6.693 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.029 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.030 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.031 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.031 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.033 * * * * [pick]: Picked # 0.033 * * * [progress]: localizing error 0.038 * * * [progress]: generating rewritten candidates 0.038 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.048 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.056 * * * [progress]: generating series expansions 0.056 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.056 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 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 0.060 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.060 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.060 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.060 * [taylor]: Taking taylor expansion of x in x 0.060 * [taylor]: Taking taylor expansion of 1.0 in x 0.062 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.062 * [taylor]: Taking taylor expansion of x in x 0.082 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.082 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.082 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.082 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.082 * [taylor]: Taking taylor expansion of 1.0 in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.085 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.085 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.085 * [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 0.108 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.108 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.108 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.108 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.108 * [taylor]: Taking taylor expansion of 1.0 in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.110 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.110 * [taylor]: Taking taylor expansion of -1 in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.111 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.111 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.111 * [taylor]: Taking taylor expansion of 1.0 in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.113 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.113 * [taylor]: Taking taylor expansion of -1 in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.129 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.129 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.130 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.130 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.131 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.140 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.140 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.140 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.140 * [taylor]: Taking taylor expansion of 1.0 in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.142 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.149 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.149 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.149 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.149 * [taylor]: Taking taylor expansion of 1.0 in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.151 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.151 * [taylor]: Taking taylor expansion of 1.0 in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.158 * * * [progress]: simplifying candidates 0.160 * [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))))) 0.166 * * [simplify]: iteration 0 : 299 enodes (cost 1161 ) 0.171 * * [simplify]: iteration 1 : 921 enodes (cost 822 ) 0.195 * * [simplify]: iteration 2 : 5001 enodes (cost 744 ) 0.199 * [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))))) 0.199 * * * [progress]: adding candidates to table 0.335 * * [progress]: iteration 2 / 4 0.335 * * * [progress]: picking best candidate 0.340 * * * * [pick]: Picked # 0.340 * * * [progress]: localizing error 0.348 * * * [progress]: generating rewritten candidates 0.348 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.361 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.369 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.375 * * * [progress]: generating series expansions 0.375 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.376 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.376 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.376 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.376 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.376 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.376 * [taylor]: Taking taylor expansion of x in x 0.376 * [taylor]: Taking taylor expansion of 1.0 in x 0.378 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.378 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.381 * [taylor]: Taking taylor expansion of 1.0 in x 0.381 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.381 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.381 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of 1.0 in x 0.382 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.462 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.462 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.462 * [taylor]: Taking taylor expansion of 1.0 in x 0.462 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.462 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.463 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.463 * [taylor]: Taking taylor expansion of 1.0 in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.466 * [taylor]: Taking taylor expansion of 1.0 in x 0.466 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.466 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.466 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.467 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.467 * [taylor]: Taking taylor expansion of 1.0 in x 0.467 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.494 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.494 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.494 * [taylor]: Taking taylor expansion of 1.0 in x 0.494 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.494 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.494 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.494 * [taylor]: Taking taylor expansion of -1 in x 0.494 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.496 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.496 * [taylor]: Taking taylor expansion of 1.0 in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.499 * [taylor]: Taking taylor expansion of 1.0 in x 0.499 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.499 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.499 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.499 * [taylor]: Taking