18.881 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.029 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.030 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.031 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.032 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.067 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.076 * * * [progress]: generating series expansions 0.076 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.076 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.076 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.076 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.076 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.079 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.079 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.107 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.107 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.110 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.127 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.127 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.127 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.129 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.129 * [taylor]: Taking taylor expansion of -1 in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.130 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.130 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.132 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.132 * [taylor]: Taking taylor expansion of -1 in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.148 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.149 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.149 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of 1.0 in x 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.150 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of 1.0 in x 0.159 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.160 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.160 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.160 * [taylor]: Taking taylor expansion of 1.0 in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.161 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.161 * [taylor]: Taking taylor expansion of 1.0 in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.168 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.168 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.168 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.169 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.177 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.177 * [taylor]: Taking taylor expansion of 1.0 in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.185 * * * [progress]: simplifying candidates 0.187 * [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))))) 0.193 * * [simplify]: iteration 0 : 299 enodes (cost 1161 ) 0.199 * * [simplify]: iteration 1 : 921 enodes (cost 822 ) 0.223 * * [simplify]: iteration 2 : 5001 enodes (cost 744 ) 0.227 * [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))))) 0.227 * * * [progress]: adding candidates to table 0.360 * * [progress]: iteration 2 / 4 0.360 * * * [progress]: picking best candidate 0.366 * * * * [pick]: Picked # 0.367 * * * [progress]: localizing error 0.374 * * * [progress]: generating rewritten candidates 0.374 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.409 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.429 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.437 * * * [progress]: generating series expansions 0.437 * * * * [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 0.438 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.438 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.438 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of 1.0 in x 0.440 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.440 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.442 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.443 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.443 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.444 * [taylor]: Taking taylor expansion of x in x 0.524 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.525 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.525 * [taylor]: Taking taylor expansion of 1.0 in x 0.525 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.525 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.526 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.526 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.529 * [taylor]: Taking taylor expansion of 1.0 in x 0.529 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.529 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.529 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.529 * [taylor]: Taking taylor expansion of x in x 0.530 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.530 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.530 * [taylor]: Taking taylor expansion of 1.0 in x 0.530 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.551 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.551 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.551 * [taylor]: Taking taylor expansion of 1.0 in x 0.551 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.551 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.551 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.551 * [taylor]: Taking taylor expansion of -1 in x 0.551 * [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 0.555 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.555 * [taylor]: Taking taylor expansion of 1.0 in x 0.555 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.555 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.555 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.555 * [taylor]: Taking taylor expansion of -1 in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.564 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.564 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.564 * [taylor]: Taking taylor expansion of 1.0 in x 0.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.586 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.586 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.586 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.586 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.586 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of 1.0 in x 0.588 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.589 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.589 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.610 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.610 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.610 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.611 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.611 * [taylor]: Taking taylor expansion of 1.0 in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.613 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.613 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.614 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.614 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.614 * [taylor]: Taking taylor expansion of 1.0 in x 0.