20.056 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.025 * [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 ) 0.030 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.030 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.030 * * [progress]: iteration 1 / 4 0.030 * * * [progress]: picking best candidate 0.032 * * * * [pick]: Picked # 0.032 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.089 * * * [progress]: generating series expansions 0.089 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.089 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.089 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.089 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.089 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of 1.0 in x 0.091 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.092 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.092 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.094 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.094 * [taylor]: Taking taylor expansion of x in x 0.113 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.113 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.113 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.113 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.113 * [taylor]: Taking taylor expansion of 1.0 in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.116 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.116 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.116 * [taylor]: Taking taylor expansion of 1.0 in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.131 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.131 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.131 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.133 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.133 * [taylor]: Taking taylor expansion of -1 in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.134 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.134 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.134 * [taylor]: Taking taylor expansion of 1.0 in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.141 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.141 * [taylor]: Taking taylor expansion of -1 in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.155 * * * [progress]: simplifying candidates 0.157 * [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)) 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(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))))) 0.162 * * [simplify]: iteration 0 : 252 enodes (cost 1065 ) 0.166 * * [simplify]: iteration 1 : 759 enodes (cost 733 ) 0.186 * * [simplify]: iteration 2 : 4363 enodes (cost 623 ) 0.285 * * [simplify]: iteration 3 : 5001 enodes (cost 593 ) 0.288 * [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))) 0.289 * * * [progress]: adding candidates to table 0.371 * * [progress]: iteration 2 / 4 0.371 * * * [progress]: picking best candidate 0.375 * * * * [pick]: Picked # 0.375 * * * [progress]: localizing error 0.382 * * * [progress]: generating rewritten candidates 0.382 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.440 * * * [progress]: generating series expansions 0.440 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.441 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.441 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.441 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.441 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.445 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.445 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.445 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of 1.0 in x 0.446 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.520 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.520 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.520 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.521 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.521 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.524 * [taylor]: Taking taylor expansion of 1.0 in x 0.524 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.524 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.525 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.525 * [taylor]: Taking taylor expansion of 1.0 in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.550 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.550 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.550 * [taylor]: Taking taylor expansion of 1.0 in x 0.550 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.550 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.550 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.550 * [taylor]: Taking taylor expansion of -1 in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.551 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.551 * [taylor]: Taking taylor expansion of 1.0 in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.554 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.554 * [taylor]: Taking taylor expansion of 1.0 in x 0.554 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.554 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.554 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.554 * [taylor]: Taking taylor expansion of -1 in x 0.554 * [taylor]: Taking taylor expansion of x in x 0.555 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.555 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.555 * [taylor]: Taking taylor expansion of 1.0 in x 0.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.555 * [taylor]: Taking taylor expansion of x in x 0.574 * * * [progress]: simplifying candidates 0.575 * [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)) (- (+ (* 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))))) 0.580 * * [simplify]: iteration 0 : 304 enodes (cost 558 ) 0.586 * * [simplify]: iteration 1 : 1271 enodes (cost 513 ) 0.610 * * [simplify]: iteration 2 : 5001 enodes (cost 476 ) 0.612 * [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))) (+ (+ (/ 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))))) 0.612 * * * [progress]: adding candidates to table 0.703 * * [progress]: iteration 3 / 4 0.703 * * * [progress]: picking best candidate 0.713 * * * * [pick]: Picked # 0.714 * * * [progress]: localizing error 0.724 * * * [progress]: generating rewritten candidates 0.724 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.854 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.910 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.951 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.042 * * * [progress]: generating series expansions 1.042 