0.783 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.225 * [progress]: [Phase 2 of 3] Improving. 0.228 * [simplify]: Simplifying using # : (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.687 * * [simplify]: iteration 0 : 786 enodes (cost 11 ) 0.687 * * [simplify]: iteration 1 : 786 enodes (cost 11 ) 0.688 * [simplify]: Simplified to: (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 0.690 * * [progress]: iteration 1 / 4 0.690 * * * [progress]: picking best candidate 0.692 * * * * [pick]: Picked # 0.692 * * * [progress]: localizing error 0.702 * * * [progress]: generating rewritten candidates 0.702 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.712 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.719 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.724 * * * [progress]: generating series expansions 0.725 * * * * [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 0.729 * [taylor]: Taking taylor expansion of 1.0 in x 0.729 * [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 0.755 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 0.756 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.756 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.756 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.756 * [taylor]: Taking taylor expansion of 1.0 in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of 1.0 in x 0.756 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 0.756 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 0.756 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.756 * [taylor]: Taking taylor expansion of 1.0 in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.756 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.756 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of 1.0 in x 0.757 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 0.757 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.757 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.757 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of 1.0 in x 0.757 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.757 * [taylor]: Taking taylor expansion of 1.0 in x 0.757 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.757 * [taylor]: Taking taylor expansion of x in x 0.757 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 0.757 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.758 * [taylor]: Taking taylor expansion of 1.0 in x 0.758 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.758 * [taylor]: Taking taylor expansion of 1.0 in x 0.758 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.758 * [taylor]: Taking taylor expansion of x in x 0.759 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.759 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 0.759 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.760 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 0.760 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 0.760 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.760 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 0.761 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 0.761 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.761 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 0.761 * * * [progress]: simplifying candidates 0.763 * [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)))) 0.791 * * [simplify]: iteration 0 : 5097 enodes (cost 1256 ) 0.796 * [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 x) 1.0) (/ 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 (- (* x 2.0) 2.0))) (+ (/ 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)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (neg (sqrt -1))))))) (+ (sqrt -1) (+ (/ 1.0 (* x (sqrt -1))) (* (/ -1 (* x x)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (neg (sqrt -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)))) 0.797 * * * [progress]: adding candidates to table 0.954 * * [progress]: iteration 2 / 4 0.954 * * * [progress]: picking best candidate 0.959 * * * * [pick]: Picked # 0.959 * * * [progress]: localizing error 0.970 * * * [progress]: generating rewritten candidates 0.970 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.985 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.991 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 0.994 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.999 * * * [progress]: generating series expansions 0.999 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.999 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 0.999 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.999 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.999 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.999 * [taylor]: Taking taylor expansion of 1.0 in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of 1.0 in x 0.999 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 0.999 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 0.999 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 0.999 * [taylor]: Taking taylor expansion of 1.0 in x 0.999 * [taylor]: Taking taylor expansion of x in x 0.999 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.999 * [taylor]: Taking taylor expansion of x in x 1.000 * [taylor]: Taking taylor expansion of 1.0 in x 1.000 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.001 