16.340 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.555 * * * [progress]: [2/2] Setting up program. 0.560 * [progress]: [Phase 2 of 3] Improving. 0.560 * [simplify]: Simplifying using # : (+ (+ (+ (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ y 1.0)) (sqrt y))) (- (sqrt (+ z 1.0)) (sqrt z))) (- (sqrt (+ t 1.0)) (sqrt t))) 0.565 * * [simplify]: iteration 0 : 51 enodes (cost 19 ) 0.567 * * [simplify]: iteration 1 : 156 enodes (cost 19 ) 0.570 * * [simplify]: iteration 2 : 907 enodes (cost 19 ) 0.589 * * [simplify]: iteration 3 : 5001 enodes (cost 19 ) 0.589 * [simplify]: Simplified to: (+ (+ (+ (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ y 1.0)) (sqrt y))) (- (sqrt (+ z 1.0)) (sqrt z))) (- (sqrt (+ t 1.0)) (sqrt t))) 0.589 * * [progress]: iteration 1 / 4 0.589 * * * [progress]: picking best candidate 0.594 * * * * [pick]: Picked # 0.594 * * * [progress]: localizing error 0.617 * * * [progress]: generating rewritten candidates 0.617 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 0.627 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.636 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.646 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 0.671 * * * [progress]: generating series expansions 0.671 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 0.671 * [approximate]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in (y) around 0 0.671 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 0.671 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 0.671 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.671 * [taylor]: Taking taylor expansion of y in y 0.671 * [taylor]: Taking taylor expansion of 1.0 in y 0.673 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.674 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 0.674 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 0.674 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.674 * [taylor]: Taking taylor expansion of 1.0 in y 0.676 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.676 * [taylor]: Taking taylor expansion of y in y 0.696 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in (y) around 0 0.696 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 0.696 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.696 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.696 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.696 * [taylor]: Taking taylor expansion of y in y 0.696 * [taylor]: Taking taylor expansion of 1.0 in y 0.698 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.698 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.698 * [taylor]: Taking taylor expansion of y in y 0.699 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 0.699 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.699 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.699 * [taylor]: Taking taylor expansion of y in y 0.700 * [taylor]: Taking taylor expansion of 1.0 in y 0.701 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.701 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.701 * [taylor]: Taking taylor expansion of y in y 0.716 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in (y) around 0 0.716 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 0.716 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.716 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.716 * [taylor]: Taking taylor expansion of 1.0 in y 0.716 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.716 * [taylor]: Taking taylor expansion of y in y 0.718 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.718 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.718 * [taylor]: Taking taylor expansion of -1 in y 0.718 * [taylor]: Taking taylor expansion of y in y 0.719 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 0.720 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.720 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.720 * [taylor]: Taking taylor expansion of 1.0 in y 0.720 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.720 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.721 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.721 * [taylor]: Taking taylor expansion of -1 in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.737 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.737 * [approximate]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in (t) around 0 0.737 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 0.737 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 0.737 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 0.737 * [taylor]: Taking taylor expansion of t in t 0.738 * [taylor]: Taking taylor expansion of 1.0 in t 0.739 * [taylor]: Taking taylor expansion of (sqrt t) in t 0.739 * [taylor]: Taking taylor expansion of t in t 0.744 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 0.744 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 0.744 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 0.744 * [taylor]: Taking taylor expansion of t in t 0.744 * [taylor]: Taking taylor expansion of 1.0 in t 0.746 * [taylor]: Taking taylor expansion of (sqrt t) in t 0.746 * [taylor]: Taking taylor expansion of t in t 0.766 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in (t) around 0 0.766 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 0.766 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 0.766 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.766 * [taylor]: Taking taylor expansion of t in t 0.766 * [taylor]: Taking taylor expansion of 1.0 in t 0.768 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 0.768 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.768 * [taylor]: Taking taylor expansion of t in t 0.769 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 0.769 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 0.769 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.769 * [taylor]: Taking taylor expansion of t in t 0.769 * [taylor]: Taking taylor expansion of 1.0 in t 0.770 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 0.770 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.770 * [taylor]: Taking taylor expansion of t in t 0.786 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in (t) around 0 0.786 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 0.786 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 0.786 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 0.786 * [taylor]: Taking taylor expansion of 1.0 in t 0.786 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.786 * [taylor]: Taking taylor expansion of t in t 0.788 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 0.788 * [taylor]: Taking taylor expansion of (/ -1 t) in t 0.788 * [taylor]: Taking taylor expansion of -1 in t 0.788 * [taylor]: Taking taylor expansion of t in t 0.789 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 0.789 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 0.789 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 0.789 * [taylor]: Taking taylor expansion of 1.0 in t 0.789 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.789 * [taylor]: Taking taylor expansion of t in t 0.791 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 0.791 * [taylor]: Taking taylor expansion of (/ -1 t) in t 0.791 * [taylor]: Taking taylor expansion of -1 in t 0.791 * [taylor]: Taking taylor expansion of t in t 0.807 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.807 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.807 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.807 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.807 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.807 * [taylor]: Taking taylor expansion of x in x 0.807 * [taylor]: Taking taylor expansion of 1.0 in x 0.809 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.810 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.810 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.810 * [taylor]: Taking taylor expansion of x in x 0.810 * [taylor]: Taking taylor expansion of 1.0 in x 0.812 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.834 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.834 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.834 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.834 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.834 * [taylor]: Taking taylor expansion of 1.0 in x 0.834 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.834 * [taylor]: Taking taylor expansion of x in x 0.836 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.836 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.836 