0.735 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying using # : (* (sqrt (- x 1.0)) (sqrt x)) 0.676 * * [simplify]: iteration 0 : 7 enodes (cost 7 ) 0.677 * * [simplify]: iteration 1 : 7 enodes (cost 7 ) 0.677 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.679 * * [progress]: iteration 1 / 4 0.679 * * * [progress]: picking best candidate 0.682 * * * * [pick]: Picked # 0.682 * * * [progress]: localizing error 0.689 * * * [progress]: generating rewritten candidates 0.689 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.701 * * * [progress]: generating series expansions 0.702 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.706 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.706 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.706 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.706 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of 1.0 in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.707 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.707 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of 1.0 in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.711 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.711 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.711 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.711 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.711 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.711 * [taylor]: Taking taylor expansion of 1.0 in x 0.711 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.712 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.712 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of 1.0 in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [approximate]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.712 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.713 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.713 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.713 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.713 * [taylor]: Taking taylor expansion of 1.0 in x 0.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.713 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.713 * [taylor]: Taking taylor expansion of -1 in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.713 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.713 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.713 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.713 * [taylor]: Taking taylor expansion of 1.0 in x 0.713 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.713 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.713 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.713 * [taylor]: Taking taylor expansion of -1 in x 0.713 * [taylor]: Taking taylor expansion of x in x 0.717 * * * [progress]: simplifying candidates 0.717 * [simplify]: Simplifying using # : (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (+ (log (sqrt (- x 1.0))) (log (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt (- x 1.0))) (sqrt (- x 1.0))) (* (* (sqrt x) (sqrt x)) (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))) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (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)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (- x 1.0)) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (sqrt 1)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) 1) (* (cbrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (- (+ (* 2 (* (pow x 3) (pow NAN 5))) (+ (* x NAN) (* (pow x 2) NAN))) (+ (* (pow x 2) (pow NAN 3)) (* 2 (* (pow x 3) (pow NAN 3))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ (* 3.0 (/ (pow NAN 4) (pow x 2))) (+ (* 4 (/ (pow NAN 6) (pow x 2))) (pow NAN 2))) (+ (* 1.0 (/ (pow NAN 2) x)) (* 2 (/ (pow NAN 4) x)))) 0.739 * * [simplify]: iteration 0 : 5093 enodes (cost 370 ) 0.741 * [simplify]: Simplified to: (* x (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt x)) (* x (- x 1.0)) (log (* (sqrt (- x 1.0)) (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (pow (exp (sqrt (- x 1.0))) (sqrt x)) (pow (* (sqrt (- x 1.0)) (sqrt x)) 3) (* (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) (* x (- x 1.0)) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (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)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (- x 1.0)) (fabs (cbrt x))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt x) (cbrt (sqrt (- x 1.0)))) (* (sqrt x) (sqrt (cbrt (- x 1.0)))) (* (sqrt x) (sqrt (sqrt (- x 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt x) (sqrt (- (sqrt x) (sqrt 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt x) (sqrt (sqrt (- x 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt x) (sqrt (- (pow x 3) (pow 1.0 3)))) (* (sqrt x) (sqrt (- (* x x) (* 1.0 1.0)))) (+ (* x (+ NAN (* x (- NAN (pow NAN 3))))) (* (* (pow x 3) 2) (- (pow NAN 5) (pow NAN 3)))) (- x (+ 0.5 (/ 0.125 x))) (+ (* 4 (/ (pow NAN 6) (* x x))) (+ (* NAN NAN) (- (* (/ (pow NAN 4) x) (- (/ 3.0 x) 2)) (* 1.0 (* (/ NAN x) NAN))))) 0.741 * * * [progress]: adding candidates to table 0.804 * * [progress]: iteration 2 / 4 0.804 * * * [progress]: picking best candidate 0.811 * * * * [pick]: Picked # 0.811 * * * [progress]: localizing error 0.819 * * * [progress]: generating rewritten candidates 0.819 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.839 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.847 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.861 * * * [progress]: generating series expansions 0.861 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.861 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.861 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.861 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.861 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of 1.0 in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.861 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.861 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of 1.0 in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.863 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.863 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.863 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.863 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of 1.0 in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.863 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.863 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of 1.0 in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.864 * [approximate]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.864 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.864 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.864 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.864 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.864 * [taylor]: Taking taylor expansion of 1.0 in x 0.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.864 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.864 * [taylor]: Taking taylor expansion of -1 in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.864 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.864 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.864 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.864 * [taylor]: Taking taylor expansion of 1.0 in x 0.864 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.864 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.864 * [taylor]: Taking taylor expansion of -1 in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.868 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.868 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.868 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.868 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.868 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of 1.0 in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.868 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.868 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of 1.0 in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.869 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.869 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.869 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.870 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of 1.0 in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.870 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.870 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [taylor]: Taking taylor expansion of 1.0 in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.870 * [approximate]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.870 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.870 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.870 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.870 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.870 * [taylor]: Taking taylor expansion of 1.0 in x 0.870 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.870 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.871 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.871 * [taylor]: Taking taylor expansion of -1 in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.871 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.871 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.871 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.871 * [taylor]: Taking taylor expansion of 1.0 in x 0.