10.492 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.027 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.028 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.029 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.029 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.031 * * * * [pick]: Picked # 0.031 * * * [progress]: localizing error 0.039 * * * [progress]: generating rewritten candidates 0.039 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.051 * * * [progress]: generating series expansions 0.052 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.052 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.052 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.052 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.052 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of 1.0 in x 0.054 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.054 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.055 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.055 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.056 * [taylor]: Taking taylor expansion of x in x 0.056 * [taylor]: Taking taylor expansion of 1.0 in x 0.057 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.077 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.078 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.078 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.078 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.079 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.080 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.080 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.080 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.098 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.098 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.098 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.098 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.098 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.099 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.099 * [taylor]: Taking taylor expansion of -1 in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.101 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.101 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.101 * [taylor]: Taking taylor expansion of 1.0 in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.102 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.102 * [taylor]: Taking taylor expansion of -1 in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.125 * * * [progress]: simplifying candidates 0.126 * [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)) (- (+ (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))))) 0.132 * * [simplify]: iteration 0 : 252 enodes (cost 1065 ) 0.136 * * [simplify]: iteration 1 : 759 enodes (cost 733 ) 0.157 * * [simplify]: iteration 2 : 4363 enodes (cost 623 ) 0.260 * * [simplify]: iteration 3 : 5001 enodes (cost 593 ) 0.263 * [simplify]: Simplified to: (fma (- (sqrt x)) 1 (pow (cbrt (sqrt (+ x 1.0))) 3)) (- (sqrt x) (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)))) (fma (- (sqrt x)) 1 (pow (cbrt (sqrt (+ x 1.0))) 3)) (- (sqrt x) (sqrt x)) (fma (- (sqrt x)) 1 (pow (cbrt (sqrt (+ x 1.0))) 3)) (- (sqrt x) (sqrt x)) (fma (- (sqrt x)) 1 (pow (cbrt (sqrt (+ x 1.0))) 3)) (- (sqrt x) (sqrt x)) (fma (- (sqrt x)) 1 (pow (cbrt (sqrt (+ x 1.0))) 3)) (- (sqrt x) (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (- (sqrt x) (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (* (sqrt (cbrt x)) (- (fabs (cbrt x))))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (- (sqrt x) (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (- (sqrt x) (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (- (sqrt x) (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (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)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (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)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (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)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (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)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (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)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (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)) (+ (- (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) +nan.0) (/ +nan.0 (pow x 2))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) 0.263 * * * [progress]: adding candidates to table 0.349 * * [progress]: iteration 2 / 4 0.349 * * * [progress]: picking best candidate 0.352 * * * * [pick]: Picked # 0.352 * * * [progress]: localizing error 0.360 * * * [progress]: generating rewritten candidates 0.360 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.372 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.386 * * * [progress]: generating series expansions 0.386 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.387 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.387 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.387 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.387 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.391 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.391 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.391 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of 1.0 in x 0.393 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.476 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.476 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.476 * [taylor]: Taking taylor expansion of 1.0 in x 0.476 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.476 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.477 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.480 * [taylor]: Taking taylor expansion of 1.0 in x 0.480 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.480 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.481 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.481 * [taylor]: Taking taylor expansion of 1.0 in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.502 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.502 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.502 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.502 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.502 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.502 * [taylor]: Taking taylor expansion of -1 in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.503 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.503 * [taylor]: Taking taylor expansion of 1.0 in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.506 * [taylor]: Taking taylor expansion of 1.0 in x 0.506 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.506 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.506 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.506 * [taylor]: Taking taylor expansion of -1 in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.507 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.528 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.528 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.528 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.528 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.528 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.528 * [taylor]: Taking taylor expansion of x in x 0.528 * [taylor]: Taking taylor expansion of 1.0 in x 0.530 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.530 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.531 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.531 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.531 * [taylor]: Taking taylor expansion of 1.0 in x 0.533 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.557 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.558 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.558 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.559 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.559 * [taylor]: Taking taylor expansion of 1.0 in x 0.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.560 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.562 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.562 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.562 * [taylor]: Taking taylor expansion of 1.0 in x 0.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.562 * [taylor]: Taking taylor expansion of x in x 0.577 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.577 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.577 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.577 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.577 * [taylor]: Taking taylor expansion of -1 in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.578 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.578 * [taylor]: Taking taylor expansion of 1.0 in x 0.578 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.580 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.580 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.580 * [taylor]: Taking taylor expansion of -1 in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.581 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.596 * * * [progress]: simplifying candidates 0.597 * [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)) (- (+ (* 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))))) 0.603 * * [simplify]: iteration 0 : 356 enodes (cost 693 ) 0.610 * * [simplify]: iteration 1 : 1446 enodes (cost 627 ) 0.639 * * [simplify]: iteration 2 : 5001 enodes (cost 586 ) 0.641 * [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)) (+ (+ (/ 1.0 (sqrt 1.0)) (fma 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)) (- (fma +nan.0 (/ x (/ 1.0 x)) (* 0.5 (/ x (pow (sqrt 1.0) 3))))))) (fma +nan.0 (* (/ x 1.0) (/ x 1.0)) (fma (- +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))))) 0.642 * * * [progress]: adding candidates to table 0.974 * * [progress]: iteration 3 / 4 0.974 * * * [progress]: picking best candidate 0.985 * * * * [pick]: Picked # 0.985 * * * [progress]: localizing error 0.995 * * * [progress]: generating rewritten candidates 0.995 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.029 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.042 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.051 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.110 * * * [progress]: generating series expansions 1.110 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.111 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.111 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.111 * [taylor]: Taking taylor expansion of 1.0 in x 1.111 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.111 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.111 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.111 * [taylor]: Taking taylor expansion of 1.0 in x 1.113 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.116 * [taylor]: Taking taylor expansion of 1.0 in x 1.116 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.116 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.116 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.116 * [taylor]: Taking taylor expansion of x in x 1.116 * [taylor]: Taking taylor expansion of 1.0 in x 1.118 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.203 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.203 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.204 * [taylor]: Taking taylor expansion of 1.0 in x 1.204 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.204 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.205 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.205 * [taylor]: Taking taylor expansion of 1.0 in x 1.