8.279 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.373 * * * [progress]: [2/2] Setting up program. 0.378 * [progress]: [Phase 2 of 3] Improving. 0.379 * [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))) 0.381 * * [simplify]: iteration 0 : 51 enodes (cost 19 ) 0.383 * * [simplify]: iteration 1 : 156 enodes (cost 19 ) 0.387 * * [simplify]: iteration 2 : 907 enodes (cost 19 ) 0.405 * * [simplify]: iteration 3 : 5001 enodes (cost 19 ) 0.406 * [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))) 0.406 * * [progress]: iteration 1 / 4 0.406 * * * [progress]: picking best candidate 0.411 * * * * [pick]: Picked # 0.411 * * * [progress]: localizing error 0.432 * * * [progress]: generating rewritten candidates 0.433 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 0.461 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.490 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.518 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.560 * * * [progress]: generating series expansions 0.561 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 0.561 * [approximate]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in (y) around 0 0.561 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 0.561 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 0.561 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.561 * [taylor]: Taking taylor expansion of y in y 0.561 * [taylor]: Taking taylor expansion of 1.0 in y 0.563 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.563 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 0.564 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 0.564 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.564 * [taylor]: Taking taylor expansion of y in y 0.564 * [taylor]: Taking taylor expansion of 1.0 in y 0.566 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.587 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in (y) around 0 0.587 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 0.587 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.587 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.587 * [taylor]: Taking taylor expansion of y in y 0.587 * [taylor]: Taking taylor expansion of 1.0 in y 0.589 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.589 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.589 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 0.590 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.590 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.590 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.590 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of 1.0 in y 0.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.592 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.592 * [taylor]: Taking taylor expansion of y in y 0.608 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in (y) around 0 0.608 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 0.608 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.608 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.608 * [taylor]: Taking taylor expansion of 1.0 in y 0.608 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.608 * [taylor]: Taking taylor expansion of y in y 0.609 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.609 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.609 * [taylor]: Taking taylor expansion of -1 in y 0.609 * [taylor]: Taking taylor expansion of y in y 0.611 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 0.611 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.611 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.611 * [taylor]: Taking taylor expansion of 1.0 in y 0.611 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.611 * [taylor]: Taking taylor expansion of y in y 0.613 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.613 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.613 * [taylor]: Taking taylor expansion of -1 in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.637 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.637 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.637 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.637 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.637 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.637 * [taylor]: Taking taylor expansion of x in x 0.637 * [taylor]: Taking taylor expansion of 1.0 in x 0.639 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.639 * [taylor]: Taking taylor expansion of x in x 0.640 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.640 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.640 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.640 * [taylor]: Taking taylor expansion of x in x 0.640 * [taylor]: Taking taylor expansion of 1.0 in x 0.642 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.642 * [taylor]: Taking taylor expansion of x in x 0.662 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.662 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.662 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.662 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.662 * [taylor]: Taking taylor expansion of 1.0 in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.665 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.665 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.665 * [taylor]: Taking taylor expansion of 1.0 in x 0.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.666 * [taylor]: Taking taylor expansion of x in x 0.682 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.682 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.682 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.682 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.682 * [taylor]: Taking taylor expansion of 1.0 in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.684 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.684 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.684 * [taylor]: Taking taylor expansion of -1 in x 0.684 * [taylor]: Taking taylor expansion of x in x 0.685 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.685 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.685 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.685 * [taylor]: Taking taylor expansion of 1.0 in x 0.685 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.685 * [taylor]: Taking taylor expansion of x in x 0.687 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.687 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.687 * [taylor]: Taking taylor expansion of -1 in x 0.687 * [taylor]: Taking taylor expansion of x in x 0.703 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.703 * [approximate]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in (z) around 0 0.704 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 0.704 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 0.704 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 0.704 * [taylor]: Taking taylor expansion of z in z 0.704 * [taylor]: Taking taylor expansion of 1.0 in z 0.708 * [taylor]: Taking taylor expansion of (sqrt z) in z 0.708 * [taylor]: Taking taylor expansion of z in z 0.709 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 0.709 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 0.709 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 0.709 * [taylor]: Taking taylor expansion of z in z 0.709 * [taylor]: Taking taylor expansion of 1.0 in z 0.711 * [taylor]: Taking taylor expansion of (sqrt z) in z 0.711 * [taylor]: Taking taylor expansion of z in z 0.731 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in (z) around 0 0.731 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 0.731 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.731 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.731 * [taylor]: Taking taylor expansion of z in z 0.731 * [taylor]: Taking taylor expansion of 1.0 in z 0.733 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 0.733 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.733 * [taylor]: Taking taylor expansion of z in z 0.734 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 0.734 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.734 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.734 * [taylor]: Taking taylor expansion of z in z 0.734 * [taylor]: Taking taylor expansion of 1.0 in z 0.736 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 0.736 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.736 * [taylor]: Taking taylor expansion of z in z 0.752 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in (z) around 0 0.752 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 0.752 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 0.752 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 0.752 * [taylor]: Taking taylor expansion of 1.0 in z 0.752 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.752 * [taylor]: Taking taylor expansion of z in z 0.753 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 0.753 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.754 * [taylor]: Taking taylor expansion of -1 in z 0.754 * [taylor]: Taking taylor expansion of z in z 0.755 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 0.755 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 0.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 0.755 * [taylor]: Taking taylor expansion of 1.0 in z 0.755 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.755 * [taylor]: Taking taylor expansion of z in z 0.757 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 0.757 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.757 * [taylor]: Taking taylor expansion of -1 in z 0.757 * [taylor]: Taking taylor expansion of z in z 0.773 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.773 * [approximate]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in (t) around 0 0.773 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 0.773 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 0.773 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 0.773 * [taylor]: Taking taylor expansion of t in t 0.773 * [taylor]: Taking taylor expansion of 1.0 in t 0.775 * [taylor]: Taking taylor expansion of (sqrt t) in t 0.775 * [taylor]: Taking taylor expansion of t in t 0.776 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 0.776 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 0.776 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 0.776 * [taylor]: Taking taylor expansion of t in t 0.776 * [taylor]: Taking taylor expansion of 1.0 in t 0.778 * [taylor]: Taking taylor expansion of (sqrt t) in t 0.778 * [taylor]: Taking taylor expansion of t in t 0.801 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in (t) around 0 0.801 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 0.801 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 0.801 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 0.801 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.801 * [taylor]: Taking taylor expansion of t in t 0.801 * [taylor]: Taking taylor expansion of 1.0 in t 0.802 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 0.802 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.802 * [taylor]: Taking taylor expansion of t in t 0.804 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 0.804 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 0.804 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 0.804 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.804 * [taylor]: Taking taylor expansion of t in t 0.804 * [taylor]: Taking taylor expansion of 1.0 in t 0.805 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 0.805 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.805 * [taylor]: Taking taylor expansion of t in t 0.821 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in (t) around 0 0.821 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 0.821 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 0.821 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 0.821 * [taylor]: Taking taylor expansion of 1.0 in t 0.822 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.822 * [taylor]: Taking taylor expansion of t in t 0.823 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 0.823 * [taylor]: Taking taylor expansion of (/ -1 t) in t 0.823 * [taylor]: Taking taylor expansion of -1 in t 0.823 * [taylor]: Taking taylor expansion of t in t 0.825 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 0.825 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 0.825 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 0.825 * [taylor]: Taking taylor expansion of 1.0 in t 0.825 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.825 * [taylor]: Taking taylor expansion of t in t 0.826 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 0.826 * [taylor]: Taking taylor expansion of (/ -1 t) in t 0.826 * [taylor]: Taking taylor expansion of -1 in t 0.826 * [taylor]: Taking taylor expansion of t in t 0.843 * * * [progress]: simplifying candidates 0.848 * [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))) 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1.0))) (sqrt (sqrt t))) (- (sqrt (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 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 1/2 (/ 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 1/2 (/ 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)) 0.952 * * * [progress]: adding candidates to table 1.814 * * [progress]: iteration 2 / 4 1.814 * * * [progress]: picking best candidate 1.896 * * * * [pick]: Picked # 1.896 * * * [progress]: localizing error 1.925 * * * [progress]: generating rewritten candidates 1.925 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 1.952 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.980 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.011 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 2.030 * * * [progress]: generating series expansions 2.030 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 2.030 * [approximate]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in (y) around 0 2.030 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 2.031 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 2.031 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 2.031 * [taylor]: Taking taylor expansion of y in y 2.031 * [taylor]: Taking taylor expansion of 1.0 in y 2.033 * [taylor]: Taking taylor expansion of (sqrt y) in y 2.033 * [taylor]: Taking taylor expansion of y in y 2.034 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 2.034 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 2.034 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 2.034 * [taylor]: Taking taylor expansion of y in y 2.034 * [taylor]: Taking taylor expansion of 1.0 in y 2.036 * [taylor]: Taking taylor expansion of (sqrt y) in y 2.036 * [taylor]: Taking taylor expansion of y in y 2.057 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in (y) around 0 2.057 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 2.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 2.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 2.057 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.057 * [taylor]: Taking taylor expansion of y in y 2.057 * [taylor]: Taking taylor expansion of 1.0 in y 2.059 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 2.059 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.059 * [taylor]: Taking taylor expansion of y in y 2.060 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 2.060 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 2.060 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 2.