24.571 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.043 * * * [progress]: [2/2] Setting up program. 0.045 * [progress]: [Phase 2 of 3] Improving. 0.045 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.048 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.049 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.051 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.051 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.051 * * [progress]: iteration 1 / 4 0.051 * * * [progress]: picking best candidate 0.053 * * * * [pick]: Picked # 0.053 * * * [progress]: localizing error 0.058 * * * [progress]: generating rewritten candidates 0.058 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.085 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.092 * * * [progress]: generating series expansions 0.092 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.093 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.093 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.093 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.093 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of 1.0 in x 0.095 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.095 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.096 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.096 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.096 * [taylor]: Taking taylor expansion of 1.0 in x 0.098 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.121 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.121 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.121 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.121 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.121 * [taylor]: Taking taylor expansion of 1.0 in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) 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 (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.124 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.124 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.124 * [taylor]: Taking taylor expansion of 1.0 in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.141 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.141 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.141 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.141 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of 1.0 in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.143 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.143 * [taylor]: Taking taylor expansion of -1 in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.144 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.144 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.144 * [taylor]: Taking taylor expansion of 1.0 in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.146 * [taylor]: Taking taylor expansion of -1 in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.162 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.162 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.162 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.162 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of 1.0 in x 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.164 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [taylor]: Taking taylor expansion of 1.0 in x 0.173 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.173 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.173 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.173 * [taylor]: Taking taylor expansion of 1.0 in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.175 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.175 * [taylor]: Taking taylor expansion of 1.0 in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.182 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.182 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.182 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.182 * [taylor]: Taking taylor expansion of 1.0 in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.183 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.184 * [taylor]: Taking taylor expansion of 1.0 in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.194 * * * [progress]: simplifying candidates 0.196 * [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))))) 0.203 * * [simplify]: iteration 0 : 299 enodes (cost 1161 ) 0.208 * * [simplify]: iteration 1 : 921 enodes (cost 822 ) 0.232 * * [simplify]: iteration 2 : 5001 enodes (cost 744 ) 0.236 * [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))))) 0.237 * * * [progress]: adding candidates to table 0.362 * * [progress]: iteration 2 / 4 0.363 * * * [progress]: picking best candidate 0.370 * * * * [pick]: Picked # 0.370 * * * [progress]: localizing error 0.377 * * * [progress]: generating rewritten candidates 0.377 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.410 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.428 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.436 * * * [progress]: generating series expansions 0.436 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.436 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.436 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.436 * [taylor]: Taking taylor expansion of 1.0 in x 0.437 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.437 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.437 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of 1.0 in x 0.438 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.441 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.441 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.441 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of 1.0 in x 0.443 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.520 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 0.520 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.520 * [taylor]: Taking taylor expansion of 1.0 in x 0.520 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.520 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.520 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.520 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.522 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.522 * [taylor]: Taking taylor expansion of 1.0 in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 0.524 * [taylor]: Taking taylor expansion of 1.0 in x 0.524 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.524 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.526 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.526 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.526 * [taylor]: Taking taylor expansion of 1.0 in x 0.