10.443 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (+ x (/ (fabs (- y x)) 2.0)) 0.015 * * [simplify]: iteration 0 : 7 enodes (cost 8 ) 0.016 * * [simplify]: iteration 1 : 10 enodes (cost 8 ) 0.017 * * [simplify]: iteration 2 : 11 enodes (cost 8 ) 0.018 * * [simplify]: iteration done : 11 enodes (cost 8 ) 0.018 * [simplify]: Simplified to: (+ x (/ (fabs (- y x)) 2.0)) 0.019 * * [progress]: iteration 1 / 4 0.019 * * * [progress]: picking best candidate 0.020 * * * * [pick]: Picked # 0.020 * * * [progress]: localizing error 0.026 * * * [progress]: generating rewritten candidates 0.026 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.033 * * * [progress]: generating series expansions 0.033 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.033 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 0.033 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 0.033 * [taylor]: Taking taylor expansion of 0.5 in y 0.033 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 0.033 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 0.033 * [taylor]: Taking taylor expansion of x in x 0.033 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 0.033 * [taylor]: Taking taylor expansion of 0.5 in x 0.033 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 0.034 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 0.034 * [taylor]: Taking taylor expansion of 0.5 in x 0.034 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 0.034 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 0.034 * [taylor]: Taking taylor expansion of 0.5 in y 0.034 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 0.035 * [taylor]: Taking taylor expansion of 1 in y 0.036 * [taylor]: Taking taylor expansion of 0 in y 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 0.038 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 0.038 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 0.038 * [taylor]: Taking taylor expansion of 0.5 in y 0.038 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.038 * [taylor]: Taking taylor expansion of x in y 0.038 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.038 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 0.038 * [taylor]: Taking taylor expansion of 0.5 in x 0.038 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 0.038 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 0.038 * [taylor]: Taking taylor expansion of 0.5 in x 0.038 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of 1 in y 0.040 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 0.040 * [taylor]: Taking taylor expansion of 0.5 in y 0.040 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [taylor]: Taking taylor expansion of 0 in y 0.043 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 0.043 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 0.043 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 0.043 * [taylor]: Taking taylor expansion of 0.5 in y 0.043 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.043 * [taylor]: Taking taylor expansion of x in y 0.043 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 0.043 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 0.043 * [taylor]: Taking taylor expansion of 0.5 in x 0.043 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 0.044 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 0.044 * [taylor]: Taking taylor expansion of 0.5 in x 0.044 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of -1 in y 0.045 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 0.045 * [taylor]: Taking taylor expansion of 0.5 in y 0.045 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.049 * [taylor]: Taking taylor expansion of 0 in y 0.049 * * * [progress]: simplifying candidates 0.049 * [simplify]: Simplifying using # : (expm1 (+ x (/ (fabs (- y x)) 2.0))) (log1p (+ x (/ (fabs (- y x)) 2.0))) (* (exp x) (exp (/ (fabs (- y x)) 2.0))) (log (+ x (/ (fabs (- y x)) 2.0))) (exp (+ x (/ (fabs (- y x)) 2.0))) (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (+ x (/ (fabs (- y x)) 2.0))) (* (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0)))) (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0)) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) 0.051 * * [simplify]: iteration 0 : 33 enodes (cost 213 ) 0.059 * * [simplify]: iteration 1 : 89 enodes (cost 204 ) 0.073 * * [simplify]: iteration 2 : 199 enodes (cost 185 ) 0.110 * * [simplify]: iteration 3 : 478 enodes (cost 185 ) 0.208 * * [simplify]: iteration 4 : 1245 enodes (cost 185 ) 0.563 * * [simplify]: iteration 5 : 3767 enodes (cost 185 ) 1.625 * * [simplify]: iteration done : 5000 enodes (cost 185 ) 1.625 * [simplify]: Simplified to: (expm1 (+ x (/ (fabs (- y x)) 2.0))) (log1p (+ x (/ (fabs (- y x)) 2.0))) (exp (+ x (/ (fabs (- y x)) 2.0))) (log (+ x (/ (fabs (- y x)) 2.0))) (exp (+ x (/ (fabs (- y x)) 2.0))) (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (+ x (/ (fabs (- y x)) 2.0))) (pow (+ x (/ (fabs (- y x)) 2.0)) 3) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)) (fma x x (* (/ (fabs (- y x)) 2.0) (- (/ (fabs (- y x)) 2.0) x))) (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))) (- x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0)) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) 1.625 * * * [progress]: adding candidates to table 1.668 * * [progress]: iteration 2 / 4 1.668 * * * [progress]: picking best candidate 1.674 * * * * [pick]: Picked # 1.674 * * * [progress]: localizing error 1.682 * * * [progress]: generating rewritten candidates 1.682 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.735 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.747 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.759 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.772 * * * [progress]: generating series expansions 1.772 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.772 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 1.772 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 1.772 * [taylor]: Taking taylor expansion of x in y 1.772 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.772 * [taylor]: Taking taylor expansion of 0.5 in y 1.772 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.772 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.772 * [taylor]: Taking taylor expansion of x in x 1.772 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.772 * [taylor]: Taking taylor expansion of 0.5 in x 1.772 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.772 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.772 * [taylor]: Taking taylor expansion of x in x 1.772 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.772 * [taylor]: Taking taylor expansion of 0.5 in x 1.772 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.773 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.773 * [taylor]: Taking taylor expansion of 0.5 in y 1.773 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.774 * [taylor]: Taking taylor expansion of 1 in y 1.775 * [taylor]: Taking taylor expansion of 0 in y 1.776 * [taylor]: Taking taylor expansion of 0 in y 1.777 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 1.777 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 1.777 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.777 * [taylor]: Taking taylor expansion of 0.5 in y 1.777 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.777 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.777 * [taylor]: Taking taylor expansion of x in y 1.777 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.777 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.777 * [taylor]: Taking taylor expansion of 0.5 in x 1.777 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.777 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.777 * [taylor]: Taking taylor expansion of x in x 1.777 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.777 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.777 * [taylor]: Taking taylor expansion of 0.5 in x 1.777 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.778 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.778 * [taylor]: Taking taylor expansion of x in x 1.778 * [taylor]: Taking taylor expansion of 1 in y 1.779 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.779 * [taylor]: Taking taylor expansion of 0.5 in y 1.779 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.780 * [taylor]: Taking taylor expansion of 0 in y 1.782 * [taylor]: Taking taylor expansion of 0 in y 1.782 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 1.782 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 1.782 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.782 * [taylor]: Taking taylor expansion of 0.5 in y 1.782 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.782 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.782 * [taylor]: Taking taylor expansion of x in y 1.782 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.782 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.782 * [taylor]: Taking taylor expansion of 0.5 in x 1.782 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.783 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.783 * [taylor]: Taking taylor expansion of x in x 1.783 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.783 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.783 * [taylor]: Taking taylor expansion of 0.5 in x 1.783 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.783 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.783 * [taylor]: Taking taylor expansion of x in x 1.784 * [taylor]: Taking taylor expansion of -1 in y 1.785 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.785 * [taylor]: Taking taylor expansion of 0.5 in y 1.785 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.786 * [taylor]: Taking taylor expansion of 0 in y 1.788 * [taylor]: Taking taylor expansion of 0 in y 1.788 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.788 * [approximate]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in (x y) around 0 1.788 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in y 1.788 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 1.788 * [taylor]: Taking taylor expansion of x in y 1.788 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.788 * [taylor]: Taking taylor expansion of 0.5 in y 1.789 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.789 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 1.789 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.789 * [taylor]: Taking taylor expansion of x in x 1.789 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.789 * [taylor]: Taking taylor expansion of 0.5 in x 1.789 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.790 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 1.790 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.790 * [taylor]: Taking taylor expansion of x in x 1.790 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.790 * [taylor]: Taking taylor expansion of 0.5 in x 1.790 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.791 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- y x))) (sqrt 0.5)) in y 1.791 * [taylor]: Taking taylor expansion of (sqrt (fabs (- y x))) in y 1.791 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.791 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.791 * [taylor]: Taking taylor expansion of 0.5 in y 1.793 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) in y 1.793 * [taylor]: Taking taylor expansion of 1/2 in y 1.793 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))) in y 1.793 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (- y x)))) in y 1.793 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- y x))) in y 1.793 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.793 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 0.5)) in y 1.793 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.793 * [taylor]: Taking taylor expansion of 0.5 in y 1.799 * [taylor]: Taking taylor expansion of (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) in y 1.799 * [taylor]: Taking taylor expansion of -1/8 in y 1.799 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3))) in y 1.799 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (fabs (- y x)) 3))) in y 1.799 * [taylor]: Taking taylor expansion of (/ 1 (pow (fabs (- y x)) 3)) in y 1.799 * [taylor]: Taking taylor expansion of (pow (fabs (- y x)) 3) in y 1.799 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.800 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 0.5) 3)) in y 1.800 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in y 1.800 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.800 * [taylor]: Taking taylor expansion of 0.5 in y 1.810 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in (x y) around 0 1.810 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in y 1.810 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 1.810 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.810 * [taylor]: Taking taylor expansion of 0.5 in y 1.810 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.810 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.810 * [taylor]: Taking taylor expansion of x in y 1.811 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 1.811 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.811 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.811 * [taylor]: Taking taylor expansion of 0.5 in x 1.811 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.811 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.811 * [taylor]: Taking taylor expansion of x in x 1.813 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 1.813 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.813 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.813 * [taylor]: Taking taylor expansion of 0.5 in x 1.813 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.813 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.813 * [taylor]: Taking taylor expansion of x in x 1.815 * [taylor]: Taking taylor expansion of 0 in y 1.815 * [taylor]: Taking taylor expansion of +nan.0 in y 1.816 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) in y 1.816 * [taylor]: Taking taylor expansion of +nan.0 in y 1.816 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0) in y 1.816 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.816 * [taylor]: Taking taylor expansion of 0.5 in y 1.816 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.816 * [taylor]: Taking taylor expansion of +nan.0 in y 1.819 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0))) in y 1.819 * [taylor]: Taking taylor expansion of +nan.0 in y 1.819 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0)) in y 1.819 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.819 * [taylor]: Taking taylor expansion of +nan.0 in y 1.819 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.819 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.819 * [taylor]: Taking taylor expansion of +nan.0 in y 1.821 * [approximate]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in (x y) around 0 1.821 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in