20.554 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.034 * * * [progress]: [2/2] Setting up program. 0.036 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying using # : (- (sqrt (+ x 1.0)) (sqrt x)) 0.039 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.040 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.041 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.041 * [simplify]: Simplified to: (- (sqrt (+ x 1.0)) (sqrt x)) 0.042 * * [progress]: iteration 1 / 4 0.042 * * * [progress]: picking best candidate 0.043 * * * * [pick]: Picked # 0.043 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.078 * * * [progress]: generating series expansions 0.078 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.078 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.078 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.078 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.078 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.078 * [taylor]: Taking taylor expansion of x in x 0.078 * [taylor]: Taking taylor expansion of 1.0 in x 0.080 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.085 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.085 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.085 * [taylor]: Taking taylor expansion of x in x 0.085 * [taylor]: Taking taylor expansion of 1.0 in x 0.086 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.107 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.107 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.107 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.107 * [taylor]: Taking taylor expansion of 1.0 in x 0.107 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.110 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.110 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.110 * [taylor]: Taking taylor expansion of 1.0 in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.127 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.127 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.127 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.127 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.127 * [taylor]: Taking taylor expansion of 1.0 in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.129 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.129 * [taylor]: Taking taylor expansion of -1 in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.131 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.131 * [taylor]: Taking taylor expansion of 1.0 in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.133 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.133 * [taylor]: Taking taylor expansion of -1 in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.149 * * * [progress]: simplifying candidates 0.151 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) 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(fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma 1 (sqrt (+ x 1.0)) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (/ (exp (sqrt (+ x 1.0))) (exp (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (* (* (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (+ (* (sqrt x) (sqrt x)) (* (sqrt (+ x 1.0)) (sqrt x)))) (- (sqrt x)) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt x) (sqrt x))) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.157 * * [simplify]: iteration 0 : 252 enodes (cost 1065 ) 0.161 * * [simplify]: iteration 1 : 759 enodes (cost 733 ) 0.182 * * [simplify]: iteration 2 : 4363 enodes (cost 623 ) 0.282 * * [simplify]: iteration 3 : 5001 enodes (cost 593 ) 0.285 * [simplify]: Simplified to: (fma (- (sqrt x)) 1 (pow (cbrt (sqrt (+ x 1.0))) 3)) (- (sqrt x) (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (fma (- (sqrt x)) 1 (pow (cbrt (sqrt (+ x 1.0))) 3)) (- (sqrt x) (sqrt x)) (fma (- (sqrt x)) 1 (pow (cbrt (sqrt (+ x 1.0))) 3)) (- (sqrt x) (sqrt x)) (fma (- (sqrt x)) 1 (pow (cbrt (sqrt (+ x 1.0))) 3)) (- (sqrt x) (sqrt x)) (fma (- (sqrt x)) 1 (pow (cbrt (sqrt (+ x 1.0))) 3)) (- (sqrt x) (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (- (sqrt x) (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (* (sqrt (cbrt x)) (- (fabs (cbrt x))))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (- (sqrt x) (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (- (sqrt x) (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (- (sqrt x) (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x) (sqrt x)) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (pow (- (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (+ (fma (sqrt x) (sqrt (+ x 1.0)) x) x) 1.0) (- (sqrt x)) (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) 0.286 * * * [progress]: adding candidates to table 0.372 * * [progress]: iteration 2 / 4 0.372 * * * [progress]: picking best candidate 0.378 * * * * [pick]: Picked # 0.378 * * * [progress]: localizing error 0.385 * * * [progress]: generating rewritten candidates 0.385 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.416 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.436 * * * [progress]: generating series expansions 0.436 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.437 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 0.437 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 0.437 * [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 0.439 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.439 * [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 0.442 * [taylor]: Taking taylor expansion of 1.0 in x 0.442 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 0.442 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.442 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of 1.0 in x 0.444 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.444 * [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 0.546 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.546 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.546 * [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 0.576 * * * * [progress]: [ 2 / 2 ] 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 0.578 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.579 * [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 0.620 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.620 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.620 * [taylor]: Taking taylor expansion of -1 in x 0.620 * [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 0.623 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 0.623 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.623 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.623 * [taylor]: Taking taylor expansion of -1 in x 0.623 * [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 0.639 * * * [progress]: simplifying candidates 0.641 * [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)) (- (+ (* 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))))) 0.647 * * [simplify]: iteration 0 : 356 enodes (cost 693 ) 0.654 * * [simplify]: iteration 1 : 1446 enodes (cost 627 ) 0.683 * * [simplify]: iteration 2 : 5001 enodes (cost 586 ) 0.686 * [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)) (+ (+ (/ 1.0 (sqrt 1.0)) (fma 0.375 (/ (pow x 2) (pow (sqrt 1.0) 5)) (- (fma +nan.0 (/ x (/ 1.0 x)) (* 0.5 (/ x (pow (sqrt 1.0) 3))))))) (fma +nan.0 (* (/ x 1.0) (/ x 1.0)) (fma (- +nan.0) (/ x 1.0) (* +nan.0 (/ (pow x 2) (pow (sqrt 1.0) 3)))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (/ +nan.0 x) (- (fma +nan.0 1 (/ +nan.0 (pow x 2))))) (+ (- (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))))) 0.686 * * * [progress]: adding candidates to table 0.831 * * [progress]: iteration 3 / 4 0.831 * * * [progress]: picking best candidate 0.853 * * * * [pick]: Picked # 0.853 * * * [progress]: localizing error 0.865 * * * [progress]: generating rewritten candidates 0.865 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.867 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 0.870 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 0.872 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.894 * * * [progress]: generating series expansions 0.894 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 0.894 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in (x) around 0 0.894 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 0.894 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 0.894 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 0.894 * [taylor]: Taking taylor expansion of 1/3 in x 0.894 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.894 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.894 * [taylor]: Taking taylor expansion of x in x 0.894 * [taylor]: Taking taylor expansion of 1.0 in x 0.896 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 0.896 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 0.896 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 0.896 * [taylor]: Taking taylor expansion of 1/3 in x 0.896 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.896 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.897 * [taylor]: Taking taylor expansion of 1.0 in x 0.935 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in (x) around 0 0.935 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 0.935 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 0.935 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 0.935 * [taylor]: Taking taylor expansion of 1/3 in x 0.935 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 0.935 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.935 * [taylor]: Taking taylor expansion of 1.0 in x 0.935 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.937 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 0.937 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 0.937 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 0.937 * [taylor]: Taking taylor expansion of 1/3 in x 0.937 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 0.937 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.937 * [taylor]: Taking taylor expansion of 1.0 in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.937 * [taylor]: Taking taylor expansion of x in x 0.956 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in (x) around 0 0.956 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 0.956 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 0.956 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 0.956 * [taylor]: Taking taylor expansion of 1/3 in x 0.956 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.956 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.956 * [taylor]: Taking taylor expansion of 1.0 in x 0.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 0.958 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 0.958 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 0.958 * [taylor]: Taking taylor expansion of 1/3 in x 0.958 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 0.958 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.958 * [taylor]: Taking taylor expansion of 1.0 in x 0.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.983 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 0.983 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in (x) around 0 0.983 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 0.983 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 0.983 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 0.983 * [taylor]: Taking taylor expansion of 1/3 in x 0.983 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.983 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.983 * [taylor]: Taking taylor expansion of x in x 0.983 * [taylor]: Taking taylor expansion of 1.0 in x 0.985 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 0.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 0.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 0.985 * [taylor]: Taking taylor expansion of 1/3 in x 0.985 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 0.985 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of 1.0 in x 1.025 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in (x) around 0 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 1.026 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 1.026 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 1.026 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 1.026 * [taylor]: Taking taylor expansion of 1/3 in x 1.026 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.026 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.026 * [taylor]: Taking taylor expansion of 1.0 in x 1.026 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.026 * [taylor]: Taking taylor expansion of x in x 1.045 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in (x) around 0 1.045 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 1.045 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 1.045 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 1.045 * [taylor]: Taking taylor expansion of 1/3 in x 1.045 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.045 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.045 * [taylor]: Taking taylor expansion of 1.0 in x 1.