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.629 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.629 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.629 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.629 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.629 * [taylor]: Taking taylor expansion of -1 in x 0.629 * [taylor]: Taking taylor expansion of x in x 0.630 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.630 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.630 * [taylor]: Taking taylor expansion of 1.0 in x 0.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.630 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.632 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.632 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.632 * [taylor]: Taking taylor expansion of -1 in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.633 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.633 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.633 * [taylor]: Taking taylor expansion of 1.0 in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.655 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.655 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.655 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.655 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of 1.0 in x 0.657 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.657 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.657 * [taylor]: Taking taylor expansion of 1.0 in x 0.666 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.666 * [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 0.667 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.668 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.668 * [taylor]: Taking taylor expansion of 1.0 in x 0.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.668 * [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 0.677 * [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 0.687 * [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 ) 0.701 * * [simplify]: iteration 1 : 1675 enodes (cost 716 ) 0.732 * * [simplify]: iteration 2 : 5001 enodes (cost 675 ) 0.735 * [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))))) 0.736 * * * [progress]: adding candidates to table 0.944 * * [progress]: iteration 3 / 4 0.944 * * * [progress]: picking best candidate 0.959 * * * * [pick]: Picked # 0.959 * * * [progress]: localizing error 0.972 * * * [progress]: generating rewritten candidates 0.972 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.997 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 0.999 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 1.002 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 1.007 * * * [progress]: generating series expansions 1.007 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.007 * [approximate]: Taking taylor expansion of (pow (pow (+ x 1.0) 2) 1/3) in (x) around 0 1.007 * [taylor]: Taking taylor expansion of (pow (pow (+ x 1.0) 2) 1/3) in x 1.007 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ x 1.0) 2)))) in x 1.007 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ x 1.0) 2))) in x 1.007 * [taylor]: Taking taylor expansion of 1/3 in x 1.008 * [taylor]: Taking taylor expansion of (log (pow (+ x 1.0) 2)) in x 1.008 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 1.008 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.010 * [taylor]: Taking taylor expansion of (pow (pow (+ x 1.0) 2) 1/3) in x 1.010 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ x 1.0) 2)))) in x 1.010 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ x 1.0) 2))) in x 1.010 * [taylor]: Taking taylor expansion of 1/3 in x 1.010 * [taylor]: Taking taylor expansion of (log (pow (+ x 1.0) 2)) in x 1.010 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 1.010 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.011 * [taylor]: Taking taylor expansion of 1.0 in x 1.053 * [approximate]: Taking taylor expansion of (pow (pow (+ 1.0 (/ 1 x)) 2) 1/3) in (x) around 0 1.053 * [taylor]: Taking taylor expansion of (pow (pow (+ 1.0 (/ 1 x)) 2) 1/3) in x 1.053 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ 1.0 (/ 1 x)) 2)))) in x 1.053 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ 1.0 (/ 1 x)) 2))) in x 1.053 * [taylor]: Taking taylor expansion of 1/3 in x 1.053 * [taylor]: Taking taylor expansion of (log (pow (+ 1.0 (/ 1 x)) 2)) in x 1.053 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 2) in x 1.053 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.053 * [taylor]: Taking taylor expansion of 1.0 in x 1.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.053 * [taylor]: Taking taylor expansion of x in x 1.054 * [taylor]: Taking taylor expansion of (pow (pow (+ 1.0 (/ 1 x)) 2) 1/3) in x 1.054 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ 1.0 (/ 1 x)) 2)))) in x 1.054 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ 1.0 (/ 1 x)) 2))) in x 1.054 * [taylor]: Taking taylor expansion of 1/3 in x 1.054 * [taylor]: Taking taylor expansion of (log (pow (+ 1.0 (/ 1 x)) 2)) in x 1.054 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 2) in x 1.054 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.054 * [taylor]: Taking taylor expansion of 1.0 in x 1.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.054 * [taylor]: Taking taylor expansion of x in x 1.086 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 x)) 2) 1/3) in (x) around 0 1.086 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 x)) 2) 1/3) in x 1.086 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 x)) 2)))) in x 1.086 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 x)) 2))) in x 1.087 * [taylor]: Taking taylor expansion of 1/3 in x 1.087 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 x)) 2)) in x 1.087 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 1.087 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.087 * [taylor]: Taking taylor expansion of 1.0 in x 1.