10.332 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.445 * * * [progress]: [2/2] Setting up program. 0.449 * [progress]: [Phase 2 of 3] Improving. 0.450 * [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))) 0.450 * [simplify]: Sending expressions to egg_math: (+ (+ (+ (- (sqrt (+ h0 h1)) (sqrt h0)) (- (sqrt (+ h2 h1)) (sqrt h2))) (- (sqrt (+ h3 h1)) (sqrt h3))) (- (sqrt (+ h4 h1)) (sqrt h4))) 0.452 * * [simplify]: iteration 0 : 51 enodes (cost 19 ) 0.454 * * [simplify]: iteration 1 : 156 enodes (cost 19 ) 0.457 * * [simplify]: iteration 2 : 907 enodes (cost 19 ) 0.475 * * [simplify]: iteration 3 : 5001 enodes (cost 19 ) 0.475 * [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))) 0.475 * * [progress]: iteration 1 / 4 0.475 * * * [progress]: picking best candidate 0.480 * * * * [pick]: Picked # 0.480 * * * [progress]: localizing error 0.506 * * * [progress]: generating rewritten candidates 0.506 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.555 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.605 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 0.655 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.720 * * * [progress]: generating series expansions 0.720 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.721 * [approximate]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in (t) around 0 0.721 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 0.721 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 0.721 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 0.721 * [taylor]: Taking taylor expansion of t in t 0.721 * [taylor]: Taking taylor expansion of 1.0 in t 0.723 * [taylor]: Taking taylor expansion of (sqrt t) in t 0.723 * [taylor]: Taking taylor expansion of t in t 0.724 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 0.724 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 0.724 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 0.724 * [taylor]: Taking taylor expansion of t in t 0.724 * [taylor]: Taking taylor expansion of 1.0 in t 0.725 * [taylor]: Taking taylor expansion of (sqrt t) in t 0.725 * [taylor]: Taking taylor expansion of t in t 0.744 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in (t) around 0 0.744 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 0.744 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 0.744 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 0.744 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.744 * [taylor]: Taking taylor expansion of t in t 0.744 * [taylor]: Taking taylor expansion of 1.0 in t 0.745 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 0.745 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.745 * [taylor]: Taking taylor expansion of t in t 0.746 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 0.746 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 0.746 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 0.746 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.747 * [taylor]: Taking taylor expansion of t in t 0.747 * [taylor]: Taking taylor expansion of 1.0 in t 0.748 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 0.748 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.748 * [taylor]: Taking taylor expansion of t in t 0.767 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in (t) around 0 0.767 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 0.767 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 0.767 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 0.767 * [taylor]: Taking taylor expansion of 1.0 in t 0.767 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.767 * [taylor]: Taking taylor expansion of t in t 0.769 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 0.769 * [taylor]: Taking taylor expansion of (/ -1 t) in t 0.769 * [taylor]: Taking taylor expansion of -1 in t 0.769 * [taylor]: Taking taylor expansion of t in t 0.770 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 0.770 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 0.770 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 0.770 * [taylor]: Taking taylor expansion of 1.0 in t 0.770 * [taylor]: Taking taylor expansion of (/ 1 t) in t 0.770 * [taylor]: Taking taylor expansion of t in t 0.772 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 0.772 * [taylor]: Taking taylor expansion of (/ -1 t) in t 0.772 * [taylor]: Taking taylor expansion of -1 in t 0.772 * [taylor]: Taking taylor expansion of t in t 0.795 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.795 * [approximate]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in (z) around 0 0.795 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 0.795 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 0.795 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 0.795 * [taylor]: Taking taylor expansion of z in z 0.795 * [taylor]: Taking taylor expansion of 1.0 in z 0.798 * [taylor]: Taking taylor expansion of (sqrt z) in z 0.798 * [taylor]: Taking taylor expansion of z in z 0.799 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 0.799 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 0.799 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 0.799 * [taylor]: Taking taylor expansion of z in z 0.799 * [taylor]: Taking taylor expansion of 1.0 in z 0.802 * [taylor]: Taking taylor expansion of (sqrt z) in z 0.802 * [taylor]: Taking taylor expansion of z in z 0.826 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in (z) around 0 0.826 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 0.826 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.826 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.826 * [taylor]: Taking taylor expansion of z in z 0.826 * [taylor]: Taking taylor expansion of 1.0 in z 0.827 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 0.827 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.827 * [taylor]: Taking taylor expansion of z in z 0.829 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 0.829 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 0.829 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.829 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.829 * [taylor]: Taking taylor expansion of z in z 0.829 * [taylor]: Taking taylor expansion of 1.0 in z 0.830 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 0.830 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.830 * [taylor]: Taking taylor expansion of z in z 0.844 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in (z) around 0 0.844 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 0.844 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 0.844 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 0.844 * [taylor]: Taking taylor expansion of 1.0 in z 0.844 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.845 * [taylor]: Taking taylor expansion of z in z 0.846 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 0.846 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.846 * [taylor]: Taking taylor expansion of -1 in z 0.846 * [taylor]: Taking taylor expansion of z in z 0.847 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 0.847 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 0.847 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 0.847 * [taylor]: Taking taylor expansion of 1.0 in z 0.847 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.847 * [taylor]: Taking taylor expansion of z in z 0.849 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 0.849 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.849 * [taylor]: Taking taylor expansion of -1 in z 0.849 * [taylor]: Taking taylor expansion of z in z 0.869 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 0.869 * [approximate]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in (y) around 0 0.869 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 0.869 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 0.869 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.869 * [taylor]: Taking taylor expansion of y in y 0.869 * [taylor]: Taking taylor expansion of 1.0 in y 0.870 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.871 * [taylor]: Taking taylor expansion of y in y 0.871 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 0.871 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 0.871 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.871 * [taylor]: Taking taylor expansion of y in y 0.871 * [taylor]: Taking taylor expansion of 1.0 in