y 1.821 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 1.821 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.821 * [taylor]: Taking taylor expansion of 0.5 in y 1.821 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.821 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.821 * [taylor]: Taking taylor expansion of x in y 1.823 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 1.823 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.823 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.823 * [taylor]: Taking taylor expansion of 0.5 in x 1.823 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.823 * [taylor]: Taking taylor expansion of x in x 1.824 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 1.824 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.824 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.824 * [taylor]: Taking taylor expansion of 0.5 in x 1.825 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.825 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.825 * [taylor]: Taking taylor expansion of x in x 1.826 * [taylor]: Taking taylor expansion of 0 in y 1.826 * [taylor]: Taking taylor expansion of +nan.0 in y 1.828 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) in y 1.828 * [taylor]: Taking taylor expansion of +nan.0 in y 1.828 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0) in y 1.828 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.828 * [taylor]: Taking taylor expansion of 0.5 in y 1.828 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.828 * [taylor]: Taking taylor expansion of +nan.0 in y 1.831 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0))) in y 1.831 * [taylor]: Taking taylor expansion of +nan.0 in y 1.831 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0)) in y 1.831 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.831 * [taylor]: Taking taylor expansion of +nan.0 in y 1.831 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.831 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.831 * [taylor]: Taking taylor expansion of +nan.0 in y 1.833 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.833 * [approximate]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in (x y) around 0 1.833 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in y 1.833 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 1.833 * [taylor]: Taking taylor expansion of x in y 1.833 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.833 * [taylor]: Taking taylor expansion of 0.5 in y 1.833 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.834 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 1.834 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.834 * [taylor]: Taking taylor expansion of x in x 1.834 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.834 * [taylor]: Taking taylor expansion of 0.5 in x 1.834 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.835 * [taylor]: Taking taylor expansion of (sqrt (+ x (* 0.5 (fabs (- y x))))) in x 1.835 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.835 * [taylor]: Taking taylor expansion of x in x 1.835 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.835 * [taylor]: Taking taylor expansion of 0.5 in x 1.835 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.836 * [taylor]: Taking taylor expansion of (* (sqrt (fabs (- y x))) (sqrt 0.5)) in y 1.836 * [taylor]: Taking taylor expansion of (sqrt (fabs (- y x))) in y 1.836 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.836 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.836 * [taylor]: Taking taylor expansion of 0.5 in y 1.838 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5)))) in y 1.838 * [taylor]: Taking taylor expansion of 1/2 in y 1.838 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (fabs (- y x)))) (/ 1 (sqrt 0.5))) in y 1.838 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (fabs (- y x)))) in y 1.838 * [taylor]: Taking taylor expansion of (/ 1 (fabs (- y x))) in y 1.838 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.838 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 0.5)) in y 1.838 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.838 * [taylor]: Taking taylor expansion of 0.5 in y 1.844 * [taylor]: Taking taylor expansion of (* -1/8 (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3)))) in y 1.844 * [taylor]: Taking taylor expansion of -1/8 in y 1.844 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (fabs (- y x)) 3))) (/ 1 (pow (sqrt 0.5) 3))) in y 1.844 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (fabs (- y x)) 3))) in y 1.844 * [taylor]: Taking taylor expansion of (/ 1 (pow (fabs (- y x)) 3)) in y 1.844 * [taylor]: Taking taylor expansion of (pow (fabs (- y x)) 3) in y 1.844 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.845 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt 0.5) 3)) in y 1.845 * [taylor]: Taking taylor expansion of (pow (sqrt 0.5) 3) in y 1.845 * [taylor]: Taking taylor expansion of (sqrt 0.5) in y 1.845 * [taylor]: Taking taylor expansion of 0.5 in y 1.857 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in (x y) around 0 1.858 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in y 1.858 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 1.858 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.858 * [taylor]: Taking taylor expansion of 0.5 in y 1.858 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.858 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.858 * [taylor]: Taking taylor expansion of x in y 1.859 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 1.859 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.859 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.859 * [taylor]: Taking taylor expansion of 0.5 in x 1.859 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.859 * [taylor]: Taking taylor expansion of x in x 1.861 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x))) in x 1.861 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.861 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.861 * [taylor]: Taking taylor expansion of 0.5 in x 1.861 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.861 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.861 * [taylor]: Taking taylor expansion of x in x 1.862 * [taylor]: Taking taylor expansion of 0 in y 1.862 * [taylor]: Taking taylor expansion of +nan.0 in y 1.864 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0)) in y 1.864 * [taylor]: Taking taylor expansion of +nan.0 in y 1.864 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0) in y 1.864 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.864 * [taylor]: Taking taylor expansion of 0.5 in y 1.864 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.864 * [taylor]: Taking taylor expansion of +nan.0 in y 1.866 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0))) in y 1.866 * [taylor]: Taking taylor expansion of +nan.0 in y 1.866 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) (- +nan.0)) in y 1.866 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.866 * [taylor]: Taking taylor expansion of +nan.0 in y 1.866 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.866 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.867 * [taylor]: Taking taylor expansion of +nan.0 in y 1.869 * [approximate]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in (x y) around 0 1.869 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in y 1.869 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 1.869 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.869 * [taylor]: Taking taylor expansion of 0.5 in y 1.869 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.869 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.869 * [taylor]: Taking taylor expansion of x in y 1.870 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 1.870 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.870 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.870 * [taylor]: Taking taylor expansion of 0.5 in x 1.871 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.871 * [taylor]: Taking taylor expansion of x in x 1.872 * [taylor]: Taking taylor expansion of (sqrt (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x))) in x 1.872 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.872 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.872 * [taylor]: Taking taylor expansion of 0.5 in x 1.872 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.872 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.872 * [taylor]: Taking taylor expansion of x in x 1.874 * [taylor]: Taking taylor expansion of 0 in y 1.874 * [taylor]: Taking taylor expansion of +nan.0 in y 1.876 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0)) in y 1.876 * [taylor]: Taking taylor expansion of +nan.0 in y 1.876 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0) in y 1.876 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.876 * [taylor]: Taking taylor expansion of 0.5 in y 1.876 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.876 * [taylor]: Taking taylor expansion of +nan.0 in y 1.879 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0))) in y 1.879 * [taylor]: Taking taylor expansion of +nan.0 in y 1.879 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) (- +nan.0)) in y 1.879 * [taylor]: Taking taylor expansion of (* +nan.0 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.879 * [taylor]: Taking taylor expansion of +nan.0 in y 1.879 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.879 * [taylor]: Taking taylor expansion of (- +nan.0) in y 1.879 * [taylor]: Taking taylor expansion of +nan.0 in y 1.881 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.881 * [approximate]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in (x y) around 0 1.881 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in y 1.881 * [taylor]: Taking taylor expansion of x in y 1.881 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.881 * [taylor]: Taking taylor expansion of 0.5 in y 1.881 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.882 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.882 * [taylor]: Taking taylor expansion of x in x 1.882 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.882 * [taylor]: Taking taylor expansion of 0.5 in x 1.882 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.882 * [taylor]: Taking taylor expansion of (+ x (* 0.5 (fabs (- y x)))) in x 1.882 * [taylor]: Taking taylor expansion of x in x 1.882 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 1.882 * [taylor]: Taking taylor expansion of 0.5 in x 1.882 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 1.882 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 1.882 * [taylor]: Taking taylor expansion of 0.5 in y 1.882 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 1.883 * [taylor]: Taking taylor expansion of 1 in y 1.884 * [taylor]: Taking taylor expansion of 0 in y 1.885 * [taylor]: Taking taylor expansion of 0 in y 1.886 * [approximate]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in (x y) around 0 1.886 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in y 1.886 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.886 * [taylor]: Taking taylor expansion of 0.5 in y 1.886 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.886 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.886 * [taylor]: Taking taylor expansion of x in y 1.886 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.886 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.886 * [taylor]: Taking taylor expansion of 0.5 in x 1.886 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.886 * [taylor]: Taking taylor expansion of (+ (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) (/ 1 x)) in x 1.886 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 1.886 * [taylor]: Taking taylor expansion of 0.5 in x 1.886 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 1.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.886 * [taylor]: Taking taylor expansion of x in x 1.887 * [taylor]: Taking taylor expansion of 1 in y 1.888 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 1.888 * [taylor]: Taking taylor expansion of 0.5 in y 1.888 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 1.889 * [taylor]: Taking taylor expansion of 0 in y 1.891 * [taylor]: Taking taylor expansion of 0 in y 1.891 * [approximate]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in (x y) around 0 1.891 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in y 1.891 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.891 * [taylor]: Taking taylor expansion of 0.5 in y 1.891 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.891 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.891 * [taylor]: Taking taylor expansion of x in y 1.891 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.891 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.891 * [taylor]: Taking taylor expansion of 0.5 in x 1.891 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.891 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.891 * [taylor]: Taking taylor expansion of x in x 1.892 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) (/ 1 x)) in x 1.892 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 1.892 * [taylor]: Taking taylor expansion of 0.5 in x 1.892 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 1.892 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.892 * [taylor]: Taking taylor expansion of x in x 1.892 * [taylor]: Taking taylor expansion of -1 in y 1.893 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 1.893 * [taylor]: Taking taylor expansion of 0.5 in y 1.893 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 1.895 * [taylor]: Taking taylor expansion of 0 in y 1.897 * [taylor]: Taking taylor expansion of 0 in y 1.897 * * * [progress]: simplifying candidates 1.899 * [simplify]: Simplifying using # : (expm1 (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (log1p (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (+ 1 1) (+ (log (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (log (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (log (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (exp (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (cbrt (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (cbrt (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (cbrt (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (* (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (+ x (/ (fabs (- y x)) 2.0)) (+ x (/ (fabs (- y x)) 2.0))) (sqrt (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3))) (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)))) (* (sqrt (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0))))) (sqrt (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0)))))) (* (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3))) (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))))) (* (sqrt (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0))))) (sqrt (- x (/ (fabs (- y x)) 2.0)))) (* (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) (sqrt (+ (pow x 3) (pow (/ (fabs (- y x)) 2.0) 3)))) (* (sqrt (- x (/ (fabs (- y x)) 2.0))) (sqrt (+ (* x x) (- (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)) (* x (/ (fabs (- y x)) 2.0)))))) (* (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0)))) (sqrt (- (* x x) (* (/ (fabs (- y x)) 2.0) (/ (fabs (- y x)) 2.0))))) (* (sqrt (- x (/ (fabs (- y x)) 2.0))) (sqrt (- x (/ (fabs (- y x)) 2.0)))) (* (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))))) (* (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (sqrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))) (* (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (* (sqrt (sqrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (sqrt (+ x (/ 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(pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (fabs (- y x)) x)) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* 1/2 (* (/ x (sqrt 0.5)) (sqrt (/ 1 (fabs (- y x)))))) (* (sqrt (fabs (- y x))) (sqrt 0.5))) (* 1/8 (* (/ (pow x 2) (pow (sqrt 0.5) 3)) (sqrt (/ 1 (pow (fabs (- y x)) 3)))))) (- (+ (* +nan.0 (/ (fabs (- y x)) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (fabs (- y x)) x)) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (- (+ (* +nan.0 (/ (fabs (- y x)) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (fabs (- y x)) x)) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))))))) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) (+ x (* 0.5 (fabs (- y x)))) 1.906 * * [simplify]: iteration 0 : 135 enodes (cost 2667 ) 1.934 * * [simplify]: iteration 1 : 287 enodes (cost 1913 ) 2.004 * * [simplify]: iteration 2 : 1030 enodes (cost 1765 ) 2.397 * * [simplify]: iteration done : 5001 enodes (cost 1753 ) 2.398 * [simplify]: Simplified to: 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x)) 2.0)) (+ (/ (fabs (- y x)) 2.0) x) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) (fma (* 1/2 (/ x (sqrt 0.5))) (sqrt (/ 1 (fabs (- y x)))) (fma (sqrt 0.5) (sqrt (fabs (- y x))) (* -1/8 (* (/ (pow x 2) (pow (sqrt 0.5) 3)) (sqrt (/ 1 (pow (fabs (- y x)) 3))))))) (- (+ (fma +nan.0 (/ (fabs (- y x)) x) (- +nan.0 (/ +nan.0 x))) (* (/ +nan.0 x) (- (/ (fabs (- y x)) x) (/ 1 x))))) (- (+ (fma +nan.0 (/ (fabs (- y x)) x) (- +nan.0 (/ +nan.0 x))) (* (/ +nan.0 x) (- (/ (fabs (- y x)) x) (/ 1 x))))) (fma (* 1/2 (/ x (sqrt 0.5))) (sqrt (/ 1 (fabs (- y x)))) (fma (sqrt 0.5) (sqrt (fabs (- y x))) (* -1/8 (* (/ (pow x 2) (pow (sqrt 0.5) 3)) (sqrt (/ 1 (pow (fabs (- y x)) 3))))))) (- (+ (fma +nan.0 (/ (fabs (- y x)) x) (- +nan.0 (/ +nan.0 x))) (* (/ +nan.0 x) (- (/ (fabs (- y x)) x) (/ 1 x))))) (- (+ (fma +nan.0 (/ (fabs (- y x)) x) (- +nan.0 (/ +nan.0 x))) (* (/ +nan.0 x) (- (/ (fabs (- y x)) x) (/ 1 x))))) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) (fma (fabs (- y x)) 0.5 x) 2.399 * * * [progress]: adding candidates to table 2.669 * * [progress]: iteration 3 / 4 2.669 * * * [progress]: picking best candidate 2.674 * * * * [pick]: Picked # 2.674 * * * [progress]: localizing error 2.688 * * * [progress]: generating rewritten candidates 2.688 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 2.689 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 2.689 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 2.690 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 2.698 * * * [progress]: generating series expansions 2.698 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 2.698 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.698 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.698 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.698 * [taylor]: Taking taylor expansion of 1/3 in x 2.698 * [taylor]: Taking taylor expansion of (log x) in x 2.698 * [taylor]: Taking taylor expansion of x in x 2.699 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.699 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.699 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.699 * [taylor]: Taking taylor expansion of 1/3 in x 2.699 * [taylor]: Taking taylor expansion of (log x) in x 2.699 * [taylor]: Taking taylor expansion of x in x 2.750 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.750 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.750 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.750 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.750 * [taylor]: Taking taylor expansion of 1/3 in x 2.750 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.750 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.750 * [taylor]: Taking taylor expansion of x in x 2.751 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.751 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.751 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.751 * [taylor]: Taking taylor expansion of 1/3 in x 2.751 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.751 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.751 * [taylor]: Taking taylor expansion of x in x 2.802 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.802 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.802 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.802 * [taylor]: Taking taylor expansion of -1 in x 2.803 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.803 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.803 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.803 * [taylor]: Taking taylor expansion of 1/3 in x 2.803 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.803 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.803 * [taylor]: Taking taylor expansion of x in x 2.804 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.804 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.804 * [taylor]: Taking taylor expansion of -1 in x 2.804 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.804 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.804 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.804 * [taylor]: Taking taylor expansion of 1/3 in x 2.804 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.804 * [taylor]: Taking taylor expansion of x in x 2.869 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 2.869 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 2.869 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.869 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.869 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.869 * [taylor]: Taking taylor expansion of 1/3 in x 2.869 * [taylor]: Taking taylor expansion of (log x) in x 2.869 * [taylor]: Taking taylor expansion of x in x 2.870 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 2.870 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 2.870 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 2.870 * [taylor]: Taking taylor expansion of 1/3 in x 2.870 * [taylor]: Taking taylor expansion of (log x) in x 2.870 * [taylor]: Taking taylor expansion of x in x 2.920 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 2.920 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.920 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.920 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.920 * [taylor]: Taking taylor expansion of 1/3 in x 2.920 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.920 * [taylor]: Taking taylor expansion of x in x 2.921 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.921 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.921 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.921 * [taylor]: Taking taylor expansion of 1/3 in x 2.921 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.921 