7.604 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.688 * * * [progress]: [2/2] Setting up program. 0.693 * [progress]: [Phase 2 of 3] Improving. 0.693 * [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))) 0.698 * * [simplify]: iteration 0 : 51 enodes (cost 19 ) 0.700 * * [simplify]: iteration 1 : 156 enodes (cost 19 ) 0.704 * * [simplify]: iteration 2 : 907 enodes (cost 19 ) 0.724 * * [simplify]: iteration 3 : 5001 enodes (cost 19 ) 0.725 * [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))) 0.725 * * [progress]: iteration 1 / 4 0.725 * * * [progress]: picking best candidate 0.730 * * * * [pick]: Picked # 0.730 * * * [progress]: localizing error 0.752 * * * [progress]: generating rewritten candidates 0.752 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 0.779 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.807 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.834 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.876 * * * [progress]: generating series expansions 0.876 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 0.876 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 0.877 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.877 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.877 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of 1.0 in x 0.879 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 0.880 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 0.880 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of 1.0 in x 0.882 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.882 * [taylor]: Taking taylor expansion of x in x 0.901 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 0.901 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.901 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.901 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.901 * [taylor]: Taking taylor expansion of 1.0 in x 0.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.901 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.904 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 0.904 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 0.904 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.904 * [taylor]: Taking taylor expansion of 1.0 in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.921 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 0.921 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.921 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.921 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.921 * [taylor]: Taking taylor expansion of 1.0 in x 0.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.921 * [taylor]: Taking taylor expansion of x in x 0.923 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.923 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.923 * [taylor]: Taking taylor expansion of -1 in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 0.924 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 0.924 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 0.924 * [taylor]: Taking taylor expansion of 1.0 in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.926 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.926 * [taylor]: Taking taylor expansion of -1 in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.947 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.947 * [approximate]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in (z) around 0 0.947 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 0.947 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 0.947 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 0.947 * [taylor]: Taking taylor expansion of z in z 0.947 * [taylor]: Taking taylor expansion of 1.0 in z 0.949 * [taylor]: Taking taylor expansion of (sqrt z) in z 0.949 * [taylor]: Taking taylor expansion of z in z 0.950 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 0.950 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 0.950 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 0.950 * [taylor]: Taking taylor expansion of z in z 0.950 * [taylor]: Taking taylor expansion of 1.0 in z 0.952 * [taylor]: Taking taylor expansion of (sqrt z) in z 0.952 * [taylor]: Taking taylor expansion of z in z 0.972 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in (z) around 0 0.972 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 0.972 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 0.972 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.972 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.972 * [taylor]: Taking taylor expansion of z in z 0.973 * [taylor]: Taking taylor expansion of 1.0 in z 0.974 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 0.974 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.974 * [taylor]: Taking taylor expansion of z in z 0.975 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 0.975 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 0.975 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 0.975 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.975 * [taylor]: Taking taylor expansion of z in z 0.975 * [taylor]: Taking taylor expansion of 1.0 in z 0.977 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 0.977 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.977 * [taylor]: Taking taylor expansion of z in z 0.992 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in (z) around 0 0.992 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 0.992 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 0.992 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 0.992 * [taylor]: Taking taylor expansion of 1.0 in z 0.992 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.992 * [taylor]: Taking taylor expansion of z in z 0.994 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 0.994 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.994 * [taylor]: Taking taylor expansion of -1 in z 0.994 * [taylor]: Taking taylor expansion of z in z 0.995 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 0.995 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 0.995 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 0.995 * [taylor]: Taking taylor expansion of 1.0 in z 0.995 * [taylor]: Taking taylor expansion of (/ 1 z) in z 0.995 * [taylor]: Taking taylor expansion of z in z 0.997 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 0.997 * [taylor]: Taking taylor expansion of (/ -1 z) in z 0.997 * [taylor]: Taking taylor expansion of -1 in z 0.997 * [taylor]: Taking taylor expansion of z in z 1.013 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.013 * [approximate]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in (t) around 0 1.013 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 1.013 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 1.013 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 1.013 * [taylor]: Taking taylor expansion of t in t 1.013 * [taylor]: Taking taylor expansion of 1.0 in t 1.015 * [taylor]: Taking taylor expansion of (sqrt t) in t 1.015 * [taylor]: Taking taylor expansion of t in t 1.016 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 1.016 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 1.016 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 1.016 * [taylor]: Taking taylor expansion of t in t 1.016 * [taylor]: Taking taylor expansion of 1.0 in t 1.017 * [taylor]: Taking taylor expansion of (sqrt t) in t 1.018 * [taylor]: Taking taylor expansion of t in t 1.041 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in (t) around 0 1.041 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 1.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 1.041 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 1.041 * [taylor]: Taking taylor expansion of (/ 1 t) in t 1.041 * [taylor]: Taking taylor expansion of t in t 1.042 * [taylor]: Taking taylor expansion of 1.0 in t 1.043 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 1.043 * [taylor]: Taking taylor expansion of (/ 1 t) in t 1.043 * [taylor]: Taking taylor expansion of t in t 1.044 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 1.