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.087 * [taylor]: Taking taylor expansion of x in x 1.088 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 x)) 2) 1/3) in x 1.088 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 x)) 2)))) in x 1.088 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 x)) 2))) in x 1.088 * [taylor]: Taking taylor expansion of 1/3 in x 1.088 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 x)) 2)) in x 1.088 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 1.088 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.088 * [taylor]: Taking taylor expansion of 1.0 in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.115 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.115 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in (x) around 0 1.115 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 1.115 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 1.115 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 1.115 * [taylor]: Taking taylor expansion of 1/3 in x 1.115 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.115 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of 1.0 in x 1.117 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 1.117 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 1.117 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 1.117 * [taylor]: Taking taylor expansion of 1/3 in x 1.117 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.117 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.117 * [taylor]: Taking taylor expansion of x in x 1.117 * [taylor]: Taking taylor expansion of 1.0 in x 1.150 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in (x) around 0 1.150 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 1.150 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 1.150 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 1.150 * [taylor]: Taking taylor expansion of 1/3 in x 1.150 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.151 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.151 * [taylor]: Taking taylor expansion of 1.0 in x 1.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 1.152 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 1.152 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 1.152 * [taylor]: Taking taylor expansion of 1/3 in x 1.152 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.152 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.152 * [taylor]: Taking taylor expansion of 1.0 in x 1.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.177 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in (x) around 0 1.177 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 1.177 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 1.177 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 1.177 * [taylor]: Taking taylor expansion of 1/3 in x 1.177 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.177 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.177 * [taylor]: Taking taylor expansion of 1.0 in x 1.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.177 * [taylor]: Taking taylor expansion of x in x 1.179 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 1.179 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 1.179 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 1.179 * [taylor]: Taking taylor expansion of 1/3 in x 1.179 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.179 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.179 * [taylor]: Taking taylor expansion of 1.0 in x 1.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.179 * [taylor]: Taking taylor expansion of x in x 1.203 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 1.203 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in (x) around 0 1.203 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 1.203 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 1.204 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 1.204 * [taylor]: Taking taylor expansion of 1/3 in x 1.204 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.204 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.204 * [taylor]: Taking taylor expansion of 1.0 in x 1.206 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 1.206 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 1.206 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 1.206 * [taylor]: Taking taylor expansion of 1/3 in x 1.206 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.206 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.206 * [taylor]: Taking taylor expansion of 1.0 in x 1.247 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in (x) around 0 1.247 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 1.247 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 1.247 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 1.247 * [taylor]: Taking taylor expansion of 1/3 in x 1.247 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.247 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.247 * [taylor]: Taking taylor expansion of 1.0 in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 1.248 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 1.248 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 1.248 * [taylor]: Taking taylor expansion of 1/3 in x 1.248 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.248 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.248 * [taylor]: Taking taylor expansion of 1.0 in x 1.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.267 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in (x) around 0 1.267 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 1.267 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 1.267 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 1.267 * [taylor]: Taking taylor expansion of 1/3 in x 1.267 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.267 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.267 * [taylor]: Taking taylor expansion of 1.0 in x 1.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.268 * [taylor]: Taking taylor expansion of x in x 1.270 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 1.270 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 1.270 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 1.270 * [taylor]: Taking taylor expansion of 1/3 in x 1.270 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.270 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.270 * [taylor]: Taking taylor expansion of 1.0 in x 1.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.296 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 1.296 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in (x) around 0 1.296 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 1.296 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 1.296 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 1.296 * [taylor]: Taking taylor expansion of 1/3 in x 1.296 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.296 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of 1.0 in x 1.298 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 1.298 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 1.298 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 1.298 * [taylor]: Taking taylor expansion of 1/3 in x 1.298 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.298 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.298 * [taylor]: Taking taylor expansion of 1.0 in x 1.340 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in (x) around 0 1.340 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 1.340 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 1.340 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 1.340 * [taylor]: Taking taylor expansion of 1/3 in x 1.340 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.340 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.340 * [taylor]: Taking taylor expansion of 1.0 in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.341 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 1.341 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 1.341 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 1.341 * [taylor]: Taking taylor expansion of 1/3 in x 1.341 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.341 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.341 * [taylor]: Taking taylor expansion of 1.0 in x 1.