15.521 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.024 * [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 ) 0.029 * * [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 0.036 * * * [progress]: generating rewritten candidates 0.036 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.045 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.052 * * * [progress]: generating series expansions 0.052 * * * * [progress]: [ 1 / 2 ] 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 0.056 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.056 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.056 * [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 0.058 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.058 * [taylor]: Taking taylor expansion of x in x 0.081 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.081 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.081 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.081 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.081 * [taylor]: Taking taylor expansion of 1.0 in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.084 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.084 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.084 * [taylor]: Taking taylor expansion of 1.0 in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.086 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.101 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 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 0.103 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.103 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.103 * [taylor]: Taking taylor expansion of -1 in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.104 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.104 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.104 * [taylor]: Taking taylor expansion of 1.0 in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.106 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.106 * [taylor]: Taking taylor expansion of -1 in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.122 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.122 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.122 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.124 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.133 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.133 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.133 * [taylor]: Taking taylor expansion of 1.0 in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.133 * [taylor]: Taking taylor expansion of 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 0.141 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.141 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.141 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.143 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.143 * [taylor]: Taking taylor expansion of 1.0 in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.151 * * * [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)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma 1 (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (/ (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (* (* (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (sqrt x)) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.163 * * [simplify]: iteration 0 : 299 enodes (cost 1161 ) 0.168 * * [simplify]: iteration 1 : 921 enodes (cost 822 ) 0.190 * * [simplify]: iteration 2 : 5001 enodes (cost 744 ) 0.194 * [simplify]: Simplified to: (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) 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(sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (pow (- (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (+ (fma (sqrt x) (sqrt (+ x 1.0)) x) x) 1.0) (- (sqrt x)) (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) 0.194 * * * [progress]: adding candidates to table 0.319 * * [progress]: iteration 2 / 4 0.319 * * * [progress]: picking best candidate 0.325 * * * * [pick]: Picked # 0.326 * * * [progress]: localizing error 0.333 * * * [progress]: generating rewritten candidates 0.333 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.344 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.352 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.358 * * * [progress]: generating series expansions 0.358 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.359 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.359 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.359 * [taylor]: Taking taylor expansion of 1.0 in x 0.359 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.359 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.359 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of 1.0 in x 0.361 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.363 * [taylor]: Taking taylor expansion of 1.0 in x 0.363 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.363 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.363 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.363 * [taylor]: Taking taylor expansion of 1.0 in x 0.368 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.447 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.447 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.447 * [taylor]: Taking taylor expansion of 1.0 in x 0.447 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.447 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.448 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.448 * [taylor]: Taking taylor expansion of 1.0 in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.451 * [taylor]: Taking taylor expansion of 1.0 in x 0.451 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.452 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.452 * [taylor]: Taking taylor expansion of 1.0 in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.473 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.473 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.473 * [taylor]: Taking taylor expansion of 1.0 in x 0.473 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.473 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.473 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.473 * [taylor]: Taking taylor expansion of -1 in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.474 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.474 * [taylor]: Taking taylor expansion of 1.0 in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.477 * [taylor]: Taking taylor expansion of 1.0 in x 0.477 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.477 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.477 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.477 * [taylor]: Taking taylor expansion of -1 in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.478 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.478 * [taylor]: Taking taylor expansion of 1.0 in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.500 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.500 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.500 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.500 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.500 