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 1.044 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 1.044 * [taylor]: Taking taylor expansion of (/ 1 t) in t 1.044 * [taylor]: Taking taylor expansion of t in t 1.044 * [taylor]: Taking taylor expansion of 1.0 in t 1.046 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 1.046 * [taylor]: Taking taylor expansion of (/ 1 t) in t 1.046 * [taylor]: Taking taylor expansion of t in t 1.061 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in (t) around 0 1.061 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 1.061 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 1.061 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 1.061 * [taylor]: Taking taylor expansion of 1.0 in t 1.061 * [taylor]: Taking taylor expansion of (/ 1 t) in t 1.061 * [taylor]: Taking taylor expansion of t in t 1.063 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 1.063 * [taylor]: Taking taylor expansion of (/ -1 t) in t 1.063 * [taylor]: Taking taylor expansion of -1 in t 1.063 * [taylor]: Taking taylor expansion of t in t 1.064 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 1.064 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 1.065 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 1.065 * [taylor]: Taking taylor expansion of 1.0 in t 1.065 * [taylor]: Taking taylor expansion of (/ 1 t) in t 1.065 * [taylor]: Taking taylor expansion of t in t 1.066 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 1.066 * [taylor]: Taking taylor expansion of (/ -1 t) in t 1.066 * [taylor]: Taking taylor expansion of -1 in t 1.066 * [taylor]: Taking taylor expansion of t in t 1.083 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.083 * [approximate]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in (y) around 0 1.083 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 1.083 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 1.083 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.083 * [taylor]: Taking taylor expansion of y in y 1.083 * [taylor]: Taking taylor expansion of 1.0 in y 1.085 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.085 * [taylor]: Taking taylor expansion of y in y 1.086 * [taylor]: Taking taylor expansion of (- (sqrt (+ y 1.0)) (sqrt y)) in y 1.086 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 1.086 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 1.086 * [taylor]: Taking taylor expansion of y in y 1.086 * [taylor]: Taking taylor expansion of 1.0 in y 1.088 * [taylor]: Taking taylor expansion of (sqrt y) in y 1.088 * [taylor]: Taking taylor expansion of y in y 1.107 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in (y) around 0 1.107 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 1.107 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 1.107 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.107 * [taylor]: Taking taylor expansion of y in y 1.107 * [taylor]: Taking taylor expansion of 1.0 in y 1.109 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.109 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.109 * [taylor]: Taking taylor expansion of y in y 1.110 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 y) 1.0)) (sqrt (/ 1 y))) in y 1.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 1.110 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 1.110 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.110 * [taylor]: Taking taylor expansion of y in y 1.113 * [taylor]: Taking taylor expansion of 1.0 in y 1.114 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 1.114 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.114 * [taylor]: Taking taylor expansion of y in y 1.130 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in (y) around 0 1.130 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 1.130 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 1.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.131 * [taylor]: Taking taylor expansion of 1.0 in y 1.131 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.131 * [taylor]: Taking taylor expansion of y in y 1.132 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 1.132 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.132 * [taylor]: Taking taylor expansion of -1 in y 1.132 * [taylor]: Taking taylor expansion of y in y 1.134 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 y))) (sqrt (/ -1 y))) in y 1.134 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 1.134 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 1.134 * [taylor]: Taking taylor expansion of 1.0 in y 1.134 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.134 * [taylor]: Taking taylor expansion of y in y 1.135 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 1.135 * [taylor]: Taking taylor expansion of (/ -1 y) in y 1.135 * [taylor]: Taking taylor expansion of -1 in y 1.135 * [taylor]: Taking taylor expansion of y in y 1.151 * * * [progress]: simplifying candidates 1.156 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) 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(+ (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)) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (fma 1/2 (/ z (sqrt 1.0)) (sqrt 1.0)) (* 1/8 (/ (pow z 2) (pow (sqrt 1.0) 3)))) (* +nan.0 (- (pow z 2) z))) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) (+ (- (fma 1/2 (/ t (sqrt 1.0)) (sqrt 1.0)) (fma t +nan.0 (* 1/8 (/ (pow t 2) (pow (sqrt 1.0) 3))))) (* +nan.0 (pow t 2))) (+ (fma +nan.0 (/ 1 (pow t 2)) (- +nan.0)) (/ (- +nan.0) t)) (+ (fma +nan.0 (/ 1 (pow t 2)) (- +nan.0)) (/ (- +nan.0) t)) (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)) 1.252 * * * [progress]: adding candidates to table 2.135 * * [progress]: iteration 2 / 4 2.135 * * * [progress]: picking best candidate 2.222 * * * * [pick]: Picked # 2.222 * * * [progress]: localizing error 2.255 * * * [progress]: generating rewritten candidates 2.255 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.281 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.309 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.340 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 2.359 * * * [progress]: generating series expansions 2.359 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.359 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 2.359 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 2.359 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.359 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.360 * [taylor]: Taking taylor expansion of x in x 2.360 * [taylor]: Taking taylor expansion of 1.0 in x 2.362 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.362 * [taylor]: Taking taylor expansion of x in x 2.363 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 2.363 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 2.363 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 2.363 * [taylor]: Taking taylor expansion of x in x 2.363 * [taylor]: Taking taylor expansion of 1.0 in x 2.365 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.365 * [taylor]: Taking taylor expansion of x in x 2.384 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 2.384 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 2.384 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.384 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.384 * [taylor]: Taking taylor expansion of 1.0 in x 2.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.384 * [taylor]: Taking taylor expansion of x in x 2.386 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.386 * [taylor]: Taking taylor expansion of x in x 2.387 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 2.387 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 2.387 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.387 * [taylor]: Taking taylor expansion of 1.0 in x 2.387 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.387 * [taylor]: Taking taylor expansion of x in x 2.394 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.394 * [taylor]: Taking taylor expansion of x in x 2.411 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 2.411 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.411 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.411 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.411 * [taylor]: Taking taylor expansion of 1.0 in x 2.411 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.411 * [taylor]: Taking taylor expansion of x in x 2.412 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.412 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.412 * [taylor]: Taking taylor expansion of -1 in x 2.412 * [taylor]: Taking taylor expansion of x in x 2.414 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 2.414 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 2.414 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 2.414 * [taylor]: Taking taylor expansion of 1.0 in x 2.414 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.414 * [taylor]: Taking taylor expansion of x in x 2.415 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.415 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.415 * [taylor]: Taking taylor expansion of -1 in x 2.415 * [taylor]: Taking taylor expansion of x in x 2.431 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.431 * [approximate]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in (z) around 0 2.431 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 2.431 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 2.432 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 2.432 * [taylor]: Taking taylor expansion of z in z 2.432 * [taylor]: Taking taylor expansion of 1.0 in z 2.433 * [taylor]: Taking taylor expansion of (sqrt z) in z 2.433 * [taylor]: Taking taylor expansion of z in z 2.434 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 2.434 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 2.434 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 2.434 * [taylor]: Taking taylor expansion of z in z 2.434 * [taylor]: Taking taylor expansion of 1.0 in z 2.436 * [taylor]: Taking taylor expansion of (sqrt z) in z 2.436 * [taylor]: Taking taylor expansion of z in z 2.456 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in (z) around 0 2.456 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 2.