taylor expansion of -1 in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.500 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.500 * [taylor]: Taking taylor expansion of 1.0 in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.521 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.521 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.522 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.522 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.522 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.523 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.525 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.525 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.545 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.545 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.545 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.545 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.546 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.546 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.546 * [taylor]: Taking taylor expansion of x in x 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 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 0.564 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.564 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.564 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.564 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.564 * [taylor]: Taking taylor expansion of -1 in x 0.564 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.565 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.565 * [taylor]: Taking taylor expansion of 1.0 in x 0.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.571 * [taylor]: Taking taylor expansion of x in x 0.573 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.573 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.573 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.573 * [taylor]: Taking taylor expansion of -1 in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.575 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.575 * [taylor]: Taking taylor expansion of 1.0 in x 0.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.590 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.590 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.590 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.590 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of 1.0 in x 0.592 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.592 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of 1.0 in x 0.601 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.601 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.601 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.601 * [taylor]: Taking taylor expansion of 1.0 in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.603 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.603 * [taylor]: Taking taylor expansion of 1.0 in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.610 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.610 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.610 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.610 * [taylor]: Taking taylor expansion of 1.0 in x 0.610 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.610 * [taylor]: Taking taylor expansion of x in x 0.612 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.612 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.612 * [taylor]: Taking taylor expansion of 1.0 in x 0.612 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.620 * * * [progress]: simplifying candidates 0.622 * [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))))) 0.628 * * [simplify]: iteration 0 : 409 enodes (cost 789 ) 0.636 * * [simplify]: iteration 1 : 1675 enodes (cost 716 ) 0.668 * * [simplify]: iteration 2 : 5001 enodes (cost 675 ) 0.672 * [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))))) 0.672 * * * [progress]: adding candidates to table 0.882 * * [progress]: iteration 3 / 4 0.882 * * * [progress]: picking best candidate 0.895 * * * * [pick]: Picked # 0.895 * * * [progress]: localizing error 0.905 * * * [progress]: generating rewritten candidates 0.905 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.911 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.911 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.919 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.926 * * * [progress]: generating series expansions 0.926 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.927 * [approximate]: Taking taylor expansion of (/ 1.0 (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x))) in (x) around 0 0.927 * [taylor]: Taking taylor expansion of (/ 1.0 (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x))) in x 0.927 * [taylor]: Taking taylor expansion of 1.0 in x 0.927 * [taylor]: Taking taylor expansion of (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x)) in x 0.927 * [taylor]: Rewrote expression to (+ (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) (sqrt x)) 0.927 * [taylor]: Taking taylor expansion of (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) in x 0.927 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 0.927 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 0.927 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 0.927 * [taylor]: Taking taylor expansion of 1/4 in x 0.927 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.927 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.927 * [taylor]: Taking taylor expansion of x in x 0.927 * [taylor]: Taking taylor expansion of 1.0 in x 0.930 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 0.930 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 0.930 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 0.930 * [taylor]: Taking taylor expansion of 1/4 in x 0.930 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.930 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of 1.0 in x 0.932 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (/ 1.0 (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x))) in x 0.935 * [taylor]: Taking taylor expansion of 1.0 in x 0.935 * [taylor]: Taking taylor expansion of (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x)) in x 0.935 * [taylor]: Rewrote expression to (+ (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) (sqrt x)) 0.935 * [taylor]: Taking taylor expansion of (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) in x 0.935 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 0.935 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 0.935 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 0.935 * [taylor]: Taking taylor expansion of 1/4 in x 0.935 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.936 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.936 * [taylor]: Taking taylor expansion of x in x 0.936 * [taylor]: Taking taylor expansion of 1.0 in x 0.938 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 0.938 