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.921 * [taylor]: Taking taylor expansion of x in x 2.973 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 2.973 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.973 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.973 * [taylor]: Taking taylor expansion of -1 in x 2.974 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.974 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.974 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.974 * [taylor]: Taking taylor expansion of 1/3 in x 2.974 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.974 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.974 * [taylor]: Taking taylor expansion of x in x 2.975 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 2.975 * [taylor]: Taking taylor expansion of (cbrt -1) in x 2.975 * [taylor]: Taking taylor expansion of -1 in x 2.976 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 2.976 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 2.976 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 2.976 * [taylor]: Taking taylor expansion of 1/3 in x 2.976 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 2.976 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.976 * [taylor]: Taking taylor expansion of x in x 3.040 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 3.040 * [approximate]: Taking taylor expansion of (pow x 1/3) in (x) around 0 3.040 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 3.040 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 3.040 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 3.040 * [taylor]: Taking taylor expansion of 1/3 in x 3.040 * [taylor]: Taking taylor expansion of (log x) in x 3.040 * [taylor]: Taking taylor expansion of x in x 3.040 * [taylor]: Taking taylor expansion of (pow x 1/3) in x 3.040 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log x))) in x 3.040 * [taylor]: Taking taylor expansion of (* 1/3 (log x)) in x 3.040 * [taylor]: Taking taylor expansion of 1/3 in x 3.040 * [taylor]: Taking taylor expansion of (log x) in x 3.040 * [taylor]: Taking taylor expansion of x in x 3.088 * [approximate]: Taking taylor expansion of (pow (/ 1 x) 1/3) in (x) around 0 3.088 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.088 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.088 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.088 * [taylor]: Taking taylor expansion of 1/3 in x 3.088 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.088 * [taylor]: Taking taylor expansion of x in x 3.089 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.089 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.089 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.089 * [taylor]: Taking taylor expansion of 1/3 in x 3.089 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.089 * [taylor]: Taking taylor expansion of x in x 3.146 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in (x) around 0 3.146 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 3.146 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.146 * [taylor]: Taking taylor expansion of -1 in x 3.147 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.147 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.147 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.147 * [taylor]: Taking taylor expansion of 1/3 in x 3.147 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.147 * [taylor]: Taking taylor expansion of x in x 3.148 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 x) 1/3)) in x 3.148 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.148 * [taylor]: Taking taylor expansion of -1 in x 3.148 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 1/3) in x 3.148 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 x)))) in x 3.148 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 x))) in x 3.148 * [taylor]: Taking taylor expansion of 1/3 in x 3.148 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 3.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.149 * [taylor]: Taking taylor expansion of x in x 3.215 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 3.215 * [approximate]: Taking taylor expansion of (pow (pow x 2) 1/3) in (x) around 0 3.215 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 3.216 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 3.216 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 3.216 * [taylor]: Taking taylor expansion of 1/3 in x 3.216 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 3.216 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.216 * [taylor]: Taking taylor expansion of x in x 3.216 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x 3.216 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x 3.216 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x 3.216 * [taylor]: Taking taylor expansion of 1/3 in x 3.216 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x 3.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.217 * [taylor]: Taking taylor expansion of x in x 3.273 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in (x) around 0 3.273 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 3.273 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 3.273 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 3.273 * [taylor]: Taking taylor expansion of 1/3 in x 3.273 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 3.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.274 * [taylor]: Taking taylor expansion of x in x 3.275 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 3.275 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 3.275 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 3.275 * [taylor]: Taking taylor expansion of 1/3 in x 3.275 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 3.275 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.275 * [taylor]: Taking taylor expansion of x in x 3.335 * [approximate]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in (x) around 0 3.335 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 3.335 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 3.335 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.336 * [taylor]: Taking taylor expansion of -1 in x 3.336 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 3.336 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 3.336 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 3.336 * [taylor]: Taking taylor expansion of 1/3 in x 3.336 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 3.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.336 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.336 * [taylor]: Taking taylor expansion of x in x 3.337 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 2) (pow (/ 1 (pow x 2)) 1/3)) in x 3.337 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in x 3.337 * [taylor]: Taking taylor expansion of (cbrt -1) in x 3.338 * [taylor]: Taking taylor expansion of -1 in x 3.338 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in x 3.338 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in x 3.338 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in x 3.338 * [taylor]: Taking taylor expansion of 1/3 in x 3.338 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in x 3.