0.826 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.034 * * * [progress]: [2/2] Setting up program. 0.038 * [progress]: [Phase 2 of 3] Improving. 0.041 * [simplify]: Simplifying using # : (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.686 * * [simplify]: iteration 0 : 21 enodes (cost 11 ) 0.686 * * [simplify]: iteration 1 : 21 enodes (cost 11 ) 0.687 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.688 * * [progress]: iteration 1 / 4 0.688 * * * [progress]: picking best candidate 0.691 * * * * [pick]: Picked # 0.691 * * * [progress]: localizing error 0.701 * * * [progress]: generating rewritten candidates 0.701 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.711 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.719 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.724 * * * [progress]: generating series expansions 0.724 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.729 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 0.729 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.729 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.730 * [taylor]: Taking taylor expansion of 1.0 in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of 1.0 in x 0.730 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.730 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.730 * [taylor]: Taking taylor expansion of 1.0 in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.730 * [taylor]: Taking taylor expansion of x in x 0.730 * [taylor]: Taking taylor expansion of 1.0 in x 0.732 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 0.732 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.732 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.732 * [taylor]: Taking taylor expansion of 1.0 in x 0.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of 1.0 in x 0.733 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.733 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.733 * [taylor]: Taking taylor expansion of 1.0 in x 0.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.733 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.733 * [taylor]: Taking taylor expansion of x in x 0.733 * [taylor]: Taking taylor expansion of 1.0 in x 0.734 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 0.734 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 x) 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 (- 1.0 (/ 1 x)) in x 0.734 * [taylor]: Taking taylor expansion of 1.0 in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.734 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 x) 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 (- 1.0 (/ 1 x)) in x 0.734 * [taylor]: Taking taylor expansion of 1.0 in x 0.734 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.734 * [taylor]: Taking taylor expansion of x in x 0.735 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.735 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.735 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.735 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.735 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.735 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.735 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of 1.0 in x 0.737 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.737 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.737 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.737 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.737 * [taylor]: Taking taylor expansion of 1.0 in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of 1.0 in x 0.737 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.737 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.737 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.737 * [taylor]: Taking taylor expansion of 1.0 in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of 1.0 in x 0.738 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.738 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.738 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) 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 1.0 in x 0.738 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.738 * [taylor]: Taking taylor expansion of 1.0 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 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.739 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of 1.0 in x 0.739 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.739 * [taylor]: Taking taylor expansion of 1.0 in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.740 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.740 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.740 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.741 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.741 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.741 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.741 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.742 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.742 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.742 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.742 * * * [progress]: simplifying candidates 0.744 * [simplify]: Simplifying using # : (- (log (- 1.0 x)) (log (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (/ (* (* (- 1.0 x) (- 1.0 x)) (- 1.0 x)) (* (* (+ 1.0 x) (+ 1.0 x)) (+ 1.0 x))) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (* (* (/ (- 1.0 x) (+ 1.0 x)) (/ (- 1.0 x) (+ 1.0 x))) (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (neg (- 1.0 x)) (neg (+ 1.0 x)) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) 1) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) 1) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 1) (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (/ (- 1.0 x) 1) (/ (- 1.0 x) 1) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (* (+ 1.0 x) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) 1)) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt 1) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (* (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (- (+ (* 2.0 (pow x 2)) 1.0) (* 2.0 x)) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (* 2.0 (/ 1 x)) (+ 1 (* 2.0 (/ 1 (pow x 2))))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) 0.790 * * [simplify]: iteration 0 : 5124 enodes (cost 1252 ) 0.811 * [simplify]: Simplified to: (log (/ (- 1.0 x) (+ 1.0 x))) (log (/ (- 1.0 x) (+ 1.0 x))) (exp (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (/ (- 1.0 x) (+ 1.0 x))) (pow (/ (- 1.0 x) (+ 1.0 x)) 3) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (- x 1.0) (- (neg 1.0) x) (/ 1.0 (+ 1.0 x)) (/ x (+ 1.0 x)) (* (cbrt (- 1.0 x)) (/ (cbrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x))) (* (cbrt (- 1.0 x)) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (/ (cbrt (- 1.0 x)) (+ 1.0 x)) (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (sqrt (- 1.0 x)) (/ (sqrt (- 1.0 x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x))) (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x))) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (+ (sqrt 1.0) (sqrt x)) (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x)) (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (cbrt (+ 1.0 x))) (/ 1 (sqrt (+ 1.0 x))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) 1 (/ (- 1.0 x) (+ 1.0 x)) 1 (/ (- 1.0 x) (+ 1.0 x)) (/ 1 (+ 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ (- 1.0 x) (sqrt (+ 1.0 x))) (- 1.0 x) (- 1.0 x) (/ (+ 1.0 x) (cbrt (- 1.0 x))) (/ (+ 1.0 x) (sqrt (- 1.0 x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- (sqrt 1.0) (sqrt x))) (/ (+ 1.0 x) (- 1.0 x)) (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (/ 1 (+ 1.0 x)) (* (+ 1.0 x) (+ (* 1.0 1.0) (* x (+ 1.0 x)))) (* (+ 1.0 x) (+ 1.0 x)) (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (exp (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3) (fabs (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (fabs (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (* (cbrt (- 1.0 x)) (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (fabs (cbrt (- 1.0 x))) (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) 1 (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (* x (- x 1.0)))) (sqrt (/ 1 (+ 1.0 x))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)) 1/2 (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (exp (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (* (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))))) (cbrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (pow (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 3) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (sqrt (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) (+ 1.0 (* x (* 2.0 (+ x -1)))) (+ (/ 2.0 x) (- -1 (/ 2.0 (* x x)))) (+ (/ 2.0 x) (- -1 (/ 2.0 (* x x)))) (+ (sqrt 1.0) (- (* (* (/ x (sqrt 1.0)) x) (- 1.0 (/ 0.5 1.0))) (* 1.0 (/ x (sqrt 1.0))))) (+ (sqrt -1) (- (/ 1.0 (* x (sqrt -1))) (* (/ 1 (* x (* x (sqrt -1)))) (+ 1.0 (/ 0.5 -1))))) (+ (sqrt -1) (- (/ 1.0 (* x (sqrt -1))) (* (/ 1 (* x (* x (sqrt -1)))) (+ 1.0 (/ 0.5 -1))))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 0.812 * * * [progress]: adding candidates to table 0.963 * * [progress]: iteration 2 / 4 0.963 * * * [progress]: picking best candidate 0.966 * * * * [pick]: Picked # 0.966 * * * [progress]: localizing error 0.974 * * * [progress]: generating rewritten candidates 0.974 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.977 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.983 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.993 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 1.000 * * * [progress]: generating series expansions 1.000 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.000 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 x)) in (x) around 0 1.000 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 1.000 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.000 * [taylor]: Taking taylor expansion of 1.0 in x 1.000 * [taylor]: Taking taylor expansion of x in x 1.001 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 1.001 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.001 * [taylor]: Taking taylor expansion of 1.0 in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.001 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.001 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.001 * [taylor]: Taking taylor expansion of 1.0 in x 1.