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.837 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.837 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.837 * [taylor]: Taking taylor expansion of 1.0 in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.839 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.839 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.839 * [taylor]: Taking taylor expansion of x in x 0.854 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.854 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.854 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.854 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.854 * [taylor]: Taking taylor expansion of 1.0 in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.856 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.856 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.856 * [taylor]: Taking taylor expansion of -1 in x 0.856 * [taylor]: Taking taylor expansion of x in x 0.857 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.857 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.857 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.857 * [taylor]: Taking taylor expansion of 1.0 in x 0.857 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.857 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.859 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.859 * [taylor]: Taking taylor expansion of -1 in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.875 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 0.875 * [approximate]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in (z) around 0 0.875 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 0.875 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 0.875 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 0.875 * [taylor]: Taking taylor expansion of z in z 0.875 * [taylor]: Taking taylor expansion of 1.0 in z 0.877 * [taylor]: Taking taylor expansion of (sqrt z) in z 0.877 * [taylor]: Taking taylor expansion of z in z 0.878 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 0.878 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 0.878 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 0.878 * [taylor]: Taking taylor expansion of z in z 0.878 * [taylor]: Taking taylor expansion of 1.0 in z 0.880 * [taylor]: Taking taylor expansion of (sqrt z) in z 0.880 * [taylor]: Taking taylor expansion of z in z 0.899 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in (z) around 0 0.899 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 0.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 0.900 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.900 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.900 * [taylor]: Taking taylor expansion of z in z 0.900 * [taylor]: Taking taylor expansion of 1.0 in z 0.901 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 0.901 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.901 * [taylor]: Taking taylor expansion of z in z 0.903 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 0.903 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.903 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.903 * [taylor]: Taking taylor expansion of z in z 0.906 * [taylor]: Taking taylor expansion of 1.0 in z 0.907 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 0.907 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.907 * [taylor]: Taking taylor expansion of z in z 0.923 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in (z) around 0 0.923 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 0.923 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 0.923 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 0.923 * [taylor]: Taking taylor expansion of 1.0 in z 0.923 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.923 * [taylor]: Taking taylor expansion of z in z 0.925 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 0.925 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.925 * [taylor]: Taking taylor expansion of -1 in z 0.925 * [taylor]: Taking taylor expansion of z in z 0.926 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 0.926 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 0.926 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 0.926 * [taylor]: Taking taylor expansion of 1.0 in z 0.926 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.926 * [taylor]: Taking taylor expansion of z in z 0.928 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 0.928 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.928 * [taylor]: Taking taylor expansion of -1 in z 0.928 * [taylor]: Taking taylor expansion of z in z 0.944 * * * [progress]: simplifying candidates 0.950 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0)))) (cbrt (sqrt (+ y 1.0))) (- (* (cbrt (sqrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y)))))) (fma (- (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y))))) (fma (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0)))) (cbrt (sqrt (+ y 1.0))) (- (* (sqrt (cbrt y)) (sqrt (* (cbrt y) (cbrt y)))))) (fma (- (sqrt (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (* (sqrt (cbrt y)) (sqrt (* (cbrt y) (cbrt y))))) (fma (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0)))) (cbrt (sqrt (+ y 1.0))) (- (* (sqrt (sqrt y)) (sqrt (sqrt y))))) (fma (- (sqrt (sqrt y))) (sqrt (sqrt y)) (* (sqrt (sqrt y)) (sqrt (sqrt y)))) (fma (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0)))) (cbrt (sqrt (+ y 1.0))) (- (* (sqrt y) (sqrt 1)))) (fma (- (sqrt y)) (sqrt 1) (* (sqrt y) (sqrt 1))) (fma (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0)))) (cbrt (sqrt (+ y 1.0))) (- (* (sqrt (sqrt y)) (sqrt (sqrt y))))) (fma (- (sqrt (sqrt y))) (sqrt (sqrt y)) (* (sqrt (sqrt y)) (sqrt (sqrt y)))) (fma (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0)))) (cbrt (sqrt (+ y 1.0))) (- (* (sqrt y) 1))) (fma (- (sqrt y)) 1 (* (sqrt y) 1)) (fma (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (sqrt (cbrt (+ y 1.0))) (- (* (cbrt (sqrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y)))))) (fma (- (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y))))) (fma (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (sqrt (cbrt (+ y 1.0))) (- (* (sqrt (cbrt y)) (sqrt (* (cbrt y) (cbrt y)))))) (fma (- (sqrt (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (* (sqrt (cbrt y)) (sqrt (* (cbrt y) (cbrt y))))) (fma (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (sqrt (cbrt (+ y 1.0))) (- (* (sqrt (sqrt y)) (sqrt (sqrt y))))) (fma (- (sqrt (sqrt y))) (sqrt (sqrt y)) (* (sqrt (sqrt y)) (sqrt (sqrt y)))) (fma (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (sqrt (cbrt (+ y 1.0))) (- (* (sqrt y) (sqrt 1)))) (fma (- (sqrt y)) (sqrt 1) (* (sqrt y) (sqrt 1))) (fma (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (sqrt (cbrt (+ y 1.0))) (- (* (sqrt (sqrt y)) (sqrt (sqrt y))))) (fma (- (sqrt (sqrt y))) (sqrt (sqrt y)) (* (sqrt (sqrt y)) (sqrt (sqrt y)))) (fma (sqrt (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))) (sqrt (cbrt (+ y 1.0))) (- (* (sqrt y) 1))) (fma (- (sqrt y)) 1 (* (sqrt y) 1)) (fma (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt (+ y 1.0))) (- (* (cbrt (sqrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y)))))) (fma (- (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y))))) (fma (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt (+ y 1.0))) (- (* (sqrt (cbrt y)) (sqrt (* (cbrt y) (cbrt y)))))) (fma (- (sqrt (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (* (sqrt (cbrt y)) (sqrt (* (cbrt y) (cbrt y))))) (fma (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt (+ y 1.0))) (- (* (sqrt (sqrt y)) (sqrt (sqrt y))))) (fma (- (sqrt (sqrt y))) (sqrt (sqrt y)) (* (sqrt (sqrt y)) (sqrt (sqrt y)))) (fma (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt (+ y 1.0))) (- (* (sqrt y) (sqrt 1)))) (fma (- (sqrt y)) (sqrt 1) (* (sqrt y) (sqrt 1))) (fma (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt (+ y 1.0))) (- (* (sqrt (sqrt y)) (sqrt (sqrt y))))) (fma (- (sqrt (sqrt y))) (sqrt (sqrt y)) (* (sqrt (sqrt y)) (sqrt (sqrt y)))) (fma (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt (+ y 1.0))) (- (* (sqrt y) 1))) (fma (- (sqrt y)) 1 (* (sqrt y) 1)) (fma (sqrt 1) (sqrt (+ y 1.0)) (- (* (cbrt (sqrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y)))))) (fma (- (cbrt (sqrt y))) (* (cbrt (sqrt y)) (cbrt (sqrt y))) (* (cbrt (sqrt y)) (* (cbrt (sqrt y)) (cbrt (sqrt y))))) (fma (sqrt 1) (sqrt (+ y 1.0)) (- (* (sqrt (cbrt y)) (sqrt (* (cbrt y) (cbrt y)))))) (fma (- (sqrt (cbrt y))) (sqrt (* (cbrt y) (cbrt