41.069 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.135 * * * [progress]: [2/2] Setting up program. 0.141 * [progress]: [Phase 2 of 3] Improving. 0.141 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.141 * [simplify]: Simplifying: (log (+ x (sqrt (- (* x x) 1)))) 0.141 * * [simplify]: iteration 1: (7 enodes) 0.145 * * [simplify]: iteration 2: (16 enodes) 0.149 * * [simplify]: iteration 3: (19 enodes) 0.155 * * [simplify]: iteration 4: (35 enodes) 0.171 * * [simplify]: iteration 5: (60 enodes) 0.205 * * [simplify]: iteration 6: (97 enodes) 0.232 * * [simplify]: iteration 7: (239 enodes) 0.418 * * [simplify]: iteration 8: (713 enodes) 1.747 * * [simplify]: Extracting #0: cost 1 inf + 0 1.747 * * [simplify]: Extracting #1: cost 2 inf + 0 1.747 * * [simplify]: Extracting #2: cost 4 inf + 0 1.747 * * [simplify]: Extracting #3: cost 4 inf + 1 1.747 * * [simplify]: Extracting #4: cost 97 inf + 1 1.751 * * [simplify]: Extracting #5: cost 276 inf + 3127 1.762 * * [simplify]: Extracting #6: cost 87 inf + 25252 1.771 * * [simplify]: Extracting #7: cost 8 inf + 36635 1.783 * * [simplify]: Extracting #8: cost 0 inf + 37938 1.793 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1)))) 1.796 * * [progress]: iteration 1 / 4 1.796 * * * [progress]: picking best candidate 1.798 * * * * [pick]: Picked # 1.798 * * * [progress]: localizing error 1.811 * * * [progress]: generating rewritten candidates 1.811 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 1.821 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.836 * * * [progress]: generating series expansions 1.836 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 1.837 * [backup-simplify]: Simplify (sqrt (- (* x x) 1)) into (sqrt (- (pow x 2) 1)) 1.837 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in (x) around 0 1.837 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 1.837 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 1.837 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.837 * [taylor]: Taking taylor expansion of x in x 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 1 into 1 1.837 * [taylor]: Taking taylor expansion of 1 in x 1.837 * [backup-simplify]: Simplify 1 into 1 1.837 * [backup-simplify]: Simplify (- 1) into -1 1.838 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.838 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.838 * [backup-simplify]: Simplify (- 0) into 0 1.839 * [backup-simplify]: Simplify (+ 0 0) into 0 1.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.839 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 1.839 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 1.839 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.839 * [taylor]: Taking taylor expansion of x in x 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.839 * [taylor]: Taking taylor expansion of 1 in x 1.840 * [backup-simplify]: Simplify 1 into 1 1.840 * [backup-simplify]: Simplify (- 1) into -1 1.840 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.841 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.841 * [backup-simplify]: Simplify (- 0) into 0 1.841 * [backup-simplify]: Simplify (+ 0 0) into 0 1.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.842 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.842 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify (* 1 1) into 1 1.843 * [backup-simplify]: Simplify (- 0) into 0 1.843 * [backup-simplify]: Simplify (+ 1 0) into 1 1.846 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 1.847 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 1.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.848 * [backup-simplify]: Simplify (- 0) into 0 1.848 * [backup-simplify]: Simplify (+ 0 0) into 0 1.849 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 1.849 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.851 * [backup-simplify]: Simplify (- 0) into 0 1.851 * [backup-simplify]: Simplify (+ 0 0) into 0 1.858 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 1.859 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 1.861 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow x 4)) (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (sqrt -1))) into (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 1.861 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) into (sqrt (- (/ 1 (pow x 2)) 1)) 1.861 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in (x) around 0 1.861 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 1.861 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 1.861 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.861 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.861 * [taylor]: Taking taylor expansion of x in x 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 1 into 1 1.862 * [backup-simplify]: Simplify (* 1 1) into 1 1.862 * [backup-simplify]: Simplify (/ 1 1) into 1 1.862 * [taylor]: Taking taylor expansion of 1 in x 1.862 * [backup-simplify]: Simplify 1 into 1 1.862 * [backup-simplify]: Simplify (+ 1 0) into 1 1.862 * [backup-simplify]: Simplify (sqrt 1) into 1 1.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.864 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 1.864 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 1.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.864 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.864 * [taylor]: Taking taylor expansion of x in x 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify 1 into 1 1.864 * [backup-simplify]: Simplify (* 1 1) into 1 1.864 * [backup-simplify]: Simplify (/ 1 1) into 1 1.864 * [taylor]: Taking taylor expansion of 1 in x 1.864 * [backup-simplify]: Simplify 1 into 1 1.865 * [backup-simplify]: Simplify (+ 1 0) into 1 1.865 * [backup-simplify]: Simplify (sqrt 1) into 1 1.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.866 * [backup-simplify]: Simplify (+ 0 0) into 0 1.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.866 * [backup-simplify]: Simplify 1 into 1 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.868 * [backup-simplify]: Simplify (- 1) into -1 1.868 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.869 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 1.869 * [backup-simplify]: Simplify -1/2 into -1/2 1.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.870 * [backup-simplify]: Simplify (- 0) into 0 1.870 * [backup-simplify]: Simplify (+ 0 0) into 0 1.871 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 1.871 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.873 * [backup-simplify]: Simplify (- 0) into 0 1.873 * [backup-simplify]: Simplify (+ 0 0) into 0 1.874 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 1.874 * [backup-simplify]: Simplify -1/8 into -1/8 1.874 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 1.874 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) into (sqrt (- (/ 1 (pow x 2)) 1)) 1.874 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in (x) around 0 1.874 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 1.874 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 1.874 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.874 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.874 * [taylor]: Taking taylor expansion of x in x 1.874 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify 1 into 1 1.874 * [backup-simplify]: Simplify (* 1 1) into 1 1.875 * [backup-simplify]: Simplify (/ 1 1) into 1 1.875 * [taylor]: Taking taylor expansion of 1 in x 1.875 * [backup-simplify]: Simplify 1 into 1 1.875 * [backup-simplify]: Simplify (+ 1 0) into 1 1.875 * [backup-simplify]: Simplify (sqrt 1) into 1 1.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.876 * [backup-simplify]: Simplify (+ 0 0) into 0 1.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.877 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 1.877 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 1.877 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.877 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.877 * [taylor]: Taking taylor expansion of x in x 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 1 into 1 1.877 * [backup-simplify]: Simplify (* 1 1) into 1 1.877 * [backup-simplify]: Simplify (/ 1 1) into 1 1.877 * [taylor]: Taking taylor expansion of 1 in x 1.877 * [backup-simplify]: Simplify 1 into 1 1.878 * [backup-simplify]: Simplify (+ 1 0) into 1 1.878 * [backup-simplify]: Simplify (sqrt 1) into 1 1.