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 0.938 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 0.938 * [taylor]: Taking taylor expansion of 1/4 in x 0.938 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.938 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of 1.0 in x 0.940 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.940 * [taylor]: Taking taylor expansion of x in x 1.086 * [approximate]: Taking taylor expansion of (/ 1.0 (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x)))) in (x) around 0 1.087 * [taylor]: Taking taylor expansion of (/ 1.0 (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x)))) in x 1.087 * [taylor]: Taking taylor expansion of 1.0 in x 1.087 * [taylor]: Taking taylor expansion of (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x))) in x 1.087 * [taylor]: Rewrote expression to (+ (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) (sqrt (/ 1 x))) 1.087 * [taylor]: Taking taylor expansion of (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) in x 1.087 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.087 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.087 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.087 * [taylor]: Taking taylor expansion of 1/4 in x 1.087 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.087 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.087 * [taylor]: Taking taylor expansion of 1.0 in x 1.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.087 * [taylor]: Taking taylor expansion of x in x 1.089 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.089 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.089 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.089 * [taylor]: Taking taylor expansion of 1/4 in x 1.089 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.089 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.089 * [taylor]: Taking taylor expansion of 1.0 in x 1.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.089 * [taylor]: Taking taylor expansion of x in x 1.090 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.090 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.092 * [taylor]: Taking taylor expansion of (/ 1.0 (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x)))) in x 1.092 * [taylor]: Taking taylor expansion of 1.0 in x 1.092 * [taylor]: Taking taylor expansion of (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x))) in x 1.092 * [taylor]: Rewrote expression to (+ (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) (sqrt (/ 1 x))) 1.092 * [taylor]: Taking taylor expansion of (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) in x 1.092 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.092 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.092 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.092 * [taylor]: Taking taylor expansion of 1/4 in x 1.092 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.092 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.092 * [taylor]: Taking taylor expansion of 1.0 in x 1.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.093 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.093 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.093 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.093 * [taylor]: Taking taylor expansion of 1/4 in x 1.093 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.093 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.093 * [taylor]: Taking taylor expansion of 1.0 in x 1.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.094 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.142 * [approximate]: Taking taylor expansion of (/ 1.0 (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x)))) in (x) around 0 1.142 * [taylor]: Taking taylor expansion of (/ 1.0 (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x)))) in x 1.142 * [taylor]: Taking taylor expansion of 1.0 in x 1.142 * [taylor]: Taking taylor expansion of (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x))) in x 1.142 * [taylor]: Rewrote expression to (+ (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) (sqrt (/ -1 x))) 1.142 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) in x 1.142 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.142 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.142 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.142 * [taylor]: Taking taylor expansion of 1/4 in x 1.142 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.142 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.142 * [taylor]: Taking taylor expansion of 1.0 in x 1.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.144 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.144 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.144 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.144 * [taylor]: Taking taylor expansion of 1/4 in x 1.144 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.144 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.144 * [taylor]: Taking taylor expansion of 1.0 in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.146 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.146 * [taylor]: Taking taylor expansion of -1 in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.149 * [taylor]: Taking taylor expansion of (/ 1.0 (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x)))) in x 1.149 * [taylor]: Taking taylor expansion of 1.0 in x 1.149 * [taylor]: Taking taylor expansion of (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x))) in x 1.150 * [taylor]: Rewrote expression to (+ (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) (sqrt (/ -1 x))) 1.150 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) in x 1.150 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.150 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.150 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.150 * [taylor]: Taking taylor expansion of 1/4 in x 1.150 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.150 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.150 * [taylor]: Taking taylor expansion of 1.0 in x 1.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.150 * [taylor]: Taking taylor expansion of x in x 1.152 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.152 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.152 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.152 * [taylor]: Taking taylor expansion of 1/4 in x 1.152 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.152 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.152 * [taylor]: Taking taylor expansion of 1.0 in x 1.