y))) (* (sqrt (cbrt y)) (sqrt (* (cbrt y) (cbrt y))))) (fma (sqrt 1) (sqrt (+ y 1.0)) (- (* (sqrt (sqrt y)) (sqrt (sqrt y))))) (fma (- (sqrt (sqrt y))) (sqrt (sqrt y)) (* (sqrt (sqrt y)) (sqrt (sqrt y)))) (fma (sqrt 1) (sqrt (+ y 1.0)) (- (* (sqrt y) (sqrt 1)))) (fma (- (sqrt y)) (sqrt 1) (* (sqrt y) (sqrt 1))) (fma (sqrt 1) (sqrt (+ y 1.0)) (- (* (sqrt (sqrt y)) (sqrt (sqrt y))))) (fma (- (sqrt (sqrt y))) (sqrt (sqrt y)) (* 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1.0))) (sqrt (sqrt z))) (- (sqrt (sqrt (+ z 1.0))) (sqrt (sqrt z))) (+ (sqrt (sqrt (+ z 1.0))) (sqrt (sqrt z))) (- (sqrt (sqrt (+ z 1.0))) (sqrt (sqrt z))) (- (sqrt (+ z 1.0)) (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (- (sqrt z)) (fma 1/2 (/ y (sqrt 1.0)) (- (sqrt 1.0) (fma +nan.0 (pow y 2) (- (* 1/8 (/ (pow y 2) (pow (sqrt 1.0) 3))) (* +nan.0 y))))) (+ (fma +nan.0 (/ 1 (pow y 2)) (- +nan.0)) (/ (- +nan.0) y)) (+ (fma +nan.0 (/ 1 (pow y 2)) (- +nan.0)) (/ (- +nan.0) y)) (+ (- (fma 1/2 (/ t (sqrt 1.0)) (sqrt 1.0)) (fma t +nan.0 (* 1/8 (/ (pow t 2) (pow (sqrt 1.0) 3))))) (* +nan.0 (pow t 2))) (+ (fma +nan.0 (/ 1 (pow t 2)) (- +nan.0)) (/ (- +nan.0) t)) (+ (fma +nan.0 (/ 1 (pow t 2)) (- +nan.0)) (/ (- +nan.0) t)) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (fma 1/2 (/ z (sqrt 1.0)) (sqrt 1.0)) (* 1/8 (/ (pow z 2) (pow (sqrt 1.0) 3)))) (* +nan.0 (- (pow z 2) z))) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) 1.049 * * * [progress]: adding candidates to table 1.870 * * [progress]: iteration 2 / 4 1.870 * * * [progress]: picking best candidate 1.983 * * * * [pick]: Picked # 1.983 * * * [progress]: localizing error 2.025 * * * [progress]: generating rewritten candidates 2.025 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.037 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 2.044 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.053 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 2.073 * * * [progress]: generating series expansions 2.073 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.073 * [approximate]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in (t) around 0 2.073 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 2.073 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 2.073 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 2.073 * [taylor]: Taking taylor expansion of t in t 2.073 * [taylor]: Taking taylor expansion of 1.0 in t 2.076 * [taylor]: Taking taylor expansion of (sqrt t) in t 2.076 * [taylor]: Taking taylor expansion of t in t 2.077 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 2.077 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 2.077 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 2.077 * [taylor]: Taking taylor expansion of t in t 2.077 * [taylor]: Taking taylor expansion of 1.0 in t 2.078 * [taylor]: Taking taylor expansion of (sqrt t) in t 2.078 * [taylor]: Taking taylor expansion of t in t 2.098 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in (t) around 0 2.098 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 2.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 2.099 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 2.099 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.099 * [taylor]: Taking taylor expansion of t in t 2.099 * [taylor]: Taking taylor expansion of 1.0 in t 2.100 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 2.100 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.100 * [taylor]: Taking taylor expansion of t in t 2.101 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 2.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 2.101 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 2.101 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.101 * [taylor]: Taking taylor expansion of t in t 2.102 * [taylor]: Taking taylor expansion of 1.0 in t 2.103 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 2.103 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.103 * [taylor]: Taking taylor expansion of t in t 2.125 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in (t) around 0 2.125 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 2.125 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 2.125 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 2.125 * [taylor]: Taking taylor expansion of 1.0 in t 2.125 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.125 * [taylor]: Taking taylor expansion of t in t 2.127 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 2.127 * [taylor]: Taking taylor expansion of (/ -1 t) in t 2.127 * [taylor]: Taking taylor expansion of -1 in t 2.127 * [taylor]: Taking taylor expansion of t in t 2.128 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 2.128 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 2.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 2.128 * [taylor]: Taking taylor expansion of 1.0 in t 2.128 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.128 * [taylor]: Taking taylor expansion of t in t 2.130 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 2.130 * [taylor]: Taking taylor expansion of (/ -1 t) in t 2.130 * [taylor]: Taking taylor expansion of -1 in t 2.130 * [taylor]: Taking taylor expansion of t in t 2.147 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 2.147 * [approximate]: Taking taylor expansion of 1.0 in (y) around 0 2.147 * [taylor]: Taking taylor expansion of 1.0 in y 2.147 * [taylor]: Taking taylor expansion of 1.0 in y 2.147 * [approximate]: Taking taylor expansion of 1.0 in (y) around 0 2.147 * [taylor]: Taking taylor expansion of 1.0 in y 2.147 * [taylor]: Taking taylor expansion of 1.0 in y 2.147 * [approximate]: Taking taylor expansion of 1.0 in (y) around 0 2.147 * [taylor]: Taking taylor expansion of 1.0 in y 2.147 * [taylor]: Taking taylor expansion of 1.0 in y 2.147 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.147 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 2.147 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 2.147 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.148 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.148 * [taylor]: Taking taylor expansion of x in x 2.148 * [taylor]: Taking taylor expansion of 1.0 in x 2.149 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.149 * [taylor]: Taking taylor expansion of x in x 2.150 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 2.150 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.150 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.150 * [taylor]: Taking taylor expansion of x in x 2.150 * [taylor]: Taking taylor expansion of 1.0 in x 2.152 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.152 * [taylor]: Taking taylor expansion of x in x 2.172 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 2.172 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 2.172 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.172 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.172 * [taylor]: Taking taylor expansion of 1.0 in x 2.172 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.172 * [taylor]: Taking taylor expansion of x in x 2.174 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.174 * [taylor]: Taking taylor expansion of x in x 2.175 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 2.175 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.175 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.175 * [taylor]: Taking taylor expansion of 1.0 in x 2.