y 0.873 * [taylor]: Taking taylor expansion of (sqrt y) in y 0.873 * [taylor]: Taking taylor expansion of y in y 0.891 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in (y) around 0 0.891 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 0.891 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.891 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.891 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of 1.0 in y 0.893 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.893 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.893 * [taylor]: Taking taylor expansion of y in y 0.894 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 0.894 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.894 * [taylor]: Taking taylor expansion of 1.0 in y 0.895 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 0.895 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.895 * [taylor]: Taking taylor expansion of y in y 0.909 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in (y) around 0 0.909 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 0.909 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.909 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.909 * [taylor]: Taking taylor expansion of 1.0 in y 0.909 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.910 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.910 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.910 * [taylor]: Taking taylor expansion of -1 in y 0.910 * [taylor]: Taking taylor expansion of y in y 0.912 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 0.912 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 0.912 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.912 * [taylor]: Taking taylor expansion of 1.0 in y 0.912 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.912 * [taylor]: Taking taylor expansion of y in y 0.913 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 0.913 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.913 * [taylor]: Taking taylor expansion of -1 in y 0.913 * [taylor]: Taking taylor expansion of y in y 0.927 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.928 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.928 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.928 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.928 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.928 * [taylor]: Taking taylor expansion of x in x 0.928 * [taylor]: Taking taylor expansion of 1.0 in x 0.929 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.929 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.930 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.930 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of 1.0 in x 0.932 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.955 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.955 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.955 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.956 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.956 * [taylor]: Taking taylor expansion of 1.0 in x 0.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.956 * [taylor]: Taking taylor expansion of x in x 0.957 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.958 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.958 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.958 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.958 * [taylor]: Taking taylor expansion of 1.0 in x 0.958 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.958 * [taylor]: Taking taylor expansion of x in x 0.959 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.959 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.959 * [taylor]: Taking taylor expansion of x in x 0.973 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.974 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.974 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.974 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.974 * [taylor]: Taking taylor expansion of 1.0 in x 0.974 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.974 * [taylor]: Taking taylor expansion of x in x 0.975 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.975 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.975 * [taylor]: Taking taylor expansion of -1 in x 0.975 * [taylor]: Taking taylor expansion of x in x 0.976 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.976 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.976 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.976 * [taylor]: Taking taylor expansion of 1.0 in x 0.976 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.976 * [taylor]: Taking taylor expansion of x in x 0.978 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.978 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.978 * [taylor]: Taking taylor expansion of -1 in x 0.978 * [taylor]: Taking taylor expansion of x in x 0.993 * * * [progress]: simplifying candidates 0.998 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt 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(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)) (- (+ (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))))) (- (+ (* 1/2 (/ z (sqrt 1.0))) (sqrt 1.0)) (+ (* 1/8 (/ (pow z 2) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (pow z 2)) (- (* +nan.0 z)))))) (- (+ (* +nan.0 (/ 1 z)) (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 z)) (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0))))) (- (+ (* 1/2 (/ y (sqrt 1.0))) (sqrt 1.0)) (+ (* +nan.0 (pow y 2)) (- (* 1/8 (/ (pow y 2) (pow (sqrt 1.0) 3))) (* +nan.0 y)))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +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))))) 1.001 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (- (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))))) (fma (- (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (fma (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (- (* (sqrt (cbrt h0)) (sqrt (* (cbrt h0) (cbrt h0)))))) (fma (- (sqrt (cbrt h0))) (sqrt (* (cbrt h0) (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (* (cbrt h0) 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1.0))) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (* (fabs (cbrt y)) (sqrt (cbrt y)))) (* (sqrt (cbrt y)) (+ (- (fabs (cbrt y))) (fabs (cbrt y)))) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (* (sqrt y) (sqrt 1))) (* (sqrt y) (+ (- (sqrt 1)) (sqrt 1))) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (* (fabs (cbrt y)) (sqrt (cbrt y)))) (* (sqrt (cbrt y)) (+ (- (fabs (cbrt y))) (fabs (cbrt y)))) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (* (sqrt y) (sqrt 1))) (* (sqrt y) (+ (- (sqrt 1)) (sqrt 1))) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (expm1 (- (sqrt (+ y 1.0)) (sqrt y))) (log1p (- (sqrt (+ y 1.0)) (sqrt y))) (- (sqrt y)) (- (sqrt y)) (- (sqrt y)) (- (sqrt y)) (- (sqrt y)) (- (sqrt y)) (- (sqrt y)) (exp (- (sqrt (+ y 1.0)) (sqrt y))) (log (- (sqrt (+ y 1.0)) (sqrt y))) (exp (- (sqrt (+ y 1.0)) (sqrt y))) (* (cbrt (- (sqrt (+ y 1.0)) (sqrt y))) (cbrt (- (sqrt (+ y 1.0)) (sqrt y)))) (cbrt (- (sqrt (+ y 1.0)) (sqrt y))) (pow (- (sqrt (+ y 1.0)) (sqrt y)) 3) (sqrt (- (sqrt (+ y 1.0)) (sqrt y))) (sqrt (- (sqrt (+ y 1.0)) (sqrt y))) (- (pow (sqrt (+ y 1.0)) 3) (pow (sqrt y) 3)) (+ (+ (fma (sqrt y) (sqrt (+ y 1.0)) y) y) 1.0) (- (sqrt y)) (+ y (- 1.0 y)) (+ (sqrt (+ y 1.0)) (sqrt y)) (+ (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt y))) (- (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt y))) (+ (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt y))) (- (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt y))) (+ (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt y))) (- (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt y))) (+ (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt y))) (- (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt y))) (- (sqrt (+ y 1.0)) (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (- (sqrt y)) (- (* (* (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)) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (* (sqrt x) (+ (- (sqrt 1)) (sqrt 1))) (- (* (* (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) (sqrt 1)))) (* (sqrt x) (+ (- (sqrt 1)) (sqrt 1))) (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) (sqrt 1))) (* (sqrt x) (+ (- (sqrt 1)) (sqrt 1))) (- (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 