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.879 * [backup-simplify]: Simplify (+ 0 0) into 0 1.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.881 * [backup-simplify]: Simplify (- 1) into -1 1.881 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.882 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 1.882 * [backup-simplify]: Simplify -1/2 into -1/2 1.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.883 * [backup-simplify]: Simplify (- 0) into 0 1.884 * [backup-simplify]: Simplify (+ 0 0) into 0 1.884 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (- 0) into 0 1.886 * [backup-simplify]: Simplify (+ 0 0) into 0 1.887 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 1.887 * [backup-simplify]: Simplify -1/8 into -1/8 1.887 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) 1.887 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.887 * [backup-simplify]: Simplify (+ x (sqrt (- (* x x) 1))) into (+ x (sqrt (- (pow x 2) 1))) 1.887 * [approximate]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1))) in (x) around 0 1.887 * [taylor]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1))) in x 1.888 * [taylor]: Taking taylor expansion of x in x 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify 1 into 1 1.888 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 1.888 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 1.888 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.888 * [taylor]: Taking taylor expansion of x in x 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify 1 into 1 1.888 * [taylor]: Taking taylor expansion of 1 in x 1.888 * [backup-simplify]: Simplify 1 into 1 1.888 * [backup-simplify]: Simplify (- 1) into -1 1.888 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.889 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.889 * [backup-simplify]: Simplify (- 0) into 0 1.889 * [backup-simplify]: Simplify (+ 0 0) into 0 1.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.890 * [taylor]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1))) in x 1.890 * [taylor]: Taking taylor expansion of x in x 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 1 into 1 1.890 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 1.890 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 1.890 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.890 * [taylor]: Taking taylor expansion of x in x 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 1 into 1 1.890 * [taylor]: Taking taylor expansion of 1 in x 1.890 * [backup-simplify]: Simplify 1 into 1 1.890 * [backup-simplify]: Simplify (- 1) into -1 1.891 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.891 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.891 * [backup-simplify]: Simplify (- 0) into 0 1.892 * [backup-simplify]: Simplify (+ 0 0) into 0 1.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 1.893 * [backup-simplify]: Simplify (+ 0 (sqrt -1)) into (sqrt -1) 1.893 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 1.894 * [backup-simplify]: Simplify (+ 1 0) into 1 1.894 * [backup-simplify]: Simplify 1 into 1 1.894 * [backup-simplify]: Simplify (* 1 1) into 1 1.894 * [backup-simplify]: Simplify (- 0) into 0 1.895 * [backup-simplify]: Simplify (+ 1 0) into 1 1.897 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 1.898 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt -1))) into (* 1/2 (/ 1 (sqrt -1))) 1.899 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) 1.900 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (+ (* 1 x) (sqrt -1))) into (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 1.900 * [backup-simplify]: Simplify (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) into (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) 1.900 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in (x) around 0 1.900 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 1.900 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 1.900 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 1.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.901 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.901 * [taylor]: Taking taylor expansion of x in x 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 1 into 1 1.901 * [backup-simplify]: Simplify (* 1 1) into 1 1.901 * [backup-simplify]: Simplify (/ 1 1) into 1 1.901 * [taylor]: Taking taylor expansion of 1 in x 1.901 * [backup-simplify]: Simplify 1 into 1 1.902 * [backup-simplify]: Simplify (+ 1 0) into 1 1.902 * [backup-simplify]: Simplify (sqrt 1) into 1 1.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.903 * [backup-simplify]: Simplify (+ 0 0) into 0 1.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.904 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.904 * [taylor]: Taking taylor expansion of x in x 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.904 * [backup-simplify]: Simplify (/ 1 1) into 1 1.904 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 1.904 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 1.904 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 1.904 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.904 * [taylor]: Taking taylor expansion of x in x 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.905 * [backup-simplify]: Simplify (* 1 1) into 1 1.905 * [backup-simplify]: Simplify (/ 1 1) into 1 1.905 * [taylor]: Taking taylor expansion of 1 in x 1.905 * [backup-simplify]: Simplify 1 into 1 1.905 * [backup-simplify]: Simplify (+ 1 0) into 1 1.906 * [backup-simplify]: Simplify (sqrt 1) into 1 1.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.907 * [backup-simplify]: Simplify (+ 0 0) into 0 1.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [backup-simplify]: Simplify (/ 1 1) into 1 1.908 * [backup-simplify]: Simplify (+ 1 1) into 2 1.909 * [backup-simplify]: Simplify 2 into 2 1.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.909 * [backup-simplify]: Simplify (+ 0 0) into 0 1.909 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.911 * [backup-simplify]: Simplify (- 1) into -1 1.911 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.912 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 1.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.913 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.913 * [backup-simplify]: Simplify -1/2 into -1/2 1.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.915 * [backup-simplify]: Simplify (- 0) into 0 1.915 * [backup-simplify]: Simplify (+ 0 0) into 0 1.916 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 1.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.916 * [backup-simplify]: Simplify (+ 0 0) into 0 1.916 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.919 * [backup-simplify]: Simplify (- 0) into 0 1.919 * [backup-simplify]: Simplify (+ 0 0) into 0 1.920 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 1.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.922 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 1.922 * [backup-simplify]: Simplify -1/8 into -1/8 1.922 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 1.923 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) into (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) 1.923 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in (x) around 0 1.923 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 1.923 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 1.923 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 1.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.923 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.923 * [taylor]: Taking taylor expansion of x in x 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1 into 1 1.924 * [backup-simplify]: Simplify (* 1 1) into 1 1.924 * [backup-simplify]: Simplify (/ 1 1) into 1 1.924 * [taylor]: Taking taylor expansion of 1 in x 1.924 * [backup-simplify]: Simplify 1 into 1 1.925 * [backup-simplify]: Simplify (+ 1 0) into 1 1.925 * [backup-simplify]: Simplify (sqrt 1) into 1 1.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify (+ 0 0) into 0 1.