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.502 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.503 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.503 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.523 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.523 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.523 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.524 * [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 0.532 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.532 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.532 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.534 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.534 * [taylor]: Taking taylor expansion of 1.0 in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.548 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.548 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.548 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.548 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.548 * [taylor]: Taking taylor expansion of -1 in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.549 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.549 * [taylor]: Taking taylor expansion of 1.0 in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.551 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.551 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.551 * [taylor]: Taking taylor expansion of -1 in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.552 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.552 * [taylor]: Taking taylor expansion of 1.0 in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.567 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.567 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.567 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.567 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of 1.0 in x 0.569 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.569 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.569 * [taylor]: Taking taylor expansion of 1.0 in x 0.578 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 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 (+ 1.0 (/ 1 x))) in x 0.580 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.580 * [taylor]: Taking taylor expansion of 1.0 in x 0.580 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.587 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.587 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.587 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.587 * [taylor]: Taking taylor expansion of 1.0 in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.589 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.589 * [taylor]: Taking taylor expansion of 1.0 in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.597 * * * [progress]: simplifying candidates 0.598 * [simplify]: Simplifying using # : (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (log (+ 1.0 0)) (log (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- (+ 1.0 0)) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt 1)) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) (sqrt 1)) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (sqrt 1)) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 1) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) 1) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) (sqrt 1)) (/ (+ 1.0 0) 1) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3))) (/ (+ 1.0 0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (* 1.0 1.0) (- (* 0 0) (* 1.0 0)))) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (- 1.0 0)) (expm1 (+ (sqrt (+ x 1.0)) (sqrt x))) (log1p (+ (sqrt (+ x 1.0)) (sqrt x))) (* (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (* (* (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (+ (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (* (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (sqrt (+ x 1.0))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt 1) (sqrt (+ x 1.0)) (sqrt 1) (sqrt (+ x 1.0)) (sqrt (+ (pow x 3) (pow 1.0 3))) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) (/ 1 2) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2))) (- (* 0.5 (/ x (pow (sqrt 1.0) 3))) (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (/ x (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.605 * * [simplify]: iteration 0 : 409 enodes (cost 789 ) 0.612 * * [simplify]: iteration 1 : 1675 enodes (cost 716 ) 0.643 * * [simplify]: iteration 2 : 5001 enodes (cost 675 ) 0.647 * [simplify]: Simplified to: (expm1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (log (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (pow (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 3) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (- 0 1.0) (- (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (/ (cbrt (+ 1.0 0)) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ 1 (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) 1 (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))) (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) 1.0 1.0 1.0 1.0 (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (cbrt (+ 1.0 0))) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (sqrt 1.0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ (+ (sqrt (+ x 1.0)) (sqrt x)) (+ 1.0 0)) (/ 1.0 (* (fma x (sqrt x) (pow (sqrt (+ x 1.0)) 3)) 1)) (/ 1.0 (* (+ x (- 1.0 x)) 1)) (* (+ (sqrt (+ x 1.0)) (sqrt x)) (* 1.0 1.0)) (* 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) (expm1 (+ (sqrt (+ x 1.0)) (sqrt x))) (log1p (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (log (+ (sqrt (+ x 1.0)) (sqrt x))) (exp (+ (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (pow (+ (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (fma x (sqrt x) (pow (sqrt (+ x 1.0)) 3)) (- (+ (+ x 1.0) x) (* (sqrt (+ x 1.0)) (sqrt x))) 1.0 (- (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (expm1 (sqrt (+ x 1.0))) (log1p (sqrt (+ x 1.0))) (log (sqrt (+ x 1.0))) (exp (sqrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) 1 (sqrt (+ x 1.0)) 1 (sqrt (+ x 1.0)) (hypot (pow 1.0 3/2) (pow x 3/2)) (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (sqrt (- (* x x) (* 1.0 1.0))) (sqrt (- x 1.0)) 1/2 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (+ (- (fma 1.0 (/ 1 (sqrt 1.0)) (* 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)))) (fma +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)) (* 0.5 (/ x (pow (sqrt 1.0) 3))))) (+ (+ (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 4))) (/ (- (* +nan.0 x)) 1.0)) (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (fma 1/2 (/ x (sqrt 1.0)) (- (sqrt 1.0) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) 0.647 * * * [progress]: adding candidates to table 0.843 * * [progress]: iteration 3 / 4 0.843 * * * [progress]: picking best candidate 0.863 * * * * [pick]: Picked # 0.863 * * * [progress]: localizing error 0.873 * * * [progress]: generating rewritten candidates 0.873 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.876 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 0.879 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.886 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.901 * * * [progress]: generating