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.175 * [taylor]: Taking taylor expansion of x in x 2.177 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.177 * [taylor]: Taking taylor expansion of x in x 2.192 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 2.192 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.193 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.193 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.193 * [taylor]: Taking taylor expansion of 1.0 in x 2.193 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.193 * [taylor]: Taking taylor expansion of x in x 2.194 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.194 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.194 * [taylor]: Taking taylor expansion of -1 in x 2.194 * [taylor]: Taking taylor expansion of x in x 2.196 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.196 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.196 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.196 * [taylor]: Taking taylor expansion of 1.0 in x 2.196 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.196 * [taylor]: Taking taylor expansion of x in x 2.197 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.197 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.197 * [taylor]: Taking taylor expansion of -1 in x 2.197 * [taylor]: Taking taylor expansion of x in x 2.220 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.220 * [approximate]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in (z) around 0 2.220 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 2.220 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 2.220 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 2.220 * [taylor]: Taking taylor expansion of z in z 2.220 * [taylor]: Taking taylor expansion of 1.0 in z 2.222 * [taylor]: Taking taylor expansion of (sqrt z) in z 2.222 * [taylor]: Taking taylor expansion of z in z 2.223 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 2.223 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 2.223 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 2.223 * [taylor]: Taking taylor expansion of z in z 2.223 * [taylor]: Taking taylor expansion of 1.0 in z 2.225 * [taylor]: Taking taylor expansion of (sqrt z) in z 2.225 * [taylor]: Taking taylor expansion of z in z 2.245 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in (z) around 0 2.245 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 2.245 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 2.245 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 2.245 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.245 * [taylor]: Taking taylor expansion of z in z 2.245 * [taylor]: Taking taylor expansion of 1.0 in z 2.247 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 2.247 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.247 * [taylor]: Taking taylor expansion of z in z 2.248 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 2.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 2.248 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 2.248 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.248 * [taylor]: Taking taylor expansion of z in z 2.248 * [taylor]: Taking taylor expansion of 1.0 in z 2.249 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 2.249 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.250 * [taylor]: Taking taylor expansion of z in z 2.265 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in (z) around 0 2.265 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 2.265 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 2.265 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 2.265 * [taylor]: Taking taylor expansion of 1.0 in z 2.265 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.265 * [taylor]: Taking taylor expansion of z in z 2.267 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 2.267 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.267 * [taylor]: Taking taylor expansion of -1 in z 2.267 * [taylor]: Taking taylor expansion of z in z 2.269 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 2.269 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 2.269 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 2.269 * [taylor]: Taking taylor expansion of 1.0 in z 2.269 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.269 * [taylor]: Taking taylor expansion of z in z 2.270 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 2.270 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.270 * [taylor]: Taking taylor expansion of -1 in z 2.270 * [taylor]: Taking taylor expansion of z in z 2.293 * * * [progress]: simplifying candidates 2.297 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt 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(sqrt (+ z 1.0))) (cbrt (sqrt (+ z 1.0)))) (cbrt (sqrt (+ z 1.0)))) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (* (* (cbrt (sqrt (+ z 1.0))) (cbrt (sqrt (+ z 1.0)))) (cbrt (sqrt (+ z 1.0)))) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (fma (sqrt (cbrt (+ z 1.0))) (fabs (cbrt (+ z 1.0))) (- (sqrt z))) (fma (- (sqrt z)) 1 (sqrt z)) (fma (sqrt (cbrt (+ z 1.0))) (fabs (cbrt (+ z 1.0))) (* (sqrt (cbrt z)) (- (fabs (cbrt z))))) (* (sqrt (cbrt z)) (+ (- (fabs (cbrt z))) (fabs (cbrt z)))) (fma (sqrt (cbrt (+ z 1.0))) (fabs (cbrt (+ z 1.0))) (- (sqrt z))) (fma (- (sqrt z)) 1 (sqrt z)) (fma (sqrt (cbrt (+ z 1.0))) (fabs (cbrt (+ z 1.0))) (- (sqrt z))) (fma (- (sqrt z)) 1 (sqrt z)) (fma (sqrt (cbrt (+ z 1.0))) (fabs (cbrt (+ z 1.0))) (- (sqrt z))) (fma (- (sqrt z)) 1 (sqrt z)) (fma (sqrt (cbrt (+ z 1.0))) (fabs (cbrt (+ z 1.0))) (- (sqrt z))) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (* (fabs (cbrt z)) (sqrt (cbrt z)))) (* (sqrt (cbrt z)) (+ (- (fabs (cbrt z))) (fabs (cbrt z)))) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (* (fabs (cbrt z)) (sqrt (cbrt z)))) (* (sqrt (cbrt z)) (+ (- (fabs (cbrt z))) (fabs (cbrt z)))) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (* (fabs (cbrt z)) (sqrt (cbrt z)))) (* (sqrt (cbrt z)) (+ (- (fabs (cbrt z))) (fabs (cbrt z)))) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (* (fabs (cbrt z)) (sqrt (cbrt z)))) (* (sqrt (cbrt z)) (+ (- (fabs (cbrt z))) (fabs (cbrt z)))) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (* (fabs (cbrt z)) (sqrt (cbrt z)))) (* (sqrt (cbrt z)) (+ (- (fabs (cbrt z))) (fabs (cbrt z)))) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (expm1 (- (sqrt (+ z 1.0)) (sqrt z))) (log1p (- (sqrt (+ z 1.0)) (sqrt z))) (- (sqrt z)) (- (sqrt z)) (- (sqrt z)) (- (sqrt z)) (- (sqrt z)) (- (sqrt z)) (- (sqrt z)) (exp (- (sqrt (+ z 1.0)) (sqrt z))) (log (- (sqrt (+ z 1.0)) (sqrt z))) (exp (- (sqrt (+ z 1.0)) (sqrt z))) (* (cbrt (- (sqrt (+ z 1.0)) (sqrt z))) (cbrt (- (sqrt (+ z 1.0)) (sqrt z)))) (cbrt (- (sqrt (+ z 1.0)) (sqrt z))) (pow (- (sqrt (+ z 1.0)) (sqrt z)) 3) (sqrt (- (sqrt (+ z 1.0)) (sqrt z))) (sqrt (- (sqrt (+ z 1.0)) (sqrt z))) (- (pow (sqrt (+ z 1.0)) 3) (pow (sqrt z) 3)) (+ (+ (fma (sqrt z) (sqrt (+ z 1.0)) z) z) 1.0) (- (sqrt z)) (+ z (- 1.0 z)) (+ (sqrt (+ z 1.0)) (sqrt z)) (+ (sqrt (sqrt (+ z 1.0))) (sqrt (sqrt z))) (- (sqrt (sqrt (+ z 1.0))) (sqrt (sqrt z))) (+ (sqrt (sqrt (+ z 1.0))) (sqrt (sqrt z))) (- (sqrt (sqrt (+ z 1.0))) (sqrt (sqrt z))) (+ (sqrt (sqrt (+ z 1.0))) (sqrt (sqrt z))) (- (sqrt (sqrt (+ z 1.0))) (sqrt (sqrt z))) (+ (sqrt (sqrt (+ z 1.0))) (sqrt (sqrt z))) (- (sqrt (sqrt (+ z 1.0))) (sqrt (sqrt z))) (- (sqrt (+ z 1.0)) (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (- (sqrt z)) (+ (- (fma 1/2 (/ t (sqrt 1.0)) (sqrt 1.0)) (fma t +nan.0 (* 1/8 (/ (pow t 2) (pow (sqrt 1.0) 3))))) (* +nan.0 (pow t 2))) (+ (fma +nan.0 (/ 1 (pow t 2)) (- +nan.0)) (/ (- +nan.0) t)) (+ (fma +nan.0 (/ 1 (pow t 2)) (- +nan.0)) (/ (- +nan.0) t)) 1.0 1.0 1.0 (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (fma 1/2 (/ z (sqrt 1.0)) (sqrt 1.0)) (* 1/8 (/ (pow z 2) (pow (sqrt 1.0) 3)))) (* +nan.0 (- (pow z 2) z))) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) 2.384 * * * [progress]: adding candidates to table 3.029 * * [progress]: iteration 3 / 4 3.029 * * * [progress]: picking best candidate 3.089 * * * * [pick]: Picked # 3.089 * * * [progress]: localizing error 3.118 * * * [progress]: generating rewritten candidates 3.118 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.128 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 3.137 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 3.147 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 3.168 * * * [progress]: generating series expansions 3.168 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.168 * [approximate]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in (t) around 0 3.168 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 3.168 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 3.168 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 3.168 * [taylor]: Taking taylor expansion of t in t 3.168 * [taylor]: Taking taylor expansion of 1.0 in t 3.170 * [taylor]: Taking taylor expansion of (sqrt t) in t 3.170 * [taylor]: Taking taylor expansion of t in t 3.171 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 3.171 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 3.171 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 3.171 * [taylor]: Taking taylor expansion of t in t 3.171 * [taylor]: Taking taylor expansion of 1.0 in t 3.173 * [taylor]: Taking taylor expansion of (sqrt t) in t 3.173 * [taylor]: Taking taylor expansion of t in t 3.200 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in (t) around 0 3.200 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 3.