1) (sqrt (+ x 1.0))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (sqrt 1) (sqrt (+ x 1.0))) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (* (sqrt 1) (sqrt (+ x 1.0))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (* (sqrt x) (+ (- (sqrt 1)) (sqrt 1))) (- (* (sqrt 1) (sqrt (+ x 1.0))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (sqrt 1) (sqrt (+ x 1.0))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (sqrt 1) (sqrt (+ x 1.0))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (sqrt 1) (sqrt (+ x 1.0))) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (* (sqrt 1) (sqrt (+ x 1.0))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (* (sqrt x) (+ (- (sqrt 1)) (sqrt 1))) (- (* (sqrt 1) (sqrt (+ x 1.0))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (sqrt 1) (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) (sqrt 1))) (* (sqrt x) (+ (- (sqrt 1)) (sqrt 1))) (- (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) (sqrt 1))) (* (sqrt x) (+ (- (sqrt 1)) (sqrt 1))) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (expm1 (- (sqrt (+ x 1.0)) (sqrt x))) (log1p (- (sqrt (+ x 1.0)) (sqrt x))) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (- (sqrt x)) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (log (- (sqrt (+ x 1.0)) (sqrt x))) (exp (- (sqrt (+ x 1.0)) (sqrt x))) (* (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x)))) (cbrt (- (sqrt (+ x 1.0)) (sqrt x))) (pow (- (sqrt (+ x 1.0)) (sqrt x)) 3) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (sqrt (- (sqrt (+ x 1.0)) (sqrt x))) (- (pow (sqrt (+ x 1.0)) 3) (pow (sqrt x) 3)) (+ (+ (fma (sqrt x) (sqrt (+ x 1.0)) x) x) 1.0) (- (sqrt x)) (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (+ (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt x))) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (+ (- (fma 1/2 (/ t (sqrt 1.0)) (sqrt 1.0)) (fma t +nan.0 (* 1/8 (/ (pow t 2) (pow (sqrt 1.0) 3))))) (* +nan.0 (pow t 2))) (+ (fma +nan.0 (/ 1 (pow t 2)) (- +nan.0)) (/ (- +nan.0) t)) (+ (fma +nan.0 (/ 1 (pow t 2)) (- +nan.0)) (/ (- +nan.0) t)) (+ (- (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 (/ 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))) 1.097 * * * [progress]: adding candidates to table 2.013 * * [progress]: iteration 2 / 4 2.013 * * * [progress]: picking best candidate 2.107 * * * * [pick]: Picked # 2.107 * * * [progress]: localizing error 2.139 * * * [progress]: generating rewritten candidates 2.139 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.188 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 2.207 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2) 2.258 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 2.322 * * * [progress]: generating series expansions 2.322 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.322 * [approximate]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in (t) around 0 2.322 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 2.322 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 2.322 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 2.322 * [taylor]: Taking taylor expansion of t in t 2.322 * [taylor]: Taking taylor expansion of 1.0 in t 2.324 * [taylor]: Taking taylor expansion of (sqrt t) in t 2.324 * [taylor]: Taking taylor expansion of t in t 2.325 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 2.325 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 2.325 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 2.325 * [taylor]: Taking taylor expansion of t in t 2.325 * [taylor]: Taking taylor expansion of 1.0 in t 2.327 * [taylor]: Taking taylor expansion of (sqrt t) in t 2.327 * [taylor]: Taking taylor expansion of t in t 2.345 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in (t) around 0 2.345 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 2.345 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 2.345 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 2.345 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.345 * [taylor]: Taking taylor expansion of t in t 2.345 * [taylor]: Taking taylor expansion of 1.0 in t 2.347 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 2.347 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.347 * [taylor]: Taking taylor expansion of t in t 2.348 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 2.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 2.348 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 2.348 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.348 * [taylor]: Taking taylor expansion of t in t 2.348 * [taylor]: Taking taylor expansion of 1.0 in t 2.349 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 2.349 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.349 * [taylor]: Taking taylor expansion of t in t 2.363 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in (t) around 0 2.363 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 2.363 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 2.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 2.363 * [taylor]: Taking taylor expansion of 1.0 in t 2.363 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.363 * [taylor]: Taking taylor expansion of t in t 2.365 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 2.365 * [taylor]: Taking taylor expansion of (/ -1 t) in t 2.365 * [taylor]: Taking taylor expansion of -1 in t 2.365 * [taylor]: Taking taylor expansion of t in t 2.366 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 2.366 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 2.366 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 2.366 * [taylor]: Taking taylor expansion of 1.0 in t 2.366 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.366 * [taylor]: Taking taylor expansion of t in t 2.367 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 2.367 * [taylor]: Taking taylor expansion of (/ -1 t) in t 2.367 * [taylor]: Taking taylor expansion of -1 in t 2.367 * [taylor]: Taking taylor expansion of t in t 2.382 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 2.382 * [approximate]: Taking taylor expansion of 1.0 in (z) around 0 2.382 * [taylor]: Taking taylor expansion of 1.0 in z 2.382 * [taylor]: Taking taylor expansion of 1.0 in z 2.382 * [approximate]: Taking taylor expansion of 1.0 in (z) around 0 2.382 * [taylor]: Taking taylor expansion of 1.0 in z 2.382 * [taylor]: Taking taylor expansion of 1.0 in z 2.382 * [approximate]: Taking taylor expansion of 1.0 in (z) around 0 2.382 * [taylor]: Taking taylor expansion of 1.0 in z 2.382 * [taylor]: Taking taylor expansion of 1.0 in z 2.382 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2) 2.383 * [approximate]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in (y) around 0 2.383 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 2.383 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 2.383 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 2.383 * [taylor]: Taking taylor expansion of y in y 2.383 * [taylor]: Taking taylor expansion of 1.0 in y 2.384 * [taylor]: Taking taylor expansion of (sqrt y) in y 2.384 * [taylor]: Taking taylor expansion of y in y 2.386 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 2.386 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 2.386 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 2.386 * [taylor]: Taking taylor expansion of y in y 2.386 * [taylor]: Taking taylor expansion of 1.0 in y 2.387 * [taylor]: Taking taylor expansion of (sqrt y) in y 2.387 * [taylor]: Taking taylor expansion of y in y 2.412 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in (y) around 0 2.412 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 2.412 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 2.412 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 2.412 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.412 * [taylor]: Taking taylor expansion of y in y 2.413 * [taylor]: Taking taylor expansion of 1.0 in y 2.414 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 2.414 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.414 * [taylor]: Taking taylor expansion of y in y 2.415 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 2.415 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 2.415 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 2.415 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.415 * [taylor]: Taking taylor expansion of y in y 2.415 * [taylor]: Taking taylor expansion of 