series expansions 0.901 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.901 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in (x) around 0 0.901 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 0.901 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 0.901 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 0.901 * [taylor]: Taking taylor expansion of 1/3 in x 0.901 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.901 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.901 * [taylor]: Taking taylor expansion of 1.0 in x 0.903 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 0.903 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 0.903 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 0.903 * [taylor]: Taking taylor expansion of 1/3 in x 0.903 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.903 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of 1.0 in x 0.940 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in (x) around 0 0.940 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 0.941 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 0.941 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 0.941 * [taylor]: Taking taylor expansion of 1/3 in x 0.941 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 0.941 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.941 * [taylor]: Taking taylor expansion of 1.0 in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.942 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 0.942 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 0.942 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 0.942 * [taylor]: Taking taylor expansion of 1/3 in x 0.942 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 0.942 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.942 * [taylor]: Taking taylor expansion of 1.0 in x 0.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.960 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in (x) around 0 0.961 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 0.961 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 0.961 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 0.961 * [taylor]: Taking taylor expansion of 1/3 in x 0.961 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.961 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.961 * [taylor]: Taking taylor expansion of 1.0 in x 0.961 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.963 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 0.963 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 0.963 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 0.963 * [taylor]: Taking taylor expansion of 1/3 in x 0.963 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.963 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.963 * [taylor]: Taking taylor expansion of 1.0 in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.987 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 0.987 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in (x) around 0 0.987 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 0.987 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 0.987 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 0.987 * [taylor]: Taking taylor expansion of 1/3 in x 0.987 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.987 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of 1.0 in x 0.989 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 0.989 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 0.990 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 0.990 * [taylor]: Taking taylor expansion of 1/3 in x 0.990 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.990 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of 1.0 in x 1.028 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in (x) around 0 1.028 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 1.028 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 1.028 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 1.028 * [taylor]: Taking taylor expansion of 1/3 in x 1.028 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.028 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.028 * [taylor]: Taking taylor expansion of 1.0 in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.029 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 1.029 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 1.029 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 1.030 * [taylor]: Taking taylor expansion of 1/3 in x 1.030 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.030 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.030 * [taylor]: Taking taylor expansion of 1.0 in x 1.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.030 * [taylor]: Taking taylor expansion of x in x 1.048 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in (x) around 0 1.048 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 1.048 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 1.048 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 1.048 * [taylor]: Taking taylor expansion of 1/3 in x 1.048 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.048 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.048 * [taylor]: Taking taylor expansion of 1.0 in x 1.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.048 * [taylor]: Taking taylor expansion of x in x 1.050 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 1.050 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 1.050 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 1.050 * [taylor]: Taking taylor expansion of 1/3 in x 1.050 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.050 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.050 * [taylor]: Taking taylor expansion of 1.0 in x 1.050 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.075 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.075 * [approximate]: Taking taylor expansion of (* (fabs (pow (+ x 1.0) 1/3)) (pow (+ x 1.0) 1/6)) in (x) around 0 1.075 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ x 1.0) 1/3)) (pow (+ x 1.0) 1/6)) in x 1.075 * [taylor]: Taking taylor expansion of (fabs (pow (+ x 1.0) 1/3)) in x 1.075 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in x 1.075 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ x 1.0)))) in x 1.075 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ x 1.0))) in x 1.075 * [taylor]: Taking taylor expansion of 1/6 in x 1.075 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.075 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [taylor]: Taking taylor expansion of 1.0 in x 1.077 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ x 1.0) 1/3)) (pow (+ x 1.0) 1/6)) in x 1.077 * [taylor]: Taking taylor expansion of (fabs (pow (+ x 1.0) 1/3)) in x 1.077 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in x 1.077 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ x 1.0)))) in x 1.077 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ x 1.0))) in x 1.077 * [taylor]: Taking taylor expansion of 1/6 in x 1.077 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.077 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.077 * [taylor]: Taking taylor expansion of x in x 1.077 * [taylor]: Taking taylor expansion of 1.0 in x 1.119 * [approximate]: Taking taylor expansion of (* (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) (pow (+ 1.0 (/ 1 x)) 1/6)) in (x) around 0 1.119 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) (pow (+ 1.0 (/ 1 x)) 1/6)) in x 1.119 * [taylor]: Taking taylor expansion of (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) in x 1.119 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/6) in x 1.119 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1.0 (/ 1 x))))) in x 1.119 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1.0 (/ 1 x)))) in x 1.119 * [taylor]: Taking taylor expansion of 1/6 in x 1.119 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.119 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.119 * [taylor]: Taking taylor expansion of 1.0 in x 1.