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.045 * [taylor]: Taking taylor expansion of x in x 1.047 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 1.047 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 1.047 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 1.047 * [taylor]: Taking taylor expansion of 1/3 in x 1.047 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.047 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.047 * [taylor]: Taking taylor expansion of 1.0 in x 1.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.047 * [taylor]: Taking taylor expansion of x in x 1.072 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 1.072 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in (x) around 0 1.072 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 1.072 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 1.072 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 1.072 * [taylor]: Taking taylor expansion of 1/3 in x 1.072 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.072 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.072 * [taylor]: Taking taylor expansion of x in x 1.072 * [taylor]: Taking taylor expansion of 1.0 in x 1.074 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 1/3) in x 1.074 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ x 1.0)))) in x 1.074 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ x 1.0))) in x 1.074 * [taylor]: Taking taylor expansion of 1/3 in x 1.074 * [taylor]: Taking taylor expansion of (log (+ x 1.0)) in x 1.074 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [taylor]: Taking taylor expansion of 1.0 in x 1.113 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in (x) around 0 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 1.114 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.114 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.114 * [taylor]: Taking taylor expansion of 1.0 in x 1.114 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.114 * [taylor]: Taking taylor expansion of x in x 1.115 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 1/3) in x 1.115 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ 1.0 (/ 1 x))))) in x 1.115 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ 1.0 (/ 1 x)))) in x 1.115 * [taylor]: Taking taylor expansion of 1/3 in x 1.115 * [taylor]: Taking taylor expansion of (log (+ 1.0 (/ 1 x))) in x 1.115 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.115 * [taylor]: Taking taylor expansion of 1.0 in x 1.115 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.115 * [taylor]: Taking taylor expansion of x in x 1.134 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in (x) around 0 1.134 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 1/3) in x 1.134 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- 1.0 (/ 1 x))))) in x 1.134 * [taylor]: Taking taylor expansion of (* 1/3 (log (- 1.0 (/ 1 x)))) in x 1.134 * [taylor]: Taking taylor expansion of 1/3 in x 1.134 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 x))) in x 1.134 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.134 * [taylor]: Taking taylor expansion of 1.0 in x 1.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.134 * [taylor]: Taking taylor expansion of x in x 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 1.160 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.160 * [approximate]: Taking taylor expansion of (pow (pow (+ x 1.0) 2) 1/3) in (x) around 0 1.160 * [taylor]: Taking taylor expansion of (pow (pow (+ x 1.0) 2) 1/3) in x 1.160 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ x 1.0) 2)))) in x 1.160 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ x 1.0) 2))) in x 1.161 * [taylor]: Taking taylor expansion of 1/3 in x 1.161 * [taylor]: Taking taylor expansion of (log (pow (+ x 1.0) 2)) in x 1.161 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 1.161 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.161 * [taylor]: Taking taylor expansion of 1.0 in x 1.163 * [taylor]: Taking taylor expansion of (pow (pow (+ x 1.0) 2) 1/3) in x 1.163 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ x 1.0) 2)))) in x 1.163 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ x 1.0) 2))) in x 1.163 * [taylor]: Taking taylor expansion of 1/3 in x 1.163 * [taylor]: Taking taylor expansion of (log (pow (+ x 1.0) 2)) in x 1.163 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 1.163 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.163 * [taylor]: Taking taylor expansion of x in x 1.163 * [taylor]: Taking taylor expansion of 1.0 in x 1.212 * [approximate]: Taking taylor expansion of (pow (pow (+ 1.0 (/ 1 x)) 2) 1/3) in (x) around 0 1.212 * [taylor]: Taking taylor expansion of (pow (pow (+ 1.0 (/ 1 x)) 2) 1/3) in x 1.212 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ 1.0 (/ 1 x)) 2)))) in x 1.212 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ 1.0 (/ 1 x)) 2))) in x 1.212 * [taylor]: Taking taylor expansion of 1/3 in x 1.212 * [taylor]: Taking taylor expansion of (log (pow (+ 1.0 (/ 1 x)) 2)) in x 1.212 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 2) in x 1.212 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.212 * [taylor]: Taking taylor expansion of 1.0 in x 1.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.212 * [taylor]: Taking taylor expansion of x in x 1.213 * [taylor]: Taking taylor expansion of (pow (pow (+ 1.0 (/ 1 x)) 2) 1/3) in x 1.213 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (+ 1.0 (/ 1 x)) 2)))) in x 1.213 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (+ 1.0 (/ 1 x)) 2))) in x 1.213 * [taylor]: Taking taylor expansion of 1/3 in x 1.213 * [taylor]: Taking taylor expansion of (log (pow (+ 1.0 (/ 1 x)) 2)) in x 1.213 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 2) in x 1.213 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.213 * [taylor]: Taking taylor expansion of 1.0 in x 1.213 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.213 * [taylor]: Taking taylor expansion of x in x 1.237 * [approximate]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 x)) 2) 1/3) in (x) around 0 1.237 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 x)) 2) 1/3) in x 1.237 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 x)) 2)))) in x 1.238 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 x)) 2))) in x 1.238 * [taylor]: Taking taylor expansion of 1/3 in x 1.238 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 x)) 2)) in x 1.238 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 1.238 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.238 * [taylor]: Taking taylor expansion of 1.0 in x 1.