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.526 * [taylor]: Taking taylor expansion of x in x 0.546 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 0.546 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.546 * [taylor]: Taking taylor expansion of 1.0 in x 0.546 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.547 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.547 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.547 * [taylor]: Taking taylor expansion of -1 in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.548 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.548 * [taylor]: Taking taylor expansion of 1.0 in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 0.551 * [taylor]: Taking taylor expansion of 1.0 in x 0.551 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.551 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.551 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.551 * [taylor]: Taking taylor expansion of -1 in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.552 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.552 * [taylor]: Taking taylor expansion of 1.0 in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.577 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.577 * [approximate]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.577 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.577 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.577 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of 1.0 in x 0.579 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.580 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.580 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.580 * [taylor]: Taking taylor expansion of x in x 0.580 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.601 * [approximate]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in (x) around 0 0.601 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.601 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.601 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.601 * [taylor]: Taking taylor expansion of x in x 0.602 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.602 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.602 * [taylor]: Taking taylor expansion of 1.0 in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.604 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 0.604 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.605 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.605 * [taylor]: Taking taylor expansion of 1.0 in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.605 * [taylor]: Taking taylor expansion of x in x 0.619 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in (x) around 0 0.619 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.619 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.619 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.619 * [taylor]: Taking taylor expansion of -1 in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.621 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.621 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.621 * [taylor]: Taking taylor expansion of 1.0 in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.622 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.622 * [taylor]: Taking taylor expansion of -1 in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.624 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.624 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.624 * [taylor]: Taking taylor expansion of 1.0 in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.642 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.642 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 0.642 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.642 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.642 * [taylor]: Taking taylor expansion of 1.0 in x 0.644 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.644 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of 1.0 in x 0.653 * [approximate]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in (x) around 0 0.653 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.653 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.653 * [taylor]: Taking taylor expansion of 1.0 in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.653 * [taylor]: Taking taylor expansion of x in x 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 0.662 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 0.662 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.662 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.662 * [taylor]: Taking taylor expansion of 1.0 in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.664 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.664 * [taylor]: Taking taylor expansion of 1.0 in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.672 * * * [progress]: simplifying candidates 0.673 * [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))))) 0.680 * * [simplify]: iteration 0 : 409 enodes (cost 789 ) 0.688 * * [simplify]: iteration 1 : 1675 enodes (cost 716 ) 0.719 * * [simplify]: iteration 2 : 5001 enodes (cost 675 ) 0.722 * [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))))) 0.723 * * * [progress]: adding candidates to table 0.924 * * [progress]: iteration 3 / 4 0.924 * * * [progress]: picking best candidate 0.941 * * * * [pick]: Picked # 0.942 * * * [progress]: localizing error 0.953 * * * [progress]: generating rewritten candidates 0.954 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.956 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 0.958 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 0.960 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.986 * * * [progress]: generating series expansions 0.986 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 0.986 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in (x) around 0 