0.754 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.317 * * * [progress]: [2/2] Setting up program. 0.321 * [progress]: [Phase 2 of 3] Improving. 0.323 * [simplify]: Simplifying using # : (* (sqrt (- x 1.0)) (sqrt x)) 0.328 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.329 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.331 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.331 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.333 * * [progress]: iteration 1 / 4 0.333 * * * [progress]: picking best candidate 0.335 * * * * [pick]: Picked # 0.335 * * * [progress]: localizing error 0.343 * * * [progress]: generating rewritten candidates 0.343 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.379 * * * [progress]: generating series expansions 0.380 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.384 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.385 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.385 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.385 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.392 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.392 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of 1.0 in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.405 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.405 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.405 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.405 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of 1.0 in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.410 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.410 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [taylor]: Taking taylor expansion of 1.0 in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.418 * [approximate]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.418 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.418 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.418 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.418 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.418 * [taylor]: Taking taylor expansion of 1.0 in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.420 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.420 * [taylor]: Taking taylor expansion of -1 in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.422 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.422 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.422 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.422 * [taylor]: Taking taylor expansion of 1.0 in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.424 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.424 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.424 * [taylor]: Taking taylor expansion of -1 in x 0.424 * [taylor]: Taking taylor expansion of x in x 0.451 * * * [progress]: simplifying candidates 0.452 * [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)) (neg (+ (* +nan.0 (pow x 2)) (neg (+ (* +nan.0 (pow x 3)) (neg (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (neg (+ (* +nan.0 (/ 1 (pow x 2))) (neg (+ (* +nan.0 (/ 1 x)) (neg +nan.0))))) 0.456 * * [simplify]: iteration 0 : 181 enodes (cost 216 ) 0.459 * * [simplify]: iteration 1 : 610 enodes (cost 206 ) 0.471 * * [simplify]: iteration 2 : 2471 enodes (cost 201 ) 0.525 * * [simplify]: iteration 3 : 5002 enodes (cost 201 ) 0.526 * [simplify]: Simplified to: (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (log (* (sqrt (- x 1.0)) (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (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 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)))) (* (fabs (cbrt x)) (sqrt (- x 1.0))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (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)) (* +nan.0 (+ (neg (pow x 2)) (- (pow x 3) x))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) 0.526 * * * [progress]: adding candidates to table 0.590 * * [progress]: iteration 2 / 4 0.590 * * * [progress]: picking best candidate 0.594 * * * * [pick]: Picked # 0.594 * * * [progress]: localizing error 0.602 * * * [progress]: generating rewritten candidates 0.602 * * * [progress]: generating series expansions 0.602 * * * [progress]: simplifying candidates 0.602 * [simplify]: Simplifying using # : 0.604 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.604 * [simplify]: Simplified to: 0.604 * * * [progress]: adding candidates to table 0.605 * * [progress]: iteration 3 / 4 0.605 * * * [progress]: picking best candidate 0.608 * * * * [pick]: Picked # 0.608 * * * [progress]: localizing error 0.616 * * * [progress]: generating rewritten candidates 0.616 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.636 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.645 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 0.654 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.667 * * * [progress]: generating series expansions 0.667 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.668 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.668 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.668 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.668 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of 1.0 in x 0.668 * [taylor]: Taking taylor expansion of x in x 0.672 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.672 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.672 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.673 * [taylor]: Taking taylor expansion of 1.0 in x 0.673 * [taylor]: Taking taylor expansion of x in x 0.684 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.684 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.684 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.684 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.684 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of 1.0 in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.693 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.693 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.693 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.693 * [taylor]: Taking taylor expansion of 1.0 in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.701 * [approximate]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.701 