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.927 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.927 * [taylor]: Taking taylor expansion of x in x 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (/ 1 1) into 1 1.928 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 1.928 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 1.928 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 1.928 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.928 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.928 * [taylor]: Taking taylor expansion of x in x 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (* 1 1) into 1 1.929 * [backup-simplify]: Simplify (/ 1 1) into 1 1.929 * [taylor]: Taking taylor expansion of 1 in x 1.929 * [backup-simplify]: Simplify 1 into 1 1.929 * [backup-simplify]: Simplify (+ 1 0) into 1 1.930 * [backup-simplify]: Simplify (sqrt 1) into 1 1.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.932 * [backup-simplify]: Simplify (+ 0 0) into 0 1.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.932 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.932 * [taylor]: Taking taylor expansion of x in x 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (/ 1 1) into 1 1.933 * [backup-simplify]: Simplify (- 1) into -1 1.934 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.934 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.935 * [backup-simplify]: Simplify (- 0) into 0 1.935 * [backup-simplify]: Simplify (+ 0 0) into 0 1.935 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (- 1) into -1 1.938 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.939 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 1.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.940 * [backup-simplify]: Simplify (- 0) into 0 1.941 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 1.941 * [backup-simplify]: Simplify -1/2 into -1/2 1.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.943 * [backup-simplify]: Simplify (- 0) into 0 1.944 * [backup-simplify]: Simplify (+ 0 0) into 0 1.945 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 1.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.946 * [backup-simplify]: Simplify (- 0) into 0 1.946 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.948 * [backup-simplify]: Simplify (- 0) into 0 1.948 * [backup-simplify]: Simplify (+ 0 0) into 0 1.949 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 1.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.949 * [backup-simplify]: Simplify (- 0) into 0 1.950 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 1.950 * [backup-simplify]: Simplify -1/8 into -1/8 1.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.951 * [backup-simplify]: Simplify (- 0) into 0 1.951 * [backup-simplify]: Simplify (+ 0 0) into 0 1.952 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* -1/2 0)))) (* 2 1)) into 0 1.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify (- 0) into 0 1.953 * [backup-simplify]: Simplify (+ 0 0) into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.955 * [backup-simplify]: Simplify (- 0) into 0 1.955 * [backup-simplify]: Simplify (+ 0 0) into 0 1.956 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 1.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (- 0) into 0 1.957 * [backup-simplify]: Simplify (+ -1/16 0) into -1/16 1.957 * [backup-simplify]: Simplify -1/16 into -1/16 1.958 * [backup-simplify]: Simplify (+ (* -1/16 (pow (/ 1 (- x)) 5)) (+ (* -1/8 (pow (/ 1 (- x)) 3)) (* -1/2 (/ 1 (- x))))) into (+ (* 1/16 (/ 1 (pow x 5))) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 1.958 * * * [progress]: simplifying candidates 1.958 * * * * [progress]: [ 1 / 38 ] simplifiying candidate # 1.958 * * * * [progress]: [ 2 / 38 ] simplifiying candidate # 1.958 * * * * [progress]: [ 3 / 38 ] simplifiying candidate # 1.958 * * * * [progress]: [ 4 / 38 ] simplifiying candidate # 1.958 * * * * [progress]: [ 5 / 38 ] simplifiying candidate # 1.958 * * * * [progress]: [ 6 / 38 ] simplifiying candidate # 1.958 * * * * [progress]: [ 7 / 38 ] simplifiying candidate # 1.958 * * * * [progress]: [ 8 / 38 ] simplifiying candidate # 1.958 * * * * [progress]: [ 9 / 38 ] simplifiying candidate # 1.958 * * * * [progress]: [ 10 / 38 ] simplifiying candidate # 1.958 * * * * [progress]: [ 11 / 38 ] simplifiying candidate # 1.958 * * * * [progress]: [ 12 / 38 ] simplifiying candidate # 1.958 * * * * [progress]: [ 13 / 38 ] simplifiying candidate # 1.958 * * * * [progress]: [ 14 / 38 ] simplifiying candidate # 1.958 * * * * [progress]: [ 15 / 38 ] simplifiying candidate # 1.958 * * * * [progress]: [ 16 / 38 ] simplifiying candidate # 1.958 * * * * [progress]: [ 17 / 38 ] simplifiying candidate # 1.958 * * * * [progress]: [ 18 / 38 ] simplifiying candidate # 1.958 * * * * [progress]: [ 19 / 38 ] simplifiying candidate #real (real->posit16 (sqrt (- (* x x) 1)))))))> 1.958 * * * * [progress]: [ 20 / 38 ] simplifiying candidate # 1.958 * * * * [progress]: [ 21 / 38 ] simplifiying candidate # 1.958 * * * * [progress]: [ 22 / 38 ] simplifiying candidate # 1.958 * * * * [progress]: [ 23 / 38 ] simplifiying candidate # 1.958 * * * * [progress]: [ 24 / 38 ] simplifiying candidate # 1.959 * * * * [progress]: [ 25 / 38 ] simplifiying candidate # 1.959 * * * * [progress]: [ 26 / 38 ] simplifiying candidate # 1.959 * * * * [progress]: [ 27 / 38 ] simplifiying candidate # 1.959 * * * * [progress]: [ 28 / 38 ] simplifiying candidate # 1.959 * * * * [progress]: [ 29 / 38 ] simplifiying candidate # 1.959 * * * * [progress]: [ 30 / 38 ] simplifiying candidate # 1.959 * * * * [progress]: [ 31 / 38 ] simplifiying candidate #real (real->posit16 (+ x (sqrt (- (* x x) 1)))))))> 1.959 * * * * [progress]: [ 32 / 38 ] simplifiying candidate # 1.959 * * * * [progress]: [ 33 / 38 ] simplifiying candidate # 1.959 * * * * [progress]: [ 34 / 38 ] simplifiying candidate # 1.959 * * * * [progress]: [ 35 / 38 ] simplifiying candidate # 1.959 * * * * [progress]: [ 36 / 38 ] simplifiying candidate # 1.959 * * * * [progress]: [ 37 / 38 ] simplifiying candidate # 1.959 * * * * [progress]: [ 38 / 38 ] simplifiying candidate # 1.959 * [simplify]: Simplifying: (log (sqrt (- (* x x) 1))) (exp (sqrt (- (* x x) 1))) (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1)))) (cbrt (sqrt (- (* x x) 1))) (* (* (sqrt (- (* x x) 1)) (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1))) (sqrt (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1)))) (sqrt (cbrt (- (* x x) 1))) (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- (* x x) 1))) (sqrt 1) (sqrt (- (* x x) 1)) (sqrt (+ x (sqrt 1))) (sqrt (- x (sqrt 1))) (sqrt (+ x 1)) (sqrt (- x 1)) (sqrt (+ x 1)) (sqrt (- x 1)) (sqrt (- (pow (* x x) 3) (pow 1 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1 1) (* (* x x) 1)))) (sqrt (- (* (* x x) (* x x)) (* 1 1))) (sqrt (+ (* x x) 1)) (/ 1 2) (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- (* x x) 1))) (real->posit16 (sqrt (- (* x x) 1))) (* (exp x) (exp (sqrt (- (* x x) 1)))) (log (+ x (sqrt (- (* x x) 1)))) (exp (+ x (sqrt (- (* x x) 1)))) (* (cbrt (+ x (sqrt (- (* x x) 1)))) (cbrt (+ x (sqrt (- (* x x) 1))))) (cbrt (+ x (sqrt (- (* x x) 1)))) (* (* (+ x (sqrt (- (* x x) 1))) (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1)))) (sqrt (+ x (sqrt (- (* x x) 1)))) (sqrt (+ x (sqrt (- (* x x) 1)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1)) 3)) (+ (* x x) (- (* (sqrt (- (* x x) 1)) (sqrt (- (* x x) 1))) (* x (sqrt (- (* x x) 1))))) (- (* x x) (* (sqrt (- (* x x) 1)) (sqrt (- (* x x) 1)))) (- x (sqrt (- (* x x) 1))) (+ x (sqrt (- (* x x) 1))) (real->posit16 (+ x (sqrt (- (* x x) 1)))) (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (+ (* 1/16 (/ 1 (pow x 5))) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 1.960 * * [simplify]: iteration 1: (91 enodes) 1.984 * * [simplify]: iteration 2: (208 enodes) 2.041 * * [simplify]: iteration 3: (471 enodes) 2.250 * * [simplify]: iteration 4: (1225 enodes) 3.624 * * [simplify]: Extracting #0: cost 35 inf + 0 3.625 * * [simplify]: Extracting #1: cost 179 inf + 2 3.627 * * [simplify]: Extracting #2: cost 438 inf + 1186 3.632 * * [simplify]: Extracting #3: cost 384 inf + 29752 3.650 * * [simplify]: Extracting #4: cost 92 inf + 103470 3.692 * * [simplify]: Extracting #5: cost 9 inf + 130121 3.718 * * [simplify]: Extracting #6: cost 0 inf + 133275 3.768 * [simplify]: Simplified to: (log (sqrt (+ -1 (* x x)))) (exp (sqrt (+ -1 (* x x)))) (* (cbrt (sqrt (+ -1 (* x x)))) (cbrt (sqrt (+ -1 (* x x))))) (cbrt (sqrt (+ -1 (* x x)))) (* (sqrt (+ -1 (* x x))) (+ -1 (* x x))) (fabs (cbrt (+ -1 (* x x)))) (sqrt (cbrt (+ -1 (* x x)))) (sqrt (sqrt (+ -1 (* x x)))) (sqrt (sqrt (+ -1 (* x x)))) 1 (sqrt (+ -1 (* x x))) (sqrt (+ x 1)) (sqrt (- x 1)) (sqrt (+ x 1)) (sqrt (- x 1)) (sqrt (+ x 1)) (sqrt (- x 1)) (sqrt (- (* (* x x) (* (* x x) (* x x))) 1)) (sqrt (+ (+ (* (* x x) (* x x)) (* x x)) 1)) (sqrt (- (* (* x x) (* x x)) 1)) (sqrt (+ (* x x) 1)) 1/2 (sqrt (sqrt (+ -1 (* x x)))) (sqrt (sqrt (+ -1 (* x x)))) (real->posit16 (sqrt (+ -1 (* x x)))) (exp (+ x (sqrt (+ -1 (* x x))))) (log (+ x (sqrt (+ -1 (* x x))))) (exp (+ x (sqrt (+ -1 (* x x))))) (* (cbrt (+ x (sqrt (+ -1 (* x x))))) (cbrt (+ x (sqrt (+ -1 (* x x)))))) (cbrt (+ x (sqrt (+ -1 (* x x))))) (* (* (+ x (sqrt (+ -1 (* x x)))) (+ x (sqrt (+ -1 (* x x))))) (+ x (sqrt (+ -1 (* x x))))) (sqrt (+ x (sqrt (+ -1 (* x x))))) (sqrt (+ x (sqrt (+ -1 (* x x))))) (+ (* x (* x x)) (* (sqrt (+ -1 (* x x))) (+ -1 (* x x)))) (- (+ -1 (* x x)) (* x (- (sqrt (+ -1 (* x x))) x))) 1 (- x (sqrt (+ -1 (* x x)))) (+ x (sqrt (+ -1 (* x x)))) (real->posit16 (+ x (sqrt (+ -1 (* x x))))) (+ (/ (* (* x x) (* (* x x) 1/8)) (sqrt -1)) (+ (sqrt -1) (* (/ x (/ (sqrt -1) x)) 1/2))) (- x (+ (/ (/ 1/8 (* x x)) x) (/ 1/2 x))) (- (+ (/ (/ 1/8 (* x x)) x) (/ 1/2 x)) x) (+ (+ x (sqrt -1)) (* (/ x (/ (sqrt -1) x)) 1/2)) (- (+ (/ -1/2 x) (* x 2)) (/ (/ 1/8 (* x x)) x)) (+ (/ 1/16 (* x (* (* x x) (* x x)))) (+ (/ (/ 1/8 (* x x)) x) (/ 1/2 x))) 3.772 * * * [progress]: adding candidates to table 4.050 * * [progress]: iteration 2 / 4 4.050 * * * [progress]: picking best candidate 4.054 * * * * [pick]: Picked # 4.054 * * * [progress]: localizing error 4.071 * * * [progress]: generating rewritten candidates 4.071 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 4.099 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.109 * * * [progress]: generating series expansions 4.109 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 4.109 * [backup-simplify]: Simplify (* (sqrt (+ x 1)) (sqrt (- x 1))) into (sqrt (* (+ x 1) (- x 1))) 4.109 * [approximate]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in (x) around 0 4.109 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 4.109 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 4.109 * [taylor]: Taking taylor expansion of (+ x 1) in x 4.109 * [taylor]: Taking taylor expansion of x in x 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify 1 into 1 4.109 * [taylor]: Taking taylor expansion of 1 in x 4.109 * [backup-simplify]: Simplify 1 into 1 4.109 * [taylor]: Taking taylor expansion of (- x 1) in x 4.109 * [taylor]: Taking taylor expansion of x in x 4.109 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify 1 into 1 4.109 * [taylor]: Taking taylor expansion of 1 in x 4.109 * [backup-simplify]: Simplify 1 into 1 4.110 * [backup-simplify]: Simplify (+ 0 1) into 1 4.110 * [backup-simplify]: Simplify (- 1) into -1 4.110 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.111 * [backup-simplify]: Simplify (* 1 -1) into -1 4.111 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.111 * [backup-simplify]: Simplify (- 0) into 0 4.111 * [backup-simplify]: Simplify (+ 1 0) into 1 4.112 * [backup-simplify]: Simplify (+ 1 0) into 1 4.112 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 4.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.112 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 4.112 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 4.112 * [taylor]: Taking taylor expansion of (+ x 1) in x 4.112 * [taylor]: Taking taylor expansion of x in x 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 1 into 1 4.112 * [taylor]: Taking taylor expansion of 1 in x 4.113 * [backup-simplify]: Simplify 1 into 1 4.113 * [taylor]: Taking taylor expansion of (- x 1) in x 4.113 * [taylor]: Taking taylor expansion of x in x 4.113 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify 1 into 1 4.113 * [taylor]: Taking taylor expansion of 1 in x 4.113 * [backup-simplify]: Simplify 1 into 1 4.113 * [backup-simplify]: Simplify (+ 0 1) into 1 4.113 * [backup-simplify]: Simplify (- 1) into -1 4.113 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.114 * [backup-simplify]: Simplify (* 1 -1) into -1 4.114 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.114 * [backup-simplify]: Simplify (- 0) into 0 4.114 * [backup-simplify]: Simplify (+ 1 0) into 1 4.115 * [backup-simplify]: Simplify (+ 1 0) into 1 4.115 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 4.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.116 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify (- 0) into 0 4.116 * [backup-simplify]: Simplify (+ 0 0) into 0 4.117 * [backup-simplify]: Simplify (+ 0 0) into 0 4.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 -1))) into 1 4.119 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 4.120 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 4.120 * [backup-simplify]: Simplify (- 0) into 0 4.120 * [backup-simplify]: Simplify (+ 0 0) into 0 4.120 * [backup-simplify]: Simplify (+ 0 0) into 0 4.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 4.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 4.122 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify (- 0) into 0 4.122 * [backup-simplify]: Simplify (+ 0 0) into 0 4.123 * [backup-simplify]: Simplify (+ 0 0) into 0 4.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 4.126 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 4.126 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 4.128 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow x 4)) (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (sqrt -1))) into (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 4.128 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 x) 1)) (sqrt (- (/ 1 x) 1))) into (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) 4.128 * [approximate]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in (x) around 0 4.128 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 4.128 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 4.128 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 4.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.128 * [taylor]: Taking taylor expansion of x in x 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify 1 into 1 4.128 * [backup-simplify]: Simplify (/ 1 1) into 1 4.128 * [taylor]: Taking taylor expansion of 1 in x 4.128 * [backup-simplify]: Simplify 1 into 1 4.128 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 4.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.128 * [taylor]: Taking taylor expansion of x in x 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify 1 into 1 4.129 * [backup-simplify]: Simplify (/ 1 1) into 1 4.129 * [taylor]: Taking taylor expansion of 1 in x 4.129 * [backup-simplify]: Simplify 1 into 1 4.129 * [backup-simplify]: Simplify (+ 1 0) into 1 4.129 * [backup-simplify]: Simplify (+ 1 0) into 1 4.130 * [backup-simplify]: Simplify (* 1 1) into 1 4.130 * [backup-simplify]: Simplify (sqrt 1) into 1 4.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.131 * [backup-simplify]: Simplify (- 1) into -1 4.132 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.133 * [backup-simplify]: Simplify (+ 0 1) into 1 4.133 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 4.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.134 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 4.134 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 4.134 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 4.134 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.134 * [taylor]: Taking taylor expansion of x in x 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 1 into 1 4.135 * [backup-simplify]: Simplify (/ 1 1) into 1 4.135 * [taylor]: Taking taylor expansion of 1 in x 4.135 * [backup-simplify]: Simplify 1 into 1 4.135 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 4.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.135 * [taylor]: Taking taylor expansion of x in x 4.135 * [backup-simplify]: Simplify 0 into 0 4.135 * [backup-simplify]: Simplify 1 into 1 4.135 * [backup-simplify]: Simplify (/ 1 1) into 1 4.135 * [taylor]: Taking taylor expansion of 1 in x 4.135 * [backup-simplify]: Simplify 1 into 1 4.136 * [backup-simplify]: Simplify (+ 1 0) into 1 4.136 * [backup-simplify]: Simplify (+ 1 0) into 1 4.137 * [backup-simplify]: Simplify (* 1 1) into 1 4.137 * [backup-simplify]: Simplify (sqrt 1) into 1 4.