1.0 in y 2.416 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 2.416 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.416 * [taylor]: Taking taylor expansion of y in y 2.431 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in (y) around 0 2.431 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 2.431 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 2.431 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 2.431 * [taylor]: Taking taylor expansion of 1.0 in y 2.431 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.431 * [taylor]: Taking taylor expansion of y in y 2.433 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 2.433 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.433 * [taylor]: Taking taylor expansion of -1 in y 2.433 * [taylor]: Taking taylor expansion of y in y 2.434 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 2.434 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 2.434 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 2.434 * [taylor]: Taking taylor expansion of 1.0 in y 2.434 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.434 * [taylor]: Taking taylor expansion of y in y 2.436 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 2.436 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.436 * [taylor]: Taking taylor expansion of -1 in y 2.436 * [taylor]: Taking taylor expansion of y in y 2.451 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 2.451 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 2.451 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 2.451 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.451 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.451 * [taylor]: Taking taylor expansion of x in x 2.451 * [taylor]: Taking taylor expansion of 1.0 in x 2.453 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.453 * [taylor]: Taking taylor expansion of x in x 2.454 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 2.454 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.454 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.454 * [taylor]: Taking taylor expansion of x in x 2.454 * [taylor]: Taking taylor expansion of 1.0 in x 2.455 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.455 * [taylor]: Taking taylor expansion of x in x 2.474 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 2.474 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 2.474 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.474 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.474 * [taylor]: Taking taylor expansion of 1.0 in x 2.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.474 * [taylor]: Taking taylor expansion of x in x 2.475 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.475 * [taylor]: Taking taylor expansion of x in x 2.476 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 2.476 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.476 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.476 * [taylor]: Taking taylor expansion of 1.0 in x 2.476 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.476 * [taylor]: Taking taylor expansion of x in x 2.478 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.478 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.478 * [taylor]: Taking taylor expansion of x in x 2.499 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 2.499 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.499 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.499 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.499 * [taylor]: Taking taylor expansion of 1.0 in x 2.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.499 * [taylor]: Taking taylor expansion of x in x 2.501 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.501 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.501 * [taylor]: Taking taylor expansion of -1 in x 2.501 * [taylor]: Taking taylor expansion of x in x 2.502 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.502 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.502 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.502 * [taylor]: Taking taylor expansion of 1.0 in x 2.502 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.502 * [taylor]: Taking taylor expansion of x in x 2.504 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.504 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.504 * [taylor]: Taking taylor expansion of -1 in x 2.504 * [taylor]: Taking taylor expansion of x in x 2.519 * * * [progress]: simplifying candidates 2.523 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 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(sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt x)) (- (+ (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 1.0 1.0 (- (+ (* 1/2 (/ y (sqrt 1.0))) (sqrt 1.0)) (+ (* +nan.0 (pow y 2)) (- (* 1/8 (/ (pow y 2) (pow (sqrt 1.0) 3))) (* +nan.0 y)))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +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))))) 2.525 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt 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(- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (* (fabs (cbrt y)) (sqrt (cbrt y)))) (* (sqrt (cbrt y)) (+ (- (fabs (cbrt y))) (fabs (cbrt y)))) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (* (fabs (cbrt y)) (sqrt (cbrt y)))) (* (sqrt (cbrt y)) (+ (- (fabs (cbrt y))) (fabs (cbrt y)))) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (* (fabs (cbrt y)) (sqrt (cbrt y)))) (* (sqrt (cbrt y)) (+ (- (fabs (cbrt y))) (fabs (cbrt y)))) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (* (fabs (cbrt y)) (sqrt (cbrt y)))) (* (sqrt (cbrt y)) (+ (- (fabs (cbrt y))) (fabs (cbrt y)))) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (fma (- (sqrt y)) 1 (sqrt y)) (expm1 (- (sqrt (+ y 1.0)) (sqrt y))) (log1p (- (sqrt (+ y 1.0)) (sqrt y))) (- (sqrt y)) (- (sqrt y)) (- (sqrt y)) (- (sqrt y)) (- (sqrt y)) (- (sqrt y)) (- (sqrt y)) (exp (- (sqrt (+ y 1.0)) (sqrt y))) (log (- (sqrt (+ y 1.0)) (sqrt y))) (exp (- (sqrt (+ y 1.0)) (sqrt y))) (* (cbrt (- (sqrt (+ y 1.0)) (sqrt y))) (cbrt (- (sqrt (+ y 1.0)) (sqrt y)))) (cbrt (- (sqrt (+ y 1.0)) (sqrt y))) (pow (- (sqrt (+ y 1.0)) (sqrt y)) 3) (sqrt (- (sqrt (+ y 1.0)) (sqrt y))) (sqrt (- (sqrt (+ y 1.0)) (sqrt y))) (- (pow (sqrt (+ y 1.0)) 3) (pow (sqrt y) 3)) (+ (+ (fma (sqrt y) (sqrt (+ y 1.0)) y) y) 1.0) (- (sqrt y)) (+ y (- 1.0 y)) (+ (sqrt (+ y 1.0)) (sqrt y)) (+ (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt y))) (- (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt y))) (+ (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt y))) (- (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt y))) (+ (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt y))) (- (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt y))) (+ (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt y))) (- (sqrt (sqrt (+ y 1.0))) (sqrt (sqrt y))) (- (sqrt (+ y 1.0)) (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (- (sqrt (+ y 1.0)) (sqrt y)) (- (sqrt y)) (- (* (* (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)) (+ (- (fma 1/2 (/ t (sqrt 1.0)) (sqrt 1.0)) (fma t +nan.0 (* 1/8 (/ (pow t 2) (pow (sqrt 1.0) 3))))) (* +nan.0 (pow t 2))) (+ (fma +nan.0 (/ 1 (pow t 2)) (- +nan.0)) (/ (- +nan.0) t)) (+ (fma +nan.0 (/ 1 (pow t 2)) (- +nan.0)) (/ (- +nan.0) t)) 1.0 1.0 1.0 (fma 1/2 (/ y (sqrt 1.0)) (- (sqrt 1.0) (fma +nan.0 (pow y 2) (- (* 1/8 (/ (pow y 2) (pow (sqrt 1.0) 3))) (* +nan.0 y))))) (+ (fma +nan.0 (/ 1 (pow y 2)) (- +nan.0)) (/ (- +nan.0) y)) (+ (fma +nan.0 (/ 1 (pow y 2)) (- +nan.0)) (/ (- +nan.0) y)) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) 2.606 * * * [progress]: adding candidates to table 3.372 * * [progress]: iteration 3 / 4 3.372 * * * [progress]: picking best candidate 3.459 * * * * [pick]: Picked # 3.459 * * * [progress]: localizing error 3.483 * * * [progress]: generating rewritten candidates 3.484 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.537 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 3.589 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.640 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 3.697 * * * [progress]: generating series expansions 3.697 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.698 * [approximate]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in (t) around 0 3.698 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 3.698 