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.338 * [taylor]: Taking taylor expansion of x in x 3.417 * * * [progress]: simplifying candidates 3.418 * [simplify]: Simplifying using # : (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (* (cbrt x) (cbrt x))) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) (cbrt 1) (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) (* (* (cbrt x) (cbrt x)) (cbrt x)) (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (* (cbrt x) (cbrt x))) (log1p (* (cbrt x) (cbrt x))) (+ 1/3 1/3) (+ 1 1) (* x x) (* (cbrt x) (cbrt x)) (+ 1 1) (+ (log (cbrt x)) (log (cbrt x))) (log (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))) (* x x) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (cbrt (* (cbrt x) (cbrt x))) (* (* (* (cbrt x) (cbrt x)) (* (cbrt x) (cbrt x))) (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x)) (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 1 1) (* (cbrt x) (cbrt x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (cbrt (sqrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* (sqrt (cbrt x)) (sqrt (cbrt x))) (* 2 1/3) (* 2 1) (* (cbrt x) (cbrt (* (cbrt x) (cbrt x)))) (* (cbrt x) (cbrt (sqrt x))) (* (cbrt x) (cbrt 1)) (* (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (* (cbrt x) (sqrt (cbrt x))) (* (cbrt x) 1) (* (cbrt (cbrt x)) (cbrt x)) (* (cbrt (sqrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (* (cbrt (cbrt x)) (cbrt x)) (* (sqrt (cbrt x)) (cbrt x)) (* (cbrt x) (cbrt x)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 1/3) (pow (/ 1 x) -1/3) (* (pow (* -1 x) 1/3) (cbrt -1)) (pow x 2/3) (pow (/ 1 x) -2/3) (* (pow (cbrt -1) 2) (pow (pow x 2) 1/3)) 3.420 * * [simplify]: iteration 0 : 65 enodes (cost 554 ) 3.433 * * [simplify]: iteration 1 : 122 enodes (cost 495 ) 3.475 * * [simplify]: iteration 2 : 449 enodes (cost 423 ) 3.711 * * [simplify]: iteration 3 : 1993 enodes (cost 405 ) 4.948 * * [simplify]: iteration done : 5001 enodes (cost 405 ) 4.948 * [simplify]: Simplified to: (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (pow x 2/3)) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (pow x 2/3)) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (cbrt x)) (log1p (cbrt x)) (log (cbrt x)) (exp (cbrt x)) (cbrt (pow x 2/3)) (cbrt (cbrt x)) (cbrt (sqrt x)) (cbrt (sqrt x)) 1 (cbrt x) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)) x (sqrt (cbrt x)) (sqrt (cbrt x)) (expm1 (pow x 2/3)) (log1p (pow x 2/3)) 2/3 2 (* x x) (pow x 2/3) 2 (log (pow x 2/3)) (log (pow x 2/3)) (exp (pow x 2/3)) (* x x) (* (cbrt (pow x 2/3)) (cbrt (pow x 2/3))) (cbrt (pow x 2/3)) (* x x) (fabs (cbrt x)) (fabs (cbrt x)) (* (cbrt (pow x 2/3)) (cbrt (pow x 2/3))) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1 (pow x 2/3) (pow (cbrt (cbrt x)) 4) (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt x) (cbrt x) 1 (pow x 2/3) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (* (cbrt (sqrt x)) (sqrt (cbrt x))) (cbrt x) (cbrt x) 2/3 2 (* (cbrt (pow x 2/3)) (cbrt x)) (* (cbrt x) (cbrt (sqrt x))) (cbrt x) (* (pow (cbrt (cbrt x)) 4) (cbrt (cbrt x))) (pow (sqrt (cbrt x)) 3) (cbrt x) (pow (cbrt (cbrt x)) 4) (* (cbrt x) (cbrt (sqrt x))) (pow x 2/3) (pow (cbrt (cbrt x)) 4) (pow (sqrt (cbrt x)) 3) (pow x 2/3) (cbrt x) (pow (/ 1 x) -1/3) (* (cbrt -1) (cbrt (- x))) (cbrt x) (pow (/ 1 x) -1/3) (* (cbrt -1) (cbrt (- x))) (cbrt x) (pow (/ 1 x) -1/3) (* (cbrt -1) (cbrt (- x))) (pow x 2/3) (pow (/ 1 x) -2/3) (* (cbrt (* x x)) (pow (cbrt -1) 2)) 4.949 * * * [progress]: adding candidates to table 5.237 * * [progress]: iteration 4 / 4 5.237 * * * [progress]: picking best candidate 5.239 * * * * [pick]: Picked # 5.239 * * * [progress]: localizing error 5.247 * * * [progress]: generating rewritten candidates 5.247 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 5.248 * * * [progress]: generating series expansions 5.248 * * * * [progress]: [ 1 / 1 ] generating series at (2) 5.248 * [approximate]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (* 0.5 (fabs (- y x)))) in (x y) around 0 5.248 * [taylor]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (* 0.5 (fabs (- y x)))) in y 5.248 * [taylor]: Rewrote expression to (+ (* (sqrt x) (sqrt x)) (* 0.5 (fabs (- y x)))) 5.248 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt x)) in y 5.248 * [taylor]: Taking taylor expansion of (sqrt x) in y 5.248 * [taylor]: Taking taylor expansion of x in y 5.248 * [taylor]: Taking taylor expansion of (sqrt x) in y 5.248 * [taylor]: Taking taylor expansion of x in y 5.248 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 5.248 * [taylor]: Taking taylor expansion of 0.5 in y 5.248 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 5.248 * [taylor]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (* 0.5 (fabs (- y x)))) in x 5.249 * [taylor]: Rewrote expression to (+ (* (sqrt x) (sqrt x)) (* 0.5 (fabs (- y x)))) 5.249 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt x)) in x 5.249 * [taylor]: Taking taylor expansion of (sqrt x) in x 5.249 * [taylor]: Taking taylor expansion of x in x 5.250 * [taylor]: Taking taylor expansion of (sqrt x) in x 5.250 * [taylor]: Taking taylor expansion of x in x 5.251 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 5.251 * [taylor]: Taking taylor expansion of 0.5 in x 5.251 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 5.251 * [taylor]: Taking taylor expansion of (fma (sqrt x) (sqrt x) (* 0.5 (fabs (- y x)))) in x 5.251 * [taylor]: Rewrote expression to (+ (* (sqrt x) (sqrt x)) (* 0.5 (fabs (- y x)))) 5.251 * [taylor]: Taking taylor expansion of (* (sqrt x) (sqrt x)) in x 5.251 * [taylor]: Taking taylor expansion of (sqrt x) in x 5.251 * [taylor]: Taking taylor expansion of x in x 5.252 * [taylor]: Taking taylor expansion of (sqrt x) in x 5.252 * [taylor]: Taking taylor expansion of x in x 5.253 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in x 5.253 * [taylor]: Taking taylor expansion of 0.5 in x 5.253 * [taylor]: Taking taylor expansion of (fabs (- y x)) in x 5.254 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- y x))) in y 5.254 * [taylor]: Taking taylor expansion of 0.5 in y 5.254 * [taylor]: Taking taylor expansion of (fabs (- y x)) in y 5.255 * [taylor]: Taking taylor expansion of 0 in y 5.265 * [taylor]: Taking taylor expansion of (- +nan.0) in y 5.265 * [taylor]: Taking taylor expansion of +nan.0 in y 5.274 * [taylor]: Taking taylor expansion of (- +nan.0) in y 5.274 * [taylor]: Taking taylor expansion of +nan.0 in y 5.275 * [approximate]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) in (x y) around 0 5.275 * [taylor]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) in y 5.275 * [taylor]: Rewrote expression to (+ (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) 5.276 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in y 5.276 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 5.276 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.276 * [taylor]: Taking taylor expansion of x in y 5.276 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 5.276 * [taylor]: Taking taylor expansion of (/ 1 x) in y 5.276 * [taylor]: Taking taylor expansion of x in y 5.276 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 5.276 * [taylor]: Taking taylor expansion of 0.5 in y 5.276 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 5.276 * [taylor]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) in x 5.276 * [taylor]: Rewrote expression to (+ (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) 5.276 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in x 5.276 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.276 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.276 * [taylor]: Taking taylor expansion of x in x 5.278 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.278 * [taylor]: Taking taylor expansion of x in x 5.279 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 