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.138 * [backup-simplify]: Simplify (- 1) into -1 4.139 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.140 * [backup-simplify]: Simplify (+ 0 1) into 1 4.141 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 4.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.141 * [backup-simplify]: Simplify 1 into 1 4.141 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.143 * [backup-simplify]: Simplify (- 0) into 0 4.143 * [backup-simplify]: Simplify (+ 0 0) into 0 4.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.145 * [backup-simplify]: Simplify (+ 0 0) into 0 4.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 -1) (* 0 1))) into -1 4.147 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 4.147 * [backup-simplify]: Simplify -1/2 into -1/2 4.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.148 * [backup-simplify]: Simplify (- 0) into 0 4.149 * [backup-simplify]: Simplify (+ 0 0) into 0 4.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.150 * [backup-simplify]: Simplify (+ 0 0) into 0 4.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 -1) (* 0 1)))) into 0 4.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 4.153 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.154 * [backup-simplify]: Simplify (- 0) into 0 4.155 * [backup-simplify]: Simplify (+ 0 0) into 0 4.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.156 * [backup-simplify]: Simplify (+ 0 0) into 0 4.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))) into 0 4.159 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.159 * [backup-simplify]: Simplify -1/8 into -1/8 4.159 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 4.160 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (- (/ 1 (- x)) 1))) into (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) 4.160 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in (x) around 0 4.160 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 4.160 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 4.160 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 4.160 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 4.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.160 * [taylor]: Taking taylor expansion of x in x 4.160 * [backup-simplify]: Simplify 0 into 0 4.160 * [backup-simplify]: Simplify 1 into 1 4.161 * [backup-simplify]: Simplify (/ 1 1) into 1 4.161 * [taylor]: Taking taylor expansion of 1 in x 4.161 * [backup-simplify]: Simplify 1 into 1 4.161 * [backup-simplify]: Simplify (+ 1 0) into 1 4.162 * [backup-simplify]: Simplify (- 1) into -1 4.162 * [backup-simplify]: Simplify (sqrt 0) into 0 4.162 * [backup-simplify]: Simplify (- 1) into -1 4.164 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.164 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 4.164 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 4.164 * [taylor]: Taking taylor expansion of 1 in x 4.164 * [backup-simplify]: Simplify 1 into 1 4.164 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.164 * [taylor]: Taking taylor expansion of x in x 4.164 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify 1 into 1 4.165 * [backup-simplify]: Simplify (/ 1 1) into 1 4.165 * [backup-simplify]: Simplify (- 1) into -1 4.166 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.166 * [backup-simplify]: Simplify (sqrt 0) into 0 4.167 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.167 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 4.167 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 4.167 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 4.167 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 4.167 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.167 * [taylor]: Taking taylor expansion of x in x 4.168 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify 1 into 1 4.168 * [backup-simplify]: Simplify (/ 1 1) into 1 4.168 * [taylor]: Taking taylor expansion of 1 in x 4.168 * [backup-simplify]: Simplify 1 into 1 4.168 * [backup-simplify]: Simplify (+ 1 0) into 1 4.169 * [backup-simplify]: Simplify (- 1) into -1 4.169 * [backup-simplify]: Simplify (sqrt 0) into 0 4.170 * [backup-simplify]: Simplify (- 1) into -1 4.171 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.171 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 4.171 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 4.171 * [taylor]: Taking taylor expansion of 1 in x 4.171 * [backup-simplify]: Simplify 1 into 1 4.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.172 * [taylor]: Taking taylor expansion of x in x 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 1 into 1 4.172 * [backup-simplify]: Simplify (/ 1 1) into 1 4.172 * [backup-simplify]: Simplify (- 1) into -1 4.173 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.173 * [backup-simplify]: Simplify (sqrt 0) into 0 4.174 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.175 * [backup-simplify]: Simplify (* 0 0) into 0 4.175 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 4.176 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.177 * [backup-simplify]: Simplify (- 0) into 0 4.177 * [backup-simplify]: Simplify (+ 1 0) into 1 4.182 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.183 * [backup-simplify]: Simplify (+ 0 1) into 1 4.183 * [backup-simplify]: Simplify (- 1) into -1 4.186 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.187 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 4.188 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.189 * [backup-simplify]: Simplify (- 0) into 0 4.189 * [backup-simplify]: Simplify (+ 0 0) into 0 4.191 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.192 * [backup-simplify]: Simplify (+ 0 0) into 0 4.192 * [backup-simplify]: Simplify (- 0) into 0 4.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.197 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 4.197 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.198 * [backup-simplify]: Simplify (- 0) into 0 4.198 * [backup-simplify]: Simplify (+ 0 0) into 0 4.201 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.202 * [backup-simplify]: Simplify (+ 0 0) into 0 4.202 * [backup-simplify]: Simplify (- 0) into 0 4.205 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.208 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 4.208 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.209 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 4.209 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.209 * [backup-simplify]: Simplify (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))) into (+ x (sqrt (* (+ x 1) (- x 1)))) 4.209 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x 1) (- x 1)))) in (x) around 0 4.209 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x 1) (- x 1)))) in x 4.209 * [taylor]: Taking taylor expansion of x in x 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 1 into 1 4.210 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 4.210 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 4.210 * [taylor]: Taking taylor expansion of (+ x 1) in x 4.210 * [taylor]: Taking taylor expansion of x in x 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [taylor]: Taking taylor expansion of 1 in x 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [taylor]: Taking taylor expansion of (- x 1) in x 4.210 * [taylor]: Taking taylor expansion of x in x 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [taylor]: Taking taylor expansion of 1 in x 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [backup-simplify]: Simplify (+ 0 1) into 1 4.210 * [backup-simplify]: Simplify (- 1) into -1 4.210 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.211 * [backup-simplify]: Simplify (* 1 -1) into -1 4.211 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.214 * [backup-simplify]: Simplify (- 0) into 0 4.214 * [backup-simplify]: Simplify (+ 1 0) into 1 4.215 * [backup-simplify]: Simplify (+ 1 0) into 1 4.215 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 4.