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 3.200 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 3.200 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.200 * [taylor]: Taking taylor expansion of t in t 3.200 * [taylor]: Taking taylor expansion of 1.0 in t 3.201 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 3.201 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.201 * [taylor]: Taking taylor expansion of t in t 3.202 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 3.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 3.203 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 3.203 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.203 * [taylor]: Taking taylor expansion of t in t 3.203 * [taylor]: Taking taylor expansion of 1.0 in t 3.204 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 3.204 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.204 * [taylor]: Taking taylor expansion of t in t 3.220 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in (t) around 0 3.220 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 3.220 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 3.220 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 3.220 * [taylor]: Taking taylor expansion of 1.0 in t 3.220 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.220 * [taylor]: Taking taylor expansion of t in t 3.222 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 3.222 * [taylor]: Taking taylor expansion of (/ -1 t) in t 3.222 * [taylor]: Taking taylor expansion of -1 in t 3.222 * [taylor]: Taking taylor expansion of t in t 3.223 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 3.223 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 3.223 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 3.223 * [taylor]: Taking taylor expansion of 1.0 in t 3.223 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.223 * [taylor]: Taking taylor expansion of t in t 3.225 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 3.225 * [taylor]: Taking taylor expansion of (/ -1 t) in t 3.225 * [taylor]: Taking taylor expansion of -1 in t 3.225 * [taylor]: Taking taylor expansion of t in t 3.242 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 3.242 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 3.242 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 3.242 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.242 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.242 * [taylor]: Taking taylor expansion of x in x 3.242 * [taylor]: Taking taylor expansion of 1.0 in x 3.243 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.243 * [taylor]: Taking taylor expansion of x in x 3.244 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 3.245 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.245 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.245 * [taylor]: Taking taylor expansion of x in x 3.245 * [taylor]: Taking taylor expansion of 1.0 in x 3.246 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.246 * [taylor]: Taking taylor expansion of x in x 3.272 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 3.272 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 3.272 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.272 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.272 * [taylor]: Taking taylor expansion of 1.0 in x 3.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.272 * [taylor]: Taking taylor expansion of x in x 3.273 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.273 * [taylor]: Taking taylor expansion of x in x 3.275 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 3.275 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.275 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.275 * [taylor]: Taking taylor expansion of 1.0 in x 3.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.275 * [taylor]: Taking taylor expansion of x in x 3.276 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.276 * [taylor]: Taking taylor expansion of x in x 3.292 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 3.292 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 3.292 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.292 * [taylor]: Taking taylor expansion of 1.0 in x 3.292 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.292 * [taylor]: Taking taylor expansion of x in x 3.294 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.294 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.294 * [taylor]: Taking taylor expansion of -1 in x 3.294 * [taylor]: Taking taylor expansion of x in x 3.295 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 3.295 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.295 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.295 * [taylor]: Taking taylor expansion of 1.0 in x 3.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.295 * [taylor]: Taking taylor expansion of x in x 3.297 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.297 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.297 * [taylor]: Taking taylor expansion of -1 in x 3.297 * [taylor]: Taking taylor expansion of x in x 3.313 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 3.313 * [approximate]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in (z) around 0 3.313 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 3.313 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 3.313 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 3.313 * [taylor]: Taking taylor expansion of z in z 3.313 * [taylor]: Taking taylor expansion of 1.0 in z 3.315 * [taylor]: Taking taylor expansion of (sqrt z) in z 3.315 * [taylor]: Taking taylor expansion of z in z 3.316 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 3.316 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 3.316 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 3.316 * [taylor]: Taking taylor expansion of z in z 3.316 * [taylor]: Taking taylor expansion of 1.0 in z 3.318 * [taylor]: Taking taylor expansion of (sqrt z) in z 3.318 * [taylor]: Taking taylor expansion of z in z 3.339 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in (z) around 0 3.339 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 3.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 3.340 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 3.340 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.340 * [taylor]: Taking taylor expansion of z in z 3.340 * [taylor]: Taking taylor expansion of 1.0 in z 3.341 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 3.341 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.341 * [taylor]: Taking taylor expansion of z in z 3.342 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 3.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 3.343 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 3.343 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.343 * [taylor]: Taking taylor expansion of z in z 3.343 * [taylor]: Taking taylor expansion of 1.0 in z 3.344 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 3.344 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.344 * [taylor]: Taking taylor expansion of z in z 3.366 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in (z) around 0 3.366 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 3.367 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 3.367 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 3.367 * [taylor]: Taking taylor expansion of 1.0 in z 3.367 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.367 * [taylor]: Taking taylor expansion of z in z 3.368 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 3.368 * [taylor]: Taking taylor expansion of (/ -1 z) in z 3.368 * [taylor]: Taking taylor expansion of -1 in z 3.368 * [taylor]: Taking taylor expansion of z in z 3.370 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 3.370 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 3.370 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 3.370 * [taylor]: Taking taylor expansion of 1.0 in z 3.370 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.370 * [taylor]: Taking taylor expansion of z in z 3.371 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 3.371 * [taylor]: Taking taylor expansion of (/ -1 z) in z 3.372 * [taylor]: Taking taylor expansion of -1 in z 3.372 * [taylor]: Taking taylor expansion of z in z 3.388 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 3.388 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) in (y) around 0 3.388 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) in y 3.388 * [taylor]: Taking taylor expansion of 1.0 in y 3.388 * [taylor]: Taking taylor expansion of (+ (sqrt (+ y 1.0)) (sqrt y)) in y 3.388 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 3.388 