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.154 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.154 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.154 * [taylor]: Taking taylor expansion of -1 in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.231 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.231 * [approximate]: Taking taylor expansion of (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x)) in (x) around 0 1.231 * [taylor]: Taking taylor expansion of (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x)) in x 1.232 * [taylor]: Rewrote expression to (+ (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) (sqrt x)) 1.232 * [taylor]: Taking taylor expansion of (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) in x 1.232 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.232 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.232 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.232 * [taylor]: Taking taylor expansion of 1/4 in x 1.232 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.232 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.232 * [taylor]: Taking taylor expansion of x in x 1.232 * [taylor]: Taking taylor expansion of 1.0 in x 1.234 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.234 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.234 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.234 * [taylor]: Taking taylor expansion of 1/4 in x 1.234 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.234 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.234 * [taylor]: Taking taylor expansion of x in x 1.234 * [taylor]: Taking taylor expansion of 1.0 in x 1.236 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.236 * [taylor]: Taking taylor expansion of x in x 1.237 * [taylor]: Taking taylor expansion of (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x)) in x 1.237 * [taylor]: Rewrote expression to (+ (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) (sqrt x)) 1.237 * [taylor]: Taking taylor expansion of (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) in x 1.237 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.237 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.237 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.237 * [taylor]: Taking taylor expansion of 1/4 in x 1.237 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.237 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.237 * [taylor]: Taking taylor expansion of x in x 1.237 * [taylor]: Taking taylor expansion of 1.0 in x 1.239 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.239 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.239 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.239 * [taylor]: Taking taylor expansion of 1/4 in x 1.239 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.239 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.239 * [taylor]: Taking taylor expansion of 1.0 in x 1.241 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.241 * [taylor]: Taking taylor expansion of x in x 1.329 * [approximate]: Taking taylor expansion of (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x))) in (x) around 0 1.329 * [taylor]: Taking taylor expansion of (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x))) in x 1.329 * [taylor]: Rewrote expression to (+ (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) (sqrt (/ 1 x))) 1.330 * [taylor]: Taking taylor expansion of (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) in x 1.330 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.330 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.330 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.330 * [taylor]: Taking taylor expansion of 1/4 in x 1.330 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.330 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.330 * [taylor]: Taking taylor expansion of 1.0 in x 1.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.331 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.331 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.331 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.331 * [taylor]: Taking taylor expansion of 1/4 in x 1.331 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.331 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.331 * [taylor]: Taking taylor expansion of 1.0 in x 1.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of (fma (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4) (sqrt (/ 1 x))) in x 1.333 * [taylor]: Rewrote expression to (+ (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) (sqrt (/ 1 x))) 1.334 * [taylor]: Taking taylor expansion of (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) in x 1.334 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.334 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.334 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.334 * [taylor]: Taking taylor expansion of 1/4 in x 1.334 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.334 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.334 * [taylor]: Taking taylor expansion of 1.0 in x 1.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.335 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.335 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.335 * [taylor]: Taking taylor expansion of 1/4 in x 1.335 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.335 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.336 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.336 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.336 * [taylor]: Taking taylor expansion of x in x 1.385 * [approximate]: Taking taylor expansion of (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x))) in (x) around 0 1.385 * [taylor]: Taking taylor expansion of (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x))) in x 1.385 * [taylor]: Rewrote expression to (+ (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) (sqrt (/ -1 x))) 1.385 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) in x 1.385 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.385 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.385 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.385 * [taylor]: Taking taylor expansion of 1/4 in x 1.385 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.385 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.385 * [taylor]: Taking taylor expansion of 1.0 in x 1.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.385 * [taylor]: Taking taylor expansion of x in x 1.387 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.387 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.387 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.387 * [taylor]: Taking taylor expansion of 1/4 in x 1.387 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.387 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.387 * [taylor]: Taking taylor expansion of 1.0 in x 1.