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.701 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.701 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.701 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.701 * [taylor]: Taking taylor expansion of 1.0 in x 0.701 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.701 * [taylor]: Taking taylor expansion of x in x 0.703 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.703 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.703 * [taylor]: Taking taylor expansion of -1 in x 0.703 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.704 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.704 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.704 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.704 * [taylor]: Taking taylor expansion of 1.0 in x 0.704 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.706 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.706 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.706 * [taylor]: Taking taylor expansion of -1 in x 0.706 * [taylor]: Taking taylor expansion of x in x 0.734 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.734 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.734 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.734 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.734 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of 1.0 in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.738 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.738 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.738 * [taylor]: Taking taylor expansion of 1.0 in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.748 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.748 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.748 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.748 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.749 * [taylor]: Taking taylor expansion of 1.0 in x 0.749 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.753 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.753 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of 1.0 in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.761 * [approximate]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.761 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.761 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.761 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.761 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.761 * [taylor]: Taking taylor expansion of 1.0 in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.763 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.763 * [taylor]: Taking taylor expansion of -1 in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.764 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.764 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.764 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.764 * [taylor]: Taking taylor expansion of 1.0 in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.768 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.768 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.769 * [taylor]: Taking taylor expansion of -1 in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.796 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 0.796 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.796 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.796 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.796 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of 1.0 in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.800 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.800 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of 1.0 in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.811 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.811 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.811 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.811 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.811 * [taylor]: Taking taylor expansion of 1.0 in x 0.811 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.815 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.815 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of 1.0 in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.823 * [approximate]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.823 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.823 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.823 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.823 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.823 * [taylor]: Taking taylor expansion of 1.0 in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.825 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.825 * [taylor]: Taking taylor expansion of -1 in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.827 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.827 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.827 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.827 * [taylor]: Taking taylor expansion of 1.0 in x 0.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.827 * [taylor]: Taking taylor expansion of x in x 0.829 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.829 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.829 * [taylor]: Taking taylor expansion of -1 in x 0.829 * [taylor]: Taking taylor expansion of x in x 0.859 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.859 * [approximate]: Taking taylor expansion of (pow (* (- x 1.0) x) 1/4) in (x) around 0 0.860 * [taylor]: Taking taylor expansion of (pow (* (- x 1.0) x) 1/4) in x 0.860 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* (- x 1.0) x)))) in x 0.860 * [taylor]: Taking taylor expansion of (* 1/4 (log (* (- x 1.0) x))) in x 0.860 * [taylor]: Taking taylor expansion of 1/4 in x 0.860 * [taylor]: Taking taylor expansion of (log (* (- x 1.0) x)) in x 0.860 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.860 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of 1.0 in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of (pow (* (- x 1.0) x) 1/4) in x 0.865 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (* (- x 1.0) x)))) in x 0.865 * [taylor]: Taking taylor expansion of (* 1/4 (log (* (- x 1.0) x))) in x 0.865 * [taylor]: Taking taylor expansion of 1/4 in x 0.865 * [taylor]: Taking taylor expansion of (log (* (- x 1.0) x)) in x 0.865 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.865 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.865 * [taylor]: Taking taylor expansion of 1.0 in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.904 * [approximate]: Taking taylor expansion of (pow (/ (- (/ 1 x) 1.0) x) 1/4) in (x) around 0 0.904 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 x) 1.0) x) 1/4) in x 0.904 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (- (/ 1 x) 1.0) x)))) in x 0.904 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (- (/ 1 x) 1.0) x))) in x 0.904 * [taylor]: Taking taylor expansion of 1/4 in x 0.904 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 x) 1.0) x)) in x 0.904 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.904 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of 1.0 in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 x) 1.0) x) 1/4) in x 0.905 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ (- (/ 1 x) 1.0) x)))) in x 0.905 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ (- (/ 1 x) 1.0) x))) in x 0.905 * [taylor]: Taking taylor expansion of 1/4 in x 0.905 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 x) 1.0) x)) in x 0.905 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.905 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of 1.0 in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.932 * [approximate]: Taking taylor expansion of (sqrt (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) in (x) around 0 0.932 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) in x 0.932 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.932 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.932 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.932 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.932 * [taylor]: Taking taylor expansion of 1.0 in x 0.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.934 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.934 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.934 * [taylor]: Taking taylor expansion of -1 in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of (sqrt (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x)))) in x 0.952 * [taylor]: Taking taylor expansion of (* (sqrt (neg (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.952 * [taylor]: Taking taylor expansion of (sqrt (neg (+ 1.0 (/ 1 x)))) in x 0.952 * [taylor]: Taking taylor expansion of (neg (+ 1.0 (/ 1 x))) in x 0.952 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.952 * [taylor]: Taking taylor expansion of 1.0 in x 0.953 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.954 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.954 * [taylor]: Taking taylor expansion of -1 in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.995 * * * [progress]: simplifying candidates 0.997 * [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)) (log (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (exp (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 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 (- (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))) (sqrt x))) (sqrt (sqrt (+ x 1.0))) (/ 1/2 2) (/ 1 2) (/ (/ 1 2) 2) (/ 1 2) (sqrt (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (sqrt (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (neg (+ (* +nan.0 (pow x 2)) (neg (+ (* +nan.0 (pow x 3)) (neg (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (neg (+ (* +nan.0 (/ 1 (pow x 2))) (neg (+ (* +nan.0 (/ 1 x)) (neg +nan.0))))) (neg (+ (* +nan.0 (pow x 2)) (neg (+ (* +nan.0 (pow x 3)) (neg (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (neg (+ (* +nan.0 (/ 1 (pow x 2))) (neg (+ (* +nan.0 (/ 1 x)) (neg +nan.0))))) (neg (+ (* +nan.0 (pow x 2)) (neg (+ (* +nan.0 (pow x 3)) (neg (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (neg (+ (* +nan.0 (/ 1 (pow x 2))) (neg (+ (* +nan.0 (/ 1 x)) (neg +nan.0))))) (- (+ (* 0.03125 (* (pow x 2) (exp (* 1/4 (+ (log x) (log (neg 1.0))))))) (exp (* 1/4 (+ (log x) (log (neg 1.0)))))) (+ (* 0.25 (* x (exp (* 1/4 (+ (log x) (log (neg 1.0))))))) (* 1/8 (/ (* (pow x 2) (exp (* 1/4 (+ (log x) (log (neg 1.0)))))) (pow -1.0 2))))) (- (pow (/ 1 x) -1/2) (+ (* 0.25 (sqrt (/ 1 x))) (* 0.09375 (sqrt (/ 1 (pow x 3)))))) (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) x))) (neg (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2)))) (neg (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow x 2))))))))) 1.004 * * [simplify]: iteration 0 : 421 enodes (cost 960 ) 1.012 * * [simplify]: iteration 1 : 1862 enodes (cost 890 ) 1.054 * * [simplify]: iteration 2 : 5002 enodes (cost 878 ) 1.062 * [simplify]: Simplified to: 1 1 1 2 1/2 1/2 1 1 1 1/2 1/2 1 1 1 (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (* (- x 1.0) x) (* (- x 1.0) x)) (* (- x 1.0) x) (* (- x 1.0) x) (* (* (- x 1.0) x) (* (- x 1.0) x)) (* (- x 1.0) x) (* (- x 1.0) x) 2 (log (* (sqrt (- x 1.0)) (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (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 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (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 (- (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 (- (* x x) (* 1.0 1.0))) (sqrt x)) (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 (* (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)))) (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)) (sqrt (* (sqrt (- x 1.0)) (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 (- (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))) (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)))) (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (log (* (sqrt (- x 1.0)) (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (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 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)))) (* (fabs (cbrt x)) (sqrt (- x 1.0))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (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)) (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (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 