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.001 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 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 1.001 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 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 1.001 * [taylor]: Taking taylor expansion of 1.0 in x 1.001 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.001 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) 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 1.001 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 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 1.001 * [taylor]: Taking taylor expansion of 1.0 in x 1.002 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.002 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.002 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.002 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 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 1.002 * [taylor]: Taking taylor expansion of 1.0 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 1.002 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.003 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) 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 (- 1.0 (/ 1 x)) in x 1.003 * [taylor]: Taking taylor expansion of 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 1.004 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.004 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in (x) around 0 1.004 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.004 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.004 * [taylor]: Taking taylor expansion of 1.0 in x 1.004 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ x 1.0))) in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 (+ x 1.0)) in x 1.004 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.004 * [taylor]: Taking taylor expansion of 1.0 in x 1.005 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in (x) around 0 1.005 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 1.005 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.005 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.005 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.005 * [taylor]: Taking taylor expansion of 1.0 in x 1.005 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 x) 1.0))) in x 1.005 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1.0)) in x 1.005 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.005 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.005 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in (x) around 0 1.007 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.007 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.007 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.007 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 1.0 (/ 1 x)))) in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 (- 1.0 (/ 1 x))) in x 1.007 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.007 * [taylor]: Taking taylor expansion of 1.0 in x 1.007 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.007 * [taylor]: Taking taylor expansion of x in x 1.009 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 1.009 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 x)) in (x) around 0 1.009 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 1.009 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.009 * [taylor]: Taking taylor expansion of 1.0 in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.009 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 x)) in x 1.009 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.009 * [taylor]: Taking taylor expansion of 1.0 in x 1.009 * [taylor]: Taking taylor expansion of x in x 1.010 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in (x) around 0 1.010 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) 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 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) 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 1.011 * [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 1.011 * [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 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.013 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in (x) around 0 1.013 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.013 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 x) (+ x 1.0)))) in x 1.013 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in (x) around 0 1.013 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.013 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)))) in x 1.014 * [approximate]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in (x) around 0 1.014 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.014 * [taylor]: Taking taylor expansion of (atan (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))))) in x 1.014 * * * [progress]: simplifying candidates 1.016 * [simplify]: Simplifying using # : (* (- 1.0 x) (/ 1 (+ 1.0 x))) (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))) (* (- 1.0 x) (/ 1 (+ 1.0 x))) (+ (log (sqrt (- 1.0 x))) (log (sqrt (/ 1 (+ 1.0 x))))) (log (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))))) (exp (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))))) (* (* (* (sqrt (- 1.0 x)) (sqrt (- 1.0 