0.986 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 0.986 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 0.986 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 0.986 * [taylor]: Taking taylor expansion of 1/3 in x 0.986 * [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) 1/3) in x 0.988 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 0.989 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 0.989 * [taylor]: Taking taylor expansion of 1/3 in x 0.989 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.989 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of 1.0 in x 1.024 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in (x) around 0 1.024 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 1.024 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 1.024 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 1.024 * [taylor]: Taking taylor expansion of 1/3 in x 1.024 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.024 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.024 * [taylor]: Taking taylor expansion of 1.0 in x 1.024 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.024 * [taylor]: Taking taylor expansion of x in x 1.025 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 1.025 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 1.025 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 1.025 * [taylor]: Taking taylor expansion of 1/3 in x 1.025 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.025 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.025 * [taylor]: Taking taylor expansion of 1.0 in x 1.025 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.025 * [taylor]: Taking taylor expansion of x in x 1.044 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in (x) around 0 1.044 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 1.044 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 1.044 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 1.044 * [taylor]: Taking taylor expansion of 1/3 in x 1.044 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.044 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.044 * [taylor]: Taking taylor expansion of 1.0 in x 1.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.044 * [taylor]: Taking taylor expansion of x in x 1.051 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 1.051 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 1.051 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 1.051 * [taylor]: Taking taylor expansion of 1/3 in x 1.051 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.051 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.051 * [taylor]: Taking taylor expansion of 1.0 in x 1.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.051 * [taylor]: Taking taylor expansion of x in x 1.076 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 1.076 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in (x) around 0 1.076 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 1.076 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 1.076 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 1.076 * [taylor]: Taking taylor expansion of 1/3 in x 1.076 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.076 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.076 * [taylor]: Taking taylor expansion of x in x 1.076 * [taylor]: Taking taylor expansion of 1.0 in x 1.078 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 1.078 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 1.078 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 1.078 * [taylor]: Taking taylor expansion of 1/3 in x 1.078 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.078 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.078 * [taylor]: Taking taylor expansion of x in x 1.078 * [taylor]: Taking taylor expansion of 1.0 in x 1.112 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in (x) around 0 1.112 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 1.112 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 1.112 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 1.112 * [taylor]: Taking taylor expansion of 1/3 in x 1.112 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.112 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.112 * [taylor]: Taking taylor expansion of 1.0 in x 1.112 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.113 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 1.113 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 1.113 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 1.113 * [taylor]: Taking taylor expansion of 1/3 in x 1.113 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.113 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.113 * [taylor]: Taking taylor expansion of 1.0 in x 1.113 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.113 * [taylor]: Taking taylor expansion of x in x 1.136 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in (x) around 0 1.136 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 1.136 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 1.136 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 1.136 * [taylor]: Taking taylor expansion of 1/3 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 (pow (- 1.0 (/ 1 x)) 1/3) in x 1.138 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 1.139 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 1.139 * [taylor]: Taking taylor expansion of 1/3 in x 1.139 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.139 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.139 * [taylor]: Taking taylor expansion of 1.0 in x 1.