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.238 * [taylor]: Taking taylor expansion of x in x 1.239 * [taylor]: Taking taylor expansion of (pow (pow (- 1.0 (/ 1 x)) 2) 1/3) in x 1.239 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (- 1.0 (/ 1 x)) 2)))) in x 1.239 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (- 1.0 (/ 1 x)) 2))) in x 1.239 * [taylor]: Taking taylor expansion of 1/3 in x 1.239 * [taylor]: Taking taylor expansion of (log (pow (- 1.0 (/ 1 x)) 2)) in x 1.239 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 1.239 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.239 * [taylor]: Taking taylor expansion of 1.0 in x 1.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.239 * [taylor]: Taking taylor expansion of x in x 1.273 * * * [progress]: simplifying candidates 1.275 * [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))) 1.281 * * [simplify]: iteration 0 : 321 enodes (cost 818 ) 1.287 * * [simplify]: iteration 1 : 1064 enodes (cost 769 ) 1.313 * * [simplify]: iteration 2 : 4750 enodes (cost 694 ) 1.424 * * [simplify]: iteration 3 : 5001 enodes (cost 688 ) 1.428 * [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)))) 1.428 * * * [progress]: adding candidates to table 1.794 * * [progress]: iteration 4 / 4 1.794 * * * [progress]: picking best candidate 1.811 * * * * [pick]: Picked # 1.811 * * * [progress]: localizing error 1.824 * * * [progress]: generating rewritten candidates 1.824 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.960 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.987 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.017 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.068 * * * [progress]: generating series expansions 2.068 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.069 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.069 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.069 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.069 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.069 * [taylor]: Taking taylor expansion of 1.0 in x 2.075 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.075 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.076 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.076 * [taylor]: Taking taylor expansion of x in x 2.076 * [taylor]: Taking taylor expansion of 1.0 in x 2.077 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.078 * [taylor]: Taking taylor expansion of x in x 2.081 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.081 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.081 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.081 * [taylor]: Taking taylor expansion of 1.0 in x 2.082 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.082 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.082 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.082 * [taylor]: Taking taylor expansion of x in x 2.082 * [taylor]: Taking taylor expansion of 1.0 in x 2.084 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.084 * [taylor]: Taking taylor expansion of x in x 2.143 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.143 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.143 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.143 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.143 * [taylor]: Taking taylor expansion of 1.0 in x 2.143 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.143 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.143 * [taylor]: Taking taylor expansion of x in x 2.145 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.145 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.145 * [taylor]: Taking taylor expansion of 1.0 in x 2.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.145 * [taylor]: Taking taylor expansion of x in x 2.149 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.149 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.149 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.149 * [taylor]: Taking taylor expansion of 1.0 in x 2.150 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.150 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.150 * [taylor]: Taking taylor expansion of x in x 2.151 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.151 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.151 * [taylor]: Taking taylor expansion of 1.0 in x 2.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.151 * [taylor]: Taking taylor expansion of x in x 2.195 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.195 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.195 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.195 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.195 * [taylor]: Taking taylor expansion of 1.0 in x 2.196 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.196 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.196 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.196 * [taylor]: Taking taylor expansion of -1 in x 2.196 * [taylor]: Taking taylor expansion of x in x 2.197 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.197 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.197 * [taylor]: Taking taylor expansion of 1.0 in x 2.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.198 * [taylor]: Taking taylor expansion of x in x 2.202 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.202 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in x 2.202 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.202 * [taylor]: Taking taylor expansion of 1.0 in x 2.202 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.203 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.203 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.203 * [taylor]: Taking taylor expansion of -1 in x 2.203 * [taylor]: Taking taylor expansion of x in x 2.204 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.204 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.204 * [taylor]: Taking taylor expansion of 1.0 in x 2.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.204 * [taylor]: Taking taylor expansion of x in x 2.241 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.242 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.242 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.242 * [taylor]: Taking taylor expansion of 1.0 in x 2.242 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.242 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.242 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.242 * [taylor]: Taking taylor expansion of x in x 2.242 * [taylor]: Taking taylor expansion of 1.0 in x 2.250 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.250 * [taylor]: Taking taylor expansion of x in x 2.252 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.253 * [taylor]: Taking taylor expansion of 1.0 in x 2.253 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.253 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.253 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.253 * [taylor]: Taking taylor expansion of x in x 2.253 * [taylor]: Taking taylor expansion of 1.0 in x 2.254 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.254 * [taylor]: Taking taylor expansion of x in x 2.337 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.337 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.337 * [taylor]: Taking taylor expansion of 1.0 in x 2.337 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.337 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.337 * [taylor]: Taking taylor expansion of x in x 2.338 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.338 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.338 * [taylor]: Taking taylor expansion of 1.0 in x 2.