0.854 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.485 * * * [progress]: [2/2] Setting up program. 0.495 * [progress]: [Phase 2 of 3] Improving. 0.495 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.499 * [simplify]: Simplifying: (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) 0.500 * * [simplify]: iteration 0: 10 enodes 0.512 * * [simplify]: iteration 1: 24 enodes 0.520 * * [simplify]: iteration 2: 30 enodes 0.530 * * [simplify]: iteration 3: 53 enodes 0.549 * * [simplify]: iteration 4: 108 enodes 0.624 * * [simplify]: iteration 5: 301 enodes 0.795 * * [simplify]: iteration 6: 894 enodes 2.042 * * [simplify]: iteration 7: 3702 enodes 3.284 * * [simplify]: iteration complete: 5000 enodes 3.285 * * [simplify]: Extracting #0: cost 1 inf + 0 3.285 * * [simplify]: Extracting #1: cost 4 inf + 0 3.286 * * [simplify]: Extracting #2: cost 158 inf + 1 3.288 * * [simplify]: Extracting #3: cost 535 inf + 6 3.296 * * [simplify]: Extracting #4: cost 684 inf + 13496 3.311 * * [simplify]: Extracting #5: cost 612 inf + 67721 3.388 * * [simplify]: Extracting #6: cost 266 inf + 293890 3.490 * * [simplify]: Extracting #7: cost 15 inf + 473744 3.590 * * [simplify]: Extracting #8: cost 0 inf + 472314 3.710 * * [simplify]: Extracting #9: cost 0 inf + 469615 3.819 * [simplify]: Simplified to: (sqrt (+ 1 (exp x))) 3.825 * * [progress]: iteration 1 / 4 3.825 * * * [progress]: picking best candidate 3.828 * * * * [pick]: Picked # 3.828 * * * [progress]: localizing error 3.837 * * * [progress]: generating rewritten candidates 3.837 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.847 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.854 * * * [progress]: generating series expansions 3.854 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.858 * [backup-simplify]: Simplify (sqrt (+ 1 (exp x))) into (sqrt (+ (exp x) 1)) 3.858 * [approximate]: Taking taylor expansion of (sqrt (+ (exp x) 1)) in (x) around 0 3.859 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1)) in x 3.859 * [taylor]: Taking taylor expansion of (+ (exp x) 1) in x 3.859 * [taylor]: Taking taylor expansion of (exp x) in x 3.859 * [taylor]: Taking taylor expansion of x in x 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify 1 into 1 3.859 * [backup-simplify]: Simplify (exp 0) into 1 3.859 * [taylor]: Taking taylor expansion of 1 in x 3.859 * [backup-simplify]: Simplify 1 into 1 3.860 * [backup-simplify]: Simplify (+ 1 1) into 2 3.860 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.861 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 3.862 * [backup-simplify]: Simplify (+ 1 0) into 1 3.863 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) 3.863 * [taylor]: Taking taylor expansion of (sqrt (+ (exp x) 1)) in x 3.863 * [taylor]: Taking taylor expansion of (+ (exp x) 1) in x 3.863 * [taylor]: Taking taylor expansion of (exp x) in x 3.863 * [taylor]: Taking taylor expansion of x in x 3.863 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify 1 into 1 3.863 * [backup-simplify]: Simplify (exp 0) into 1 3.863 * [taylor]: Taking taylor expansion of 1 in x 3.863 * [backup-simplify]: Simplify 1 into 1 3.863 * [backup-simplify]: Simplify (+ 1 1) into 2 3.863 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.864 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 3.864 * [backup-simplify]: Simplify (+ 1 0) into 1 3.865 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) 3.866 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.866 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 3.868 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 3.868 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.871 * [backup-simplify]: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 3.875 * [backup-simplify]: Simplify (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 3.880 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) 3.880 * [backup-simplify]: Simplify (sqrt (+ 1 (exp (/ 1 x)))) into (sqrt (+ (exp (/ 1 x)) 1)) 3.880 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1)) in (x) around 0 3.880 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1)) in x 3.880 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x 3.880 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.880 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.880 * [taylor]: Taking taylor expansion of x in x 3.880 * [backup-simplify]: Simplify 0 into 0 3.880 * [backup-simplify]: Simplify 1 into 1 3.881 * [backup-simplify]: Simplify (/ 1 1) into 1 3.881 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.881 * [taylor]: Taking taylor expansion of 1 in x 3.881 * [backup-simplify]: Simplify 1 into 1 3.881 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 3.881 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) 3.881 * [backup-simplify]: Simplify (+ 0 0) into 0 3.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.881 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ 1 x)) 1)) in x 3.881 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x 3.881 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.881 * [taylor]: Taking taylor expansion of x in x 3.881 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify 1 into 1 3.882 * [backup-simplify]: Simplify (/ 1 1) into 1 3.882 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.882 * [taylor]: Taking taylor expansion of 1 in x 3.882 * [backup-simplify]: Simplify 1 into 1 3.882 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 3.882 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) 3.882 * [backup-simplify]: Simplify (+ 0 0) into 0 3.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.882 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) 3.882 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify (+ 0 0) into 0 3.883 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify (+ 0 0) into 0 3.892 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.892 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify (+ 0 0) into 0 3.894 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify (+ 0 0) into 0 3.895 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.895 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify (+ 0 0) into 0 3.896 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 (/ 1 x))) 1)) into (sqrt (+ (exp x) 1)) 3.896 * [backup-simplify]: Simplify (sqrt (+ 1 (exp (/ 1 (- x))))) into (sqrt (+ (exp (/ -1 x)) 1)) 3.896 * [approximate]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1)) in (x) around 0 3.896 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1)) in x 3.896 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in x 3.896 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.896 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.896 * [taylor]: Taking taylor expansion of -1 in x 3.896 * [backup-simplify]: Simplify -1 into -1 3.896 * [taylor]: Taking taylor expansion of x in x 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify 1 into 1 3.896 * [backup-simplify]: Simplify (/ -1 1) into -1 3.897 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.897 * [taylor]: Taking taylor expansion of 1 in x 3.897 * [backup-simplify]: Simplify 1 into 1 3.897 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 3.897 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) 3.897 * [backup-simplify]: Simplify (+ 0 0) into 0 3.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.897 * [taylor]: Taking taylor expansion of (sqrt (+ (exp (/ -1 x)) 1)) in x 3.897 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in x 3.897 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.897 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.897 * [taylor]: Taking taylor expansion of -1 in x 3.897 * [backup-simplify]: Simplify -1 into -1 3.897 * [taylor]: Taking taylor expansion of x in x 3.897 * [backup-simplify]: Simplify 0 into 0 3.897 * [backup-simplify]: Simplify 1 into 1 3.897 * [backup-simplify]: Simplify (/ -1 1) into -1 3.898 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.898 * [taylor]: Taking taylor expansion of 1 in x 3.898 * [backup-simplify]: Simplify 1 into 1 3.898 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 3.898 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) 3.898 * [backup-simplify]: Simplify (+ 0 0) into 0 3.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.898 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) 3.898 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify (+ 0 0) into 0 3.899 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify (+ 0 0) into 0 3.900 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.900 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify (+ 0 0) into 0 3.902 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.902 * [backup-simplify]: Simplify 0 into 0 3.902 * [backup-simplify]: Simplify (+ 0 0) into 0 3.903 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.903 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify (+ 0 0) into 0 3.904 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (sqrt (+ (exp x) 1)) 3.905 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.905 * [backup-simplify]: Simplify (+ 1 (exp x)) into (+ (exp x) 1) 3.905 * [approximate]: Taking taylor expansion of (+ (exp x) 1) in (x) around 0 3.905 * [taylor]: Taking taylor expansion of (+ (exp x) 1) in x 3.905 * [taylor]: Taking taylor expansion of (exp x) in x 3.905 * [taylor]: Taking taylor expansion of x in x 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify 1 into 1 3.905 * [backup-simplify]: Simplify (exp 0) into 1 3.905 * [taylor]: Taking taylor expansion of 1 in x 3.905 * [backup-simplify]: Simplify 1 into 1 3.905 * [taylor]: Taking taylor expansion of (+ (exp x) 1) in x 3.905 * [taylor]: Taking taylor expansion of (exp x) in x 3.905 * [taylor]: Taking taylor expansion of x in x 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify 1 into 1 3.905 * [backup-simplify]: Simplify (exp 0) into 1 3.905 * [taylor]: Taking taylor expansion of 1 in x 3.905 * [backup-simplify]: Simplify 1 into 1 3.906 * [backup-simplify]: Simplify (+ 1 1) into 2 3.906 * [backup-simplify]: Simplify 2 into 2 3.907 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 3.907 * [backup-simplify]: Simplify (+ 1 0) into 1 3.907 * [backup-simplify]: Simplify 1 into 1 3.909 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 3.909 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 3.910 * [backup-simplify]: Simplify 1/2 into 1/2 3.910 * [backup-simplify]: Simplify (+ (* 1/2 (pow x 2)) (+ (* 1 x) 2)) into (+ x (+ (* 1/2 (pow x 2)) 2)) 3.910 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 3.910 * [approximate]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in (x) around 0 3.910 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x 3.910 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.910 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.910 * [taylor]: Taking taylor expansion of x in x 3.910 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify 1 into 1 3.911 * [backup-simplify]: Simplify (/ 1 1) into 1 3.911 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.911 * [taylor]: Taking taylor expansion of 1 in x 3.911 * [backup-simplify]: Simplify 1 into 1 3.911 * [taylor]: Taking taylor expansion of (+ (exp (/ 1 x)) 1) in x 3.911 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 3.911 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.911 * [taylor]: Taking taylor expansion of x in x 3.911 * [backup-simplify]: Simplify 0 into 0 3.911 * [backup-simplify]: Simplify 1 into 1 3.911 * [backup-simplify]: Simplify (/ 1 1) into 1 3.911 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 3.911 * [taylor]: Taking taylor expansion of 1 in x 3.911 * [backup-simplify]: Simplify 1 into 1 3.911 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 3.912 * [backup-simplify]: Simplify (+ (exp (/ 1 x)) 1) into (+ (exp (/ 1 x)) 1) 3.912 * [backup-simplify]: Simplify (+ 0 0) into 0 3.912 * [backup-simplify]: Simplify 0 into 0 3.912 * [backup-simplify]: Simplify (+ 0 0) into 0 3.912 * [backup-simplify]: Simplify 0 into 0 3.913 * [backup-simplify]: Simplify (+ 0 0) into 0 3.913 * [backup-simplify]: Simplify 0 into 0 3.913 * [backup-simplify]: Simplify (+ 0 0) into 0 3.913 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify (+ 0 0) into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify (+ 0 0) into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify (+ (exp (/ 1 (/ 1 x))) 1) into (+ (exp x) 1) 3.914 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 (- x)))) into (+ (exp (/ -1 x)) 1) 3.914 * [approximate]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in (x) around 0 3.915 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in x 3.915 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.915 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.915 * [taylor]: Taking taylor expansion of -1 in x 3.915 * [backup-simplify]: Simplify -1 into -1 3.915 * [taylor]: Taking taylor expansion of x in x 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify 1 into 1 3.915 * [backup-simplify]: Simplify (/ -1 1) into -1 3.915 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.915 * [taylor]: Taking taylor expansion of 1 in x 3.915 * [backup-simplify]: Simplify 1 into 1 3.915 * [taylor]: Taking taylor expansion of (+ (exp (/ -1 x)) 1) in x 3.915 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 3.915 * [taylor]: Taking taylor expansion of (/ -1 x) in x 3.915 * [taylor]: Taking taylor expansion of -1 in x 3.915 * [backup-simplify]: Simplify -1 into -1 3.915 * [taylor]: Taking taylor expansion of x in x 3.916 * [backup-simplify]: Simplify 0 into 0 3.916 * [backup-simplify]: Simplify 1 into 1 3.916 * [backup-simplify]: Simplify (/ -1 1) into -1 3.917 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 3.917 * [taylor]: Taking taylor expansion of 1 in x 3.917 * [backup-simplify]: Simplify 1 into 1 3.917 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 3.917 * [backup-simplify]: Simplify (+ (exp (/ -1 x)) 1) into (+ (exp (/ -1 x)) 1) 3.918 * [backup-simplify]: Simplify (+ 0 0) into 0 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify (+ 0 0) into 0 3.918 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify (+ 0 0) into 0 3.919 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify (+ 0 0) into 0 3.919 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify (+ 0 0) into 0 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify (+ 0 0) into 0 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify (+ (exp (/ -1 (/ 1 (- x)))) 1) into (+ (exp x) 1) 3.921 * * * [progress]: simplifying candidates 3.921 * * * * [progress]: [ 1 / 46 ] simplifiying candidate # 3.921 * * * * [progress]: [ 2 / 46 ] simplifiying candidate # 3.921 * * * * [progress]: [ 3 / 46 ] simplifiying candidate # 3.921 * * * * [progress]: [ 4 / 46 ] simplifiying candidate # 3.921 * * * * [progress]: [ 5 / 46 ] simplifiying candidate # 3.921 * * * * [progress]: [ 6 / 46 ] simplifiying candidate # 3.921 * * * * [progress]: [ 7 / 46 ] simplifiying candidate # 3.921 * * * * [progress]: [ 8 / 46 ] simplifiying candidate # 3.922 * * * * [progress]: [ 9 / 46 ] simplifiying candidate # 3.922 * * * * [progress]: [ 10 / 46 ] simplifiying candidate # 3.922 * * * * [progress]: [ 11 / 46 ] simplifiying candidate # 3.922 * * * * [progress]: [ 12 / 46 ] simplifiying candidate # 3.922 * * * * [progress]: [ 13 / 46 ] simplifiying candidate # 3.922 * * * * [progress]: [ 14 / 46 ] simplifiying candidate # 3.922 * * * * [progress]: [ 15 / 46 ] simplifiying candidate # 3.922 * * * * [progress]: [ 16 / 46 ] simplifiying candidate # 3.922 * * * * [progress]: [ 17 / 46 ] simplifiying candidate # 3.922 * * * * [progress]: [ 18 / 46 ] simplifiying candidate # 3.922 * * * * [progress]: [ 19 / 46 ] simplifiying candidate # 3.922 * * * * [progress]: [ 20 / 46 ] simplifiying candidate # 3.922 * * * * [progress]: [ 21 / 46 ] simplifiying candidate # 3.922 * * * * [progress]: [ 22 / 46 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 (exp x))))))> 3.922 * * * * [progress]: [ 23 / 46 ] simplifiying candidate # 3.923 * * * * [progress]: [ 24 / 46 ] simplifiying candidate # 3.923 * * * * [progress]: [ 25 / 46 ] simplifiying candidate # 3.923 * * * * [progress]: [ 26 / 46 ] simplifiying candidate # 3.923 * * * * [progress]: [ 27 / 46 ] simplifiying candidate # 3.923 * * * * [progress]: [ 28 / 46 ] simplifiying candidate # 3.923 * * * * [progress]: [ 29 / 46 ] simplifiying candidate # 3.923 * * * * [progress]: [ 30 / 46 ] simplifiying candidate # 3.923 * * * * [progress]: [ 31 / 46 ] simplifiying candidate # 3.923 * * * * [progress]: [ 32 / 46 ] simplifiying candidate # 3.923 * * * * [progress]: [ 33 / 46 ] simplifiying candidate # 3.923 * * * * [progress]: [ 34 / 46 ] simplifiying candidate # 3.923 * * * * [progress]: [ 35 / 46 ] simplifiying candidate # 3.923 * * * * [progress]: [ 36 / 46 ] simplifiying candidate # 3.923 * * * * [progress]: [ 37 / 46 ] simplifiying candidate # 3.923 * * * * [progress]: [ 38 / 46 ] simplifiying candidate # 3.923 * * * * [progress]: [ 39 / 46 ] simplifiying candidate #real (real->posit16 (+ 1 (exp x))))))> 3.924 * * * * [progress]: [ 40 / 46 ] simplifiying candidate # 3.924 * * * * [progress]: [ 41 / 46 ] simplifiying candidate # 3.924 * * * * [progress]: [ 42 / 46 ] simplifiying candidate # 3.924 * * * * [progress]: [ 43 / 46 ] simplifiying candidate # 3.924 * * * * [progress]: [ 44 / 46 ] simplifiying candidate # 3.924 * * * * [progress]: [ 45 / 46 ] simplifiying candidate # 3.924 * * * * [progress]: [ 46 / 46 ] simplifiying candidate # 3.925 * [simplify]: Simplifying: (expm1 (sqrt (+ 1 (exp x)))) (log1p (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x)))) (exp (sqrt (+ 1 (exp x)))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (cbrt (sqrt (+ 1 (exp x)))) (* (* (sqrt (+ 1 (exp x))) (sqrt (+ 1 (exp x)))) (sqrt (+ 1 (exp x)))) (sqrt (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x))))) (sqrt (cbrt (+ 1 (exp x)))) (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (+ 1 (exp x)))) (sqrt 1) (sqrt (+ 1 (exp x))) (sqrt 1) (sqrt (+ 1 (exp x))) (sqrt (+ (pow 1 3) (pow (exp x) 3))) (sqrt (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x))))) (sqrt (- (* 1 1) (* (exp x) (exp x)))) (sqrt (- 1 (exp x))) (/ 1 2) (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (+ 1 (exp x)))) (real->posit16 (sqrt (+ 1 (exp x)))) (expm1 (+ 1 (exp x))) (log1p (+ 1 (exp x))) (* (exp 1) (exp (exp x))) (log (+ 1 (exp x))) (exp (+ 1 (exp x))) (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (cbrt (+ 1 (exp x))) (* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x))) (sqrt (+ 1 (exp x))) (sqrt (+ 1 (exp x))) (+ (pow 1 3) (pow (exp x) 3)) (+ (* 1 1) (- (* (exp x) (exp x)) (* 1 (exp x)))) (- (* 1 1) (* (exp x) (exp x))) (- 1 (exp x)) (+ 1 (exp x)) (real->posit16 (+ 1 (exp x))) (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1)) (+ x (+ (* 1/2 (pow x 2)) 2)) (+ (exp x) 1) (+ (exp x) 1) 3.926 * * [simplify]: iteration 0: 67 enodes 3.958 * * [simplify]: iteration 1: 156 enodes 4.038 * * [simplify]: iteration 2: 542 enodes 4.476 * * [simplify]: iteration 3: 1371 enodes 5.775 * * [simplify]: iteration 4: 4436 enodes 6.577 * * [simplify]: iteration complete: 5000 enodes 6.577 * * [simplify]: Extracting #0: cost 33 inf + 0 6.578 * * [simplify]: Extracting #1: cost 169 inf + 2 6.584 * * [simplify]: Extracting #2: cost 679 inf + 1838 6.605 * * [simplify]: Extracting #3: cost 600 inf + 37203 6.655 * * [simplify]: Extracting #4: cost 189 inf + 127006 6.706 * * [simplify]: Extracting #5: cost 12 inf + 177541 6.745 * * [simplify]: Extracting #6: cost 1 inf + 179916 6.810 * * [simplify]: Extracting #7: cost 0 inf + 180429 6.876 * [simplify]: Simplified to: (expm1 (sqrt (+ 1 (exp x)))) (log1p (sqrt (+ 1 (exp x)))) (log (sqrt (+ 1 (exp x)))) (exp (sqrt (+ 1 (exp x)))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (cbrt (sqrt (+ 1 (exp x)))) (* (sqrt (+ 1 (exp x))) (+ 1 (exp x))) (fabs (cbrt (+ 1 (exp x)))) (sqrt (cbrt (+ 1 (exp x)))) (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (+ 1 (exp x)))) 1 (sqrt (+ 1 (exp x))) 1 (sqrt (+ 1 (exp x))) (sqrt (+ 1 (exp (* 3 x)))) (sqrt (- (fma (exp x) (exp x) 1) (exp x))) (sqrt (- 1 (exp (+ x x)))) (sqrt (- (expm1 x))) 1/2 (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (+ 1 (exp x)))) (real->posit16 (sqrt (+ 1 (exp x)))) (expm1 (+ 1 (exp x))) (log1p (+ 1 (exp x))) (* (exp (exp x)) E) (log1p (exp x)) (* (exp (exp x)) E) (* (cbrt (+ 1 (exp x))) (cbrt (+ 1 (exp x)))) (cbrt (+ 1 (exp x))) (* (* (+ 1 (exp x)) (+ 1 (exp x))) (+ 1 (exp x))) (sqrt (+ 1 (exp x))) (sqrt (+ 1 (exp x))) (+ 1 (exp (* 3 x))) (- (fma (exp x) (exp x) 1) (exp x)) (- 1 (exp (+ x x))) (- (expm1 x)) (+ 1 (exp x)) (real->posit16 (+ 1 (exp x))) (+ (fma (/ (* x x) (sqrt 2)) 3/16 (/ (/ x (sqrt 2)) 2)) (sqrt 2)) (sqrt (+ 1 (exp x))) (sqrt (+ 1 (exp x))) (+ (fma 1/2 (* x x) x) 2) (+ 1 (exp x)) (+ 1 (exp x)) 6.877 * * * [progress]: adding candidates to table 7.101 * * [progress]: iteration 2 / 4 7.101 * * * [progress]: picking best candidate 7.108 * * * * [pick]: Picked # 7.108 * * * [progress]: localizing error 7.117 * * * [progress]: generating rewritten candidates 7.117 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 7.120 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 7.120 * * * [progress]: generating series expansions 7.120 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 7.121 * [backup-simplify]: Simplify (sqrt (exp x)) into (sqrt (exp x)) 7.121 * [approximate]: Taking taylor expansion of (sqrt (exp x)) in (x) around 0 7.121 * [taylor]: Taking taylor expansion of (sqrt (exp x)) in x 7.121 * [taylor]: Taking taylor expansion of (exp x) in x 7.121 * [taylor]: Taking taylor expansion of x in x 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify 1 into 1 7.121 * [backup-simplify]: Simplify (exp 0) into 1 7.121 * [backup-simplify]: Simplify (sqrt 1) into 1 7.122 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 7.122 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.122 * [taylor]: Taking taylor expansion of (sqrt (exp x)) in x 7.122 * [taylor]: Taking taylor expansion of (exp x) in x 7.122 * [taylor]: Taking taylor expansion of x in x 7.122 * [backup-simplify]: Simplify 0 into 0 7.122 * [backup-simplify]: Simplify 1 into 1 7.122 * [backup-simplify]: Simplify (exp 0) into 1 7.123 * [backup-simplify]: Simplify (sqrt 1) into 1 7.123 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 7.124 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.124 * [backup-simplify]: Simplify 1 into 1 7.124 * [backup-simplify]: Simplify 1/2 into 1/2 7.125 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 7.125 * [backup-simplify]: Simplify (/ (- 1/2 (pow 1/2 2) (+)) (* 2 1)) into 1/8 7.125 * [backup-simplify]: Simplify 1/8 into 1/8 7.126 * [backup-simplify]: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) into (+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1)) 7.126 * [backup-simplify]: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) 7.126 * [approximate]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in (x) around 0 7.126 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x 7.126 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 7.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.126 * [taylor]: Taking taylor expansion of x in x 7.126 * [backup-simplify]: Simplify 0 into 0 7.126 * [backup-simplify]: Simplify 1 into 1 7.126 * [backup-simplify]: Simplify (/ 1 1) into 1 7.126 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 7.126 * [backup-simplify]: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) 7.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 x))))) into 0 7.126 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x 7.126 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 7.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.126 * [taylor]: Taking taylor expansion of x in x 7.126 * [backup-simplify]: Simplify 0 into 0 7.126 * [backup-simplify]: Simplify 1 into 1 7.127 * [backup-simplify]: Simplify (/ 1 1) into 1 7.127 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 7.127 * [backup-simplify]: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) 7.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 x))))) into 0 7.127 * [backup-simplify]: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) 7.127 * [backup-simplify]: Simplify 0 into 0 7.127 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 x))))) into 0 7.127 * [backup-simplify]: Simplify 0 into 0 7.128 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 7.128 * [backup-simplify]: Simplify 0 into 0 7.129 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 7.129 * [backup-simplify]: Simplify 0 into 0 7.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 7.129 * [backup-simplify]: Simplify 0 into 0 7.130 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 7.130 * [backup-simplify]: Simplify 0 into 0 7.130 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (/ 1 x)))) into (sqrt (exp x)) 7.130 * [backup-simplify]: Simplify (sqrt (exp (/ 1 (- x)))) into (sqrt (exp (/ -1 x))) 7.130 * [approximate]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in (x) around 0 7.130 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in x 7.130 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 7.130 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.130 * [taylor]: Taking taylor expansion of -1 in x 7.130 * [backup-simplify]: Simplify -1 into -1 7.130 * [taylor]: Taking taylor expansion of x in x 7.130 * [backup-simplify]: Simplify 0 into 0 7.130 * [backup-simplify]: Simplify 1 into 1 7.130 * [backup-simplify]: Simplify (/ -1 1) into -1 7.130 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 7.130 * [backup-simplify]: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) 7.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ -1 x))))) into 0 7.131 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in x 7.131 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 7.131 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.131 * [taylor]: Taking taylor expansion of -1 in x 7.131 * [backup-simplify]: Simplify -1 into -1 7.131 * [taylor]: Taking taylor expansion of x in x 7.131 * [backup-simplify]: Simplify 0 into 0 7.131 * [backup-simplify]: Simplify 1 into 1 7.131 * [backup-simplify]: Simplify (/ -1 1) into -1 7.131 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 7.131 * [backup-simplify]: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) 7.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ -1 x))))) into 0 7.131 * [backup-simplify]: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) 7.131 * [backup-simplify]: Simplify 0 into 0 7.132 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ -1 x))))) into 0 7.132 * [backup-simplify]: Simplify 0 into 0 7.132 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 7.132 * [backup-simplify]: Simplify 0 into 0 7.133 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 7.133 * [backup-simplify]: Simplify 0 into 0 7.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 7.134 * [backup-simplify]: Simplify 0 into 0 7.134 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 7.134 * [backup-simplify]: Simplify 0 into 0 7.134 * [backup-simplify]: Simplify (sqrt (exp (/ -1 (/ 1 (- x))))) into (sqrt (exp x)) 7.134 * * * * [progress]: [ 2 / 2 ] generating series at (2) 7.134 * [backup-simplify]: Simplify (hypot 1 (sqrt (exp x))) into (hypot 1 (sqrt (exp x))) 7.134 * [approximate]: Taking taylor expansion of (hypot 1 (sqrt (exp x))) in (x) around 0 7.134 * [taylor]: Taking taylor expansion of (hypot 1 (sqrt (exp x))) in x 7.136 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (sqrt (exp x)) (sqrt (exp x))))) 7.136 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (sqrt (exp x)) (sqrt (exp x)))) in x 7.136 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.136 * [taylor]: Taking taylor expansion of 1 in x 7.136 * [backup-simplify]: Simplify 1 into 1 7.136 * [taylor]: Taking taylor expansion of 1 in x 7.136 * [backup-simplify]: Simplify 1 into 1 7.136 * [taylor]: Taking taylor expansion of (* (sqrt (exp x)) (sqrt (exp x))) in x 7.136 * [taylor]: Taking taylor expansion of (sqrt (exp x)) in x 7.136 * [taylor]: Taking taylor expansion of (exp x) in x 7.136 * [taylor]: Taking taylor expansion of x in x 7.136 * [backup-simplify]: Simplify 0 into 0 7.136 * [backup-simplify]: Simplify 1 into 1 7.136 * [backup-simplify]: Simplify (exp 0) into 1 7.136 * [backup-simplify]: Simplify (sqrt 1) into 1 7.137 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 7.137 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.137 * [taylor]: Taking taylor expansion of (sqrt (exp x)) in x 7.137 * [taylor]: Taking taylor expansion of (exp x) in x 7.137 * [taylor]: Taking taylor expansion of x in x 7.137 * [backup-simplify]: Simplify 0 into 0 7.138 * [backup-simplify]: Simplify 1 into 1 7.138 * [backup-simplify]: Simplify (exp 0) into 1 7.138 * [backup-simplify]: Simplify (sqrt 1) into 1 7.139 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 7.140 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.141 * [backup-simplify]: Simplify (* 1 1) into 1 7.141 * [backup-simplify]: Simplify (* 1 1) into 1 7.141 * [backup-simplify]: Simplify (+ 1 1) into 2 7.141 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 7.