0.740 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.035 * [simplify]: Simplifying using # : (- (* (+ x 1.0) (+ x 1.0)) 1.0) 0.577 * * [simplify]: iteration 0 : 14 enodes (cost 4 ) 0.578 * * [simplify]: iteration 1 : 37 enodes (cost 4 ) 0.579 * * [simplify]: iteration 2 : 103 enodes (cost 4 ) 0.581 * * [simplify]: iteration 3 : 220 enodes (cost 4 ) 0.584 * * [simplify]: iteration 4 : 387 enodes (cost 4 ) 0.588 * * [simplify]: iteration 5 : 527 enodes (cost 4 ) 0.593 * * [simplify]: iteration 6 : 803 enodes (cost 4 ) 0.602 * * [simplify]: iteration 7 : 1602 enodes (cost 4 ) 0.618 * * [simplify]: iteration 8 : 2861 enodes (cost 4 ) 0.639 * * [simplify]: iteration 9 : 4340 enodes (cost 4 ) 0.663 * * [simplify]: iteration 10 : 4803 enodes (cost 4 ) 0.686 * * [simplify]: iteration 11 : 5001 enodes (cost 4 ) 0.687 * [simplify]: Simplified to: (- (* (+ x 1.0) (+ x 1.0)) 1.0) 0.688 * * [progress]: iteration 1 / 4 0.688 * * * [progress]: picking best candidate 0.690 * * * * [pick]: Picked # 0.691 * * * [progress]: localizing error 0.696 * * * [progress]: generating rewritten candidates 0.697 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.706 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.716 * * * [progress]: generating series expansions 0.717 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.730 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in (x) around 0 0.731 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.732 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.732 * [taylor]: Taking taylor expansion of 2.0 in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 x)) in x 0.732 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.732 * [taylor]: Taking taylor expansion of 2.0 in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.735 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.735 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.735 * [taylor]: Taking taylor expansion of 2.0 in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.735 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.735 * [taylor]: Taking taylor expansion of 2.0 in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.737 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in (x) around 0 0.737 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.737 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.738 * [taylor]: Taking taylor expansion of 2.0 in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2.0 (/ 1 x))) in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.738 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.738 * [taylor]: Taking taylor expansion of 2.0 in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.739 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.740 * [approximate]: Taking taylor expansion of (pow (+ x 1.0) 2) in (x) around 0 0.740 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 0.740 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of 1.0 in x 0.740 * [taylor]: Taking taylor expansion of (pow (+ x 1.0) 2) in x 0.740 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of 1.0 in x 0.740 * [approximate]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 2) in (x) around 0 0.740 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 2) in x 0.740 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.740 * [taylor]: Taking taylor expansion of 1.0 in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (pow (+ 1.0 (/ 1 x)) 2) in x 0.740 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.740 * [taylor]: Taking taylor expansion of 1.0 in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.741 * [approximate]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in (x) around 0 0.741 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 0.741 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.741 * [taylor]: Taking taylor expansion of 1.0 in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 