9.561 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.024 * * * [progress]: [2/2] Setting up program. 0.025 * [progress]: [Phase 2 of 3] Improving. 0.026 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.028 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.029 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.030 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.031 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.031 * * [progress]: iteration 1 / 4 0.031 * * * [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) 0.063 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.074 * * * [progress]: generating series expansions 0.074 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.074 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.074 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.074 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.074 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of 1.0 in x 0.076 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.077 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.077 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.077 * [taylor]: Taking taylor expansion of x in x 0.077 * [taylor]: Taking taylor expansion of 1.0 in x 0.079 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.099 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.099 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.099 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.099 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.100 * [taylor]: Taking taylor expansion of 1.0 in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.102 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.102 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.102 * [taylor]: Taking taylor expansion of 1.0 in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.119 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.119 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.119 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.119 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.119 * [taylor]: Taking taylor expansion of 1.0 in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.121 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.121 * [taylor]: Taking taylor expansion of -1 in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.122 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.123 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.123 * [taylor]: Taking taylor expansion of 1.0 in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.124 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.124 * [taylor]: Taking taylor expansion of -1 in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.140 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.141 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.141 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.142 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.142 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of 1.0 in x 0.155 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.155 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.155 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.155 * [taylor]: Taking taylor expansion of 1.0 in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.157 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.157 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.157 * [taylor]: Taking taylor expansion of 1.0 in x 0.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.157 * [taylor]: Taking taylor expansion of x in x 0.164 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.164 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.164 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.166 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.166 * [taylor]: Taking taylor expansion of 1.0 in x 0.166 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.173 * * * [progress]: simplifying candidates 0.175 * [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))))) 0.181 * * [simplify]: iteration 0 : 299 enodes (cost 1161 ) 0.186 * * [simplify]: iteration 1 : 921 enodes (cost 822 ) 0.210 * * [simplify]: iteration 2 : 5001 enodes (cost 744 ) 0.213 * [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))))) 0.214 * * * [progress]: adding candidates to table 0.354 * * [progress]: iteration 2 / 4 0.355 * * * [progress]: picking best candidate 0.360 * * * * [pick]: Picked # 0.361 * * * [progress]: localizing error 0.368 * * * [progress]: generating rewritten candidates 0.368 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.399 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.417 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.424 * * * [progress]: generating series expansions 0.424 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.424 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.424 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.424 * [taylor]: Taking taylor expansion of 1.0 in x 0.424 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.424 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.425 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of 1.0 in x 0.426 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.426 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.429 * [taylor]: Taking taylor expansion of 1.0 in x 0.429 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.429 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.429 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of 1.0 in x 0.430 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.508 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.508 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.508 * [taylor]: Taking taylor expansion of 1.0 in x 0.508 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.508 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.508 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.510 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.510 * [taylor]: Taking taylor expansion of 1.0 in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.512 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.513 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.514 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.514 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.540 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.540 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.540 * [taylor]: Taking taylor expansion of 1.0 in x 0.540 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.540 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.540 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.540 * [taylor]: Taking taylor expansion of -1 in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.542 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.542 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.542 * [taylor]: Taking taylor expansion of 1.0 in x 0.