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.142 * [backup-simplify]: Simplify (+ (* 1 1/2) (* 1/2 1)) into 1 7.143 * [backup-simplify]: Simplify (+ 0 1) into 1 7.144 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) 7.144 * [taylor]: Taking taylor expansion of (hypot 1 (sqrt (exp x))) in x 7.144 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (sqrt (exp x)) (sqrt (exp x))))) 7.144 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (sqrt (exp x)) (sqrt (exp x)))) in x 7.144 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.144 * [taylor]: Taking taylor expansion of 1 in x 7.144 * [backup-simplify]: Simplify 1 into 1 7.144 * [taylor]: Taking taylor expansion of 1 in x 7.144 * [backup-simplify]: Simplify 1 into 1 7.144 * [taylor]: Taking taylor expansion of (* (sqrt (exp x)) (sqrt (exp x))) in x 7.144 * [taylor]: Taking taylor expansion of (sqrt (exp x)) in x 7.144 * [taylor]: Taking taylor expansion of (exp x) in x 7.144 * [taylor]: Taking taylor expansion of x in x 7.144 * [backup-simplify]: Simplify 0 into 0 7.144 * [backup-simplify]: Simplify 1 into 1 7.144 * [backup-simplify]: Simplify (exp 0) into 1 7.144 * [backup-simplify]: Simplify (sqrt 1) into 1 7.145 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 7.145 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.145 * [taylor]: Taking taylor expansion of (sqrt (exp x)) in x 7.145 * [taylor]: Taking taylor expansion of (exp x) in x 7.145 * [taylor]: Taking taylor expansion of x in x 7.145 * [backup-simplify]: Simplify 0 into 0 7.145 * [backup-simplify]: Simplify 1 into 1 7.145 * [backup-simplify]: Simplify (exp 0) into 1 7.146 * [backup-simplify]: Simplify (sqrt 1) into 1 7.146 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 1) 1)))) into 1 7.147 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 7.147 * [backup-simplify]: Simplify (* 1 1) into 1 7.147 * [backup-simplify]: Simplify (* 1 1) into 1 7.148 * [backup-simplify]: Simplify (+ 1 1) into 2 7.148 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 7.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.149 * [backup-simplify]: Simplify (+ (* 1 1/2) (* 1/2 1)) into 1 7.149 * [backup-simplify]: Simplify (+ 0 1) into 1 7.150 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) 7.150 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 7.151 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 7.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.152 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 7.153 * [backup-simplify]: Simplify (/ (- 1/2 (pow 1/2 2) (+)) (* 2 1)) into 1/8 7.155 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into 1/2 7.156 * [backup-simplify]: Simplify (/ (- 1/2 (pow 1/2 2) (+)) (* 2 1)) into 1/8 7.157 * [backup-simplify]: Simplify (+ (* 1 1/8) (+ (* 1/2 1/2) (* 1/8 1))) into 1/2 7.157 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 7.162 * [backup-simplify]: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 7.168 * [backup-simplify]: Simplify (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 7.184 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) 7.185 * [backup-simplify]: Simplify (hypot 1 (sqrt (exp (/ 1 x)))) into (hypot 1 (sqrt (exp (/ 1 x)))) 7.185 * [approximate]: Taking taylor expansion of (hypot 1 (sqrt (exp (/ 1 x)))) in (x) around 0 7.185 * [taylor]: Taking taylor expansion of (hypot 1 (sqrt (exp (/ 1 x)))) in x 7.185 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x)))))) 7.185 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x))))) in x 7.185 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.185 * [taylor]: Taking taylor expansion of 1 in x 7.185 * [backup-simplify]: Simplify 1 into 1 7.185 * [taylor]: Taking taylor expansion of 1 in x 7.185 * [backup-simplify]: Simplify 1 into 1 7.185 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x)))) in x 7.185 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x 7.185 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 7.185 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.185 * [taylor]: Taking taylor expansion of x in x 7.185 * [backup-simplify]: Simplify 0 into 0 7.185 * [backup-simplify]: Simplify 1 into 1 7.186 * [backup-simplify]: Simplify (/ 1 1) into 1 7.186 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 7.186 * [backup-simplify]: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) 7.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 x))))) into 0 7.186 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x 7.186 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 7.186 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.186 * [taylor]: Taking taylor expansion of x in x 7.186 * [backup-simplify]: Simplify 0 into 0 7.186 * [backup-simplify]: Simplify 1 into 1 7.186 * [backup-simplify]: Simplify (/ 1 1) into 1 7.186 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 7.187 * [backup-simplify]: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) 7.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 x))))) into 0 7.187 * [backup-simplify]: Simplify (* 1 1) into 1 7.187 * [backup-simplify]: Simplify (* (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x)))) into (exp (/ 1 x)) 7.187 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 7.187 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) 7.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.188 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ 1 x))) 0) (* 0 (sqrt (exp (/ 1 x))))) into 0 7.189 * [backup-simplify]: Simplify (+ 0 0) into 0 7.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 7.189 * [taylor]: Taking taylor expansion of (hypot 1 (sqrt (exp (/ 1 x)))) in x 7.189 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x)))))) 7.189 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x))))) in x 7.189 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.189 * [taylor]: Taking taylor expansion of 1 in x 7.189 * [backup-simplify]: Simplify 1 into 1 7.189 * [taylor]: Taking taylor expansion of 1 in x 7.189 * [backup-simplify]: Simplify 1 into 1 7.189 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x)))) in x 7.189 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x 7.189 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 7.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.189 * [taylor]: Taking taylor expansion of x in x 7.189 * [backup-simplify]: Simplify 0 into 0 7.189 * [backup-simplify]: Simplify 1 into 1 7.190 * [backup-simplify]: Simplify (/ 1 1) into 1 7.190 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 7.190 * [backup-simplify]: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) 7.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 x))))) into 0 7.190 * [taylor]: Taking taylor expansion of (sqrt (exp (/ 1 x))) in x 7.190 * [taylor]: Taking taylor expansion of (exp (/ 1 x)) in x 7.190 * [taylor]: Taking taylor expansion of (/ 1 x) in x 7.190 * [taylor]: Taking taylor expansion of x in x 7.190 * [backup-simplify]: Simplify 0 into 0 7.190 * [backup-simplify]: Simplify 1 into 1 7.191 * [backup-simplify]: Simplify (/ 1 1) into 1 7.191 * [backup-simplify]: Simplify (exp (/ 1 x)) into (exp (/ 1 x)) 7.191 * [backup-simplify]: Simplify (sqrt (exp (/ 1 x))) into (sqrt (exp (/ 1 x))) 7.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ 1 x))))) into 0 7.191 * [backup-simplify]: Simplify (* 1 1) into 1 7.191 * [backup-simplify]: Simplify (* (sqrt (exp (/ 1 x))) (sqrt (exp (/ 1 x)))) into (exp (/ 1 x)) 7.192 * [backup-simplify]: Simplify (+ 1 (exp (/ 1 x))) into (+ (exp (/ 1 x)) 1) 7.192 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) 7.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.193 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ 1 x))) 0) (* 0 (sqrt (exp (/ 1 x))))) into 0 7.193 * [backup-simplify]: Simplify (+ 0 0) into 0 7.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 7.193 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 x)) 1)) into (sqrt (+ (exp (/ 1 x)) 1)) 7.193 * [backup-simplify]: Simplify 0 into 0 7.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.195 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 x))))) into 0 7.196 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ 1 x))))) into 0 7.196 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ 1 x))) 0) (+ (* 0 0) (* 0 (sqrt (exp (/ 1 x)))))) into 0 7.197 * [backup-simplify]: Simplify (+ 0 0) into 0 7.197 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 7.197 * [backup-simplify]: Simplify 0 into 0 7.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.200 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 7.201 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 7.201 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ 1 x))))))) into 0 7.202 * [backup-simplify]: Simplify (+ 0 0) into 0 7.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 7.203 * [backup-simplify]: Simplify 0 into 0 7.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.205 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 7.206 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 7.207 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ 1 x)))))))) into 0 7.208 * [backup-simplify]: Simplify (+ 0 0) into 0 7.209 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 7.209 * [backup-simplify]: Simplify 0 into 0 7.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.211 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 7.212 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 7.214 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ 1 x))))))))) into 0 7.214 * [backup-simplify]: Simplify (+ 0 0) into 0 7.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 7.215 * [backup-simplify]: Simplify 0 into 0 7.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.218 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 7.219 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ 1 x))))) into 0 7.221 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ 1 x)))))))))) into 0 7.222 * [backup-simplify]: Simplify (+ 0 0) into 0 7.223 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ 1 x)) 1)))) into 0 7.223 * [backup-simplify]: Simplify 0 into 0 7.223 * [backup-simplify]: Simplify (sqrt (+ (exp (/ 1 (/ 1 x))) 1)) into (sqrt (+ (exp x) 1)) 7.223 * [backup-simplify]: Simplify (hypot 1 (sqrt (exp (/ 1 (- x))))) into (hypot 1 (sqrt (exp (/ -1 x)))) 7.223 * [approximate]: Taking taylor expansion of (hypot 1 (sqrt (exp (/ -1 x)))) in (x) around 0 7.223 * [taylor]: Taking taylor expansion of (hypot 1 (sqrt (exp (/ -1 x)))) in x 7.223 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x)))))) 7.223 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x))))) in x 7.223 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.223 * [taylor]: Taking taylor expansion of 1 in x 7.223 * [backup-simplify]: Simplify 1 into 1 7.223 * [taylor]: Taking taylor expansion of 1 in x 7.224 * [backup-simplify]: Simplify 1 into 1 7.224 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x)))) in x 7.224 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in x 7.224 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 7.224 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.224 * [taylor]: Taking taylor expansion of -1 in x 7.224 * [backup-simplify]: Simplify -1 into -1 7.224 * [taylor]: Taking taylor expansion of x in x 7.224 * [backup-simplify]: Simplify 0 into 0 7.224 * [backup-simplify]: Simplify 1 into 1 7.224 * [backup-simplify]: Simplify (/ -1 1) into -1 7.224 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 7.224 * [backup-simplify]: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) 7.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ -1 x))))) into 0 7.225 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in x 7.225 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 7.225 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.225 * [taylor]: Taking taylor expansion of -1 in x 7.225 * [backup-simplify]: Simplify -1 into -1 7.225 * [taylor]: Taking taylor expansion of x in x 7.225 * [backup-simplify]: Simplify 0 into 0 7.225 * [backup-simplify]: Simplify 1 into 1 7.225 * [backup-simplify]: Simplify (/ -1 1) into -1 7.225 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 7.225 * [backup-simplify]: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) 7.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ -1 x))))) into 0 7.226 * [backup-simplify]: Simplify (* 1 1) into 1 7.226 * [backup-simplify]: Simplify (* (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x)))) into (exp (/ -1 x)) 7.226 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 7.226 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) 7.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.227 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ -1 x))) 0) (* 0 (sqrt (exp (/ -1 x))))) into 0 7.227 * [backup-simplify]: Simplify (+ 0 0) into 0 7.