13.733 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.414 * * * [progress]: [2/2] Setting up program. 0.419 * [progress]: [Phase 2 of 3] Improving. 0.419 * [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))) 0.423 * * [simplify]: iteration 0 : 51 enodes (cost 19 ) 0.426 * * [simplify]: iteration 1 : 156 enodes (cost 19 ) 0.430 * * [simplify]: iteration 2 : 907 enodes (cost 19 ) 0.450 * * [simplify]: iteration 3 : 5001 enodes (cost 19 ) 0.450 * [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))) 0.450 * * [progress]: iteration 1 / 4 0.450 * * * [progress]: picking best candidate 0.455 * * * * [pick]: Picked # 0.455 * * * [progress]: localizing error 0.482 * * * [progress]: generating rewritten candidates 0.482 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.492 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.502 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 0.512 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.538 * * * [progress]: generating series expansions 0.539 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.539 * [approximate]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in (z) around 0 0.539 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 0.539 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 0.539 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 0.539 * [taylor]: Taking taylor expansion of z in z 0.539 * [taylor]: Taking taylor expansion of 1.0 in z 0.541 * [taylor]: Taking taylor expansion of (sqrt z) in z 0.541 * [taylor]: Taking taylor expansion of z in z 0.542 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 0.542 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 0.542 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 0.542 * [taylor]: Taking taylor expansion of z in z 0.543 * [taylor]: Taking taylor expansion of 1.0 in z 0.544 * [taylor]: Taking taylor expansion of (sqrt z) in z 0.544 * [taylor]: Taking taylor expansion of z in z 0.571 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in (z) around 0 0.571 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 0.571 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.571 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.571 * [taylor]: Taking taylor expansion of z in z 0.572 * [taylor]: Taking taylor expansion of 1.0 in z 0.573 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 0.573 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.573 * [taylor]: Taking taylor expansion of z in z 0.574 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 0.574 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 0.574 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.574 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.574 * [taylor]: Taking taylor expansion of z in z 0.575 * [taylor]: Taking taylor expansion of 1.0 in z 0.576 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 0.576 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.576 * [taylor]: Taking taylor expansion of z in z 0.593 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in (z) around 0 0.593 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 0.593 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 0.593 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 0.593 * [taylor]: Taking taylor expansion of 1.0 in z 0.593 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.593 * [taylor]: Taking taylor expansion of z in z 0.595 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 0.595 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.595 * [taylor]: Taking taylor expansion of -1 in z 0.595 * [taylor]: Taking taylor expansion of z in z 0.596 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 0.596 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 0.596 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 0.596 * [taylor]: Taking taylor expansion of 1.0 in z 0.596 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.596 * [taylor]: Taking taylor expansion of z in z 0.598 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 0.598 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.598 * [taylor]: Taking taylor expansion of -1 in z 0.598 * [taylor]: Taking taylor expansion of z in z 0.616 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.616 * [approximate]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in (t) around 0 0.616 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 0.616 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 0.616 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 0.616 * [taylor]: Taking taylor expansion of t in t 0.616 * [taylor]: Taking taylor expansion of 1.0 in t 0.618 * [taylor]: Taking taylor expansion of (sqrt t) in t 0.618 * [taylor]: Taking taylor expansion of t in t 0.619 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 0.619 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 0.619 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 0.619 * [taylor]: Taking taylor expansion of t in t 0.619 * [taylor]: Taking taylor expansion of 1.0 in t 0.621 * [taylor]: Taking taylor expansion of (sqrt t) in t 0.621 * [taylor]: Taking taylor expansion of t in t 0.645 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in (t) around 0 0.645 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 0.645 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 0.645 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 0.645 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.645 * [taylor]: Taking taylor expansion of t in t 0.645 * [taylor]: Taking taylor expansion of 1.0 in t 0.647 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 0.647 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.647 * [taylor]: Taking taylor expansion of t in t 0.648 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 0.648 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 0.648 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 0.648 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.648 * [taylor]: Taking taylor expansion of t in t 0.649 * [taylor]: Taking taylor expansion of 1.0 in t 0.650 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 0.650 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.650 * [taylor]: Taking taylor expansion of t in t 0.667 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in (t) around 0 0.667 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 0.667 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 0.667 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 0.667 * [taylor]: Taking taylor expansion of 1.0 in t 0.667 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.667 * [taylor]: Taking taylor expansion of t in t 0.669 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 0.669 * [taylor]: Taking taylor expansion of (/ -1 t) in t 0.669 * [taylor]: Taking taylor expansion of -1 in t 0.669 * [taylor]: Taking taylor expansion of t in t 0.670 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 0.670 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 0.670 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 0.670 * [taylor]: Taking taylor expansion of 1.0 in t 0.670 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.670 * [taylor]: Taking taylor expansion of t in t 0.672 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 0.672 * [taylor]: Taking taylor expansion of (/ -1 t) in t 0.672 * [taylor]: Taking taylor expansion of -1 in t 0.672 * [taylor]: Taking taylor expansion of t in t 0.690 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 0.690 * [approximate]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in (y) around 0 0.690 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 0.690 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 0.690 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.690 * [taylor]: Taking taylor expansion of y in y 0.690 * [taylor]: Taking taylor expansion of 1.0 in y 0.692 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.692 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 0.693 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 0.693 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.693 * [taylor]: Taking taylor expansion of y in y 0.693 * [taylor]: Taking taylor expansion of 1.0 in y 0.695 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.719 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in (y) around 0 0.719 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 0.719 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.719 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.719 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.719 * [taylor]: Taking taylor expansion of y in y 0.720 * [taylor]: Taking taylor expansion of 1.0 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 y in y 0.723 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 0.723 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.723 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.723 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.723 * [taylor]: Taking taylor expansion of y in y 0.723 * [taylor]: Taking taylor expansion of 1.0 in y 0.724 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.724 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.742 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in (y) around 0 0.742 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 0.742 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.742 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.742 * [taylor]: Taking taylor expansion of 1.0 in y 0.742 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.742 * [taylor]: Taking taylor expansion of y in y 0.744 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.744 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.744 * [taylor]: Taking taylor expansion of -1 in y 0.744 * [taylor]: Taking taylor expansion of y in y 0.745 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 0.745 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.745 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.745 * [taylor]: Taking taylor expansion of 1.0 in y 0.745 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.745 * [taylor]: Taking taylor expansion of y in y 0.747 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.747 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.747 * [taylor]: Taking taylor expansion of -1 in y 0.747 * [taylor]: Taking taylor expansion of y in y 0.765 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.765 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.765 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.765 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.765 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of 1.0 in x 0.767 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.767 * [taylor]: Taking taylor expansion of x in x 0.768 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.768 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.768 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.768 * [taylor]: Taking taylor expansion of x in x 0.768 * [taylor]: Taking taylor expansion of 1.0 in x 0.770 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.770 * [taylor]: Taking taylor expansion of x in x 0.795 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.796 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.796 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.796 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.796 * [taylor]: Taking taylor expansion of 1.0 in x 0.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.797 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.799 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.799 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.799 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.799 * [taylor]: Taking taylor expansion of 1.0 in x 0.799 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.818 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.818 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.818 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.818 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.818 * [taylor]: Taking taylor expansion of 1.0 in x 0.818 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.818 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.820 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.820 * [taylor]: Taking taylor expansion of -1 in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.822 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.822 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.822 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.822 * [taylor]: Taking taylor expansion of 1.0 in x 0.822 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.822 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.824 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.824 * [taylor]: Taking taylor expansion of -1 in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.842 * * * [progress]: simplifying candidates 0.847 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ z 1.0))) (cbrt (sqrt (+ z 1.0)))) (cbrt (sqrt (+ z 1.0))) (- (* (cbrt (sqrt z)) (* (cbrt (sqrt z)) (cbrt (sqrt z)))))) (fma (- (cbrt (sqrt z))) (* (cbrt (sqrt z)) (cbrt (sqrt z))) (* (cbrt (sqrt z)) (* (cbrt (sqrt z)) (cbrt (sqrt z))))) (fma (* (cbrt (sqrt (+ z 1.0))) (cbrt (sqrt (+ z 1.0)))) (cbrt (sqrt (+ z 1.0))) (- (* (sqrt (cbrt z)) (sqrt (* (cbrt z) (cbrt z)))))) (fma (- (sqrt (cbrt z))) (sqrt (* (cbrt z) (cbrt z))) (* (sqrt (cbrt z)) (sqrt (* (cbrt z) (cbrt z))))) (fma (* (cbrt (sqrt (+ z 1.0))) (cbrt (sqrt (+ z 1.0)))) (cbrt (sqrt (+ z 1.0))) (- (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (fma (- (sqrt (sqrt z))) (sqrt (sqrt z)) (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (fma (* (cbrt (sqrt (+ z 1.0))) (cbrt (sqrt (+ z 1.0)))) (cbrt (sqrt (+ z 1.0))) (- (* (sqrt z) (sqrt 1)))) (fma (- (sqrt z)) (sqrt 1) (* (sqrt z) (sqrt 1))) (fma (* (cbrt (sqrt (+ z 1.0))) (cbrt (sqrt (+ z 1.0)))) (cbrt (sqrt (+ z 1.0))) (- (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (fma (- (sqrt (sqrt z))) (sqrt (sqrt z)) (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (fma (* (cbrt (sqrt (+ z 1.0))) (cbrt (sqrt (+ z 1.0)))) (cbrt (sqrt (+ z 1.0))) (- (* (sqrt z) 1))) (fma (- (sqrt z)) 1 (* (sqrt z) 1)) (fma (sqrt (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (sqrt (cbrt (+ z 1.0))) (- (* (cbrt (sqrt z)) (* (cbrt (sqrt z)) (cbrt (sqrt z)))))) (fma (- (cbrt (sqrt z))) (* (cbrt (sqrt z)) (cbrt (sqrt z))) (* (cbrt (sqrt z)) (* (cbrt (sqrt z)) (cbrt (sqrt z))))) (fma (sqrt (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (sqrt (cbrt (+ z 1.0))) (- (* (sqrt (cbrt z)) (sqrt (* (cbrt z) (cbrt z)))))) (fma (- (sqrt (cbrt z))) (sqrt (* (cbrt z) (cbrt z))) (* (sqrt (cbrt z)) (sqrt (* (cbrt z) (cbrt z))))) (fma (sqrt (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (sqrt (cbrt (+ z 1.0))) (- (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (fma (- (sqrt (sqrt z))) (sqrt (sqrt z)) (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (fma (sqrt (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (sqrt (cbrt (+ z 1.0))) (- (* (sqrt z) (sqrt 1)))) (fma (- (sqrt z)) (sqrt 1) (* (sqrt z) (sqrt 1))) (fma (sqrt (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (sqrt (cbrt (+ z 1.0))) (- (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (fma (- (sqrt (sqrt z))) (sqrt (sqrt z)) (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (fma (sqrt (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (sqrt (cbrt (+ z 1.0))) (- (* (sqrt z) 1))) (fma (- (sqrt z)) 1 (* (sqrt z) 1)) (fma (sqrt (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0))) (- (* (cbrt (sqrt z)) (* (cbrt (sqrt z)) (cbrt (sqrt z)))))) (fma (- (cbrt (sqrt z))) (* (cbrt (sqrt z)) (cbrt (sqrt z))) (* (cbrt (sqrt z)) (* (cbrt (sqrt z)) (cbrt (sqrt z))))) (fma (sqrt (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0))) (- (* (sqrt (cbrt z)) (sqrt (* (cbrt z) (cbrt z)))))) (fma (- (sqrt (cbrt z))) (sqrt (* (cbrt z) (cbrt z))) (* (sqrt (cbrt z)) (sqrt (* (cbrt z) (cbrt z))))) (fma (sqrt (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0))) (- (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (fma (- (sqrt (sqrt z))) (sqrt (sqrt z)) (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (fma (sqrt (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0))) (- (* (sqrt z) (sqrt 1)))) (fma (- (sqrt z)) (sqrt 1) (* (sqrt z) (sqrt 1))) (fma (sqrt (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0))) (- (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (fma (- (sqrt (sqrt z))) (sqrt (sqrt z)) (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (fma (sqrt (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0))) (- (* (sqrt z) 1))) (fma (- (sqrt z)) 1 (* (sqrt z) 1)) (fma (sqrt 1) (sqrt (+ z 1.0)) (- (* (cbrt (sqrt z)) (* (cbrt (sqrt z)) (cbrt (sqrt z)))))) (fma (- (cbrt (sqrt z))) (* (cbrt (sqrt z)) (cbrt (sqrt z))) (* (cbrt (sqrt z)) (* (cbrt (sqrt z)) (cbrt (sqrt z))))) (fma (sqrt 1) (sqrt (+ z 1.0)) (- (* (sqrt (cbrt z)) (sqrt (* (cbrt z) (cbrt z)))))) (fma (- (sqrt (cbrt z))) (sqrt (* (cbrt z) (cbrt z))) (* (sqrt (cbrt z)) (sqrt (* (cbrt z) (cbrt z))))) (fma (sqrt 1) (sqrt (+ z 1.0)) (- (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (fma (- (sqrt (sqrt z))) (sqrt (sqrt z)) (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (fma (sqrt 1) (sqrt (+ z 1.0)) (- (* (sqrt z) (sqrt 1)))) (fma (- (sqrt z)) (sqrt 1) (* (sqrt z) (sqrt 1))) (fma (sqrt 1) (sqrt (+ z 1.0)) (- (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (fma (- (sqrt (sqrt z))) (sqrt (sqrt z)) (* 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table 1.597 * * [progress]: iteration 2 / 4 1.597 * * * [progress]: picking best candidate 1.700 * * * * [pick]: Picked # 1.700 * * * [progress]: localizing error 1.727 * * * [progress]: generating rewritten candidates 1.727 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.741 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.748 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 1.758 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.782 * * * [progress]: generating series expansions 1.782 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.782 * [approximate]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in (t) around 0 1.782 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 1.782 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 1.782 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 1.782 * [taylor]: Taking taylor expansion of t in t 1.782 * [taylor]: Taking taylor expansion of 1.0 in t 1.784 * [taylor]: Taking taylor expansion of (sqrt t) in t 1.784 * [taylor]: Taking taylor expansion of t in t 1.785 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 1.786 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 1.786 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 1.786 * [taylor]: Taking taylor expansion of t in t 1.786 * [taylor]: Taking taylor expansion of 1.0 in t 1.787 * [taylor]: Taking taylor expansion of (sqrt t) in t 1.787 * [taylor]: Taking taylor expansion of t in t 1.809 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in (t) around 0 1.809 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 1.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 1.809 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 1.809 * [taylor]: Taking taylor expansion of (/ 1 t) in t 1.809 * [taylor]: Taking taylor expansion of t in t 1.809 * [taylor]: Taking taylor expansion of 1.0 in t 1.811 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 1.811 * [taylor]: Taking taylor expansion of (/ 1 t) in t 1.811 * [taylor]: Taking taylor expansion of t in t 1.818 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 1.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 1.818 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 1.818 * [taylor]: Taking taylor expansion of (/ 1 t) in t 1.818 * [taylor]: Taking taylor expansion of t in t 1.818 * [taylor]: Taking taylor expansion of 1.0 in t 1.820 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 1.820 * [taylor]: Taking taylor expansion of (/ 1 t) in t 1.820 * [taylor]: Taking taylor expansion of t in t 1.838 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in (t) around 0 1.838 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 1.838 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 1.838 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 1.838 * [taylor]: Taking taylor expansion of 1.0 in t 1.838 * [taylor]: Taking taylor expansion of (/ 1 t) in t 1.838 * [taylor]: Taking taylor expansion of t in t 1.840 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 1.840 * [taylor]: Taking taylor expansion of (/ -1 t) in t 1.840 * [taylor]: Taking taylor expansion of -1 in t 1.840 * [taylor]: Taking taylor expansion of t in t 1.842 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 1.842 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 1.842 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 1.842 * [taylor]: Taking taylor expansion of 1.0 in t 1.842 * [taylor]: Taking taylor expansion of (/ 1 t) in t 1.842 * [taylor]: Taking taylor expansion of t in t 1.843 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 1.844 * [taylor]: Taking taylor expansion of (/ -1 t) in t 1.844 * [taylor]: Taking taylor expansion of -1 in t 1.844 * [taylor]: Taking taylor expansion of t in t 1.861 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.861 * [approximate]: Taking taylor expansion of 1.0 in (z) around 0 1.861 * [taylor]: Taking taylor expansion of 1.0 in z 1.861 * [taylor]: Taking taylor expansion of 1.0 in z 1.862 * [approximate]: Taking taylor expansion of 1.0 in (z) around 0 1.862 * [taylor]: Taking taylor expansion of 1.0 in z 1.862 * [taylor]: Taking taylor expansion of 1.0 in z 1.862 * [approximate]: Taking taylor expansion of 1.0 in (z) around 0 1.862 * [taylor]: Taking taylor expansion of 1.0 in z 1.862 * [taylor]: Taking taylor expansion of 1.0 in z 1.862 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 1.862 * [approximate]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in (y) around 0 1.862 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 1.862 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 1.862 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.862 * [taylor]: Taking taylor expansion of y in y 1.862 * [taylor]: Taking taylor expansion of 1.0 in y 1.865 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.865 * [taylor]: Taking taylor expansion of y in y 1.866 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 1.866 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 1.866 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.866 * [taylor]: Taking taylor expansion of y in y 1.866 * [taylor]: Taking taylor expansion of 1.0 in y 1.868 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.868 * [taylor]: Taking taylor expansion of y in y 1.889 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in (y) around 0 1.889 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 1.