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 3.389 * [taylor]: Taking taylor expansion of y in y 3.389 * [taylor]: Taking taylor expansion of 1.0 in y 3.390 * [taylor]: Taking taylor expansion of (sqrt y) in y 3.390 * [taylor]: Taking taylor expansion of y in y 3.393 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) in y 3.393 * [taylor]: Taking taylor expansion of 1.0 in y 3.393 * [taylor]: Taking taylor expansion of (+ (sqrt (+ y 1.0)) (sqrt y)) in y 3.393 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 3.393 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 3.393 * [taylor]: Taking taylor expansion of y in y 3.393 * [taylor]: Taking taylor expansion of 1.0 in y 3.394 * [taylor]: Taking taylor expansion of (sqrt y) in y 3.394 * [taylor]: Taking taylor expansion of y in y 3.477 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0)))) in (y) around 0 3.477 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0)))) in y 3.477 * [taylor]: Taking taylor expansion of 1.0 in y 3.477 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0))) in y 3.477 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 3.477 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.477 * [taylor]: Taking taylor expansion of y in y 3.479 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 3.479 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 3.479 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.479 * [taylor]: Taking taylor expansion of y in y 3.479 * [taylor]: Taking taylor expansion of 1.0 in y 3.481 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0)))) in y 3.482 * [taylor]: Taking taylor expansion of 1.0 in y 3.482 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0))) in y 3.482 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 3.482 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.482 * [taylor]: Taking taylor expansion of y in y 3.483 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 3.483 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 3.483 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.483 * [taylor]: Taking taylor expansion of y in y 3.483 * [taylor]: Taking taylor expansion of 1.0 in y 3.504 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y))))) in (y) around 0 3.505 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y))))) in y 3.505 * [taylor]: Taking taylor expansion of 1.0 in y 3.505 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y)))) in y 3.505 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 3.505 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.505 * [taylor]: Taking taylor expansion of -1 in y 3.505 * [taylor]: Taking taylor expansion of y in y 3.506 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 3.506 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 3.506 * [taylor]: Taking taylor expansion of 1.0 in y 3.506 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.506 * [taylor]: Taking taylor expansion of y in y 3.509 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y))))) in y 3.509 * [taylor]: Taking taylor expansion of 1.0 in y 3.509 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y)))) in y 3.509 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 3.509 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.509 * [taylor]: Taking taylor expansion of -1 in y 3.509 * [taylor]: Taking taylor expansion of y in y 3.510 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 3.510 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 3.510 * [taylor]: Taking taylor expansion of 1.0 in y 3.510 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.510 * [taylor]: Taking taylor expansion of y in y 3.538 * * * [progress]: simplifying candidates 3.543 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt (sqrt t)) (sqrt 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(sqrt (+ t 1.0)) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt 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(sqrt (+ t 1.0))) (sqrt (sqrt t))) (+ (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (+ t 1.0)) (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (- (sqrt t)) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 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3619 ) 3.577 * * [simplify]: iteration 1 : 3176 enodes (cost 2584 ) 3.631 * * [simplify]: iteration 2 : 5002 enodes (cost 2530 ) 3.645 * [simplify]: Simplified to: (- (* (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0)))) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (* (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0)))) (* (fabs (cbrt t)) (sqrt (cbrt t)))) (* (sqrt (cbrt t)) (+ (- (fabs (cbrt t))) (fabs (cbrt t)))) (- (* (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0)))) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (* (sqrt t) (+ (- (sqrt 1)) (sqrt 1))) (- (* (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0)))) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (* (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0)))) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (fma (sqrt (cbrt 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(/ 1 (sqrt 1)) (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) 1 (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) (/ 1 (+ (sqrt (+ y 1.0)) (sqrt y))) (/ (+ (sqrt (+ y 1.0)) (sqrt y)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))) (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (/ 1.0 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) 1.0 (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt 1)) 1.0 (/ (+ (sqrt (+ y 1.0)) (sqrt y)) (cbrt 1.0)) (/ (+ (sqrt (+ y 1.0)) (sqrt y)) (sqrt 1.0)) (/ (+ (sqrt (+ y 1.0)) (sqrt y)) 1.0) (/ 1.0 (+ (pow (sqrt (+ y 1.0)) 3) (pow (sqrt y) 3))) (/ 1.0 (* (+ y (- 1.0 y)) 1)) (+ (- (fma 1/2 (/ t (sqrt 1.0)) (sqrt 1.0)) (fma t +nan.0 (* 1/8 (/ (pow t 2) (pow (sqrt 1.0) 3))))) (* +nan.0 (pow t 2))) (+ (fma +nan.0 (/ 1 (pow t 2)) (- +nan.0)) (/ (- +nan.0) t)) (+ (fma +nan.0 (/ 1 (pow t 2)) (- +nan.0)) (/ (- +nan.0) t)) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (fma 1/2 (/ z (sqrt 1.0)) (sqrt 1.0)) (* 1/8 (/ (pow z 2) (pow (sqrt 1.0) 3)))) (* +nan.0 (- (pow z 2) z))) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) (+ (- (fma 1.0 (/ 1 (sqrt 1.0)) (* 0.375 (/ (pow y 2) (pow (sqrt 1.0) 5)))) (fma +nan.0 (/ y (pow (sqrt 1.0) 2)) (* 0.5 (/ y (pow (sqrt 1.0) 3))))) (+ (- (* +nan.0 (/ (pow y 2) (pow (sqrt 1.0) 2))) (* +nan.0 (/ (pow y 2) (pow (sqrt 1.0) 3)))) (* +nan.0 (* (/ y 1.0) (/ y 1.0))))) (+ (fma +nan.0 (/ 1 (pow y 2)) (- +nan.0)) (/ (- +nan.0) y)) (+ (fma +nan.0 (/ 1 (pow y 2)) (- +nan.0)) (/ (- +nan.0) y)) 3.647 * * * [progress]: adding candidates to table 4.477 * * [progress]: iteration 4 / 4 4.477 * * * [progress]: picking best candidate 4.552 * * * * [pick]: Picked # 4.552 * * * [progress]: localizing error 4.581 * * * [progress]: generating rewritten candidates 4.582 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.591 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 4.603 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 4.613 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 4.672 * * * [progress]: generating series expansions 4.672 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.672 * [approximate]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in (t) around 0 4.672 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 4.672 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 4.672 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 4.672 * [taylor]: Taking taylor expansion of t in t 4.672 * [taylor]: Taking taylor expansion of 1.0 in t 4.674 * [taylor]: Taking taylor expansion of (sqrt t) in t 4.674 * [taylor]: Taking taylor expansion of t in t 4.675 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 4.675 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 4.675 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 4.675 * [taylor]: Taking taylor expansion of t in t 4.675 * [taylor]: Taking taylor expansion of 1.0 in t 4.677 * [taylor]: Taking taylor expansion of (sqrt t) in t 4.677 * [taylor]: Taking taylor expansion of t in t 4.698 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in (t) around 0 4.698 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 4.