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.387 * [taylor]: Taking taylor expansion of x in x 1.389 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.389 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.389 * [taylor]: Taking taylor expansion of -1 in x 1.389 * [taylor]: Taking taylor expansion of x in x 1.391 * [taylor]: Taking taylor expansion of (fma (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4) (sqrt (/ -1 x))) in x 1.391 * [taylor]: Rewrote expression to (+ (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) (sqrt (/ -1 x))) 1.391 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) in x 1.391 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.391 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.391 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.391 * [taylor]: Taking taylor expansion of 1/4 in x 1.391 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.391 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.391 * [taylor]: Taking taylor expansion of 1.0 in x 1.391 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.391 * [taylor]: Taking taylor expansion of x in x 1.393 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.393 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.393 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.393 * [taylor]: Taking taylor expansion of 1/4 in x 1.393 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.393 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.393 * [taylor]: Taking taylor expansion of 1.0 in x 1.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.393 * [taylor]: Taking taylor expansion of x in x 1.395 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.396 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.396 * [taylor]: Taking taylor expansion of -1 in x 1.396 * [taylor]: Taking taylor expansion of x in x 1.458 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 1.459 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 1.459 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.459 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.459 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.459 * [taylor]: Taking taylor expansion of 1/4 in x 1.459 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.459 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.459 * [taylor]: Taking taylor expansion of x in x 1.459 * [taylor]: Taking taylor expansion of 1.0 in x 1.461 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.461 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.461 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.461 * [taylor]: Taking taylor expansion of 1/4 in x 1.461 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.461 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.461 * [taylor]: Taking taylor expansion of x in x 1.461 * [taylor]: Taking taylor expansion of 1.0 in x 1.494 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 1.494 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.494 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.494 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.494 * [taylor]: Taking taylor expansion of 1/4 in x 1.494 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.494 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.494 * [taylor]: Taking taylor expansion of 1.0 in x 1.495 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.495 * [taylor]: Taking taylor expansion of x in x 1.496 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.496 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.496 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.496 * [taylor]: Taking taylor expansion of 1/4 in x 1.496 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.496 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.496 * [taylor]: Taking taylor expansion of 1.0 in x 1.496 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.496 * [taylor]: Taking taylor expansion of x in x 1.522 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 1.522 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.522 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.522 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.522 * [taylor]: Taking taylor expansion of 1/4 in x 1.522 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.522 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.522 * [taylor]: Taking taylor expansion of 1.0 in x 1.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.522 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.524 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.524 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.524 * [taylor]: Taking taylor expansion of 1/4 in x 1.524 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.524 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.524 * [taylor]: Taking taylor expansion of 1.0 in x 1.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.549 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.549 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 1.549 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.549 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.549 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.549 * [taylor]: Taking taylor expansion of 1/4 in x 1.549 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.549 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.549 * [taylor]: Taking taylor expansion of x in x 1.549 * [taylor]: Taking taylor expansion of 1.0 in x 1.551 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.551 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.551 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.551 * [taylor]: Taking taylor expansion of 1/4 in x 1.551 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.551 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.551 * [taylor]: Taking taylor expansion of x in x 1.551 * [taylor]: Taking taylor expansion of 1.0 in x 1.584 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 1.584 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.584 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.584 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.584 * [taylor]: Taking taylor expansion of 1/4 in x 1.584 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.584 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.584 * [taylor]: Taking taylor expansion of 1.0 in x 1.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.584 * [taylor]: Taking taylor expansion of x in x 1.586 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.586 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.586 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.586 * [taylor]: Taking taylor expansion of 1/4 in x 1.586 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.586 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.586 * [taylor]: Taking taylor expansion of 1.0 in x 1.