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 3.698 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 3.698 * [taylor]: Taking taylor expansion of t in t 3.698 * [taylor]: Taking taylor expansion of 1.0 in t 3.700 * [taylor]: Taking taylor expansion of (sqrt t) in t 3.700 * [taylor]: Taking taylor expansion of t in t 3.701 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 3.701 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 3.701 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 3.701 * [taylor]: Taking taylor expansion of t in t 3.701 * [taylor]: Taking taylor expansion of 1.0 in t 3.702 * [taylor]: Taking taylor expansion of (sqrt t) in t 3.702 * [taylor]: Taking taylor expansion of t in t 3.721 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in (t) around 0 3.721 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 3.721 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 3.721 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 3.721 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.721 * [taylor]: Taking taylor expansion of t in t 3.721 * [taylor]: Taking taylor expansion of 1.0 in t 3.722 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 3.722 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.722 * [taylor]: Taking taylor expansion of t in t 3.724 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 3.724 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 3.724 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 3.724 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.724 * [taylor]: Taking taylor expansion of t in t 3.724 * [taylor]: Taking taylor expansion of 1.0 in t 3.725 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 3.725 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.725 * [taylor]: Taking taylor expansion of t in t 3.740 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in (t) around 0 3.740 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 3.740 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 3.740 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 3.740 * [taylor]: Taking taylor expansion of 1.0 in t 3.740 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.740 * [taylor]: Taking taylor expansion of t in t 3.741 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 3.741 * [taylor]: Taking taylor expansion of (/ -1 t) in t 3.741 * [taylor]: Taking taylor expansion of -1 in t 3.741 * [taylor]: Taking taylor expansion of t in t 3.742 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 3.742 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 3.742 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 3.742 * [taylor]: Taking taylor expansion of 1.0 in t 3.742 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.743 * [taylor]: Taking taylor expansion of t in t 3.744 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 3.744 * [taylor]: Taking taylor expansion of (/ -1 t) in t 3.744 * [taylor]: Taking taylor expansion of -1 in t 3.744 * [taylor]: Taking taylor expansion of t in t 3.765 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 3.765 * [approximate]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in (y) around 0 3.766 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 3.766 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 3.766 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 3.766 * [taylor]: Taking taylor expansion of y in y 3.766 * [taylor]: Taking taylor expansion of 1.0 in y 3.767 * [taylor]: Taking taylor expansion of (sqrt y) in y 3.767 * [taylor]: Taking taylor expansion of y in y 3.768 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 3.768 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 3.768 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 3.768 * [taylor]: Taking taylor expansion of y in y 3.768 * [taylor]: Taking taylor expansion of 1.0 in y 3.770 * [taylor]: Taking taylor expansion of (sqrt y) in y 3.770 * [taylor]: Taking taylor expansion of y in y 3.788 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in (y) around 0 3.788 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 3.788 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 3.788 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 3.788 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.788 * [taylor]: Taking taylor expansion of y in y 3.789 * [taylor]: Taking taylor expansion of 1.0 in y 3.790 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 3.790 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.790 * [taylor]: Taking taylor expansion of y in y 3.791 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 3.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 3.791 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 3.791 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.791 * [taylor]: Taking taylor expansion of y in y 3.791 * [taylor]: Taking taylor expansion of 1.0 in y 3.792 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 3.793 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.793 * [taylor]: Taking taylor expansion of y in y 3.807 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in (y) around 0 3.807 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 3.807 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 3.807 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 3.807 * [taylor]: Taking taylor expansion of 1.0 in y 3.807 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.807 * [taylor]: Taking taylor expansion of y in y 3.809 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 3.809 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.809 * [taylor]: Taking taylor expansion of -1 in y 3.809 * [taylor]: Taking taylor expansion of y in y 3.810 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 3.810 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 3.810 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 3.810 * [taylor]: Taking taylor expansion of 1.0 in y 3.810 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.810 * [taylor]: Taking taylor expansion of y in y 3.811 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 3.811 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.811 * [taylor]: Taking taylor expansion of -1 in y 3.811 * [taylor]: Taking taylor expansion of y in y 3.826 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.826 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 3.826 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 3.826 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.826 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.826 * [taylor]: Taking taylor expansion of x in x 3.826 * [taylor]: Taking taylor expansion of 1.0 in x 3.828 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.828 * [taylor]: Taking taylor expansion of x in x 3.829 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 3.829 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.829 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.829 * [taylor]: Taking taylor expansion of x in x 3.829 * [taylor]: Taking taylor expansion of 1.0 in x 3.830 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.830 * [taylor]: Taking taylor expansion of x in x 3.856 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 3.856 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 3.856 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.856 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.856 * [taylor]: Taking taylor expansion of 1.0 in x 3.856 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.856 * [taylor]: Taking taylor expansion of x in x 3.858 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.858 * [taylor]: Taking taylor expansion of x in x 3.859 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 3.859 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.859 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.859 * [taylor]: Taking taylor expansion of 1.0 in x 3.