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.542 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.545 * [taylor]: Taking taylor expansion of 1.0 in x 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 -1 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 0.567 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.567 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.567 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.567 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.567 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.567 * [taylor]: Taking taylor expansion of x in x 0.567 * [taylor]: Taking taylor expansion of 1.0 in x 0.569 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.569 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.570 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.570 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.570 * [taylor]: Taking taylor expansion of x in x 0.570 * [taylor]: Taking taylor expansion of 1.0 in x 0.572 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.590 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.591 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.591 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.592 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.592 * [taylor]: Taking taylor expansion of 1.0 in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.594 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.595 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.595 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.595 * [taylor]: Taking taylor expansion of 1.0 in x 0.595 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.595 * [taylor]: Taking taylor expansion of x in x 0.609 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.609 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.609 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.609 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.609 * [taylor]: Taking taylor expansion of -1 in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.611 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.611 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.611 * [taylor]: Taking taylor expansion of 1.0 in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.613 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.613 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.613 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.613 * [taylor]: Taking taylor expansion of -1 in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.620 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.620 * [taylor]: Taking taylor expansion of 1.0 in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.635 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.635 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.635 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.635 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of 1.0 in x 0.637 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.637 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of 1.0 in x 0.646 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.646 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.646 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.646 * [taylor]: Taking taylor expansion of 1.0 in x 0.646 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.646 * [taylor]: Taking taylor expansion of x in x 0.647 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.648 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.648 * [taylor]: Taking taylor expansion of 1.0 in x 0.648 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.648 * [taylor]: Taking taylor expansion of x in x 0.655 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.655 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.655 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.655 * [taylor]: Taking taylor expansion of 1.0 in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.657 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.657 * [taylor]: Taking taylor expansion of 1.0 in x 0.657 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.657 * [taylor]: Taking taylor expansion of x in x 0.664 * * * [progress]: simplifying candidates 0.666 * [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))))) 0.672 * * [simplify]: iteration 0 : 409 enodes (cost 789 ) 0.680 * * [simplify]: iteration 1 : 1675 enodes (cost 716 ) 0.710 * * [simplify]: iteration 2 : 5001 enodes (cost 675 ) 0.713 * [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))))) 0.714 * * * [progress]: adding candidates to table 0.930 * * [progress]: iteration 3 / 4 0.931 * * * [progress]: picking best candidate 0.945 * * * * [pick]: Picked # 0.945 * * * [progress]: localizing error 0.954 * * * [progress]: generating rewritten candidates 0.954 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.965 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.966 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.970 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.977 * * * [progress]: generating series expansions 0.977 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.977 * [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 0.977 * [taylor]: Taking taylor expansion of (/ 1.0 (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x))) in x 0.978 * [taylor]: Taking taylor expansion of 1.0 in x 0.978 * [taylor]: Taking taylor expansion of (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x)) in x 0.978 * [taylor]: Rewrote expression to (+ (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) (sqrt x)) 0.978 * [taylor]: Taking taylor expansion of (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) in x 0.978 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 0.978 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 0.978 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 0.978 * [taylor]: Taking taylor expansion of 1/4 in x 0.978 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.978 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of 1.0 in x 0.980 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 0.980 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 0.980 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 0.980 * [taylor]: Taking taylor expansion of 1/4 in x 0.980 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.980 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.980 * [taylor]: Taking taylor expansion of x in x 0.980 * [taylor]: Taking taylor expansion of 1.0 in x 0.982 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.982 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (/ 1.0 (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x))) in x 0.985 * [taylor]: Taking taylor expansion of 1.0 in x 0.985 * [taylor]: Taking taylor expansion of (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x)) in x 0.985 * [taylor]: Rewrote expression to (+ (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) (sqrt x)) 0.985 * [taylor]: Taking taylor expansion of (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) in x 0.985 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 0.985 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 0.985 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 0.985 * [taylor]: Taking taylor expansion of 1/4 in x 0.985 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.986 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of 1.0 in x 0.988 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 0.988 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 0.988 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 0.988 * [taylor]: Taking taylor expansion of 1/4 in x 0.988 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.988 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [taylor]: Taking taylor expansion of 1.0 in x 0.990 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.990 * [taylor]: Taking taylor expansion of x in x 1.135 * [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 1.135 * [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 1.135 * [taylor]: Taking taylor expansion of 1.0 in x 1.135 * [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 1.135 * [taylor]: Rewrote expression to (+ (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) (sqrt (/ 1 x))) 1.135 * [taylor]: Taking taylor expansion of (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) in x 1.135 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.135 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.135 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.135 * [taylor]: Taking taylor expansion of 1/4 in x 1.135 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.135 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.135 * [taylor]: Taking taylor expansion of 1.0 in x 1.