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.002 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.002 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.002 * [taylor]: Taking taylor expansion of 1.0 in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.003 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 1.003 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.003 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of 1.0 in x 1.003 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.003 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.003 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.003 * [taylor]: Taking taylor expansion of x in x 1.003 * [taylor]: Taking taylor expansion of 1.0 in x 1.005 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.005 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 1.005 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.005 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.005 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 1.005 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.005 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.006 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 1.006 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.006 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.006 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.006 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.006 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.006 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.006 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.006 * [taylor]: Taking taylor expansion of 1.0 in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.006 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.006 * [taylor]: Taking taylor expansion of 1.0 in x 1.006 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.006 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.006 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.007 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.008 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.008 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.008 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.008 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.008 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.008 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.008 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.008 * [taylor]: Taking taylor expansion of x in x 1.008 * [taylor]: Taking taylor expansion of 1.0 in x 1.009 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.009 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.009 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.009 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of 1.0 in x 1.009 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.009 * [taylor]: Taking taylor expansion of 1.0 in x 1.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.009 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.009 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.009 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.010 * [taylor]: Taking taylor expansion of 1.0 in x 1.010 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.010 * [taylor]: Taking taylor expansion of 1.0 in x 1.010 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.010 * [taylor]: Taking taylor expansion of x in x 1.010 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.011 * [approximate]: Taking taylor expansion of (sqrt (+ x 1.0)) in (x) around 0 1.011 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.011 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.011 * [taylor]: Taking taylor expansion of 1.0 in x 1.011 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.011 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.011 * [taylor]: Taking taylor expansion of 1.0 in x 1.011 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in (x) around 0 1.011 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.011 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.011 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.011 * [taylor]: Taking taylor expansion of x in x 1.011 * [taylor]: Taking taylor expansion of 1.0 in x 1.012 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 x) 1.0)) in x 1.012 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.012 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.012 * [taylor]: Taking taylor expansion of x in x 1.012 * [taylor]: Taking taylor expansion of 1.0 in x 1.013 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.013 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.013 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.013 * [taylor]: Taking taylor expansion of 1.0 in x 1.013 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.013 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.013 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.013 * [taylor]: Taking taylor expansion of 1.0 in x 1.013 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.013 * [taylor]: Taking taylor expansion of x in x 1.014 * * * [progress]: simplifying candidates 1.016 * [simplify]: Simplifying using # : (log (sqrt (- 1.0 x))) (exp (sqrt (- 1.0 x))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (cbrt (sqrt (- 1.0 x))) (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt 1) (sqrt (- 1.0 x)) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt 1) (sqrt (- 1.0 x)) (sqrt (- (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x)) (/ 1 2) (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (log (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (exp (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (* (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (sqrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (sqrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (- (log (sqrt (- 1.0 x))) (log (sqrt (+ 1.0 x)))) (log (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (exp (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x)))) (* (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (cbrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (* (* (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (/ (- 1.0 x) (+ 1.0 x)) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (neg (sqrt (- 1.0 x))) (neg (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1)) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt 1)) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) 1) (/ (cbrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (cbrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt 1)) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt 1)) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))) 1) (/ (sqrt (cbrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) 1) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt 1) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt 1)) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt 1)) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (+ (sqrt 1.0) (sqrt x))) 1) (/ (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (+ 1.0 x))) (/ (sqrt 1) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt 1) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (- 1.0 x)) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt 1) 1) (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (cbrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (+ 1.0 x)))) (/ (sqrt (sqrt (- 1.0 x))) 1) (/ (sqrt (sqrt (- 1.0 x))) (sqrt (+ 1.0 x))) (/ 1 (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (cbrt (sqrt (+ 1.0 x)))) (/ 1 (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (/ (sqrt (- 1.0 x)) (sqrt (cbrt (+ 1.0 x)))) (/ 1 (sqrt (sqrt (+ 1.0 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(sqrt (- 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3)))) (/ (sqrt (- 1.0 x)) (sqrt (- (* 1.0 1.0) (* x x)))) (* (sqrt (+ 1.0 x)) (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (log (sqrt (+ 1.0 x))) (exp (sqrt (+ 1.0 x))) (* (cbrt (sqrt (+ 1.0 x))) (cbrt (sqrt (+ 1.0 x)))) (cbrt (sqrt (+ 1.0 x))) (* (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (sqrt (+ 1.0 x))) (sqrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (sqrt (cbrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt 1) (sqrt (+ 1.0 x)) (sqrt (+ (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (- 1.0 x)) (/ 1 2) (sqrt (sqrt (+ 1.0 x))) (sqrt (sqrt (+ 1.0 x))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1/2 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ NAN x)) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (/ (pow NAN 3) x) (* 2.0 (/ (pow NAN 3) (pow x 2))))) (- (+ (/ (pow NAN 3) x) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (* 1.0 (/ NAN x)) (* 2.0 (/ (pow NAN 3) (pow x 2))))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) (- (+ (sqrt 1.0) (* 1.0 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.5 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 1.0 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (sqrt -1)) (+ (* 1.0 (/ 1 (* (pow x 2) (sqrt -1)))) (* 0.5 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3)))) (- (+ (* 1.0 (/ NAN x)) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (/ (pow NAN 3) x) (* 2.0 (/ (pow NAN 3) (pow x 2))))) (- (+ (/ (pow NAN 3) x) (+ NAN (* 2 (/ (pow NAN 5) (pow x 2))))) (+ (* 1.0 (/ NAN x)) (* 2.0 (/ (pow NAN 3) (pow x 2))))) 1.043 * * [simplify]: iteration 0 : 5003 enodes (cost 1929 ) 1.050 * [simplify]: Simplified to: (log (sqrt (- 1.0 x))) (exp (sqrt (- 1.0 x))) (* (cbrt (sqrt (- 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (cbrt (sqrt (- 1.0 x))) (pow (sqrt (- 1.0 x)) 3) (fabs (cbrt (- 1.0 x))) (sqrt (cbrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) 1 (sqrt (- 1.0 x)) (sqrt (+ (sqrt 1.0) (sqrt x))) (sqrt (- (sqrt 1.0) (sqrt x))) 1 (sqrt (- 1.0 x)) (sqrt (- (pow 1.0 3) (pow x 3))) (sqrt (+ (* 1.0 1.0) (* x (+ 1.0 x)))) (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (+ 1.0 x)) 1/2 (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (- 1.0 x))) (log (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (exp (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (* (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))))) (cbrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (pow (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) 3) (sqrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (sqrt (atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))) (log (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) (log (/ (sqrt (- 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x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (+ (sqrt 1.0) (- (* (* (/ x (sqrt 1.0)) x) (- 1.0 (/ 0.5 1.0))) (* x (sqrt 1.0)))) (+ (sqrt -1) (+ (* (/ 1 (* x (sqrt -1))) (- 1.0 (/ 1.0 x))) (/ 0.5 (* x (* x (sqrt -1)))))) (+ (sqrt -1) (+ (* (/ 1 (* x (sqrt -1))) (- 1.0 (/ 1.0 x))) (/ 0.5 (* x (* x (sqrt -1)))))) (+ (sqrt 1.0) (* (/ x (sqrt 1.0)) (+ 1/2 (* (/ x 1.0) -1/8)))) (+ NAN (+ (* 1.0 (/ NAN x)) (- (* 2 (/ (pow NAN 5) (* x x))) (* (+ (/ 2.0 x) 1) (/ (pow NAN 3) x))))) (+ NAN (+ (* 2 (/ (pow NAN 5) (* x x))) (- (* (+ (/ (neg 2.0) x) 1) (/ (pow NAN 3) x)) (* 1.0 (/ NAN x))))) 1.051 * * * [progress]: adding candidates to table 1.246 * [progress]: [Phase 3 of 3] Extracting. 1.246 * * [regime]: Finding splitpoints for: (# #) 1.246 * * * [regime-changes]: Trying 5 branch expressions: ((/ (- 1.0 x) (+ 1.0 x)) (sqrt (/ (- 1.0 x) (+ 1.0 x))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) x) 1.247 * * * * [regimes]: Trying to branch on (/ (- 1.0 x) (+ 1.0 x)) from (# #) 1.269 * * * * [regimes]: Trying to branch on (sqrt (/ (- 1.0 x) (+ 1.0 x))) from (# #) 1.292 * * * * [regimes]: Trying to branch on (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) from (# #) 1.321 * * * * [regimes]: Trying to branch on (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) from (# #) 1.348 * * * * [regimes]: Trying to branch on x from (# #) 1.374 * * * [regime]: Found split indices: #