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.208 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.208 * [taylor]: Taking taylor expansion of 1.0 in x 1.208 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.208 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.208 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.208 * [taylor]: Taking taylor expansion of x in x 1.209 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.209 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.209 * [taylor]: Taking taylor expansion of 1.0 in x 1.209 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.209 * [taylor]: Taking taylor expansion of x in x 1.234 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.234 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.234 * [taylor]: Taking taylor expansion of 1.0 in x 1.234 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.234 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.234 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.234 * [taylor]: Taking taylor expansion of -1 in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.235 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.235 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.235 * [taylor]: Taking taylor expansion of 1.0 in x 1.235 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.235 * [taylor]: Taking taylor expansion of x in x 1.238 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.238 * [taylor]: Taking taylor expansion of 1.0 in x 1.238 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.238 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.238 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.238 * [taylor]: Taking taylor expansion of -1 in x 1.238 * [taylor]: Taking taylor expansion of x in x 1.239 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.239 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.239 * [taylor]: Taking taylor expansion of 1.0 in x 1.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.261 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.262 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 1.262 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.262 * [taylor]: Taking taylor expansion of 1.0 in x 1.262 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.262 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.262 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.262 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.262 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.262 * [taylor]: Taking taylor expansion of x in x 1.262 * [taylor]: Taking taylor expansion of 1.0 in x 1.264 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.264 * [taylor]: Taking taylor expansion of x in x 1.281 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.281 * [taylor]: Taking taylor expansion of 1.0 in x 1.281 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.281 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.281 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.281 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.281 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.281 * [taylor]: Taking taylor expansion of x in x 1.281 * [taylor]: Taking taylor expansion of 1.0 in x 1.283 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.283 * [taylor]: Taking taylor expansion of x in x 1.460 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 1.460 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.460 * [taylor]: Taking taylor expansion of 1.0 in x 1.460 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.460 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.460 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.460 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.460 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.460 * [taylor]: Taking taylor expansion of x in x 1.461 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.461 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.461 * [taylor]: Taking taylor expansion of 1.0 in x 1.461 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.461 * [taylor]: Taking taylor expansion of x in x 1.475 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.475 * [taylor]: Taking taylor expansion of 1.0 in x 1.475 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.475 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.475 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.475 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.475 * [taylor]: Taking taylor expansion of x in x 1.476 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.476 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.476 * [taylor]: Taking taylor expansion of 1.0 in x 1.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.476 * [taylor]: Taking taylor expansion of x in x 1.522 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 1.522 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.522 * [taylor]: Taking taylor expansion of 1.0 in x 1.522 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.522 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.522 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.522 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.522 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.522 * [taylor]: Taking taylor expansion of -1 in x 1.522 * [taylor]: Taking taylor expansion of x in x 1.523 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.523 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.523 * [taylor]: Taking taylor expansion of 1.0 in x 1.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.534 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.534 * [taylor]: Taking taylor expansion of 1.0 in x 1.534 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.534 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.534 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.534 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.534 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.534 * [taylor]: Taking taylor expansion of -1 in x 1.534 * [taylor]: Taking taylor expansion of x in x 1.536 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.536 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.536 * [taylor]: Taking taylor expansion of 1.0 in x 1.