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.043 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.043 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.043 * [taylor]: Taking taylor expansion of 1.0 in x 1.043 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.043 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.043 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.043 * [taylor]: Taking taylor expansion of x in x 1.043 * [taylor]: Taking taylor expansion of 1.0 in x 1.045 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.048 * [taylor]: Taking taylor expansion of 1.0 in x 1.048 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.048 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.048 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.048 * [taylor]: Taking taylor expansion of 1.0 in x 1.049 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.049 * [taylor]: Taking taylor expansion of x in x 1.127 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.127 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.127 * [taylor]: Taking taylor expansion of 1.0 in x 1.127 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.127 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.128 * [taylor]: Taking taylor expansion of x in x 1.129 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.129 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.129 * [taylor]: Taking taylor expansion of 1.0 in x 1.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.131 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.131 * [taylor]: Taking taylor expansion of 1.0 in x 1.131 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.131 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.131 * [taylor]: Taking taylor expansion of x in x 1.132 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.132 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.132 * [taylor]: Taking taylor expansion of 1.0 in x 1.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.132 * [taylor]: Taking taylor expansion of x in x 1.151 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.151 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.151 * [taylor]: Taking taylor expansion of 1.0 in x 1.151 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.151 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.151 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.151 * [taylor]: Taking taylor expansion of -1 in x 1.151 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of (sqrt (- 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 1.155 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.155 * [taylor]: Taking taylor expansion of 1.0 in x 1.155 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.155 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.155 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.155 * [taylor]: Taking taylor expansion of -1 in x 1.155 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.156 * [taylor]: Taking taylor expansion of 1.0 in x 1.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.156 * [taylor]: Taking taylor expansion of x in x 1.176 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.176 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 1.176 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.176 * [taylor]: Taking taylor expansion of 1.0 in x 1.176 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.176 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.176 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.176 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.176 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.176 * [taylor]: Taking taylor expansion of x in x 1.176 * [taylor]: Taking taylor expansion of 1.0 in x 1.178 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.178 * [taylor]: Taking taylor expansion of x in x 1.199 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 1.199 * [taylor]: Taking taylor expansion of 1.0 in x 1.199 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 1.199 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.199 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.199 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.199 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.199 * [taylor]: Taking taylor expansion of x in x 1.199 * [taylor]: Taking taylor expansion of 1.0 in x 1.200 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.373 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 1.373 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.373 * [taylor]: Taking taylor expansion of 1.0 in x 1.373 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.373 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.373 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.373 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.373 * [taylor]: Taking taylor expansion of x in x 1.375 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.375 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.375 * [taylor]: Taking taylor expansion of 1.0 in x 1.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.375 * [taylor]: Taking taylor expansion of x in x 1.384 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 1.384 * [taylor]: Taking taylor expansion of 1.0 in x 1.384 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 1.384 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.384 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.384 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.384 * [taylor]: Taking taylor expansion of x in x 1.385 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.385 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.385 * [taylor]: Taking taylor expansion of 1.0 in x 1.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.385 * [taylor]: Taking taylor expansion of x in x 1.428 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 1.428 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.428 * [taylor]: Taking taylor expansion of 1.0 in x 1.428 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.428 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.428 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.428 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.428 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.428 * [taylor]: Taking taylor expansion of -1 in x 1.428 * [taylor]: Taking taylor expansion of x in x 1.429 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.429 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.429 * [taylor]: Taking taylor expansion of 1.0 in x 1.