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.341 * [taylor]: Taking taylor expansion of x in x 1.361 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in (x) around 0 1.361 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 1.361 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 1.361 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 1.361 * [taylor]: Taking taylor expansion of 1/3 in x 1.361 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.361 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.361 * [taylor]: Taking taylor expansion of 1.0 in x 1.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.361 * [taylor]: Taking taylor expansion of x in x 1.363 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 1.363 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 1.363 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 1.363 * [taylor]: Taking taylor expansion of 1/3 in x 1.363 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.363 * [taylor]: Taking taylor expansion of 1.0 in x 1.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.363 * [taylor]: Taking taylor expansion of x in x 1.388 * * * [progress]: simplifying candidates 1.390 * [simplify]: Simplifying using # : (expm1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (log1p (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (+ 1/3 1/3) (+ 1 1) (* (+ x 1.0) (+ x 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ 1 1) (+ (log (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0)))) (log (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (exp (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (+ x 1.0) (+ x 1.0)) (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (* (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (* (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- x 1.0))) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (- x 1.0)) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (- x 1.0)) (cbrt (- x 1.0))) (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0))))) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* 1 1) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* 2 1/3) (* 2 1) (* (cbrt (+ x 1.0)) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (cbrt (+ x 1.0)) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (+ x 1.0)) (cbrt 1)) (* (cbrt (+ x 1.0)) (cbrt 1)) (* (cbrt (+ x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0))))) (* (cbrt (+ x 1.0)) (sqrt (cbrt (+ x 1.0)))) (* (cbrt (+ x 1.0)) 1) (* (cbrt (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (* (sqrt (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (+ x 1.0)) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ x 1.0))) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (+ x 1.0))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt 1) (cbrt (+ x 1.0)) (cbrt 1) (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (* (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt 1) (cbrt (+ x 1.0)) (cbrt 1) (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (* (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt 1) (cbrt (+ x 1.0)) (cbrt 1) (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (* (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (- (+ (* 0.5555555555555556 (* (pow x 2) (pow 1.0 1/3))) (+ (* 0.6666666666666666 (* x (pow 1.0 1/3))) (pow 1.0 1/3))) (* 0.6666666666666666 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (* 0.6666666666666666 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 4)) 1/3))) (- (+ (* 0.6666666666666666 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 4)) 1/3))) (- (+ (* 0.05555555555555555 (* (pow x 2) (pow 1.0 1/3))) (+ (* 0.3333333333333333 (* x (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (* 0.3333333333333333 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))) (- (+ (* 0.05555555555555555 (* (pow x 2) (pow 1.0 1/3))) (+ (* 0.3333333333333333 (* x (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (* 0.3333333333333333 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))) (- (+ (* 0.05555555555555555 (* (pow x 2) (pow 1.0 1/3))) (+ (* 0.3333333333333333 (* x (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (* 0.3333333333333333 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))) 1.396 * * [simplify]: iteration 0 : 321 enodes (cost 818 ) 1.403 * * [simplify]: iteration 1 : 1071 enodes (cost 769 ) 1.428 * * [simplify]: iteration 2 : 4756 enodes (cost 694 ) 1.544 * * [simplify]: iteration 3 : 5001 enodes (cost 692 ) 1.548 * [simplify]: Simplified to: (expm1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (log1p (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) 2/3 2 (pow (cbrt (+ x 1.0)) 6) (pow (sqrt (cbrt (+ x 1.0))) 4) 2 (* 2 (log (cbrt (+ x 1.0)))) (* 2 (log (cbrt (+ x 1.0)))) (exp (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (pow (cbrt (+ x 1.0)) 6) (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (pow (cbrt (+ x 1.0)) 6) (fabs (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (* (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (* (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- x 1.0))) (* (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- x 1.0))) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (- x 1.0)) (cbrt (- x 1.0))) (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) 1 (pow (sqrt (cbrt (+ x 1.0))) 4) 1 (pow (sqrt (cbrt (+ x 1.0))) 4) 1 (pow (sqrt (cbrt (+ x 1.0))) 4) 1 (pow (sqrt (cbrt (+ x 1.0))) 4) (pow (cbrt (cbrt (+ x 1.0))) 4) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) 1 (pow (sqrt (cbrt (+ x 1.0))) 4) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) 2/3 2 (* (cbrt (+ x 1.0)) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (cbrt (+ x 1.0)) (cbrt (sqrt (+ x 1.0)))) (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) (* (pow (cbrt (cbrt (+ x 1.0))) 4) (cbrt (cbrt (+ x 1.0)))) (pow (sqrt (cbrt (+ x 1.0))) 3) (cbrt (+ x 1.0)) (pow (cbrt (cbrt (+ x 1.0))) 4) (* (cbrt (+ x 1.0)) (cbrt (sqrt (+ x 1.0)))) (pow (sqrt (cbrt (+ x 1.0))) 4) (pow (sqrt (cbrt (+ x 1.0))) 4) (pow (cbrt (cbrt (+ x 1.0))) 4) (pow (sqrt (cbrt (+ x 1.0))) 3) (pow (sqrt (cbrt (+ x 1.0))) 4) (* (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (+ x 1.0)) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (+ x 1.0)) (cbrt (- (* x x) (* 1.0 1.0)))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) 1 (cbrt (+ x 1.0)) 1 (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (+ x 1.0) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) 1 (cbrt (+ x 1.0)) 1 (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (+ x 1.0) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) 1 (cbrt (+ x 1.0)) 1 (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (+ x 1.0) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (fma (pow 1.0 1/3) (fma x 0.6666666666666666 1) (* (pow x 2) (- (* (pow 1.0 1/3) 0.5555555555555556) (* (pow (/ 1 (pow 1.0 5)) 1/3) 0.6666666666666666)))) (fma (pow (/ 1 x) 1/3) 0.6666666666666666 (- (pow (/ 1 x) -2/3) (* 0.1111111111111111 (pow (/ 1 (pow x 4)) 1/3)))) (fma (pow (/ 1 x) 1/3) 0.6666666666666666 (- (pow (/ -1 x) -2/3) (* 0.1111111111111111 (pow (/ 1 (pow x 4)) 1/3)))) (fma (pow 1.0 1/3) (+ (* 0.05555555555555555 (pow x 2)) (* 0.3333333333333333 x)) (- (pow 1.0 1/3) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3))))) (fma (pow (/ 1 (pow x 2)) 1/3) 0.3333333333333333 (- (pow (/ 1 x) -1/3) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3)))) (+ (* (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x) (- 0.3333333333333333 (/ 0.1111111111111111 x))) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (fma (pow 1.0 1/3) (+ (* 0.05555555555555555 (pow x 2)) (* 0.3333333333333333 x)) (- (pow 1.0 1/3) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3))))) (fma (pow (/ 1 (pow x 2)) 1/3) 0.3333333333333333 (- (pow (/ 1 x) -1/3) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3)))) (+ (* (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x) (- 0.3333333333333333 (/ 0.1111111111111111 x))) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (fma (pow 1.0 1/3) (+ (* 0.05555555555555555 (pow x 2)) (* 0.3333333333333333 x)) (- (pow 1.0 1/3) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3))))) (fma (pow (/ 1 (pow x 2)) 1/3) 0.3333333333333333 (- (pow (/ 1 x) -1/3) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3)))) (+ (* (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x) (- 0.3333333333333333 (/ 0.1111111111111111 x))) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) 1.549 * * * [progress]: adding candidates to table 1.922 * * [progress]: iteration 4 / 4 1.922 * * * [progress]: picking best candidate 1.937 * * * * [pick]: Picked # 1.937 * * * [progress]: localizing error 1.948 * * * [progress]: generating rewritten candidates 1.948 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.102 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.135 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.166 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.224 * * * [progress]: generating series expansions 2.224 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.225 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.225 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.225 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.225 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.225 * [taylor]: Taking taylor expansion of 1.0 in x 2.226 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.226 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.226 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.226 * [taylor]: Taking taylor expansion of x in x 2.226 * [taylor]: Taking taylor expansion of 1.0 in x 2.228 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.228 * [taylor]: Taking taylor expansion of x in x 2.232 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.232 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.232 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.232 * [taylor]: Taking taylor expansion of 1.0 in x 2.233 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.233 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.233 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.233 * [taylor]: Taking taylor expansion of x in x 2.233 * [taylor]: Taking taylor expansion of 1.0 in x 2.235 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.235 * [taylor]: Taking taylor expansion of x in x 2.301 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.301 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.301 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.301 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.301 * [taylor]: Taking taylor expansion of 1.0 in x 2.302 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.302 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.302 * [taylor]: Taking taylor expansion of x in x 2.304 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.304 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.304 * [taylor]: Taking taylor expansion of 1.0 in x 2.304 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.304 * [taylor]: Taking taylor expansion of x in x 2.308 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.308 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.308 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.308 * [taylor]: Taking taylor expansion of 1.0 in x 2.309 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.309 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.309 * [taylor]: Taking taylor expansion of x in x 2.310 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.310 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.310 * [taylor]: Taking taylor expansion of 1.0 in x 2.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.310 * [taylor]: Taking taylor expansion of x in x 2.348 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.348 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.348 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.348 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.348 * [taylor]: Taking taylor expansion of 1.0 in x 2.348 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.349 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.349 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.349 * [taylor]: Taking taylor expansion of -1 in x 2.349 * [taylor]: Taking taylor expansion of x in x 2.350 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.350 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.350 * [taylor]: Taking taylor expansion of 1.0 in x 2.350 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.350 * [taylor]: Taking taylor expansion of x in x 2.354 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.354 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.354 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.354 * [taylor]: Taking taylor expansion of 1.0 in x 2.355 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.361 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.361 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.361 * [taylor]: Taking taylor expansion of -1 in x 2.361 * [taylor]: Taking taylor expansion of x in x 2.363 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.363 * [taylor]: Taking taylor expansion of 1.0 in x 2.