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.871 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.871 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.871 * [taylor]: Taking taylor expansion of -1 in x 0.871 * [taylor]: Taking taylor expansion of x in x 0.874 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.875 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.875 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.875 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.875 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of 1.0 in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.875 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.875 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.875 * [taylor]: Taking taylor expansion of 1.0 in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.876 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.876 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.876 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.876 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of 1.0 in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.876 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.876 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of 1.0 in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.877 * [approximate]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.877 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.877 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.877 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.877 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.877 * [taylor]: Taking taylor expansion of 1.0 in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.877 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.877 * [taylor]: Taking taylor expansion of -1 in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.877 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.877 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.877 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.877 * [taylor]: Taking taylor expansion of 1.0 in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.877 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.877 * [taylor]: Taking taylor expansion of -1 in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.881 * * * [progress]: simplifying candidates 0.883 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ 1 2) (/ 1 2)) (* (* (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)))) (* (* (- x 1.0) x) (* (- x 1.0) 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))) (* (* (- x 1.0) x) (* (- x 1.0) 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 1) (+ (log (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (log (sqrt (* (sqrt (- x 1.0)) (sqrt x))))) (log (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))))) (exp (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))))) (* (* (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (* (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))))) (* (cbrt (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))))) (cbrt (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x)))))) (cbrt (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))))) (* (* (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))))) (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))))) (* (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))))) (sqrt (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))))) (* (sqrt (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x))) (sqrt (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)))) (* (sqrt (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))) (* (sqrt (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x))) (sqrt (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)))) (* (sqrt (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0))))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x))) (sqrt (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))))) (* (sqrt (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x))) (sqrt (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)))) (* (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0)))) (* (* (cbrt (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (sqrt (* (sqrt (- x 1.0)) (sqrt x))))) (* (cbrt (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (sqrt (* (sqrt (- x 1.0)) (sqrt x)))))) (* (cbrt (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (sqrt (* (sqrt (- x 1.0)) (sqrt x))))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt (- x 1.0)))) (* (sqrt (sqrt x)) (sqrt (sqrt x))) (* (sqrt (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (sqrt (sqrt (* (sqrt (- x 1.0)) (sqrt x))))) (* (sqrt (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (sqrt (sqrt (* (sqrt (- x 1.0)) (sqrt x))))) (* 1 1) (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (* (sqrt (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (sqrt (sqrt (* (sqrt (- x 1.0)) (sqrt x))))) (* (sqrt (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (sqrt (sqrt (* (sqrt (- x 1.0)) (sqrt x))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* 2 (/ 1 2)) (* 2 (/ 1 2)) (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (cbrt (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (sqrt (* (sqrt (- x 1.0)) (sqrt x)))))) (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (sqrt (- x 1.0)))) (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (sqrt (* (sqrt (- x 1.0)) (sqrt x))))) (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) 1) (* (cbrt (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (* (sqrt (sqrt x)) (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (* (sqrt (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)))) (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)))) (* (sqrt (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (* (sqrt (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (+ (log (sqrt (- x 1.0))) (log (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt (- x 1.0))) (sqrt (- x 1.0))) (* (* (sqrt x) (sqrt x)) (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))) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (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)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (- x 1.0)) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (sqrt 1)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) 1) (* (cbrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (+ (log (sqrt (- x 1.0))) (log (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt (- x 1.0))) (sqrt (- x 1.0))) (* (* (sqrt x) (sqrt x)) (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))) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (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)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (- x 1.0)) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (sqrt 1)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) 1) (* (cbrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (- (+ (* 2 (* (pow x 3) (pow NAN 5))) (+ (* x NAN) (* (pow x 2) NAN))) (+ (* (pow x 2) (pow NAN 3)) (* 2 (* (pow x 3) (pow NAN 3))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ (* 3.0 (/ (pow NAN 4) (pow x 2))) (+ (* 4 (/ (pow NAN 6) (pow x 2))) (pow NAN 2))) (+ (* 1.0 (/ (pow NAN 2) x)) (* 2 (/ (pow NAN 4) x)))) (- (+ (* 2 (* (pow x 3) (pow NAN 5))) (+ (* x NAN) (* (pow x 2) NAN))) (+ (* (pow x 2) (pow NAN 3)) (* 2 (* (pow x 3) (pow NAN 3))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ (* 3.0 (/ (pow NAN 4) (pow x 2))) (+ (* 4 (/ (pow NAN 6) (pow x 2))) (pow NAN 2))) (+ (* 1.0 (/ (pow NAN 2) x)) (* 2 (/ (pow NAN 4) x)))) (- (+ (* 2 (* (pow x 3) (pow NAN 5))) (+ (* x NAN) (* (pow x 2) NAN))) (+ (* (pow x 2) (pow NAN 3)) (* 2 (* (pow x 3) (pow NAN 3))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ (* 3.0 (/ (pow NAN 4) (pow x 2))) (+ (* 4 (/ (pow NAN 6) (pow x 2))) (pow NAN 2))) (+ (* 1.0 (/ (pow NAN 2) x)) (* 2 (/ (pow NAN 4) x)))) 0.911 * * [simplify]: iteration 0 : 4989 enodes (cost 1331 ) 0.911 * * [simplify]: iteration 1 : 4989 enodes (cost 1331 ) 0.916 * [simplify]: Simplified to: 1 1 1 2 1/2 1/2 1 1 1 1/2 1/2 1 1 1 (* x (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt x)) (pow (* (sqrt (- x 1.0)) (sqrt x)) 4) (* x (- x 1.0)) (* x (- x 1.0)) (pow (* (sqrt (- x 1.0)) (sqrt x)) 4) (* x (- x 1.0)) (* x (- x 1.0)) 2 (log (* (sqrt (- x 1.0)) (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (pow (exp (sqrt (- x 1.0))) (sqrt x)) (pow (* (sqrt (- x 1.0)) (sqrt x)) 3) (* (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) (* x (- x 1.0)) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt x) (sqrt (- (pow x 3) (pow 1.0 3)))) (sqrt (+ (* x x) (* 1.0 (+ x 1.0)))) (* (sqrt (* (sqrt x) (sqrt (- (pow x 3) (pow 1.0 3))))) (sqrt (* (sqrt x) (sqrt (- (* x x) (* 1.0 1.0)))))) (* (sqrt (sqrt (+ (* x x) (* 1.0 (+ x 1.0))))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt (* (sqrt x) (sqrt (- (pow x 3) (pow 1.0 3))))) (sqrt (* (sqrt x) (sqrt (- (* x x) (* 1.0 1.0)))))) (* (sqrt (sqrt (+ (* x x) (* 1.0 (+ x 1.0))))) (sqrt (sqrt (+ x 1.0)))) (* (sqrt x) (sqrt (- (* x x) (* 1.0 1.0)))) (sqrt (+ x 1.0)) (pow (cbrt (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) 4) (* (cbrt (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (sqrt (* (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))) 1 (* (sqrt (- x 1.0)) (sqrt x)) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) 1 2 1/2 1 1 1/2 1 1 (pow (cbrt (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) 5) (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (sqrt (- x 1.0)))) (pow (sqrt (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) 3) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (pow (cbrt (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) 4) (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (sqrt x))) (pow (sqrt (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) 3) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt x) (sqrt (- (pow x 3) (pow 1.0 3)))))) (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt x) (sqrt (- (* x x) (* 1.0 1.0)))))) (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt x) (sqrt (- (pow x 3) (pow 1.0 3)))))) (* (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt x) (sqrt (- (* x x) (* 1.0 1.0)))))) (* x (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt x)) (* x (- x 1.0)) (log (* (sqrt (- x 1.0)) (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (pow (exp (sqrt (- x 1.0))) (sqrt x)) (pow (* (sqrt (- x 1.0)) (sqrt x)) 3) (* (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) (* x (- x 1.0)) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (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)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (- x 1.0)) (fabs (cbrt x))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt x) (cbrt (sqrt (- x 1.0)))) (* (sqrt x) (sqrt (cbrt (- x 1.0)))) (* (sqrt x) (sqrt (sqrt (- x 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt x) (sqrt (- (sqrt x) (sqrt 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt x) (sqrt (sqrt (- x 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt x) (sqrt (- (pow x 3) (pow 1.0 3)))) (* (sqrt x) (sqrt (- (* x x) (* 1.0 1.0)))) (* x (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt x)) (* x (- x 1.0)) (log (* (sqrt (- x 1.0)) (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (pow (exp (sqrt (- x 1.0))) (sqrt x)) (pow (* (sqrt (- x 1.0)) (sqrt x)) 3) (* (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) (* x (- x 1.0)) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (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)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (- x 1.0)) (fabs (cbrt x))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt x) (cbrt (sqrt (- x 1.0)))) (* (sqrt x) (sqrt (cbrt (- x 1.0)))) (* (sqrt x) (sqrt (sqrt (- x 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt x) (sqrt (- (sqrt x) (sqrt 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt x) (sqrt (sqrt (- x 1.0)))) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt x) (sqrt (- (pow x 3) (pow 1.0 3)))) (* (sqrt x) (sqrt (- (* x x) (* 1.0 1.0)))) (+ (* x (+ NAN (* x (- NAN (pow NAN 3))))) (* (* 2 (pow x 3)) (- (pow NAN 5) (pow NAN 3)))) (- x (+ 0.5 (/ 0.125 x))) (+ (* 4 (/ (pow NAN 6) (* x x))) (+ (* NAN NAN) (- (* (/ (pow NAN 4) x) (- (/ 3.0 x) 2)) (* 1.0 (* (/ NAN x) NAN))))) (+ (* x (+ NAN (* x (- NAN (pow NAN 3))))) (* (* 2 (pow x 3)) (- (pow NAN 5) (pow NAN 3)))) (- x (+ 0.5 (/ 0.125 x))) (+ (* 4 (/ (pow NAN 6) (* x x))) (+ (* NAN NAN) (- (* (/ (pow NAN 4) x) (- (/ 3.0 x) 2)) (* 1.0 (* (/ NAN x) NAN))))) (+ (* x (+ NAN (* x (- NAN (pow NAN 3))))) (* (* 2 (pow x 3)) (- (pow NAN 5) (pow NAN 3)))) (- x (+ 0.5 (/ 0.125 x))) (+ (* 4 (/ (pow NAN 6) (* x x))) (+ (* NAN NAN) (- (* (/ (pow NAN 4) x) (- (/ 3.0 x) 2)) (* 1.0 (* (/ NAN x) NAN))))) 0.917 * * * [progress]: adding candidates to table 1.089 * * [progress]: iteration 3 / 4 1.089 * * * [progress]: picking best candidate 1.094 * * * * [pick]: Picked # 1.094 * * * [progress]: localizing error 1.099 * * * [progress]: generating rewritten candidates 1.099 * * * [progress]: generating series expansions 1.099 * * * [progress]: simplifying candidates 1.099 * [simplify]: Simplifying using # : 1.101 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.101 * [simplify]: Simplified to: 1.101 * * * [progress]: adding candidates to table 1.101 * * [progress]: iteration 4 / 4 1.101 * * * [progress]: picking best candidate 1.103 * * * * [pick]: Picked # 1.103 * * * [progress]: localizing error 1.107 * * * [progress]: generating rewritten candidates 1.107 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.112 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.118 * * * [progress]: generating series expansions 1.119 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.119 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 1.119 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 1.119 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 1.119 * [taylor]: Taking taylor expansion of (- x 1.0) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of 1.0 in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 1.119 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 1.119 * [taylor]: Taking taylor expansion of (- x 1.0) in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.119 * [taylor]: Taking taylor expansion of 1.0 in x 1.119 * [taylor]: Taking taylor expansion of x in x 1.120 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 1.120 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 1.120 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 1.120 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 1.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.120 * [taylor]: Taking taylor expansion of 1.0 in x 1.120 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 1.121 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 1.121 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of 1.0 in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.121 * [approximate]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in (x) around 0 1.121 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 1.121 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 1.121 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.121 * [taylor]: Taking taylor expansion of 1.0 in x 1.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of x in x 1.121 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 1.121 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 1.121 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.121 * [taylor]: Taking taylor expansion of 1.0 in x 1.