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 7.228 * [taylor]: Taking taylor expansion of (hypot 1 (sqrt (exp (/ -1 x)))) in x 7.228 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x)))))) 7.228 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x))))) in x 7.228 * [taylor]: Taking taylor expansion of (* 1 1) in x 7.228 * [taylor]: Taking taylor expansion of 1 in x 7.228 * [backup-simplify]: Simplify 1 into 1 7.228 * [taylor]: Taking taylor expansion of 1 in x 7.228 * [backup-simplify]: Simplify 1 into 1 7.228 * [taylor]: Taking taylor expansion of (* (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x)))) in x 7.228 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in x 7.228 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 7.228 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.228 * [taylor]: Taking taylor expansion of -1 in x 7.228 * [backup-simplify]: Simplify -1 into -1 7.228 * [taylor]: Taking taylor expansion of x in x 7.228 * [backup-simplify]: Simplify 0 into 0 7.228 * [backup-simplify]: Simplify 1 into 1 7.229 * [backup-simplify]: Simplify (/ -1 1) into -1 7.229 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 7.229 * [backup-simplify]: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) 7.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ -1 x))))) into 0 7.229 * [taylor]: Taking taylor expansion of (sqrt (exp (/ -1 x))) in x 7.229 * [taylor]: Taking taylor expansion of (exp (/ -1 x)) in x 7.229 * [taylor]: Taking taylor expansion of (/ -1 x) in x 7.229 * [taylor]: Taking taylor expansion of -1 in x 7.229 * [backup-simplify]: Simplify -1 into -1 7.229 * [taylor]: Taking taylor expansion of x in x 7.229 * [backup-simplify]: Simplify 0 into 0 7.229 * [backup-simplify]: Simplify 1 into 1 7.230 * [backup-simplify]: Simplify (/ -1 1) into -1 7.230 * [backup-simplify]: Simplify (exp (/ -1 x)) into (exp (/ -1 x)) 7.230 * [backup-simplify]: Simplify (sqrt (exp (/ -1 x))) into (sqrt (exp (/ -1 x))) 7.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (exp (/ -1 x))))) into 0 7.230 * [backup-simplify]: Simplify (* 1 1) into 1 7.230 * [backup-simplify]: Simplify (* (sqrt (exp (/ -1 x))) (sqrt (exp (/ -1 x)))) into (exp (/ -1 x)) 7.231 * [backup-simplify]: Simplify (+ 1 (exp (/ -1 x))) into (+ (exp (/ -1 x)) 1) 7.231 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) 7.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.232 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ -1 x))) 0) (* 0 (sqrt (exp (/ -1 x))))) into 0 7.232 * [backup-simplify]: Simplify (+ 0 0) into 0 7.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 7.232 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 x)) 1)) into (sqrt (+ (exp (/ -1 x)) 1)) 7.232 * [backup-simplify]: Simplify 0 into 0 7.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.234 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ -1 x))))) into 0 7.235 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (exp (/ -1 x))))) into 0 7.235 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ -1 x))) 0) (+ (* 0 0) (* 0 (sqrt (exp (/ -1 x)))))) into 0 7.236 * [backup-simplify]: Simplify (+ 0 0) into 0 7.237 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 7.237 * [backup-simplify]: Simplify 0 into 0 7.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 7.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 7.241 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ -1 x))))))) into 0 7.241 * [backup-simplify]: Simplify (+ 0 0) into 0 7.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 7.242 * [backup-simplify]: Simplify 0 into 0 7.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.245 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 7.246 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 7.247 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ -1 x)))))))) into 0 7.247 * [backup-simplify]: Simplify (+ 0 0) into 0 7.248 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 7.249 * [backup-simplify]: Simplify 0 into 0 7.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 7.251 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 7.252 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 7.253 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ -1 x))))))))) into 0 7.253 * [backup-simplify]: Simplify (+ 0 0) into 0 7.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 7.254 * [backup-simplify]: Simplify 0 into 0 7.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 7.255 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 7.256 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (exp (/ -1 x))))) into 0 7.257 * [backup-simplify]: Simplify (+ (* (sqrt (exp (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (exp (/ -1 x)))))))))) into 0 7.257 * [backup-simplify]: Simplify (+ 0 0) into 0 7.258 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (exp (/ -1 x)) 1)))) into 0 7.258 * [backup-simplify]: Simplify 0 into 0 7.258 * [backup-simplify]: Simplify (sqrt (+ (exp (/ -1 (/ 1 (- x)))) 1)) into (sqrt (+ (exp x) 1)) 7.258 * * * [progress]: simplifying candidates 7.258 * * * * [progress]: [ 1 / 36 ] simplifiying candidate # 7.258 * * * * [progress]: [ 2 / 36 ] simplifiying candidate # 7.258 * * * * [progress]: [ 3 / 36 ] simplifiying candidate # 7.258 * * * * [progress]: [ 4 / 36 ] simplifiying candidate # 7.258 * * * * [progress]: [ 5 / 36 ] simplifiying candidate # 7.258 * * * * [progress]: [ 6 / 36 ] simplifiying candidate # 7.258 * * * * [progress]: [ 7 / 36 ] simplifiying candidate # 7.258 * * * * [progress]: [ 8 / 36 ] simplifiying candidate # 7.258 * * * * [progress]: [ 9 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 10 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 11 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 12 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 13 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 14 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 15 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 16 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 17 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 18 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 19 / 36 ] simplifiying candidate #real (real->posit16 (sqrt (exp x))))))> 7.259 * * * * [progress]: [ 20 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 21 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 22 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 23 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 24 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 25 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 26 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 27 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 28 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 29 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 30 / 36 ] simplifiying candidate #real (real->posit16 (hypot 1 (sqrt (exp x))))))> 7.259 * * * * [progress]: [ 31 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 32 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 33 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 34 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 35 / 36 ] simplifiying candidate # 7.259 * * * * [progress]: [ 36 / 36 ] simplifiying candidate # 7.260 * [simplify]: Simplifying: (expm1 (sqrt (exp x))) (log1p (sqrt (exp x))) (log (sqrt (exp x))) (exp (sqrt (exp x))) (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) (cbrt (sqrt (exp x))) (* (* (sqrt (exp x)) (sqrt (exp x))) (sqrt (exp x))) (sqrt (* (cbrt (exp x)) (cbrt (exp x)))) (sqrt (cbrt (exp x))) (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x))) (sqrt 1) (sqrt (exp x)) (/ 1 2) (/ (cbrt x) 2) (/ (sqrt x) 2) (/ x 2) (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x))) (real->posit16 (sqrt (exp x))) (expm1 (hypot 1 (sqrt (exp x)))) (log1p (hypot 1 (sqrt (exp x)))) (+ (* 1 1) (* (sqrt (exp x)) (sqrt (exp x)))) (log (hypot 1 (sqrt (exp x)))) (exp (hypot 1 (sqrt (exp x)))) (* (cbrt (hypot 1 (sqrt (exp x)))) (cbrt (hypot 1 (sqrt (exp x))))) (cbrt (hypot 1 (sqrt (exp x)))) (* (* (hypot 1 (sqrt (exp x))) (hypot 1 (sqrt (exp x)))) (hypot 1 (sqrt (exp x)))) (sqrt (hypot 1 (sqrt (exp x)))) (sqrt (hypot 1 (sqrt (exp x)))) (real->posit16 (hypot 1 (sqrt (exp x)))) (+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1)) (sqrt (exp x)) (sqrt (exp x)) (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1)) 7.260 * * [simplify]: iteration 0: 61 enodes 7.275 * * [simplify]: iteration 1: 104 enodes 7.315 * * [simplify]: iteration 2: 232 enodes 7.424 * * [simplify]: iteration 3: 666 enodes 7.957 * * [simplify]: iteration 4: 2694 enodes 8.749 * * [simplify]: iteration complete: 5010 enodes 8.749 * * [simplify]: Extracting #0: cost 30 inf + 0 8.749 * * [simplify]: Extracting #1: cost 210 inf + 2 8.760 * * [simplify]: Extracting #2: cost 925 inf + 3391 8.791 * * [simplify]: Extracting #3: cost 915 inf + 54515 8.876 * * [simplify]: Extracting #4: cost 250 inf + 268966 9.394 * * [simplify]: Extracting #5: cost 11 inf + 358708 9.476 * * [simplify]: Extracting #6: cost 0 inf + 361702 9.554 * [simplify]: Simplified to: (expm1 (sqrt (exp x))) (log1p (sqrt (exp x))) (log (sqrt (exp x))) (exp (sqrt (exp x))) (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) (cbrt (sqrt (exp x))) (* (sqrt (exp x)) (exp x)) (fabs (cbrt (exp x))) (sqrt (cbrt (exp x))) (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x))) 1 (sqrt (exp x)) 1/2 (/ (cbrt x) 2) (/ (sqrt x) 2) (* x 1/2) (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x))) (real->posit16 (sqrt (exp x))) (expm1 (sqrt (+ (exp x) 1))) (log1p (sqrt (+ (exp x) 1))) (+ (exp x) 1) (log (sqrt (+ (exp x) 1))) (exp (sqrt (+ (exp x) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (sqrt (+ (exp x) 1))) (* (sqrt (+ (exp x) 1)) (+ (exp x) 1)) (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1))) (real->posit16 (sqrt (+ (exp x) 1))) (fma x (fma x 1/8 1/2) 1) (sqrt (exp x)) (sqrt (exp x)) (fma (/ 1/2 (sqrt 2)) x (fma (/ (* x x) (sqrt 2)) 3/16 (sqrt 2))) (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1)) 9.556 * * * [progress]: adding candidates to table 9.711 * * [progress]: iteration 3 / 4 9.711 * * * [progress]: picking best candidate 9.720 * * * * [pick]: Picked # 9.720 * * * [progress]: localizing error 9.745 * * * [progress]: generating rewritten candidates 9.745 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 9.754 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 9.755 * * * [progress]: generating series expansions 9.755 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 9.755 * [backup-simplify]: Simplify (pow (exp 1) (/ x 2)) into (pow E (* 1/2 x)) 9.755 * [approximate]: Taking taylor expansion of (pow E (* 1/2 x)) in (x) around 0 9.755 * [taylor]: Taking taylor expansion of (pow E (* 1/2 x)) in x 9.755 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 x) (log E))) in x 9.755 * [taylor]: Taking taylor expansion of (* (* 1/2 x) (log E)) in x 9.755 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 9.755 * [taylor]: Taking taylor expansion of 1/2 in x 9.755 * [backup-simplify]: Simplify 1/2 into 1/2 9.755 * [taylor]: Taking taylor expansion of x in x 9.755 * [backup-simplify]: Simplify 0 into 0 9.755 * [backup-simplify]: Simplify 1 into 1 9.756 * [taylor]: Taking taylor expansion of (log E) in x 9.756 * [taylor]: Taking taylor expansion of E in x 9.756 * [backup-simplify]: Simplify E into E 9.756 * [backup-simplify]: Simplify (log E) into 1 9.756 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.757 * [backup-simplify]: Simplify (* 0 1) into 0 9.759 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0 9.765 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.766 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 1)) into 1/2 9.766 * [backup-simplify]: Simplify (exp 0) into 1 9.766 * [taylor]: Taking taylor expansion of (pow E (* 1/2 x)) in x 9.766 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 x) (log E))) in x 9.766 * [taylor]: Taking taylor expansion of (* (* 1/2 x) (log E)) in x 9.766 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 9.766 * [taylor]: Taking taylor expansion of 1/2 in x 9.766 * [backup-simplify]: Simplify 1/2 into 1/2 9.766 * [taylor]: Taking taylor expansion of x in x 9.766 * [backup-simplify]: Simplify 0 into 0 9.766 * [backup-simplify]: Simplify 1 into 1 9.766 * [taylor]: Taking taylor expansion of (log E) in x 9.766 * [taylor]: Taking taylor expansion of E in x 9.766 * [backup-simplify]: Simplify E into E 9.766 * [backup-simplify]: Simplify (log E) into 1 9.767 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.767 * [backup-simplify]: Simplify (* 0 1) into 0 9.769 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0 9.769 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.770 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 1)) into 1/2 9.770 * [backup-simplify]: Simplify (exp 0) into 1 9.771 * [backup-simplify]: Simplify 1 into 1 9.772 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/2 1) 1)))) into 1/2 9.772 * [backup-simplify]: Simplify 1/2 into 1/2 9.776 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow E 1)))) 2) into 0 9.