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 1.889 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.889 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.889 * [taylor]: Taking taylor expansion of y in y 1.890 * [taylor]: Taking taylor expansion of 1.0 in y 1.891 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.891 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.891 * [taylor]: Taking taylor expansion of y in y 1.892 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 1.892 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 1.892 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.892 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.892 * [taylor]: Taking taylor expansion of y in y 1.893 * [taylor]: Taking taylor expansion of 1.0 in y 1.899 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.899 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.899 * [taylor]: Taking taylor expansion of y in y 1.916 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in (y) around 0 1.916 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 1.916 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 1.917 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.917 * [taylor]: Taking taylor expansion of 1.0 in y 1.917 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.917 * [taylor]: Taking taylor expansion of y in y 1.918 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 1.918 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.918 * [taylor]: Taking taylor expansion of -1 in y 1.919 * [taylor]: Taking taylor expansion of y in y 1.920 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 1.920 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 1.920 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.920 * [taylor]: Taking taylor expansion of 1.0 in y 1.920 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.920 * [taylor]: Taking taylor expansion of y in y 1.922 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 1.922 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.922 * [taylor]: Taking taylor expansion of -1 in y 1.922 * [taylor]: Taking taylor expansion of y in y 1.940 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.940 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 1.940 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 1.940 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.940 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.940 * [taylor]: Taking taylor expansion of x in x 1.940 * [taylor]: Taking taylor expansion of 1.0 in x 1.942 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.942 * [taylor]: Taking taylor expansion of x in x 1.943 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 1.943 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 1.943 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 1.943 * [taylor]: Taking taylor expansion of x in x 1.943 * [taylor]: Taking taylor expansion of 1.0 in x 1.945 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.945 * [taylor]: Taking taylor expansion of x in x 1.966 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 1.966 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 1.966 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.966 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.966 * [taylor]: Taking taylor expansion of 1.0 in x 1.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.966 * [taylor]: Taking taylor expansion of x in x 1.968 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.968 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.968 * [taylor]: Taking taylor expansion of x in x 1.969 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 1.969 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 1.970 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 1.970 * [taylor]: Taking taylor expansion of 1.0 in x 1.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.970 * [taylor]: Taking taylor expansion of x in x 1.971 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.971 * [taylor]: Taking taylor expansion of x in x 1.994 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 1.994 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 1.994 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.994 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.994 * [taylor]: Taking taylor expansion of 1.0 in x 1.994 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.994 * [taylor]: Taking taylor expansion of x in x 1.996 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.996 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.996 * [taylor]: Taking taylor expansion of -1 in x 1.996 * [taylor]: Taking taylor expansion of x in x 1.998 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 1.998 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 1.998 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 1.998 * [taylor]: Taking taylor expansion of 1.0 in x 1.998 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.998 * [taylor]: Taking taylor expansion of x in x 2.000 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.000 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.000 * [taylor]: Taking taylor expansion of -1 in x 2.000 * [taylor]: Taking taylor expansion of x in x 2.017 * * * [progress]: simplifying candidates 2.021 * [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 (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt 1) (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))) 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x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (pow (- (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (+ (fma (sqrt x) (sqrt (+ x 1.0)) x) x) 1.0) (- (sqrt x)) (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (+ (- (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 (/ 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 (/ 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))) 2.112 * * * [progress]: adding candidates to table 2.798 * * [progress]: iteration 3 / 4 2.798 * * * [progress]: picking best candidate 2.866 * * * * [pick]: Picked # 2.866 * * * [progress]: localizing error 2.891 * * * [progress]: generating rewritten candidates 2.891 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.902 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 2.912 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.925 