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 4.699 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 4.699 * [taylor]: Taking taylor expansion of (/ 1 t) in t 4.699 * [taylor]: Taking taylor expansion of t in t 4.699 * [taylor]: Taking taylor expansion of 1.0 in t 4.700 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 4.700 * [taylor]: Taking taylor expansion of (/ 1 t) in t 4.700 * [taylor]: Taking taylor expansion of t in t 4.701 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 4.701 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 4.701 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 4.701 * [taylor]: Taking taylor expansion of (/ 1 t) in t 4.701 * [taylor]: Taking taylor expansion of t in t 4.702 * [taylor]: Taking taylor expansion of 1.0 in t 4.703 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 4.703 * [taylor]: Taking taylor expansion of (/ 1 t) in t 4.703 * [taylor]: Taking taylor expansion of t in t 4.719 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in (t) around 0 4.719 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 4.719 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 4.719 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 4.719 * [taylor]: Taking taylor expansion of 1.0 in t 4.719 * [taylor]: Taking taylor expansion of (/ 1 t) in t 4.719 * [taylor]: Taking taylor expansion of t in t 4.721 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 4.721 * [taylor]: Taking taylor expansion of (/ -1 t) in t 4.721 * [taylor]: Taking taylor expansion of -1 in t 4.721 * [taylor]: Taking taylor expansion of t in t 4.722 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 4.722 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 4.722 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 4.722 * [taylor]: Taking taylor expansion of 1.0 in t 4.722 * [taylor]: Taking taylor expansion of (/ 1 t) in t 4.722 * [taylor]: Taking taylor expansion of t in t 4.724 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 4.724 * [taylor]: Taking taylor expansion of (/ -1 t) in t 4.724 * [taylor]: Taking taylor expansion of -1 in t 4.724 * [taylor]: Taking taylor expansion of t in t 4.740 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 4.741 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 4.741 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 4.741 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.741 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.741 * [taylor]: Taking taylor expansion of x in x 4.741 * [taylor]: Taking taylor expansion of 1.0 in x 4.742 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.742 * [taylor]: Taking taylor expansion of x in x 4.750 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 4.750 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.750 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.750 * [taylor]: Taking taylor expansion of x in x 4.750 * [taylor]: Taking taylor expansion of 1.0 in x 4.752 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.752 * [taylor]: Taking taylor expansion of x in x 4.772 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 4.773 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 4.773 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.773 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.773 * [taylor]: Taking taylor expansion of 1.0 in x 4.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.773 * [taylor]: Taking taylor expansion of x in x 4.774 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.774 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.774 * [taylor]: Taking taylor expansion of x in x 4.775 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 4.775 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.775 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.775 * [taylor]: Taking taylor expansion of 1.0 in x 4.775 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.775 * [taylor]: Taking taylor expansion of x in x 4.777 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.777 * [taylor]: Taking taylor expansion of x in x 4.793 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 4.793 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 4.793 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.793 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.793 * [taylor]: Taking taylor expansion of 1.0 in x 4.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.793 * [taylor]: Taking taylor expansion of x in x 4.794 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.795 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.795 * [taylor]: Taking taylor expansion of -1 in x 4.795 * [taylor]: Taking taylor expansion of x in x 4.796 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 4.796 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.796 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.796 * [taylor]: Taking taylor expansion of 1.0 in x 4.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.796 * [taylor]: Taking taylor expansion of x in x 4.798 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.798 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.798 * [taylor]: Taking taylor expansion of -1 in x 4.798 * [taylor]: Taking taylor expansion of x in x 4.814 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 4.814 * [approximate]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in (z) around 0 4.814 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 4.814 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 4.814 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 4.814 * [taylor]: Taking taylor expansion of z in z 4.814 * [taylor]: Taking taylor expansion of 1.0 in z 4.816 * [taylor]: Taking taylor expansion of (sqrt z) in z 4.816 * [taylor]: Taking taylor expansion of z in z 4.817 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 4.817 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 4.817 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 4.817 * [taylor]: Taking taylor expansion of z in z 4.817 * [taylor]: Taking taylor expansion of 1.0 in z 4.819 * [taylor]: Taking taylor expansion of (sqrt z) in z 4.819 * [taylor]: Taking taylor expansion of z in z 4.845 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in (z) around 0 4.845 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 4.846 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 4.846 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 4.846 * [taylor]: Taking taylor expansion of (/ 1 z) in z 4.846 * [taylor]: Taking taylor expansion of z in z 4.846 * [taylor]: Taking taylor expansion of 1.0 in z 4.847 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 4.847 * [taylor]: Taking taylor expansion of (/ 1 z) in z 4.847 * [taylor]: Taking taylor expansion of z in z 4.848 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 4.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 4.848 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 4.848 * [taylor]: Taking taylor expansion of (/ 1 z) in z 4.848 * [taylor]: Taking taylor expansion of z in z 4.849 * [taylor]: Taking taylor expansion of 1.0 in z 4.850 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 4.850 * [taylor]: Taking taylor expansion of (/ 1 z) in z 4.850 * [taylor]: Taking taylor expansion of z in z 4.866 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in (z) around 0 4.866 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 4.866 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 4.866 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 4.866 * [taylor]: Taking taylor expansion of 1.0 in z 4.866 * [taylor]: Taking taylor expansion of (/ 1 z) in z 4.866 * [taylor]: Taking taylor expansion of z in z 4.868 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 4.868 * [taylor]: Taking taylor expansion of (/ -1 z) in z 4.868 * [taylor]: Taking taylor expansion of -1 in z 4.868 * [taylor]: Taking taylor expansion of z in z 4.869 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 4.869 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 4.869 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 4.869 * [taylor]: Taking taylor expansion of 1.0 in z 4.869 * [taylor]: Taking taylor expansion of (/ 1 z) in z 4.869 * [taylor]: Taking taylor expansion of z in z 4.871 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 4.871 * [taylor]: Taking taylor expansion of (/ -1 z) in z 4.871 * [taylor]: Taking taylor expansion of -1 in z 4.871 * [taylor]: Taking taylor expansion of z in z 4.887 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 4.888 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) in (y) around 0 4.888 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) in y 4.888 * [taylor]: Taking taylor expansion of 1.0 in y 4.888 * [taylor]: Taking taylor expansion of (+ (sqrt (+ y 1.0)) (sqrt y)) in y 4.888 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 4.888 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 4.888 * [taylor]: Taking taylor expansion