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.586 * [taylor]: Taking taylor expansion of x in x 1.611 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 1.612 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.612 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.612 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.612 * [taylor]: Taking taylor expansion of 1/4 in x 1.612 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.612 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.612 * [taylor]: Taking taylor expansion of 1.0 in x 1.612 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.612 * [taylor]: Taking taylor expansion of x in x 1.614 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.614 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.614 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.614 * [taylor]: Taking taylor expansion of 1/4 in x 1.614 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.614 * [taylor]: Taking taylor expansion of 1.0 in x 1.614 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.614 * [taylor]: Taking taylor expansion of x in x 1.638 * * * [progress]: simplifying candidates 1.640 * [simplify]: Simplifying using # : (expm1 (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (log1p (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (- (log (+ 1.0 0)) (log (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (log (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (exp (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (* (cbrt (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (cbrt (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x))))) (cbrt (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (* (* (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x))) (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (sqrt (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (sqrt (/ (+ 1.0 0) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (- (+ 1.0 0)) (- (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (* (cbrt (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x))) (cbrt (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x))))) (/ (cbrt (+ 1.0 0)) (cbrt (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) (sqrt (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (/ (cbrt (+ 1.0 0)) (sqrt (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x)))) (/ (* (cbrt (+ 1.0 0)) (cbrt (+ 1.0 0))) 1) (/ (cbrt (+ 1.0 0)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (sqrt x))) (/ (sqrt (+ 1.0 0)) (* (cbrt (fma (sqrt (sqrt 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(cbrt (sqrt (sqrt (+ x 1.0)))) (cbrt (sqrt (sqrt (+ x 1.0))))) (cbrt (sqrt (sqrt (+ x 1.0)))) (pow (sqrt (sqrt (+ x 1.0))) 3) (fabs (cbrt (sqrt (+ x 1.0)))) (sqrt (cbrt (sqrt (+ x 1.0)))) (sqrt (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (sqrt (sqrt (cbrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) 1 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ (pow x 3) (pow 1.0 3)))) (sqrt (sqrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (sqrt (- x 1.0))) 1/4 1/2 1/4 (sqrt (sqrt (sqrt (+ x 1.0)))) (sqrt (sqrt (sqrt (+ x 1.0)))) (+ (- (fma 1.0 (/ 1 (sqrt 1.0)) (fma 0.25 (/ (pow x 2) (* (sqrt 1.0) (pow 1.0 2))) (* 0.125 (/ (pow x 2) (sqrt 1.0))))) (fma +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 2)) (* 0.5 (/ x (sqrt 1.0))))) (* +nan.0 (- (/ x (pow (sqrt 1.0) 2)) (/ (pow x 2) (pow (sqrt 1.0) 3))))) (+ (- (fma 0.125 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (- (sqrt x) +nan.0) 2))) (fma 1.0 (/ 1 (- (sqrt x) +nan.0)) (* 0.25 (/ 1 (* x (pow (- (sqrt x) +nan.0) 3)))))) (fma (* +nan.0 (sqrt (/ 1 (pow x 3)))) (/ 1 (pow (- (sqrt x) +nan.0) 3)) (* 0.5 (* (sqrt (/ 1 x)) (/ 1 (pow (- (sqrt x) +nan.0) 2)))))) (- (* +nan.0 (/ 1 (* (pow (- (sqrt x) +nan.0) 3) (pow x 2)))) (fma +nan.0 (/ 1 (* (pow (- (sqrt x) +nan.0) 2) (pow x 2))) (- (* +nan.0 (/ 1 (* (pow (- (sqrt x) +nan.0) 2) x))))))) (+ (- (fma 0.125 (/ (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) (* (pow x 2) (pow (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0) 2))) (fma 1.0 (/ 1 (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0)) (* 0.25 (/ (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 4) (* (pow x 2) (pow (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0) 3)))))) (fma +nan.0 (/ (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) (* (pow x 2) (pow (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0) 3))) (* 0.5 (/ (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) (* x (pow (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0) 2)))))) (- (* +nan.0 (/ 1 (* x (pow (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0) 2)))) (fma +nan.0 (/ 1 (* (pow x 2) (pow (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0) 3))) (- (* +nan.0 (/ 1 (* (pow x 2) (pow (- (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) +nan.0) 2)))))))) (fma (sqrt 1.0) (+ (* 0.5 x) (* 0.125 (pow x 2))) (- (sqrt 1.0) (fma +nan.0 (pow x 2) (- (* 1/4 (/ (* (pow x 2) (sqrt 1.0)) (pow 1.0 2))) (* +nan.0 x))))) (+ (- (fma 0.5 (sqrt (/ 1 x)) (sqrt x)) (fma +nan.0 (/ 1 (pow x 2)) (* 0.125 (sqrt (/ 1 (pow x 3)))))) (fma +nan.0 (/ 1 x) (- +nan.0))) (+ (- (fma 0.5 (/ (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) x) (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2)) (fma +nan.0 (/ 1 (pow x 2)) (* 0.125 (/ (pow (exp (* 1/4 (- (log -1) (log (/ -1 x))))) 2) (pow x 2))))) (fma +nan.0 (/ 1 x) (- +nan.0))) (fma (pow 1.0 1/4) (+ (* 0.25 x) (* 0.03125 (pow x 2))) (- (pow 1.0 1/4) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4))))) (fma (pow (/ 1 (pow x 3)) 1/4) 0.25 (- (pow (/ 1 x) -1/4) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4)))) (fma 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x) (- (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2))))) (fma (pow 1.0 1/4) (+ (* 0.25 x) (* 0.03125 (pow x 2))) (- (pow 1.0 1/4) (* 1/8 (* (pow x 2) (pow (/ 1 (pow 1.0 7)) 1/4))))) (fma (pow (/ 1 (pow x 3)) 1/4) 0.25 (- (pow (/ 1 x) -1/4) (* 0.09375 (pow (/ 1 (pow x 7)) 1/4)))) (fma 0.25 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) x) (- (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (* 0.09375 (/ (exp (* 1/4 (- (log -1) (log (/ -1 x))))) (pow x 2))))) 1.718 * * * [progress]: adding candidates to table 2.040 * * [progress]: iteration 4 / 4 2.040 * * * [progress]: picking best candidate 2.052 * * * * [pick]: Picked # 2.052 * * * [progress]: localizing error 2.063 * * * [progress]: generating rewritten candidates 2.063 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.101 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.115 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.123 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 2.186 * * * [progress]: generating series expansions 2.186 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.187 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.187 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.187 * [taylor]: Taking taylor expansion of 1.0 in x 2.187 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.187 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.187 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.187 * [taylor]: Taking taylor expansion of x in x 2.187 * [taylor]: Taking taylor expansion of 1.0 in x 2.189 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.189 * [taylor]: Taking taylor expansion of x in x 2.191 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (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 (+ 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 2.290 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.291 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.291 * [taylor]: Taking taylor expansion of 1.0 in x 2.291 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.291 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.291 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.291 * [taylor]: Taking taylor expansion of x in x 2.292 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.292 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.292 * [taylor]: Taking taylor expansion of 1.0 in x 2.