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.778 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 0) (* 0 1))) into 0 9.780 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/2 2) 2)) (* (/ (pow 0 1) 1)))) into 1/8 9.780 * [backup-simplify]: Simplify 1/8 into 1/8 9.780 * [backup-simplify]: Simplify (+ (* 1/8 (pow x 2)) (+ (* 1/2 x) 1)) into (+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1)) 9.780 * [backup-simplify]: Simplify (pow (exp 1) (/ (/ 1 x) 2)) into (pow E (/ 1/2 x)) 9.780 * [approximate]: Taking taylor expansion of (pow E (/ 1/2 x)) in (x) around 0 9.780 * [taylor]: Taking taylor expansion of (pow E (/ 1/2 x)) in x 9.780 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 x) (log E))) in x 9.780 * [taylor]: Taking taylor expansion of (* (/ 1/2 x) (log E)) in x 9.780 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 9.780 * [taylor]: Taking taylor expansion of 1/2 in x 9.780 * [backup-simplify]: Simplify 1/2 into 1/2 9.780 * [taylor]: Taking taylor expansion of x in x 9.780 * [backup-simplify]: Simplify 0 into 0 9.780 * [backup-simplify]: Simplify 1 into 1 9.781 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.781 * [taylor]: Taking taylor expansion of (log E) in x 9.781 * [taylor]: Taking taylor expansion of E in x 9.781 * [backup-simplify]: Simplify E into E 9.781 * [backup-simplify]: Simplify (log E) into 1 9.781 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.781 * [backup-simplify]: Simplify (exp (* (/ 1/2 x) (log E))) into (exp (/ 1/2 x)) 9.781 * [taylor]: Taking taylor expansion of (pow E (/ 1/2 x)) in x 9.781 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 x) (log E))) in x 9.781 * [taylor]: Taking taylor expansion of (* (/ 1/2 x) (log E)) in x 9.781 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 9.781 * [taylor]: Taking taylor expansion of 1/2 in x 9.781 * [backup-simplify]: Simplify 1/2 into 1/2 9.781 * [taylor]: Taking taylor expansion of x in x 9.781 * [backup-simplify]: Simplify 0 into 0 9.781 * [backup-simplify]: Simplify 1 into 1 9.781 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.781 * [taylor]: Taking taylor expansion of (log E) in x 9.781 * [taylor]: Taking taylor expansion of E in x 9.781 * [backup-simplify]: Simplify E into E 9.781 * [backup-simplify]: Simplify (log E) into 1 9.782 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.782 * [backup-simplify]: Simplify (exp (* (/ 1/2 x) (log E))) into (exp (/ 1/2 x)) 9.782 * [backup-simplify]: Simplify (exp (/ 1/2 x)) into (exp (/ 1/2 x)) 9.782 * [backup-simplify]: Simplify 0 into 0 9.782 * [backup-simplify]: Simplify 0 into 0 9.782 * [backup-simplify]: Simplify 0 into 0 9.782 * [backup-simplify]: Simplify 0 into 0 9.782 * [backup-simplify]: Simplify 0 into 0 9.782 * [backup-simplify]: Simplify 0 into 0 9.782 * [backup-simplify]: Simplify (exp (/ 1/2 (/ 1 x))) into (exp (* 1/2 x)) 9.782 * [backup-simplify]: Simplify (pow (exp 1) (/ (/ 1 (- x)) 2)) into (pow E (/ -1/2 x)) 9.782 * [approximate]: Taking taylor expansion of (pow E (/ -1/2 x)) in (x) around 0 9.782 * [taylor]: Taking taylor expansion of (pow E (/ -1/2 x)) in x 9.782 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 x) (log E))) in x 9.782 * [taylor]: Taking taylor expansion of (* (/ -1/2 x) (log E)) in x 9.782 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 9.782 * [taylor]: Taking taylor expansion of -1/2 in x 9.782 * [backup-simplify]: Simplify -1/2 into -1/2 9.782 * [taylor]: Taking taylor expansion of x in x 9.782 * [backup-simplify]: Simplify 0 into 0 9.782 * [backup-simplify]: Simplify 1 into 1 9.783 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.783 * [taylor]: Taking taylor expansion of (log E) in x 9.783 * [taylor]: Taking taylor expansion of E in x 9.783 * [backup-simplify]: Simplify E into E 9.783 * [backup-simplify]: Simplify (log E) into 1 9.783 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 9.783 * [backup-simplify]: Simplify (exp (* (/ -1/2 x) (log E))) into (exp (/ -1/2 x)) 9.783 * [taylor]: Taking taylor expansion of (pow E (/ -1/2 x)) in x 9.783 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 x) (log E))) in x 9.783 * [taylor]: Taking taylor expansion of (* (/ -1/2 x) (log E)) in x 9.783 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 9.783 * [taylor]: Taking taylor expansion of -1/2 in x 9.783 * [backup-simplify]: Simplify -1/2 into -1/2 9.783 * [taylor]: Taking taylor expansion of x in x 9.783 * [backup-simplify]: Simplify 0 into 0 9.783 * [backup-simplify]: Simplify 1 into 1 9.783 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.784 * [taylor]: Taking taylor expansion of (log E) in x 9.784 * [taylor]: Taking taylor expansion of E in x 9.784 * [backup-simplify]: Simplify E into E 9.784 * [backup-simplify]: Simplify (log E) into 1 9.784 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 9.784 * [backup-simplify]: Simplify (exp (* (/ -1/2 x) (log E))) into (exp (/ -1/2 x)) 9.784 * [backup-simplify]: Simplify (exp (/ -1/2 x)) into (exp (/ -1/2 x)) 9.784 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify 0 into 0 9.784 * [backup-simplify]: Simplify (exp (/ -1/2 (/ 1 (- x)))) into (exp (* 1/2 x)) 9.784 * * * * [progress]: [ 2 / 2 ] generating series at (2) 9.784 * [backup-simplify]: Simplify (hypot 1 (pow (exp 1) (/ x 2))) into (hypot 1 (pow E (* 1/2 x))) 9.784 * [approximate]: Taking taylor expansion of (hypot 1 (pow E (* 1/2 x))) in (x) around 0 9.784 * [taylor]: Taking taylor expansion of (hypot 1 (pow E (* 1/2 x))) in x 9.784 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (pow E (* 1/2 x)) (pow E (* 1/2 x))))) 9.784 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (pow E (* 1/2 x)) (pow E (* 1/2 x)))) in x 9.784 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.785 * [taylor]: Taking taylor expansion of 1 in x 9.785 * [backup-simplify]: Simplify 1 into 1 9.785 * [taylor]: Taking taylor expansion of 1 in x 9.785 * [backup-simplify]: Simplify 1 into 1 9.785 * [taylor]: Taking taylor expansion of (* (pow E (* 1/2 x)) (pow E (* 1/2 x))) in x 9.785 * [taylor]: Taking taylor expansion of (pow E (* 1/2 x)) in x 9.785 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 x) (log E))) in x 9.785 * [taylor]: Taking taylor expansion of (* (* 1/2 x) (log E)) in x 9.785 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 9.785 * [taylor]: Taking taylor expansion of 1/2 in x 9.785 * [backup-simplify]: Simplify 1/2 into 1/2 9.785 * [taylor]: Taking taylor expansion of x in x 9.785 * [backup-simplify]: Simplify 0 into 0 9.785 * [backup-simplify]: Simplify 1 into 1 9.785 * [taylor]: Taking taylor expansion of (log E) in x 9.785 * [taylor]: Taking taylor expansion of E in x 9.785 * [backup-simplify]: Simplify E into E 9.785 * [backup-simplify]: Simplify (log E) into 1 9.785 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.785 * [backup-simplify]: Simplify (* 0 1) into 0 9.786 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0 9.787 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.787 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 1)) into 1/2 9.787 * [backup-simplify]: Simplify (exp 0) into 1 9.787 * [taylor]: Taking taylor expansion of (pow E (* 1/2 x)) in x 9.787 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 x) (log E))) in x 9.787 * [taylor]: Taking taylor expansion of (* (* 1/2 x) (log E)) in x 9.787 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 9.787 * [taylor]: Taking taylor expansion of 1/2 in x 9.787 * [backup-simplify]: Simplify 1/2 into 1/2 9.787 * [taylor]: Taking taylor expansion of x in x 9.787 * [backup-simplify]: Simplify 0 into 0 9.787 * [backup-simplify]: Simplify 1 into 1 9.787 * [taylor]: Taking taylor expansion of (log E) in x 9.787 * [taylor]: Taking taylor expansion of E in x 9.787 * [backup-simplify]: Simplify E into E 9.787 * [backup-simplify]: Simplify (log E) into 1 9.788 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.788 * [backup-simplify]: Simplify (* 0 1) into 0 9.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0 9.789 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.790 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 1)) into 1/2 9.790 * [backup-simplify]: Simplify (exp 0) into 1 9.790 * [backup-simplify]: Simplify (* 1 1) into 1 9.791 * [backup-simplify]: Simplify (* 1 1) into 1 9.791 * [backup-simplify]: Simplify (+ 1 1) into 2 9.791 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.792 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/2 1) 1)))) into 1/2 9.793 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/2 1) 1)))) into 1/2 9.793 * [backup-simplify]: Simplify (+ (* 1 1/2) (* 1/2 1)) into 1 9.794 * [backup-simplify]: Simplify (+ 0 1) into 1 9.795 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) 9.795 * [taylor]: Taking taylor expansion of (hypot 1 (pow E (* 1/2 x))) in x 9.795 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (pow E (* 1/2 x)) (pow E (* 1/2 x))))) 9.795 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (pow E (* 1/2 x)) (pow E (* 1/2 x)))) in x 9.795 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.795 * [taylor]: Taking taylor expansion of 1 in x 9.795 * [backup-simplify]: Simplify 1 into 1 9.795 * [taylor]: Taking taylor expansion of 1 in x 9.795 * [backup-simplify]: Simplify 1 into 1 9.795 * [taylor]: Taking taylor expansion of (* (pow E (* 1/2 x)) (pow E (* 1/2 x))) in x 9.795 * [taylor]: Taking taylor expansion of (pow E (* 1/2 x)) in x 9.795 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 x) (log E))) in x 9.795 * [taylor]: Taking taylor expansion of (* (* 1/2 x) (log E)) in x 9.795 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 9.795 * [taylor]: Taking taylor expansion of 1/2 in x 9.795 * [backup-simplify]: Simplify 1/2 into 1/2 9.795 * [taylor]: Taking taylor expansion of x in x 9.795 * [backup-simplify]: Simplify 0 into 0 9.795 * [backup-simplify]: Simplify 1 into 1 9.795 * [taylor]: Taking taylor expansion of (log E) in x 9.795 * [taylor]: Taking taylor expansion of E in x 9.795 * [backup-simplify]: Simplify E into E 9.795 * [backup-simplify]: Simplify (log E) into 1 9.795 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.796 * [backup-simplify]: Simplify (* 0 1) into 0 9.797 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0 9.797 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.798 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 1)) into 1/2 9.798 * [backup-simplify]: Simplify (exp 0) into 1 9.798 * [taylor]: Taking taylor expansion of (pow E (* 1/2 x)) in x 9.798 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 x) (log E))) in x 9.798 * [taylor]: Taking taylor expansion of (* (* 1/2 x) (log E)) in x 9.798 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 9.798 * [taylor]: Taking taylor expansion of 1/2 in x 9.798 * [backup-simplify]: Simplify 1/2 into 1/2 9.798 * [taylor]: Taking taylor expansion of x in x 9.798 * [backup-simplify]: Simplify 0 into 0 9.798 * [backup-simplify]: Simplify 1 into 1 9.798 * [taylor]: Taking taylor expansion of (log E) in x 9.798 * [taylor]: Taking taylor expansion of E in x 9.798 * [backup-simplify]: Simplify E into E 9.798 * [backup-simplify]: Simplify (log E) into 1 9.798 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.798 * [backup-simplify]: Simplify (* 0 1) into 0 9.799 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow E 1)))) 1) into 0 9.800 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.800 * [backup-simplify]: Simplify (+ (* 0 0) (* 1/2 1)) into 1/2 9.800 * [backup-simplify]: Simplify (exp 0) into 1 9.801 * [backup-simplify]: Simplify (* 1 1) into 1 9.801 * [backup-simplify]: Simplify (* 1 1) into 1 9.801 * [backup-simplify]: Simplify (+ 1 1) into 2 9.801 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.802 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/2 1) 1)))) into 1/2 9.803 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/2 1) 1)))) into 1/2 9.803 * [backup-simplify]: Simplify (+ (* 1 1/2) (* 1/2 1)) into 1 9.804 * [backup-simplify]: Simplify (+ 0 1) into 1 9.805 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) 9.805 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.806 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 9.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.808 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow E 1)))) 2) into 0 9.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.809 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 0) (* 0 1))) into 0 9.810 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/2 2) 2)) (* (/ (pow 0 1) 1)))) into 1/8 9.812 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow E 1)))) 2) into 0 9.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.813 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1/2 0) (* 0 1))) into 0 9.814 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/2 2) 2)) (* (/ (pow 0 1) 1)))) into 1/8 9.815 * [backup-simplify]: Simplify (+ (* 1 1/8) (+ (* 1/2 1/2) (* 1/8 1))) into 1/2 9.815 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 9.820 * [backup-simplify]: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 9.828 * [backup-simplify]: Simplify (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 9.838 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) 9.838 * [backup-simplify]: Simplify (hypot 1 (pow (exp 1) (/ (/ 1 x) 2))) into (hypot 1 (pow E (/ 1/2 x))) 9.838 * [approximate]: Taking taylor expansion of (hypot 1 (pow E (/ 1/2 x))) in (x) around 0 9.838 * [taylor]: Taking taylor expansion of (hypot 1 (pow E (/ 1/2 x))) in x 9.838 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (pow E (/ 1/2 x)) (pow E (/ 1/2 x))))) 9.838 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (pow E (/ 1/2 x)) (pow E (/ 1/2 x)))) in x 9.838 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.838 * [taylor]: Taking taylor expansion of 1 in x 9.838 * [backup-simplify]: Simplify 1 into 1 9.838 * [taylor]: Taking taylor expansion of 1 in x 9.838 * [backup-simplify]: Simplify 1 into 1 9.838 * [taylor]: Taking taylor expansion of (* (pow E (/ 1/2 x)) (pow E (/ 1/2 x))) in x 9.838 * [taylor]: Taking taylor expansion of (pow E (/ 1/2 x)) in x 9.838 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 x) (log E))) in x 9.838 * [taylor]: Taking taylor expansion of (* (/ 1/2 x) (log E)) in x 9.838 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 9.838 * [taylor]: Taking taylor expansion of 1/2 in x 9.838 * [backup-simplify]: Simplify 1/2 into 1/2 9.838 * [taylor]: Taking taylor expansion of x in x 9.838 * [backup-simplify]: Simplify 0 into 0 9.838 * [backup-simplify]: Simplify 1 into 1 9.839 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.839 * [taylor]: Taking taylor expansion of (log E) in x 9.839 * [taylor]: Taking taylor expansion of E in x 9.839 * [backup-simplify]: Simplify E into E 9.839 * [backup-simplify]: Simplify (log E) into 1 9.839 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.839 * [backup-simplify]: Simplify (exp (* (/ 1/2 x) (log E))) into (exp (/ 1/2 x)) 9.839 * [taylor]: Taking taylor expansion of (pow E (/ 1/2 x)) in x 9.840 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 x) (log E))) in x 9.840 * [taylor]: Taking taylor expansion of (* (/ 1/2 x) (log E)) in x 9.840 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 9.840 * [taylor]: Taking taylor expansion of 1/2 in x 9.840 * [backup-simplify]: Simplify 1/2 into 1/2 9.840 * [taylor]: Taking taylor expansion of x in x 9.840 * [backup-simplify]: Simplify 0 into 0 9.840 * [backup-simplify]: Simplify 1 into 1 9.840 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.840 * [taylor]: Taking taylor expansion of (log E) in x 9.840 * [taylor]: Taking taylor expansion of E in x 9.840 * [backup-simplify]: Simplify E into E 9.840 * [backup-simplify]: Simplify (log E) into 1 9.841 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.841 * [backup-simplify]: Simplify (exp (* (/ 1/2 x) (log E))) into (exp (/ 1/2 x)) 9.841 * [backup-simplify]: Simplify (* 1 1) into 1 9.841 * [backup-simplify]: Simplify (* (exp (/ 1/2 x)) (exp (/ 1/2 x))) into (pow (exp (/ 1/2 x)) 2) 9.842 * [backup-simplify]: Simplify (+ 1 (pow (exp (/ 1/2 x)) 2)) into (+ (pow (exp (/ 1/2 x)) 2) 1) 9.842 * [backup-simplify]: Simplify (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)) into (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)) 9.