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.536 * [taylor]: Taking taylor expansion of x in x 1.585 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.585 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.585 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.585 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.585 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.585 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.585 * [taylor]: Taking taylor expansion of x in x 1.585 * [taylor]: Taking taylor expansion of 1.0 in x 1.587 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.587 * [taylor]: Taking taylor expansion of x in x 1.593 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.593 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.593 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.593 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.593 * [taylor]: Taking taylor expansion of x in x 1.593 * [taylor]: Taking taylor expansion of 1.0 in x 1.595 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.595 * [taylor]: Taking taylor expansion of x in x 1.658 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.658 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.658 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.658 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.658 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.658 * [taylor]: Taking taylor expansion of x in x 1.659 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.659 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.659 * [taylor]: Taking taylor expansion of 1.0 in x 1.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.668 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.668 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.668 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.668 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.668 * [taylor]: Taking taylor expansion of x in x 1.670 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.670 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.670 * [taylor]: Taking taylor expansion of 1.0 in x 1.670 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.670 * [taylor]: Taking taylor expansion of x in x 1.698 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.698 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.698 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.698 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.698 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.698 * [taylor]: Taking taylor expansion of -1 in x 1.698 * [taylor]: Taking taylor expansion of x in x 1.699 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.699 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.699 * [taylor]: Taking taylor expansion of 1.0 in x 1.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.699 * [taylor]: Taking taylor expansion of x in x 1.712 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.712 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.712 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.712 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.712 * [taylor]: Taking taylor expansion of -1 in x 1.712 * [taylor]: Taking taylor expansion of x in x 1.714 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.714 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.714 * [taylor]: Taking taylor expansion of 1.0 in x 1.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.714 * [taylor]: Taking taylor expansion of x in x 1.744 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.744 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.744 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.744 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.744 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.744 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.744 * [taylor]: Taking taylor expansion of x in x 1.744 * [taylor]: Taking taylor expansion of 1.0 in x 1.746 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.746 * [taylor]: Taking taylor expansion of x in x 1.753 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.753 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.753 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.753 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.753 * [taylor]: Taking taylor expansion of x in x 1.753 * [taylor]: Taking taylor expansion of 1.0 in x 1.755 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.755 * [taylor]: Taking taylor expansion of x in x 1.822 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.822 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.822 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.822 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.822 * [taylor]: Taking taylor expansion of x in x 1.823 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.824 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.824 * [taylor]: Taking taylor expansion of 1.0 in x 1.824 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.824 * [taylor]: Taking taylor expansion of x in x 1.833 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.833 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.833 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.833 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.833 * [taylor]: Taking taylor expansion of x in x 1.834 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.834 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.834 * [taylor]: Taking taylor expansion of 1.0 in x 1.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.834 * [taylor]: Taking taylor expansion of x in x 1.863 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.863 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.863 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.863 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.863 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.863 * [taylor]: Taking taylor expansion of -1 in x 1.863 * [taylor]: Taking taylor expansion of x in x 1.864 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.864 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.864 * [taylor]: Taking taylor expansion of 1.0 in x 1.