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.363 * [taylor]: Taking taylor expansion of x in x 2.403 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.403 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.403 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.403 * [taylor]: Taking taylor expansion of 1.0 in x 2.403 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.403 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.404 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.404 * [taylor]: Taking taylor expansion of x in x 2.404 * [taylor]: Taking taylor expansion of 1.0 in x 2.405 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.405 * [taylor]: Taking taylor expansion of x in x 2.407 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.407 * [taylor]: Taking taylor expansion of 1.0 in x 2.407 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.408 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.408 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.408 * [taylor]: Taking taylor expansion of x in x 2.408 * [taylor]: Taking taylor expansion of 1.0 in x 2.409 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.409 * [taylor]: Taking taylor expansion of x in x 2.493 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.494 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.494 * [taylor]: Taking taylor expansion of 1.0 in x 2.494 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.494 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.494 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.494 * [taylor]: Taking taylor expansion of x in x 2.495 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.495 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.495 * [taylor]: Taking taylor expansion of 1.0 in x 2.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.495 * [taylor]: Taking taylor expansion of x in x 2.498 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.498 * [taylor]: Taking taylor expansion of 1.0 in x 2.498 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.498 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.498 * [taylor]: Taking taylor expansion of x in x 2.499 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.499 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.499 * [taylor]: Taking taylor expansion of 1.0 in x 2.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.499 * [taylor]: Taking taylor expansion of x in x 2.520 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.520 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.520 * [taylor]: Taking taylor expansion of 1.0 in x 2.520 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.520 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.520 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.520 * [taylor]: Taking taylor expansion of -1 in x 2.520 * [taylor]: Taking taylor expansion of x in x 2.521 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.521 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.521 * [taylor]: Taking taylor expansion of 1.0 in x 2.521 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.521 * [taylor]: Taking taylor expansion of x in x 2.524 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.524 * [taylor]: Taking taylor expansion of 1.0 in x 2.524 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.524 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.524 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.524 * [taylor]: Taking taylor expansion of -1 in x 2.524 * [taylor]: Taking taylor expansion of x in x 2.525 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.525 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.525 * [taylor]: Taking taylor expansion of 1.0 in x 2.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.525 * [taylor]: Taking taylor expansion of x in x 2.554 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.554 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.554 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.554 * [taylor]: Taking taylor expansion of 1.0 in x 2.554 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.554 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.554 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.554 * [taylor]: Taking taylor expansion of x in x 2.554 * [taylor]: Taking taylor expansion of 1.0 in x 2.556 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.556 * [taylor]: Taking taylor expansion of x in x 2.558 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.558 * [taylor]: Taking taylor expansion of 1.0 in x 2.558 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.558 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.558 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.558 * [taylor]: Taking taylor expansion of x in x 2.558 * [taylor]: Taking taylor expansion of 1.0 in x 2.560 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.560 * [taylor]: Taking taylor expansion of x in x 2.643 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.643 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.643 * [taylor]: Taking taylor expansion of 1.0 in x 2.643 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.643 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.643 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.643 * [taylor]: Taking taylor expansion of x in x 2.645 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.645 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.645 * [taylor]: Taking taylor expansion of 1.0 in x 2.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.645 * [taylor]: Taking taylor expansion of x in x 2.647 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.647 * [taylor]: Taking taylor expansion of 1.0 in x 2.647 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.647 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.647 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.647 * [taylor]: Taking taylor expansion of x in x 2.648 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.649 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.649 * [taylor]: Taking taylor expansion of 1.0 in x 2.649 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.649 * [taylor]: Taking taylor expansion of x in x 2.669 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.670 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.670 * [taylor]: Taking taylor expansion of 1.0 in x 2.670 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.670 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.670 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.670 * [taylor]: Taking taylor expansion of -1 in x 2.670 * [taylor]: Taking taylor expansion of x in x 2.671 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.671 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.671 * [taylor]: Taking taylor expansion of 1.0 in x 2.671 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.671 * [taylor]: Taking taylor expansion of x in x 2.674 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.674 * [taylor]: Taking taylor expansion of 1.0 in x 2.674 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.674 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.674 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.674 * [taylor]: Taking taylor expansion of -1 in x 2.674 * [taylor]: Taking taylor expansion of x in x 2.675 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.675 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.675 * [taylor]: Taking taylor expansion of 1.0 in x 2.