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.139 * [taylor]: Taking taylor expansion of x in x 1.164 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 1.164 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in (x) around 0 1.164 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 1.164 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 1.164 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 1.164 * [taylor]: Taking taylor expansion of 1/3 in x 1.164 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.164 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.164 * [taylor]: Taking taylor expansion of x in x 1.164 * [taylor]: Taking taylor expansion of 1.0 in x 1.166 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 1.166 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 1.166 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 1.166 * [taylor]: Taking taylor expansion of 1/3 in x 1.166 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.166 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.166 * [taylor]: Taking taylor expansion of x in x 1.166 * [taylor]: Taking taylor expansion of 1.0 in x 1.200 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in (x) around 0 1.200 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 1.200 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 1.200 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 1.200 * [taylor]: Taking taylor expansion of 1/3 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 1.201 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 1.201 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 1.201 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 1.201 * [taylor]: Taking taylor expansion of 1/3 in x 1.201 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.201 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.201 * [taylor]: Taking taylor expansion of 1.0 in x 1.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.201 * [taylor]: Taking taylor expansion of x in x 1.224 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in (x) around 0 1.224 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 1.224 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 1.224 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 1.224 * [taylor]: Taking taylor expansion of 1/3 in x 1.224 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.224 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.224 * [taylor]: Taking taylor expansion of 1.0 in x 1.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.226 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 1.226 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 1.226 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 1.226 * [taylor]: Taking taylor expansion of 1/3 in x 1.226 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.226 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.226 * [taylor]: Taking taylor expansion of 1.0 in x 1.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.250 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.250 * [approximate]: Taking taylor expansion of (pow (pow (+ x 1.0) 2) 1/3) in (x) around 0 1.250 * [taylor]: Taking taylor expansion of (pow (pow (+ x 1.0) 2) 1/3) in x 1.250 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ x 1.0) 2)))) in x 1.250 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ x 1.0) 2))) in x 1.250 * [taylor]: Taking taylor expansion of 1/3 in x 1.250 * [taylor]: Taking taylor expansion of (log (pow (+ x 1.0) 2)) in x 1.250 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 1.251 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.251 * [taylor]: Taking taylor expansion of 1.0 in x 1.253 * [taylor]: Taking taylor expansion of (pow (pow (+ x 1.0) 2) 1/3) in x 1.253 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ x 1.0) 2)))) in x 1.253 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ x 1.0) 2))) in x 1.253 * [taylor]: Taking taylor expansion of 1/3 in x 1.253 * [taylor]: Taking taylor expansion of (log (pow (+ x 1.0) 2)) in x 1.253 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 1.253 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.253 * [taylor]: Taking taylor expansion of x in x 1.253 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * [approximate]: Taking taylor expansion of (pow (pow (+ 1.0 (/ 1 x)) 2) 1/3) in (x) around 0 1.294 * [taylor]: Taking taylor expansion of (pow (pow (+ 1.0 (/ 1 x)) 2) 1/3) in x 1.294 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ 1.0 (/ 1 x)) 2)))) in x 1.294 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ 1.0 (/ 1 x)) 2))) in x 1.294 * [taylor]: Taking taylor expansion of 1/3 in x 1.294 * [taylor]: Taking taylor expansion of (log (pow (+ 1.0 (/ 1 x)) 2)) in x 1.294 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 2) in x 1.294 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.294 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.294 * [taylor]: Taking taylor expansion of x in x 1.296 * [taylor]: Taking taylor expansion of (pow (pow (+ 1.0 (/ 1 x)) 2) 1/3) in x 1.296 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ 1.0 (/ 1 x)) 2)))) in x 1.296 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ 1.0 (/ 1 x)) 2))) in x 1.296 * [taylor]: Taking taylor expansion of 1/3 in x 1.296 * [taylor]: Taking taylor expansion of (log (pow (+ 1.0 (/ 1 x)) 2)) in x 1.296 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 2) in x 1.296 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.296 * [taylor]: Taking taylor expansion of 1.0 in x 1.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.323 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 x)) 2) 1/3) in (x) around 0 1.323 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 x)) 2) 1/3) in x 1.323 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 x)) 2)))) in x 1.323 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 x)) 2))) in x 1.323 * [taylor]: Taking taylor expansion of 1/3 in x 1.323 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 x)) 2)) in x 1.323 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 1.323 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.323 * [taylor]: Taking taylor expansion of 1.0 in x 1.323 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.323 * [taylor]: Taking taylor expansion of x in x 1.325 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 x)) 2) 1/3) in x 1.325 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 x)) 2)))) in x 1.325 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 x)) 2))) in x 1.325 * [taylor]: Taking taylor expansion of 1/3 in x 1.325 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 x)) 2)) in x 1.325 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 1.325 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.325 * [taylor]: Taking taylor expansion of 1.0 in x 1.325 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.325 * [taylor]: Taking taylor expansion of x in x 