor expansion of 1 in x 8.127 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 8.127 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 8.127 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 8.127 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 8.127 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 8.127 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 8.127 * [taylor]: Taking taylor expansion of x in x 8.127 * [taylor]: Taking taylor expansion of 1.0 in x 8.129 * [taylor]: Taking taylor expansion of (sqrt x) in x 8.129 * [taylor]: Taking taylor expansion of x in x 8.136 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 8.136 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 8.136 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 8.136 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 8.136 * [taylor]: Taking taylor expansion of x in x 8.136 * [taylor]: Taking taylor expansion of 1.0 in x 8.138 * [taylor]: Taking taylor expansion of (sqrt x) in x 8.138 * [taylor]: Taking taylor expansion of x in x 8.205 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 8.205 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 8.205 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 8.205 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 8.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.205 * [taylor]: Taking taylor expansion of x in x 8.207 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 8.207 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 8.207 * [taylor]: Taking taylor expansion of 1.0 in x 8.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.207 * [taylor]: Taking taylor expansion of x in x 8.216 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 8.217 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 8.217 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 8.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.217 * [taylor]: Taking taylor expansion of x in x 8.218 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 8.218 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 8.218 * [taylor]: Taking taylor expansion of 1.0 in x 8.218 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.218 * [taylor]: Taking taylor expansion of x in x 8.246 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 8.246 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 8.246 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 8.246 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 8.246 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.246 * [taylor]: Taking taylor expansion of -1 in x 8.246 * [taylor]: Taking taylor expansion of x in x 8.248 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 8.248 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 8.248 * [taylor]: Taking taylor expansion of 1.0 in x 8.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.248 * [taylor]: Taking taylor expansion of x in x 8.257 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 8.257 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 8.257 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 8.257 * [taylor]: Taking taylor expansion of (/ -1 x) in x 8.257 * [taylor]: Taking taylor expansion of -1 in x 8.257 * [taylor]: Taking taylor expansion of x in x 8.258 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 8.259 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 8.259 * [taylor]: Taking taylor expansion of 1.0 in x 8.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 8.259 * [taylor]: Taking taylor expansion of x in x 8.295 * * * [progress]: simplifying candidates 8.298 * [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 (+ 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3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) 8.349 * * * [progress]: adding candidates to table 8.893 * [progress]: [Phase 3 of 3] Extracting. 8.893 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 8.896 * * * [regime-changes]: Trying 1 branch expressions: (x) 8.896 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # #) 8.938 * * * [regime]: Found split indices: #