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 2.456 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 2.456 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.456 * [taylor]: Taking taylor expansion of z in z 2.456 * [taylor]: Taking taylor expansion of 1.0 in z 2.457 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 2.458 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.458 * [taylor]: Taking taylor expansion of z in z 2.459 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 2.459 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 2.459 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 2.459 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.459 * [taylor]: Taking taylor expansion of z in z 2.459 * [taylor]: Taking taylor expansion of 1.0 in z 2.460 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 2.460 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.460 * [taylor]: Taking taylor expansion of z in z 2.481 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in (z) around 0 2.481 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 2.481 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 2.481 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 2.481 * [taylor]: Taking taylor expansion of 1.0 in z 2.481 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.481 * [taylor]: Taking taylor expansion of z in z 2.483 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 2.483 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.483 * [taylor]: Taking taylor expansion of -1 in z 2.483 * [taylor]: Taking taylor expansion of z in z 2.484 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 2.484 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 2.484 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 2.485 * [taylor]: Taking taylor expansion of 1.0 in z 2.485 * [taylor]: Taking taylor expansion of (/ 1 z) in z 2.485 * [taylor]: Taking taylor expansion of z in z 2.486 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 2.486 * [taylor]: Taking taylor expansion of (/ -1 z) in z 2.486 * [taylor]: Taking taylor expansion of -1 in z 2.486 * [taylor]: Taking taylor expansion of z in z 2.502 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.502 * [approximate]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in (t) around 0 2.502 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 2.502 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 2.502 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 2.502 * [taylor]: Taking taylor expansion of t in t 2.502 * [taylor]: Taking taylor expansion of 1.0 in t 2.504 * [taylor]: Taking taylor expansion of (sqrt t) in t 2.504 * [taylor]: Taking taylor expansion of t in t 2.505 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 2.505 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 2.505 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 2.505 * [taylor]: Taking taylor expansion of t in t 2.505 * [taylor]: Taking taylor expansion of 1.0 in t 2.507 * [taylor]: Taking taylor expansion of (sqrt t) in t 2.507 * [taylor]: Taking taylor expansion of t in t 2.526 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in (t) around 0 2.526 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 2.526 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 2.526 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 2.526 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.526 * [taylor]: Taking taylor expansion of t in t 2.527 * [taylor]: Taking taylor expansion of 1.0 in t 2.528 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 2.528 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.528 * [taylor]: Taking taylor expansion of t in t 2.529 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 2.529 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 2.529 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 2.529 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.529 * [taylor]: Taking taylor expansion of t in t 2.530 * [taylor]: Taking taylor expansion of 1.0 in t 2.531 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 2.531 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.531 * [taylor]: Taking taylor expansion of t in t 2.546 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in (t) around 0 2.546 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 2.546 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 2.546 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 2.546 * [taylor]: Taking taylor expansion of 1.0 in t 2.546 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.546 * [taylor]: Taking taylor expansion of t in t 2.548 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 2.548 * [taylor]: Taking taylor expansion of (/ -1 t) in t 2.548 * [taylor]: Taking taylor expansion of -1 in t 2.548 * [taylor]: Taking taylor expansion of t in t 2.549 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 2.549 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 2.549 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 2.549 * [taylor]: Taking taylor expansion of 1.0 in t 2.549 * [taylor]: Taking taylor expansion of (/ 1 t) in t 2.549 * [taylor]: Taking taylor expansion of t in t 2.551 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 2.551 * [taylor]: Taking taylor expansion of (/ -1 t) in t 2.551 * [taylor]: Taking taylor expansion of -1 in t 2.551 * [taylor]: Taking taylor expansion of t in t 2.573 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 2.573 * [approximate]: Taking taylor expansion of 1.0 in (y) around 0 2.573 * [taylor]: Taking taylor expansion of 1.0 in y 2.573 * [taylor]: Taking taylor expansion of 1.0 in y 2.573 * [approximate]: Taking taylor expansion of 1.0 in (y) around 0 2.573 * [taylor]: Taking taylor expansion of 1.0 in y 2.573 * [taylor]: Taking taylor expansion of 1.0 in y 2.573 * [approximate]: Taking taylor expansion of 1.0 in (y) around 0 2.573 * [taylor]: Taking taylor expansion of 1.0 in y 2.573 * [taylor]: Taking taylor expansion of 1.0 in y 2.574 * * * [progress]: simplifying candidates 2.578 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt 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1.0))) (fabs (cbrt (+ t 1.0))) (- (sqrt t))) (fma (- (sqrt t)) 1 (sqrt t)) (fma (sqrt (cbrt (+ t 1.0))) (fabs (cbrt (+ t 1.0))) (- (sqrt t))) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (* (fabs (cbrt t)) (sqrt (cbrt t)))) (* (sqrt (cbrt t)) (+ (- (fabs (cbrt t))) (fabs (cbrt t)))) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (* (fabs (cbrt t)) (sqrt (cbrt t)))) (* (sqrt (cbrt t)) (+ (- (fabs (cbrt t))) (fabs (cbrt t)))) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (* (fabs (cbrt t)) (sqrt (cbrt t)))) (* (sqrt (cbrt t)) (+ (- (fabs (cbrt t))) (fabs (cbrt t)))) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (* (fabs (cbrt t)) (sqrt (cbrt t)))) (* (sqrt (cbrt t)) (+ (- (fabs (cbrt t))) (fabs (cbrt t)))) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (* (fabs (cbrt t)) (sqrt (cbrt t)))) (* (sqrt (cbrt t)) (+ (- (fabs (cbrt t))) (fabs (cbrt t)))) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (expm1 (- (sqrt (+ t 1.0)) (sqrt t))) (log1p (- (sqrt (+ t 1.0)) (sqrt t))) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (exp (- (sqrt (+ t 1.0)) (sqrt t))) (log (- (sqrt (+ t 1.0)) (sqrt t))) (exp (- (sqrt (+ t 1.0)) (sqrt t))) (* (cbrt (- (sqrt (+ t 1.0)) (sqrt t))) (cbrt (- (sqrt (+ t 1.0)) (sqrt t)))) (cbrt (- (sqrt (+ t 1.0)) (sqrt t))) (pow (- (sqrt (+ t 1.0)) (sqrt t)) 3) (sqrt (- (sqrt (+ t 1.0)) (sqrt t))) (sqrt (- (sqrt (+ t 1.0)) (sqrt t))) (- (pow (sqrt (+ t 1.0)) 3) (pow (sqrt t) 3)) (+ (+ (fma (sqrt t) (sqrt (+ t 1.0)) t) t) 1.0) (- (sqrt t)) (+ t (- 1.0 t)) (+ (sqrt (+ t 1.0)) (sqrt t)) (+ (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (+ (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (+ (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (+ (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (+ t 1.0)) (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (- (sqrt t)) (expm1 (+ y (- 1.0 y))) (log1p (+ y (- 1.0 y))) (exp (+ y (- 1.0 y))) (exp (+ y (- 1.0 y))) (log (+ y (- 1.0 y))) (exp (+ y (- 1.0 y))) (* (cbrt (+ y (- 1.0 y))) (cbrt (+ y (- 1.0 y)))) (cbrt (+ y (- 1.0 y))) (pow (+ y (- 1.0 y)) 3) (sqrt (+ y (- 1.0 y))) (sqrt (+ y (- 1.0 y))) (+ (pow y 3) (pow (- 1.0 y) 3)) (fma y y (* (- 1.0 y) (- (- 1.0 y) y))) (- (* y y) (* (- 1.0 y) (- 1.0 y))) (- y (- 1.0 y)) (+ y (- 1.0 y)) (+ y (- 1.0 y)) (+ y (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) y)) (+ y (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) y)) (+ y (- (* (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0)) y)) (+ y (- 1.0 y)) (+ y (- 1.0 y)) (+ y (- 1.0 y)) (+ y (- 1.0 y)) (+ y (- 1.0 y)) (+ y (- 1.0 y)) (+ y 1.0) (+ y 1.0) (+ y 1.0) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (fma 1/2 (/ z (sqrt 1.0)) (sqrt 1.0)) (* 1/8 (/ (pow z 2) (pow (sqrt 1.0) 3)))) (* +nan.0 (- (pow z 2) z))) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) (+ (- (fma 1/2 (/ t (sqrt 1.0)) (sqrt 1.0)) (fma t +nan.0 (* 1/8 (/ (pow t 2) (pow (sqrt 1.0) 3))))) (* +nan.0 (pow t 2))) (+ (fma +nan.0 (/ 1 (pow t 2)) (- +nan.0)) (/ (- +nan.0) t)) (+ (fma +nan.0 (/ 1 (pow t 2)) (- +nan.0)) (/ (- +nan.0) t)) 1.0 1.0 1.0 2.662 * * * [progress]: adding candidates to table 3.431 * * [progress]: iteration 3 / 4 3.431 * * * [progress]: picking best candidate 3.516 * * * * [pick]: Picked # 3.516 * * * [progress]: localizing error 3.545 * * * [progress]: generating rewritten candidates 3.545 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 3.572 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 3.600 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.629 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 3.664 * * * [progress]: generating series expansions 3.664 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 3.664 * [approximate]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in (x) around 0 3.664 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 3.664 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.664 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.664 * [taylor]: Taking taylor expansion of x in x 3.664 * [taylor]: Taking taylor expansion of 1.0 in x 3.666 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.666 * [taylor]: Taking taylor expansion of x in x 3.668 * [taylor]: Taking taylor expansion of (- (sqrt (+ x 1.0)) (sqrt x)) in x 3.668 * [taylor]: Taking taylor expansion of (sqrt (+ x 1.0)) in x 3.668 * [taylor]: Taking taylor expansion of (+ x 1.0) in x 3.668 * [taylor]: Taking taylor expansion of x in x 3.668 * [taylor]: Taking taylor expansion of 1.0 in x 3.670 * [taylor]: Taking taylor expansion of (sqrt x) in x 3.670 * [taylor]: Taking taylor expansion of x in x 3.695 * [approximate]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in (x) around 0 3.695 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 3.695 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.695 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.695 * [taylor]: Taking taylor expansion of 1.0 in x 3.695 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.695 * [taylor]: Taking taylor expansion of x in x 3.697 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.697 * [taylor]: Taking taylor expansion of x in x 3.698 * [taylor]: Taking taylor expansion of (- (sqrt (+ 1.0 (/ 1 x))) (sqrt (/ 1 x))) in x 3.698 * [taylor]: Taking taylor expansion of (sqrt (+ 1.0 (/ 1 x))) in x 3.698 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 3.698 * [taylor]: Taking taylor expansion of 1.0 in x 3.698 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.698 * [taylor]: Taking taylor expansion of x in x 3.699 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 3.699 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.699 * [taylor]: Taking taylor expansion of x in x 3.715 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in (x) around 0 3.715 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 3.715 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.715 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.715 * [taylor]: Taking taylor expansion of 1.0 in x 3.715 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.715 * [taylor]: Taking taylor expansion of x in x 3.717 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.717 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.717 * [taylor]: Taking taylor expansion of -1 in x 3.717 * [taylor]: Taking taylor expansion of x in x 3.718 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 x))) (sqrt (/ -1 x))) in x 3.718 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 x))) in x 3.718 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 x)) in x 3.718 * [taylor]: Taking taylor expansion of 1.0 in x 3.718 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.718 * [taylor]: Taking taylor expansion of x in x 3.720 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 3.720 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.720 * [taylor]: Taking taylor expansion of -1 in x 3.720 * [taylor]: Taking taylor expansion of x in x 3.736 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 3.736 * [approximate]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in (z) around 0 3.736 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 3.736 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 3.736 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 3.736 * [taylor]: Taking taylor expansion of z in z 3.736 * [taylor]: Taking taylor expansion of 1.0 in z 3.738 * [taylor]: Taking taylor expansion of (sqrt z) in z 3.738 * [taylor]: Taking taylor expansion of z in z 3.739 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 3.739 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 3.739 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 3.739 * [taylor]: Taking taylor expansion of z in z 3.739 * [taylor]: Taking taylor expansion of 1.0 in z 3.741 * [taylor]: Taking taylor expansion of (sqrt z) in z 3.741 * [taylor]: Taking taylor expansion of z in z 3.760 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in (z) around 0 3.760 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 3.760 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 3.760 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 3.760 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.760 * [taylor]: Taking taylor expansion of z in z 3.761 * [taylor]: Taking taylor expansion of 1.0 in z 3.762 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 3.762 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.762 * [taylor]: Taking taylor expansion of z in z 3.763 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 3.763 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 3.763 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 3.763 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.763 * [taylor]: Taking taylor expansion of z in z 3.763 * [taylor]: Taking taylor expansion of 1.0 in z 3.765 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 3.765 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.765 * [taylor]: Taking taylor expansion of z in z 3.788 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in (z) around 0 3.788 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 3.788 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 3.788 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 3.788 * [taylor]: Taking taylor expansion of 1.0 in z 3.788 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.788 * [taylor]: Taking taylor expansion of z in z 3.789 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 3.789 * [taylor]: Taking taylor expansion of (/ -1 z) in z 3.789 * [taylor]: Taking taylor expansion of -1 in z 3.789 * [taylor]: Taking taylor expansion of z in z 3.791 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 3.791 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 3.791 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 3.791 * [taylor]: Taking taylor expansion of 1.0 in z 3.791 * [taylor]: Taking taylor expansion of (/ 1 z) in z 3.791 * [taylor]: Taking taylor expansion of z in z 3.793 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 3.793 * [taylor]: Taking taylor expansion of (/ -1 z) in z 3.793 * [taylor]: Taking taylor expansion of -1 in z 3.793 * [taylor]: Taking taylor expansion of z in z 3.809 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.809 * [approximate]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in (t) around 0 3.809 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 3.809 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 3.809 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 3.809 * [taylor]: Taking taylor expansion of t in t 3.809 * [taylor]: Taking taylor expansion of 1.0 in t 3.811 * [taylor]: Taking taylor expansion of (sqrt t) in t 3.811 * [taylor]: Taking taylor expansion of t in t 3.812 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 3.812 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 3.812 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 3.812 * [taylor]: Taking taylor expansion of t in t 3.812 * [taylor]: Taking taylor expansion of 1.0 in t 3.813 * [taylor]: Taking taylor expansion of (sqrt t) in t 3.813 * [taylor]: Taking taylor expansion of t in t 3.833 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in (t) around 0 3.833 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 3.