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 2.949 * * * [progress]: generating series expansions 2.949 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.949 * [approximate]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in (t) around 0 2.949 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 2.949 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 2.949 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 2.949 * [taylor]: Taking taylor expansion of t in t 2.949 * [taylor]: Taking taylor expansion of 1.0 in t 2.952 * [taylor]: Taking taylor expansion of (sqrt t) in t 2.952 * [taylor]: Taking taylor expansion of t in t 2.953 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 2.953 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 2.953 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 2.953 * [taylor]: Taking taylor expansion of t in t 2.953 * [taylor]: Taking taylor expansion of 1.0 in t 2.955 * [taylor]: Taking taylor expansion of (sqrt t) in t 2.955 * [taylor]: Taking taylor expansion of t in t 2.977 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in (t) around 0 2.977 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 2.977 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 2.977 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 2.977 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.977 * [taylor]: Taking taylor expansion of t in t 2.978 * [taylor]: Taking taylor expansion of 1.0 in t 2.979 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 2.979 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.979 * [taylor]: Taking taylor expansion of t in t 2.980 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 2.980 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 2.980 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 2.980 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.980 * [taylor]: Taking taylor expansion of t in t 2.981 * [taylor]: Taking taylor expansion of 1.0 in t 2.982 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 2.982 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.982 * [taylor]: Taking taylor expansion of t in t 3.006 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in (t) around 0 3.006 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 3.006 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 3.006 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 3.006 * [taylor]: Taking taylor expansion of 1.0 in t 3.006 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.006 * [taylor]: Taking taylor expansion of t in t 3.008 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 3.008 * [taylor]: Taking taylor expansion of (/ -1 t) in t 3.008 * [taylor]: Taking taylor expansion of -1 in t 3.008 * [taylor]: Taking taylor expansion of t in t 3.009 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 3.009 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 3.009 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 3.009 * [taylor]: Taking taylor expansion of 1.0 in t 3.009 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.009 * [taylor]: Taking taylor expansion of t in t 3.011 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 3.011 * [taylor]: Taking taylor expansion of (/ -1 t) in t 3.011 * [taylor]: Taking taylor expansion of -1 in t 3.011 * [taylor]: Taking taylor expansion of t in t 3.030 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 3.030 * [approximate]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in (y) around 0 3.030 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 3.030 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 3.030 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 3.030 * [taylor]: Taking taylor expansion of y in y 3.030 * [taylor]: Taking taylor expansion of 1.0 in y 3.032 * [taylor]: Taking taylor expansion of (sqrt y) in y 3.032 * [taylor]: Taking taylor expansion of y in y 3.033 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 3.033 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 3.033 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 3.033 * [taylor]: Taking taylor expansion of y in y 3.033 * [taylor]: Taking taylor expansion of 1.0 in y 3.035 * [taylor]: Taking taylor expansion of (sqrt y) in y 3.035 * [taylor]: Taking taylor expansion of y in y 3.056 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in (y) around 0 3.056 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 3.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 3.056 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 3.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.056 * [taylor]: Taking taylor expansion of y in y 3.056 * [taylor]: Taking taylor expansion of 1.0 in y 3.058 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 3.058 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.058 * [taylor]: Taking taylor expansion of y in y 3.059 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 3.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 3.059 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 3.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.059 * [taylor]: Taking taylor expansion of y in y 3.060 * [taylor]: Taking taylor expansion of 1.0 in y 3.061 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 3.061 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.061 * [taylor]: Taking taylor expansion of y in y 3.078 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in (y) around 0 3.078 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 3.078 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 3.078 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 3.078 * [taylor]: Taking taylor expansion of 1.0 in y 3.078 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.078 * [taylor]: Taking taylor expansion of y in y 3.086 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 3.086 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.086 * [taylor]: Taking taylor expansion of -1 in y 3.086 * [taylor]: Taking taylor expansion of y in y 3.088 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 3.088 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 3.088 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 3.088 * [taylor]: Taking taylor expansion of 1.0 in y 3.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.088 * [taylor]: Taking taylor expansion of y in y 3.089 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 3.090 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.090 * [taylor]: Taking taylor expansion of -1 in y 3.090 * [taylor]: Taking taylor expansion of y in y 3.107 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.107 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 3.107 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 3.107 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.107 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.107 * [taylor]: Taking taylor expansion of x in x 3.107 * [taylor]: Taking taylor expansion of 1.0 in x 3.109 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.109 * [taylor]: Taking taylor expansion of x in x 3.110 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 3.110 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.110 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.110 * [taylor]: Taking taylor expansion of x in x 3.110 * [taylor]: Taking taylor expansion of 1.0 in x 3.112 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.112 * [taylor]: Taking taylor expansion of x in x 3.134 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 3.134 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 3.134 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.134 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.134 * [taylor]: Taking taylor expansion of 1.0 in x 3.