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.135 * [taylor]: Taking taylor expansion of x in x 1.136 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.136 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.136 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.136 * [taylor]: Taking taylor expansion of 1/4 in x 1.136 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.136 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.136 * [taylor]: Taking taylor expansion of 1.0 in x 1.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.138 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.138 * [taylor]: Taking taylor expansion of x in x 1.139 * [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 1.139 * [taylor]: Taking taylor expansion of 1.0 in x 1.139 * [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 1.140 * [taylor]: Rewrote expression to (+ (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) (sqrt (/ 1 x))) 1.140 * [taylor]: Taking taylor expansion of (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) in x 1.140 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.140 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.140 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.140 * [taylor]: Taking taylor expansion of 1/4 in x 1.140 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.140 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.140 * [taylor]: Taking taylor expansion of 1.0 in x 1.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.141 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.141 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.141 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.141 * [taylor]: Taking taylor expansion of 1/4 in x 1.141 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.141 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.141 * [taylor]: Taking taylor expansion of 1.0 in x 1.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.141 * [taylor]: Taking taylor expansion of x in x 1.142 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.142 * [taylor]: Taking taylor expansion of x in x 1.189 * [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 1.189 * [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 1.189 * [taylor]: Taking taylor expansion of 1.0 in x 1.189 * [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 1.189 * [taylor]: Rewrote expression to (+ (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) (sqrt (/ -1 x))) 1.189 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) in x 1.190 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.190 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.190 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.190 * [taylor]: Taking taylor expansion of 1/4 in x 1.190 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.190 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.190 * [taylor]: Taking taylor expansion of 1.0 in x 1.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.190 * [taylor]: Taking taylor expansion of x in x 1.192 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.192 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.192 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.192 * [taylor]: Taking taylor expansion of 1/4 in x 1.192 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.192 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.192 * [taylor]: Taking taylor expansion of 1.0 in x 1.192 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.192 * [taylor]: Taking taylor expansion of x in x 1.194 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.194 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.194 * [taylor]: Taking taylor expansion of -1 in x 1.194 * [taylor]: Taking taylor expansion of x in x 1.197 * [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 1.197 * [taylor]: Taking taylor expansion of 1.0 in x 1.197 * [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 1.197 * [taylor]: Rewrote expression to (+ (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) (sqrt (/ -1 x))) 1.197 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) in x 1.197 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.197 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.197 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.197 * [taylor]: Taking taylor expansion of 1/4 in x 1.197 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.197 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.197 * [taylor]: Taking taylor expansion of 1.0 in x 1.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.198 * [taylor]: Taking taylor expansion of x in x 1.199 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.200 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.200 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.200 * [taylor]: Taking taylor expansion of 1/4 in x 1.200 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.200 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.200 * [taylor]: Taking taylor expansion of 1.0 in x 1.200 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.200 * [taylor]: Taking taylor expansion of x in x 1.202 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.202 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.202 * [taylor]: Taking taylor expansion of -1 in x 1.202 * [taylor]: Taking taylor expansion of x in x 1.277 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.278 * [approximate]: Taking taylor expansion of (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x)) in (x) around 0 1.278 * [taylor]: Taking taylor expansion of (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x)) in x 1.278 * [taylor]: Rewrote expression to (+ (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) (sqrt x)) 1.278 * [taylor]: Taking taylor expansion of (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) in x 1.278 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.278 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.278 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.278 * [taylor]: Taking taylor expansion of 1/4 in x 1.278 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.278 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.278 * [taylor]: Taking taylor expansion of x in x 1.278 * [taylor]: Taking taylor expansion of 1.0 in x 1.280 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.280 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.280 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.280 * [taylor]: Taking taylor expansion of 1/4 in x 1.280 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.280 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.280 * [taylor]: Taking taylor expansion of x in x 1.280 * [taylor]: Taking taylor expansion of 1.0 in x 1.282 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.282 * [taylor]: Taking taylor expansion of x in x 1.283 * [taylor]: Taking taylor expansion of (fma (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4) (sqrt x)) in x 1.283 * [taylor]: Rewrote expression to (+ (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) (sqrt x)) 1.283 * [taylor]: Taking taylor expansion of (* (pow (+ x 1.0) 1/4) (pow (+ x 1.0) 1/4)) in x 1.283 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.283 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.283 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.283 * [taylor]: Taking taylor expansion of 1/4 in x 1.283 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.283 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.283 * [taylor]: Taking taylor expansion of x in x 1.283 * [taylor]: Taking taylor expansion of 1.0 in x 1.285 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.285 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.285 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.285 * [taylor]: Taking taylor expansion of 1/4 in x 1.285 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.285 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of 1.0 in x 1.287 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.287 * [taylor]: Taking taylor expansion of x in x 1.375 * [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 1.376 * [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 1.376 * [taylor]: Rewrote expression to (+ (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) (sqrt (/ 1 x))) 1.376 * [taylor]: Taking taylor expansion of (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) in x 1.376 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.376 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.376 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.376 * [taylor]: Taking taylor expansion of 1/4 in x 1.376 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.376 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.376 * [taylor]: Taking taylor expansion of 1.0 in x 1.376 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.376 * [taylor]: Taking taylor expansion of x in x 1.377 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.377 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.377 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.377 * [taylor]: Taking taylor expansion of 1/4 in x 1.377 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.377 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.377 * [taylor]: Taking taylor expansion of 1.0 in x 1.378 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.378 * [taylor]: Taking taylor expansion of x in x 1.379 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.379 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.379 * [taylor]: Taking taylor expansion of x in x 1.380 * [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 1.381 * [taylor]: Rewrote expression to (+ (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) (sqrt (/ 1 x))) 1.381 * [taylor]: Taking taylor expansion of (* (pow (+ 1.0 (/ 1 x)) 1/4) (pow (+ 1.0 (/ 1 x)) 1/4)) in x 1.381 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.381 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.381 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.381 * [taylor]: Taking taylor expansion of 1/4 in x 1.381 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.381 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.381 * [taylor]: Taking taylor expansion of 1.0 in x 1.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.381 * [taylor]: Taking taylor expansion of x in x 1.382 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.382 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.382 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.382 * [taylor]: Taking taylor expansion of 1/4 in x 1.382 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.382 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.382 * [taylor]: Taking taylor expansion of 1.0 in x 1.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.382 * [taylor]: Taking taylor expansion of x in x 1.390 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.390 * [taylor]: Taking taylor expansion of x in x 1.433 * [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 1.433 * [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 1.433 * [taylor]: Rewrote expression to (+ (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) (sqrt (/ -1 x))) 1.434 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) in x 1.434 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.434 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.434 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.434 * [taylor]: Taking taylor expansion of 1/4 in x 1.434 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.434 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.434 * [taylor]: Taking taylor expansion of 1.0 in x 1.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.434 * [taylor]: Taking taylor expansion of x in x 1.436 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.436 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.436 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.436 * [taylor]: Taking taylor expansion of 1/4 in x 1.436 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.436 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.436 * [taylor]: Taking taylor expansion of 1.0 in x 1.436 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.436 * [taylor]: Taking taylor expansion of x in x 1.438 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.438 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.438 * [taylor]: Taking taylor expansion of -1 in x 1.438 * [taylor]: Taking taylor expansion of x in x 1.439 * [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 1.439 * [taylor]: Rewrote expression to (+ (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) (sqrt (/ -1 x))) 1.439 * [taylor]: Taking taylor expansion of (* (pow (- 1.0 (/ 1 x)) 1/4) (pow (- 1.0 (/ 1 x)) 1/4)) in x 1.439 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.439 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.439 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.439 * [taylor]: Taking taylor expansion of 1/4 in x 1.439 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.440 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.440 * [taylor]: Taking taylor expansion of 1.0 in x 1.440 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.440 * [taylor]: Taking taylor expansion of x in x 1.442 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.442 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.442 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.442 * [taylor]: Taking taylor expansion of 1/4 in x 1.442 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.442 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.442 * [taylor]: Taking taylor expansion of 1.0 in x 1.