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * [taylor]: Taking taylor expansion of x in x 1.122 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.122 * [approximate]: Taking taylor expansion of (* (- x 1.0) x) in (x) around 0 1.122 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 1.122 * [taylor]: Taking taylor expansion of (- x 1.0) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 1.123 * [taylor]: Taking taylor expansion of (- x 1.0) in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [taylor]: Taking taylor expansion of 1.0 in x 1.123 * [taylor]: Taking taylor expansion of x in x 1.123 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in (x) around 0 1.123 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 1.123 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 1.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of 1.0 in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 1.124 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 1.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.124 * [taylor]: Taking taylor expansion of 1.0 in x 1.124 * [taylor]: Taking taylor expansion of x in x 1.125 * [approximate]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in (x) around 0 1.125 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 1.125 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.125 * [taylor]: Taking taylor expansion of 1.0 in x 1.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.125 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 1.125 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.125 * [taylor]: Taking taylor expansion of 1.0 in x 1.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.127 * * * [progress]: simplifying candidates 1.127 * [simplify]: Simplifying using # : (log (sqrt (* x (- x 1.0)))) (exp (sqrt (* x (- x 1.0)))) (* (cbrt (sqrt (* x (- x 1.0)))) (cbrt (sqrt (* x (- x 1.0))))) (cbrt (sqrt (* x (- x 1.0)))) (* (* (sqrt (* x (- x 1.0))) (sqrt (* x (- x 1.0)))) (sqrt (* x (- x 1.0)))) (sqrt x) (sqrt (- x 1.0)) (sqrt (* x (- (pow x 3) (pow 1.0 3)))) (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (sqrt (* x (- (* x x) (* 1.0 1.0)))) (sqrt (+ x 1.0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* x (- x 1.0)))) (sqrt (sqrt (* x (- x 1.0)))) (* x (- x 1.0)) (+ (log x) (log (- x 1.0))) (log (* x (- x 1.0))) (exp (* x (- x 1.0))) (* (* (* x x) x) (* (* (- x 1.0) (- x 1.0)) (- x 1.0))) (* (cbrt (* x (- x 1.0))) (cbrt (* x (- x 1.0)))) (cbrt (* x (- x 1.0))) (* (* (* x (- x 1.0)) (* x (- x 1.0))) (* x (- x 1.0))) (sqrt (* x (- x 1.0))) (sqrt (* x (- x 1.0))) (* (sqrt x) (sqrt (- x 1.0))) (* (sqrt x) (sqrt (- x 1.0))) (* x x) (* x (neg 1.0)) (* x x) (* (neg 1.0) x) (* x (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))) (* x (sqrt (- x 1.0))) (* x 1) (* x (+ (sqrt x) (sqrt 1.0))) (* x 1) (* (cbrt x) (- x 1.0)) (* (sqrt x) (- x 1.0)) (* x (- x 1.0)) (* x (- (pow x 3) (pow 1.0 3))) (* x (- (* x x) (* 1.0 1.0))) (- (+ (* 2 (* (pow x 3) (pow NAN 5))) (+ (* x NAN) (* (pow x 2) NAN))) (+ (* (pow x 2) (pow NAN 3)) (* 2 (* (pow x 3) (pow NAN 3))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ 0.5 (* 0.125 (/ 1 x))) x) (- (pow x 2) (* 1.0 x)) (- (pow x 2) (* 1.0 x)) (- (pow x 2) (* 1.0 x)) 1.168 * * [simplify]: iteration 0 : 5047 enodes (cost 311 ) 1.170 * [simplify]: Simplified to: (log (sqrt (* x (- x 1.0)))) (exp (sqrt (* x (- x 1.0)))) (* (cbrt (sqrt (* x (- x 1.0)))) (cbrt (sqrt (* x (- x 1.0))))) (cbrt (sqrt (* x (- x 1.0)))) (pow (sqrt (* x (- x 1.0))) 3) (sqrt x) (sqrt (- x 1.0)) (sqrt (* x (- (pow x 3) (pow 1.0 3)))) (sqrt (+ (* x x) (* 1.0 (+ x 1.0)))) (sqrt (* x (- (* x x) (* 1.0 1.0)))) (sqrt (+ x 1.0)) 1/2 1/2 (sqrt (sqrt (* x (- x 1.0)))) (sqrt (sqrt (* x (- x 1.0)))) (* x (- x 1.0)) (log (* x (- x 1.0))) (log (* x (- x 1.0))) (pow (exp x) (- x 1.0)) (pow (* x (- x 1.0)) 3) (* (cbrt (* x (- x 1.0))) (cbrt (* x (- x 1.0)))) (cbrt (* x (- x 1.0))) (pow (* x (- x 1.0)) 3) (sqrt (* x (- x 1.0))) (sqrt (* x (- x 1.0))) (* (sqrt x) (sqrt (- x 1.0))) (* (sqrt x) (sqrt (- x 1.0))) (* x x) (* x (neg 1.0)) (* x x) (* x (neg 1.0)) (* x (* (cbrt (- x 1.0)) (cbrt (- x 1.0)))) (* x (sqrt (- x 1.0))) x (* x (+ (sqrt x) (sqrt 1.0))) x (* (- x 1.0) (cbrt x)) (* (- x 1.0) (sqrt x)) (* x (- x 1.0)) (* x (- (pow x 3) (pow 1.0 3))) (* x (- (* x x) (* 1.0 1.0))) (+ (* x (+ NAN (* x (- NAN (pow NAN 3))))) (* (* (pow x 3) 2) (- (pow NAN 5) (pow NAN 3)))) (- x (+ 0.5 (/ 0.125 x))) (+ 0.5 (- (/ 0.125 x) x)) (* x (- x 1.0)) (* x (- x 1.0)) (* x (- x 1.0)) 1.170 * * * [progress]: adding candidates to table 1.217 * [progress]: [Phase 3 of 3] Extracting. 1.217 * * [regime]: Finding splitpoints for: (# # #) 1.218 * * * [regime-changes]: Trying 2 branch expressions: ((* (sqrt (- x 1.0)) (sqrt x)) x) 1.218 * * * * [regimes]: Trying to branch on (* (sqrt (- x 1.0)) (sqrt x)) from (# # #) 1.256 * * * * [regimes]: Trying to branch on x from (# # #) 1.286 * * * [regime]: Found split indices: #