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.864 * [taylor]: Taking taylor expansion of x in x 1.881 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.881 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.881 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.881 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.881 * [taylor]: Taking taylor expansion of -1 in x 1.881 * [taylor]: Taking taylor expansion of x in x 1.882 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.882 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.882 * [taylor]: Taking taylor expansion of 1.0 in x 1.882 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.882 * [taylor]: Taking taylor expansion of x in x 1.912 * * * [progress]: simplifying candidates 1.924 * [simplify]: Simplifying using # : (expm1 (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log1p (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (- (log (+ 1.0 0)) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (log (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (exp (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (* (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 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1.0)) (sqrt x))))) (exp (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (pow (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (pow (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 3) (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- 0 1.0) (- (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (cbrt (+ 1.0 0)) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (/ (fabs (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ 1.0 0)))) (/ (cbrt (+ 1.0 0)) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (sqrt 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(* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (+ (- (fma 1/4 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (sqrt (sqrt 1.0))) (fma (* +nan.0 (pow x 2)) (sqrt (/ 1 (pow (sqrt 1.0) 3))) (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7))))))) (- (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0))))) (fma +nan.0 (* (pow x 2) (sqrt (/ 1 (sqrt 1.0)))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (+ (- (fma 1/4 (* x (sqrt (/ 1 (pow (sqrt 1.0) 3)))) (sqrt (sqrt 1.0))) (fma (* +nan.0 (pow x 2)) (sqrt (/ 1 (pow (sqrt 1.0) 3))) (* 3/32 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7))))))) (- (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0))))) (fma +nan.0 (* (pow x 2) (sqrt (/ 1 (sqrt 1.0)))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) 2.080 * * * [progress]: adding candidates to table 2.677 * * [progress]: iteration 4 / 4 2.677 * * * [progress]: picking best candidate 2.692 * * * * [pick]: Picked # 2.692 * * * [progress]: localizing error 2.721 * * * [progress]: generating rewritten candidates 2.721 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 2) 2.727 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 1) 2.737 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1 1) 2.740 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 2.755 * * * [progress]: generating series expansions 2.755 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 2) 2.756 * [approximate]: Taking taylor expansion of (- x (sqrt (* x (+ x 1.0)))) in (x) around 0 2.756 * [taylor]: Taking taylor expansion of (- x (sqrt (* x (+ x 1.0)))) in x 2.756 * [taylor]: Taking taylor expansion of x in x 2.756 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 2.756 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 2.756 * [taylor]: Taking taylor expansion of x in x 2.756 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.756 * [taylor]: Taking taylor expansion of x in x 2.756 * [taylor]: Taking taylor expansion of 1.0 in x 2.759 * [taylor]: Taking taylor expansion of (- x (sqrt (* x (+ x 1.0)))) in x 2.759 * [taylor]: Taking taylor expansion of x in x 2.759 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 2.759 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 2.759 * [taylor]: Taking taylor expansion of x in x 2.759 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.759 * [taylor]: Taking taylor expansion of x in x 2.759 * [taylor]: Taking taylor expansion of 1.0 in x 2.772 * [approximate]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ (+ 1.0 (/ 1 x)) x))) in (x) around 0 2.773 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ (+ 1.0 (/ 1 x)) x))) in x 2.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.773 * [taylor]: Taking taylor expansion of x in x 2.773 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 2.773 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 2.773 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.773 * [taylor]: Taking taylor expansion of 1.0 in x 2.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.773 * [taylor]: Taking taylor expansion of x in x 2.773 * [taylor]: Taking taylor expansion of x in x 2.776 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ (+ 1.0 (/ 1 x)) x))) in x 2.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.777 * [taylor]: Taking taylor expansion of x in x 2.777 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 2.777 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 2.777 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.777 * [taylor]: Taking taylor expansion of 1.0 in x 2.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.777 * [taylor]: Taking taylor expansion of x in x 2.777 * [taylor]: Taking taylor expansion of x in x 2.792 * [approximate]: Taking taylor expansion of (- (pow (sqrt (/ -1 x)) 2) (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in (x) around 0 2.792 * [taylor]: Taking taylor expansion of (- (pow (sqrt (/ -1 x)) 2) (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 2.792 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.792 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.793 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.793 * [taylor]: Taking taylor expansion of -1 in x 2.793 * [taylor]: Taking taylor expansion of x in x 2.794 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.794 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.794 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.794 * [taylor]: Taking taylor expansion of 1.0 in x 2.