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.442 * [taylor]: Taking taylor expansion of x in x 1.444 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.444 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.444 * [taylor]: Taking taylor expansion of -1 in x 1.444 * [taylor]: Taking taylor expansion of x in x 1.505 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 1.505 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 1.505 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.505 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.505 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.505 * [taylor]: Taking taylor expansion of 1/4 in x 1.505 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.505 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.505 * [taylor]: Taking taylor expansion of x in x 1.505 * [taylor]: Taking taylor expansion of 1.0 in x 1.507 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.507 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.507 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.507 * [taylor]: Taking taylor expansion of 1/4 in x 1.507 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.507 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.507 * [taylor]: Taking taylor expansion of x in x 1.507 * [taylor]: Taking taylor expansion of 1.0 in x 1.541 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 1.541 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.541 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.541 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.541 * [taylor]: Taking taylor expansion of 1/4 in x 1.541 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.541 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.541 * [taylor]: Taking taylor expansion of 1.0 in x 1.541 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.541 * [taylor]: Taking taylor expansion of x in x 1.542 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.542 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.542 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.542 * [taylor]: Taking taylor expansion of 1/4 in x 1.542 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.542 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.542 * [taylor]: Taking taylor expansion of 1.0 in x 1.542 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.542 * [taylor]: Taking taylor expansion of x in x 1.567 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 1.567 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.567 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.567 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.567 * [taylor]: Taking taylor expansion of 1/4 in x 1.567 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.567 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.567 * [taylor]: Taking taylor expansion of 1.0 in x 1.567 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.567 * [taylor]: Taking taylor expansion of x in x 1.569 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.569 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.569 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.569 * [taylor]: Taking taylor expansion of 1/4 in x 1.569 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.569 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.569 * [taylor]: Taking taylor expansion of 1.0 in x 1.569 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.569 * [taylor]: Taking taylor expansion of x in x 1.594 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.594 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in (x) around 0 1.594 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.594 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.594 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.594 * [taylor]: Taking taylor expansion of 1/4 in x 1.594 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.594 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.594 * [taylor]: Taking taylor expansion of x in x 1.594 * [taylor]: Taking taylor expansion of 1.0 in x 1.596 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/4) in x 1.596 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ x 1.0)))) in x 1.596 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ x 1.0))) in x 1.596 * [taylor]: Taking taylor expansion of 1/4 in x 1.596 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.596 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.597 * [taylor]: Taking taylor expansion of 1.0 in x 1.629 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in (x) around 0 1.629 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.629 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.629 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.629 * [taylor]: Taking taylor expansion of 1/4 in x 1.629 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.629 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.629 * [taylor]: Taking taylor expansion of 1.0 in x 1.629 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.629 * [taylor]: Taking taylor expansion of x in x 1.630 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/4) in x 1.630 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ 1.0 (/ 1 x))))) in x 1.630 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ 1.0 (/ 1 x)))) in x 1.630 * [taylor]: Taking taylor expansion of 1/4 in x 1.630 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.630 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.630 * [taylor]: Taking taylor expansion of 1.0 in x 1.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.630 * [taylor]: Taking taylor expansion of x in x 1.655 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in (x) around 0 1.655 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.655 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.655 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.655 * [taylor]: Taking taylor expansion of 1/4 in x 1.655 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.656 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.656 * [taylor]: Taking taylor expansion of 1.0 in x 1.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.658 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/4) in x 1.658 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- 1.0 (/ 1 x))))) in x 1.659 * [taylor]: Taking taylor expansion of (* 1/4 (log (- 1.0 (/ 1 x)))) in x 1.659 * [taylor]: Taking taylor expansion of 1/4 in x 1.659 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.659 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.659 * [taylor]: Taking taylor expansion of 1.0 in x 1.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.659 * [taylor]: Taking taylor expansion of x in x 1.682 * * * [progress]: simplifying candidates 1.684 * [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))))) 1.764 * * * [progress]: adding candidates to table 2.120 * * [progress]: iteration 4 / 4 2.120 * * * [progress]: picking best candidate 2.133 * * * * [pick]: Picked # 2.134 * * * [progress]: localizing error 2.144 * * * [progress]: generating rewritten candidates 2.144 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.222 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.254 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.277 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 2.348 * * * [progress]: generating series expansions 2.348 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.349 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.349 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.349 * [taylor]: Taking taylor expansion of 1.0 in x 2.349 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.349 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.349 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.349 * [taylor]: Taking taylor expansion of x in x 2.349 * [taylor]: Taking taylor expansion of 1.0 in x 2.351 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.351 * [taylor]: Taking taylor expansion of x in x 2.363 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.363 * [taylor]: Taking taylor expansion of 1.0 in x 2.363 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.363 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.363 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.363 * [taylor]: Taking taylor expansion of x in x 2.363 * [taylor]: Taking taylor expansion of 1.0 in x 2.365 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.365 * [taylor]: Taking taylor expansion of x in x 2.446 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.446 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.446 * [taylor]: Taking taylor expansion of 1.0 in x 2.446 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.446 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.446 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.446 * [taylor]: Taking taylor expansion of x in x 2.448 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.448 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.448 * [taylor]: Taking taylor expansion of 1.0 in x 2.