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.060 * [taylor]: Taking taylor expansion of y in y 2.060 * [taylor]: Taking taylor expansion of 1.0 in y 2.062 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 2.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.062 * [taylor]: Taking taylor expansion of y in y 2.084 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in (y) around 0 2.084 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 2.084 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 2.084 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 2.084 * [taylor]: Taking taylor expansion of 1.0 in y 2.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.084 * [taylor]: Taking taylor expansion of y in y 2.086 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 2.086 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.086 * [taylor]: Taking taylor expansion of -1 in y 2.086 * [taylor]: Taking taylor expansion of y in y 2.087 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 2.087 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 2.087 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 2.087 * [taylor]: Taking taylor expansion of 1.0 in y 2.087 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.087 * [taylor]: Taking taylor expansion of y in y 2.089 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 2.089 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.089 * [taylor]: Taking taylor expansion of -1 in y 2.089 * [taylor]: Taking taylor expansion of y in y 2.106 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 2.106 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 2.106 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 2.106 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.106 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.106 * [taylor]: Taking taylor expansion of x in x 2.106 * [taylor]: Taking taylor expansion of 1.0 in x 2.108 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.108 * [taylor]: Taking taylor expansion of x in x 2.109 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 2.109 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.109 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.109 * [taylor]: Taking taylor expansion of x in x 2.109 * [taylor]: Taking taylor expansion of 1.0 in x 2.111 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.111 * [taylor]: Taking taylor expansion of x in x 2.133 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 2.133 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 2.133 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.133 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.133 * [taylor]: Taking taylor expansion of 1.0 in x 2.133 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.133 * [taylor]: Taking taylor expansion of x in x 2.134 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.135 * [taylor]: Taking taylor expansion of x in x 2.136 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 2.136 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.136 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.136 * [taylor]: Taking taylor expansion of 1.0 in x 2.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.136 * [taylor]: Taking taylor expansion of x in x 2.138 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.138 * [taylor]: Taking taylor expansion of x in x 2.160 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 2.160 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.160 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.160 * [taylor]: Taking taylor expansion of 1.0 in x 2.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.160 * [taylor]: Taking taylor expansion of x in x 2.162 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.162 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.162 * [taylor]: Taking taylor expansion of -1 in x 2.162 * [taylor]: Taking taylor expansion of x in x 2.163 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.163 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.163 * [taylor]: Taking taylor expansion of 1.0 in x 2.163 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.163 * [taylor]: Taking taylor expansion of x in x 2.165 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.165 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.165 * [taylor]: Taking taylor expansion of -1 in x 2.165 * [taylor]: Taking taylor expansion of x in x 2.182 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.182 * [approximate]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in (t) around 0 2.182 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 2.182 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 2.182 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 2.182 * [taylor]: Taking taylor expansion of t in t 2.182 * [taylor]: Taking taylor expansion of 1.0 in t 2.184 * [taylor]: Taking taylor expansion of (sqrt t) in t 2.184 * [taylor]: Taking taylor expansion of t in t 2.185 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 2.185 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 2.185 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 2.185 * [taylor]: Taking taylor expansion of t in t 2.185 * [taylor]: Taking taylor expansion of 1.0 in t 2.187 * [taylor]: Taking taylor expansion of (sqrt t) in t 2.187 * [taylor]: Taking taylor expansion of t in t 2.208 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in (t) around 0 2.208 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 2.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 2.208 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 2.208 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.208 * [taylor]: Taking taylor expansion of t in t 2.208 * [taylor]: Taking taylor expansion of 1.0 in t 2.210 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 2.210 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.210 * [taylor]: Taking taylor expansion of t in t 2.211 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 2.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 2.211 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 2.211 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.211 * [taylor]: Taking taylor expansion of t in t 2.211 * [taylor]: Taking taylor expansion of 1.0 in t 2.212 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 2.212 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.212 * [taylor]: Taking taylor expansion of t in t 2.229 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in (t) around 0 2.229 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 2.229 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 2.229 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 2.229 * [taylor]: Taking taylor expansion of 1.0 in t 2.229 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.229 * [taylor]: Taking taylor expansion of t in t 2.231 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 2.231 * [taylor]: Taking taylor expansion of (/ -1 t) in t 2.231 * [taylor]: Taking taylor expansion of -1 in t 2.231 * [taylor]: Taking taylor expansion of t in t 2.232 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 2.232 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 2.232 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 2.232 * [taylor]: Taking taylor expansion of 1.0 in t 2.232 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.232 * [taylor]: Taking taylor expansion of t in t 2.234 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 2.234 * [taylor]: Taking taylor expansion of (/ -1 t) in t 2.234 * [taylor]: Taking taylor expansion of -1 in t 2.234 * [taylor]: Taking taylor expansion of t in t 2.256 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 2.256 * [approximate]: Taking taylor expansion of 1.0 in (z) around 0 2.256 * [taylor]: Taking taylor expansion of 1.0 in z 2.256 * [taylor]: Taking taylor expansion of 1.0 in z 2.256 * [approximate]: Taking taylor expansion of 1.0 in (z) around 0 2.256 * [taylor]: Taking taylor expansion of 1.0 in z 2.256 * [taylor]: Taking taylor expansion of 1.0 in z 2.257 * [approximate]: Taking taylor expansion of 1.0 in (z) around 0 2.257 * [taylor]: Taking taylor expansion of 1.0 in z 2.257 * [taylor]: Taking taylor expansion of 1.0 in z 2.257 * * * [progress]: simplifying candidates 2.261 * [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) 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(fma (- (sqrt t)) 1 (sqrt t)) (fma (sqrt (cbrt (+ t 1.0))) (fabs (cbrt (+ t 1.0))) (- (sqrt t))) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (* (fabs (cbrt t)) (sqrt (cbrt t)))) (* (sqrt (cbrt t)) (+ (- (fabs (cbrt t))) (fabs (cbrt t)))) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (* (fabs (cbrt t)) (sqrt (cbrt t)))) (* (sqrt (cbrt t)) (+ (- (fabs (cbrt t))) (fabs (cbrt t)))) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (* (fabs (cbrt t)) (sqrt (cbrt t)))) (* (sqrt (cbrt t)) (+ (- (fabs (cbrt t))) (fabs (cbrt t)))) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (* (fabs (cbrt t)) (sqrt (cbrt t)))) (* (sqrt (cbrt t)) (+ (- (fabs (cbrt t))) (fabs (cbrt t)))) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (* (fabs (cbrt t)) (sqrt (cbrt t)))) (* (sqrt (cbrt t)) (+ (- (fabs (cbrt t))) (fabs (cbrt t)))) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (expm1 (- (sqrt (+ t 1.0)) (sqrt t))) (log1p (- (sqrt (+ t 1.0)) (sqrt t))) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (exp (- (sqrt (+ t 1.0)) (sqrt t))) (log (- (sqrt (+ t 1.0)) (sqrt t))) (exp (- (sqrt (+ t 1.0)) (sqrt t))) (* (cbrt (- (sqrt (+ t 1.0)) (sqrt t))) (cbrt (- (sqrt (+ t 1.0)) (sqrt t)))) (cbrt (- (sqrt (+ t 1.0)) (sqrt t))) (pow (- (sqrt (+ t 1.0)) (sqrt t)) 3) (sqrt (- (sqrt (+ t 1.0)) (sqrt t))) (sqrt (- (sqrt (+ t 1.0)) (sqrt t))) (- (pow (sqrt (+ t 1.0)) 3) (pow (sqrt t) 3)) (+ (+ (fma (sqrt t) (sqrt (+ t 1.0)) t) t) 1.0) (- (sqrt t)) (+ t (- 1.0 t)) (+ (sqrt (+ t 1.0)) (sqrt t)) (+ (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (+ (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (+ (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (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)) (expm1 (+ z (- 1.0 z))) (log1p (+ z (- 1.0 z))) (exp (+ z (- 1.0 z))) (exp (+ z (- 1.0 z))) (log (+ z (- 1.0 z))) (exp (+ z (- 1.0 z))) (* (cbrt (+ z (- 1.0 z))) (cbrt (+ z (- 1.0 z)))) (cbrt (+ z (- 1.0 z))) (pow (+ z (- 1.0 z)) 3) (sqrt (+ z (- 1.0 z))) (sqrt (+ z (- 1.0 z))) (+ (pow z 3) (pow (- 1.0 z) 3)) (fma z z (* (- 1.0 z) (- (- 1.0 z) z))) (- (* z z) (* (- 1.0 z) (- 1.0 z))) (- z (- 1.0 z)) (+ z (- 1.0 z)) (+ z (- 1.0 z)) (+ z (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) z)) (+ z (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) z)) (+ z (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) z)) (+ z (- 1.0 z)) (+ z (- 1.0 z)) (+ z (- 1.0 z)) (+ z (- 1.0 z)) (+ z (- 1.0 z)) (+ z (- 1.0 z)) (+ z 1.0) (+ z 1.0) (+ z 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 1/2 (/ 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 2.346 * * * [progress]: adding candidates to table 3.097 * * [progress]: iteration 3 / 4 3.097 * * * [progress]: picking best candidate 3.153 * * * * [pick]: Picked # 3.153 * * * [progress]: localizing error 3.175 * * * [progress]: generating rewritten candidates 3.175 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 3.203 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 3.233 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.261 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 3.298 * * * [progress]: generating series expansions 3.298 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 3.298 * [approximate]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in (y) around 0 3.298 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 3.298 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 3.298 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 3.298 * [taylor]: Taking taylor expansion of y in y 3.298 * [taylor]: Taking taylor expansion of 1.0 in y 3.301 * [taylor]: Taking taylor expansion of (sqrt y) in y 3.301 * [taylor]: Taking taylor expansion of y in y 3.302 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 3.302 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 3.302 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 3.302 * [taylor]: Taking taylor expansion of y in y 3.302 * [taylor]: Taking taylor expansion of 1.0 in y 3.304 * [taylor]: Taking taylor expansion of (sqrt y) in y 3.304 * [taylor]: Taking taylor expansion of y in y 3.324 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in (y) around 0 3.324 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 3.324 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 3.324 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 3.324 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.324 * [taylor]: Taking taylor expansion of y in y 3.324 * [taylor]: Taking taylor expansion of 1.0 in y 3.326 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 3.326 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.326 * [taylor]: Taking taylor expansion of y in y 3.327 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 3.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 3.327 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 3.327 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.327 * [taylor]: Taking taylor expansion of y in y 3.327 * [taylor]: Taking taylor expansion of 1.0 in y 3.329 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 3.329 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.329 * [taylor]: Taking taylor expansion of y in y 3.345 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in (y) around 0 3.345 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 3.345 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 3.345 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 3.345 * [taylor]: Taking taylor expansion of 1.0 in y 3.345 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.345 * [taylor]: Taking taylor expansion of y in y 3.347 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 3.347 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.347 * [taylor]: Taking taylor expansion of -1 in y 3.347 * [taylor]: Taking taylor expansion of y in y 3.348 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 3.348 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 3.348 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 3.348 * [taylor]: Taking taylor expansion of 1.0 in y 3.348 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.348 * [taylor]: Taking taylor expansion of y in y 3.350 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 3.350 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.350 * [taylor]: Taking taylor expansion of -1 in y 3.350 * [taylor]: Taking taylor expansion of y in y 3.374 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 3.374 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 3.374 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 3.374 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.374 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.374 * [taylor]: Taking taylor expansion of x in x 3.374 * [taylor]: Taking taylor expansion of 1.0 in x 3.376 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.376 * [taylor]: Taking taylor expansion of x in x 3.377 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 3.377 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.377 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.377 * [taylor]: Taking taylor expansion of x in x 3.377 * [taylor]: Taking taylor expansion of 1.0 in x 3.379 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.379 * [taylor]: Taking taylor expansion of x in x 3.400 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 3.400 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 3.400 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.400 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.400 * [taylor]: Taking taylor expansion of 1.0 in x 3.