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 3.833 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 3.833 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.834 * [taylor]: Taking taylor expansion of t in t 3.834 * [taylor]: Taking taylor expansion of 1.0 in t 3.835 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 3.835 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.835 * [taylor]: Taking taylor expansion of t in t 3.836 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 3.836 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 3.836 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 3.836 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.836 * [taylor]: Taking taylor expansion of t in t 3.837 * [taylor]: Taking taylor expansion of 1.0 in t 3.838 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 3.838 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.838 * [taylor]: Taking taylor expansion of t in t 3.853 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in (t) around 0 3.853 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 3.853 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 3.853 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 3.853 * [taylor]: Taking taylor expansion of 1.0 in t 3.853 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.853 * [taylor]: Taking taylor expansion of t in t 3.855 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 3.855 * [taylor]: Taking taylor expansion of (/ -1 t) in t 3.855 * [taylor]: Taking taylor expansion of -1 in t 3.855 * [taylor]: Taking taylor expansion of t in t 3.862 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 3.862 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 3.863 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 3.863 * [taylor]: Taking taylor expansion of 1.0 in t 3.863 * [taylor]: Taking taylor expansion of (/ 1 t) in t 3.863 * [taylor]: Taking taylor expansion of t in t 3.864 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 3.865 * [taylor]: Taking taylor expansion of (/ -1 t) in t 3.865 * [taylor]: Taking taylor expansion of -1 in t 3.865 * [taylor]: Taking taylor expansion of t in t 3.881 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 3.881 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) in (y) around 0 3.881 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) in y 3.881 * [taylor]: Taking taylor expansion of 1.0 in y 3.881 * [taylor]: Taking taylor expansion of (+ (sqrt (+ y 1.0)) (sqrt y)) in y 3.881 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 3.881 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 3.881 * [taylor]: Taking taylor expansion of y in y 3.881 * [taylor]: Taking taylor expansion of 1.0 in y 3.883 * [taylor]: Taking taylor expansion of (sqrt y) in y 3.883 * [taylor]: Taking taylor expansion of y in y 3.885 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) in y 3.885 * [taylor]: Taking taylor expansion of 1.0 in y 3.885 * [taylor]: Taking taylor expansion of (+ (sqrt (+ y 1.0)) (sqrt y)) in y 3.885 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 3.885 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 3.885 * [taylor]: Taking taylor expansion of y in y 3.885 * [taylor]: Taking taylor expansion of 1.0 in y 3.887 * [taylor]: Taking taylor expansion of (sqrt y) in y 3.887 * [taylor]: Taking taylor expansion of y in y 3.967 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0)))) in (y) around 0 3.967 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0)))) in y 3.967 * [taylor]: Taking taylor expansion of 1.0 in y 3.967 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0))) in y 3.967 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 3.967 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.967 * [taylor]: Taking taylor expansion of y in y 3.968 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 3.968 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 3.968 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.968 * [taylor]: Taking taylor expansion of y in y 3.969 * [taylor]: Taking taylor expansion of 1.0 in y 3.971 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0)))) in y 3.971 * [taylor]: Taking taylor expansion of 1.0 in y 3.971 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0))) in y 3.971 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 3.971 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.971 * [taylor]: Taking taylor expansion of y in y 3.972 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 3.972 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 3.973 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.973 * [taylor]: Taking taylor expansion of y in y 3.973 * [taylor]: Taking taylor expansion of 1.0 in y 3.993 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y))))) in (y) around 0 3.993 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y))))) in y 3.993 * [taylor]: Taking taylor expansion of 1.0 in y 3.993 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y)))) in y 3.993 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 3.993 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.993 * [taylor]: Taking taylor expansion of -1 in y 3.993 * [taylor]: Taking taylor expansion of y in y 3.994 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 3.994 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 3.994 * [taylor]: Taking taylor expansion of 1.0 in y 3.994 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.994 * [taylor]: Taking taylor expansion of y in y 3.997 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y))))) in y 3.997 * [taylor]: Taking taylor expansion of 1.0 in y 3.997 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y)))) in y 3.997 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 3.997 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.997 * [taylor]: Taking taylor expansion of -1 in y 3.997 * [taylor]: Taking taylor expansion of y in y 3.998 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 3.998 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 3.998 * [taylor]: Taking taylor expansion of 1.0 in y 3.998 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.998 * [taylor]: Taking taylor expansion of y in y 4.019 * * * [progress]: simplifying candidates 4.031 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))) (sqrt (cbrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt (sqrt (+ x 1.0))) (sqrt (sqrt (+ x 1.0))) (- (* (sqrt x) 1))) (fma (- (sqrt x)) 1 (* (sqrt x) 1)) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))))) (fma (- (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x)))))) (fma (- (sqrt (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (sqrt (cbrt x)) (sqrt (* (cbrt x) (cbrt x))))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt (sqrt x))))) (fma (- (sqrt (sqrt x))) (sqrt (sqrt x)) (* (sqrt (sqrt x)) (sqrt (sqrt x)))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt x) (sqrt 1)))) (fma (- (sqrt x)) (sqrt 1) (* (sqrt x) (sqrt 1))) (fma (sqrt 1) (sqrt (+ x 1.0)) (- (* (sqrt (sqrt x)) (sqrt 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3619 ) 4.059 * * [simplify]: iteration 1 : 3176 enodes (cost 2584 ) 4.111 * * [simplify]: iteration 2 : 5002 enodes (cost 2530 ) 4.122 * [simplify]: Simplified to: (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (* (fabs (cbrt x)) (sqrt (cbrt x)))) (* (sqrt (cbrt x)) (+ (- (fabs (cbrt x))) (fabs (cbrt x)))) (- (* (* (cbrt (sqrt (+ x 1.0))) (cbrt (sqrt (+ x 1.0)))) (cbrt (sqrt (+ x 1.0)))) (sqrt x)) (fma (- (sqrt x)) 1 (sqrt x)) (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 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1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))) (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (/ 1 (* (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))) (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (/ 1.0 (cbrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (/ 1 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (/ 1.0 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) 1 (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) (/ 1 (sqrt 1)) (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) (/ 1 (sqrt 1)) (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) 1 (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) (/ 