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.338 * [taylor]: Taking taylor expansion of x in x 2.341 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.341 * [taylor]: Taking taylor expansion of 1.0 in x 2.341 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.341 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.341 * [taylor]: Taking taylor expansion of x in x 2.342 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.342 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.342 * [taylor]: Taking taylor expansion of 1.0 in x 2.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.342 * [taylor]: Taking taylor expansion of x in x 2.363 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.363 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.363 * [taylor]: Taking taylor expansion of 1.0 in x 2.363 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.363 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.363 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.363 * [taylor]: Taking taylor expansion of -1 in x 2.363 * [taylor]: Taking taylor expansion of x in x 2.364 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.364 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.364 * [taylor]: Taking taylor expansion of 1.0 in x 2.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.364 * [taylor]: Taking taylor expansion of x in x 2.367 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.367 * [taylor]: Taking taylor expansion of 1.0 in x 2.367 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.367 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.367 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.367 * [taylor]: Taking taylor expansion of -1 in x 2.367 * [taylor]: Taking taylor expansion of x in x 2.368 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.368 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.368 * [taylor]: Taking taylor expansion of 1.0 in x 2.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.368 * [taylor]: Taking taylor expansion of x in x 2.389 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.389 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in (x) around 0 2.389 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.389 * [taylor]: Taking taylor expansion of 1.0 in x 2.389 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.389 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.390 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.390 * [taylor]: Taking taylor expansion of x in x 2.390 * [taylor]: Taking taylor expansion of 1.0 in x 2.391 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.391 * [taylor]: Taking taylor expansion of x in x 2.393 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.393 * [taylor]: Taking taylor expansion of 1.0 in x 2.393 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.394 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.394 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.394 * [taylor]: Taking taylor expansion of x in x 2.394 * [taylor]: Taking taylor expansion of 1.0 in x 2.395 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.395 * [taylor]: Taking taylor expansion of x in x 2.477 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in (x) around 0 2.477 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (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 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 2.481 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.481 * [taylor]: Taking taylor expansion of 1.0 in x 2.481 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.481 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.481 * [taylor]: Taking taylor expansion of x in x 2.482 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.482 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.482 * [taylor]: Taking taylor expansion of 1.0 in x 2.482 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.482 * [taylor]: Taking taylor expansion of x in x 2.510 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in (x) around 0 2.510 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.510 * [taylor]: Taking taylor expansion of 1.0 in x 2.510 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.510 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.510 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.511 * [taylor]: Taking taylor expansion of -1 in x 2.511 * [taylor]: Taking taylor expansion of x in x 2.512 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.512 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.512 * [taylor]: Taking taylor expansion of 1.0 in x 2.512 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.512 * [taylor]: Taking taylor expansion of x in x 2.515 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.515 * [taylor]: Taking taylor expansion of 1.0 in x 2.515 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.515 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.515 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.515 * [taylor]: Taking taylor expansion of -1 in x 2.515 * [taylor]: Taking taylor expansion of x in x 2.516 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.516 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.516 * [taylor]: Taking taylor expansion of 1.0 in x 2.