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.400 * [taylor]: Taking taylor expansion of x in x 3.402 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.402 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.402 * [taylor]: Taking taylor expansion of x in x 3.403 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 3.403 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.403 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.403 * [taylor]: Taking taylor expansion of 1.0 in x 3.403 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.403 * [taylor]: Taking taylor expansion of x in x 3.405 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.405 * [taylor]: Taking taylor expansion of x in x 3.422 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 3.422 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 3.422 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.422 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.422 * [taylor]: Taking taylor expansion of 1.0 in x 3.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.422 * [taylor]: Taking taylor expansion of x in x 3.425 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.425 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.425 * [taylor]: Taking taylor expansion of -1 in x 3.425 * [taylor]: Taking taylor expansion of x in x 3.426 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 3.426 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.426 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.426 * [taylor]: Taking taylor expansion of 1.0 in x 3.426 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.426 * [taylor]: Taking taylor expansion of x in x 3.428 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.428 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.428 * [taylor]: Taking taylor expansion of -1 in x 3.428 * [taylor]: Taking taylor expansion of x in x 3.445 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.445 * [approximate]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in (t) around 0 3.445 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 3.445 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 3.445 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 3.445 * [taylor]: Taking taylor expansion of t in t 3.445 * [taylor]: Taking taylor expansion of 1.0 in t 3.447 * [taylor]: Taking taylor expansion of (sqrt t) in t 3.447 * [taylor]: Taking taylor expansion of t in t 3.448 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 3.448 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 3.448 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 3.448 * [taylor]: Taking taylor expansion of t in t 3.448 * [taylor]: Taking taylor expansion of 1.0 in t 3.450 * [taylor]: Taking taylor expansion of (sqrt t) in t 3.450 * [taylor]: Taking taylor expansion of t in t 3.477 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in (t) around 0 3.477 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 3.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 3.477 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 3.477 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.477 * [taylor]: Taking taylor expansion of t in t 3.477 * [taylor]: Taking taylor expansion of 1.0 in t 3.478 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 3.479 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.479 * [taylor]: Taking taylor expansion of t in t 3.480 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 3.480 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 3.480 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 3.480 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.480 * [taylor]: Taking taylor expansion of t in t 3.480 * [taylor]: Taking taylor expansion of 1.0 in t 3.481 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 3.481 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.481 * [taylor]: Taking taylor expansion of t in t 3.498 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in (t) around 0 3.498 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 3.498 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 3.498 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 3.498 * [taylor]: Taking taylor expansion of 1.0 in t 3.498 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.498 * [taylor]: Taking taylor expansion of t in t 3.500 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 3.500 * [taylor]: Taking taylor expansion of (/ -1 t) in t 3.500 * [taylor]: Taking taylor expansion of -1 in t 3.500 * [taylor]: Taking taylor expansion of t in t 3.501 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 3.501 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 3.501 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 3.501 * [taylor]: Taking taylor expansion of 1.0 in t 3.501 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.501 * [taylor]: Taking taylor expansion of t in t 3.503 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 3.503 * [taylor]: Taking taylor expansion of (/ -1 t) in t 3.503 * [taylor]: Taking taylor expansion of -1 in t 3.503 * [taylor]: Taking taylor expansion of t in t 3.520 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 3.520 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) in (z) around 0 3.520 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) in z 3.520 * [taylor]: Taking taylor expansion of 1.0 in z 3.520 * [taylor]: Taking taylor expansion of (+ (sqrt (+ z 1.0)) (sqrt z)) in z 3.520 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 3.520 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 3.520 * [taylor]: Taking taylor expansion of z in z 3.520 * [taylor]: Taking taylor expansion of 1.0 in z 3.522 * [taylor]: Taking taylor expansion of (sqrt z) in z 3.522 * [taylor]: Taking taylor expansion of z in z 3.525 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) in z 3.525 * [taylor]: Taking taylor expansion of 1.0 in z 3.525 * [taylor]: Taking taylor expansion of (+ (sqrt (+ z 1.0)) (sqrt z)) in z 3.525 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 3.525 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 3.525 * [taylor]: Taking taylor expansion of z in z 3.525 * [taylor]: Taking taylor expansion of 1.0 in z 3.527 * [taylor]: Taking taylor expansion of (sqrt z) in z 3.527 * [taylor]: Taking taylor expansion of z in z 3.609 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0)))) in (z) around 0 3.609 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0)))) in z 3.609 * [taylor]: Taking taylor expansion of 1.0 in z 3.609 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0))) in z 3.610 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 3.610 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.610 * [taylor]: Taking taylor expansion of z in z 3.611 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 3.611 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 3.611 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.611 * [taylor]: Taking taylor expansion of z in z 3.611 * [taylor]: Taking taylor expansion of 1.0 in z 3.614 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0)))) in z 3.614 * [taylor]: Taking taylor expansion of 1.0 in z 3.614 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0))) in z 3.614 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 3.614 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.614 * [taylor]: Taking taylor expansion of z in z 3.615 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 3.615 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 3.615 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.615 * [taylor]: Taking taylor expansion of z in z 3.615 * [taylor]: Taking taylor expansion of 1.0 in z 3.643 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z)))) in (z) around 0 3.643 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z)))) in z 3.643 * [taylor]: Taking taylor expansion of 1.0 in z 3.643 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 3.643 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 3.643 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 3.643 * [taylor]: Taking taylor expansion of 1.0 in z 3.643 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.643 * [taylor]: Taking taylor expansion of z in z 3.645 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 3.645 * [taylor]: Taking taylor expansion of (/ -1 z) in z 3.645 * [taylor]: Taking taylor expansion of -1 in z 3.645 * [taylor]: Taking taylor expansion of z in z 3.647 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z)))) in z 3.647 * [taylor]: Taking taylor expansion of 1.0 in z 3.647 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 3.647 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 3.647 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 3.647 * [taylor]: Taking taylor expansion of 1.0 in z 3.647 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.647 * [taylor]: Taking taylor expansion of z in z 3.649 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 3.649 * [taylor]: Taking taylor expansion of (/ -1 z) in z 3.649 * [taylor]: Taking taylor expansion of -1 in z 3.649 * [taylor]: Taking taylor expansion of z in z 3.670 * * * [progress]: simplifying candidates 3.674 * [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 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+nan.0 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ t (sqrt 1.0)))) (+ (* +nan.0 t) (- (* 1/8 (/ (pow t 2) (pow (sqrt 1.0) 3))) (* +nan.0 (pow t 2))))) (- (+ (* +nan.0 (/ 1 t)) (- (+ (* +nan.0 (/ 1 (pow t 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 t)) (- (+ (* +nan.0 (/ 1 (pow t 2))) (- +nan.0))))) (- (+ (* 1.0 (/ 1 (sqrt 1.0))) (* 0.375 (/ (pow z 2) (pow (sqrt 1.0) 5)))) (+ (* +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 (pow (sqrt 1.0) 2))) (- (* +nan.0 (/ (pow z 2) (pow (sqrt 1.0) 2)))))))))) (- (+ (* +nan.0 (/ 1 z)) (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 z)) (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0))))) 3.688 * * [simplify]: iteration 0 : 948 enodes (cost 3617 ) 3.702 * * [simplify]: iteration 1 : 3148 enodes (cost 2584 ) 3.754 * * [simplify]: iteration 2 : 5001 enodes (cost 2530 ) 3.764 * [simplify]: Simplified to: (- (* (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0)))) (cbrt (sqrt (+ y 1.0)))) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (* (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0)))) (cbrt (sqrt (+ y 1.0)))) (* (fabs (cbrt y)) (sqrt (cbrt y)))) (* (sqrt (cbrt y)) (+ (- (fabs (cbrt y))) (fabs (cbrt y)))) (- (* (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0)))) (cbrt (sqrt (+ y 1.0)))) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (fma (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0)))) (cbrt (sqrt (+ y 1.0))) (- (* (sqrt y) (sqrt 1)))) (* (sqrt y) (+ (- (sqrt 1)) (sqrt 1))) (- (* (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0)))) (cbrt (sqrt (+ y 1.0)))) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (* (* (cbrt (sqrt (+ y 1.0))) (cbrt (sqrt (+ y 1.0)))) (cbrt (sqrt (+ y 1.0)))) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (fma (sqrt (cbrt (+ y 1.0))) (fabs (cbrt (+ y 1.0))) (- (sqrt y))) (fma (- (sqrt y)) 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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 (sqrt 1)) (/ 1.0 (sqrt 1)) 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)) (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 1/2 (/ 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 1.0 (/ 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)) 3.766 * * * [progress]: adding candidates to table 4.672 * * [progress]: iteration 4 / 4 4.672 * * * [progress]: picking best candidate 4.744 * * * * [pick]: Picked # 4.744 * * * [progress]: localizing error 4.772 * * * [progress]: generating rewritten candidates 4.772 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 4.803 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1) 4.811 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 4.839 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 4.874 * * * [progress]: generating series expansions 4.874 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 4.874 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 4.874 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 4.874 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.874 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.874 * [taylor]: Taking taylor expansion of x in x 4.874 * [taylor]: Taking taylor expansion of 1.0 in x 4.877 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.877 * [taylor]: Taking taylor expansion of x in x 4.878 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 4.878 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 4.878 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 4.878 * [taylor]: Taking taylor expansion of x in x 4.878 * [taylor]: Taking taylor expansion of 1.0 in x 4.880 * [taylor]: Taking taylor expansion of (sqrt x) in x 4.880 * [taylor]: Taking taylor expansion of x in x 4.900 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 4.900 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 4.900 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.900 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.900 * [taylor]: Taking taylor expansion of 1.0 in x 4.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.900 * [taylor]: Taking taylor expansion of x in x 4.901 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.901 * [taylor]: Taking taylor expansion of x in x 4.903 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 4.903 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 4.903 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 4.903 * [taylor]: Taking taylor expansion of 1.0 in x 4.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.903 * [taylor]: Taking taylor expansion of x in x 4.904 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 4.904 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.904 * [taylor]: Taking taylor expansion of x in x 4.920 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 4.921 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 4.921 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.921 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.921 * [taylor]: Taking taylor expansion of 1.0 in x 4.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.921 * [taylor]: Taking taylor expansion of x in x 4.922 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.922 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.922 * [taylor]: Taking taylor expansion of -1 in x 4.922 * [taylor]: Taking taylor expansion of x in x 4.924 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 4.924 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 4.924 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 4.924 * [taylor]: Taking taylor expansion of 1.0 in x 4.