x)) 2) in x 0.741 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.741 * [taylor]: Taking taylor expansion of 1.0 in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.742 * * * [progress]: simplifying candidates 0.743 * [simplify]: Simplifying using # : (/ (exp (* (+ x 1.0) (+ x 1.0))) (exp 1.0)) (log (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (exp (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (* (cbrt (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (cbrt (- (* (+ x 1.0) (+ x 1.0)) 1.0))) (cbrt (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (* (* (- (* (+ x 1.0) (+ x 1.0)) 1.0) (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (sqrt (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (sqrt (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (- (pow (* (+ x 1.0) (+ x 1.0)) 3) (pow 1.0 3)) (+ (* (* (+ x 1.0) (+ x 1.0)) (* (+ x 1.0) (+ x 1.0))) (+ (* 1.0 1.0) (* (* (+ x 1.0) (+ x 1.0)) 1.0))) (neg 1.0) (- (* (* (+ x 1.0) (+ x 1.0)) (* (+ x 1.0) (+ x 1.0))) (* 1.0 1.0)) (+ (* (+ x 1.0) (+ x 1.0)) 1.0) (+ (+ x 1.0) (sqrt 1.0)) (- (+ x 1.0) (sqrt 1.0)) (- (* (+ x 1.0) 1.0) 1.0) (- (* 1.0 (+ x 1.0)) 1.0) (neg 1.0) (+ 1 1) (* (+ x 1.0) (+ x 1.0)) (+ 1 1) (+ (log (+ x 1.0)) (log (+ x 1.0))) (log (* (+ x 1.0) (+ x 1.0))) (exp (* (+ x 1.0) (+ x 1.0))) (* (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0)) (* (* (+ x 1.0) (+ x 1.0)) (+ x 1.0))) (* (cbrt (* (+ x 1.0) (+ x 1.0))) (cbrt (* (+ x 1.0) (+ x 1.0)))) (cbrt (* (+ x 1.0) (+ x 1.0))) (* (* (* (+ x 1.0) (+ x 1.0)) (* (+ x 1.0) (+ x 1.0))) (* (+ x 1.0) (+ x 1.0))) (sqrt (* (+ x 1.0) (+ x 1.0))) (sqrt (* (+ x 1.0) (+ x 1.0))) (* (+ (pow x 3) (pow 1.0 3)) (+ (pow x 3) (pow 1.0 3))) (* (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (+ (pow x 3) (pow 1.0 3)) (- (* x x) (* 1.0 1.0))) (* (+ (* x x) (- (* 1.0 1.0) (* x 1.0))) (- x 1.0)) (* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3))) (* (- x 1.0) (+ (* x x) (- (* 1.0 1.0) (* x 1.0)))) (* (- (* x x) (* 1.0 1.0)) (- (* x x) (* 1.0 1.0))) (* (- x 1.0) (- 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 (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1 1) (* (+ x 1.0) (+ x 1.0)) (* 1 1) (* (+ x 1.0) (+ x 1.0)) (* 1 1) (* (+ x 1.0) (+ x 1.0)) (* 1 1) (* (+ x 1.0) (+ x 1.0)) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 2 1) (* (+ x 1.0) x) (* (+ x 1.0) 1.0) (* x (+ x 1.0)) (* 1.0 (+ x 1.0)) (* (+ x 1.0) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (* (+ x 1.0) (sqrt (+ x 1.0))) (* (+ x 1.0) 1) (* (+ x 1.0) 1) (* (cbrt (+ x 1.0)) (+ x 1.0)) (* (sqrt (+ x 1.0)) (+ x 1.0)) (* (+ x 1.0) (+ x 1.0)) (* (+ x 1.0) (+ x 1.0)) (* (+ x 1.0) (+ (pow x 3) (pow 1.0 3))) (* (+ x 1.0) (- (* x x) (* 1.0 1.0))) (* (+ (pow x 3) (pow 1.0 3)) (+ x 1.0)) (* (- (* x x) (* 1.0 1.0)) (+ x 1.0)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (+ (* 2.0 x) 1.0)) (+ (pow x 2) (+ (* 2.0 x) 1.0)) (+ (pow x 2) (+ (* 2.0 x) 1.0)) 0.746 * * [simplify]: iteration 0 : 234 enodes (cost 303 ) 0.751 * * [simplify]: iteration 1 : 999 enodes (cost 270 ) 0.776 * * [simplify]: iteration 2 : 5001 enodes (cost 261 ) 0.778 * [simplify]: Simplified to: (exp (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (log (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (exp (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (* (cbrt (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (cbrt (- (* (+ x 1.0) (+ x 1.0)) 1.0))) (cbrt (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (pow (- (* (+ x 1.0) (+ x 1.0)) 1.0) 3) (sqrt (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (sqrt (- (* (+ x 1.0) (+ x 1.0)) 1.0)) (+ (neg (pow 1.0 3)) (pow (+ x 1.0) 6)) (+ (* (+ x 1.0) (+ (pow (+ x 1.0) 3) (* 1.0 (+ x 1.0)))) (* 1.0 1.0)) (neg 1.0) (+ (neg (* 1.0 1.0)) (* (pow (+ x 1.0) 3) (+ x 1.0))) (+ (* (+ x 1.0) (+ x 1.0)) 1.0) (+ (+ x 1.0) (sqrt 1.0)) (- (+ x 1.0) (sqrt 1.0)) (- (* 1.0 (+ x 1.0)) 1.0) (- (* 1.0 (+ x 1.0)) 1.0) (neg 1.0) 