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.134 * [taylor]: Taking taylor expansion of x in x 3.136 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.136 * [taylor]: Taking taylor expansion of x in x 3.138 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 3.138 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.138 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.138 * [taylor]: Taking taylor expansion of 1.0 in x 3.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.138 * [taylor]: Taking taylor expansion of x in x 3.139 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.139 * [taylor]: Taking taylor expansion of x in x 3.156 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 3.156 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 3.156 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.156 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.156 * [taylor]: Taking taylor expansion of 1.0 in x 3.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.156 * [taylor]: Taking taylor expansion of x in x 3.158 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.158 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.158 * [taylor]: Taking taylor expansion of -1 in x 3.158 * [taylor]: Taking taylor expansion of x in x 3.165 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 3.165 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.165 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.165 * [taylor]: Taking taylor expansion of 1.0 in x 3.165 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.166 * [taylor]: Taking taylor expansion of x in x 3.168 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.168 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.168 * [taylor]: Taking taylor expansion of -1 in x 3.168 * [taylor]: Taking taylor expansion of x in x 3.187 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 3.187 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) in (z) around 0 3.187 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) in z 3.187 * [taylor]: Taking taylor expansion of 1.0 in z 3.187 * [taylor]: Taking taylor expansion of (+ (sqrt (+ z 1.0)) (sqrt z)) in z 3.187 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 3.187 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 3.187 * [taylor]: Taking taylor expansion of z in z 3.187 * [taylor]: Taking taylor expansion of 1.0 in z 3.189 * [taylor]: Taking taylor expansion of (sqrt z) in z 3.189 * [taylor]: Taking taylor expansion of z in z 3.191 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) in z 3.191 * [taylor]: Taking taylor expansion of 1.0 in z 3.191 * [taylor]: Taking taylor expansion of (+ (sqrt (+ z 1.0)) (sqrt z)) in z 3.191 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 3.191 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 3.191 * [taylor]: Taking taylor expansion of z in z 3.191 * [taylor]: Taking taylor expansion of 1.0 in z 3.193 * [taylor]: Taking taylor expansion of (sqrt z) in z 3.193 * [taylor]: Taking taylor expansion of z in z 3.277 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0)))) in (z) around 0 3.277 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0)))) in z 3.277 * [taylor]: Taking taylor expansion of 1.0 in z 3.277 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0))) in z 3.277 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 3.277 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.277 * [taylor]: Taking taylor expansion of z in z 3.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 3.279 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 3.279 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.279 * [taylor]: Taking taylor expansion of z in z 3.279 * [taylor]: Taking taylor expansion of 1.0 in z 3.282 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0)))) in z 3.282 * [taylor]: Taking taylor expansion of 1.0 in z 3.282 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0))) in z 3.282 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 3.282 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.282 * [taylor]: Taking taylor expansion of z in z 3.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 3.283 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 3.283 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.283 * [taylor]: Taking taylor expansion of z in z 3.283 * [taylor]: Taking taylor expansion of 1.0 in z 3.305 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z)))) in (z) around 0 3.305 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z)))) in z 3.305 * [taylor]: Taking taylor expansion of 1.0 in z 3.305 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 3.305 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 3.305 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 3.305 * [taylor]: Taking taylor expansion of 1.0 in z 3.305 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.305 * [taylor]: Taking taylor expansion of z in z 3.307 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 3.307 * [taylor]: Taking taylor expansion of (/ -1 z) in z 3.307 * [taylor]: Taking taylor expansion of -1 in z 3.307 * [taylor]: Taking taylor expansion of z in z 3.310 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z)))) in z 3.310 * [taylor]: Taking taylor expansion of 1.0 in z 3.310 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 3.310 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 3.310 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 3.310 * [taylor]: Taking taylor expansion of 1.0 in z 3.310 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.310 * [taylor]: Taking taylor expansion of z in z 3.312 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 3.312 * [taylor]: Taking taylor expansion of (/ -1 z) in z 3.312 * [taylor]: Taking taylor expansion of -1 in z 3.312 * [taylor]: Taking taylor expansion of z in z 3.341 * * * [progress]: simplifying candidates 3.345 * [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)))))) 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(fma +nan.0 (/ (pow z 2) (pow (sqrt 1.0) 3)) (* 0.5 (/ z (pow (sqrt 1.0) 3))))) (+ (+ (* +nan.0 (/ (pow z 2) (pow (sqrt 1.0) 4))) (/ (- (* +nan.0 z)) 1.0)) (* +nan.0 (/ (pow z 2) (pow (sqrt 1.0) 2))))) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) 3.450 * * * [progress]: adding candidates to table 4.123 * * [progress]: iteration 4 / 4 4.123 * * * [progress]: picking best candidate 4.208 * * * * [pick]: Picked # 4.208 * * * [progress]: localizing error 4.236 * * * [progress]: generating rewritten candidates 4.236 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 4.244 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 4.257 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 4.267 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 4.288 * * * [progress]: generating series expansions 4.288 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 4.288 * [approximate]: Taking taylor expansion