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.516 * [taylor]: Taking taylor expansion of x in x 2.537 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.537 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in (x) around 0 2.537 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 2.538 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.538 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.538 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.538 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.538 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.538 * [taylor]: Taking taylor expansion of x in x 2.538 * [taylor]: Taking taylor expansion of 1.0 in x 2.539 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.539 * [taylor]: Taking taylor expansion of x in x 2.556 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.556 * [taylor]: Taking taylor expansion of 1.0 in x 2.557 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt 1.0)) in x 2.557 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x)))) in x 2.557 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (+ x 1.0)) (sqrt x))) in x 2.557 * [taylor]: Taking taylor expansion of (+ (sqrt (+ x 1.0)) (sqrt x)) in x 2.557 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.557 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.557 * [taylor]: Taking taylor expansion of x in x 2.557 * [taylor]: Taking taylor expansion of 1.0 in x 2.559 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.559 * [taylor]: Taking taylor expansion of x in x 2.576 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.576 * [taylor]: Taking taylor expansion of 1.0 in x 2.738 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 2.738 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.738 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.738 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.738 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.738 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.738 * [taylor]: Taking taylor expansion of x in x 2.739 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.740 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.740 * [taylor]: Taking taylor expansion of 1.0 in x 2.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.740 * [taylor]: Taking taylor expansion of x in x 2.757 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.757 * [taylor]: Taking taylor expansion of 1.0 in x 2.758 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.758 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))))) in x 2.758 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x))))) in x 2.758 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 x)) (sqrt (+ 1.0 (/ 1 x)))) in x 2.758 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.758 * [taylor]: Taking taylor expansion of x in x 2.759 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.759 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.759 * [taylor]: Taking taylor expansion of 1.0 in x 2.759 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.759 * [taylor]: Taking taylor expansion of x in x 2.770 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.770 * [taylor]: Taking taylor expansion of 1.0 in x 2.813 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in (x) around 0 2.813 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.813 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.813 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.813 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.813 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.813 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.813 * [taylor]: Taking taylor expansion of -1 in x 2.813 * [taylor]: Taking taylor expansion of x in x 2.814 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.814 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.814 * [taylor]: Taking taylor expansion of 1.0 in x 2.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.814 * [taylor]: Taking taylor expansion of x in x 2.825 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.826 * [taylor]: Taking taylor expansion of 1.0 in x 2.826 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) (sqrt 1.0)) in x 2.826 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))))) in x 2.826 * [taylor]: Taking taylor expansion of (/ 1 (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x))))) in x 2.826 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 x)) (sqrt (- 1.0 (/ 1 x)))) in x 2.826 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.826 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.826 * [taylor]: Taking taylor expansion of -1 in x 2.826 * [taylor]: Taking taylor expansion of x in x 2.828 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.828 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.828 * [taylor]: Taking taylor expansion of 1.0 in x 2.828 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.828 * [taylor]: Taking taylor expansion of x in x 2.846 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.846 * [taylor]: Taking taylor expansion of 1.0 in x 2.889 * * * [progress]: simplifying candidates 2.895 * [simplify]: Simplifying using # : (expm1 (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log1p (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ (+ 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))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (+ 1 1) (+ (log (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (log (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (log (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (exp (* (sqrt (/ (+ 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)))) (sqrt (/ (+ 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)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (cbrt (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))))) (cbrt (* (sqrt (/ (+ 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)))) (sqrt (/ (+ 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)))))) (* (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))) (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (sqrt (* (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (+ 1.0 0)) (sqrt (+ 1.0 0))) (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))) (* (* (cbrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (cbrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))))) (* (cbrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x))))) (cbrt (sqrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))))) (* (sqrt (* (cbrt (/ (+ 1.0 0) (+ (sqrt (+ x 1.0)) (sqrt x)))) 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1.0) (* (sqrt +nan.0) x)) (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow x 2)))))) (+ (- (* (sqrt +nan.0) (sqrt 1.0)) (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) (pow x 2))))) (* +nan.0 (- (/ (sqrt 1.0) (* (sqrt +nan.0) x)) (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow x 2)))))) 3.025 * * * [progress]: adding candidates to table 3.599 * [progress]: [Phase 3 of 3] Extracting. 3.599 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 3.602 * * * [regime-changes]: Trying 1 branch expressions: (x) 3.602 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 3.640 * * * [regime]: Found split indices: #