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) (pow (+ 1.0 (/ 1 x)) 1/6)) in x 1.120 * [taylor]: Taking taylor expansion of (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) in x 1.120 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/6) in x 1.120 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1.0 (/ 1 x))))) in x 1.120 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1.0 (/ 1 x)))) in x 1.120 * [taylor]: Taking taylor expansion of 1/6 in x 1.120 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.120 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.140 * [approximate]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/6) (fabs (pow (- 1.0 (/ 1 x)) 1/3))) in (x) around 0 1.140 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/6) (fabs (pow (- 1.0 (/ 1 x)) 1/3))) in x 1.140 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in x 1.141 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 x))))) in x 1.141 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 x)))) in x 1.141 * [taylor]: Taking taylor expansion of 1/6 in x 1.141 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.141 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.141 * [taylor]: Taking taylor expansion of 1.0 in x 1.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.141 * [taylor]: Taking taylor expansion of x in x 1.143 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 x)) 1/3)) in x 1.143 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/6) (fabs (pow (- 1.0 (/ 1 x)) 1/3))) in x 1.143 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in x 1.143 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 x))))) in x 1.143 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 x)))) in x 1.143 * [taylor]: Taking taylor expansion of 1/6 in x 1.143 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.143 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.143 * [taylor]: Taking taylor expansion of 1.0 in x 1.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.143 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 x)) 1/3)) in x 1.170 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.170 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt x) (* (fabs (pow (+ x 1.0) 1/3)) (pow (+ x 1.0) 1/6)))) in (x) around 0 1.170 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt x) (* (fabs (pow (+ x 1.0) 1/3)) (pow (+ x 1.0) 1/6)))) in x 1.170 * [taylor]: Taking taylor expansion of 1.0 in x 1.170 * [taylor]: Taking taylor expansion of (+ (sqrt x) (* (fabs (pow (+ x 1.0) 1/3)) (pow (+ x 1.0) 1/6))) in x 1.170 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.170 * [taylor]: Taking taylor expansion of x in x 1.172 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ x 1.0) 1/3)) (pow (+ x 1.0) 1/6)) in x 1.172 * [taylor]: Taking taylor expansion of (fabs (pow (+ x 1.0) 1/3)) in x 1.172 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in x 1.172 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ x 1.0)))) in x 1.172 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ x 1.0))) in x 1.172 * [taylor]: Taking taylor expansion of 1/6 in x 1.172 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.172 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.172 * [taylor]: Taking taylor expansion of x in x 1.172 * [taylor]: Taking taylor expansion of 1.0 in x 1.175 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt x) (* (fabs (pow (+ x 1.0) 1/3)) (pow (+ x 1.0) 1/6)))) in x 1.175 * [taylor]: Taking taylor expansion of 1.0 in x 1.175 * [taylor]: Taking taylor expansion of (+ (sqrt x) (* (fabs (pow (+ x 1.0) 1/3)) (pow (+ x 1.0) 1/6))) in x 1.175 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.175 * [taylor]: Taking taylor expansion of x in x 1.176 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ x 1.0) 1/3)) (pow (+ x 1.0) 1/6)) in x 1.176 * [taylor]: Taking taylor expansion of (fabs (pow (+ x 1.0) 1/3)) in x 1.176 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/6) in x 1.176 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ x 1.0)))) in x 1.176 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ x 1.0))) in x 1.176 * [taylor]: Taking taylor expansion of 1/6 in x 1.176 * [taylor]: Taking taylor expansion of (log (+ 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 1.237 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (* (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) (pow (+ 1.0 (/ 1 x)) 1/6)))) in (x) around 0 1.237 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (* (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) (pow (+ 1.0 (/ 1 x)) 1/6)))) in x 1.237 * [taylor]: Taking taylor expansion of 1.0 in x 1.237 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (* (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) (pow (+ 1.0 (/ 1 x)) 1/6))) in x 1.237 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.239 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) (pow (+ 1.0 (/ 1 x)) 1/6)) in x 1.239 * [taylor]: Taking taylor expansion of (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) in x 1.239 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/6) in x 1.239 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1.0 (/ 1 x))))) in x 1.239 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1.0 (/ 1 x)))) in x 1.239 * [taylor]: Taking taylor expansion of 1/6 in x 1.239 * [taylor]: Taking taylor expansion of (log (+ 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 1.241 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (* (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) (pow (+ 1.0 (/ 1 x)) 1/6)))) in x 1.241 * [taylor]: Taking taylor expansion of 1.0 in x 1.241 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (* (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) (pow (+ 1.0 (/ 1 x)) 1/6))) in x 1.241 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.241 * [taylor]: Taking taylor expansion of x in x 1.242 * [taylor]: Taking taylor expansion of (* (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) (pow (+ 1.0 (/ 1 x)) 1/6)) in x 1.242 * [taylor]: Taking taylor expansion of (fabs (pow (+ 1.0 (/ 1 x)) 1/3)) in x 1.242 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/6) in x 1.242 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ 1.0 (/ 1 x))))) in x 1.242 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ 1.0 (/ 1 x)))) in x 1.242 * [taylor]: Taking taylor expansion of 1/6 in x 1.242 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.242 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.242 * [taylor]: Taking taylor expansion of 1.0 in x 1.