of 1.0 in (t) around 0 4.288 * [taylor]: Taking taylor expansion of 1.0 in t 4.288 * [taylor]: Taking taylor expansion of 1.0 in t 4.289 * [approximate]: Taking taylor expansion of 1.0 in (t) around 0 4.289 * [taylor]: Taking taylor expansion of 1.0 in t 4.289 * [taylor]: Taking taylor expansion of 1.0 in t 4.289 * [approximate]: Taking taylor expansion of 1.0 in (t) around 0 4.289 * [taylor]: Taking taylor expansion of 1.0 in t 4.289 * [taylor]: Taking taylor expansion of 1.0 in t 4.289 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 4.289 * [approximate]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in (y) around 0 4.289 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 4.289 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 4.289 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 4.289 * [taylor]: Taking taylor expansion of y in y 4.289 * [taylor]: Taking taylor expansion of 1.0 in y 4.291 * [taylor]: Taking taylor expansion of (sqrt y) in y 4.291 * [taylor]: Taking taylor expansion of y in y 4.293 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 4.293 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 4.293 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 4.293 * [taylor]: Taking taylor expansion of y in y 4.293 * [taylor]: Taking taylor expansion of 1.0 in y 4.295 * [taylor]: Taking taylor expansion of (sqrt y) in y 4.295 * [taylor]: Taking taylor expansion of y in y 4.316 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in (y) around 0 4.316 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 4.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 4.316 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 4.316 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.316 * [taylor]: Taking taylor expansion of y in y 4.316 * [taylor]: Taking taylor expansion of 1.0 in y 4.318 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 4.318 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.318 * [taylor]: Taking taylor expansion of y in y 4.319 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 4.319 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 4.319 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 4.319 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.320 * [taylor]: Taking taylor expansion of y in y 4.320 * [taylor]: Taking taylor expansion of 1.0 in y 4.321 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 4.321 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.321 * [taylor]: Taking taylor expansion of y in y 4.344 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in (y) around 0 4.344 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 4.344 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 4.344 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 4.344 * [taylor]: Taking taylor expansion of 1.0 in y 4.344 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.344 * [taylor]: Taking taylor expansion of y in y 4.346 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 4.346 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.346 * [taylor]: Taking taylor expansion of -1 in y 4.346 * [taylor]: Taking taylor expansion of y in y 4.347 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 4.347 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 4.347 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 4.347 * [taylor]: Taking taylor expansion of 1.0 in y 4.347 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.347 * [taylor]: Taking taylor expansion of y in y 4.349 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 4.349 * [taylor]: Taking taylor expansion of (/ -1 y) in y 4.349 * [taylor]: Taking taylor expansion of -1 in y 4.349 * [taylor]: Taking taylor expansion of y in y 4.367 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.367 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 4.367 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 4.367 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.367 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.367 * [taylor]: Taking taylor expansion of x in x 4.367 * [taylor]: Taking taylor expansion of 1.0 in x 4.369 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.369 * [taylor]: Taking taylor expansion of x in x 4.370 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 4.370 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.370 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.370 * [taylor]: Taking taylor expansion of x in x 4.370 * [taylor]: Taking taylor expansion of 1.0 in x 4.372 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.372 * [taylor]: Taking taylor expansion of x in x 4.393 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 4.393 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 4.393 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.393 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.393 * [taylor]: Taking taylor expansion of 1.0 in x 4.393 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.393 * [taylor]: Taking taylor expansion of x in x 4.395 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.395 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.395 * [taylor]: Taking taylor expansion of x in x 4.396 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 4.396 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.396 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.396 * [taylor]: Taking taylor expansion of 1.0 in x 4.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.396 * [taylor]: Taking taylor expansion of x in x 4.398 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.398 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.398 * [taylor]: Taking taylor expansion of x in x 4.420 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 4.420 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 4.420 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.420 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.420 * [taylor]: Taking taylor expansion of 1.0 in x 4.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.420 * [taylor]: Taking taylor expansion of x in x 4.422 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.422 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.422 * [taylor]: Taking taylor expansion of -1 in x 4.422 * [taylor]: Taking taylor expansion of x in x 4.423 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 4.423 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.423 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.423 * [taylor]: Taking taylor expansion of 1.0 in x 4.