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.859 * [taylor]: Taking taylor expansion of x in x 3.860 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.860 * [taylor]: Taking taylor expansion of x in x 3.875 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 3.875 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 3.875 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.875 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.875 * [taylor]: Taking taylor expansion of 1.0 in x 3.875 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.875 * [taylor]: Taking taylor expansion of x in x 3.877 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.877 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.877 * [taylor]: Taking taylor expansion of -1 in x 3.877 * [taylor]: Taking taylor expansion of x in x 3.878 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 3.878 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.878 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.878 * [taylor]: Taking taylor expansion of 1.0 in x 3.878 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.878 * [taylor]: Taking taylor expansion of x in x 3.880 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.880 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.880 * [taylor]: Taking taylor expansion of -1 in x 3.880 * [taylor]: Taking taylor expansion of x in x 3.895 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 3.895 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) in (z) around 0 3.895 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) in z 3.895 * [taylor]: Taking taylor expansion of 1.0 in z 3.895 * [taylor]: Taking taylor expansion of (+ (sqrt (+ z 1.0)) (sqrt z)) in z 3.895 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 3.895 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 3.895 * [taylor]: Taking taylor expansion of z in z 3.895 * [taylor]: Taking taylor expansion of 1.0 in z 3.896 * [taylor]: Taking taylor expansion of (sqrt z) in z 3.896 * [taylor]: Taking taylor expansion of z in z 3.898 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) in z 3.898 * [taylor]: Taking taylor expansion of 1.0 in z 3.898 * [taylor]: Taking taylor expansion of (+ (sqrt (+ z 1.0)) (sqrt z)) in z 3.898 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 3.898 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 3.898 * [taylor]: Taking taylor expansion of z in z 3.898 * [taylor]: Taking taylor expansion of 1.0 in z 3.900 * [taylor]: Taking taylor expansion of (sqrt z) in z 3.900 * [taylor]: Taking taylor expansion of z in z 3.978 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0)))) in (z) around 0 3.978 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0)))) in z 3.978 * [taylor]: Taking taylor expansion of 1.0 in z 3.978 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0))) in z 3.978 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 3.978 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.978 * [taylor]: Taking taylor expansion of z in z 3.979 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 3.979 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 3.979 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.979 * [taylor]: Taking taylor expansion of z in z 3.980 * [taylor]: Taking taylor expansion of 1.0 in z 3.982 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0)))) in z 3.982 * [taylor]: Taking taylor expansion of 1.0 in z 3.982 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0))) in z 3.982 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 3.982 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.982 * [taylor]: Taking taylor expansion of z in z 3.983 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 3.983 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 3.983 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.983 * [taylor]: Taking taylor expansion of z in z 3.983 * [taylor]: Taking taylor expansion of 1.0 in z 4.001 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z)))) in (z) around 0 4.002 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z)))) in z 4.002 * [taylor]: Taking taylor expansion of 1.0 in z 4.002 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 4.002 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 4.002 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 4.002 * [taylor]: Taking taylor expansion of 1.0 in z 4.002 * [taylor]: Taking taylor expansion of (/ 1 z) in z 4.002 * [taylor]: Taking taylor expansion of z in z 4.003 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 4.003 * [taylor]: Taking taylor expansion of (/ -1 z) in z 4.003 * [taylor]: Taking taylor expansion of -1 in z 4.003 * [taylor]: Taking taylor expansion of z in z 4.005 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z)))) in z 4.005 * [taylor]: Taking taylor expansion of 1.0 in z 4.005 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 4.005 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 4.005 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 4.005 * [taylor]: Taking taylor expansion of 1.0 in z 4.005 * [taylor]: Taking taylor expansion of (/ 1 z) in z 4.005 * [taylor]: Taking taylor expansion of z in z 4.007 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 4.007 * [taylor]: Taking taylor expansion of (/ -1 z) in z 4.007 * [taylor]: Taking taylor expansion of -1 in z 4.007 * [taylor]: Taking taylor expansion of z in z 4.033 * * * [progress]: simplifying candidates 4.038 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0))) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (* (cbrt (+ t 1.0)) (cbrt (+ t 1.0)))) (sqrt (cbrt (+ t 1.0))) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt 1) (sqrt (+ t 1.0)) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt (+ t 1.0))) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (fma 1 (sqrt (+ t 1.0)) (- (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t)))))) (fma (- (cbrt (sqrt t))) (* (cbrt (sqrt t)) (cbrt (sqrt t))) (* (cbrt (sqrt t)) (* (cbrt (sqrt t)) (cbrt (sqrt t))))) (fma 1 (sqrt (+ t 1.0)) (- (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t)))))) (fma (- (sqrt (cbrt t))) (sqrt (* (cbrt t) (cbrt t))) (* (sqrt (cbrt t)) (sqrt (* (cbrt t) (cbrt t))))) (fma 1 (sqrt (+ t 1.0)) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma 1 (sqrt (+ t 1.0)) (- (* (sqrt t) (sqrt 1)))) (fma (- (sqrt t)) (sqrt 1) (* (sqrt t) (sqrt 1))) (fma 1 (sqrt (+ t 1.0)) (- (* (sqrt (sqrt t)) (sqrt (sqrt t))))) (fma (- (sqrt (sqrt t))) (sqrt (sqrt t)) (* (sqrt (sqrt t)) (sqrt (sqrt t)))) (fma 1 (sqrt (+ t 1.0)) (- (* (sqrt t) 1))) (fma (- (sqrt t)) 1 (* (sqrt t) 1)) (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))) (exp (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))) (* (* (- (sqrt (+ t 1.0)) (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t))) (- (sqrt (+ t 1.0)) (sqrt t))) (sqrt (- (sqrt (+ t 1.0)) (sqrt t))) (sqrt (- (sqrt (+ t 1.0)) (sqrt t))) (- (pow (sqrt (+ t 1.0)) 3) (pow (sqrt t) 3)) (+ (* (sqrt (+ t 1.0)) (sqrt (+ t 1.0))) (+ (* (sqrt t) (sqrt t)) (* (sqrt (+ t 1.0)) (sqrt t)))) (- (sqrt t)) (- (* (sqrt (+ t 1.0)) (sqrt (+ t 1.0))) (* (sqrt t) (sqrt 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)) (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 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1.0 (- (* (sqrt (+ z 1.0)) (sqrt (+ z 1.0))) (* (sqrt z) (sqrt z)))) (- (+ (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))))) (- (+ (* 1/2 (/ y (sqrt 1.0))) (sqrt 1.0)) (+ (* +nan.0 (pow y 2)) (- (* 1/8 (/ (pow y 2) (pow (sqrt 1.0) 3))) (* +nan.0 y)))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +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))))) (- (+ (* 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))))) 4.041 * [simplify]: Sending expressions to egg_math: (fma (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (- (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))))) (fma (- (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))) (* (cbrt (sqrt h0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0))))) (fma (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (- (* (sqrt (cbrt h0)) (sqrt (* (cbrt h0) (cbrt h0)))))) (fma (- (sqrt (cbrt h0))) (sqrt (* (cbrt h0) (cbrt h0))) (* (sqrt (cbrt h0)) (sqrt (* (cbrt h0) (cbrt h0))))) (fma (* (cbrt (sqrt (+ h0 h1))) (cbrt (sqrt (+ h0 h1)))) (cbrt (sqrt (+ h0 h1))) (- (* (sqrt 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(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 (/ 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)) (sqrt 1)) (/ (cbrt 1.0) (+ (sqrt (+ z 1.0)) (sqrt z))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (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)) (/ (sqrt 1.0) (+ (sqrt (+ z 1.0)) (sqrt z))) (/ (sqrt 1.0) (sqrt 1)) (/ (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 (sqrt 1)) (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) (/ 1 (sqrt 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 (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 (/ t (sqrt 1.0)) (sqrt 1.0)) (fma t +nan.0 (* 1/8 (/ (pow t 2) (pow (sqrt 1.0) 3))))) (* +nan.0 (pow t 2))) (+ (fma +nan.0 (/ 1 (pow t 2)) (- +nan.0)) (/ (- +nan.0) t)) (+ (fma +nan.0 (/ 1 (pow t 2)) (- +nan.0)) (/ (- +nan.0) t)) (fma 1/2 (/ y (sqrt 1.0)) (- (sqrt 1.0) (fma +nan.0 (pow y 2) (- (* 1/8 (/ (pow y 2) (pow (sqrt 1.0) 3))) (* +nan.0 y))))) (+ (fma +nan.0 (/ 1 (pow y 2)) (- +nan.0)) (/ (- +nan.0) y)) (+ (fma +nan.0 (/ 1 (pow y 2)) (- +nan.0)) (/ (- +nan.0) y)) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (fma 1.0 (/ 1 (sqrt 1.0)) (* 0.375 (/ (pow z 2) (pow (sqrt 1.0) 5)))) (fma +nan.0 (/ (pow z 2) (pow (sqrt 1.0) 3)) (* 0.5 (/ z (pow (sqrt 1.0) 3))))) (+ (+ (* +nan.0 (/ (pow z 2) (pow (sqrt 1.0) 4))) (/ (- (* +nan.0 z)) 1.0)) (* +nan.0 (/ (pow z 2) (pow (sqrt 1.0) 2))))) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) 4.132 * * * [progress]: adding candidates to table 5.058 * * [progress]: iteration 4 / 4 5.058 * * * [progress]: picking best candidate 5.160 * * * * [pick]: Picked # 5.160 * * * [progress]: localizing error 5.187 * * * [progress]: generating rewritten candidates 5.187 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 5.207 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 5.257 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 5.319 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 5.372 * * * [progress]: generating series expansions 5.372 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 5.372 * [approximate]: Taking taylor expansion of 1.0 in (t) around 0 5.373 * [taylor]: Taking taylor expansion of 1.0 in t 5.373 * [taylor]: Taking taylor expansion of 1.0 in t 5.373 * [approximate]: Taking taylor expansion of 1.0 in (t) around 0 5.373 * [taylor]: Taking taylor expansion of 1.0 in t 5.373 * [taylor]: Taking taylor expansion of 1.0 in t 5.373 * [approximate]: Taking taylor expansion of 1.0 in (t) around 0 5.373 * [taylor]: Taking taylor expansion of 1.0 in t 5.373 * [taylor]: Taking taylor expansion of 1.0 in t 5.373 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 5.373 * [approximate]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in (y) around 0 5.373 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 5.373 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 5.373 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 5.373 * [taylor]: Taking taylor expansion of y in y 5.373 * [taylor]: Taking taylor expansion of 1.0 in y 5.375 * [taylor]: Taking taylor expansion of (sqrt y) in y 5.375 * [taylor]: Taking taylor expansion of y in y 5.376 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 5.376 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 5.376 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 5.376 * [taylor]: Taking taylor expansion of y in y 5.376 * [taylor]: Taking taylor expansion of 1.0 in y 5.378 * [taylor]: Taking taylor expansion of (sqrt y) in y 5.378 * [taylor]: Taking taylor expansion of y in y 5.396 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in (y) around 0 5.396 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 5.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 5.397 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 5.397 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.397 * [taylor]: Taking taylor expansion of y in y 5.397 * [taylor]: Taking taylor expansion of 1.0 in y 5.398 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 5.398 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.398 * [taylor]: Taking taylor expansion of y in y 5.399 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 5.399 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 5.399 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 5.399 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.399 * [taylor]: Taking taylor expansion of y in y 5.399 * [taylor]: Taking taylor expansion of 1.0 in y 5.401 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 5.401 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.401 * [taylor]: Taking taylor expansion of y in y 5.421 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in (y) around 0 5.421 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 5.421 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 5.421 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 5.421 * [taylor]: Taking taylor expansion of 1.0 in y 5.421 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.421 * [taylor]: Taking taylor expansion of y in y 5.423 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 5.423 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.423 * [taylor]: Taking taylor expansion of -1 in y 5.423 * [taylor]: Taking taylor expansion of y in y 5.424 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 5.424 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 5.424 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 5.424 * [taylor]: Taking taylor expansion of 1.0 in y 5.424 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.424 * [taylor]: Taking taylor expansion of y in y 5.425 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 5.425 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.425 * [taylor]: Taking taylor expansion of -1 in y 5.425 * [taylor]: Taking taylor expansion of y in y 5.440 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 5.440 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 5.440 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 5.440 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 5.440 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.440 * [taylor]: Taking taylor expansion of x in x 5.440 * [taylor]: Taking taylor expansion of 1.0 in x 5.442 * [taylor]: Taking taylor expansion of (sqrt x) in x 5.442 * [taylor]: Taking taylor expansion of x in x 5.443 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 5.443 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 5.443 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 5.443 * [taylor]: Taking taylor expansion of x in x 5.443 * [taylor]: Taking taylor expansion of 1.0 in x 5.444 * [taylor]: Taking taylor expansion of (sqrt x) in x 5.444 * [taylor]: Taking taylor expansion of x in x 5.462 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 5.462 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 5.462 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 5.462 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.462 * [taylor]: Taking taylor expansion of 1.0 in x 5.462 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.462 * [taylor]: Taking taylor expansion of x in x 5.464 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.464 * [taylor]: Taking taylor expansion of x in x 5.465 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 5.465 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 5.465 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 5.465 * [taylor]: Taking taylor expansion of 1.0 in x 5.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.465 * [taylor]: Taking taylor expansion of x in x 5.466 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.466 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.466 * [taylor]: Taking taylor expansion of x in x 5.481 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 5.481 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 5.481 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.481 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.481 * [taylor]: Taking taylor expansion of 1.0 in x 5.