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.242 * [taylor]: Taking taylor expansion of x in x 1.290 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (* (pow (- 1.0 (/ 1 x)) 1/6) (fabs (pow (- 1.0 (/ 1 x)) 1/3))) (sqrt (/ -1 x)))) in (x) around 0 1.290 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (* (pow (- 1.0 (/ 1 x)) 1/6) (fabs (pow (- 1.0 (/ 1 x)) 1/3))) (sqrt (/ -1 x)))) in x 1.290 * [taylor]: Taking taylor expansion of 1.0 in x 1.290 * [taylor]: Taking taylor expansion of (+ (* (pow (- 1.0 (/ 1 x)) 1/6) (fabs (pow (- 1.0 (/ 1 x)) 1/3))) (sqrt (/ -1 x))) in x 1.290 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/6) (fabs (pow (- 1.0 (/ 1 x)) 1/3))) in x 1.290 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in x 1.290 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 x))))) in x 1.290 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 x)))) in x 1.290 * [taylor]: Taking taylor expansion of 1/6 in x 1.290 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.290 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.291 * [taylor]: Taking taylor expansion of 1.0 in x 1.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.291 * [taylor]: Taking taylor expansion of x in x 1.293 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 x)) 1/3)) in x 1.293 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.293 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.293 * [taylor]: Taking taylor expansion of -1 in x 1.293 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (* (pow (- 1.0 (/ 1 x)) 1/6) (fabs (pow (- 1.0 (/ 1 x)) 1/3))) (sqrt (/ -1 x)))) in x 1.296 * [taylor]: Taking taylor expansion of 1.0 in x 1.296 * [taylor]: Taking taylor expansion of (+ (* (pow (- 1.0 (/ 1 x)) 1/6) (fabs (pow (- 1.0 (/ 1 x)) 1/3))) (sqrt (/ -1 x))) in x 1.296 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/6) (fabs (pow (- 1.0 (/ 1 x)) 1/3))) in x 1.296 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/6) in x 1.296 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (- 1.0 (/ 1 x))))) in x 1.296 * [taylor]: Taking taylor expansion of (* 1/6 (log (- 1.0 (/ 1 x)))) in x 1.296 * [taylor]: Taking taylor expansion of 1/6 in x 1.296 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.296 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.296 * [taylor]: Taking taylor expansion of 1.0 in x 1.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.298 * [taylor]: Taking taylor expansion of (fabs (pow (- 1.0 (/ 1 x)) 1/3)) in x 1.298 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.298 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.298 * [taylor]: Taking taylor expansion of -1 in x 1.298 * [taylor]: Taking taylor expansion of x in x 1.349 * * * [progress]: simplifying candidates 1.351 * [simplify]: Simplifying using # : (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt 1) (cbrt (+ x 1.0)) (cbrt 1) (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (* (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt 1) (cbrt (+ x 1.0)) (cbrt 1) (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (* (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (expm1 (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))) (log1p (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (+ (log (fabs (cbrt (+ x 1.0)))) (log (sqrt (cbrt (+ x 1.0))))) (log (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))) (exp (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))) (* (* (* (fabs (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0)))) (fabs (cbrt (+ x 1.0)))) (* (* (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))))) (* (cbrt (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))) (cbrt (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))))) (cbrt (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))) (* (* (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))) (sqrt (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))) (sqrt (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))))) (* (sqrt (fabs (cbrt (+ x 1.0)))) (sqrt (cbrt (sqrt (+ x 1.0))))) (* (sqrt (fabs (cbrt (+ x 1.0)))) (sqrt (cbrt (sqrt (+ x 1.0))))) (* (sqrt (fabs (cbrt (+ x 1.0)))) (sqrt (sqrt (cbrt (+ x 1.0))))) (* (sqrt (fabs (cbrt (+ x 1.0)))) (sqrt (sqrt (cbrt (+ x 1.0))))) (* (sqrt (fabs (cbrt (+ x 1.0)))) (sqrt (sqrt (cbrt (+ x 1.0))))) (* (sqrt (fabs (cbrt (+ x 1.0)))) (sqrt (sqrt (cbrt (+ x 1.0))))) (* (fabs (cbrt (+ x 1.0))) (* (cbrt (sqrt (cbrt (+ x 1.0)))) (cbrt (sqrt (cbrt (+ x 1.0)))))) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (sqrt (+ x 1.0))))) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt 1))) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt 1))) (* (fabs (cbrt (+ x 1.0))) (sqrt (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))))) (* (fabs (cbrt (+ x 1.0))) (sqrt (sqrt (cbrt (+ x 1.0))))) (* (fabs (cbrt (+ x 1.0))) (sqrt 1)) (* (fabs (cbrt (+ x 1.0))) (sqrt (sqrt (cbrt (+ x 1.0))))) (* (fabs (cbrt (+ x 1.0))) 1) (* (cbrt (fabs (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0)))) (* (sqrt (fabs (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0)))) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ (pow x 3) (pow 1.0 3))))) (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (- (* x x) (* 1.0 1.0))))) (expm1 (/ (+ 1.0 0) (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (log1p (/ (+ 1.0 0) (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (- (log (+ 1.0 0)) (log (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (log (/ (+ 1.0 0) (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (exp (/ (+ 1.0 0) (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)) (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x))) (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (* (cbrt (/ (+ 1.0 0) (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (cbrt (/ (+ 1.0 0) (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x))))) (cbrt (/ (+ 1.0 0) (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (* (* (/ (+ 1.0 0) (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x))) (/ (+ 1.0 0) (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (/ (+ 1.0 0) (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (- (+ 1.0 0)) (- (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x))) (cbrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x))) (/ (sqrt (+ 1.0 0)) (* (cbrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x))) (cbrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x))))) (/ (sqrt (+ 1.0 0)) (cbrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (/ (sqrt (+ 1.0 0)) (sqrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (/ (sqrt (+ 1.0 0)) 1) (/ (sqrt (+ 1.0 0)) (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x))) (/ 1 (* (cbrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x))) (cbrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (/ 1 (sqrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x))) (/ 1 (* (cbrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x))) (cbrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x))))) (/ (+ 1.0 0) (cbrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (/ 1 (sqrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (/ 1 1) (/ (+ 1.0 0) (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x))) (/ 1 (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x))) (/ (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)) (+ 1.0 0)) (/ (+ 1.0 0) (* (cbrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x))) (cbrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)))) (/ (+ 1.0 0) 1) (/ (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)) (cbrt (+ 1.0 0))) (/ (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)) (sqrt (+ 1.0 0))) (/ (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)) (+ 1.0 0)) (/ (+ (* (fabs (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (sqrt x)) (+ 1.0 0)) (/ (+ 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x))))) (fabs (pow (+ x 1.0) 1/3))) +nan.0) 3) (pow x 2)))) (- (+ (* +nan.0 (/ 1 (* (pow (- (* (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (pow (+ x 1.0) 1/3))) +nan.0) 2) x))) (- (* +nan.0 (/ 1 (* (pow (- (* (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (pow (+ x 1.0) 1/3))) +nan.0) 3) (pow x 2))))))))))) 1.367 * * [simplify]: iteration 0 : 938 enodes (cost 1649 ) 1.385 * * [simplify]: iteration 1 : 4540 enodes (cost 1538 ) 1.454 * * [simplify]: iteration 2 : 5001 enodes (cost 1534 ) 1.461 * [simplify]: Simplified to: (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt 1) (pow (+ x 1.0) 1/3) (cbrt 1) (pow (+ x 1.0) 1/3) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 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(* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3))))) (fma (pow (/ 1 (pow x 2)) 1/3) 0.3333333333333333 (- (pow (/ 1 x) -1/3) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3)))) (fma 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x) (- (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2))))) (fma (pow 1.0 1/3) (+ (* 0.05555555555555555 (pow x 2)) (* 0.3333333333333333 x)) (- (pow 1.0 1/3) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3))))) (fma (pow (/ 1 (pow x 2)) 1/3) 0.3333333333333333 (- (pow (/ 1 x) -1/3) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3)))) (fma 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x) (- (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2))))) (fma (pow 1.0 1/6) (+ (* 0.16666666666666666 (* x (fabs (pow (+ x 1.0) 1/3)))) (* 0.013888888888888888 (* (pow x 2) (fabs (pow (+ x 1.0) 1/3))))) (- (* (pow 1.0 1/6) (fabs (pow (+ x 1.0) 1/3))) (* 1/12 (* (* (pow x 2) (fabs (pow (+ x 1.0) 1/3))) (pow (/ 1 (pow 1.0 11)) 1/6))))) (fma (* 0.16666666666666666 (fabs (cbrt (+ x 1.0)))) (pow (/ 1 (pow x 5)) 1/6) (* (fabs (cbrt (+ x 1.0))) (- (pow x 1/6) (* 0.06944444444444445 (pow (/ 1 (pow x 11)) 1/6))))) (fma 0.16666666666666666 (/ (* (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (pow (+ x 1.0) 1/3))) x) (- (* (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (pow (+ x 1.0) 1/3))) (* 0.06944444444444445 (/ (* (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (pow (+ x 1.0) 1/3))) (pow x 2))))) (+ (- (fma 0.08333333333333333 (* (/ (pow x 2) (fabs (pow (+ x 1.0) 1/3))) (sqrt (/ 1 (pow 1.0 3)))) (fma 1.0 (* (pow 1.0 1/6) (/ 1 (fabs (pow (+ x 1.0) 1/3)))) (* 0.027777777777777776 (* (/ (* (pow x 2) (sqrt 1.0)) (fabs (pow (+ x 1.0) 1/3))) (pow 1.0 1/3))))) (fma 0.013888888888888888 (/ (* (pow x 2) (sqrt 1.0)) (fabs (pow (+ x 1.0) 1/3))) (* 0.16666666666666666 (/ (* x (sqrt 1.0)) (fabs (pow (+ x 1.0) 1/3)))))) (+ (- (* +nan.0 (/ (* (pow x 2) (sqrt 1.0)) (pow (fabs (pow (+ x 1.0) 1/3)) 3))) (* +nan.0 (* (/ x (pow (fabs (pow (+ x 1.0) 1/3)) 2)) (pow 1.0 1/3)))) (* +nan.0 (- (* (/ (* (pow x 2) (sqrt 1.0)) (pow (fabs (pow (+ x 1.0) 1/3)) 2)) (pow 1.0 1/6)) (* (/ (pow x 2) (pow (fabs (pow (+ x 1.0) 1/3)) 2)) (pow 1.0 1/3)))))) (+ (- (fma 0.027777777777777776 (* (/ (pow (fabs (pow (+ x 1.0) 1/3)) 2) (pow (- (* (pow x 1/6) (fabs (pow (+ x 1.0) 1/3))) +nan.0) 3)) (pow (/ 1 (pow x 5)) 1/3)) (fma 0.06944444444444445 (* (/ (fabs (pow (+ x 1.0) 1/3)) (pow (- (* (pow x 1/6) (fabs (pow (+ x 1.0) 1/3))) +nan.0) 2)) (pow (/ 1 (pow x 11)) 1/6)) (* 1.0 (/ 1 (- (* (pow x 1/6) (fabs (pow (+ x 1.0) 1/3))) +nan.0))))) (fma +nan.0 (/ 1 (* (pow (- (* (pow x 1/6) (fabs (pow (+ x 1.0) 1/3))) +nan.0) 2) (pow x 2))) (* 0.16666666666666666 (* (/ (fabs (pow (+ x 1.0) 1/3)) (pow (- (* (pow x 1/6) (fabs (pow (+ x 1.0) 1/3))) +nan.0) 2)) (pow (/ 1 (pow x 5)) 1/6))))) (- (* +nan.0 (/ 1 (* (pow (- (* (pow x 1/6) (fabs (pow (+ x 1.0) 1/3))) +nan.0) 3) (pow x 2)))) (fma +nan.0 (* (/ (fabs (pow (+ x 1.0) 1/3)) (pow (- (* (pow x 1/6) (fabs (pow (+ x 1.0) 1/3))) +nan.0) 3)) (pow (/ 1 (pow x 11)) 1/6)) (- (* +nan.0 (/ 1 (* (pow (- (* (pow x 1/6) (fabs (pow (+ x 1.0) 1/3))) +nan.0) 2) x))))))) (+ (- (fma 0.027777777777777776 (/ (* (pow (exp (* 1/6 (- (log -1) (log (/ -1 x))))) 2) (pow (fabs (pow (+ x 1.0) 1/3)) 2)) (* (pow (- (* (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (pow (+ x 1.0) 1/3))) +nan.0) 3) (pow x 2))) (fma 0.06944444444444445 (/ (* (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (pow (+ x 1.0) 1/3))) (* (pow (- (* (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (pow (+ x 1.0) 1/3))) +nan.0) 2) (pow x 2))) (* 1.0 (/ 1 (- (* (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (pow (+ x 1.0) 1/3))) +nan.0))))) (fma +nan.0 (/ 1 (* (pow (- (* (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (pow (+ x 1.0) 1/3))) +nan.0) 2) (pow x 2))) (* 0.16666666666666666 (/ (* (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (pow (+ x 1.0) 1/3))) (* (pow (- (* (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (pow (+ x 1.0) 1/3))) +nan.0) 2) x))))) (- (* +nan.0 (/ (* (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (pow (+ x 1.0) 1/3))) (* (pow (- (* (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (pow (+ x 1.0) 1/3))) +nan.0) 3) (pow x 2)))) (fma +nan.0 (/ 1 (* (pow (- (* (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (pow (+ x 1.0) 1/3))) +nan.0) 2) x)) (- (* +nan.0 (/ 1 (* (pow (- (* (exp (* 1/6 (- (log -1) (log (/ -1 x))))) (fabs (pow (+ x 1.0) 1/3))) +nan.0) 3) (pow x 2)))))))) 1.462 * * * [progress]: adding candidates to table 1.865 * * [progress]: iteration 4 / 4 1.865 * * * [progress]: picking best candidate 1.880 * * * * [pick]: Picked # 1.880 * * * [progress]: localizing error 1.890 * * * [progress]: generating rewritten candidates 1.890 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.920 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.936 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.944 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 2.024 * * * [progress]: generating series expansions 2.024 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.025 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.025 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.025 * [taylor]: Taking taylor expansion of 1.0 in x 2.025 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.025 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.025 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.025 * [taylor]: Taking taylor expansion of x in x 2.025 * [taylor]: Taking taylor expansion of 1.0 in x 2.027 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.027 * [taylor]: Taking taylor expansion of x in x 2.029 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.029 * [taylor]: Taking taylor expansion of 1.0 in x 2.029 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.029 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.029 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.029 * [taylor]: Taking taylor expansion of x in x 2.029 * [taylor]: Taking taylor expansion of 1.0 in x 2.031 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.031 * [taylor]: Taking taylor expansion of x in x 2.113 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.113 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.113 * [taylor]: Taking taylor expansion of 1.0 in x 2.113 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.113 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.113 * [taylor]: Taking taylor expansion of x in x 2.114 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.114 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.114 * [taylor]: Taking taylor expansion of 1.0 in x 2.