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.429 * [taylor]: Taking taylor expansion of x in x 1.439 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 1.439 * [taylor]: Taking taylor expansion of 1.0 in x 1.439 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 1.439 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.439 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.439 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.439 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.439 * [taylor]: Taking taylor expansion of -1 in x 1.439 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.440 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.441 * [taylor]: Taking taylor expansion of 1.0 in x 1.441 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.490 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.490 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.490 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.490 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.490 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.490 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.490 * [taylor]: Taking taylor expansion of x in x 1.490 * [taylor]: Taking taylor expansion of 1.0 in x 1.492 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.492 * [taylor]: Taking taylor expansion of x in x 1.498 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.498 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.498 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.498 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.498 * [taylor]: Taking taylor expansion of x in x 1.498 * [taylor]: Taking taylor expansion of 1.0 in x 1.499 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.499 * [taylor]: Taking taylor expansion of x in x 1.562 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.562 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.562 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.562 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.562 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.562 * [taylor]: Taking taylor expansion of x in x 1.564 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.564 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.564 * [taylor]: Taking taylor expansion of 1.0 in x 1.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.564 * [taylor]: Taking taylor expansion of x in x 1.572 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.572 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.572 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.572 * [taylor]: Taking taylor expansion of x in x 1.573 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.573 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.573 * [taylor]: Taking taylor expansion of 1.0 in x 1.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.574 * [taylor]: Taking taylor expansion of x in x 1.599 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.599 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.599 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.599 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.599 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.599 * [taylor]: Taking taylor expansion of -1 in x 1.599 * [taylor]: Taking taylor expansion of x in x 1.601 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.601 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.601 * [taylor]: Taking taylor expansion of 1.0 in x 1.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.601 * [taylor]: Taking taylor expansion of x in x 1.609 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.609 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.609 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.609 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.609 * [taylor]: Taking taylor expansion of -1 in x 1.609 * [taylor]: Taking taylor expansion of x in x 1.610 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.610 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.610 * [taylor]: Taking taylor expansion of 1.0 in x 1.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.610 * [taylor]: Taking taylor expansion of x in x 1.644 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.644 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 1.644 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.644 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.644 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.644 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.644 * [taylor]: Taking taylor expansion of x in x 1.644 * [taylor]: Taking taylor expansion of 1.0 in x 1.645 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.645 * [taylor]: Taking taylor expansion of x in x 1.651 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 1.651 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 1.651 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.651 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.651 * [taylor]: Taking taylor expansion of x in x 1.651 * [taylor]: Taking taylor expansion of 1.0 in x 1.653 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.653 * [taylor]: Taking taylor expansion of x in x 1.716 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 1.716 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.716 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.716 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.716 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.716 * [taylor]: Taking taylor expansion of x in x 1.717 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.717 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.717 * [taylor]: Taking taylor expansion of 1.0 in x 1.717 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.717 * [taylor]: Taking taylor expansion of x in x 1.725 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 1.725 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 1.725 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.725 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.725 * [taylor]: Taking taylor expansion of x in x 1.726 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.726 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.726 * [taylor]: Taking taylor expansion of 1.0 in x 1.726 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.726 * [taylor]: Taking taylor expansion of x in x 1.753 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 1.753 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.753 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.753 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.753 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.753 * [taylor]: Taking taylor expansion of -1 in x 1.753 * [taylor]: Taking taylor expansion of x in x 1.754 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.754 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.754 * [taylor]: Taking taylor expansion of 1.0 in x 1.754 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.754 * [taylor]: Taking taylor expansion of x in x 1.763 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 1.763 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 1.763 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.763 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.763 * [taylor]: Taking taylor expansion of -1 in x 1.763 * [taylor]: Taking taylor expansion of x in x 1.764 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.764 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.764 * [taylor]: Taking taylor expansion of 1.0 in x 1.