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.843 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 x)) 0) (* 0 (exp (/ 1/2 x)))) into 0 9.843 * [backup-simplify]: Simplify (+ 0 0) into 0 9.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)))) into 0 9.843 * [taylor]: Taking taylor expansion of (hypot 1 (pow E (/ 1/2 x))) in x 9.843 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (pow E (/ 1/2 x)) (pow E (/ 1/2 x))))) 9.843 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (pow E (/ 1/2 x)) (pow E (/ 1/2 x)))) in x 9.843 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.843 * [taylor]: Taking taylor expansion of 1 in x 9.843 * [backup-simplify]: Simplify 1 into 1 9.843 * [taylor]: Taking taylor expansion of 1 in x 9.843 * [backup-simplify]: Simplify 1 into 1 9.843 * [taylor]: Taking taylor expansion of (* (pow E (/ 1/2 x)) (pow E (/ 1/2 x))) in x 9.844 * [taylor]: Taking taylor expansion of (pow E (/ 1/2 x)) in x 9.844 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 x) (log E))) in x 9.844 * [taylor]: Taking taylor expansion of (* (/ 1/2 x) (log E)) in x 9.844 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 9.844 * [taylor]: Taking taylor expansion of 1/2 in x 9.844 * [backup-simplify]: Simplify 1/2 into 1/2 9.844 * [taylor]: Taking taylor expansion of x in x 9.844 * [backup-simplify]: Simplify 0 into 0 9.844 * [backup-simplify]: Simplify 1 into 1 9.844 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.844 * [taylor]: Taking taylor expansion of (log E) in x 9.844 * [taylor]: Taking taylor expansion of E in x 9.844 * [backup-simplify]: Simplify E into E 9.844 * [backup-simplify]: Simplify (log E) into 1 9.844 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.844 * [backup-simplify]: Simplify (exp (* (/ 1/2 x) (log E))) into (exp (/ 1/2 x)) 9.844 * [taylor]: Taking taylor expansion of (pow E (/ 1/2 x)) in x 9.845 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 x) (log E))) in x 9.845 * [taylor]: Taking taylor expansion of (* (/ 1/2 x) (log E)) in x 9.845 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 9.845 * [taylor]: Taking taylor expansion of 1/2 in x 9.845 * [backup-simplify]: Simplify 1/2 into 1/2 9.845 * [taylor]: Taking taylor expansion of x in x 9.845 * [backup-simplify]: Simplify 0 into 0 9.845 * [backup-simplify]: Simplify 1 into 1 9.845 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.845 * [taylor]: Taking taylor expansion of (log E) in x 9.845 * [taylor]: Taking taylor expansion of E in x 9.845 * [backup-simplify]: Simplify E into E 9.845 * [backup-simplify]: Simplify (log E) into 1 9.845 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.845 * [backup-simplify]: Simplify (exp (* (/ 1/2 x) (log E))) into (exp (/ 1/2 x)) 9.846 * [backup-simplify]: Simplify (* 1 1) into 1 9.846 * [backup-simplify]: Simplify (* (exp (/ 1/2 x)) (exp (/ 1/2 x))) into (pow (exp (/ 1/2 x)) 2) 9.846 * [backup-simplify]: Simplify (+ 1 (pow (exp (/ 1/2 x)) 2)) into (+ (pow (exp (/ 1/2 x)) 2) 1) 9.846 * [backup-simplify]: Simplify (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)) into (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)) 9.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.846 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 x)) 0) (* 0 (exp (/ 1/2 x)))) into 0 9.847 * [backup-simplify]: Simplify (+ 0 0) into 0 9.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)))) into 0 9.847 * [backup-simplify]: Simplify (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)) into (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)) 9.847 * [backup-simplify]: Simplify 0 into 0 9.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.848 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 x)) 0) (+ (* 0 0) (* 0 (exp (/ 1/2 x))))) into 0 9.848 * [backup-simplify]: Simplify (+ 0 0) into 0 9.849 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)))) into 0 9.849 * [backup-simplify]: Simplify 0 into 0 9.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.850 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 x)))))) into 0 9.850 * [backup-simplify]: Simplify (+ 0 0) into 0 9.851 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)))) into 0 9.851 * [backup-simplify]: Simplify 0 into 0 9.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.852 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 x))))))) into 0 9.852 * [backup-simplify]: Simplify (+ 0 0) into 0 9.853 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)))) into 0 9.853 * [backup-simplify]: Simplify 0 into 0 9.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.855 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 x)))))))) into 0 9.855 * [backup-simplify]: Simplify (+ 0 0) into 0 9.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)))) into 0 9.856 * [backup-simplify]: Simplify 0 into 0 9.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.858 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 x))))))))) into 0 9.858 * [backup-simplify]: Simplify (+ 0 0) into 0 9.859 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)))) into 0 9.859 * [backup-simplify]: Simplify 0 into 0 9.859 * [backup-simplify]: Simplify (sqrt (+ (pow (exp (/ 1/2 (/ 1 x))) 2) 1)) into (sqrt (+ (pow (exp (* 1/2 x)) 2) 1)) 9.859 * [backup-simplify]: Simplify (hypot 1 (pow (exp 1) (/ (/ 1 (- x)) 2))) into (hypot 1 (pow E (/ -1/2 x))) 9.859 * [approximate]: Taking taylor expansion of (hypot 1 (pow E (/ -1/2 x))) in (x) around 0 9.859 * [taylor]: Taking taylor expansion of (hypot 1 (pow E (/ -1/2 x))) in x 9.859 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (pow E (/ -1/2 x)) (pow E (/ -1/2 x))))) 9.859 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (pow E (/ -1/2 x)) (pow E (/ -1/2 x)))) in x 9.859 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.859 * [taylor]: Taking taylor expansion of 1 in x 9.859 * [backup-simplify]: Simplify 1 into 1 9.859 * [taylor]: Taking taylor expansion of 1 in x 9.859 * [backup-simplify]: Simplify 1 into 1 9.859 * [taylor]: Taking taylor expansion of (* (pow E (/ -1/2 x)) (pow E (/ -1/2 x))) in x 9.859 * [taylor]: Taking taylor expansion of (pow E (/ -1/2 x)) in x 9.859 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 x) (log E))) in x 9.859 * [taylor]: Taking taylor expansion of (* (/ -1/2 x) (log E)) in x 9.859 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 9.859 * [taylor]: Taking taylor expansion of -1/2 in x 9.859 * [backup-simplify]: Simplify -1/2 into -1/2 9.859 * [taylor]: Taking taylor expansion of x in x 9.859 * [backup-simplify]: Simplify 0 into 0 9.859 * [backup-simplify]: Simplify 1 into 1 9.860 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.860 * [taylor]: Taking taylor expansion of (log E) in x 9.860 * [taylor]: Taking taylor expansion of E in x 9.860 * [backup-simplify]: Simplify E into E 9.860 * [backup-simplify]: Simplify (log E) into 1 9.860 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 9.860 * [backup-simplify]: Simplify (exp (* (/ -1/2 x) (log E))) into (exp (/ -1/2 x)) 9.860 * [taylor]: Taking taylor expansion of (pow E (/ -1/2 x)) in x 9.860 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 x) (log E))) in x 9.860 * [taylor]: Taking taylor expansion of (* (/ -1/2 x) (log E)) in x 9.860 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 9.860 * [taylor]: Taking taylor expansion of -1/2 in x 9.860 * [backup-simplify]: Simplify -1/2 into -1/2 9.860 * [taylor]: Taking taylor expansion of x in x 9.860 * [backup-simplify]: Simplify 0 into 0 9.860 * [backup-simplify]: Simplify 1 into 1 9.860 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.861 * [taylor]: Taking taylor expansion of (log E) in x 9.861 * [taylor]: Taking taylor expansion of E in x 9.861 * [backup-simplify]: Simplify E into E 9.861 * [backup-simplify]: Simplify (log E) into 1 9.861 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 9.861 * [backup-simplify]: Simplify (exp (* (/ -1/2 x) (log E))) into (exp (/ -1/2 x)) 9.861 * [backup-simplify]: Simplify (* 1 1) into 1 9.861 * [backup-simplify]: Simplify (* (exp (/ -1/2 x)) (exp (/ -1/2 x))) into (pow (exp (/ -1/2 x)) 2) 9.861 * [backup-simplify]: Simplify (+ 1 (pow (exp (/ -1/2 x)) 2)) into (+ (pow (exp (/ -1/2 x)) 2) 1) 9.861 * [backup-simplify]: Simplify (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)) into (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)) 9.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.862 * [backup-simplify]: Simplify (+ (* (exp (/ -1/2 x)) 0) (* 0 (exp (/ -1/2 x)))) into 0 9.862 * [backup-simplify]: Simplify (+ 0 0) into 0 9.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)))) into 0 9.862 * [taylor]: Taking taylor expansion of (hypot 1 (pow E (/ -1/2 x))) in x 9.862 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (pow E (/ -1/2 x)) (pow E (/ -1/2 x))))) 9.862 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (pow E (/ -1/2 x)) (pow E (/ -1/2 x)))) in x 9.862 * [taylor]: Taking taylor expansion of (* 1 1) in x 9.862 * [taylor]: Taking taylor expansion of 1 in x 9.862 * [backup-simplify]: Simplify 1 into 1 9.862 * [taylor]: Taking taylor expansion of 1 in x 9.862 * [backup-simplify]: Simplify 1 into 1 9.862 * [taylor]: Taking taylor expansion of (* (pow E (/ -1/2 x)) (pow E (/ -1/2 x))) in x 9.862 * [taylor]: Taking taylor expansion of (pow E (/ -1/2 x)) in x 9.862 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 x) (log E))) in x 9.863 * [taylor]: Taking taylor expansion of (* (/ -1/2 x) (log E)) in x 9.863 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 9.863 * [taylor]: Taking taylor expansion of -1/2 in x 9.863 * [backup-simplify]: Simplify -1/2 into -1/2 9.863 * [taylor]: Taking taylor expansion of x in x 9.863 * [backup-simplify]: Simplify 0 into 0 9.863 * [backup-simplify]: Simplify 1 into 1 9.863 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.863 * [taylor]: Taking taylor expansion of (log E) in x 9.863 * [taylor]: Taking taylor expansion of E in x 9.863 * [backup-simplify]: Simplify E into E 9.863 * [backup-simplify]: Simplify (log E) into 1 9.863 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 9.863 * [backup-simplify]: Simplify (exp (* (/ -1/2 x) (log E))) into (exp (/ -1/2 x)) 9.863 * [taylor]: Taking taylor expansion of (pow E (/ -1/2 x)) in x 9.863 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 x) (log E))) in x 9.863 * [taylor]: Taking taylor expansion of (* (/ -1/2 x) (log E)) in x 9.863 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 9.863 * [taylor]: Taking taylor expansion of -1/2 in x 9.863 * [backup-simplify]: Simplify -1/2 into -1/2 9.863 * [taylor]: Taking taylor expansion of x in x 9.863 * [backup-simplify]: Simplify 0 into 0 9.863 * [backup-simplify]: Simplify 1 into 1 9.864 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 9.864 * [taylor]: Taking taylor expansion of (log E) in x 9.864 * [taylor]: Taking taylor expansion of E in x 9.864 * [backup-simplify]: Simplify E into E 9.864 * [backup-simplify]: Simplify (log E) into 1 9.864 * [backup-simplify]: Simplify (* -1/2 1) into -1/2 9.864 * [backup-simplify]: Simplify (exp (* (/ -1/2 x) (log E))) into (exp (/ -1/2 x)) 9.864 * [backup-simplify]: Simplify (* 1 1) into 1 9.864 * [backup-simplify]: Simplify (* (exp (/ -1/2 x)) (exp (/ -1/2 x))) into (pow (exp (/ -1/2 x)) 2) 9.865 * [backup-simplify]: Simplify (+ 1 (pow (exp (/ -1/2 x)) 2)) into (+ (pow (exp (/ -1/2 x)) 2) 1) 9.865 * [backup-simplify]: Simplify (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)) into (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)) 9.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.865 * [backup-simplify]: Simplify (+ (* (exp (/ -1/2 x)) 0) (* 0 (exp (/ -1/2 x)))) into 0 9.865 * [backup-simplify]: Simplify (+ 0 0) into 0 9.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)))) into 0 9.866 * [backup-simplify]: Simplify (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)) into (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)) 9.866 * [backup-simplify]: Simplify 0 into 0 9.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.867 * [backup-simplify]: Simplify (+ (* (exp (/ -1/2 x)) 0) (+ (* 0 0) (* 0 (exp (/ -1/2 x))))) into 0 9.867 * [backup-simplify]: Simplify (+ 0 0) into 0 9.867 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)))) into 0 9.867 * [backup-simplify]: Simplify 0 into 0 9.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.869 * [backup-simplify]: Simplify (+ (* (exp (/ -1/2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1/2 x)))))) into 0 9.869 * [backup-simplify]: Simplify (+ 0 0) into 0 9.869 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)))) into 0 9.869 * [backup-simplify]: Simplify 0 into 0 9.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.871 * [backup-simplify]: Simplify (+ (* (exp (/ -1/2 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1/2 x))))))) into 0 9.871 * [backup-simplify]: Simplify (+ 0 0) into 0 9.874 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)))) into 0 9.874 * [backup-simplify]: Simplify 0 into 0 9.