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.215 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x 1) (- x 1)))) in x 4.216 * [taylor]: Taking taylor expansion of x in x 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify 1 into 1 4.216 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 4.216 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 4.216 * [taylor]: Taking taylor expansion of (+ x 1) in x 4.216 * [taylor]: Taking taylor expansion of x in x 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify 1 into 1 4.216 * [taylor]: Taking taylor expansion of 1 in x 4.216 * [backup-simplify]: Simplify 1 into 1 4.216 * [taylor]: Taking taylor expansion of (- x 1) in x 4.216 * [taylor]: Taking taylor expansion of x in x 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify 1 into 1 4.216 * [taylor]: Taking taylor expansion of 1 in x 4.216 * [backup-simplify]: Simplify 1 into 1 4.216 * [backup-simplify]: Simplify (+ 0 1) into 1 4.216 * [backup-simplify]: Simplify (- 1) into -1 4.216 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.217 * [backup-simplify]: Simplify (* 1 -1) into -1 4.217 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.217 * [backup-simplify]: Simplify (- 0) into 0 4.218 * [backup-simplify]: Simplify (+ 1 0) into 1 4.218 * [backup-simplify]: Simplify (+ 1 0) into 1 4.218 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 4.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 4.219 * [backup-simplify]: Simplify (+ 0 (sqrt -1)) into (sqrt -1) 4.219 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 4.220 * [backup-simplify]: Simplify (+ 1 0) into 1 4.220 * [backup-simplify]: Simplify 1 into 1 4.220 * [backup-simplify]: Simplify (- 0) into 0 4.220 * [backup-simplify]: Simplify (+ 0 0) into 0 4.221 * [backup-simplify]: Simplify (+ 0 0) into 0 4.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 -1))) into 1 4.224 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 4.226 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt -1))) into (* 1/2 (/ 1 (sqrt -1))) 4.228 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) 4.229 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (+ (* 1 x) (sqrt -1))) into (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 4.229 * [backup-simplify]: Simplify (+ (/ 1 x) (* (sqrt (+ (/ 1 x) 1)) (sqrt (- (/ 1 x) 1)))) into (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) 4.229 * [approximate]: Taking taylor expansion of (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) in (x) around 0 4.229 * [taylor]: Taking taylor expansion of (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) in x 4.229 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 4.229 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 4.229 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 4.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.229 * [taylor]: Taking taylor expansion of x in x 4.229 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify 1 into 1 4.230 * [backup-simplify]: Simplify (/ 1 1) into 1 4.230 * [taylor]: Taking taylor expansion of 1 in x 4.230 * [backup-simplify]: Simplify 1 into 1 4.230 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 4.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.230 * [taylor]: Taking taylor expansion of x in x 4.230 * [backup-simplify]: Simplify 0 into 0 4.230 * [backup-simplify]: Simplify 1 into 1 4.230 * [backup-simplify]: Simplify (/ 1 1) into 1 4.231 * [taylor]: Taking taylor expansion of 1 in x 4.231 * [backup-simplify]: Simplify 1 into 1 4.231 * [backup-simplify]: Simplify (+ 1 0) into 1 4.231 * [backup-simplify]: Simplify (+ 1 0) into 1 4.232 * [backup-simplify]: Simplify (* 1 1) into 1 4.232 * [backup-simplify]: Simplify (sqrt 1) into 1 4.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.233 * [backup-simplify]: Simplify (- 1) into -1 4.234 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.235 * [backup-simplify]: Simplify (+ 0 1) into 1 4.235 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 4.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.236 * [taylor]: Taking taylor expansion of x in x 4.236 * [backup-simplify]: Simplify 0 into 0 4.236 * [backup-simplify]: Simplify 1 into 1 4.237 * [backup-simplify]: Simplify (/ 1 1) into 1 4.237 * [taylor]: Taking taylor expansion of (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) in x 4.237 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 4.237 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 4.237 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 4.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.237 * [taylor]: Taking taylor expansion of x in x 4.237 * [backup-simplify]: Simplify 0 into 0 4.237 * [backup-simplify]: Simplify 1 into 1 4.237 * [backup-simplify]: Simplify (/ 1 1) into 1 4.237 * [taylor]: Taking taylor expansion of 1 in x 4.237 * [backup-simplify]: Simplify 1 into 1 4.237 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 4.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.237 * [taylor]: Taking taylor expansion of x in x 4.237 * [backup-simplify]: Simplify 0 into 0 4.237 * [backup-simplify]: Simplify 1 into 1 4.238 * [backup-simplify]: Simplify (/ 1 1) into 1 4.238 * [taylor]: Taking taylor expansion of 1 in x 4.238 * [backup-simplify]: Simplify 1 into 1 4.238 * [backup-simplify]: Simplify (+ 1 0) into 1 4.239 * [backup-simplify]: Simplify (+ 1 0) into 1 4.239 * [backup-simplify]: Simplify (* 1 1) into 1 4.239 * [backup-simplify]: Simplify (sqrt 1) into 1 4.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.240 * [backup-simplify]: Simplify (- 1) into -1 4.241 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.242 * [backup-simplify]: Simplify (+ 0 1) into 1 4.243 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 4.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.244 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.244 * [taylor]: Taking taylor expansion of x in x 4.244 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify 1 into 1 4.244 * [backup-simplify]: Simplify (/ 1 1) into 1 4.244 * [backup-simplify]: Simplify (+ 1 1) into 2 4.244 * [backup-simplify]: Simplify 2 into 2 4.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.246 * [backup-simplify]: Simplify (+ 0 0) into 0 4.246 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.247 * [backup-simplify]: Simplify (- 0) into 0 4.247 * [backup-simplify]: Simplify (+ 0 0) into 0 4.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.249 * [backup-simplify]: Simplify (+ 0 0) into 0 4.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 -1) (* 0 1))) into -1 4.251 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 4.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.252 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 4.252 * [backup-simplify]: Simplify -1/2 into -1/2 4.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.253 * [backup-simplify]: Simplify (- 0) into 0 4.254 * [backup-simplify]: Simplify (+ 0 0) into 0 4.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.254 * [backup-simplify]: Simplify (+ 0 0) into 0 4.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 -1) (* 0 1)))) into 0 4.256 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 4.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.256 * [backup-simplify]: Simplify (+ 0 0) into 0 4.257 * [backup-simplify]: Simplify 0 into 0 4.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.257 * [backup-simplify]: Simplify (- 0) into 0 4.258 * [backup-simplify]: Simplify (+ 0 0) into 0 4.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.258 * [backup-simplify]: Simplify (+ 0 0) into 0 4.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))) into 0 4.260 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 4.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.261 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 4.261 * [backup-simplify]: Simplify -1/8 into -1/8 4.261 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 4.261 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (- (/ 1 (- x)) 1)))) into (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) 4.261 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) in (x) around 0 4.261 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) in x 4.261 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 4.261 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 4.261 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 4.261 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 4.