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.764 * [taylor]: Taking taylor expansion of x in x 1.791 * * * [progress]: simplifying candidates 1.809 * [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 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt 1)) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (sqrt 1))) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (sqrt 1))) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt 1)) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) 1) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt 1)) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt 1))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt 1))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt 1)) (/ (sqrt 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1.0)) (sqrt x)))))) (/ (+ 1.0 0) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1 (* 1 (fabs (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (+ 1.0 0) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 1 (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 1 (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (+ 1.0 0) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1 (* 1 (fabs (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (+ 1.0 0) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 1 (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ 1.0 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 1 (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ 1.0 0)) (/ 1.0 (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (+ 1.0 0) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ 1.0 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 1.0 1.0 1.0 1.0 (/ 1.0 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 1.0 (/ (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ 1.0 0))) (/ (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0)) (/ (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ 1.0 0)) (/ (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ 1.0 0)) (/ 1.0 (* (hypot (pow (sqrt x) 3/2) (pow (sqrt (+ x 1.0)) 3/2)) 1)) (/ (+ 1.0 0) (sqrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))))) (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (* 1.0 1.0)) (* 1.0 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (expm1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (fabs (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (hypot (pow (sqrt x) 3/2) (pow (sqrt (+ x 1.0)) 3/2)) (sqrt (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) 1/2 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (expm1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (fabs (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (hypot (pow (sqrt x) 3/2) (pow (sqrt (+ x 1.0)) 3/2)) (sqrt (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) 1/2 (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (+ (- (fma 1.0 (/ 1 (sqrt 1.0)) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (fma +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)) (* 0.5 (/ x (pow (sqrt 1.0) 3))))) (+ (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (/ (- (* +nan.0 x)) 1.0)) (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (fma 0.15625 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 9)))) (* 1.0 (sqrt (/ 1 (sqrt 1.0))))) (fma (* +nan.0 x) (sqrt (/ 1 (pow (sqrt 1.0) 3))) (* 0.25 (* x (sqrt (/ 1 (pow (sqrt 1.0) 5))))))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (fma +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 7)))) (- (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 5))))))))) (+ (- (* 1.0 (sqrt +nan.0)) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (+ (- (* 1.0 (sqrt +nan.0)) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (- (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ 1 (* (sqrt +nan.0) (pow x 2)))))) (+ (- (fma 1/4 (* 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)))))) 1.958 * * * [progress]: adding candidates to table 2.550 * * [progress]: iteration 4 / 4 2.551 * * * [progress]: picking best candidate 2.571 * * * * [pick]: Picked # 2.571 * * * [progress]: localizing error 2.602 * * * [progress]: generating rewritten candidates 2.602 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2) 2.614 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 1) 2.627 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.630 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 2) 2.660 * * * [progress]: generating series expansions 2.660 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2) 2.660 * [approximate]: Taking taylor expansion of (- x (sqrt (* x (+ x 1.0)))) in (x) around 0 2.660 * [taylor]: Taking taylor expansion of (- x (sqrt (* x (+ x 1.0)))) in x 2.660 * [taylor]: Taking taylor expansion of x in x 2.660 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 2.660 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 2.660 * [taylor]: Taking taylor expansion of x in x 2.660 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.660 * [taylor]: Taking taylor expansion of x in x 2.660 * [taylor]: Taking taylor expansion of 1.0 in x 2.663 * [taylor]: Taking taylor expansion of (- x (sqrt (* x (+ x 1.0)))) in x 2.663 * [taylor]: Taking taylor expansion of x in x 2.663 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 2.663 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 2.663 * [taylor]: Taking taylor expansion of x in x 2.663 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.663 * [taylor]: Taking taylor expansion of x in x 2.663 * [taylor]: Taking taylor expansion of 1.0 in x 2.675 * [approximate]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ (+ 1.0 (/ 1 x)) x))) in (x) around 0 2.675 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ (+ 1.0 (/ 1 x)) x))) in x 2.675 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.675 * [taylor]: Taking taylor expansion of x in x 2.676 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 2.676 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 2.676 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.676 * [taylor]: Taking taylor expansion of 1.0 in x 2.