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.114 * [taylor]: Taking taylor expansion of x in x 2.117 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.117 * [taylor]: Taking taylor expansion of 1.0 in x 2.117 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.117 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.117 * [taylor]: Taking taylor expansion of x in x 2.118 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.118 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.118 * [taylor]: Taking taylor expansion of 1.0 in x 2.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.118 * [taylor]: Taking taylor expansion of x in x 2.139 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.139 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.139 * [taylor]: Taking taylor expansion of 1.0 in x 2.139 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.139 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.139 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.139 * [taylor]: Taking taylor expansion of -1 in x 2.139 * [taylor]: Taking taylor expansion of x in x 2.141 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.141 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.141 * [taylor]: Taking taylor expansion of 1.0 in x 2.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.141 * [taylor]: Taking taylor expansion of x in x 2.144 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.144 * [taylor]: Taking taylor expansion of 1.0 in x 2.144 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.144 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.144 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.144 * [taylor]: Taking taylor expansion of -1 in x 2.144 * [taylor]: Taking taylor expansion of x in x 2.145 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.145 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.145 * [taylor]: Taking taylor expansion of 1.0 in x 2.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.145 * [taylor]: Taking taylor expansion of x in x 2.166 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.166 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 2.166 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.167 * [taylor]: Taking taylor expansion of 1.0 in x 2.167 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.167 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.167 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.167 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.167 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.167 * [taylor]: Taking taylor expansion of x in x 2.167 * [taylor]: Taking taylor expansion of 1.0 in x 2.168 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.168 * [taylor]: Taking taylor expansion of x in x 2.191 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.191 * [taylor]: Taking taylor expansion of 1.0 in x 2.191 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.191 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.191 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.191 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.191 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.191 * [taylor]: Taking taylor expansion of x in x 2.191 * [taylor]: Taking taylor expansion of 1.0 in x 2.193 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.193 * [taylor]: Taking taylor expansion of x in x 2.371 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 2.371 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 2.371 * [taylor]: Taking taylor expansion of 1.0 in x 2.371 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.371 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.371 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.371 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.371 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.371 * [taylor]: Taking taylor expansion of x in x 2.373 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.373 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.373 * [taylor]: Taking taylor expansion of 1.0 in x 2.373 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.373 * [taylor]: Taking taylor expansion of x in x 2.383 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 2.383 * [taylor]: Taking taylor expansion of 1.0 in x 2.383 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.383 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.383 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.383 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.383 * [taylor]: Taking taylor expansion of x in x 2.385 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.385 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.385 * [taylor]: Taking taylor expansion of 1.0 in x 2.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.385 * [taylor]: Taking taylor expansion of x in x 2.437 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 2.437 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 2.437 * [taylor]: Taking taylor expansion of 1.0 in x 2.437 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.437 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.437 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.437 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.437 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.437 * [taylor]: Taking taylor expansion of -1 in x 2.437 * [taylor]: Taking taylor expansion of x in x 2.438 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.438 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.438 * [taylor]: Taking taylor expansion of 1.0 in x 2.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.438 * [taylor]: Taking taylor expansion of x in x 2.449 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 2.449 * [taylor]: Taking taylor expansion of 1.0 in x 2.449 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.449 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.449 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.449 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.449 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.449 * [taylor]: Taking taylor expansion of -1 in x 2.449 * [taylor]: Taking taylor expansion of x in x 2.451 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.451 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.451 * [taylor]: Taking taylor expansion of 1.0 in x 2.