x))) (sqrt (- 1.0 x))) (* (* (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ 1 (+ 1.0 x)))) (sqrt (/ 1 (+ 1.0 x))))) (* (cbrt (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))))) (cbrt (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))))) (cbrt (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))))) (* (* (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))) (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))))) (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))))) (* (- 1.0 x) (/ 1 (+ 1.0 x))) (sqrt (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))))) (sqrt (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))))) (* (sqrt (- (pow 1.0 3) (pow x 3))) (sqrt 1)) (* (sqrt (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (sqrt (+ 1.0 x))) (* (sqrt (- (* 1.0 1.0) (* x x))) (sqrt 1)) (* (sqrt (+ 1.0 x)) (sqrt (+ 1.0 x))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (/ 1 (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (/ 1 (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt 1) (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt 1) (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (/ 1 (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (/ 1 (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (/ 1 (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (/ 1 (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (/ 1 (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (/ 1 (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt 1) (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (/ (sqrt 1) (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (/ 1 (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (/ 1 (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (/ 1 (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (/ 1 (+ 1.0 x))))) (* (sqrt (- 1.0 x)) (* (cbrt (sqrt (/ 1 (+ 1.0 x)))) (cbrt (sqrt (/ 1 (+ 1.0 x)))))) (* (sqrt (- 1.0 x)) (sqrt (* (cbrt (/ 1 (+ 1.0 x))) (cbrt (/ 1 (+ 1.0 x)))))) (* (sqrt (- 1.0 x)) (sqrt (sqrt (/ 1 (+ 1.0 x))))) (* (sqrt (- 1.0 x)) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (* (sqrt (- 1.0 x)) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 x))))) (* (sqrt (- 1.0 x)) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1))) (* (sqrt (- 1.0 x)) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1))) (* (sqrt (- 1.0 x)) (sqrt (/ (sqrt 1) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (* (sqrt (- 1.0 x)) (sqrt (/ (sqrt 1) (sqrt (+ 1.0 x))))) (* (sqrt (- 1.0 x)) (sqrt (/ (sqrt 1) 1))) (* (sqrt (- 1.0 x)) (sqrt (/ (sqrt 1) 1))) (* (sqrt (- 1.0 x)) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (* (sqrt (- 1.0 x)) (sqrt (/ 1 (sqrt (+ 1.0 x))))) (* (sqrt (- 1.0 x)) (sqrt (/ 1 1))) (* (sqrt (- 1.0 x)) (sqrt (/ 1 1))) (* (sqrt (- 1.0 x)) (sqrt 1)) (* (sqrt (- 1.0 x)) (sqrt 1)) (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ (pow 1.0 3) (pow x 3))))) (* (sqrt (- 1.0 x)) (sqrt (/ 1 (- (* 1.0 1.0) (* x x))))) (* (sqrt (- 1.0 x)) (sqrt (sqrt (/ 1 (+ 1.0 x))))) (* (sqrt (- 1.0 x)) 1) (* (cbrt (sqrt (- 1.0 x))) (sqrt (/ 1 (+ 1.0 x)))) (* (sqrt (cbrt (- 1.0 x))) (sqrt (/ 1 (+ 1.0 x)))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (/ 1 (+ 1.0 x)))) (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))) (* (sqrt (- (sqrt 1.0) (sqrt x))) (sqrt (/ 1 (+ 1.0 x)))) (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (/ 1 (+ 1.0 x)))) (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))) (* (sqrt (- 1.0 x)) (sqrt 1)) (* (sqrt (- (pow 1.0 3) (pow x 3))) (sqrt (/ 1 (+ 1.0 x)))) (* (sqrt (- (* 1.0 1.0) (* x x))) (sqrt (/ 1 (+ 1.0 x)))) (log (sqrt (/ 1 (+ 1.0 x)))) (exp (sqrt (/ 1 (+ 1.0 x)))) (* (cbrt (sqrt (/ 1 (+ 1.0 x)))) (cbrt (sqrt (/ 1 (+ 1.0 x))))) (cbrt (sqrt (/ 1 (+ 1.0 x)))) (* (* (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ 1 (+ 1.0 x)))) (sqrt (/ 1 (+ 1.0 x)))) (sqrt (* (cbrt (/ 1 (+ 1.0 x))) (cbrt (/ 1 (+ 1.0 x))))) (sqrt (cbrt (/ 1 (+ 1.0 x)))) (sqrt (sqrt (/ 1 (+ 1.0 x)))) (sqrt (sqrt (/ 1 (+ 1.0 x)))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (cbrt 1) (cbrt (+ 1.0 x)))) (sqrt (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ 1.0 x)))) (sqrt (/ (cbrt 1) (sqrt (+ 1.0 x)))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1)) (sqrt (/ (cbrt 1) (+ 1.0 x))) (sqrt (/ (* (cbrt 1) (cbrt 1)) 1)) (sqrt (/ (cbrt 1) (+ 1.0 x))) (sqrt (/ (sqrt 1) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ (sqrt 1) (cbrt (+ 1.0 x)))) (sqrt (/ (sqrt 1) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt 1) (sqrt (+ 1.0 x)))) (sqrt (/ (sqrt 1) 1)) (sqrt (/ (sqrt 1) (+ 1.0 x))) (sqrt (/ (sqrt 1) 1)) (sqrt (/ (sqrt 1) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ 1 (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ 1 1)) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ 1 1)) (sqrt (/ 1 (+ 1.0 x))) (sqrt 1) (sqrt (/ 1 (+ 1.0 x))) (sqrt 1) (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ 1 (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) (sqrt (/ 1 (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) (sqrt 1) (sqrt (+ 1.0 x)) (/ -1 2) (/ (neg 1) 2) (/ 1 2) (sqrt (sqrt (/ 1 (+ 1.0 x)))) (sqrt (sqrt (/ 1 (+ 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 (+ (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 (+ 1.0 x)))))) (exp (atan (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))))) (* (cbrt (atan (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))))) (cbrt (atan (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))))))) (cbrt (atan (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))))) (* (* (atan (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))))) (atan (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))))) (atan (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))))) (sqrt (atan (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))))) (sqrt (atan (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))))) (- (+ (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) (* 0.5 (/ (pow x 2) (sqrt 1.0)))) (+ (* 0.125 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* 0.5 (/ x (sqrt 1.0))))) (- (+ (* 1.0 (/ NAN (pow x 3))) (+ (/ NAN x) (+ (/ (pow NAN 3) (pow x 2)) (* 1.0 (/ NAN (pow x 2)))))) (+ (* 2.0 (/ (pow NAN 3) (pow x 3))) (* 2 (/ (pow NAN 5) (pow x 3))))) (- (+ (* 1.0 (/ NAN (pow x 2))) (/ (pow NAN 3) (pow x 2))) (+ (* 1.0 (/ NAN (pow x 3))) (+ (* 2.0 (/ (pow NAN 3) (pow x 3))) (+ (* 2 (/ (pow NAN 5) (pow x 3))) (/ NAN 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)))) 1.049 * * [simplify]: iteration 0 : 4961 enodes (cost 1541 ) 1.052 * * [simplify]: iteration 1 : 4961 enodes (cost 1541 ) 1.058 * [simplify]: Simplified to: (/ (- 1.0 x) (+ 1.0 x)) (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))) (/ (- 1.0 x) (+ 1.0 x)) (log (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))))) (log (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))))) (pow (exp (sqrt (/ 1 (+ 1.0 x)))) (sqrt (- 1.0 x))) (pow (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))) 3) (* (cbrt (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))))) (cbrt (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))))) (cbrt (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))))) (pow (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))) 3) (/ (- 1.0 x) (+ 1.0 x)) (sqrt (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))))) (sqrt (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))))) (sqrt (- (pow 1.0 3) (pow x 3))) (* (sqrt (+ (* 1.0 1.0) (* x (+ 1.0 x)))) (sqrt (+ 1.0 x))) (sqrt (- (* 1.0 1.0) (* x x))) (+ 1.0 x) (* (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (/ 1 (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (/ 1 (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (/ 1 (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (/ 1 (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (/ 1 (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (/ 1 (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (/ 1 (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (/ 1 (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (/ 1 (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (/ 1 (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (/ 1 (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (/ 1 (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (/ 1 (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (/ 1 (sqrt (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (/ 1 (+ 1.0 x))))) (* (sqrt (sqrt (- 1.0 x))) (sqrt (sqrt (/ 1 (+ 1.0 x))))) (* (sqrt (- 1.0 x)) (* (cbrt (sqrt (/ 1 (+ 1.0 x)))) (cbrt (sqrt (/ 1 (+ 1.0 x)))))) (* (sqrt (- 1.0 x)) (fabs (cbrt (/ 1 (+ 1.0 x))))) (* (sqrt (- 1.0 x)) (sqrt (sqrt (/ 1 (+ 1.0 x))))) (* (sqrt (- 1.0 x)) (fabs (/ (cbrt 1) (cbrt (+ 1.0 x))))) (* (sqrt (- 1.0 x)) (sqrt (* (cbrt 1) (/ (cbrt 1) (sqrt (+ 1.0 x)))))) (* (sqrt (- 1.0 x)) (fabs (cbrt 1))) (* (sqrt (- 1.0 x)) (fabs (cbrt 1))) (* (sqrt (- 1.0 x)) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (* (sqrt (- 1.0 x)) (sqrt (/ 1 (sqrt (+ 1.0 x))))) (sqrt (- 1.0 x)) (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))) (* (sqrt (- 1.0 x)) (sqrt (/ 1 (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 (+ (pow 1.0 3) (pow x 3))))) (* (sqrt (- 1.0 x)) (sqrt (/ 1 (- (* 1.0 1.0) (* x x))))) (* (sqrt (- 1.0 x)) (sqrt (sqrt (/ 1 (+ 1.0 x))))) (sqrt (- 1.0 x)) (* (sqrt (/ 1 (+ 1.0 x))) (cbrt (sqrt (- 1.0 x)))) (* (sqrt (/ 1 (+ 1.0 x))) (sqrt (cbrt (- 1.0 x)))) (* (sqrt (/ 1 (+ 1.0 x))) (sqrt (sqrt (- 1.0 x)))) (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))) (* (sqrt (/ 1 (+ 1.0 x))) (sqrt (- (sqrt 1.0) (sqrt x)))) (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))) (* (sqrt (/ 1 (+ 1.0 x))) (sqrt (sqrt (- 1.0 x)))) (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))) (sqrt (- 1.0 x)) (* (sqrt (/ 1 (+ 1.0 x))) (sqrt (- (pow 1.0 3) (pow x 3)))) (* (sqrt (/ 1 (+ 1.0 x))) (sqrt (- (* 1.0 1.0) (* x x)))) (log (sqrt (/ 1 (+ 1.0 x)))) (exp (sqrt (/ 1 (+ 1.0 x)))) (* (cbrt (sqrt (/ 1 (+ 1.0 x)))) (cbrt (sqrt (/ 1 (+ 1.0 x))))) (cbrt (sqrt (/ 1 (+ 1.0 x)))) (pow (sqrt (/ 1 (+ 1.0 x))) 3) (fabs (cbrt (/ 1 (+ 1.0 x)))) (sqrt (cbrt (/ 1 (+ 1.0 x)))) (sqrt (sqrt (/ 1 (+ 1.0 x)))) (sqrt (sqrt (/ 1 (+ 1.0 x)))) (fabs (/ (cbrt 1) (cbrt (+ 1.0 x)))) (sqrt (/ (cbrt 1) (cbrt (+ 1.0 x)))) (sqrt (* (cbrt 1) (/ (cbrt 1) (sqrt (+ 1.0 x))))) (sqrt (/ (cbrt 1) (sqrt (+ 1.0 x)))) (fabs (cbrt 1)) (sqrt (/ (cbrt 1) (+ 1.0 x))) (fabs (cbrt 1)) (sqrt (/ (cbrt 1) (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ 1 (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) 1 (sqrt (/ 1 (+ 1.0 x))) 1 (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) (sqrt (/ 1 (cbrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ 1 (sqrt (+ 1.0 x)))) 1 (sqrt (/ 1 (+ 1.0 x))) 1 (sqrt (/ 1 (+ 1.0 x))) 1 (sqrt (/ 1 (+ 1.0 x))) 1 (sqrt (/ 1 (+ 1.0 x))) (sqrt (/ 1 (+ (pow 1.0 3) (pow x 3)))) (sqrt (+ (* 1.0 1.0) (* x (- x 1.0)))) (sqrt (/ 1 (- (* 1.0 1.0) (* x x)))) (sqrt (- 1.0 x)) 1 (sqrt (+ 1.0 x)) -1/2 -1/2 1/2 (sqrt (sqrt (/ 1 (+ 1.0 x)))) (sqrt (sqrt (/ 1 (+ 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))) (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 (+ 1.0 x)))))) (exp (atan (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))))) (* (cbrt (atan (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))))) (cbrt (atan (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))))))) (cbrt (atan (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))))) (pow (atan (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x))))) 3) (sqrt (atan (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 x)))))) (sqrt (atan (* (sqrt (- 1.0 x)) (sqrt (/ 1 (+ 1.0 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)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (neg (sqrt -1))))))) (+ (sqrt -1) (- (/ 1.0 (* x (sqrt -1))) (* (/ 1 (* x x)) (+ (/ 1.0 (sqrt -1)) (/ 0.5 (neg (sqrt -1))))))) (+ (sqrt 1.0) (- (* (* (/ x (sqrt 1.0)) x) (- 0.5 (/ 0.125 1.0))) (* 0.5 (/ x (sqrt 1.0))))) (+ (/ NAN x) (+ (+ (/ (pow NAN 3) (* x x)) (* (/ NAN (* x x)) (+ 1.0 (/ 1.0 x)))) (- (* (/ (pow NAN 5) (pow x 3)) -2) (* 2.0 (pow (/ NAN x) 3))))) (+ (/ (pow NAN 3) (* x x)) (+ (* (/ NAN (* x x)) (- 1.0 (/ 1.0 x))) (- (- (* (/ (pow NAN 5) (pow x 3)) -2) (* 2.0 (pow (/ NAN x) 3))) (/ NAN x)))) (+ (sqrt 1.0) (+ (* -1/2 (/ x (sqrt 1.0))) (* (* (/ x (sqrt 1.0)) (/ x 1.0)) -1/8))) (+ NAN (+ (* 2 (/ (pow NAN 5) (* x x))) (- (* 1.0 (/ NAN x)) (* (+ (/ 2.0 x) 1) (/ (pow NAN 3) x))))) (+ NAN (+ (* 2 (/ (pow NAN 5) (* x x))) (- (/ (pow NAN 3) x) (+ (* 1.0 (/ NAN x)) (* (/ (pow NAN 3) (* x x)) 2.0))))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 1.059 * * * [progress]: adding candidates to table 1.260 * * [progress]: iteration 3 / 4 1.260 * * * [progress]: picking best candidate 1.263 * * * * [pick]: Picked # 1.263 * * * [progress]: localizing error 1.275 * * * [progress]: generating rewritten candidates 1.275 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.286 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 1.297 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.309 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 1.329 * * * [progress]: generating series expansions 1.329 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.329 * [approximate]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) in (x) around 0 1.329 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) in x 1.329 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.329 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.329 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.329 * [taylor]: Taking taylor expansion of 1.0 in x 1.329 * [taylor]: Taking taylor expansion of x in x 1.329 * [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 1.330 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 x) (+ x 1.0))) 3) in x 1.330 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.330 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.330 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.330 * [taylor]: Taking taylor expansion of 1.0 in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [taylor]: Taking taylor expansion of 1.0 in x 1.332 * [approximate]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 3) in (x) around 0 1.332 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 3) in x 1.332 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.332 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.332 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.332 * [taylor]: Taking taylor expansion of 1.0 in x 1.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.332 * [taylor]: Taking taylor expansion of x in x 1.332 * [taylor]: Taking taylor expansion of 1.0 in x 1.333 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) 3) in x 1.333 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.333 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.333 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.333 * [taylor]: Taking taylor expansion of 1.0 in x 1.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [approximate]: Taking taylor expansion of (pow (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 3) in (x) around 0 1.335 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 3) in x 1.335 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.335 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.335 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of (pow (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) 3) in x 1.335 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.335 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.335 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.335 * [taylor]: Taking taylor expansion of 1.0 in x 1.