5.279 * [taylor]: Taking taylor expansion of 0.5 in x 5.279 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 5.279 * [taylor]: Taking taylor expansion of (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) in x 5.279 * [taylor]: Rewrote expression to (+ (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) (* 0.5 (fabs (- (/ 1 y) (/ 1 x))))) 5.279 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt (/ 1 x))) in x 5.279 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.279 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.279 * [taylor]: Taking taylor expansion of x in x 5.280 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 5.280 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.280 * [taylor]: Taking taylor expansion of x in x 5.282 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in x 5.282 * [taylor]: Taking taylor expansion of 0.5 in x 5.282 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in x 5.282 * [taylor]: Taking taylor expansion of 0 in y 5.283 * [taylor]: Taking taylor expansion of 0 in y 5.289 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) +nan.0) in y 5.289 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 y) (/ 1 x)))) in y 5.289 * [taylor]: Taking taylor expansion of 0.5 in y 5.289 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 y) (/ 1 x))) in y 5.289 * [taylor]: Taking taylor expansion of +nan.0 in y 5.298 * [taylor]: Taking taylor expansion of (- +nan.0) in y 5.298 * [taylor]: Taking taylor expansion of +nan.0 in y 5.310 * [taylor]: Taking taylor expansion of (- +nan.0) in y 5.310 * [taylor]: Taking taylor expansion of +nan.0 in y 5.311 * [approximate]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) in (x y) around 0 5.311 * [taylor]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) in y 5.312 * [taylor]: Rewrote expression to (+ (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) 5.312 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) in y 5.312 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 5.312 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.312 * [taylor]: Taking taylor expansion of -1 in y 5.312 * [taylor]: Taking taylor expansion of x in y 5.312 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 5.312 * [taylor]: Taking taylor expansion of (/ -1 x) in y 5.312 * [taylor]: Taking taylor expansion of -1 in y 5.312 * [taylor]: Taking taylor expansion of x in y 5.312 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 5.312 * [taylor]: Taking taylor expansion of 0.5 in y 5.312 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 5.312 * [taylor]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) in x 5.312 * [taylor]: Rewrote expression to (+ (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) 5.312 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) in x 5.312 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.312 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.312 * [taylor]: Taking taylor expansion of -1 in x 5.312 * [taylor]: Taking taylor expansion of x in x 5.314 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.314 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.314 * [taylor]: Taking taylor expansion of -1 in x 5.314 * [taylor]: Taking taylor expansion of x in x 5.315 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 5.315 * [taylor]: Taking taylor expansion of 0.5 in x 5.315 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 5.315 * [taylor]: Taking taylor expansion of (fma (sqrt (/ -1 x)) (sqrt (/ -1 x)) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) in x 5.315 * [taylor]: Rewrote expression to (+ (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) (* 0.5 (fabs (- (/ 1 x) (/ 1 y))))) 5.315 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 x)) (sqrt (/ -1 x))) in x 5.315 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.315 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.315 * [taylor]: Taking taylor expansion of -1 in x 5.315 * [taylor]: Taking taylor expansion of x in x 5.316 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 5.317 * [taylor]: Taking taylor expansion of (/ -1 x) in x 5.317 * [taylor]: Taking taylor expansion of -1 in x 5.317 * [taylor]: Taking taylor expansion of x in x 5.318 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in x 5.318 * [taylor]: Taking taylor expansion of 0.5 in x 5.318 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in x 5.318 * [taylor]: Taking taylor expansion of 0 in y 5.319 * [taylor]: Taking taylor expansion of 0 in y 5.325 * [taylor]: Taking taylor expansion of (- (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) +nan.0) in y 5.326 * [taylor]: Taking taylor expansion of (* 0.5 (fabs (- (/ 1 x) (/ 1 y)))) in y 5.326 * [taylor]: Taking taylor expansion of 0.5 in y 5.326 * [taylor]: Taking taylor expansion of (fabs (- (/ 1 x) (/ 1 y))) in y 5.326 * [taylor]: Taking taylor expansion of +nan.0 in y 5.335 * [taylor]: Taking taylor expansion of (- +nan.0) in y 5.335 * [taylor]: Taking taylor expansion of +nan.0 in y 5.352 * [taylor]: Taking taylor expansion of (- +nan.0) in y 5.352 * [taylor]: Taking taylor expansion of +nan.0 in y 5.353 * * * [progress]: simplifying candidates 5.353 * [simplify]: Simplifying using # : (expm1 (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (log1p (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (* (sqrt x) (sqrt x)) (log (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (exp (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (* (cbrt (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (cbrt (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0)))) (cbrt (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (* (* (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0)) (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (sqrt (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (sqrt (fma (sqrt x) (sqrt x) (/ (fabs (- y x)) 2.0))) (- (* 0.5 (fabs (- y x))) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (pow x 3))))) (- (* 0.5 (fabs (- y x))) (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (- (* 0.5 (fabs (- y x))) (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 5.355 * * [simplify]: iteration 0 : 40 enodes (cost 216 ) 5.361 * * [simplify]: iteration 1 : 89 enodes (cost 171 ) 5.377 * * [simplify]: iteration 2 : 279 enodes (cost 145 ) 5.456 * * [simplify]: iteration 3 : 1214 enodes (cost 143 ) 6.091 * * [simplify]: iteration done : 5000 enodes (cost 142 ) 6.091 * [simplify]: Simplified to: (expm1 (+ x (/ (fabs (- y x)) 2.0))) (log1p (+ x (/ (fabs (- y x)) 2.0))) x (log (+ x (/ (fabs (- y x)) 2.0))) (exp (+ x (/ (fabs (- y x)) 2.0))) (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (cbrt (+ x (/ (fabs (- y x)) 2.0))) (pow (+ x (/ (fabs (- y x)) 2.0)) 3) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))) (fma 0.5 (fabs (- y x)) (* (* x +nan.0) (- (pow x 2) x))) (fma 0.5 (fabs (- y x)) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2)))) (fma 0.5 (fabs (- y x)) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2)))) 6.091 * * * [progress]: adding candidates to table 6.122 * [progress]: [Phase 3 of 3] Extracting. 6.122 * * [regime]: Finding splitpoints for: (# # #) 6.123 * * * [regime-changes]: Trying 3 branch expressions: ((+ x (/ (fabs (- y x)) 2.0)) y x) 6.123 * * * * [regimes]: Trying to branch on (+ x (/ (fabs (- y x)) 2.0)) from (# # #) 6.146 * * * * [regimes]: Trying to branch on y from (# # #) 6.161 * * * * [regimes]: Trying to branch on x from (# # #) 6.176 * * * [regime]: Found split indices: #