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.448 * [taylor]: Taking taylor expansion of x in x 2.450 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.450 * [taylor]: Taking taylor expansion of 1.0 in x 2.450 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.450 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.450 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.450 * [taylor]: Taking taylor expansion of x in x 2.451 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.452 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.452 * [taylor]: Taking taylor expansion of 1.0 in x 2.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.452 * [taylor]: Taking taylor expansion of x in x 2.472 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.472 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.472 * [taylor]: Taking taylor expansion of 1.0 in x 2.472 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.472 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.472 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.472 * [taylor]: Taking taylor expansion of -1 in x 2.472 * [taylor]: Taking taylor expansion of x in x 2.474 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.474 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.474 * [taylor]: Taking taylor expansion of 1.0 in x 2.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.474 * [taylor]: Taking taylor expansion of x in x 2.476 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.476 * [taylor]: Taking taylor expansion of 1.0 in x 2.476 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.476 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.476 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.476 * [taylor]: Taking taylor expansion of -1 in x 2.476 * [taylor]: Taking taylor expansion of x in x 2.478 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.478 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.478 * [taylor]: Taking taylor expansion of 1.0 in x 2.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.478 * [taylor]: Taking taylor expansion of x in x 2.498 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.499 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 2.499 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.499 * [taylor]: Taking taylor expansion of 1.0 in x 2.499 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.499 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.499 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.499 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.499 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.499 * [taylor]: Taking taylor expansion of x in x 2.499 * [taylor]: Taking taylor expansion of 1.0 in x 2.500 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.501 * [taylor]: Taking taylor expansion of x in x 2.517 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.517 * [taylor]: Taking taylor expansion of 1.0 in x 2.517 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.517 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.517 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.517 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.518 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.518 * [taylor]: Taking taylor expansion of x in x 2.518 * [taylor]: Taking taylor expansion of 1.0 in x 2.519 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.519 * [taylor]: Taking taylor expansion of x in x 2.705 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 2.706 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 2.706 * [taylor]: Taking taylor expansion of 1.0 in x 2.706 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.706 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.706 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.706 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.706 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.706 * [taylor]: Taking taylor expansion of x in x 2.707 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.707 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.707 * [taylor]: Taking taylor expansion of 1.0 in x 2.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.707 * [taylor]: Taking taylor expansion of x in x 2.718 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 2.718 * [taylor]: Taking taylor expansion of 1.0 in x 2.718 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.718 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.718 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.718 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.718 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.718 * [taylor]: Taking taylor expansion of x in x 2.719 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.719 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.719 * [taylor]: Taking taylor expansion of 1.0 in x 2.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.719 * [taylor]: Taking taylor expansion of x in x 2.765 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 2.765 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 2.765 * [taylor]: Taking taylor expansion of 1.0 in x 2.765 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.765 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.765 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.765 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.765 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.765 * [taylor]: Taking taylor expansion of -1 in x 2.765 * [taylor]: Taking taylor expansion of x in x 2.767 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.767 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.767 * [taylor]: Taking taylor expansion of 1.0 in x 2.767 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.767 * [taylor]: Taking taylor expansion of x in x 2.786 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 2.786 * [taylor]: Taking taylor expansion of 1.0 in x 2.786 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.786 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.786 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.786 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.786 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.786 * [taylor]: Taking taylor expansion of -1 in x 2.786 * [taylor]: Taking taylor expansion of x in x 2.787 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.787 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.787 * [taylor]: Taking taylor expansion of 1.0 in x 2.