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.451 * [taylor]: Taking taylor expansion of x in x 2.497 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.497 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.497 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.497 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.497 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.497 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.497 * [taylor]: Taking taylor expansion of x in x 2.497 * [taylor]: Taking taylor expansion of 1.0 in x 2.499 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.499 * [taylor]: Taking taylor expansion of x in x 2.511 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.511 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.511 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.511 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.511 * [taylor]: Taking taylor expansion of x in x 2.511 * [taylor]: Taking taylor expansion of 1.0 in x 2.513 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.513 * [taylor]: Taking taylor expansion of x in x 2.574 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.574 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.574 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.574 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.574 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.574 * [taylor]: Taking taylor expansion of x in x 2.576 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.576 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.576 * [taylor]: Taking taylor expansion of 1.0 in x 2.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.576 * [taylor]: Taking taylor expansion of x in x 2.592 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.592 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.592 * [taylor]: Taking taylor expansion of x in x 2.593 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.593 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.593 * [taylor]: Taking taylor expansion of 1.0 in x 2.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.593 * [taylor]: Taking taylor expansion of x in x 2.621 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.621 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.621 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.621 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.621 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.621 * [taylor]: Taking taylor expansion of -1 in x 2.621 * [taylor]: Taking taylor expansion of x in x 2.622 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.622 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.622 * [taylor]: Taking taylor expansion of 1.0 in x 2.623 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.623 * [taylor]: Taking taylor expansion of x in x 2.632 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.632 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.632 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.632 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.632 * [taylor]: Taking taylor expansion of -1 in x 2.632 * [taylor]: Taking taylor expansion of x in x 2.634 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.634 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.634 * [taylor]: Taking taylor expansion of 1.0 in x 2.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.634 * [taylor]: Taking taylor expansion of x in x 2.662 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.662 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.662 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.662 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.662 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.662 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.662 * [taylor]: Taking taylor expansion of x in x 2.662 * [taylor]: Taking taylor expansion of 1.0 in x 2.664 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.664 * [taylor]: Taking taylor expansion of x in x 2.670 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.670 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.670 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.670 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.670 * [taylor]: Taking taylor expansion of x in x 2.670 * [taylor]: Taking taylor expansion of 1.0 in x 2.678 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.678 * [taylor]: Taking taylor expansion of x in x 2.739 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.739 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.739 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.739 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.739 * [taylor]: Taking taylor expansion of x in x 2.740 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.740 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.740 * [taylor]: Taking taylor expansion of 1.0 in x 2.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.740 * [taylor]: Taking taylor expansion of x in x 2.749 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.749 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.749 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.749 * [taylor]: Taking taylor expansion of x in x 2.751 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.751 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.751 * [taylor]: Taking taylor expansion of 1.0 in x 2.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.751 * [taylor]: Taking taylor expansion of x in x 2.785 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.785 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.785 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.785 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.786 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.786 * [taylor]: Taking taylor expansion of -1 in x 2.786 * [taylor]: Taking taylor expansion of x in x 2.787 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.787 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.787 * [taylor]: Taking taylor expansion of 1.0 in x 2.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.787 * [taylor]: Taking taylor expansion of x in x 2.796 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.797 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) 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 2.798 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.798 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.798 * [taylor]: Taking taylor expansion of 1.0 in x 2.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.798 * [taylor]: Taking taylor expansion of x in x 2.827 * * * [progress]: simplifying candidates 2.849 * [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 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+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)))))) 2.994 * * * [progress]: adding candidates to table 3.579 * [progress]: [Phase 3 of 3] Extracting. 3.579 * * [regime]: Finding splitpoints for: (# # # # # # #) 3.581 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.581 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 3.612 * * * [regime]: Found split indices: #