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.292 * [taylor]: Taking taylor expansion of x in x 2.295 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.295 * [taylor]: Taking taylor expansion of 1.0 in x 2.295 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.295 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.295 * [taylor]: Taking taylor expansion of x in x 2.296 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.296 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.296 * [taylor]: Taking taylor expansion of 1.0 in x 2.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.296 * [taylor]: Taking taylor expansion of x in x 2.317 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.317 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.317 * [taylor]: Taking taylor expansion of 1.0 in x 2.317 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.317 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.317 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.317 * [taylor]: Taking taylor expansion of -1 in x 2.317 * [taylor]: Taking taylor expansion of x in x 2.318 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.318 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.318 * [taylor]: Taking taylor expansion of 1.0 in x 2.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.318 * [taylor]: Taking taylor expansion of x in x 2.321 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.321 * [taylor]: Taking taylor expansion of 1.0 in x 2.321 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.321 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.321 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.321 * [taylor]: Taking taylor expansion of -1 in x 2.321 * [taylor]: Taking taylor expansion of x in x 2.322 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.322 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.322 * [taylor]: Taking taylor expansion of 1.0 in x 2.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.322 * [taylor]: Taking taylor expansion of x in x 2.350 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.351 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 2.351 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.351 * [taylor]: Taking taylor expansion of 1.0 in x 2.351 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.351 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.351 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.351 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.351 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.351 * [taylor]: Taking taylor expansion of x in x 2.351 * [taylor]: Taking taylor expansion of 1.0 in x 2.353 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.353 * [taylor]: Taking taylor expansion of x in x 2.370 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.370 * [taylor]: Taking taylor expansion of 1.0 in x 2.370 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.370 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.370 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.370 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.370 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.370 * [taylor]: Taking taylor expansion of x in x 2.370 * [taylor]: Taking taylor expansion of 1.0 in x 2.372 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.372 * [taylor]: Taking taylor expansion of x in x 2.553 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 2.553 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 2.553 * [taylor]: Taking taylor expansion of 1.0 in x 2.553 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.553 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.553 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.553 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.553 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.553 * [taylor]: Taking taylor expansion of x in x 2.555 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.555 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.555 * [taylor]: Taking taylor expansion of 1.0 in x 2.555 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.555 * [taylor]: Taking taylor expansion of x in x 2.565 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 2.565 * [taylor]: Taking taylor expansion of 1.0 in x 2.565 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.565 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.565 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.565 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.565 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.565 * [taylor]: Taking taylor expansion of x in x 2.566 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.567 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.567 * [taylor]: Taking taylor expansion of 1.0 in x 2.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.567 * [taylor]: Taking taylor expansion of x in x 2.620 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 2.620 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 2.620 * [taylor]: Taking taylor expansion of 1.0 in x 2.620 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.620 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.620 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.620 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.620 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.620 * [taylor]: Taking taylor expansion of -1 in x 2.620 * [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 2.