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.676 * [taylor]: Taking taylor expansion of x in x 2.676 * [taylor]: Taking taylor expansion of x in x 2.679 * [taylor]: Taking taylor expansion of (- (/ 1 x) (sqrt (/ (+ 1.0 (/ 1 x)) x))) in x 2.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.679 * [taylor]: Taking taylor expansion of x in x 2.679 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 2.679 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 2.679 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.679 * [taylor]: Taking taylor expansion of 1.0 in x 2.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.679 * [taylor]: Taking taylor expansion of x in x 2.680 * [taylor]: Taking taylor expansion of x in x 2.693 * [approximate]: Taking taylor expansion of (- (pow (sqrt (/ -1 x)) 2) (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in (x) around 0 2.693 * [taylor]: Taking taylor expansion of (- (pow (sqrt (/ -1 x)) 2) (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 2.693 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.693 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.693 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.693 * [taylor]: Taking taylor expansion of -1 in x 2.693 * [taylor]: Taking taylor expansion of x in x 2.695 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.695 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.695 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.695 * [taylor]: Taking taylor expansion of 1.0 in x 2.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.695 * [taylor]: Taking taylor expansion of x in x 2.696 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.696 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.696 * [taylor]: Taking taylor expansion of -1 in x 2.696 * [taylor]: Taking taylor expansion of x in x 2.697 * [taylor]: Taking taylor expansion of (- (pow (sqrt (/ -1 x)) 2) (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x)))) in x 2.697 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.697 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.698 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.698 * [taylor]: Taking taylor expansion of -1 in x 2.698 * [taylor]: Taking taylor expansion of x in x 2.699 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.699 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.699 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.699 * [taylor]: Taking taylor expansion of 1.0 in x 2.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.699 * [taylor]: Taking taylor expansion of x in x 2.700 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.700 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.700 * [taylor]: Taking taylor expansion of -1 in x 2.700 * [taylor]: Taking taylor expansion of x in x 2.742 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 1) 2.742 * [approximate]: Taking taylor expansion of x in (x) around 0 2.742 * [taylor]: Taking taylor expansion of x in x 2.742 * [taylor]: Taking taylor expansion of x in x 2.743 * [approximate]: Taking taylor expansion of (/ 1 x) in (x) around 0 2.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.743 * [taylor]: Taking taylor expansion of x in x 2.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.743 * [taylor]: Taking taylor expansion of x in x 2.746 * [approximate]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in (x) around 0 2.746 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.746 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.746 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.746 * [taylor]: Taking taylor expansion of -1 in x 2.746 * [taylor]: Taking taylor expansion of x in x 2.747 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 2.747 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.747 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.747 * [taylor]: Taking taylor expansion of -1 in x 2.747 * [taylor]: Taking taylor expansion of x in x 2.756 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.756 * [approximate]: Taking taylor expansion of (pow (sqrt x) 3/2) in (x) around 0 2.756 * [taylor]: Taking taylor expansion of (pow (sqrt x) 3/2) in x 2.756 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt x)))) in x 2.756 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt x))) in x 2.756 * [taylor]: Taking taylor expansion of 3/2 in x 2.756 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 2.756 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.757 * [taylor]: Taking taylor expansion of x in x 2.759 * [taylor]: Taking taylor expansion of (pow (sqrt x) 3/2) in x 2.759 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt x)))) in x 2.759 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt x))) in x 2.759 * [taylor]: Taking taylor expansion of 3/2 in x 2.759 * [taylor]: Taking taylor expansion of (log (sqrt x)) in x 2.759 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.759 * [taylor]: Taking taylor expansion of x in x 2.785 * [approximate]: Taking taylor expansion of (pow (sqrt (/ 1 x)) 3/2) in (x) around 0 2.785 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 x)) 3/2) in x 2.785 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt (/ 1 x))))) in x 2.785 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt (/ 1 x)))) in x 2.785 * [taylor]: Taking taylor expansion of 3/2 in x 2.785 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 2.785 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.785 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.785 * [taylor]: Taking taylor expansion of x in x 2.788 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 x)) 3/2) in x 2.788 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt (/ 1 x))))) in x 2.788 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt (/ 1 x)))) in x 2.788 * [taylor]: Taking taylor expansion of 3/2 in x 2.788 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 x))) in x 2.788 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.788 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.788 * [taylor]: Taking taylor expansion of x in x 2.828 * [approximate]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 3/2) in (x) around 0 2.828 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 3/2) in x 2.828 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt (/ -1 x))))) in x 2.828 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt (/ -1 x)))) in x 2.828 * [taylor]: Taking taylor expansion of 3/2 in