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.335 * [taylor]: Taking taylor expansion of x in x 1.337 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 1.337 * [approximate]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in (x) around 0 1.337 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.337 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.337 * [taylor]: Taking taylor expansion of 1.0 in x 1.337 * [taylor]: Taking taylor expansion of x in x 1.337 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.337 * [taylor]: Taking taylor expansion of x in x 1.337 * [taylor]: Taking taylor expansion of 1.0 in x 1.337 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.337 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.337 * [taylor]: Taking taylor expansion of 1.0 in x 1.337 * [taylor]: Taking taylor expansion of x in x 1.337 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.337 * [taylor]: Taking taylor expansion of x in x 1.337 * [taylor]: Taking taylor expansion of 1.0 in x 1.338 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in (x) around 0 1.338 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.338 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.338 * [taylor]: Taking taylor expansion of 1.0 in x 1.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.338 * [taylor]: Taking taylor expansion of x in x 1.338 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.338 * [taylor]: Taking taylor expansion of x in x 1.338 * [taylor]: Taking taylor expansion of 1.0 in x 1.338 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.338 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.338 * [taylor]: Taking taylor expansion of 1.0 in x 1.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.338 * [taylor]: Taking taylor expansion of x in x 1.338 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.338 * [taylor]: Taking taylor expansion of x in x 1.338 * [taylor]: Taking taylor expansion of 1.0 in x 1.339 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in (x) around 0 1.339 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.339 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.339 * [taylor]: Taking taylor expansion of 1.0 in x 1.339 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.339 * [taylor]: Taking taylor expansion of 1.0 in x 1.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.339 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.339 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.339 * [taylor]: Taking taylor expansion of 1.0 in x 1.339 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.339 * [taylor]: Taking taylor expansion of 1.0 in x 1.339 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.340 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.340 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.340 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.340 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.340 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.340 * [taylor]: Taking taylor expansion of 1.0 in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of 1.0 in x 1.340 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.340 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.340 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.340 * [taylor]: Taking taylor expansion of 1.0 in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of 1.0 in x 1.341 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.341 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.341 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.341 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.341 * [taylor]: Taking taylor expansion of 1.0 in x 1.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.341 * [taylor]: Taking taylor expansion of x in x 1.341 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.341 * [taylor]: Taking taylor expansion of x in x 1.341 * [taylor]: Taking taylor expansion of 1.0 in x 1.341 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.341 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.342 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.342 * [taylor]: Taking taylor expansion of 1.0 in x 1.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.342 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.342 * [taylor]: Taking taylor expansion of x in x 1.342 * [taylor]: Taking taylor expansion of 1.0 in x 1.343 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.343 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.343 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.343 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of 1.0 in x 1.343 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.343 * [taylor]: Taking taylor expansion of 1.0 in x 1.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.343 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.343 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.343 * [taylor]: Taking taylor expansion of 1.0 in x 1.343 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.343 * [taylor]: Taking taylor expansion of 1.0 in x 1.