1.352 * * * [progress]: simplifying candidates 1.353 * [simplify]: Simplifying using # : (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt 1) (cbrt (+ x 1.0)) (cbrt 1) (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (* (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt 1) (cbrt (+ x 1.0)) (cbrt 1) (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (* (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt 1) (cbrt (+ x 1.0)) (cbrt 1) (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (* (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (expm1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (log1p (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (+ 1/3 1/3) (+ 1 1) (* (+ x 1.0) (+ x 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ 1 1) (+ (log (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0)))) (log (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (exp (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (+ x 1.0) (+ x 1.0)) (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (* (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (* (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- x 1.0))) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (- x 1.0)) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (- x 1.0)) (cbrt (- x 1.0))) (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0))))) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* 1 1) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* 2 1/3) (* 2 1) (* (cbrt (+ x 1.0)) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (cbrt (+ x 1.0)) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (+ x 1.0)) (cbrt 1)) (* (cbrt (+ x 1.0)) (cbrt 1)) (* (cbrt (+ x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0))))) (* (cbrt (+ x 1.0)) (sqrt (cbrt (+ x 1.0)))) (* (cbrt (+ x 1.0)) 1) (* (cbrt (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (* (sqrt (cbrt (+ x 1.0))) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (* (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (+ x 1.0)) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ x 1.0))) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (+ x 1.0))) (- (+ (* 0.05555555555555555 (* (pow x 2) (pow 1.0 1/3))) (+ (* 0.3333333333333333 (* x (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (* 0.3333333333333333 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))) (- (+ (* 0.05555555555555555 (* (pow x 2) (pow 1.0 1/3))) (+ (* 0.3333333333333333 (* x (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (* 0.3333333333333333 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))) (- (+ (* 0.05555555555555555 (* (pow x 2) (pow 1.0 1/3))) (+ (* 0.3333333333333333 (* x (pow 1.0 1/3))) (pow 1.0 1/3))) (* 1/6 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (* 0.3333333333333333 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3))) (- (+ (* 0.3333333333333333 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x)) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (* 0.1111111111111111 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))) (- (+ (* 0.5555555555555556 (* (pow x 2) (pow 1.0 1/3))) (+ (* 0.6666666666666666 (* x (pow 1.0 1/3))) (pow 1.0 1/3))) (* 0.6666666666666666 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3)))) (- (+ (* 0.6666666666666666 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 4)) 1/3))) (- (+ (* 0.6666666666666666 (pow (/ 1 x) 1/3)) (pow (/ -1 x) -2/3)) (* 0.1111111111111111 (pow (/ 1 (pow x 4)) 1/3))) 1.360 * * [simplify]: iteration 0 : 321 enodes (cost 818 ) 1.366 * * [simplify]: iteration 1 : 1064 enodes (cost 769 ) 1.392 * * [simplify]: iteration 2 : 4750 enodes (cost 694 ) 1.506 * * [simplify]: iteration 3 : 5001 enodes (cost 688 ) 1.510 * [simplify]: Simplified to: (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) 1 (cbrt (+ x 1.0)) 1 (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (+ x 1.0) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) 1 (cbrt (+ x 1.0)) 1 (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (+ x 1.0) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (expm1 (cbrt (+ x 1.0))) (log1p (cbrt (+ x 1.0))) (log (cbrt (+ x 1.0))) (exp (cbrt (+ x 1.0))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0))) 1 (cbrt (+ x 1.0)) 1 (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- x 1.0)) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (cbrt (+ x 1.0))) (+ x 1.0) (sqrt (cbrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0))) (expm1 (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (log1p (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) 2/3 2 (pow (cbrt (+ x 1.0)) 6) (pow (sqrt (cbrt (+ x 1.0))) 4) 2 (* 2 (log (cbrt (+ x 1.0)))) (* 2 (log (cbrt (+ x 1.0)))) (exp (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (pow (cbrt (+ x 1.0)) 6) (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (pow (cbrt (+ x 1.0)) 6) (fabs (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (* (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0))))) (* (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- x 1.0))) (* (cbrt (+ (pow x 3) (pow 1.0 3))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (cbrt (- x 1.0))) (* (cbrt (- (* x x) (* 1.0 1.0))) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (- x 1.0)) (cbrt (- x 1.0))) (* (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) 1 (pow (sqrt (cbrt (+ x 1.0))) 4) 1 (pow (sqrt (cbrt (+ x 1.0))) 4) 1 (pow (sqrt (cbrt (+ x 1.0))) 4) 1 (pow (sqrt (cbrt (+ x 1.0))) 4) (pow (cbrt (cbrt (+ x 1.0))) 4) (* (cbrt (cbrt (+ x 1.0))) (cbrt (cbrt (+ x 1.0)))) (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) 1 (pow (sqrt (cbrt (+ x 1.0))) 4) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (* (cbrt (sqrt (+ x 1.0))) (sqrt (cbrt (+ x 1.0)))) (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) 2/3 2 (* (cbrt (+ x 1.0)) (cbrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))))) (* (cbrt (+ x 1.0)) (cbrt (sqrt (+ x 1.0)))) (cbrt (+ x 1.0)) (cbrt (+ x 1.0)) (* (pow (cbrt (cbrt (+ x 1.0))) 4) (cbrt (cbrt (+ x 1.0)))) (pow (sqrt (cbrt (+ x 1.0))) 3) (cbrt (+ x 1.0)) (pow (cbrt (cbrt (+ x 1.0))) 4) (* (cbrt (+ x 1.0)) (cbrt (sqrt (+ x 1.0)))) (pow (sqrt (cbrt (+ x 1.0))) 4) (pow (sqrt (cbrt (+ x 1.0))) 4) (pow (cbrt (cbrt (+ x 1.0))) 4) (pow (sqrt (cbrt (+ x 1.0))) 3) (pow (sqrt (cbrt (+ x 1.0))) 4) (* (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (+ x 1.0)) (cbrt (- (* x x) (* 1.0 1.0)))) (* (cbrt (+ x 1.0)) (cbrt (+ (pow x 3) (pow 1.0 3)))) (* (cbrt (+ x 1.0)) (cbrt (- (* x x) (* 1.0 1.0)))) (fma (pow 1.0 1/3) (fma x 0.3333333333333333 1) (* (pow x 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6)))) (fma (pow (/ 1 (pow x 2)) 1/3) 0.3333333333333333 (- (pow (/ 1 x) -1/3) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3)))) (+ (* (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x) (- 0.3333333333333333 (/ 0.1111111111111111 x))) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (fma (pow 1.0 1/3) (fma x 0.3333333333333333 1) (* (pow x 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6)))) (fma (pow (/ 1 (pow x 2)) 1/3) 0.3333333333333333 (- (pow (/ 1 x) -1/3) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3)))) (+ (* (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x) (- 0.3333333333333333 (/ 0.1111111111111111 x))) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (fma (pow 1.0 1/3) (fma x 0.3333333333333333 1) (* (pow x 2) (- (* (pow 1.0 1/3) 0.05555555555555555) (* (pow (/ 1 (pow 1.0 5)) 1/3) 1/6)))) (fma (pow (/ 1 (pow x 2)) 1/3) 0.3333333333333333 (- (pow (/ 1 x) -1/3) (* 0.1111111111111111 (pow (/ 1 (pow x 5)) 1/3)))) (+ (* (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x) (- 0.3333333333333333 (/ 0.1111111111111111 x))) (exp (* 1/3 (- (log -1) (log (/ -1 x)))))) (fma (pow 1.0 1/3) (+ (* 0.5555555555555556 (pow x 2)) (* 0.6666666666666666 x)) (- (pow 1.0 1/3) (* 0.6666666666666666 (* (pow x 2) (pow (/ 1 (pow 1.0 5)) 1/3))))) (fma (pow (/ 1 x) 1/3) 0.6666666666666666 (- (pow (/ 1 x) -2/3) (* 0.1111111111111111 (pow (/ 1 (pow x 4)) 1/3)))) (fma (pow (/ 1 x) 1/3) 0.6666666666666666 (- (pow (/ -1 x) -2/3) (* 0.1111111111111111 (pow (/ 1 (pow x 4)) 1/3)))) 1.511 * * * [progress]: adding candidates to table 1.873 * * [progress]: iteration 4 / 4 1.873 * * * [progress]: picking best candidate 1.888 * * * * [pick]: Picked # 1.888 * * * [progress]: localizing error 1.898 * * * [progress]: generating rewritten candidates 1.898 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.981 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.015 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.039 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 2.113 * * * [progress]: generating series expansions 2.113 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.114 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.114 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.114 * [taylor]: Taking taylor expansion of 1.0 in x 2.114 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.114 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.114 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.114 * [taylor]: Taking taylor expansion of x in x 2.114 * [taylor]: Taking taylor expansion of 1.0 in x 2.116 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.116 * [taylor]: Taking taylor expansion of x in x 2.118 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.118 * [taylor]: Taking taylor expansion of 1.0 in x 2.118 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.118 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.118 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.118 * [taylor]: Taking taylor expansion of x in x 2.118 * [taylor]: Taking taylor expansion of 1.0 in x 2.120 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.120 * [taylor]: Taking taylor expansion of x in x 2.205 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.205 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.205 * [taylor]: Taking taylor expansion of 1.0 in x 2.205 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.205 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.205 * [taylor]: Taking taylor expansion of x in x 2.207 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.207 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.207 * [taylor]: Taking taylor expansion of 1.0 in x 2.207 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.207 * [taylor]: Taking taylor expansion of x in x 2.210 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.210 * [taylor]: Taking taylor expansion of 1.0 in x 2.210 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.210 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.210 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.210 * [taylor]: Taking taylor expansion of x in x 2.211 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.211 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.211 * [taylor]: Taking taylor expansion of 1.0 in x 2.211 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.211 * [taylor]: Taking taylor expansion of x in x 2.236 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.236 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.237 * [taylor]: Taking taylor expansion of 1.0 in x 2.237 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.237 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.237 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.237 * [taylor]: Taking taylor expansion of -1 in x 2.237 * [taylor]: Taking taylor expansion of x in x 2.238 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.238 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.238 * [taylor]: Taking taylor expansion of 1.0 in x 2.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.238 * [taylor]: Taking taylor expansion of x in x 2.241 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.241 * [taylor]: Taking taylor expansion of 1.0 in x 2.241 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.241 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.241 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.241 * [taylor]: Taking taylor expansion of -1 in x 2.241 * [taylor]: Taking taylor expansion of x in x 2.242 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.242 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.242 * [taylor]: Taking taylor expansion of 1.0 in x 2.