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.622 * [taylor]: Taking taylor expansion of x in x 2.633 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 2.633 * [taylor]: Taking taylor expansion of 1.0 in x 2.633 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.633 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.633 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.633 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.633 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.633 * [taylor]: Taking taylor expansion of -1 in x 2.633 * [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 2.687 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.687 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.687 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.688 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.688 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.688 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.688 * [taylor]: Taking taylor expansion of x in x 2.688 * [taylor]: Taking taylor expansion of 1.0 in x 2.690 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.690 * [taylor]: Taking taylor expansion of x in x 2.696 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.696 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.696 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.696 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.696 * [taylor]: Taking taylor expansion of x in x 2.696 * [taylor]: Taking taylor expansion of 1.0 in x 2.698 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.698 * [taylor]: Taking taylor expansion of x in x 2.767 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.767 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.767 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.767 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.767 * [taylor]: Taking taylor expansion of x in x 2.769 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.769 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.769 * [taylor]: Taking taylor expansion of 1.0 in x 2.769 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.769 * [taylor]: Taking taylor expansion of x in x 2.778 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.778 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.778 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.778 * [taylor]: Taking taylor expansion of x in x 2.779 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.779 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.779 * [taylor]: Taking taylor expansion of 1.0 in x 2.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.779 * [taylor]: Taking taylor expansion of x in x 2.808 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.808 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.808 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.808 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.808 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.808 * [taylor]: Taking taylor expansion of -1 in x 2.808 * [taylor]: Taking taylor expansion of x in x 2.809 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.809 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.809 * [taylor]: Taking taylor expansion of 1.0 in x 2.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.809 * [taylor]: Taking taylor expansion of x in x 2.819 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.819 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.819 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.819 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.819 * [taylor]: Taking taylor expansion of -1 in x 2.819 * [taylor]: Taking taylor expansion of x in x 2.821 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.821 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.821 * [taylor]: Taking taylor expansion of 1.0 in x 2.821 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.821 * [taylor]: Taking taylor expansion of x in x 2.855 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.856 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.856 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.856 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.856 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.856 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.856 * [taylor]: Taking taylor expansion of x in x 2.856 * [taylor]: Taking taylor expansion of 1.0 in x 2.857 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.857 * [taylor]: Taking taylor expansion of x in x 2.864 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.864 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.864 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.864 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.864 * [taylor]: Taking taylor expansion of x in x 2.864 * [taylor]: Taking taylor expansion of 1.0 in x 2.866 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.866 * [taylor]: Taking taylor expansion of x in x 2.926 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.926 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.926 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.926 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.927 * [taylor]: Taking taylor expansion of x in x 2.928 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.928 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.928 * [taylor]: Taking taylor expansion of 1.0 in x 2.928 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.928 * [taylor]: Taking taylor expansion of x in x 2.944 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.944 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.944 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.944 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.944 * [taylor]: Taking taylor expansion of x in x 2.945 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.945 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.945 * [taylor]: Taking taylor expansion of 1.0 in x 2.945 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.945 * [taylor]: Taking taylor expansion of x in x 2.973 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.974 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.974 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.974 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.974 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.974 * [taylor]: Taking taylor expansion of -1 in x 2.974 * [taylor]: Taking taylor expansion of x in x 2.975 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.975 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.975 * [taylor]: Taking taylor expansion of 1.0 in x 2.975 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.975 * [taylor]: Taking taylor expansion of x in x 2.984 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.984 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.984 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.984 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.984 * [taylor]: Taking taylor expansion of -1 in x 2.984 * [taylor]: Taking taylor expansion of x in x 2.986 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.986 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.986 * [taylor]: Taking taylor expansion of 1.0 in x 2.986 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.986 * [taylor]: Taking taylor expansion of x in x 3.015 * * * [progress]: simplifying candidates 3.033 * [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 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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)))))) 3.186 * * * [progress]: adding candidates to table 3.796 * [progress]: [Phase 3 of 3] Extracting. 3.796 * * [regime]: Finding splitpoints for: (# # # # # # #) 3.799 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.799 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 3.831 * * * [regime]: Found split indices: #