x 2.828 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 2.828 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.828 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.828 * [taylor]: Taking taylor expansion of -1 in x 2.828 * [taylor]: Taking taylor expansion of x in x 2.831 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 3/2) in x 2.831 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (sqrt (/ -1 x))))) in x 2.831 * [taylor]: Taking taylor expansion of (* 3/2 (log (sqrt (/ -1 x)))) in x 2.831 * [taylor]: Taking taylor expansion of 3/2 in x 2.831 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 x))) in x 2.831 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.831 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.831 * [taylor]: Taking taylor expansion of -1 in x 2.831 * [taylor]: Taking taylor expansion of x in x 2.864 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 2) 2.864 * [approximate]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in (x) around 0 2.864 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 2.864 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 2.865 * [taylor]: Taking taylor expansion of x in x 2.865 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.865 * [taylor]: Taking taylor expansion of x in x 2.865 * [taylor]: Taking taylor expansion of 1.0 in x 2.867 * [taylor]: Taking taylor expansion of (sqrt (* x (+ x 1.0))) in x 2.867 * [taylor]: Taking taylor expansion of (* x (+ x 1.0)) in x 2.867 * [taylor]: Taking taylor expansion of x in x 2.867 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.867 * [taylor]: Taking taylor expansion of x in x 2.867 * [taylor]: Taking taylor expansion of 1.0 in x 2.875 * [approximate]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in (x) around 0 2.875 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 2.875 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 2.875 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.875 * [taylor]: Taking taylor expansion of 1.0 in x 2.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.875 * [taylor]: Taking taylor expansion of x in x 2.876 * [taylor]: Taking taylor expansion of x in x 2.879 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 2.879 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 2.879 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.879 * [taylor]: Taking taylor expansion of 1.0 in x 2.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.879 * [taylor]: Taking taylor expansion of x in x 2.879 * [taylor]: Taking taylor expansion of x in x 2.885 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 2.885 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.885 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.885 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.885 * [taylor]: Taking taylor expansion of 1.0 in x 2.885 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.885 * [taylor]: Taking taylor expansion of x in x 2.887 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.887 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.887 * [taylor]: Taking taylor expansion of -1 in x 2.887 * [taylor]: Taking taylor expansion of x in x 2.888 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.888 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.888 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.888 * [taylor]: Taking taylor expansion of 1.0 in x 2.888 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.888 * [taylor]: Taking taylor expansion of x in x 2.889 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.890 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.890 * [taylor]: Taking taylor expansion of -1 in x 2.890 * [taylor]: Taking taylor expansion of x in x 2.921 * * * [progress]: simplifying candidates 2.923 * [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))) (log1p (* (sqrt (+ x 1.0)) (sqrt x))) (* (+ x 1.0) x) (* (sqrt (+ x 1.0)) (sqrt x)) (* (+ x 1.0) x) (+ (log (sqrt (+ x 1.0))) (log (sqrt x))) (log (* (sqrt (+ x 1.0)) (sqrt x))) (exp (* (sqrt (+ x 1.0)) (sqrt x))) (* (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (* (* (sqrt x) (sqrt x)) (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))) (* (+ x 1.0) x) (sqrt (* (sqrt (+ x 1.0)) (sqrt x))) (sqrt (* (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)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (+ x 1.0)) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt (+ x 1.0)) (sqrt (sqrt x))) (* (sqrt (+ x 1.0)) (sqrt 1)) (* (sqrt (+ x 1.0)) (sqrt (sqrt x))) (* (sqrt (+ x 1.0)) 1) (* (cbrt (sqrt (+ x 1.0))) (sqrt x)) (* (sqrt (cbrt (+ x 1.0))) (sqrt x)) (* (sqrt (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 (+ x 1.0)) (sqrt x)) (* (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (- (+ (* +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))))))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- (+ 0.5 x) (* 0.125 (/ 1 x))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 2.930 * * [simplify]: iteration 0 : 467 enodes (cost 687 ) 2.941 * * [simplify]: iteration 1 : 2312 enodes (cost 601 ) 2.989 * * [simplify]: iteration 2 : 5002 enodes (cost 588 ) 2.993 * [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))) (log1p (* (sqrt (+ x 1.0)) (sqrt x))) (* (+ x 1.0) x) (* (sqrt x) (sqrt (+ x 1.0))) (* (+ x 1.0) x) (log (* (sqrt (+ x 1.0)) (sqrt x))) (log (* (sqrt (+ x 1.0)) (sqrt x))) (exp (* (sqrt (+ x 1.0)) (sqrt x))) (pow (* (sqrt (+ x 1.0)) (sqrt x)) 3) (* (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) (* (+ x 1.0) x) (sqrt (* (sqrt (+ x 1.0)) (sqrt x))) (sqrt (* (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)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (fabs (cbrt x)) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) (sqrt (sqrt x))) (sqrt (+ x 1.0)) (* (sqrt (+ x 1.0)) (sqrt (sqrt x))) (sqrt (+ x 1.0)) (* (cbrt (sqrt (+ x 1.0))) (sqrt x)) (* (sqrt (cbrt (+ x 1.0))) (sqrt x)) (* (sqrt (sqrt (+ x 1.0))) (sqrt x)) (* (sqrt x) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt (+ x 1.0))) (* (sqrt (sqrt (+ x 1.0))) (sqrt x)) (* (sqrt x) (sqrt (+ x 1.0))) (* (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (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))))) (fma (- (pow x 2)) +nan.0 (* +nan.0 (- (pow x 3) x))) (- (+ 0.5 x) (* 0.125 (/ 1 x))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) 2.993 * * * [progress]: adding candidates to table 3.491 * [progress]: [Phase 3 of 3] Extracting. 3.491 * * [regime]: Finding splitpoints for: (# # # # # #) 3.493 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.493 * * * * [regimes]: Trying to branch on x from (# # # # # #) 3.521 * * * [regime]: Found split indices: #