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.423 * [taylor]: Taking taylor expansion of x in x 4.425 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.425 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.425 * [taylor]: Taking taylor expansion of -1 in x 4.425 * [taylor]: Taking taylor expansion of x in x 4.442 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 4.443 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) in (z) around 0 4.443 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) in z 4.443 * [taylor]: Taking taylor expansion of 1.0 in z 4.443 * [taylor]: Taking taylor expansion of (+ (sqrt (+ z 1.0)) (sqrt z)) in z 4.443 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 4.443 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 4.443 * [taylor]: Taking taylor expansion of z in z 4.443 * [taylor]: Taking taylor expansion of 1.0 in z 4.445 * [taylor]: Taking taylor expansion of (sqrt z) in z 4.445 * [taylor]: Taking taylor expansion of z in z 4.447 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) in z 4.447 * [taylor]: Taking taylor expansion of 1.0 in z 4.447 * [taylor]: Taking taylor expansion of (+ (sqrt (+ z 1.0)) (sqrt z)) in z 4.447 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 4.447 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 4.447 * [taylor]: Taking taylor expansion of z in z 4.447 * [taylor]: Taking taylor expansion of 1.0 in z 4.449 * [taylor]: Taking taylor expansion of (sqrt z) in z 4.449 * [taylor]: Taking taylor expansion of z in z 4.530 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0)))) in (z) around 0 4.530 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0)))) in z 4.530 * [taylor]: Taking taylor expansion of 1.0 in z 4.530 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0))) in z 4.530 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 4.530 * [taylor]: Taking taylor expansion of (/ 1 z) in z 4.530 * [taylor]: Taking taylor expansion of z in z 4.532 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 4.532 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 4.532 * [taylor]: Taking taylor expansion of (/ 1 z) in z 4.532 * [taylor]: Taking taylor expansion of z in z 4.532 * [taylor]: Taking taylor expansion of 1.0 in z 4.535 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0)))) in z 4.535 * [taylor]: Taking taylor expansion of 1.0 in z 4.535 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0))) in z 4.535 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 4.535 * [taylor]: Taking taylor expansion of (/ 1 z) in z 4.535 * [taylor]: Taking taylor expansion of z in z 4.536 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 4.536 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 4.536 * [taylor]: Taking taylor expansion of (/ 1 z) in z 4.536 * [taylor]: Taking taylor expansion of z in z 4.536 * [taylor]: Taking taylor expansion of 1.0 in z 4.558 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z)))) in (z) around 0 4.558 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z)))) in z 4.558 * [taylor]: Taking taylor expansion of 1.0 in z 4.558 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 4.558 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 4.558 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 4.558 * [taylor]: Taking taylor expansion of 1.0 in z 4.558 * [taylor]: Taking taylor expansion of (/ 1 z) in z 4.558 * [taylor]: Taking taylor expansion of z in z 4.560 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 4.560 * [taylor]: Taking taylor expansion of (/ -1 z) in z 4.560 * [taylor]: Taking taylor expansion of -1 in z 4.560 * [taylor]: Taking taylor expansion of z in z 4.562 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z)))) in z 4.562 * [taylor]: Taking taylor expansion of 1.0 in z 4.562 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 4.562 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 4.562 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 4.562 * [taylor]: Taking taylor expansion of 1.0 in z 4.562 * [taylor]: Taking taylor expansion of (/ 1 z) in z 4.562 * [taylor]: Taking taylor expansion of z in z 4.564 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 4.564 * [taylor]: Taking taylor expansion of (/ -1 z) in z 4.564 * [taylor]: Taking taylor expansion of -1 in z 4.564 * [taylor]: Taking taylor expansion of z in z 4.592 * * * [progress]: simplifying candidates 4.596 * [simplify]: Simplifying using # : (expm1 (+ t (- 1.0 t))) (log1p (+ t (- 1.0 t))) (* (exp t) (/ (exp 1.0) (exp t))) (* (exp t) (exp (- 1.0 t))) (log (+ t (- 1.0 t))) (exp (+ t (- 1.0 t))) (* (cbrt (+ t (- 1.0 t))) (cbrt (+ t (- 1.0 t)))) (cbrt (+ t (- 1.0 t))) (* (* (+ t (- 1.0 t)) (+ t (- 1.0 t))) (+ t (- 1.0 t))) (sqrt (+ t (- 1.0 t))) (sqrt (+ t (- 1.0 t))) (+ (pow t 3) (pow (- 1.0 t) 3)) (+ (* t t) (- (* (- 1.0 t) (- 1.0 t)) (* t (- 1.0 t)))) (- (* t t) (* (- 1.0 t) (- 1.0 t))) (- t (- 1.0 t)) (+ t (- 1.0 t)) (+ t (- 1.0 t)) (+ t (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt t) (* (cbrt t) (cbrt t)))))) (+ t (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt t) (sqrt t))))) (+ t (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* t 1)))) (+ t (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt t) (* (cbrt t) (cbrt t)))))) (+ t (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt t) (sqrt t))))) (+ t (fma (sqrt 1.0) (sqrt 1.0) (- (* t 1)))) (+ t (fma 1 1.0 (- (* (cbrt t) (* (cbrt t) (cbrt t)))))) (+ t (fma 1 1.0 (- (* (sqrt t) (sqrt t))))) (+ t (fma 1 1.0 (- (* t 1)))) (+ t 1.0) (+ t 1.0) (+ t 1.0) (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)) (* (sqrt (sqrt y)) (sqrt (sqrt y)))) (fma (sqrt 1) (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)) (* (sqrt (sqrt y)) (sqrt (sqrt y)))) (fma (sqrt 1) (sqrt (+ 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 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z 1.0)) (sqrt z))) 1 (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) 1 (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) (/ 1 (+ (sqrt (+ z 1.0)) (sqrt z))) (/ (+ (sqrt (+ z 1.0)) (sqrt z)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ z 1.0)) (sqrt z))) (cbrt (+ (sqrt (+ z 1.0)) (sqrt z))))) (/ 1.0 (sqrt (+ (sqrt (+ z 1.0)) (sqrt z)))) 1.0 1.0 1.0 1.0 (/ (+ (sqrt (+ z 1.0)) (sqrt z)) (cbrt 1.0)) (/ (+ (sqrt (+ z 1.0)) (sqrt z)) (sqrt 1.0)) (/ (+ (sqrt (+ z 1.0)) (sqrt z)) 1.0) (/ 1.0 (+ (pow (sqrt (+ z 1.0)) 3) (pow (sqrt z) 3))) (/ 1.0 (* (+ z (- 1.0 z)) 1)) 1.0 1.0 1.0 (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 (/ 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 1.0 (/ 1 (sqrt 1.0)) (* 0.375 (/ (pow z 2) (pow (sqrt 1.0) 5)))) (fma +nan.0 (/ (pow z 2) (pow (sqrt 1.0) 3)) (* 0.5 (/ z (pow (sqrt 1.0) 3))))) (+ (+ (* +nan.0 (/ (pow z 2) (pow (sqrt 1.0) 4))) (/ (- (* +nan.0 z)) 1.0)) (* +nan.0 (/ (pow z 2) (pow (sqrt 1.0) 2))))) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) 4.686 * * * [progress]: adding candidates to table 5.395 * [progress]: [Phase 3 of 3] Extracting. 5.395 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 5.415 * * * [regime-changes]: Trying 9 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))) t z y x) 5.415 * * * * [regimes]: Trying to branch on (- (sqrt (+ t 1.0)) (sqrt t)) from (# # # # # # # # # # # #) 5.507 * * * * [regimes]: Trying to branch on (- (sqrt (+ t 1.0)) (sqrt t)) from (# #) 5.537 * * * * [regimes]: Trying to branch on (- (sqrt (+ z 1.0)) (sqrt z)) from (# # # # # # # # # # # #) 5.629 * * * * [regimes]: Trying to branch on (- (sqrt (+ y 1.0)) (sqrt y)) from (# # # # # # # # # # # #) 5.723 * * * * [regimes]: Trying to branch on (- (sqrt (+ x 1.0)) (sqrt x)) from (# # # # # # # # # # # #) 5.812 * * * * [regimes]: Trying to branch on (+ (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ y 1.0)) (sqrt y))) from (# # # # # # # # # # # #) 5.915 * * * * [regimes]: Trying to branch on t from (# # # # # # # # # # # #) 6.008 * * * * [regimes]: Trying to branch on z from (# # # # # # # # # # # #) 6.099 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # # #) 6.187 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 6.280 * * * [regime]: Found split indices: #