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.924 * [taylor]: Taking taylor expansion of x in x 4.925 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 4.926 * [taylor]: Taking taylor expansion of (/ -1 x) in x 4.926 * [taylor]: Taking taylor expansion of -1 in x 4.926 * [taylor]: Taking taylor expansion of x in x 4.948 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1) 4.948 * [approximate]: Taking taylor expansion of 1.0 in (y) around 0 4.948 * [taylor]: Taking taylor expansion of 1.0 in y 4.948 * [taylor]: Taking taylor expansion of 1.0 in y 4.948 * [approximate]: Taking taylor expansion of 1.0 in (y) around 0 4.948 * [taylor]: Taking taylor expansion of 1.0 in y 4.948 * [taylor]: Taking taylor expansion of 1.0 in y 4.948 * [approximate]: Taking taylor expansion of 1.0 in (y) around 0 4.948 * [taylor]: Taking taylor expansion of 1.0 in y 4.948 * [taylor]: Taking taylor expansion of 1.0 in y 4.948 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 4.948 * [approximate]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in (t) around 0 4.948 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 4.948 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 4.948 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 4.948 * [taylor]: Taking taylor expansion of t in t 4.948 * [taylor]: Taking taylor expansion of 1.0 in t 4.950 * [taylor]: Taking taylor expansion of (sqrt t) in t 4.950 * [taylor]: Taking taylor expansion of t in t 4.951 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 4.951 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 4.951 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 4.951 * [taylor]: Taking taylor expansion of t in t 4.951 * [taylor]: Taking taylor expansion of 1.0 in t 4.953 * [taylor]: Taking taylor expansion of (sqrt t) in t 4.953 * [taylor]: Taking taylor expansion of t in t 4.973 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in (t) around 0 4.973 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 4.973 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 4.973 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 4.973 * [taylor]: Taking taylor expansion of (/ 1 t) in t 4.973 * [taylor]: Taking taylor expansion of t in t 4.973 * [taylor]: Taking taylor expansion of 1.0 in t 4.974 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 4.975 * [taylor]: Taking taylor expansion of (/ 1 t) in t 4.975 * [taylor]: Taking taylor expansion of t in t 4.976 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 4.976 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 4.976 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 4.976 * [taylor]: Taking taylor expansion of (/ 1 t) in t 4.976 * [taylor]: Taking taylor expansion of t in t 4.976 * [taylor]: Taking taylor expansion of 1.0 in t 4.977 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 4.977 * [taylor]: Taking taylor expansion of (/ 1 t) in t 4.977 * [taylor]: Taking taylor expansion of t in t 4.993 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in (t) around 0 4.993 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 4.993 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 4.993 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 4.993 * [taylor]: Taking taylor expansion of 1.0 in t 4.993 * [taylor]: Taking taylor expansion of (/ 1 t) in t 4.994 * [taylor]: Taking taylor expansion of t in t 4.995 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 4.995 * [taylor]: Taking taylor expansion of (/ -1 t) in t 4.995 * [taylor]: Taking taylor expansion of -1 in t 4.995 * [taylor]: Taking taylor expansion of t in t 4.997 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 4.997 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 4.997 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 4.997 * [taylor]: Taking taylor expansion of 1.0 in t 4.997 * [taylor]: Taking taylor expansion of (/ 1 t) in t 4.997 * [taylor]: Taking taylor expansion of t in t 4.998 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 4.998 * [taylor]: Taking taylor expansion of (/ -1 t) in t 4.998 * [taylor]: Taking taylor expansion of -1 in t 4.998 * [taylor]: Taking taylor expansion of t in t 5.015 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 5.015 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) in (z) around 0 5.015 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) in z 5.015 * [taylor]: Taking taylor expansion of 1.0 in z 5.015 * [taylor]: Taking taylor expansion of (+ (sqrt (+ z 1.0)) (sqrt z)) in z 5.015 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 5.015 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 5.015 * [taylor]: Taking taylor expansion of z in z 5.015 * [taylor]: Taking taylor expansion of 1.0 in z 5.022 * [taylor]: Taking taylor expansion of (sqrt z) in z 5.022 * [taylor]: Taking taylor expansion of z in z 5.024 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) in z 5.024 * [taylor]: Taking taylor expansion of 1.0 in z 5.024 * [taylor]: Taking taylor expansion of (+ (sqrt (+ z 1.0)) (sqrt z)) in z 5.024 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 5.025 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 5.025 * [taylor]: Taking taylor expansion of z in z 5.025 * [taylor]: Taking taylor expansion of 1.0 in z 5.026 * [taylor]: Taking taylor expansion of (sqrt z) in z 5.026 * [taylor]: Taking taylor expansion of z in z 5.105 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0)))) in (z) around 0 5.106 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0)))) in z 5.106 * [taylor]: Taking taylor expansion of 1.0 in z 5.106 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0))) in z 5.106 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 5.106 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.106 * [taylor]: Taking taylor expansion of z in z 5.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 5.107 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 5.107 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.107 * [taylor]: Taking taylor expansion of z in z 5.107 * [taylor]: Taking taylor expansion of 1.0 in z 5.110 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0)))) in z 5.110 * [taylor]: Taking taylor expansion of 1.0 in z 5.110 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0))) in z 5.110 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 5.110 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.110 * [taylor]: Taking taylor expansion of z in z 5.111 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 5.111 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 5.111 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.111 * [taylor]: Taking taylor expansion of z in z 5.111 * [taylor]: Taking taylor expansion of 1.0 in z 5.132 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z)))) in (z) around 0 5.132 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z)))) in z 5.132 * [taylor]: Taking taylor expansion of 1.0 in z 5.132 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 5.132 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 5.132 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 5.132 * [taylor]: Taking taylor expansion of 1.0 in z 5.132 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.132 * [taylor]: Taking taylor expansion of z in z 5.133 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 5.133 * [taylor]: Taking taylor expansion of (/ -1 z) in z 5.133 * [taylor]: Taking taylor expansion of -1 in z 5.133 * [taylor]: Taking taylor expansion of z in z 5.136 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z)))) in z 5.136 * [taylor]: Taking taylor expansion of 1.0 in z 5.136 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 5.136 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 5.136 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 5.136 * [taylor]: Taking taylor expansion of 1.0 in z 5.136 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.136 * [taylor]: Taking taylor expansion of z in z 5.138 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 5.138 * [taylor]: Taking taylor expansion of (/ -1 z) in z 5.138 * [taylor]: Taking taylor expansion of -1 in z 5.138 * [taylor]: Taking taylor expansion of z in z 5.158 * * * [progress]: simplifying candidates 5.162 * [simplify]: Simplifying using # : (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 