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.343 * [taylor]: Taking taylor expansion of x in x 1.344 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 1.344 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in (x) around 0 1.344 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.344 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.344 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.344 * [taylor]: Taking taylor expansion of 1.0 in x 1.344 * [taylor]: Taking taylor expansion of x in x 1.344 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.344 * [taylor]: Taking taylor expansion of x in x 1.344 * [taylor]: Taking taylor expansion of 1.0 in x 1.345 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 x) (+ x 1.0))) in x 1.345 * [taylor]: Taking taylor expansion of (/ (- 1.0 x) (+ x 1.0)) in x 1.345 * [taylor]: Taking taylor expansion of (- 1.0 x) in x 1.345 * [taylor]: Taking taylor expansion of 1.0 in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.345 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.345 * [taylor]: Taking taylor expansion of x in x 1.345 * [taylor]: Taking taylor expansion of 1.0 in x 1.346 * [approximate]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in (x) around 0 1.346 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.346 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.346 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.346 * [taylor]: Taking taylor expansion of 1.0 in x 1.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.346 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.346 * [taylor]: Taking taylor expansion of 1.0 in x 1.346 * [taylor]: Taking taylor expansion of (sqrt (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0))) in x 1.346 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 x)) (+ (/ 1 x) 1.0)) in x 1.346 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.346 * [taylor]: Taking taylor expansion of 1.0 in x 1.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.346 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.346 * [taylor]: Taking taylor expansion of x in x 1.346 * [taylor]: Taking taylor expansion of 1.0 in x 1.347 * [approximate]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in (x) around 0 1.347 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.347 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x))) in x 1.347 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1.0) in x 1.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.347 * [taylor]: Taking taylor expansion of x in x 1.347 * [taylor]: Taking taylor expansion of 1.0 in x 1.347 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.347 * [taylor]: Taking taylor expansion of 1.0 in x 1.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.347 * [taylor]: Taking taylor expansion of x in x 1.348 * [taylor]: Taking taylor expansion of (sqrt (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 x)))) in x 1.348 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) 1.0) (- 1.0 (/ 1 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 1.348 * [taylor]: Taking taylor expansion of 1.0 in x 1.348 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.348 * [taylor]: Taking taylor expansion of 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 * * * [progress]: simplifying candidates 1.353 * [simplify]: Simplifying using # : (* (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 3) (* (log (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 3) (* 1/2 3) (* 1 3) (* (/ 1 2) 3) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt 3)) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 1) (pow (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 3) (pow (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 3) (pow (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) 3) (pow (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) 3) (pow (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 3) (pow (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 3) (pow (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) 3) (pow (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) 3) (pow (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) 3) (pow (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) 3) (pow (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) 3) (pow (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) 3) (pow (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) 3) (pow (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) 1)) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) 1)) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) 3) (pow (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) 3) (pow (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) 3) (pow (sqrt (/ 1 (sqrt (+ 1.0 x)))) 3) (pow (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 3) (pow (sqrt (/ 1 1)) 3) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3) (pow (sqrt (/ 1 1)) 3) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3) (pow (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) 3) (pow (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) 3) (pow (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) 3) (pow (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) 3) (pow (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) 3) (pow (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) 3) (pow (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) 3) (pow (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) 3) (pow (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) 3) (pow (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) 3) (pow (sqrt (/ 1 (sqrt (+ 1.0 x)))) 3) (pow (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 3) (pow (sqrt (/ 1 1)) 3) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3) (pow (sqrt (/ 1 1)) 3) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3) (pow (sqrt 1) 3) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3) (pow (sqrt (- 1.0 x)) 3) (pow (sqrt (/ 1 (+ 1.0 x))) 3) (pow (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) 3) (pow (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) 3) (pow (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) 3) (pow (sqrt (- 1.0 x)) 3) (pow (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 3) (pow (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 3) (pow 1 3) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3) (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (log (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3)) (exp (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3)) (* (cbrt (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3)) (cbrt (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3))) (cbrt (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3)) (* (* (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3)) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3)) (pow (* (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x))))) 3) (pow (cbrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 3) (pow (sqrt (* (cbrt (/ (- 1.0 x) (+ 1.0 x))) (cbrt (/ (- 1.0 x) (+ 1.0 x))))) 3) (pow (sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x)))) 3) (pow (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 3) (pow (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 3) (pow (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) 3) (pow (sqrt (/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))) 3) (pow (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) (sqrt (+ 1.0 x)))) 3) (pow (sqrt (/ (cbrt (- 1.0 x)) (sqrt (+ 1.0 x)))) 3) (pow (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) 3) (pow (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) 3) (pow (sqrt (/ (* (cbrt (- 1.0 x)) (cbrt (- 1.0 x))) 1)) 3) (pow (sqrt (/ (cbrt (- 1.0 x)) (+ 1.0 x))) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) (cbrt (+ 1.0 x)))) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) 1)) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) 1)) 3) (pow (sqrt (/ (sqrt (- 1.0 x)) (+ 1.0 x))) 3) (pow (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) 3) (pow (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) 3) (pow (sqrt (/ 1 (sqrt (+ 1.0 x)))) 3) (pow (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 3) (pow (sqrt (/ 1 1)) 3) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3) (pow (sqrt (/ 1 1)) 3) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3) (pow (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) 3) (pow (sqrt (/ (- (sqrt 1.0) (sqrt x)) (cbrt (+ 1.0 x)))) 3) (pow (sqrt (/ (+ (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) 3) (pow (sqrt (/ (- (sqrt 1.0) (sqrt x)) (sqrt (+ 1.0 x)))) 3) (pow (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) 3) (pow (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) 3) (pow (sqrt (/ (+ (sqrt 1.0) (sqrt x)) 1)) 3) (pow (sqrt (/ (- (sqrt 1.0) (sqrt x)) (+ 1.0 x))) 3) (pow (sqrt (/ 1 (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))) 3) (pow (sqrt (/ (- 1.0 x) (cbrt (+ 1.0 x)))) 3) (pow (sqrt (/ 1 (sqrt (+ 1.0 x)))) 3) (pow (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))) 3) (pow (sqrt (/ 1 1)) 3) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3) (pow (sqrt (/ 1 1)) 3) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3) (pow (sqrt 1) 3) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3) (pow (sqrt (- 1.0 x)) 3) (pow (sqrt (/ 1 (+ 1.0 x))) 3) (pow (sqrt (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))) 3) (pow (sqrt (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))) 3) (pow (sqrt (/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))) 3) (pow (sqrt (- 1.0 x)) 3) (pow (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 3) (pow (sqrt (sqrt (/ (- 1.0 x) (+ 1.0 x)))) 3) (pow 1 3) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3) (pow (sqrt (- 1.0 x)) 3) (pow (sqrt (+ 1.0 x)) 3) (* (sqrt (/ (- 1.0 x) (+ 1.0 x))) (sqrt (/ (- 1.0 x) (+ 1.0 x)))) (/ 3 2) (sqrt (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3)) (sqrt (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3)) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) (/ 3 2)) (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) (/ 3 2)) (- (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 (cbrt (pow (sqrt (/ (- 1.0 x) (+ 1.0 x))) 3))) (exp 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[progress]: adding candidates to table 1.735 * [progress]: [Phase 3 of 3] Extracting. 1.736 * * [regime]: Finding splitpoints for: (# # #) 1.736 * * * [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) 1.737 * * * * [regimes]: Trying to branch on (/ (- 1.0 x) (+ 1.0 x)) from (# # #) 1.762 * * * * [regimes]: Trying to branch on (sqrt (/ (- 1.0 x) (+ 1.0 x))) from (# # #) 1.791 * * * * [regimes]: Trying to branch on (atan (sqrt (/ (- 1.0 x) (+ 1.0 x)))) from (# # #) 1.819 * * * * [regimes]: Trying to branch on (* 2.0 (atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))) from (# # #) 1.849 * * * * [regimes]: Trying to branch on x from (# # #) 1.877 * * * [regime]: Found split indices: #