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.261 * [taylor]: Taking taylor expansion of x in x 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify 1 into 1 4.262 * [backup-simplify]: Simplify (/ 1 1) into 1 4.262 * [taylor]: Taking taylor expansion of 1 in x 4.262 * [backup-simplify]: Simplify 1 into 1 4.262 * [backup-simplify]: Simplify (+ 1 0) into 1 4.262 * [backup-simplify]: Simplify (- 1) into -1 4.262 * [backup-simplify]: Simplify (sqrt 0) into 0 4.263 * [backup-simplify]: Simplify (- 1) into -1 4.264 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.264 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 4.264 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 4.264 * [taylor]: Taking taylor expansion of 1 in x 4.264 * [backup-simplify]: Simplify 1 into 1 4.264 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.264 * [taylor]: Taking taylor expansion of x in x 4.264 * [backup-simplify]: Simplify 0 into 0 4.264 * [backup-simplify]: Simplify 1 into 1 4.264 * [backup-simplify]: Simplify (/ 1 1) into 1 4.264 * [backup-simplify]: Simplify (- 1) into -1 4.264 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.265 * [backup-simplify]: Simplify (sqrt 0) into 0 4.265 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.265 * [taylor]: Taking taylor expansion of x in x 4.265 * [backup-simplify]: Simplify 0 into 0 4.266 * [backup-simplify]: Simplify 1 into 1 4.266 * [backup-simplify]: Simplify (/ 1 1) into 1 4.266 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) in x 4.266 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 4.266 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 4.266 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 4.266 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 4.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.266 * [taylor]: Taking taylor expansion of x in x 4.266 * [backup-simplify]: Simplify 0 into 0 4.266 * [backup-simplify]: Simplify 1 into 1 4.266 * [backup-simplify]: Simplify (/ 1 1) into 1 4.266 * [taylor]: Taking taylor expansion of 1 in x 4.266 * [backup-simplify]: Simplify 1 into 1 4.266 * [backup-simplify]: Simplify (+ 1 0) into 1 4.267 * [backup-simplify]: Simplify (- 1) into -1 4.267 * [backup-simplify]: Simplify (sqrt 0) into 0 4.267 * [backup-simplify]: Simplify (- 1) into -1 4.268 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.268 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 4.268 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 4.268 * [taylor]: Taking taylor expansion of 1 in x 4.268 * [backup-simplify]: Simplify 1 into 1 4.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.268 * [taylor]: Taking taylor expansion of x in x 4.268 * [backup-simplify]: Simplify 0 into 0 4.268 * [backup-simplify]: Simplify 1 into 1 4.268 * [backup-simplify]: Simplify (/ 1 1) into 1 4.268 * [backup-simplify]: Simplify (- 1) into -1 4.269 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.269 * [backup-simplify]: Simplify (sqrt 0) into 0 4.270 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 4.270 * [taylor]: Taking taylor expansion of x in x 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify 1 into 1 4.270 * [backup-simplify]: Simplify (/ 1 1) into 1 4.271 * [backup-simplify]: Simplify (* 0 0) into 0 4.271 * [backup-simplify]: Simplify (+ 0 0) into 0 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 4.271 * [backup-simplify]: Simplify (- 1) into -1 4.272 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.272 * [backup-simplify]: Simplify -1 into -1 4.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.272 * [backup-simplify]: Simplify (- 0) into 0 4.273 * [backup-simplify]: Simplify (+ 1 0) into 1 4.275 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.276 * [backup-simplify]: Simplify (+ 0 1) into 1 4.277 * [backup-simplify]: Simplify (- 1) into -1 4.279 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.280 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 4.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.281 * [backup-simplify]: Simplify (- 0) into 0 4.282 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.282 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.283 * [backup-simplify]: Simplify (- 0) into 0 4.284 * [backup-simplify]: Simplify (+ 0 0) into 0 4.288 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.289 * [backup-simplify]: Simplify (+ 0 0) into 0 4.290 * [backup-simplify]: Simplify (- 0) into 0 4.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.297 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 4.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.299 * [backup-simplify]: Simplify (- 0) into 0 4.300 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.300 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.301 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- x))) (+ (- +nan.0) (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ (* +nan.0 (/ 1 x)) (- +nan.0))) 4.301 * * * [progress]: simplifying candidates 4.301 * * * * [progress]: [ 1 / 62 ] simplifiying candidate # 4.301 * * * * [progress]: [ 2 / 62 ] simplifiying candidate # 4.301 * * * * [progress]: [ 3 / 62 ] simplifiying candidate # 4.301 * * * * [progress]: [ 4 / 62 ] simplifiying candidate # 4.301 * * * * [progress]: [ 5 / 62 ] simplifiying candidate # 4.301 * * * * [progress]: [ 6 / 62 ] simplifiying candidate # 4.302 * * * * [progress]: [ 7 / 62 ] simplifiying candidate # 4.302 * * * * [progress]: [ 8 / 62 ] simplifiying candidate # 4.302 * * * * [progress]: [ 9 / 62 ] simplifiying candidate # 4.302 * * * * [progress]: [ 10 / 62 ] simplifiying candidate # 4.302 * * * * [progress]: [ 11 / 62 ] simplifiying candidate # 4.302 * * * * [progress]: [ 12 / 62 ] simplifiying candidate # 4.302 * * * * [progress]: [ 13 / 62 ] simplifiying candidate # 4.302 * * * * [progress]: [ 14 / 62 ] simplifiying candidate # 4.302 * * * * [progress]: [ 15 / 62 ] simplifiying candidate # 4.302 * * * * [progress]: [ 16 / 62 ] simplifiying candidate # 4.302 * * * * [progress]: [ 17 / 62 ] simplifiying candidate # 4.302 * * * * [progress]: [ 18 / 62 ] simplifiying candidate # 4.302 * * * * [progress]: [ 19 / 62 ] simplifiying candidate # 4.302 * * * * [progress]: [ 20 / 62 ] simplifiying candidate # 4.302 * * * * [progress]: [ 21 / 62 ] simplifiying candidate # 4.303 * * * * [progress]: [ 22 / 62 ] simplifiying candidate # 4.303 * * * * [progress]: [ 23 / 62 ] simplifiying candidate # 4.303 * * * * [progress]: [ 24 / 62 ] simplifiying candidate # 4.303 * * * * [progress]: [ 25 / 62 ] simplifiying candidate # 4.303 * * * * [progress]: [ 26 / 62 ] simplifiying candidate # 4.303 * * * * [progress]: [ 27 / 62 ] simplifiying candidate # 4.303 * * * * [progress]: [ 28 / 62 ] simplifiying candidate # 4.303 * * * * [progress]: [ 29 / 62 ] simplifiying candidate # 4.303 * * * * [progress]: [ 30 / 62 ] simplifiying candidate # 4.303 * * * * [progress]: [ 31 / 62 ] simplifiying candidate # 4.303 * * * * [progress]: [ 32 / 62 ] simplifiying candidate # 4.303 * * * * [progress]: [ 33 / 62 ] simplifiying candidate # 4.303 * * * * [progress]: [ 34 / 62 ] simplifiying candidate # 4.303 * * * * [progress]: [ 35 / 62 ] simplifiying candidate # 4.303 * * * * [progress]: [ 36 / 62 ] simplifiying candidate # 4.303 * * * * [progress]: [ 37 / 62 ] simplifiying candidate # 4.304 * * * * [progress]: [ 38 / 62 ] simplifiying candidate # 4.304 * * * * [progress]: [ 39 / 62 ] simplifiying candidate # 4.304 * * * * [progress]: [ 40 / 62 ] simplifiying candidate # 4.304 * * * * [progress]: [ 41 / 62 ] simplifiying candidate # 4.304 * * * * [progress]: [ 42 / 62 ] simplifiying candidate # 4.304 * * * * [progress]: [ 43 / 62 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ x 1)) (sqrt (- x 1))))))))> 4.304 * * * * [progress]: [ 44 / 62 ] simplifiying candidate # 4.304 * * * * [progress]: [ 45 / 62 ] simplifiying candidate # 4.304 * * * * [progress]: [ 46 / 62 ] simplifiying candidate # 4.304 * * * * [progress]: [ 47 / 62 ] simplifiying candidate # 4.304 * * * * [progress]: [ 48 / 62 ] simplifiying candidate # 4.304 * * * * [progress]: [ 49 / 62 ] simplifiying candidate # 4.304 * * * * [progress]: [ 50 / 62 ] simplifiying candidate # 4.304 * * * * [progress]: [ 51 / 62 ] simplifiying candidate # 4.304 * * * * [progress]: [ 52 / 62 ] simplifiying candidate # 4.305 * * * * [progress]: [ 53 / 62 ] simplifiying candidate # 4.305 * * * * [progress]: [ 54 / 62 ] simplifiying candidate # 4.305 * * * * [progress]: [ 55 / 62 ] simplifiying candidate #real (real->posit16 (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))))))> 4.305 * * * * [progress]: [ 56 / 62 ] simplifiying candidate # 4.305 * * * * [progress]: [ 57 / 62 ] simplifiying candidate # 4.305 * * * * [progress]: [ 58 / 62 ] simplifiying candidate # 4.305 * * * * [progress]: [ 59 / 62 ] simplifiying candidate # 4.305 * * * * [progress]: [ 60 / 62 ] simplifiying candidate # 4.305 * * * * [progress]: [ 61 / 62 ] simplifiying candidate # 4.305 * * * * [progress]: [ 62 / 62 ] simplifiying candidate # 4.306 * [simplify]: Simplifying: (* (+ x 1) (- x 1)) (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (+ x 1) (- x 1)) (+ (log (sqrt (+ x 1))) (log (sqrt (- x 1)))) (log (* (sqrt (+ x 1)) (sqrt (- x 1)))) (exp (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))) (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1)))) (* (cbrt (* (sqrt (+ x 1)) (sqrt (- x 1)))) (cbrt (* (sqrt (+ x 1)) (sqrt (- x 1))))) (cbrt (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (* (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (+ x 1) (- x 1)) (sqrt (* (sqrt (+ x 1)) (sqrt (- x 1)))) (sqrt (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- (pow x 3) (pow 1 3)))) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ (* x x) (+ (* 1 1) (* x 1))))) (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- (* x x) (* 1 1)))) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ x 1))) (* (sqrt (- (* x x) (* 1 1))) (sqrt (- (pow x 3) (pow 1 3)))) (* (sqrt (- x 1)) (sqrt (+ (* x x) (+ (* 1 1) (* x 1))))) (* (sqrt (- (* x x) (* 1 1))) (sqrt (- (* x x) (* 1 1)))) (* (sqrt (- x 1)) (sqrt (+ x 1))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (+ x 1)) (* (cbrt (sqrt (- x 1))) (cbrt (sqrt (- x 1))))) (* (sqrt (+ x 1)) (sqrt (* (cbrt (- x 1)) (cbrt (- x 1))))) (* (sqrt (+ x 1)) (sqrt (sqrt (- x 1)))) (* (sqrt (+ x 1)) (sqrt 1)) (* (sqrt (+ x 1)) (sqrt (+ (sqrt x) (sqrt 1)))) (* (sqrt (+ x 1)) (sqrt (+ (sqrt x) 1))) (* (sqrt (+ x 1)) (sqrt (+ (sqrt x) 1))) (* (sqrt (+ x 1)) (sqrt 1)) (* (sqrt (+ x 1)) (sqrt (sqrt (- x 1)))) (* (sqrt (+ x 1)) 1) (* (cbrt (sqrt (+ x 1))) (sqrt (- x 1))) (* (sqrt (cbrt (+ x 1))) (sqrt (- x 1))) (* (sqrt (sqrt (+ x 1))) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (sqrt (+ x 1))) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- (pow x 3) (pow 1 3)))) (* (sqrt (+ x 1)) (sqrt (- (* x x) (* 1 1)))) (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- x 1))) (* (sqrt (- (* x x) (* 1 1))) (sqrt (- x 1))) (real->posit16 (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (exp x) (exp (* (sqrt (+ x 1)) (sqrt (- x 1))))) (log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (exp (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (* (cbrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (cbrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))))) (cbrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (* (* (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))) (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (sqrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (sqrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (+ (pow x 3) (pow (* (sqrt (+ x 1)) (sqrt (- x 1))) 3)) (+ (* x x) (- (* (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* x (* (sqrt (+ x 1)) (sqrt (- x 1)))))) (- (* x x) (* (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))))) (- x (* (sqrt (+ x 1)) (sqrt (- x 1)))) (real->posit16 (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (- x (+ (* +nan.0 (/ 1 x)) (- +nan.0))) 4.308 * * [simplify]: iteration 1: (132 enodes) 4.374 * * [simplify]: iteration 2: (295 enodes) 4.488 * * [simplify]: iteration 3: (693 enodes) 4.832 * * [simplify]: iteration 4: (1834 enodes) 7.829 * * [simplify]: Extracting #0: cost 45 inf + 0 7.831 * * [simplify]: Extracting #1: cost 312 inf + 0 7.836 * * [simplify]: Extracting #2: cost 866 inf + 1440 7.860 * * [simplify]: Extracting #3: cost 776 inf + 57670 7.930 * * [simplify]: Extracting #4: cost 150 inf + 227323 8.025 * * [simplify]: Extracting #5: cost 2 inf + 278328 8.104 * * [simplify]: Extracting #6: cost 0 inf + 278636 8.202 * [simplify]: Simplified to: (- (* x x) 1) (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (- (* x x) 1) (log (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (log (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (exp (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (* (* (sqrt (+ 1 x)) (+ 1 x)) (* (+ x -1) (sqrt (+ x -1)))) (* (cbrt (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (cbrt (* (sqrt (+ 1 x)) (sqrt (+ x -1))))) (cbrt (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (* (* (sqrt (+ 1 x)) (+ 1 x)) (* (+ x -1) (sqrt (+ x -1)))) (- (* x x) 1) (sqrt (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (sqrt (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (* (sqrt (+ (* (* x x) x) -1)) (sqrt (+ 1 (* (* x x) x)))) (* (sqrt (+ (- (* x x) x) 1)) (sqrt (+ (+ 1 x) (* x x)))) (* (sqrt (- (* x x) 1)) (sqrt (+ 1 (* (* x x) x)))) (* (sqrt (+ (- (* x x) x) 1)) (sqrt (+ 1 x))) (* (sqrt (+ (* (* x x) x) -1)) (sqrt (- (* x x) 1))) (* (sqrt (+ (+ 1 x) (* x x))) (sqrt (+ x -1))) (- (* x x) 1) (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (+ 1 x)) (* (cbrt (sqrt (+ x -1))) (cbrt (sqrt (+ x -1))))) (* (sqrt (+ 1 x)) (fabs (cbrt (+ x -1)))) (* (sqrt (sqrt (+ x -1))) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (* (sqrt (+ 1 x)) (sqrt (+ 1 (sqrt x)))) (* (sqrt (+ 1 x)) (sqrt (+ 1 (sqrt x)))) (* (sqrt (+ 1 x)) (sqrt (+ 1 (sqrt x)))) (sqrt (+ 1 x)) (* (sqrt (sqrt (+ x -1))) (sqrt (+ 1 x))) (sqrt (+ 1 x)) (* (cbrt (sqrt (+ 1 x))) (sqrt (+ x -1))) (* (sqrt (cbrt (+ 1 x))) (sqrt (+ x -1))) (* (sqrt (sqrt (+ 1 x))) (sqrt (+ x -1))) (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (* (sqrt (sqrt (+ 1 x))) (sqrt (+ x -1))) (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (* (sqrt (+ 1 x)) (sqrt (+ (* (* x x) x) -1))) (* (sqrt (+ 1 x)) (sqrt (- (* x x) 1))) (* (sqrt (+ 1 (* (* x x) x))) (sqrt (+ x -1))) (* (sqrt (- (* x x) 1)) (sqrt (+ x -1))) (real->posit16 (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (exp (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) (log (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) (exp (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) (* (cbrt (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) (cbrt (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x))) (cbrt (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) (* (* (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x) (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) (sqrt (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) (+ (* (* x x) x) (* (* (sqrt (+ 1 x)) (+ 1 x)) (* (+ x -1) (sqrt (+ x -1))))) (+ (* x x) (* (- (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x) (* (sqrt (+ 1 x)) (sqrt (+ x -1))))) (- (- (* x x) -1) (* x x)) (- x (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (real->posit16 (+ (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) (+ (+ (/ x (/ (/ (sqrt -1) x) 1/2)) (/ (* (* x x) 1/8) (/ (sqrt -1) (* x x)))) (sqrt -1)) (+ (- x (/ (/ (/ 1/8 x) x) x)) (/ -1/2 x)) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (* x x))) (+ (+ x (sqrt -1)) (/ x (/ (/ (sqrt -1) x) 1/2))) (+ (/ -1/8 (* (* x x) x)) (- (* x 2) (/ 1/2 x))) (+ (- +nan.0 (/ +nan.0 x)) x) 8.206 * * * [progress]: adding candidates to table 8.690 * [progress]: [Phase 3 of 3] Extracting. 8.693 * [simplify]: Simplifying: (log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) 8.693 * * [simplify]: iteration 1: (9 enodes) 8.694 * * [simplify]: iteration 2: (14 enodes) 8.694 * * [simplify]: Extracting #0: cost 1 inf + 0 8.694 * * [simplify]: Extracting #1: cost 2 inf + 0 8.694 * * [simplify]: Extracting #2: cost 4 inf + 0 8.694 * * [simplify]: Extracting #3: cost 5 inf + 1 8.694 * * [simplify]: Extracting #4: cost 7 inf + 1 8.694 * * [simplify]: Extracting #5: cost 8 inf + 1 8.694 * * [simplify]: Extracting #6: cost 0 inf + 1006 8.694 * [simplify]: Simplified to: (log (+ x (* (sqrt (+ 1 x)) (sqrt (- x 1))))) 13.272 * [regime-testing]: Baseline error score: 0.05674546766152013 13.276 * [regime-testing]: Oracle error score: 0.05674546766152013 13.277 * [regime-testing]: End program error score: 0.05674546766152013