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.242 * [taylor]: Taking taylor expansion of x in x 2.264 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.264 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in (x) around 0 2.264 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.264 * [taylor]: Taking taylor expansion of 1.0 in x 2.264 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.264 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.264 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.264 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.264 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.264 * [taylor]: Taking taylor expansion of x in x 2.264 * [taylor]: Taking taylor expansion of 1.0 in x 2.266 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.266 * [taylor]: Taking taylor expansion of x in x 2.284 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))))) in x 2.284 * [taylor]: Taking taylor expansion of 1.0 in x 2.284 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.284 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.284 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.284 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.284 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.284 * [taylor]: Taking taylor expansion of x in x 2.284 * [taylor]: Taking taylor expansion of 1.0 in x 2.286 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.286 * [taylor]: Taking taylor expansion of x in x 2.464 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in (x) around 0 2.464 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 2.464 * [taylor]: Taking taylor expansion of 1.0 in x 2.465 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.465 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.465 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.465 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.465 * [taylor]: Taking taylor expansion of x in x 2.466 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.466 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.466 * [taylor]: Taking taylor expansion of 1.0 in x 2.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.466 * [taylor]: Taking taylor expansion of x in x 2.477 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))))) in x 2.477 * [taylor]: Taking taylor expansion of 1.0 in x 2.477 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.477 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.477 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.477 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.477 * [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 2.525 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in (x) around 0 2.525 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 2.525 * [taylor]: Taking taylor expansion of 1.0 in x 2.525 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.525 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.525 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.525 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.525 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.525 * [taylor]: Taking taylor expansion of -1 in x 2.525 * [taylor]: Taking taylor expansion of x in x 2.526 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.526 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.526 * [taylor]: Taking taylor expansion of 1.0 in x 2.526 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.526 * [taylor]: Taking taylor expansion of x in x 2.537 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))))) in x 2.537 * [taylor]: Taking taylor expansion of 1.0 in x 2.537 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.537 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.537 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.537 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.537 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.537 * [taylor]: Taking taylor expansion of -1 in x 2.537 * [taylor]: Taking taylor expansion of x in x 2.539 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.539 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.539 * [taylor]: Taking taylor expansion of 1.0 in x 2.539 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.539 * [taylor]: Taking taylor expansion of x in x 2.589 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.589 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.589 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.589 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.589 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.589 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.589 * [taylor]: Taking taylor expansion of x in x 2.589 * [taylor]: Taking taylor expansion of 1.0 in x 2.591 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.591 * [taylor]: Taking taylor expansion of x in x 2.597 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.597 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.597 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.597 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.597 * [taylor]: Taking taylor expansion of x in x 2.598 * [taylor]: Taking taylor expansion of 1.0 in x 2.599 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.599 * [taylor]: Taking taylor expansion of x in x 2.663 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.664 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.664 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.664 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.664 * [taylor]: Taking taylor expansion of x in x 2.665 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.665 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.665 * [taylor]: Taking taylor expansion of 1.0 in x 2.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.665 * [taylor]: Taking taylor expansion of x in x 2.674 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.674 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.674 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.674 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.674 * [taylor]: Taking taylor expansion of x in x 2.676 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.676 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.676 * [taylor]: Taking taylor expansion of 1.0 in x 2.