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.481 * [taylor]: Taking taylor expansion of x in x 5.483 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.483 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.483 * [taylor]: Taking taylor expansion of -1 in x 5.483 * [taylor]: Taking taylor expansion of x in x 5.484 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 5.484 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 5.484 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 5.484 * [taylor]: Taking taylor expansion of 1.0 in x 5.484 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.484 * [taylor]: Taking taylor expansion of x in x 5.485 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.485 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.485 * [taylor]: Taking taylor expansion of -1 in x 5.485 * [taylor]: Taking taylor expansion of x in x 5.506 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 5.506 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) in (z) around 0 5.506 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) in z 5.506 * [taylor]: Taking taylor expansion of 1.0 in z 5.506 * [taylor]: Taking taylor expansion of (+ (sqrt (+ z 1.0)) (sqrt z)) in z 5.506 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 5.506 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 5.506 * [taylor]: Taking taylor expansion of z in z 5.506 * [taylor]: Taking taylor expansion of 1.0 in z 5.508 * [taylor]: Taking taylor expansion of (sqrt z) in z 5.508 * [taylor]: Taking taylor expansion of z in z 5.510 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) in z 5.510 * [taylor]: Taking taylor expansion of 1.0 in z 5.510 * [taylor]: Taking taylor expansion of (+ (sqrt (+ z 1.0)) (sqrt z)) in z 5.510 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 5.510 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 5.510 * [taylor]: Taking taylor expansion of z in z 5.510 * [taylor]: Taking taylor expansion of 1.0 in z 5.512 * [taylor]: Taking taylor expansion of (sqrt z) in z 5.512 * [taylor]: Taking taylor expansion of z in z 5.588 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0)))) in (z) around 0 5.588 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0)))) in z 5.588 * [taylor]: Taking taylor expansion of 1.0 in z 5.588 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0))) in z 5.588 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 5.588 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.588 * [taylor]: Taking taylor expansion of z in z 5.589 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 5.589 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 5.589 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.589 * [taylor]: Taking taylor expansion of z in z 5.589 * [taylor]: Taking taylor expansion of 1.0 in z 5.591 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0)))) in z 5.591 * [taylor]: Taking taylor expansion of 1.0 in z 5.591 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 z)) (sqrt (+ (/ 1 z) 1.0))) in z 5.591 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 5.591 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.591 * [taylor]: Taking taylor expansion of z in z 5.593 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 5.593 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 5.593 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.593 * [taylor]: Taking taylor expansion of z in z 5.593 * [taylor]: Taking taylor expansion of 1.0 in z 5.611 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z)))) in (z) around 0 5.611 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z)))) in z 5.611 * [taylor]: Taking taylor expansion of 1.0 in z 5.611 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 5.611 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 5.611 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 5.611 * [taylor]: Taking taylor expansion of 1.0 in z 5.611 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.611 * [taylor]: Taking taylor expansion of z in z 5.613 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 5.613 * [taylor]: Taking taylor expansion of (/ -1 z) in z 5.613 * [taylor]: Taking taylor expansion of -1 in z 5.613 * [taylor]: Taking taylor expansion of z in z 5.615 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z)))) in z 5.615 * [taylor]: Taking taylor expansion of 1.0 in z 5.615 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 5.615 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 5.615 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 5.615 * [taylor]: Taking taylor expansion of 1.0 in z 5.615 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.615 * [taylor]: Taking taylor expansion of z in z 5.617 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 5.617 * [taylor]: Taking taylor expansion of (/ -1 z) in z 5.617 * [taylor]: Taking taylor expansion of -1 in z 5.617 * [taylor]: Taking taylor expansion of z in z 5.636 * * * [progress]: simplifying candidates 5.640 * [simplify]: Simplifying using # : (expm1 (+ t (- 1.0 t))) (log1p (+ t (- 1.0 t))) (* 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1.0)) (sqrt z)))) (* (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)))) (* (* (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z))) (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))) (/ 1.0 (+ (sqrt (+ z 1.0)) (sqrt z)))) (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)) 1) (/ (cbrt 1.0) (+ (sqrt (+ z 1.0)) (sqrt z))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (+ (sqrt (+ z 1.0)) (sqrt z))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (+ (sqrt (+ z 1.0)) (sqrt z))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (+ (sqrt (+ z 1.0)) 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(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) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt 1)) (/ 1.0 1) (/ (+ (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 (- (* (sqrt (+ z 1.0)) (sqrt (+ z 1.0))) (* (sqrt z) (sqrt z)))) 1.0 1.0 1.0 (- (+ (* 1/2 (/ y (sqrt 1.0))) (sqrt 1.0)) (+ (* +nan.0 (pow y 2)) (- (* 1/8 (/ (pow y 2) (pow (sqrt 1.0) 3))) (* +nan.0 y)))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) (- (+ (sqrt 1.0) (* 1/2 (/ x (sqrt 1.0)))) (+ (* +nan.0 (pow x 2)) (- (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))) (* +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))))) (- (+ (* 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))))) 5.642 * [simplify]: Sending expressions to egg_math: (expm1 (+ h0 (- h1 h0))) (log1p (+ h0 (- h1 h0))) (* (exp h0) (/ (exp h1) (exp h0))) (* (exp h0) (exp (- h1 h0))) (log (+ h0 (- h1 h0))) (exp (+ h0 (- h1 h0))) (* (cbrt (+ h0 (- h1 h0))) (cbrt (+ h0 (- h1 h0)))) (cbrt (+ h0 (- h1 h0))) (* (* (+ h0 (- h1 h0)) (+ h0 (- h1 h0))) (+ h0 (- h1 h0))) (sqrt (+ h0 (- h1 h0))) (sqrt (+ h0 (- h1 h0))) (+ (pow h0 3) (pow (- h1 h0) 3)) (+ (* h0 h0) (- (* (- h1 h0) (- h1 h0)) (* h0 (- h1 h0)))) (- (* h0 h0) (* (- h1 h0) (- h1 h0))) (- h0 (- h1 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1.0)) (/ (+ (sqrt (+ z 1.0)) (sqrt z)) (sqrt 1.0)) (/ (+ (sqrt (+ z 1.0)) (sqrt z)) 1.0) (/ 1.0 (+ (pow (sqrt (+ z 1.0)) 3) (pow (sqrt z) 3))) (/ 1.0 (* (+ z (- 1.0 z)) 1)) 1.0 1.0 1.0 (fma 1/2 (/ y (sqrt 1.0)) (- (sqrt 1.0) (fma +nan.0 (pow y 2) (- (* 1/8 (/ (pow y 2) (pow (sqrt 1.0) 3))) (* +nan.0 y))))) (+ (fma +nan.0 (/ 1 (pow y 2)) (- +nan.0)) (/ (- +nan.0) y)) (+ (fma +nan.0 (/ 1 (pow y 2)) (- +nan.0)) (/ (- +nan.0) y)) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (fma 1.0 (/ 1 (sqrt 1.0)) (* 0.375 (/ (pow z 2) (pow (sqrt 1.0) 5)))) (fma +nan.0 (/ (pow z 2) (pow (sqrt 1.0) 3)) (* 0.5 (/ z (pow (sqrt 1.0) 3))))) (+ (+ (* +nan.0 (/ (pow z 2) (pow (sqrt 1.0) 4))) (/ (- (* +nan.0 z)) 1.0)) (* +nan.0 (/ (pow z 2) (pow (sqrt 1.0) 2))))) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) 5.725 * * * [progress]: adding candidates to table 6.662 * [progress]: [Phase 3 of 3] Extracting. 6.662 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 6.680 * * * [regime-changes]: Trying 9 branch expressions: ((- (sqrt (+ t 1.0)) (sqrt t)) (- (sqrt (+ z 1.0)) (sqrt z)) (- (sqrt (+ y 1.0)) (sqrt y)) (- (sqrt (+ x 1.0)) (sqrt x)) (+ (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ y 1.0)) (sqrt y))) t z y x) 6.680 * * * * [regimes]: Trying to branch on (- (sqrt (+ t 1.0)) (sqrt t)) from (# # # # # # # # # # # # # #) 6.776 * * * * [regimes]: Trying to branch on (- (sqrt (+ t 1.0)) (sqrt t)) from (# # #) 6.806 * * * * [regimes]: Trying to branch on (- (sqrt (+ z 1.0)) (sqrt z)) from (# # # # # # # # # # # # # #) 6.900 * * * * [regimes]: Trying to branch on (- (sqrt (+ z 1.0)) (sqrt z)) from (# #) 6.924 * * * * [regimes]: Trying to branch on (- (sqrt (+ y 1.0)) (sqrt y)) from (# # # # # # # # # # # # # #) 7.022 * * * * [regimes]: Trying to branch on (- (sqrt (+ x 1.0)) (sqrt x)) from (# # # # # # # # # # # # # #) 7.123 * * * * [regimes]: Trying to branch on (+ (- (sqrt (+ x 1.0)) (sqrt x)) (- (sqrt (+ y 1.0)) (sqrt y))) from (# # # # # # # # # # # # # #) 7.231 * * * * [regimes]: Trying to branch on t from (# # # # # # # # # # # # # #) 7.331 * * * * [regimes]: Trying to branch on z from (# # # # # # # # # # # # # #) 7.425 * * * * [regimes]: Trying to branch on y from (# # # # # # # # # # # # # #) 7.524 * * * * [regimes]: Trying to branch on x from (# # # # # # # # # # # # # #) 7.624 * * * [regime]: Found split indices: #