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.876 * [backup-simplify]: Simplify (+ (* (exp (/ -1/2 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1/2 x)))))))) into 0 9.876 * [backup-simplify]: Simplify (+ 0 0) into 0 9.877 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)))) into 0 9.877 * [backup-simplify]: Simplify 0 into 0 9.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.879 * [backup-simplify]: Simplify (+ (* (exp (/ -1/2 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1/2 x))))))))) into 0 9.879 * [backup-simplify]: Simplify (+ 0 0) into 0 9.880 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)))) into 0 9.880 * [backup-simplify]: Simplify 0 into 0 9.880 * [backup-simplify]: Simplify (sqrt (+ (pow (exp (/ -1/2 (/ 1 (- x)))) 2) 1)) into (sqrt (+ (pow (exp (* 1/2 x)) 2) 1)) 9.880 * * * [progress]: simplifying candidates 9.880 * * * * [progress]: [ 1 / 50 ] simplifiying candidate # 9.880 * * * * [progress]: [ 2 / 50 ] simplifiying candidate # 9.880 * * * * [progress]: [ 3 / 50 ] simplifiying candidate # 9.880 * * * * [progress]: [ 4 / 50 ] simplifiying candidate # 9.880 * * * * [progress]: [ 5 / 50 ] simplifiying candidate # 9.880 * * * * [progress]: [ 6 / 50 ] simplifiying candidate # 9.880 * * * * [progress]: [ 7 / 50 ] simplifiying candidate # 9.880 * * * * [progress]: [ 8 / 50 ] simplifiying candidate # 9.880 * * * * [progress]: [ 9 / 50 ] simplifiying candidate # 9.880 * * * * [progress]: [ 10 / 50 ] simplifiying candidate # 9.880 * * * * [progress]: [ 11 / 50 ] simplifiying candidate # 9.880 * * * * [progress]: [ 12 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 13 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 14 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 15 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 16 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 17 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 18 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 19 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 20 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 21 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 22 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 23 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 24 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 25 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 26 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 27 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 28 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 29 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 30 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 31 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 32 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 33 / 50 ] simplifiying candidate #real (real->posit16 (pow (exp 1) (/ x 2))))))> 9.881 * * * * [progress]: [ 34 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 35 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 36 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 37 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 38 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 39 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 40 / 50 ] simplifiying candidate # 9.881 * * * * [progress]: [ 41 / 50 ] simplifiying candidate # 9.882 * * * * [progress]: [ 42 / 50 ] simplifiying candidate # 9.882 * * * * [progress]: [ 43 / 50 ] simplifiying candidate # 9.882 * * * * [progress]: [ 44 / 50 ] simplifiying candidate #real (real->posit16 (hypot 1 (pow (exp 1) (/ x 2))))))> 9.882 * * * * [progress]: [ 45 / 50 ] simplifiying candidate # 9.882 * * * * [progress]: [ 46 / 50 ] simplifiying candidate # 9.882 * * * * [progress]: [ 47 / 50 ] simplifiying candidate # 9.882 * * * * [progress]: [ 48 / 50 ] simplifiying candidate # 9.882 * * * * [progress]: [ 49 / 50 ] simplifiying candidate # 9.882 * * * * [progress]: [ 50 / 50 ] simplifiying candidate # 9.882 * [simplify]: Simplifying: (expm1 (pow (exp 1) (/ x 2))) (log1p (pow (exp 1) (/ x 2))) (* 1 (/ x 2)) (* (log (exp 1)) (/ x 2)) (* 1 (/ x 2)) (* (cbrt 1) (/ x 2)) (* (sqrt 1) (/ x 2)) (* 1 (/ x 2)) (pow (exp 1) (* (cbrt (/ x 2)) (cbrt (/ x 2)))) (pow (exp 1) (sqrt (/ x 2))) (pow (exp 1) (/ (* (cbrt x) (cbrt x)) (* (cbrt 2) (cbrt 2)))) (pow (exp 1) (/ (* (cbrt x) (cbrt x)) (sqrt 2))) (pow (exp 1) (/ (* (cbrt x) (cbrt x)) 1)) (pow (exp 1) (/ (sqrt x) (* (cbrt 2) (cbrt 2)))) (pow (exp 1) (/ (sqrt x) (sqrt 2))) (pow (exp 1) (/ (sqrt x) 1)) (pow (exp 1) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (exp 1) (/ 1 (sqrt 2))) (pow (exp 1) (/ 1 1)) (pow (exp 1) 1) (pow (exp 1) x) (pow (* (cbrt (exp 1)) (cbrt (exp 1))) (/ x 2)) (pow (cbrt (exp 1)) (/ x 2)) (pow (sqrt (exp 1)) (/ x 2)) (pow (sqrt (exp 1)) (/ x 2)) (pow 1 (/ x 2)) (pow (exp 1) (/ x 2)) (log (pow (exp 1) (/ x 2))) (exp (pow (exp 1) (/ x 2))) (* (cbrt (pow (exp 1) (/ x 2))) (cbrt (pow (exp 1) (/ x 2)))) (cbrt (pow (exp 1) (/ x 2))) (* (* (pow (exp 1) (/ x 2)) (pow (exp 1) (/ x 2))) (pow (exp 1) (/ x 2))) (sqrt (pow (exp 1) (/ x 2))) (sqrt (pow (exp 1) (/ x 2))) (pow (exp 1) (/ (/ x 2) 2)) (pow (exp 1) (/ (/ x 2) 2)) (real->posit16 (pow (exp 1) (/ x 2))) (expm1 (hypot 1 (pow (exp 1) (/ x 2)))) (log1p (hypot 1 (pow (exp 1) (/ x 2)))) (+ (* 1 1) (* (pow (exp 1) (/ x 2)) (pow (exp 1) (/ x 2)))) (log (hypot 1 (pow (exp 1) (/ x 2)))) (exp (hypot 1 (pow (exp 1) (/ x 2)))) (* (cbrt (hypot 1 (pow (exp 1) (/ x 2)))) (cbrt (hypot 1 (pow (exp 1) (/ x 2))))) (cbrt (hypot 1 (pow (exp 1) (/ x 2)))) (* (* (hypot 1 (pow (exp 1) (/ x 2))) (hypot 1 (pow (exp 1) (/ x 2)))) (hypot 1 (pow (exp 1) (/ x 2)))) (sqrt (hypot 1 (pow (exp 1) (/ x 2)))) (sqrt (hypot 1 (pow (exp 1) (/ x 2)))) (real->posit16 (hypot 1 (pow (exp 1) (/ x 2)))) (+ (* 1/2 x) (+ (* 1/8 (pow x 2)) 1)) (exp (* 1/2 x)) (exp (* 1/2 x)) (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) (sqrt (+ (pow (exp (* 1/2 x)) 2) 1)) (sqrt (+ (pow (exp (* 1/2 x)) 2) 1)) 9.883 * * [simplify]: iteration 0: 99 enodes 9.909 * * [simplify]: iteration 1: 251 enodes 9.971 * * [simplify]: iteration 2: 582 enodes 10.379 * * [simplify]: iteration 3: 1774 enodes 11.085 * * [simplify]: iteration complete: 5006 enodes 11.085 * * [simplify]: Extracting #0: cost 40 inf + 0 11.087 * * [simplify]: Extracting #1: cost 389 inf + 2 11.094 * * [simplify]: Extracting #2: cost 1332 inf + 960 11.133 * * [simplify]: Extracting #3: cost 1391 inf + 53499 11.202 * * [simplify]: Extracting #4: cost 643 inf + 211346 11.280 * * [simplify]: Extracting #5: cost 228 inf + 361202 11.361 * * [simplify]: Extracting #6: cost 95 inf + 415590 11.426 * * [simplify]: Extracting #7: cost 7 inf + 448534 11.489 * * [simplify]: Extracting #8: cost 0 inf + 451900 11.591 * [simplify]: Simplified to: (expm1 (sqrt (exp x))) (log1p (sqrt (exp x))) (* 1/2 x) (* 1/2 x) (* 1/2 x) (* 1/2 x) (* 1/2 x) (* 1/2 x) (pow E (* (cbrt (* 1/2 x)) (cbrt (* 1/2 x)))) (pow E (sqrt (* 1/2 x))) (pow E (* (/ (cbrt x) (cbrt 2)) (/ (cbrt x) (cbrt 2)))) (pow E (/ (cbrt x) (/ (sqrt 2) (cbrt x)))) (pow E (* (cbrt x) (cbrt x))) (pow E (/ (/ (sqrt x) (cbrt 2)) (cbrt 2))) (pow E (/ (sqrt x) (sqrt 2))) (pow E (sqrt x)) (pow E (/ (/ 1 (cbrt 2)) (cbrt 2))) (pow E (/ 1 (sqrt 2))) E E (exp x) (pow (* (cbrt E) (cbrt E)) (* 1/2 x)) (pow (cbrt E) (* 1/2 x)) (pow (sqrt E) (* 1/2 x)) (pow (sqrt E) (* 1/2 x)) 1 (sqrt (exp x)) (* 1/2 x) (exp (sqrt (exp x))) (* (cbrt (sqrt (exp x))) (cbrt (sqrt (exp x)))) (cbrt (sqrt (exp x))) (* (sqrt (exp x)) (exp x)) (sqrt (sqrt (exp x))) (sqrt (sqrt (exp x))) (pow E (/ x 4)) (pow E (/ x 4)) (real->posit16 (sqrt (exp x))) (expm1 (sqrt (+ (exp x) 1))) (log1p (sqrt (+ (exp x) 1))) (+ (exp x) 1) (log (sqrt (+ (exp x) 1))) (exp (sqrt (+ (exp x) 1))) (* (cbrt (sqrt (+ (exp x) 1))) (cbrt (sqrt (+ (exp x) 1)))) (cbrt (sqrt (+ (exp x) 1))) (* (sqrt (+ (exp x) 1)) (* (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1)))) (sqrt (sqrt (+ (exp x) 1))) (sqrt (sqrt (+ (exp x) 1))) (real->posit16 (sqrt (+ (exp x) 1))) (fma (* 1/8 x) x (fma 1/2 x 1)) (sqrt (exp x)) (sqrt (exp x)) (+ (fma 1/2 (/ x (sqrt 2)) (* (/ (* x x) (sqrt 2)) (- 1/4 1/16))) (sqrt 2)) (sqrt (+ (exp x) 1)) (sqrt (+ (exp x) 1)) 11.594 * * * [progress]: adding candidates to table 11.832 * * [progress]: iteration 4 / 4 11.833 * * * [progress]: picking best candidate 11.841 * * * * [pick]: Picked # 11.841 * * * [progress]: localizing error 11.858 * * * [progress]: generating rewritten candidates 11.858 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 11.858 * * * [progress]: generating series expansions 11.858 * * * * [progress]: [ 1 / 1 ] generating series at (2) 11.859 * [backup-simplify]: Simplify (hypot 1 (exp (* 1/2 x))) into (hypot 1 (exp (* 1/2 x))) 11.859 * [approximate]: Taking taylor expansion of (hypot 1 (exp (* 1/2 x))) in (x) around 0 11.859 * [taylor]: Taking taylor expansion of (hypot 1 (exp (* 1/2 x))) in x 11.859 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (* 1/2 x)) (exp (* 1/2 x))))) 11.859 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (* 1/2 x)) (exp (* 1/2 x)))) in x 11.859 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.859 * [taylor]: Taking taylor expansion of 1 in x 11.859 * [backup-simplify]: Simplify 1 into 1 11.859 * [taylor]: Taking taylor expansion of 1 in x 11.859 * [backup-simplify]: Simplify 1 into 1 11.859 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 x)) (exp (* 1/2 x))) in x 11.859 * [taylor]: Taking taylor expansion of (exp (* 1/2 x)) in x 11.859 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 11.859 * [taylor]: Taking taylor expansion of 1/2 in x 11.859 * [backup-simplify]: Simplify 1/2 into 1/2 11.859 * [taylor]: Taking taylor expansion of x in x 11.859 * [backup-simplify]: Simplify 0 into 0 11.859 * [backup-simplify]: Simplify 1 into 1 11.860 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.861 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.861 * [backup-simplify]: Simplify (exp 0) into 1 11.861 * [taylor]: Taking taylor expansion of (exp (* 1/2 x)) in x 11.861 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 11.861 * [taylor]: Taking taylor expansion of 1/2 in x 11.861 * [backup-simplify]: Simplify 1/2 into 1/2 11.861 * [taylor]: Taking taylor expansion of x in x 11.861 * [backup-simplify]: Simplify 0 into 0 11.861 * [backup-simplify]: Simplify 1 into 1 11.861 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.862 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.862 * [backup-simplify]: Simplify (exp 0) into 1 11.863 * [backup-simplify]: Simplify (* 1 1) into 1 11.863 * [backup-simplify]: Simplify (* 1 1) into 1 11.863 * [backup-simplify]: Simplify (+ 1 1) into 2 11.864 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 11.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.866 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/2 1) 1)))) into 1/2 11.867 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/2 1) 1)))) into 1/2 11.867 * [backup-simplify]: Simplify (+ (* 1 1/2) (* 1/2 1)) into 1 11.868 * [backup-simplify]: Simplify (+ 0 1) into 1 11.869 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) 11.869 * [taylor]: Taking taylor expansion of (hypot 1 (exp (* 1/2 x))) in x 11.870 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (* 1/2 x)) (exp (* 1/2 x))))) 11.870 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (* 1/2 x)) (exp (* 1/2 x)))) in x 11.870 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.870 * [taylor]: Taking taylor expansion of 1 in x 11.870 * [backup-simplify]: Simplify 1 into 1 11.870 * [taylor]: Taking taylor expansion of 1 in x 11.870 * [backup-simplify]: Simplify 1 into 1 11.870 * [taylor]: Taking taylor expansion of (* (exp (* 1/2 x)) (exp (* 1/2 x))) in x 11.870 * [taylor]: Taking taylor expansion of (exp (* 1/2 x)) in x 11.870 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 11.870 * [taylor]: Taking taylor expansion of 1/2 in x 11.870 * [backup-simplify]: Simplify 1/2 into 1/2 11.870 * [taylor]: Taking taylor expansion of x in x 11.870 * [backup-simplify]: Simplify 0 into 0 11.870 * [backup-simplify]: Simplify 1 into 1 11.870 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.871 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.871 * [backup-simplify]: Simplify (exp 0) into 1 11.871 * [taylor]: Taking taylor expansion of (exp (* 1/2 x)) in x 11.871 * [taylor]: Taking taylor expansion of (* 1/2 x) in x 11.871 * [taylor]: Taking taylor expansion of 1/2 in x 11.871 * [backup-simplify]: Simplify 1/2 into 1/2 11.871 * [taylor]: Taking taylor expansion of x in x 11.871 * [backup-simplify]: Simplify 0 into 0 11.871 * [backup-simplify]: Simplify 1 into 1 11.872 * [backup-simplify]: Simplify (* 1/2 0) into 0 11.873 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 11.873 * [backup-simplify]: Simplify (exp 0) into 1 11.873 * [backup-simplify]: Simplify (* 1 1) into 1 11.874 * [backup-simplify]: Simplify (* 1 1) into 1 11.874 * [backup-simplify]: Simplify (+ 1 1) into 2 11.874 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 11.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.876 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/2 1) 1)))) into 1/2 11.877 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/2 1) 1)))) into 1/2 11.878 * [backup-simplify]: Simplify (+ (* 1 1/2) (* 1/2 1)) into 1 11.878 * [backup-simplify]: Simplify (+ 0 1) into 1 11.880 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) 11.880 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 11.881 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 11.