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)))) (* (fabs (cbrt x)) (sqrt (- x 1.0))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (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)) (log (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (exp (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)))) (pow (sqrt (* (sqrt (- x 1.0)) (sqrt x))) 3) (sqrt (sqrt (- x 1.0))) (sqrt (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))) (sqrt x))) (sqrt (sqrt (+ x 1.0))) 1/4 1/2 1/4 1/2 (sqrt (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (sqrt (sqrt (* (sqrt (- x 1.0)) (sqrt x)))) (+ (* +nan.0 (- (pow x 3) x)) (neg (* +nan.0 (pow x 2)))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (neg +nan.0) (pow x 2))) (+ (* +nan.0 (- (pow x 3) x)) (neg (* +nan.0 (pow x 2)))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (neg +nan.0) (pow x 2))) (+ (* +nan.0 (- (pow x 3) x)) (neg (* +nan.0 (pow x 2)))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (+ (- (* +nan.0 (/ 1 x)) +nan.0) (/ (neg +nan.0) (pow x 2))) (- (- (* (+ (* 0.03125 (pow x 2)) 1) (exp (* 1/4 (+ (log x) (log (neg 1.0)))))) (* 1/8 (/ (* (pow x 2) (exp (* 1/4 (+ (log x) (log (neg 1.0)))))) (pow -1.0 2)))) (* 0.25 (* x (exp (* 1/4 (+ (log x) (log (neg 1.0)))))))) (- (pow (/ 1 x) -1/2) (+ (* 0.25 (sqrt (/ 1 x))) (* 0.09375 (sqrt (/ 1 (pow x 3)))))) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) x)))) (* +nan.0 (+ (/ 1 (* (pow (sqrt +nan.0) 3) (pow x 2))) (/ -1 (* (sqrt +nan.0) (pow x 2)))))) 1.063 * * * [progress]: adding candidates to table 1.316 * * [progress]: iteration 4 / 4 1.316 * * * [progress]: picking best candidate 1.318 * * * * [pick]: Picked # 1.318 * * * [progress]: localizing error 1.322 * * * [progress]: generating rewritten candidates 1.322 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 1.329 * * * [progress]: generating series expansions 1.329 * * * * [progress]: [ 1 / 1 ] generating series at (2) 1.329 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 1.329 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 1.329 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 1.329 * [taylor]: Taking taylor expansion of (- x 1.0) in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.329 * [taylor]: Taking taylor expansion of 1.0 in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.334 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 1.334 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 1.334 * [taylor]: Taking taylor expansion of (- x 1.0) in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.334 * [taylor]: Taking taylor expansion of 1.0 in x 1.334 * [taylor]: Taking taylor expansion of x in x 1.344 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 1.344 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 1.344 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 1.344 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 1.344 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.344 * [taylor]: Taking taylor expansion of x in x 1.344 * [taylor]: Taking taylor expansion of 1.0 in x 1.344 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 1.348 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 1.348 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 1.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.348 * [taylor]: Taking taylor expansion of x in x 1.349 * [taylor]: Taking taylor expansion of 1.0 in x 1.349 * [taylor]: Taking taylor expansion of x in x 1.356 * [approximate]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in (x) around 0 1.356 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 1.356 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 1.356 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.356 * [taylor]: Taking taylor expansion of 1.0 in x 1.357 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.357 * [taylor]: Taking taylor expansion of x in x 1.360 * [taylor]: Taking taylor expansion of (sqrt (/ (+ 1.0 (/ 1 x)) x)) in x 1.360 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 1.360 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.360 * [taylor]: Taking taylor expansion of 1.0 in x 1.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.360 * [taylor]: Taking taylor expansion of x in x 1.360 * [taylor]: Taking taylor expansion of x in x 1.367 * * * [progress]: simplifying candidates 1.367 * [simplify]: Simplifying using # : (log (sqrt (* (- x 1.0) x))) (exp (sqrt (* (- x 1.0) x))) (* (cbrt (sqrt (* (- x 1.0) x))) (cbrt (sqrt (* (- x 1.0) x)))) (cbrt (sqrt (* (- x 1.0) x))) (* (* (sqrt (* (- x 1.0) x)) (sqrt (* (- x 1.0) x))) (sqrt (* (- x 1.0) x))) (sqrt (- x 1.0)) (sqrt x) (sqrt (* (- (pow x 3) (pow 1.0 3)) x)) (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (sqrt (* (- (* x x) (* 1.0 1.0)) x)) (sqrt (+ x 1.0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (- x 1.0) x))) (sqrt (sqrt (* (- x 1.0) x))) (neg (+ (* +nan.0 (pow x 2)) (neg (+ (* +nan.0 (pow x 3)) (neg (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ 0.5 (* 0.125 (/ 1 x))) x) 1.370 * * [simplify]: iteration 0 : 111 enodes (cost 74 ) 1.372 * * [simplify]: iteration 1 : 281 enodes (cost 69 ) 1.377 * * [simplify]: iteration 2 : 983 enodes (cost 68 ) 1.399 * * [simplify]: iteration 3 : 3763 enodes (cost 66 ) 1.520 * * [simplify]: iteration 4 : 5001 enodes (cost 66 ) 1.521 * [simplify]: Simplified to: (log (sqrt (* (- x 1.0) x))) (exp (sqrt (* (- x 1.0) x))) (* (cbrt (sqrt (* (- x 1.0) x))) (cbrt (sqrt (* (- x 1.0) x)))) (cbrt (sqrt (* (- x 1.0) x))) (pow (sqrt (* (- x 1.0) x)) 3) (sqrt (- x 1.0)) (pow x 1/2) (sqrt (* (- (pow x 3) (pow 1.0 3)) x)) (sqrt (+ (* x x) (+ (* 1.0 1.0) (* x 1.0)))) (sqrt (* (- (* x x) (* 1.0 1.0)) x)) (sqrt (+ x 1.0)) 1/2 1/2 (sqrt (sqrt (* (- x 1.0) x))) (sqrt (sqrt (* (- x 1.0) x))) (* +nan.0 (- (- (pow x 3) x) (pow x 2))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (/ 0.125 x) (- x 0.5)) 1.521 * * * [progress]: adding candidates to table 1.545 * [progress]: [Phase 3 of 3] Extracting. 1.546 * * [regime]: Finding splitpoints for: (# # #) 1.546 * * * [regime-changes]: Trying 2 branch expressions: ((* (sqrt (- x 1.0)) (sqrt x)) x) 1.547 * * * * [regimes]: Trying to branch on (* (sqrt (- x 1.0)) (sqrt x)) from (# # #) 1.570 * * * * [regimes]: Trying to branch on x from (# # #) 1.582 * * * [regime]: Found split indices: #