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (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 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ 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 (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ 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 (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (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 (sqrt (sqrt (+ x 1.0))) (sqrt (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 (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 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(pow z 2) (pow (sqrt 1.0) 2)))))))))) (- (+ (* +nan.0 (/ 1 z)) (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 z)) (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0))))) 5.174 * * [simplify]: iteration 0 : 856 enodes (cost 2684 ) 5.187 * * [simplify]: iteration 1 : 2955 enodes (cost 1944 ) 5.239 * * [simplify]: iteration 2 : 5001 enodes (cost 1788 ) 5.247 * [simplify]: Simplified to: (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (fma (- (sqrt x)) 1 (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (* (sqrt (cbrt x)) (- (fabs (cbrt x))))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (fma (- (sqrt x)) 1 (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (fma (- (sqrt x)) 1 (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ x 1.0))) (- (sqrt x))) (fma (- (sqrt x)) 1 (sqrt x)) (fma (sqrt (cbrt (+ x 1.0))) (fabs (cbrt (+ 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)) (- (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)) (expm1 (+ y (- 1.0 y))) (log1p (+ y (- 1.0 y))) (exp (+ y (- 1.0 y))) (exp (+ y (- 1.0 y))) (log (+ y (- 1.0 y))) (exp (+ y (- 1.0 y))) (* (cbrt (+ y (- 1.0 y))) (cbrt (+ y (- 1.0 y)))) (cbrt (+ y (- 1.0 y))) (pow (+ y (- 1.0 y)) 3) (sqrt (+ y (- 1.0 y))) (sqrt (+ y (- 1.0 y))) (+ (pow y 3) (pow (- 1.0 y) 3)) (fma y y (* (- 1.0 y) (- (- 1.0 y) y))) (- (* y y) (* (- 1.0 y) (- 1.0 y))) (- y (- 1.0 y)) (+ y (- 1.0 y)) (+ y (- 1.0 y)) (fma y 1 (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- y))) (fma y 1 (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- y))) (fma y 1 (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- y))) (+ y (- 1.0 y)) (+ y (- 1.0 y)) (+ y (- 1.0 y)) (+ y (- 1.0 y)) (+ y (- 1.0 y)) (+ y (- 1.0 y)) (+ y 1.0) (+ y 1.0) (+ y 1.0) (- (* (* (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)) (- (* (* (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)) (- (* (* (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 (+ t 1.0))) (fabs (cbrt (+ t 1.0))) (- (sqrt t))) (fma (- (sqrt t)) 1 (sqrt t)) (fma (sqrt (cbrt (+ t 1.0))) (fabs (cbrt (+ t 1.0))) (* (sqrt (cbrt t)) (- (fabs (cbrt t))))) (* (sqrt (cbrt t)) (+ (- (fabs (cbrt t))) (fabs (cbrt t)))) (fma (sqrt (cbrt (+ t 1.0))) (fabs (cbrt (+ t 1.0))) (- (sqrt t))) (fma (- (sqrt t)) 1 (sqrt t)) (fma (sqrt (cbrt (+ t 1.0))) (fabs (cbrt (+ t 1.0))) (- (sqrt t))) (fma (- (sqrt t)) 1 (sqrt t)) (fma (sqrt (cbrt (+ t 1.0))) (fabs (cbrt (+ t 1.0))) (- (sqrt t))) (fma (- (sqrt t)) 1 (sqrt t)) (fma (sqrt (cbrt (+ t 1.0))) (fabs (cbrt (+ t 1.0))) (- (sqrt t))) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (* (fabs (cbrt t)) (sqrt (cbrt t)))) (* (sqrt (cbrt t)) (+ (- (fabs (cbrt t))) (fabs (cbrt t)))) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (* (fabs (cbrt t)) (sqrt (cbrt t)))) (* (sqrt (cbrt t)) (+ (- (fabs (cbrt t))) (fabs (cbrt t)))) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) 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(cbrt t)) (+ (- (fabs (cbrt t))) (fabs (cbrt t)))) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (expm1 (- (sqrt (+ t 1.0)) (sqrt t))) (log1p (- (sqrt (+ t 1.0)) (sqrt t))) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (exp (- (sqrt (+ t 1.0)) (sqrt t))) (log (- (sqrt (+ t 1.0)) (sqrt t))) (exp (- (sqrt (+ t 1.0)) (sqrt t))) (* (cbrt (- (sqrt (+ t 1.0)) (sqrt t))) (cbrt (- (sqrt (+ t 1.0)) (sqrt t)))) (cbrt (- (sqrt (+ t 1.0)) (sqrt t))) (pow (- (sqrt (+ t 1.0)) (sqrt t)) 3) (sqrt (- (sqrt (+ t 1.0)) (sqrt t))) (sqrt (- (sqrt (+ t 1.0)) (sqrt t))) (- (pow (sqrt (+ t 1.0)) 3) (pow (sqrt t) 3)) (+ (+ (fma (sqrt t) (sqrt (+ t 1.0)) t) t) 1.0) (- (sqrt t)) (+ t (- 1.0 t)) (+ (sqrt (+ t 1.0)) (sqrt t)) (+ (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (+ (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (+ (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (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)) (expm1 (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))) (log1p (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))) (log (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))) (log (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))) (exp (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))) (pow (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) 3) (* (cbrt (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))) (cbrt (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))))) (cbrt (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))) (pow (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) 3) (sqrt (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))) (sqrt (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))) (- 1.0) (- (+ (sqrt (+ z 1.0)) (sqrt z))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ z 1.0)) (sqrt z))) (cbrt (+ (sqrt (+ z 1.0)) (sqrt z))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ z 1.0)) (sqrt z)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ z 1.0)) (sqrt z)))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ z 1.0)) (sqrt z)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ z 1.0)) (sqrt z))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ z 1.0)) (sqrt z))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ z 1.0)) (sqrt z))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ z 1.0)) (sqrt z))) (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ z 1.0)) (sqrt z))) (cbrt (+ (sqrt (+ z 1.0)) (sqrt z))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ z 1.0)) (sqrt z)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ z 1.0)) (sqrt z)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ z 1.0)) (sqrt z)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ z 1.0)) (sqrt z))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ z 1.0)) (sqrt z))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ z 1.0)) (sqrt z))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ z 1.0)) (sqrt z))) (/ 1 (* (cbrt (+ (sqrt (+ z 1.0)) (sqrt z))) (cbrt (+ (sqrt (+ z 1.0)) (sqrt z))))) (/ 1.0 (cbrt (+ (sqrt (+ z 1.0)) (sqrt z)))) (/ 1 (sqrt (+ (sqrt (+ z 1.0)) (sqrt z)))) (/ 1.0 (sqrt (+ (sqrt (+ z 1.0)) (sqrt z)))) 1 (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) 1 (/ 1.0 (+ (sqrt (+ 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)) (+ (- (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))) 1.0 1.0 1.0 (+ (- (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 1.0 (/ 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)) 5.255 * * * [progress]: adding candidates to table 6.041 * [progress]: [Phase 3 of 3] Extracting. 6.041 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 6.057 * * * [regime-changes]: Trying 6 branch expressions: ((- (sqrt (+ t 1.0)) (sqrt t)) (- (sqrt (+ x 1.0)) (sqrt x)) t z y x) 6.057 * * * * [regimes]: Trying to branch on (- (sqrt (+ t 1.0)) (sqrt t)) from (# # # # # # # # # # # #) 6.151 * * * * [regimes]: Trying to branch on (- (sqrt (+ x 1.0)) (sqrt x)) from (# # # # # # # # # # # #) 6.240 * * * * [regimes]: Trying to branch on t from (# # # # # # # # # # # #) 6.331 * * * * [regimes]: Trying to branch on z from (# # # # # # # # # # # #) 6.419 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # # #) 6.508 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # #) 6.595 * * * [regime]: Found split indices: #