2 (* (+ x 1.0) (+ x 1.0)) 2 (* 2 (log (+ x 1.0))) (* 2 (log (+ x 1.0))) (exp (* (+ x 1.0) (+ x 1.0))) (pow (+ x 1.0) 6) (* (cbrt (* (+ x 1.0) (+ x 1.0))) (cbrt (* (+ x 1.0) (+ x 1.0)))) (cbrt (* (+ x 1.0) (+ x 1.0))) (pow (+ x 1.0) 6) (fabs (+ x 1.0)) (fabs (+ x 1.0)) (* (+ (pow x 3) (pow 1.0 3)) (+ (pow x 3) (pow 1.0 3))) (* (+ (* 1.0 (- 1.0 x)) (pow x 2)) (+ (pow x 2) (* 1.0 (- 1.0 x)))) (* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3))) (* (- x 1.0) (+ (pow x 2) (* 1.0 (- 1.0 x)))) (* (- (* x x) (* 1.0 1.0)) (+ (pow x 3) (pow 1.0 3))) (* (- x 1.0) (+ (pow x 2) (* 1.0 (- 1.0 x)))) (* (- (* x x) (* 1.0 1.0)) (- (* x x) (* 1.0 1.0))) (* (- x 1.0) (- x 1.0)) (pow (cbrt (+ x 1.0)) 4) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ x 1.0) (+ x 1.0) 1 (* (+ x 1.0) (+ x 1.0)) 1 (* (+ x 1.0) (+ x 1.0)) 1 (* (+ x 1.0) (+ x 1.0)) 1 (* (+ x 1.0) (+ x 1.0)) (+ x 1.0) (+ x 1.0) 2 (* x (+ x 1.0)) (* 1.0 (+ x 1.0)) (* x (+ x 1.0)) (* 1.0 (+ x 1.0)) (* (pow (cbrt (+ x 1.0)) 4) (cbrt (+ x 1.0))) (pow (sqrt (+ x 1.0)) 3) (+ x 1.0) (+ x 1.0) (pow (cbrt (+ x 1.0)) 4) (pow (sqrt (+ x 1.0)) 3) (* (+ x 1.0) (+ x 1.0)) (* (+ x 1.0) (+ x 1.0)) (* (+ x 1.0) (+ (pow x 3) (pow 1.0 3))) (* (- (* x x) (* 1.0 1.0)) (+ x 1.0)) (* (+ x 1.0) (+ (pow x 3) (pow 1.0 3))) (* (- (* x x) (* 1.0 1.0)) (+ x 1.0)) (* x (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ 2.0 x)) (+ 1.0 (* x (+ 2.0 x))) (+ 1.0 (* x (+ 2.0 x))) (+ 1.0 (* x (+ 2.0 x))) 0.779 * * * [progress]: adding candidates to table 0.844 * * [progress]: iteration 2 / 4 0.844 * * * [progress]: picking best candidate 0.846 * * * * [pick]: Picked # 0.846 * * * [progress]: localizing error 0.848 * * * [progress]: generating rewritten candidates 0.848 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.854 * * * [progress]: generating series expansions 0.855 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.855 * [approximate]: Taking taylor expansion of (* (+ x 2.0) x) in (x) around 0 0.855 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.855 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of 2.0 in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.855 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.855 * [taylor]: Taking taylor expansion of 2.0 in x 0.855 * [taylor]: Taking taylor expansion of x in x 0.856 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in (x) around 0 0.856 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.856 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of 2.0 in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.856 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of 2.0 in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.857 * [approximate]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in (x) around 0 0.857 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.858 * [taylor]: Taking taylor expansion of -1 in x 0.858 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.858 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.858 * [taylor]: Taking taylor expansion of 2.0 in x 0.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.858 * [taylor]: Taking taylor expansion of -1 in x 0.858 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.858 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.858 * [taylor]: Taking taylor expansion of 2.0 in x 0.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.859 * * * [progress]: simplifying candidates 0.860 * [simplify]: Simplifying using # : (* x (+ 2.0 x)) (+ (log x) (log (+ 2.0 x))) (log (* x (+ 2.0 x))) (exp (* x (+ 2.0 x))) (* (* (* x x) x) (* (* (+ 2.0 x) (+ 2.0 x)) (+ 2.0 x))) (* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x)))) (cbrt (* x (+ 2.0 x))) (* (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* x 2.0) (* x x) (* 2.0 x) (* x x) (* x (* (cbrt (+ 2.0 x)) (cbrt (+ 2.0 x)))) (* x (sqrt (+ 2.0 x))) (* x 1) (* x 1) (* (cbrt x) (+ 2.0 x)) (* (sqrt x) (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ (pow 2.0 3) (pow x 3))) (* x (- (* 2.0 2.0) (* x x))) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) 0.862 * * [simplify]: iteration 0 : 123 enodes (cost 85 ) 0.865 * * [simplify]: iteration 1 : 594 enodes (cost 76 ) 0.877 * * [simplify]: iteration 2 : 2937 enodes (cost 76 ) 0.933 * * [simplify]: iteration 3 : 5001 enodes (cost 76 ) 0.934 * [simplify]: Simplified to: (* x (+ 2.0 x)) (log (* x (+ 2.0 x))) (log (* x (+ 2.0 x))) (exp (* x (+ 2.0 x))) (pow (* x (+ 2.0 x)) 3) (* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x)))) (cbrt (* x (+ 2.0 x))) (pow (* x (+ 2.0 x)) 3) (sqrt (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (* (sqrt (+ 2.0 x)) (pow x 1/2)) (* (sqrt (+ 2.0 x)) (pow x 1/2)) (* x 2.0) (pow x 2) (* x 2.0) (pow x 2) (* x (* (cbrt (+ 2.0 x)) (cbrt (+ 2.0 x)))) (* x (sqrt (+ 2.0 x))) x x (* (cbrt x) (+ 2.0 x)) (* (sqrt x) (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ (pow 2.0 3) (pow x 3))) (* x (- (* 2.0 2.0) (* x x))) (* x (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ 2.0 x)) 0.934 * * * [progress]: adding candidates to table 0.958 * * [progress]: iteration 3 / 4 0.958 * * * [progress]: picking best candidate 0.961 * * * * [pick]: Picked # 0.961 * * * [progress]: localizing error 0.967 * * * [progress]: generating rewritten candidates 0.967 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.973 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 0.978 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.984 * * * [progress]: generating series expansions 0.984 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.984 * [approximate]: Taking taylor expansion of (* (+ x 2.0) x) in (x) around 0 0.984 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.984 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of 2.0 in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.984 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.984 * [taylor]: Taking taylor expansion of 2.0 in x 0.984 * [taylor]: Taking taylor expansion of x in x 0.985 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in (x) around 0 0.985 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.985 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of 2.0 in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.985 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.985 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.986 * [taylor]: Taking taylor expansion of 2.0 in x 0.986 * [taylor]: Taking taylor expansion of x in x 0.987 * [approximate]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in (x) around 0 0.987 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.987 * [taylor]: Taking taylor expansion of -1 in x 0.987 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.987 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.987 * [taylor]: Taking taylor expansion of 2.0 in x 0.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.987 * [taylor]: Taking taylor expansion of -1 in x 0.987 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.987 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.987 * [taylor]: Taking taylor expansion of 2.0 in x 0.987 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.989 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 0.989 * [approximate]: Taking taylor expansion of (* (+ x 2.0) x) in (x) around 0 0.989 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.989 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of 2.0 in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.989 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.989 * [taylor]: Taking taylor expansion of 2.0 in x 0.989 * [taylor]: Taking taylor expansion of x in x 0.990 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in (x) around 0 0.990 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.990 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of 2.0 in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.990 