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.794 * [taylor]: Taking taylor expansion of x in x 2.796 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.796 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.796 * [taylor]: Taking taylor expansion of -1 in x 2.796 * [taylor]: Taking taylor expansion of x in x 2.797 * [taylor]: Taking taylor expansion of (- (pow (sqrt (/ -1 x)) 2) (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 2.797 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.797 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.797 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.797 * [taylor]: Taking taylor expansion of -1 in x 2.797 * [taylor]: Taking taylor expansion of x in x 2.799 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.799 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.799 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.799 * [taylor]: Taking taylor expansion of 1.0 in x 2.799 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.799 * [taylor]: Taking taylor expansion of x in x 2.801 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.801 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.801 * [taylor]: Taking taylor expansion of -1 in x 2.801 * [taylor]: Taking taylor expansion of x in x 2.847 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 1) 2.847 * [approximate]: Taking taylor expansion of x in (x) around 0 2.847 * [taylor]: Taking taylor expansion of x in x 2.847 * [taylor]: Taking taylor expansion of x in x 2.847 * [approximate]: Taking taylor expansion of (/ 1 x) in (x) around 0 2.847 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.847 * [taylor]: Taking taylor expansion of x in x 2.848 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.848 * [taylor]: Taking taylor expansion of x in x 2.851 * [approximate]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in (x) around 0 2.851 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.851 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.851 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.851 * [taylor]: Taking taylor expansion of -1 in x 2.851 * [taylor]: Taking taylor expansion of x in x 2.852 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.852 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.852 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.852 * [taylor]: Taking taylor expansion of -1 in x 2.853 * [taylor]: Taking taylor expansion of x in x 2.863 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1 1) 2.863 * [approximate]: Taking taylor expansion of (pow (sqrt x) 3/2) in (x) around 0 2.863 * [taylor]: Taking taylor expansion of (pow (sqrt x) 3/2) in x 2.863 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt x)))) in x 2.863 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt x))) in x 2.863 * [taylor]: Taking taylor expansion of 3/2 in x 2.863 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 2.863 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.863 * [taylor]: Taking taylor expansion of x in x 2.865 * [taylor]: Taking taylor expansion of (pow (sqrt x) 3/2) in x 2.865 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt x)))) in x 2.865 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt x))) in x 2.865 * [taylor]: Taking taylor expansion of 3/2 in x 2.865 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 2.865 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.865 * [taylor]: Taking taylor expansion of x in x 2.895 * [approximate]: Taking taylor expansion of (pow (sqrt (/ 1 x)) 3/2) in (x) around 0 2.895 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 x)) 3/2) in x 2.895 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt (/ 1 x))))) in x 2.895 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt (/ 1 x)))) in x 2.895 * [taylor]: Taking taylor expansion of 3/2 in x 2.895 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 2.895 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.895 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.895 * [taylor]: Taking taylor expansion of x in x 2.898 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 x)) 3/2) in x 2.898 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt (/ 1 x))))) in x 2.898 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt (/ 1 x)))) in x 2.898 * [taylor]: Taking taylor expansion of 3/2 in x 2.898 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 2.898 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.898 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.898 * [taylor]: Taking taylor expansion of x in x 2.942 * [approximate]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 3/2) in (x) around 0 2.942 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 3/2) in x 2.942 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt (/ -1 x))))) in x 2.942 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt (/ -1 x)))) in x 2.942 * [taylor]: Taking taylor expansion of 3/2 in x 2.942 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 2.942 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.942 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.942 * [taylor]: Taking taylor expansion of -1 in x 2.942 * [taylor]: Taking taylor expansion of x in x 2.945 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 3/2) in x 2.945 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt (/ -1 x))))) in x 2.945 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt (/ -1 x)))) in x 2.945 * [taylor]: Taking taylor expansion of 3/2 in x 2.945 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 2.945 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.945 