1 (+ (sqrt (+ y 1.0)) (sqrt y))) (/ (+ (sqrt (+ y 1.0)) (sqrt y)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))) (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (/ 1.0 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) 1.0 (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt 1)) 1.0 (/ (+ (sqrt (+ y 1.0)) (sqrt y)) (cbrt 1.0)) (/ (+ (sqrt (+ y 1.0)) (sqrt y)) (sqrt 1.0)) (/ (+ (sqrt (+ y 1.0)) (sqrt y)) 1.0) (/ 1.0 (+ (pow (sqrt (+ y 1.0)) 3) (pow (sqrt y) 3))) (/ 1.0 (* (+ y (- 1.0 y)) 1)) (+ (- (fma 1/2 (/ x (sqrt 1.0)) (sqrt 1.0)) (fma (pow x 2) +nan.0 (* 1/8 (/ (pow x 2) (pow (sqrt 1.0) 3))))) (* +nan.0 x)) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (fma +nan.0 (/ 1 x) (- +nan.0)) (/ (- +nan.0) (pow x 2))) (+ (- (fma 1/2 (/ z (sqrt 1.0)) (sqrt 1.0)) (* 1/8 (/ (pow z 2) (pow (sqrt 1.0) 3)))) (* +nan.0 (- (pow z 2) z))) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) (+ (- (fma 1/2 (/ t (sqrt 1.0)) (sqrt 1.0)) (fma t +nan.0 (* 1/8 (/ (pow t 2) (pow (sqrt 1.0) 3))))) (* +nan.0 (pow t 2))) (+ (fma +nan.0 (/ 1 (pow t 2)) (- +nan.0)) (/ (- +nan.0) t)) (+ (fma +nan.0 (/ 1 (pow t 2)) (- +nan.0)) (/ (- +nan.0) t)) (+ (- (fma 1.0 (/ 1 (sqrt 1.0)) (* 0.375 (/ (pow y 2) (pow (sqrt 1.0) 5)))) (fma +nan.0 (/ y (pow (sqrt 1.0) 2)) (* 0.5 (/ y (pow (sqrt 1.0) 3))))) (+ (- (* +nan.0 (/ (pow y 2) (pow (sqrt 1.0) 2))) (* +nan.0 (/ (pow y 2) (pow (sqrt 1.0) 3)))) (* +nan.0 (* (/ y 1.0) (/ y 1.0))))) (+ (fma +nan.0 (/ 1 (pow y 2)) (- +nan.0)) (/ (- +nan.0) y)) (+ (fma +nan.0 (/ 1 (pow y 2)) (- +nan.0)) (/ (- +nan.0) y)) 4.124 * * * [progress]: adding candidates to table 5.064 * * [progress]: iteration 4 / 4 5.064 * * * [progress]: picking best candidate 5.149 * * * * [pick]: Picked # 5.149 * * * [progress]: localizing error 5.199 * * * [progress]: generating rewritten candidates 5.199 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 5.241 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 5.249 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 5.277 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 5.312 * * * [progress]: generating series expansions 5.312 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 5.312 * [approximate]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in (z) around 0 5.312 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 5.312 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 5.312 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 5.312 * [taylor]: Taking taylor expansion of z in z 5.312 * [taylor]: Taking taylor expansion of 1.0 in z 5.314 * [taylor]: Taking taylor expansion of (sqrt z) in z 5.314 * [taylor]: Taking taylor expansion of z in z 5.316 * [taylor]: Taking taylor expansion of (- (sqrt (+ z 1.0)) (sqrt z)) in z 5.316 * [taylor]: Taking taylor expansion of (sqrt (+ z 1.0)) in z 5.316 * [taylor]: Taking taylor expansion of (+ z 1.0) in z 5.316 * [taylor]: Taking taylor expansion of z in z 5.316 * [taylor]: Taking taylor expansion of 1.0 in z 5.317 * [taylor]: Taking taylor expansion of (sqrt z) in z 5.317 * [taylor]: Taking taylor expansion of z in z 5.339 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in (z) around 0 5.339 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 5.339 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 5.339 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 5.339 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.339 * [taylor]: Taking taylor expansion of z in z 5.339 * [taylor]: Taking taylor expansion of 1.0 in z 5.340 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 5.340 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.340 * [taylor]: Taking taylor expansion of z in z 5.342 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 z) 1.0)) (sqrt (/ 1 z))) in z 5.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 z) 1.0)) in z 5.342 * [taylor]: Taking taylor expansion of (+ (/ 1 z) 1.0) in z 5.342 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.342 * [taylor]: Taking taylor expansion of z in z 5.342 * [taylor]: Taking taylor expansion of 1.0 in z 5.343 * [taylor]: Taking taylor expansion of (sqrt (/ 1 z)) in z 5.343 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.343 * [taylor]: Taking taylor expansion of z in z 5.359 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in (z) around 0 5.359 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 5.359 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 5.359 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 5.359 * [taylor]: Taking taylor expansion of 1.0 in z 5.359 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.359 * [taylor]: Taking taylor expansion of z in z 5.361 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 5.361 * [taylor]: Taking taylor expansion of (/ -1 z) in z 5.361 * [taylor]: Taking taylor expansion of -1 in z 5.361 * [taylor]: Taking taylor expansion of z in z 5.362 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 z))) (sqrt (/ -1 z))) in z 5.363 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 z))) in z 5.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 z)) in z 5.363 * [taylor]: Taking taylor expansion of 1.0 in z 5.363 * [taylor]: Taking taylor expansion of (/ 1 z) in z 5.363 * [taylor]: Taking taylor expansion of z in z 5.364 * [taylor]: Taking taylor expansion of (sqrt (/ -1 z)) in z 5.364 * [taylor]: Taking taylor expansion of (/ -1 z) in z 5.364 * [taylor]: Taking taylor expansion of -1 in z 5.364 * [taylor]: Taking taylor expansion of z in z 5.388 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 5.388 * [approximate]: Taking taylor expansion of 1.0 in (x) around 0 5.388 * [taylor]: Taking taylor expansion of 1.0 in x 5.388 * [taylor]: Taking taylor expansion of 1.0 in x 5.388 * [approximate]: Taking taylor expansion of 1.0 in (x) around 0 5.388 * [taylor]: Taking taylor expansion of 1.0 in x 5.388 * [taylor]: Taking taylor expansion of 1.0 in x 5.388 * [approximate]: Taking taylor expansion of 1.0 in (x) around 0 5.388 * [taylor]: Taking taylor expansion of 1.0 in x 5.388 * [taylor]: Taking taylor expansion of 1.0 in x 5.389 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 5.389 * [approximate]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in (t) around 0 5.389 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 5.389 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 5.389 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 5.389 * [taylor]: Taking taylor expansion of t in t 5.389 * [taylor]: Taking taylor expansion of 1.0 in t 5.390 * [taylor]: Taking taylor expansion of (sqrt t) in t 5.391 * [taylor]: Taking taylor expansion of t in t 5.392 * [taylor]: Taking taylor expansion of (- (sqrt (+ t 1.0)) (sqrt t)) in t 5.392 * [taylor]: Taking taylor expansion of (sqrt (+ t 1.0)) in t 5.392 * [taylor]: Taking taylor expansion of (+ t 1.0) in t 5.392 * [taylor]: Taking taylor expansion of t in t 5.392 * [taylor]: Taking taylor expansion of 1.0 in t 5.393 * [taylor]: Taking taylor expansion of (sqrt t) in t 5.393 * [taylor]: Taking taylor expansion of t in t 5.414 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in (t) around 0 5.414 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 5.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 5.414 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 5.414 * [taylor]: Taking taylor expansion of (/ 1 t) in t 5.414 * [taylor]: Taking taylor expansion of t in t 5.414 * [taylor]: Taking taylor expansion of 1.0 in t 5.415 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 5.415 * [taylor]: Taking taylor expansion of (/ 1 t) in t 5.415 * [taylor]: Taking taylor expansion of t in t 5.417 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 t) 1.0)) (sqrt (/ 1 t))) in t 5.417 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 t) 1.0)) in t 5.417 * [taylor]: Taking taylor expansion of (+ (/ 1 t) 1.0) in t 5.417 * [taylor]: Taking taylor expansion of (/ 1 t) in t 5.417 * [taylor]: Taking taylor expansion of t in t 5.417 * [taylor]: Taking taylor expansion of 1.0 in t 5.418 * [taylor]: Taking taylor expansion of (sqrt (/ 1 t)) in t 5.418 * [taylor]: Taking taylor expansion of (/ 1 t) in t 5.418 * [taylor]: Taking taylor expansion of t in t 5.434 * [approximate]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in (t) around 0 5.434 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 5.434 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 5.434 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 5.434 * [taylor]: Taking taylor expansion of 1.0 in t 5.434 * [taylor]: Taking taylor expansion of (/ 1 t) in t 5.434 * [taylor]: Taking taylor expansion of t in t 5.435 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 5.435 * [taylor]: Taking taylor expansion of (/ -1 t) in t 5.435 * [taylor]: Taking taylor expansion of -1 in