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.990 * [taylor]: Taking taylor expansion of 2.0 in x 0.990 * [taylor]: Taking taylor expansion of x in x 0.991 * [approximate]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in (x) around 0 0.991 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.991 * [taylor]: Taking taylor expansion of -1 in x 0.991 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.991 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.991 * [taylor]: Taking taylor expansion of 2.0 in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.991 * [taylor]: Taking taylor expansion of -1 in x 0.991 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.991 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.991 * [taylor]: Taking taylor expansion of 2.0 in x 0.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.991 * [taylor]: Taking taylor expansion of x in x 0.993 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.993 * [approximate]: Taking taylor expansion of (log (* (+ x 2.0) x)) in (x) around 0 0.993 * [taylor]: Taking taylor expansion of (log (* (+ x 2.0) x)) in x 0.993 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.993 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.993 * [taylor]: Taking taylor expansion of 2.0 in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.993 * [taylor]: Taking taylor expansion of (log (* (+ x 2.0) x)) in x 0.993 * [taylor]: Taking taylor expansion of (* (+ x 2.0) x) in x 0.993 * [taylor]: Taking taylor expansion of (+ x 2.0) in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.993 * [taylor]: Taking taylor expansion of 2.0 in x 0.993 * [taylor]: Taking taylor expansion of x in x 0.995 * [approximate]: Taking taylor expansion of (log (/ (+ (/ 1 x) 2.0) x)) in (x) around 0 0.995 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 x) 2.0) x)) in x 0.995 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.995 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of 2.0 in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of (log (/ (+ (/ 1 x) 2.0) x)) in x 0.995 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 2.0) x) in x 0.995 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 2.0) in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.995 * [taylor]: Taking taylor expansion of 2.0 in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.996 * [approximate]: Taking taylor expansion of (log (* -1 (/ (- 2.0 (/ 1 x)) x))) in (x) around 0 0.996 * [taylor]: Taking taylor expansion of (log (* -1 (/ (- 2.0 (/ 1 x)) x))) in x 0.996 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.996 * [taylor]: Taking taylor expansion of -1 in x 0.996 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.996 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.996 * [taylor]: Taking taylor expansion of 2.0 in x 0.996 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of (log (* -1 (/ (- 2.0 (/ 1 x)) x))) in x 0.997 * [taylor]: Taking taylor expansion of (* -1 (/ (- 2.0 (/ 1 x)) x)) in x 0.997 * [taylor]: Taking taylor expansion of -1 in x 0.997 * [taylor]: Taking taylor expansion of (/ (- 2.0 (/ 1 x)) x) in x 0.997 * [taylor]: Taking taylor expansion of (- 2.0 (/ 1 x)) in x 0.997 * [taylor]: Taking taylor expansion of 2.0 in x 0.997 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.997 * [taylor]: Taking taylor expansion of x in x 0.998 * * * [progress]: simplifying candidates 0.998 * [simplify]: Simplifying using # : (exp 1) (exp 1) (exp (* (cbrt (log (* x (+ 2.0 x)))) (cbrt (log (* x (+ 2.0 x)))))) (exp (sqrt (log (* x (+ 2.0 x))))) (exp 1) (exp (log x)) (exp (log (+ 2.0 x))) (exp (log (* x (+ (pow 2.0 3) (pow x 3))))) (exp (log (+ (* 2.0 2.0) (- (* x x) (* 2.0 x))))) (exp (log (* x (- (* 2.0 2.0) (* x x))))) (exp (log (- 2.0 x))) (log (exp (log (* x (+ 2.0 x))))) (exp (exp (log (* x (+ 2.0 x))))) (* (cbrt (exp (log (* x (+ 2.0 x))))) (cbrt (exp (log (* x (+ 2.0 x)))))) (cbrt (exp (log (* x (+ 2.0 x))))) (* (* (exp (log (* x (+ 2.0 x)))) (exp (log (* x (+ 2.0 x))))) (exp (log (* x (+ 2.0 x))))) (sqrt (exp (log (* x (+ 2.0 x))))) (sqrt (exp (log (* x (+ 2.0 x))))) (* x (+ 2.0 x)) (+ (log x) (log (+ 2.0 x))) (log (* x (+ 2.0 x))) (exp (* x (+ 2.0 x))) (* (* (* x x) x) (* (* (+ 2.0 x) (+ 2.0 x)) (+ 2.0 x))) (* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x)))) (cbrt (* x (+ 2.0 x))) (* (* (* x (+ 2.0 x)) (* x (+ 2.0 x))) (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* (sqrt x) (sqrt (+ 2.0 x))) (* x 2.0) (* x x) (* 2.0 x) (* x x) (* x (* (cbrt (+ 2.0 x)) (cbrt (+ 2.0 x)))) (* x (sqrt (+ 2.0 x))) (* x 1) (* x 1) (* (cbrt x) (+ 2.0 x)) (* (sqrt x) (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ (pow 2.0 3) (pow x 3))) (* x (- (* 2.0 2.0) (* x x))) (log x) (log (+ 2.0 x)) (log (* x (+ (pow 2.0 3) (pow x 3)))) (log (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))) (log (* x (- (* 2.0 2.0) (* x x)))) (log (- 2.0 x)) (log (* x (+ 2.0 x))) (log (* x (+ 2.0 x))) (log (log (* x (+ 2.0 x)))) (exp (log (* x (+ 2.0 x)))) (* (cbrt (log (* x (+ 2.0 x)))) (cbrt (log (* x (+ 2.0 x))))) (cbrt (log (* x (+ 2.0 x)))) (* (* (log (* x (+ 2.0 x))) (log (* x (+ 2.0 x)))) (log (* x (+ 2.0 x)))) (sqrt (log (* x (+ 2.0 x)))) (sqrt (log (* x (+ 2.0 x)))) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (+ (pow x 2) (* 2.0 x)) (- (+ (log 2.0) (+ (log x) (* 0.5 x))) (* 1/2 (/ (pow x 2) (pow 2.0 2)))) (- (+ (log 1) (* 2.0 (/ 1 x))) (+ (* 2.0 (/ 1 (pow x 2))) (* 2 (log (/ 1 x))))) (- (+ (log 1) (* 2.0 (/ 1 x))) (+ (* 2.0 (/ 1 (pow x 2))) (* 2 (log (/ -1 x))))) 1.002 * * [simplify]: iteration 0 : 237 enodes (cost 249 ) 1.006 * * [simplify]: iteration 1 : 992 enodes (cost 226 ) 1.025 * * [simplify]: iteration 2 : 4778 enodes (cost 219 ) 1.117 * * [simplify]: iteration 3 : 5002 enodes (cost 219 ) 1.120 * [simplify]: Simplified to: E E (exp (* (cbrt (log (* x (+ 2.0 x)))) (cbrt (log (* x (+ 2.0 x)))))) (exp (sqrt (log (* x (+ 2.0 x))))) E x (+ 2.0 x) (* x (+ (pow 2.0 3) (pow x 3))) (+ (* x (- x 2.0)) (pow 2.0 2)) (* x (- (* 2.0 2.0) (* x x))) (- 2.0 x) (log (* x (+ 2.0 x))) (exp (* x (+ 2.0 x))) (* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x)))) (cbrt (* x (+ 2.0 x))) (pow (* x (+ 2.0 x)) 3) (sqrt (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (* x (+ 2.0 x)) (log (* x (+ 2.0 x))) (log (* x (+ 2.0 x))) (exp (* x (+ 2.0 x))) (pow (* x (+ 2.0 x)) 3) (* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x)))) (cbrt (* x (+ 2.0 x))) (pow (* x (+ 2.0 x)) 3) (sqrt (* x (+ 2.0 x))) (sqrt (* x (+ 2.0 x))) (* (sqrt (+ 2.0 x)) (pow x 1/2)) (* (sqrt (+ 2.0 x)) (pow x 1/2)) (* 2.0 x) (pow x 2) (* 2.0 x) (pow x 2) (* x (* (cbrt (+ 2.0 x)) (cbrt (+ 2.0 x)))) (* x (sqrt (+ 2.0 x))) x x (* (cbrt x) (+ 2.0 x)) (* (sqrt x) (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ (pow 2.0 3) (pow x 3))) (* x (- (* 2.0 2.0) (* x x))) (log x) (log (+ 2.0 x)) (log (* x (+ (pow 2.0 3) (pow x 3)))) (log (+ (* 2.0 2.0) (- (* x x) (* 2.0 x)))) (log (* x (- (* 2.0 2.0) (* x x)))) (log (- 2.0 x)) (log (* x (+ 2.0 x))) (log (* x (+ 2.0 x))) (log (log (* x (+ 2.0 x)))) (* x (+ 2.0 x)) (* (cbrt (log (* x (+ 2.0 x)))) (cbrt (log (* x (+ 2.0 x))))) (cbrt (log (* x (+ 2.0 x)))) (pow (log (* x (+ 2.0 x))) 3) (sqrt (log (* x (+ 2.0 x)))) (sqrt (log (* x (+ 2.0 x)))) (* x (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ 2.0 x)) (* x (+ 2.0 x)) (- (+ (log 2.0) (+ (log x) (* 0.5 x))) (* 1/2 (/ (pow x 2) (pow 2.0 2)))) (- (/ 2.0 x) (- (/ 2.0 (pow x 2)) (* (log x) 2))) (- (/ 2.0 x) (- (/ 2.0 (pow x 2)) (* -2 (log (/ -1 x))))) 1.120 * * * [progress]: adding candidates to table 1.187 * [progress]: [Phase 3 of 3] Extracting. 1.187 * * [regime]: Finding splitpoints for: (# #) 1.188 * * * [regime-changes]: Trying 1 branch expressions: (x) 1.188 * * * * [regimes]: Trying to branch on x from (# #) 1.213 * * * [regime]: Found split indices: #