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.945 * [taylor]: Taking taylor expansion of -1 in x 2.945 * [taylor]: Taking taylor expansion of x in x 2.983 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 2.983 * [approximate]: Taking taylor expansion of (+ x 1.0) in (x) around 0 2.983 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.983 * [taylor]: Taking taylor expansion of x in x 2.983 * [taylor]: Taking taylor expansion of 1.0 in x 2.983 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.983 * [taylor]: Taking taylor expansion of x in x 2.983 * [taylor]: Taking taylor expansion of 1.0 in x 2.986 * [approximate]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in (x) around 0 2.986 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.986 * [taylor]: Taking taylor expansion of 1.0 in x 2.986 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.986 * [taylor]: Taking taylor expansion of x in x 2.986 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.986 * [taylor]: Taking taylor expansion of 1.0 in x 2.986 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.986 * [taylor]: Taking taylor expansion of x in x 2.999 * [approximate]: Taking taylor expansion of (- 1.0 (/ 1 x)) in (x) around 0 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 3.000 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.000 * [taylor]: Taking taylor expansion of 1.0 in x 3.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.000 * [taylor]: Taking taylor expansion of x in x 3.007 * * * [progress]: simplifying candidates 3.010 * [simplify]: Simplifying using # : (fma (sqrt x) (sqrt x) (- (* (sqrt x) (sqrt (+ x 1.0))))) (fma (- (sqrt x)) (sqrt (+ x 1.0)) (* (sqrt x) (sqrt (+ x 1.0)))) (expm1 (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (log1p (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt (+ x 1.0)) (sqrt x))) (/ (exp (* (sqrt x) (sqrt x))) (exp (* (sqrt (+ x 1.0)) (sqrt x)))) (log (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (exp (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (* (* (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (pow (* (sqrt x) (sqrt x)) 3) (pow (* (sqrt (+ x 1.0)) (sqrt x)) 3)) (+ (* (* (sqrt x) (sqrt x)) (* (sqrt x) (sqrt x))) (+ (* (* (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))) (* (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))))) (- (* (sqrt (+ x 1.0)) (sqrt x))) (- (* (* (sqrt x) (sqrt x)) (* (sqrt x) (sqrt x))) (* (* (sqrt (+ x 1.0)) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x) (sqrt (+ x 1.0))) (- (* (sqrt (+ x 1.0)) (sqrt x))) (expm1 (* (sqrt x) (sqrt x))) (log1p (* (sqrt x) (sqrt x))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* x x) (* (sqrt x) (sqrt x)) (* x x) (+ 1 1) (+ (log (sqrt x)) (log (sqrt x))) (log (* (sqrt x) (sqrt x))) (exp (* (sqrt x) (sqrt x))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* (sqrt x) (sqrt x))) (cbrt (* (sqrt x) (sqrt x)))) (cbrt (* (sqrt x) (sqrt x))) (* (* (* (sqrt x) (sqrt x)) (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x))) (* x x) (sqrt (* (sqrt x) (sqrt x))) (sqrt (* (sqrt x) (sqrt x))) (* (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt 1) (sqrt 1)) (* (sqrt x) (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* 1 1) (* (sqrt x) (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt x) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt x) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt x) (sqrt (sqrt x))) (* (sqrt x) (sqrt 1)) (* (sqrt x) (sqrt (sqrt x))) (* (sqrt x) 1) (* (cbrt (sqrt x)) (sqrt x)) (* (sqrt (cbrt x)) (sqrt x)) (* (sqrt (sqrt x)) (sqrt x)) (* (sqrt x) (sqrt x)) (* (sqrt (sqrt x)) (sqrt x)) (* (sqrt x) (sqrt x)) (expm1 (pow (sqrt x) 3/2)) (log1p (pow (sqrt x) 3/2)) (* (log (sqrt x)) 3/2) (* (log (sqrt x)) 3/2) (* 1/2 3/2) (* 1 3/2) (* (/ 1 2) 3/2) (pow (sqrt x) (* (cbrt 3/2) (cbrt 3/2))) (pow (sqrt x) (sqrt 3/2)) (pow (sqrt x) 1) (pow (* (cbrt (sqrt x)) (cbrt (sqrt x))) 3/2) (pow (cbrt (sqrt x)) 3/2) (pow (sqrt (* (cbrt x) (cbrt x))) 3/2) (pow (sqrt (cbrt x)) 3/2) (pow (sqrt (sqrt x)) 3/2) (pow (sqrt (sqrt x)) 3/2) (pow (sqrt 1) 3/2) (pow (sqrt x) 3/2) (pow (sqrt (sqrt x)) 3/2) (pow (sqrt (sqrt x)) 3/2) (pow 1 3/2) (pow (sqrt x) 3/2) (log (pow (sqrt x) 3/2)) (exp (pow (sqrt x) 3/2)) (* (cbrt (pow (sqrt x) 3/2)) (cbrt (pow (sqrt x) 3/2))) (cbrt (pow (sqrt x) 3/2)) (* (* (pow (sqrt x) 3/2) (pow (sqrt x) 3/2)) (pow (sqrt x) 3/2)) (/ 3/2 2) (sqrt (pow (sqrt x) 3/2)) (sqrt (pow (sqrt x) 3/2)) (pow (sqrt x) (/ 3/2 2)) (pow (sqrt x) (/ 3/2 2)) (expm1 (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (log1p (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ x 1.0) (+ x 1.0)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (+ x 1.0) (+ x 1.0)) (+ 1 1) (+ (log (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0)))) (log (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (exp (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (* (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0)))) (* (cbrt (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (cbrt (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))) (cbrt (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (* (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (* (+ x 1.0) (+ x 1.0)) (sqrt (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (sqrt (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (* (sqrt (+ (pow x 3) (pow 1.0 3))) (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) (* x 1.0))))) (* (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- x 1.0))) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (+ (pow x 3) (pow 1.0 3)))) (* (sqrt (- x 1.0)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (- x 1.0)) (sqrt (- 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))) (cbrt (sqrt (+ x 1.0)))) (* (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* 1 1) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ x 1.0)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (* (sqrt (+ x 1.0)) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (sqrt (+ x 1.0)) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (+ x 1.0)) (sqrt 1)) (* (sqrt (+ x 1.0)) (sqrt 1)) (* (sqrt (+ x 1.0)) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (+ x 1.0)) 1) (* (cbrt (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3)))) (* (sqrt (+ x 1.0)) (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ x 1.0))) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (+ x 1.0))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- (* 0.125 (/ 1 x)) (+ 0.5 (* 0.0625 (/ 1 (pow x 2))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) x x (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (exp (* 3/2 (+ (log x) (log +nan.0)))) (+ (* +nan.0 (* (exp (* 3/2 (+ (log x) (log +nan.0)))) (pow x 2))) (- (* +nan.0 (* (exp (* 3/2 (+ (log x) (log +nan.0)))) x))))) (- (pow +nan.0 3/2) (+ (* +nan.0 (* (/ 1 x) (sqrt (pow +nan.0 3)))) (- (* +nan.0 (* (/ 1 (pow x 2)) (sqrt (pow +nan.0 3))))))) (- (pow +nan.0 3/2) (+ (* +nan.0 (* (/ 1 x) (sqrt (pow +nan.0 3)))) (- (* +nan.0 (* (/ 1 (pow x 2)) (sqrt (pow +nan.0 3))))))) (+ x 1.0) (+ x 1.0) (+ x 1.0) 3.018 * * [simplify]: iteration 0 : 503 enodes (cost 743 ) 3.030 * * [simplify]: iteration 1 : 2458 enodes (cost 632 ) 3.086 * * [simplify]: iteration 2 : 5002 enodes (cost 611 ) 3.089 * [simplify]: Simplified to: (- x (* (sqrt x) (sqrt (+ x 1.0)))) (* (sqrt (+ x 1.0)) (+ (- (sqrt x)) (sqrt x))) (expm1 (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (log1p (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt (+ x 1.0)) (sqrt x))) (exp (- x (* (sqrt x) (sqrt (+ x 1.0))))) (+ (log (sqrt x)) (log (- (sqrt x) (sqrt (+ x 1.0))))) (exp (- x (* (sqrt x) (sqrt (+ x 1.0))))) (* (cbrt (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (pow (* (sqrt x) (- (sqrt x) (sqrt (+ x 1.0)))) 3) (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (fma (pow x 2) x (- (pow (* (sqrt (+ x 1.0)) (sqrt x)) 3))) (fma x (+ x (+ x 1.0)) (* (* x (sqrt (+ x 1.0))) (sqrt x))) (- (* (sqrt (+ x 1.0)) (sqrt x))) (* x (- x (+ x 1.0))) (fma (sqrt (+ x 1.0)) (sqrt x) x) (- (sqrt x) (sqrt (+ x 1.0))) (- (* (sqrt (+ x 1.0)) (sqrt x))) (expm1 (* (sqrt x) (sqrt x))) (log1p (* (sqrt x) (sqrt x))) 1 1 2 1 1 (pow x 2) x (pow x 2) 2 (log x) (log x) (pow (exp 1) x) (pow x 3) (* (cbrt x) (cbrt x)) (cbrt x) (pow x 3) (pow x 2) (sqrt x) (sqrt x) (pow (cbrt (sqrt x)) 4) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt x) (cbrt x)) (cbrt x) (sqrt x) (sqrt x) (sqrt x) (sqrt x) 1 x (sqrt x) (sqrt x) (sqrt x) (sqrt x) 1 x (sqrt x) (sqrt x) (sqrt x) (sqrt x) (sqrt x) (sqrt x) (sqrt x) (sqrt x) 1 2 1 (* (sqrt x) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (fabs (cbrt x)) (sqrt x)) (pow (sqrt x) 3/2) (sqrt x) (pow (sqrt x) 3/2) (sqrt x) (pow (cbrt (sqrt x)) 4) (* (sqrt (cbrt x)) (sqrt x)) (pow (sqrt x) 3/2) x (pow (sqrt x) 3/2) x (expm1 (pow (sqrt x) 3/2)) (log1p (pow (sqrt x) 3/2)) (log (pow (sqrt x) 3/2)) (log (pow (sqrt x) 3/2)) 3/4 3/2 3/4 (pow (sqrt x) (* (cbrt 3/2) (cbrt 3/2))) (pow (sqrt x) (sqrt 3/2)) (sqrt x) (pow (* (cbrt (sqrt x)) (cbrt (sqrt x))) 3/2) (pow (cbrt (sqrt x)) 3/2) (pow (fabs (cbrt x)) 3/2) (pow (sqrt (cbrt x)) 3/2) (pow (sqrt (sqrt x)) 3/2) (pow (sqrt (sqrt x)) 3/2) 1 (pow (sqrt x) 3/2) (pow (sqrt (sqrt x)) 3/2) (pow (sqrt (sqrt x)) 3/2) 1 (pow (sqrt x) 3/2) (log (pow (sqrt x) 3/2)) (exp (pow (sqrt x) 3/2)) (* (cbrt (pow (sqrt x) 3/2)) (cbrt (pow (sqrt x) 3/2))) (cbrt (pow (sqrt x) 3/2)) (pow (pow (sqrt x) 3/2) 3) 3/4 (sqrt (pow (sqrt x) 3/2)) (sqrt (pow (sqrt x) 3/2)) (pow (sqrt x) 3/4) (pow (sqrt x) 3/4) (expm1 (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) (log1p (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))) 1 1 2 1 1 (* (+ x 1.0) (+ x 1.0)) (+ x 1.0) (* (+ x 1.0) (+ x 1.0)) 2 (* 2 (log (sqrt (+ x 1.0)))) (* 2 (log (sqrt (+ x 1.0)))) (pow (exp 1) (+ x 1.0)) (pow (+ x 1.0) 3) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0)) (pow (+ x 1.0) 3) (* (+ x 1.0) (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (+ (pow x 3) (pow 1.0 3)) (fma x x (* 1.0 (- 1.0 x))) (* (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- x 1.0))) (* (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- x 1.0))) (- (* x x) (* 1.0 1.0)) (- x 1.0) (pow (cbrt (sqrt (+ x 1.0))) 4) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) 1 (+ x 1.0) 1 (+ x 1.0) 1 (+ x 1.0) 1 (+ x 1.0) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) 1 (+ x 1.0) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) 1 2 1 (* (sqrt (+ x 1.0)) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))))) (* (fabs (cbrt (+ x 1.0))) (sqrt (+ x 1.0))) (pow (sqrt (sqrt (+ x 1.0))) 3) (sqrt (+ x 1.0)) (sqrt (+ x 1.0)) (pow (sqrt (sqrt (+ x 1.0))) 3) (sqrt (+ x 1.0)) (pow (cbrt (sqrt (+ x 1.0))) 4) (* (sqrt (cbrt (+ x 1.0))) (sqrt (+ x 1.0))) (pow (sqrt (sqrt (+ x 1.0))) 3) (+ x 1.0) (+ x 1.0) (pow (sqrt (sqrt (+ x 1.0))) 3) (+ x 1.0) (* (sqrt (+ x 1.0)) (hypot (pow x 3/2) (pow 1.0 3/2))) (* (sqrt (+ x 1.0)) (sqrt (- (* x x) (* 1.0 1.0)))) (* (sqrt (+ x 1.0)) (hypot (pow x 3/2) (pow 1.0 3/2))) (* (sqrt (+ x 1.0)) (sqrt (- (* x x) (* 1.0 1.0)))) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow x 3) x))) (- (* 0.125 (/ 1 x)) (+ 0.5 (* 0.0625 (/ 1 (pow x 2))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) x x (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (exp (* 3/2 (+ (log x) (log +nan.0)))) (* +nan.0 (* (exp (* 3/2 (+ (log x) (log +nan.0)))) (pow x 2)))) (* +nan.0 (* (exp (* 3/2 (+ (log x) (log +nan.0)))) x))) (+ (- (pow +nan.0 3/2) (* +nan.0 (* (/ 1 x) (sqrt (pow +nan.0 3))))) (* +nan.0 (* (/ 1 (pow x 2)) (sqrt (pow +nan.0 3))))) (+ (- (pow +nan.0 3/2) (* +nan.0 (* (/ 1 x) (sqrt (pow +nan.0 3))))) (* +nan.0 (* (/ 1 (pow x 2)) (sqrt (pow +nan.0 3))))) (+ x 1.0) (+ x 1.0) (+ x 1.0) 3.090 * * * [progress]: adding candidates to table 3.580 * [progress]: [Phase 3 of 3] Extracting. 3.580 * * [regime]: Finding splitpoints for: (# # # # # #) 3.582 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.582 * * * * [regimes]: Trying to branch on x from (# # # # # #) 3.610 * * * [regime]: Found split indices: #