t 5.435 * [taylor]: Taking taylor expansion of t in t 5.437 * [taylor]: Taking taylor expansion of (- (sqrt (- 1.0 (/ 1 t))) (sqrt (/ -1 t))) in t 5.437 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 t))) in t 5.437 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 t)) in t 5.437 * [taylor]: Taking taylor expansion of 1.0 in t 5.437 * [taylor]: Taking taylor expansion of (/ 1 t) in t 5.437 * [taylor]: Taking taylor expansion of t in t 5.439 * [taylor]: Taking taylor expansion of (sqrt (/ -1 t)) in t 5.439 * [taylor]: Taking taylor expansion of (/ -1 t) in t 5.439 * [taylor]: Taking taylor expansion of -1 in t 5.439 * [taylor]: Taking taylor expansion of t in t 5.455 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 5.455 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) in (y) around 0 5.455 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) in y 5.455 * [taylor]: Taking taylor expansion of 1.0 in y 5.455 * [taylor]: Taking taylor expansion of (+ (sqrt (+ y 1.0)) (sqrt y)) in y 5.455 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 5.455 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 5.455 * [taylor]: Taking taylor expansion of y in y 5.455 * [taylor]: Taking taylor expansion of 1.0 in y 5.457 * [taylor]: Taking taylor expansion of (sqrt y) in y 5.457 * [taylor]: Taking taylor expansion of y in y 5.459 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) in y 5.459 * [taylor]: Taking taylor expansion of 1.0 in y 5.459 * [taylor]: Taking taylor expansion of (+ (sqrt (+ y 1.0)) (sqrt y)) in y 5.459 * [taylor]: Taking taylor expansion of (sqrt (+ y 1.0)) in y 5.459 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 5.459 * [taylor]: Taking taylor expansion of y in y 5.459 * [taylor]: Taking taylor expansion of 1.0 in y 5.461 * [taylor]: Taking taylor expansion of (sqrt y) in y 5.461 * [taylor]: Taking taylor expansion of y in y 5.729 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0)))) in (y) around 0 5.729 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0)))) in y 5.729 * [taylor]: Taking taylor expansion of 1.0 in y 5.729 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0))) in y 5.729 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 5.729 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.729 * [taylor]: Taking taylor expansion of y in y 5.731 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 5.731 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 5.731 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.731 * [taylor]: Taking taylor expansion of y in y 5.731 * [taylor]: Taking taylor expansion of 1.0 in y 5.737 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0)))) in y 5.737 * [taylor]: Taking taylor expansion of 1.0 in y 5.737 * [taylor]: Taking taylor expansion of (+ (sqrt (/ 1 y)) (sqrt (+ (/ 1 y) 1.0))) in y 5.737 * [taylor]: Taking taylor expansion of (sqrt (/ 1 y)) in y 5.737 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.737 * [taylor]: Taking taylor expansion of y in y 5.739 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 y) 1.0)) in y 5.739 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 5.739 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.739 * [taylor]: Taking taylor expansion of y in y 5.739 * [taylor]: Taking taylor expansion of 1.0 in y 5.758 * [approximate]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y))))) in (y) around 0 5.758 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y))))) in y 5.758 * [taylor]: Taking taylor expansion of 1.0 in y 5.758 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y)))) in y 5.758 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 5.758 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.759 * [taylor]: Taking taylor expansion of -1 in y 5.759 * [taylor]: Taking taylor expansion of y in y 5.760 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 5.760 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 5.760 * [taylor]: Taking taylor expansion of 1.0 in y 5.760 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.760 * [taylor]: Taking taylor expansion of y in y 5.763 * [taylor]: Taking taylor expansion of (/ 1.0 (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y))))) in y 5.763 * [taylor]: Taking taylor expansion of 1.0 in y 5.763 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 y)) (sqrt (- 1.0 (/ 1 y)))) in y 5.763 * [taylor]: Taking taylor expansion of (sqrt (/ -1 y)) in y 5.763 * [taylor]: Taking taylor expansion of (/ -1 y) in y 5.763 * [taylor]: Taking taylor expansion of -1 in y 5.763 * [taylor]: Taking taylor expansion of y in y 5.764 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 y))) in y 5.764 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 5.764 * [taylor]: Taking taylor expansion of 1.0 in y 5.764 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.764 * [taylor]: Taking taylor expansion of y in y 5.785 * * * [progress]: simplifying candidates 5.789 * [simplify]: Simplifying using # : (fma (* (cbrt (sqrt (+ z 1.0))) (cbrt (sqrt (+ z 1.0)))) (cbrt (sqrt (+ z 1.0))) (- (* (cbrt (sqrt z)) (* (cbrt (sqrt z)) (cbrt (sqrt z)))))) (fma (- (cbrt (sqrt z))) (* (cbrt (sqrt z)) (cbrt (sqrt z))) (* (cbrt (sqrt z)) (* (cbrt (sqrt z)) (cbrt (sqrt z))))) (fma (* (cbrt (sqrt (+ z 1.0))) (cbrt (sqrt (+ z 1.0)))) (cbrt (sqrt (+ z 1.0))) (- (* (sqrt (cbrt z)) (sqrt (* (cbrt z) (cbrt z)))))) (fma (- (sqrt (cbrt z))) (sqrt (* (cbrt z) (cbrt z))) (* (sqrt (cbrt z)) (sqrt (* (cbrt z) (cbrt z))))) (fma (* (cbrt (sqrt (+ z 1.0))) (cbrt (sqrt (+ z 1.0)))) (cbrt (sqrt (+ z 1.0))) (- (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (fma (- (sqrt (sqrt z))) (sqrt (sqrt z)) (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (fma (* (cbrt (sqrt (+ z 1.0))) (cbrt (sqrt (+ z 1.0)))) (cbrt (sqrt (+ z 1.0))) (- (* (sqrt z) (sqrt 1)))) (fma (- (sqrt z)) (sqrt 1) (* (sqrt z) (sqrt 1))) (fma (* (cbrt (sqrt (+ z 1.0))) (cbrt (sqrt (+ z 1.0)))) (cbrt (sqrt (+ z 1.0))) (- (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (fma (- (sqrt (sqrt z))) (sqrt (sqrt z)) (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (fma (* (cbrt (sqrt (+ z 1.0))) (cbrt (sqrt (+ z 1.0)))) (cbrt (sqrt (+ z 1.0))) (- (* (sqrt z) 1))) (fma (- (sqrt z)) 1 (* (sqrt z) 1)) (fma (sqrt (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (sqrt (cbrt (+ z 1.0))) (- (* (cbrt (sqrt z)) (* (cbrt (sqrt z)) (cbrt (sqrt z)))))) (fma (- (cbrt (sqrt z))) (* (cbrt (sqrt z)) (cbrt (sqrt z))) (* (cbrt (sqrt z)) (* (cbrt (sqrt z)) (cbrt (sqrt z))))) (fma (sqrt (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (sqrt (cbrt (+ z 1.0))) (- (* (sqrt (cbrt z)) (sqrt (* (cbrt z) (cbrt z)))))) (fma (- (sqrt (cbrt z))) (sqrt (* (cbrt z) (cbrt z))) (* (sqrt (cbrt z)) (sqrt (* (cbrt z) (cbrt z))))) (fma (sqrt (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (sqrt (cbrt (+ z 1.0))) (- (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (fma (- (sqrt (sqrt z))) (sqrt (sqrt z)) (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (fma (sqrt (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (sqrt (cbrt (+ z 1.0))) (- (* (sqrt z) (sqrt 1)))) (fma (- (sqrt z)) (sqrt 1) (* (sqrt z) (sqrt 1))) (fma (sqrt (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (sqrt (cbrt (+ z 1.0))) (- (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (fma (- (sqrt (sqrt z))) (sqrt (sqrt z)) (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (fma (sqrt (* (cbrt (+ z 1.0)) (cbrt (+ z 1.0)))) (sqrt (cbrt (+ z 1.0))) (- (* (sqrt z) 1))) (fma (- (sqrt z)) 1 (* (sqrt z) 1)) (fma (sqrt (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0))) (- (* (cbrt (sqrt z)) (* (cbrt (sqrt z)) (cbrt (sqrt z)))))) (fma (- (cbrt (sqrt z))) (* (cbrt (sqrt z)) (cbrt (sqrt z))) (* (cbrt (sqrt z)) (* (cbrt (sqrt z)) (cbrt (sqrt z))))) (fma (sqrt (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0))) (- (* (sqrt (cbrt z)) (sqrt (* (cbrt z) (cbrt z)))))) (fma (- (sqrt (cbrt z))) (sqrt (* (cbrt z) (cbrt z))) (* (sqrt (cbrt z)) (sqrt (* (cbrt z) (cbrt z))))) (fma (sqrt (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0))) (- (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (fma (- (sqrt (sqrt z))) (sqrt (sqrt z)) (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (fma (sqrt (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0))) (- (* (sqrt z) (sqrt 1)))) (fma (- (sqrt z)) (sqrt 1) (* (sqrt z) (sqrt 1))) (fma (sqrt (sqrt (+ z 1.0))) (sqrt (sqrt (+ z 1.0))) (- (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (fma (- (sqrt (sqrt z))) (sqrt (sqrt z)) (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (fma (sqrt (sqrt (+ 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(/ (pow y 2) (pow (sqrt 1.0) 3))) (- (* +nan.0 (/ (pow y 2) (pow (sqrt 1.0) 4)))))))))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) 5.802 * * [simplify]: iteration 0 : 864 enodes (cost 2686 ) 5.816 * * [simplify]: iteration 1 : 2984 enodes (cost 1944 ) 5.868 * * [simplify]: iteration 2 : 5002 enodes (cost 1788 ) 5.876 * [simplify]: Simplified to: (- (* (* (cbrt (sqrt (+ z 1.0))) (cbrt (sqrt (+ z 1.0)))) (cbrt (sqrt (+ z 1.0)))) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (* (* (cbrt (sqrt (+ z 1.0))) (cbrt (sqrt (+ z 1.0)))) (cbrt (sqrt (+ z 1.0)))) (* (fabs (cbrt z)) (sqrt (cbrt z)))) (* (sqrt (cbrt z)) (+ (- (fabs (cbrt z))) (fabs (cbrt z)))) (- (* (* (cbrt (sqrt (+ z 1.0))) (cbrt (sqrt (+ z 1.0)))) (cbrt (sqrt (+ z 1.0)))) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (* (* (cbrt (sqrt (+ z 1.0))) (cbrt (sqrt (+ z 1.0)))) (cbrt (sqrt (+ z 1.0)))) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) 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z)))) (* (sqrt (cbrt z)) (+ (- (fabs (cbrt z))) (fabs (cbrt z)))) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (* (fabs (cbrt z)) (sqrt (cbrt z)))) (* (sqrt (cbrt z)) (+ (- (fabs (cbrt z))) (fabs (cbrt z)))) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (* (fabs (cbrt z)) (sqrt (cbrt z)))) (* (sqrt (cbrt z)) (+ (- (fabs (cbrt z))) (fabs (cbrt z)))) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- (sqrt z)) 1 (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (fma (- 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1.0)) (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (- (sqrt (+ z 1.0)) (sqrt z)) (- (sqrt z)) (expm1 (+ x (- 1.0 x))) (log1p (+ x (- 1.0 x))) (exp (+ x (- 1.0 x))) (exp (+ x (- 1.0 x))) (log (+ x (- 1.0 x))) (exp (+ x (- 1.0 x))) (* (cbrt (+ x (- 1.0 x))) (cbrt (+ x (- 1.0 x)))) (cbrt (+ x (- 1.0 x))) (pow (+ x (- 1.0 x)) 3) (sqrt (+ x (- 1.0 x))) (sqrt (+ x (- 1.0 x))) (+ (pow x 3) (pow (- 1.0 x) 3)) (fma x x (* (- 1.0 x) (- (- 1.0 x) x))) (- (* x x) (* (- 1.0 x) (- 1.0 x))) (- x (- 1.0 x)) (+ x (- 1.0 x)) (+ x (- 1.0 x)) (fma x 1 (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- x))) (fma x 1 (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- x))) (fma x 1 (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- x))) (+ x (- 1.0 x)) (+ x (- 1.0 x)) (+ x (- 1.0 x)) (+ x (- 1.0 x)) (+ x (- 1.0 x)) (+ x (- 1.0 x)) (+ x 1.0) (+ x 1.0) (+ x 1.0) (- (* (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0)))) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (* (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0)))) (* (fabs (cbrt t)) (sqrt (cbrt t)))) (* (sqrt (cbrt t)) (+ (- (fabs (cbrt t))) (fabs (cbrt t)))) (- (* (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0)))) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (* (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0)))) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (* (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0)))) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (* (* (cbrt (sqrt (+ t 1.0))) (cbrt (sqrt (+ t 1.0)))) (cbrt (sqrt (+ t 1.0)))) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (fma (sqrt (cbrt (+ t 1.0))) (fabs (cbrt (+ t 1.0))) (- (sqrt t))) (fma (- (sqrt t)) 1 (sqrt t)) (fma (sqrt (cbrt (+ t 1.0))) (fabs (cbrt (+ t 1.0))) (* (sqrt (cbrt t)) (- (fabs (cbrt t))))) (* (sqrt (cbrt t)) (+ (- (fabs (cbrt t))) (fabs (cbrt t)))) (fma (sqrt (cbrt (+ t 1.0))) (fabs (cbrt (+ t 1.0))) (- (sqrt t))) (fma (- (sqrt t)) 1 (sqrt t)) (fma (sqrt (cbrt (+ t 1.0))) 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(sqrt (+ t 1.0)) (* (fabs (cbrt t)) (sqrt (cbrt t)))) (* (sqrt (cbrt t)) (+ (- (fabs (cbrt t))) (fabs (cbrt t)))) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (fma (- (sqrt t)) 1 (sqrt t)) (expm1 (- (sqrt (+ t 1.0)) (sqrt t))) (log1p (- (sqrt (+ t 1.0)) (sqrt t))) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (- (sqrt t)) (exp (- (sqrt (+ t 1.0)) (sqrt t))) (log (- (sqrt (+ t 1.0)) (sqrt t))) (exp (- (sqrt (+ t 1.0)) (sqrt t))) (* (cbrt (- (sqrt (+ t 1.0)) (sqrt t))) (cbrt (- (sqrt (+ t 1.0)) (sqrt t)))) (cbrt (- (sqrt (+ t 1.0)) (sqrt t))) (pow (- (sqrt (+ t 1.0)) (sqrt t)) 3) (sqrt (- (sqrt (+ t 1.0)) (sqrt t))) (sqrt (- (sqrt (+ t 1.0)) (sqrt t))) (- (pow (sqrt (+ t 1.0)) 3) (pow (sqrt t) 3)) (+ (+ (fma (sqrt t) (sqrt (+ t 1.0)) t) t) 1.0) (- (sqrt t)) (+ t (- 1.0 t)) (+ (sqrt (+ t 1.0)) (sqrt t)) (+ (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (+ (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (+ (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (+ (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (sqrt (+ t 1.0))) (sqrt (sqrt t))) (- (sqrt (+ t 1.0)) (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (- (sqrt (+ t 1.0)) (sqrt t)) (- (sqrt t)) (expm1 (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))) (log1p (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))) (log (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))) (log (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))) (exp (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))) (pow (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) 3) (* (cbrt (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))) (cbrt (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))))) (cbrt (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))) (pow (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) 3) (sqrt (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))) (sqrt (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y)))) (- 1.0) (- (+ (sqrt (+ y 1.0)) (sqrt y))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))) (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (/ (cbrt 1.0) (cbrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (/ (cbrt 1.0) (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (/ (sqrt 1.0) (* (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))) (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (/ (sqrt 1.0) (cbrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (/ (sqrt 1.0) (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (sqrt 1.0) (/ (sqrt 1.0) (+ (sqrt (+ y 1.0)) (sqrt y))) (/ 1 (* (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))) (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (/ 1.0 (cbrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (/ 1 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) (/ 1.0 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) 1 (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) 1 (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) 1 (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) 1 (/ 1.0 (+ (sqrt (+ y 1.0)) (sqrt y))) (/ 1 (+ (sqrt (+ y 1.0)) (sqrt y))) (/ (+ (sqrt (+ y 1.0)) (sqrt y)) 1.0) (/ 1.0 (* (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))) (cbrt (+ (sqrt (+ y 1.0)) (sqrt y))))) (/ 1.0 (sqrt (+ (sqrt (+ y 1.0)) (sqrt y)))) 1.0 1.0 1.0 1.0 (/ (+ (sqrt (+ y 1.0)) (sqrt y)) (cbrt 1.0)) (/ (+ (sqrt (+ y 1.0)) (sqrt y)) (sqrt 1.0)) (/ (+ (sqrt (+ y 1.0)) (sqrt y)) 1.0) (/ 1.0 (+ (pow (sqrt (+ y 1.0)) 3) (pow (sqrt y) 3))) (/ 1.0 (* (+ y (- 1.0 y)) 1)) (+ (- (fma 1/2 (/ z (sqrt 1.0)) (sqrt 1.0)) (* 1/8 (/ (pow z 2) (pow (sqrt 1.0) 3)))) (* +nan.0 (- (pow z 2) z))) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) (+ (fma +nan.0 (/ 1 (pow z 2)) (- +nan.0)) (/ (- +nan.0) z)) 1.0 1.0 1.0 (+ (- (fma 1/2 (/ t (sqrt 1.0)) (sqrt 1.0)) (fma t +nan.0 (* 1/8 (/ (pow t 2) (pow (sqrt 1.0) 3))))) (* +nan.0 (pow t 2))) (+ (fma +nan.0 (/ 1 (pow t 2)) (- +nan.0)) (/ (- +nan.0) t)) (+ (fma +nan.0 (/ 1 (pow t 2)) (- +nan.0)) (/ (- +nan.0) t)) (+ (- (fma 1.0 (/ 1 (sqrt 1.0)) (* 0.375 (/ (pow y 2) (pow (sqrt 1.0) 5)))) (fma +nan.0 (/ y (pow (sqrt 1.0) 2)) (* 0.5 (/ y (pow (sqrt 1.0) 3))))) (+ (- (* +nan.0 (/ (pow y 2) (pow (sqrt 1.0) 2))) (* +nan.0 (/ (pow y 2) (pow (sqrt 1.0) 3)))) (* +nan.0 (* (/ y 1.0) (/ y 1.0))))) (+ (fma +nan.0 (/ 1 (pow y 2)) (- +nan.0)) (/ (- +nan.0) y)) (+ (fma +nan.0 (/ 1 (pow y 2)) (- +nan.0)) (/ (- +nan.0) y)) 5.878 * * * [progress]: adding candidates to table 6.632 * [progress]: [Phase 3 of 3] Extracting. 6.632 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 6.644 * * * [regime-changes]: Trying 8 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)) t z y x) 6.644 * * * * [regimes]: Trying to branch on (- (sqrt (+ t 1.0)) (sqrt t)) from (# # # # # # # # #) 6.710 * * * * [regimes]: Trying to branch on (- (sqrt (+ z 1.0)) (sqrt z)) from (# # # # # # # # #) 6.778 * * * * [regimes]: Trying to branch on (- (sqrt (+ y 1.0)) (sqrt y)) from (# # # # # # # # #) 6.843 * * * * [regimes]: Trying to branch on (- (sqrt (+ x 1.0)) (sqrt x)) from (# # # # # # # # #) 6.909 * * * * [regimes]: Trying to branch on t from (# # # # # # # # #) 6.974 * * * * [regimes]: Trying to branch on z from (# # # # # # # # #) 7.038 * * * * [regimes]: Trying to branch on y from (# # # # # # # # #) 7.102 * * * * [regimes]: Trying to branch on x from (# # # # # # # # #) 7.168 * * * [regime]: Found split indices: #