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.675 * [taylor]: Taking taylor expansion of x in x 2.697 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.697 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in (x) around 0 2.697 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 2.697 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.697 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.697 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.697 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.697 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.697 * [taylor]: Taking taylor expansion of x in x 2.697 * [taylor]: Taking taylor expansion of 1.0 in x 2.699 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.699 * [taylor]: Taking taylor expansion of x in x 2.723 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.723 * [taylor]: Taking taylor expansion of 1.0 in x 2.723 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 2.724 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.724 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.724 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.724 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.724 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.724 * [taylor]: Taking taylor expansion of x in x 2.724 * [taylor]: Taking taylor expansion of 1.0 in x 2.725 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.725 * [taylor]: Taking taylor expansion of x in x 2.743 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.743 * [taylor]: Taking taylor expansion of 1.0 in x 2.908 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 2.908 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.908 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.908 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.908 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.908 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.908 * [taylor]: Taking taylor expansion of x in x 2.909 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.909 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.909 * [taylor]: Taking taylor expansion of 1.0 in x 2.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.909 * [taylor]: Taking taylor expansion of x in x 2.920 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.920 * [taylor]: Taking taylor expansion of 1.0 in x 2.921 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.921 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.921 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.921 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.921 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.921 * [taylor]: Taking taylor expansion of x in x 2.922 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.922 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.922 * [taylor]: Taking taylor expansion of 1.0 in x 2.922 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.922 * [taylor]: Taking taylor expansion of x in x 2.933 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.933 * [taylor]: Taking taylor expansion of 1.0 in x 2.984 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 2.984 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.984 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.984 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.984 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.984 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.984 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.984 * [taylor]: Taking taylor expansion of -1 in x 2.984 * [taylor]: Taking taylor expansion of x in x 2.985 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.985 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.985 * [taylor]: Taking taylor expansion of 1.0 in x 2.985 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.986 * [taylor]: Taking taylor expansion of x in x 2.997 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.997 * [taylor]: Taking taylor expansion of 1.0 in x 2.998 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.998 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.998 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.998 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.998 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.998 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.998 * [taylor]: Taking taylor expansion of -1 in x 2.998 * [taylor]: Taking taylor expansion of x in x 2.999 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.999 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.999 * [taylor]: Taking taylor expansion of 1.0 in x 2.999 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.999 * [taylor]: Taking taylor expansion of x in x 3.010 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 3.010 * [taylor]: Taking taylor expansion of 1.0 in x 3.060 * * * [progress]: simplifying candidates 3.067 * [simplify]: Simplifying using # : (expm1 (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log1p (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (+ 1 1) (+ (log (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (exp (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (* (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))))) (cbrt (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (* (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ 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(* 0.5 (/ x (pow (sqrt 1.0) 3))))) (+ (+ (* (/ (pow x 2) 1.0) (/ +nan.0 1.0)) (/ (- (* +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 5/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (sqrt (sqrt 1.0))) (* 1/4 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3)))))) (+ (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0)))))) (* (* +nan.0 (pow x 2)) (- (sqrt (/ 1 (sqrt 1.0))) (sqrt (/ 1 (pow (sqrt 1.0) 5))))))) (+ (- (* (sqrt +nan.0) (sqrt 1.0)) (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow x 2))))) (* +nan.0 (- (/ (sqrt 1.0) (* (sqrt +nan.0) x)) (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow x 2)))))) (+ (- (* (sqrt +nan.0) (sqrt 1.0)) (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow x 2))))) (* +nan.0 (- (/ (sqrt 1.0) (* (sqrt +nan.0) x)) (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow x 2)))))) 3.191 * * * [progress]: adding candidates to table 3.989 * [progress]: [Phase 3 of 3] Extracting. 3.989 * * [regime]: Finding splitpoints for: (# # # # # # # #) 3.992 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.992 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 4.022 * * * [regime]: Found split indices: #