of y in y 4.888 * [taylor]: Taking taylor expansion of 1.0 in y 4.890 * [taylor]: Taking taylor expansion of (sqrt y) in y 4.890 * [taylor]: Taking taylor expansion of y in y 4.892 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) in y 4.892 * [taylor]: Taking taylor expansion of 1.0 in y 4.892 * [taylor]: Taking taylor expansion of (+ (sqrt (+ y 1.0)) (sqrt y)) in y 4.892 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 4.892 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 4.892 * [taylor]: Taking taylor expansion of y in y 4.892 * [taylor]: Taking taylor expansion of 1.0 in y 4.893 * [taylor]: Taking taylor expansion of (sqrt y) in y 4.893 * [taylor]: Taking taylor expansion of y in y 4.973 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0)))) in (y) around 0 4.973 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0)))) in y 4.973 * [taylor]: Taking taylor expansion of 1.0 in y 4.973 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0))) in y 4.973 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 4.973 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.973 * [taylor]: Taking taylor expansion of y in y 4.974 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 4.974 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 4.974 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.974 * [taylor]: Taking taylor expansion of y in y 4.975 * [taylor]: Taking taylor expansion of 1.0 in y 4.977 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0)))) in y 4.977 * [taylor]: Taking taylor expansion of 1.0 in y 4.977 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0))) in y 4.977 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 4.977 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.977 * [taylor]: Taking taylor expansion of y in y 4.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 4.978 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 4.978 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.978 * [taylor]: Taking taylor expansion of y in y 4.978 * [taylor]: Taking taylor expansion of 1.0 in y 5.005 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y))))) in (y) around 0 5.005 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y))))) in y 5.005 * [taylor]: Taking taylor expansion of 1.0 in y 5.005 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y)))) in y 5.005 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 5.005 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.005 * [taylor]: Taking taylor expansion of -1 in y 5.005 * [taylor]: Taking taylor expansion of y in y 5.006 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 5.006 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 5.006 * [taylor]: Taking taylor expansion of 1.0 in y 5.006 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.006 * [taylor]: Taking taylor expansion of y in y 5.009 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y))))) in y 5.009 * [taylor]: Taking taylor expansion of 1.0 in y 5.009 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y)))) in y 5.009 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 5.009 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.009 * [taylor]: Taking taylor expansion of -1 in y 5.009 * [taylor]: Taking taylor expansion of y in y 5.011 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 5.011 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 5.011 * [taylor]: Taking taylor expansion of 1.0 in y 5.011 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.011 * [taylor]: Taking taylor expansion of y in y 5.031 * * * [progress]: simplifying candidates 5.037 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 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1.0)) 3/2))) (/ (/ 1.0 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (sqrt (- (* (sqrt (+ y 1.0)) (sqrt (+ y 1.0))) (* (sqrt y) (sqrt y))))) (* (cbrt (/ 1 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (/ 1.0 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (* (sqrt (/ 1 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (/ 1.0 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (* (/ (cbrt 1) (cbrt (sqrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (/ 1.0 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (* (/ (cbrt 1) (sqrt (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (/ 1.0 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (* (/ (cbrt 1) (sqrt (sqrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (/ 1.0 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (* (/ (cbrt 1) (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (/ 1.0 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (* (/ (cbrt 1) (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (/ 1.0 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (* (/ (cbrt 1) (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (/ 1.0 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (* (/ (cbrt 1) (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) 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(/ (/ 1.0 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (sqrt (sqrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) (/ (/ 1.0 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (sqrt (sqrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) (* (sqrt (+ (* (sqrt (+ y 1.0)) (sqrt (+ y 1.0))) (- (* (sqrt y) (sqrt y)) (* (sqrt (+ y 1.0)) (sqrt y))))) (/ 1.0 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (* (sqrt (- (sqrt (+ y 1.0)) (sqrt y))) (/ 1.0 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (/ 1.0 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (/ 1.0 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (+ (- (fma 1/2 (/ t (sqrt 1.0)) (sqrt 1.0)) (fma t +nan.0 (* 1/8 (/ (pow t 2) (pow (sqrt 1.0) 3))))) (* +nan.0 (pow t 2))) (+ (fma +nan.0 (/ 1 (pow t 2)) (- +nan.0)) (/ (- +nan.0) t)) (+ (fma +nan.0 (/ 1 (pow t 2)) (- +nan.0)) (/ (- +nan.0) t)) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (fma 1/2 (/ z (sqrt 1.0)) (sqrt 1.0)) (* 1/8 (/ (pow z 2) (pow (sqrt 1.0) 3)))) (* +nan.0 (- (pow z 2) z))) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) (+ (- (fma 1.0 (/ 1 (sqrt 1.0)) (* 0.375 (/ (pow y 2) (pow (sqrt 1.0) 5)))) (fma +nan.0 (/ y (pow (sqrt 1.0) 2)) (* 0.5 (/ y (pow (sqrt 1.0) 3))))) (+ (- (* +nan.0 (/ (pow y 2) (pow (sqrt 1.0) 2))) (* +nan.0 (/ (pow y 2) (pow (sqrt 1.0) 3)))) (* +nan.0 (* (/ y 1.0) (/ y 1.0))))) (+ (fma +nan.0 (/ 1 (pow y 2)) (- +nan.0)) (/ (- +nan.0) y)) (+ (fma +nan.0 (/ 1 (pow y 2)) (- +nan.0)) (/ (- +nan.0) y)) 5.100 * * * [progress]: adding candidates to table 6.014 * [progress]: [Phase 3 of 3] Extracting. 6.014 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # #) 6.034 * * * [regime-changes]: Trying 10 branch expressions: ((- (sqrt (+ t 1.0)) (sqrt t)) (- (sqrt (+ z 1.0)) (sqrt z)) (- (sqrt (+ y 1.0)) (sqrt y)) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ y 1.0)) (sqrt y))) (+ (+ (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ y 1.0)) (sqrt y))) (- (sqrt (+ z 1.0)) (sqrt z))) t z y x) 6.034 * * * * [regimes]: Trying to branch on (- (sqrt (+ t 1.0)) (sqrt t)) from (# # # # # # # # # # # # # # # #) 6.144 * * * * [regimes]: Trying to branch on (- (sqrt (+ z 1.0)) (sqrt z)) from (# # # # # # # # # # # # # # # #) 6.253 * * * * [regimes]: Trying to branch on (- (sqrt (+ y 1.0)) (sqrt y)) from (# # # # # # # # # # # # # # # #) 6.362 * * * * [regimes]: Trying to branch on (- (sqrt (+ y 1.0)) (sqrt y)) from (# # # # # # # # # #) 6.435 * * * * [regimes]: Trying to branch on (- (sqrt (+ x 1.0)) (sqrt x)) from (# # # # # # # # # # # # # # # #) 6.544 * * * * [regimes]: Trying to branch on (+ (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ y 1.0)) (sqrt y))) from (# # # # # # # # # # # # # # # #) 6.659 * * * * [regimes]: Trying to branch on (+ (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ y 1.0)) (sqrt y))) from (# # # # # #) 6.716 * * * * [regimes]: Trying to branch on (+ (+ (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ y 1.0)) (sqrt y))) (- (sqrt (+ z 1.0)) (sqrt z))) from (# # # # # # # # # # # # # # # #) 6.837 * * * * [regimes]: Trying to branch on (+ (+ (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ y 1.0)) (sqrt y))) (- (sqrt (+ z 1.0)) (sqrt z))) from (# #) 6.878 * * * * [regimes]: Trying to branch on t from (# # # # # # # # # # # # # # # #) 6.986 * * * * [regimes]: Trying to branch on z from (# # # # # # # # # # # # # # # #) 7.094 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # # # # # # #) 7.204 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # # # #) 7.316 * * * [regime]: Found split indices: #