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.676 * [taylor]: Taking taylor expansion of x in x 2.703 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.703 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.703 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.703 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.703 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.704 * [taylor]: Taking taylor expansion of -1 in x 2.704 * [taylor]: Taking taylor expansion of x in x 2.705 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.705 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.705 * [taylor]: Taking taylor expansion of 1.0 in x 2.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.705 * [taylor]: Taking taylor expansion of x in x 2.718 * [taylor]: Taking taylor expansion of (sqrt (+ (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 -1 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 2.748 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.748 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.749 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.749 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.749 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.749 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.749 * [taylor]: Taking taylor expansion of x in x 2.749 * [taylor]: Taking taylor expansion of 1.0 in x 2.750 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.750 * [taylor]: Taking taylor expansion of x in x 2.756 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.756 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.756 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.756 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.756 * [taylor]: Taking taylor expansion of x in x 2.756 * [taylor]: Taking taylor expansion of 1.0 in x 2.758 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.758 * [taylor]: Taking taylor expansion of x in x 2.822 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.822 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.822 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.822 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.822 * [taylor]: Taking taylor expansion of x in x 2.823 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.824 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.824 * [taylor]: Taking taylor expansion of 1.0 in x 2.824 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.824 * [taylor]: Taking taylor expansion of x in x 2.833 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.833 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.833 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.833 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.833 * [taylor]: Taking taylor expansion of x in x 2.834 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.834 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.834 * [taylor]: Taking taylor expansion of 1.0 in x 2.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.834 * [taylor]: Taking taylor expansion of x in x 2.862 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.862 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.862 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.862 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.862 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.862 * [taylor]: Taking taylor expansion of -1 in x 2.862 * [taylor]: Taking taylor expansion of x in x 2.863 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.863 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.863 * [taylor]: Taking taylor expansion of 1.0 in x 2.863 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.863 * [taylor]: Taking taylor expansion of x in x 2.879 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.879 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.879 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.879 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.879 * [taylor]: Taking taylor expansion of -1 in x 2.879 * [taylor]: Taking taylor expansion of x in x 2.881 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.881 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.881 * [taylor]: Taking taylor expansion of 1.0 in x 2.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.881 * [taylor]: Taking taylor expansion of x in x 2.909 * * * [progress]: simplifying candidates 2.920 * [simplify]: Simplifying using # : (expm1 (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log1p (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (- (log (+ 1.0 0)) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (log (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (exp (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (* (* (+ 1.0 0) (+ 1.0 0)) (+ 1.0 0)) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (* (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (* (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (- (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt 1)) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (sqrt 1))) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (sqrt 1))) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt 1)) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (* (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) 1) (/ (cbrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (* (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (* (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))) (cbrt (+ (sqrt (+ x 1.0)) (sqrt x)))))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (cbrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt 1)) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt 1))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt 1))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt 1)) (/ (sqrt (/ (+ 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 (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) (/ (sqrt (/ (+ 1.0 0) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))) 1) (/ (sqrt (/ (+ 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(- (* +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)))))) 3.073 * * * [progress]: adding candidates to table 3.663 * [progress]: [Phase 3 of 3] Extracting. 3.663 * * [regime]: Finding splitpoints for: (# # # # # # # #) 3.666 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.666 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 3.702 * * * [regime]: Found split indices: #