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.787 * [taylor]: Taking taylor expansion of x in x 2.835 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.835 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.836 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.836 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.836 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.836 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.836 * [taylor]: Taking taylor expansion of x in x 2.836 * [taylor]: Taking taylor expansion of 1.0 in x 2.838 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.838 * [taylor]: Taking taylor expansion of x in x 2.844 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.844 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.844 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.844 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.844 * [taylor]: Taking taylor expansion of x in x 2.844 * [taylor]: Taking taylor expansion of 1.0 in x 2.846 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.846 * [taylor]: Taking taylor expansion of x in x 2.914 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.915 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.915 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.915 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.915 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.915 * [taylor]: Taking taylor expansion of x in x 2.916 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.916 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.916 * [taylor]: Taking taylor expansion of 1.0 in x 2.916 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.916 * [taylor]: Taking taylor expansion of x in x 2.925 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.925 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.925 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.925 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.925 * [taylor]: Taking taylor expansion of x in x 2.926 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.926 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.926 * [taylor]: Taking taylor expansion of 1.0 in x 2.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.926 * [taylor]: Taking taylor expansion of x in x 2.962 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.962 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.962 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.962 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.962 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.962 * [taylor]: Taking taylor expansion of -1 in x 2.962 * [taylor]: Taking taylor expansion of x in x 2.964 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.964 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.964 * [taylor]: Taking taylor expansion of 1.0 in x 2.964 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.964 * [taylor]: Taking taylor expansion of x in x 2.973 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.973 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.973 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.973 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.973 * [taylor]: Taking taylor expansion of -1 in x 2.973 * [taylor]: Taking taylor expansion of x in x 2.974 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.974 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.974 * [taylor]: Taking taylor expansion of 1.0 in x 2.974 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.974 * [taylor]: Taking taylor expansion of x in x 3.003 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 3.004 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 3.005 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.005 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.005 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.005 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.005 * [taylor]: Taking taylor expansion of x in x 3.005 * [taylor]: Taking taylor expansion of 1.0 in x 3.007 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.007 * [taylor]: Taking taylor expansion of x in x 3.013 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 3.013 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 3.013 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.013 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.013 * [taylor]: Taking taylor expansion of x in x 3.013 * [taylor]: Taking taylor expansion of 1.0 in x 3.015 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.015 * [taylor]: Taking taylor expansion of x in x 3.081 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 3.081 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.081 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.081 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.081 * [taylor]: Taking taylor expansion of x in x 3.082 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.082 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.082 * [taylor]: Taking taylor expansion of 1.0 in x 3.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.083 * [taylor]: Taking taylor expansion of x in x 3.091 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 3.091 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 3.091 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.091 * [taylor]: Taking taylor expansion of x in x 3.092 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.092 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.092 * [taylor]: Taking taylor expansion of 1.0 in x 3.092 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.092 * [taylor]: Taking taylor expansion of x in x 3.128 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 3.128 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.128 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.128 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.128 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.128 * [taylor]: Taking taylor expansion of -1 in x 3.128 * [taylor]: Taking taylor expansion of x in x 3.130 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.130 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.130 * [taylor]: Taking taylor expansion of 1.0 in x 3.130 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.130 * [taylor]: Taking taylor expansion of x in x 3.139 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 3.139 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 3.139 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.139 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.139 * [taylor]: Taking taylor expansion of -1 in x 3.139 * [taylor]: Taking taylor expansion of x in x 3.140 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.140 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.140 * [taylor]: Taking taylor expansion of 1.0 in x 3.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.140 * [taylor]: Taking taylor expansion of x in x 3.169 * * * [progress]: simplifying candidates 3.181 * [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)))))) 3.335 * * * [progress]: adding candidates to table 3.999 * [progress]: [Phase 3 of 3] Extracting. 3.999 * * [regime]: Finding splitpoints for: (# # # # # # #) 4.002 * * * [regime-changes]: Trying 1 branch expressions: (x) 4.002 * * * * [regimes]: Trying to branch on x from (# # # # # # #) 4.036 * * * [regime]: Found split indices: #