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 11.884 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/2 2) 2)) (* (/ (pow 0 1) 1)))) into 1/8 11.885 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 11.886 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 1/2 2) 2)) (* (/ (pow 0 1) 1)))) into 1/8 11.887 * [backup-simplify]: Simplify (+ (* 1 1/8) (+ (* 1/2 1/2) (* 1/8 1))) into 1/2 11.887 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 11.890 * [backup-simplify]: Simplify (/ (- 1/2 (pow (/ 1/2 (sqrt 2)) 2) (+)) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 11.894 * [backup-simplify]: Simplify (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) into (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) 11.899 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ (- 1/2 (* 1/4 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (pow x 2)) (+ (* (/ 1/2 (sqrt 2)) x) (sqrt 2))) into (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) 11.899 * [backup-simplify]: Simplify (hypot 1 (exp (* 1/2 (/ 1 x)))) into (hypot 1 (exp (/ 1/2 x))) 11.899 * [approximate]: Taking taylor expansion of (hypot 1 (exp (/ 1/2 x))) in (x) around 0 11.899 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ 1/2 x))) in x 11.899 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ 1/2 x)) (exp (/ 1/2 x))))) 11.899 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ 1/2 x)) (exp (/ 1/2 x)))) in x 11.899 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.899 * [taylor]: Taking taylor expansion of 1 in x 11.899 * [backup-simplify]: Simplify 1 into 1 11.899 * [taylor]: Taking taylor expansion of 1 in x 11.899 * [backup-simplify]: Simplify 1 into 1 11.899 * [taylor]: Taking taylor expansion of (* (exp (/ 1/2 x)) (exp (/ 1/2 x))) in x 11.899 * [taylor]: Taking taylor expansion of (exp (/ 1/2 x)) in x 11.899 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 11.899 * [taylor]: Taking taylor expansion of 1/2 in x 11.899 * [backup-simplify]: Simplify 1/2 into 1/2 11.899 * [taylor]: Taking taylor expansion of x in x 11.899 * [backup-simplify]: Simplify 0 into 0 11.899 * [backup-simplify]: Simplify 1 into 1 11.899 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.900 * [backup-simplify]: Simplify (exp (/ 1/2 x)) into (exp (/ 1/2 x)) 11.900 * [taylor]: Taking taylor expansion of (exp (/ 1/2 x)) in x 11.900 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 11.900 * [taylor]: Taking taylor expansion of 1/2 in x 11.900 * [backup-simplify]: Simplify 1/2 into 1/2 11.900 * [taylor]: Taking taylor expansion of x in x 11.900 * [backup-simplify]: Simplify 0 into 0 11.900 * [backup-simplify]: Simplify 1 into 1 11.900 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.900 * [backup-simplify]: Simplify (exp (/ 1/2 x)) into (exp (/ 1/2 x)) 11.900 * [backup-simplify]: Simplify (* 1 1) into 1 11.900 * [backup-simplify]: Simplify (* (exp (/ 1/2 x)) (exp (/ 1/2 x))) into (pow (exp (/ 1/2 x)) 2) 11.900 * [backup-simplify]: Simplify (+ 1 (pow (exp (/ 1/2 x)) 2)) into (+ (pow (exp (/ 1/2 x)) 2) 1) 11.901 * [backup-simplify]: Simplify (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)) into (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)) 11.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.901 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 x)) 0) (* 0 (exp (/ 1/2 x)))) into 0 11.901 * [backup-simplify]: Simplify (+ 0 0) into 0 11.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)))) into 0 11.901 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ 1/2 x))) in x 11.901 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ 1/2 x)) (exp (/ 1/2 x))))) 11.902 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ 1/2 x)) (exp (/ 1/2 x)))) in x 11.902 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.902 * [taylor]: Taking taylor expansion of 1 in x 11.902 * [backup-simplify]: Simplify 1 into 1 11.902 * [taylor]: Taking taylor expansion of 1 in x 11.902 * [backup-simplify]: Simplify 1 into 1 11.902 * [taylor]: Taking taylor expansion of (* (exp (/ 1/2 x)) (exp (/ 1/2 x))) in x 11.902 * [taylor]: Taking taylor expansion of (exp (/ 1/2 x)) in x 11.902 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 11.902 * [taylor]: Taking taylor expansion of 1/2 in x 11.902 * [backup-simplify]: Simplify 1/2 into 1/2 11.902 * [taylor]: Taking taylor expansion of x in x 11.902 * [backup-simplify]: Simplify 0 into 0 11.902 * [backup-simplify]: Simplify 1 into 1 11.902 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.902 * [backup-simplify]: Simplify (exp (/ 1/2 x)) into (exp (/ 1/2 x)) 11.902 * [taylor]: Taking taylor expansion of (exp (/ 1/2 x)) in x 11.902 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x 11.902 * [taylor]: Taking taylor expansion of 1/2 in x 11.902 * [backup-simplify]: Simplify 1/2 into 1/2 11.902 * [taylor]: Taking taylor expansion of x in x 11.902 * [backup-simplify]: Simplify 0 into 0 11.902 * [backup-simplify]: Simplify 1 into 1 11.902 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.902 * [backup-simplify]: Simplify (exp (/ 1/2 x)) into (exp (/ 1/2 x)) 11.903 * [backup-simplify]: Simplify (* 1 1) into 1 11.903 * [backup-simplify]: Simplify (* (exp (/ 1/2 x)) (exp (/ 1/2 x))) into (pow (exp (/ 1/2 x)) 2) 11.903 * [backup-simplify]: Simplify (+ 1 (pow (exp (/ 1/2 x)) 2)) into (+ (pow (exp (/ 1/2 x)) 2) 1) 11.903 * [backup-simplify]: Simplify (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)) into (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)) 11.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.907 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 x)) 0) (* 0 (exp (/ 1/2 x)))) into 0 11.908 * [backup-simplify]: Simplify (+ 0 0) into 0 11.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)))) into 0 11.908 * [backup-simplify]: Simplify (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)) into (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)) 11.908 * [backup-simplify]: Simplify 0 into 0 11.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.909 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 x)) 0) (+ (* 0 0) (* 0 (exp (/ 1/2 x))))) into 0 11.909 * [backup-simplify]: Simplify (+ 0 0) into 0 11.910 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)))) into 0 11.910 * [backup-simplify]: Simplify 0 into 0 11.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.911 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 x)))))) into 0 11.911 * [backup-simplify]: Simplify (+ 0 0) into 0 11.912 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)))) into 0 11.912 * [backup-simplify]: Simplify 0 into 0 11.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.914 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 x))))))) into 0 11.914 * [backup-simplify]: Simplify (+ 0 0) into 0 11.914 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)))) into 0 11.914 * [backup-simplify]: Simplify 0 into 0 11.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.916 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 x)))))))) into 0 11.916 * [backup-simplify]: Simplify (+ 0 0) into 0 11.917 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)))) into 0 11.917 * [backup-simplify]: Simplify 0 into 0 11.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.919 * [backup-simplify]: Simplify (+ (* (exp (/ 1/2 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ 1/2 x))))))))) into 0 11.920 * [backup-simplify]: Simplify (+ 0 0) into 0 11.920 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (exp (/ 1/2 x)) 2) 1)))) into 0 11.920 * [backup-simplify]: Simplify 0 into 0 11.920 * [backup-simplify]: Simplify (sqrt (+ (pow (exp (/ 1/2 (/ 1 x))) 2) 1)) into (sqrt (+ (pow (exp (* 1/2 x)) 2) 1)) 11.920 * [backup-simplify]: Simplify (hypot 1 (exp (* 1/2 (/ 1 (- x))))) into (hypot 1 (exp (/ -1/2 x))) 11.920 * [approximate]: Taking taylor expansion of (hypot 1 (exp (/ -1/2 x))) in (x) around 0 11.920 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ -1/2 x))) in x 11.921 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ -1/2 x)) (exp (/ -1/2 x))))) 11.921 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ -1/2 x)) (exp (/ -1/2 x)))) in x 11.921 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.921 * [taylor]: Taking taylor expansion of 1 in x 11.921 * [backup-simplify]: Simplify 1 into 1 11.921 * [taylor]: Taking taylor expansion of 1 in x 11.921 * [backup-simplify]: Simplify 1 into 1 11.921 * [taylor]: Taking taylor expansion of (* (exp (/ -1/2 x)) (exp (/ -1/2 x))) in x 11.921 * [taylor]: Taking taylor expansion of (exp (/ -1/2 x)) in x 11.921 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 11.921 * [taylor]: Taking taylor expansion of -1/2 in x 11.921 * [backup-simplify]: Simplify -1/2 into -1/2 11.921 * [taylor]: Taking taylor expansion of x in x 11.921 * [backup-simplify]: Simplify 0 into 0 11.921 * [backup-simplify]: Simplify 1 into 1 11.921 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.921 * [backup-simplify]: Simplify (exp (/ -1/2 x)) into (exp (/ -1/2 x)) 11.921 * [taylor]: Taking taylor expansion of (exp (/ -1/2 x)) in x 11.921 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 11.921 * [taylor]: Taking taylor expansion of -1/2 in x 11.921 * [backup-simplify]: Simplify -1/2 into -1/2 11.921 * [taylor]: Taking taylor expansion of x in x 11.921 * [backup-simplify]: Simplify 0 into 0 11.921 * [backup-simplify]: Simplify 1 into 1 11.921 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.922 * [backup-simplify]: Simplify (exp (/ -1/2 x)) into (exp (/ -1/2 x)) 11.922 * [backup-simplify]: Simplify (* 1 1) into 1 11.922 * [backup-simplify]: Simplify (* (exp (/ -1/2 x)) (exp (/ -1/2 x))) into (pow (exp (/ -1/2 x)) 2) 11.922 * [backup-simplify]: Simplify (+ 1 (pow (exp (/ -1/2 x)) 2)) into (+ (pow (exp (/ -1/2 x)) 2) 1) 11.922 * [backup-simplify]: Simplify (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)) into (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)) 11.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.923 * [backup-simplify]: Simplify (+ (* (exp (/ -1/2 x)) 0) (* 0 (exp (/ -1/2 x)))) into 0 11.923 * [backup-simplify]: Simplify (+ 0 0) into 0 11.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)))) into 0 11.923 * [taylor]: Taking taylor expansion of (hypot 1 (exp (/ -1/2 x))) in x 11.923 * [taylor]: Rewrote expression to (sqrt (+ (* 1 1) (* (exp (/ -1/2 x)) (exp (/ -1/2 x))))) 11.923 * [taylor]: Taking taylor expansion of (+ (* 1 1) (* (exp (/ -1/2 x)) (exp (/ -1/2 x)))) in x 11.923 * [taylor]: Taking taylor expansion of (* 1 1) in x 11.923 * [taylor]: Taking taylor expansion of 1 in x 11.923 * [backup-simplify]: Simplify 1 into 1 11.923 * [taylor]: Taking taylor expansion of 1 in x 11.923 * [backup-simplify]: Simplify 1 into 1 11.923 * [taylor]: Taking taylor expansion of (* (exp (/ -1/2 x)) (exp (/ -1/2 x))) in x 11.923 * [taylor]: Taking taylor expansion of (exp (/ -1/2 x)) in x 11.923 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 11.923 * [taylor]: Taking taylor expansion of -1/2 in x 11.923 * [backup-simplify]: Simplify -1/2 into -1/2 11.923 * [taylor]: Taking taylor expansion of x in x 11.923 * [backup-simplify]: Simplify 0 into 0 11.923 * [backup-simplify]: Simplify 1 into 1 11.923 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.923 * [backup-simplify]: Simplify (exp (/ -1/2 x)) into (exp (/ -1/2 x)) 11.923 * [taylor]: Taking taylor expansion of (exp (/ -1/2 x)) in x 11.924 * [taylor]: Taking taylor expansion of (/ -1/2 x) in x 11.924 * [taylor]: Taking taylor expansion of -1/2 in x 11.924 * [backup-simplify]: Simplify -1/2 into -1/2 11.924 * [taylor]: Taking taylor expansion of x in x 11.924 * [backup-simplify]: Simplify 0 into 0 11.924 * [backup-simplify]: Simplify 1 into 1 11.924 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2 11.924 * [backup-simplify]: Simplify (exp (/ -1/2 x)) into (exp (/ -1/2 x)) 11.924 * [backup-simplify]: Simplify (* 1 1) into 1 11.924 * [backup-simplify]: Simplify (* (exp (/ -1/2 x)) (exp (/ -1/2 x))) into (pow (exp (/ -1/2 x)) 2) 11.924 * [backup-simplify]: Simplify (+ 1 (pow (exp (/ -1/2 x)) 2)) into (+ (pow (exp (/ -1/2 x)) 2) 1) 11.924 * [backup-simplify]: Simplify (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)) into (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)) 11.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.925 * [backup-simplify]: Simplify (+ (* (exp (/ -1/2 x)) 0) (* 0 (exp (/ -1/2 x)))) into 0 11.925 * [backup-simplify]: Simplify (+ 0 0) into 0 11.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)))) into 0 11.925 * [backup-simplify]: Simplify (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)) into (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)) 11.925 * [backup-simplify]: Simplify 0 into 0 11.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.926 * [backup-simplify]: Simplify (+ (* (exp (/ -1/2 x)) 0) (+ (* 0 0) (* 0 (exp (/ -1/2 x))))) into 0 11.927 * [backup-simplify]: Simplify (+ 0 0) into 0 11.927 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)))) into 0 11.927 * [backup-simplify]: Simplify 0 into 0 11.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.929 * [backup-simplify]: Simplify (+ (* (exp (/ -1/2 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1/2 x)))))) into 0 11.929 * [backup-simplify]: Simplify (+ 0 0) into 0 11.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)))) into 0 11.930 * [backup-simplify]: Simplify 0 into 0 11.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.933 * [backup-simplify]: Simplify (+ (* (exp (/ -1/2 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1/2 x))))))) into 0 11.933 * [backup-simplify]: Simplify (+ 0 0) into 0 11.934 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)))) into 0 11.934 * [backup-simplify]: Simplify 0 into 0 11.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.937 * [backup-simplify]: Simplify (+ (* (exp (/ -1/2 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1/2 x)))))))) into 0 11.938 * [backup-simplify]: Simplify (+ 0 0) into 0 11.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)))) into 0 11.939 * [backup-simplify]: Simplify 0 into 0 11.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.942 * [backup-simplify]: Simplify (+ (* (exp (/ -1/2 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (/ -1/2 x))))))))) into 0 11.943 * [backup-simplify]: Simplify (+ 0 0) into 0 11.944 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (pow (exp (/ -1/2 x)) 2) 1)))) into 0 11.944 * [backup-simplify]: Simplify 0 into 0 11.944 * [backup-simplify]: Simplify (sqrt (+ (pow (exp (/ -1/2 (/ 1 (- x)))) 2) 1)) into (sqrt (+ (pow (exp (* 1/2 x)) 2) 1)) 11.944 * * * [progress]: simplifying candidates 11.944 * * * * [progress]: [ 1 / 14 ] simplifiying candidate # 11.944 * * * * [progress]: [ 2 / 14 ] simplifiying candidate # 11.944 * * * * [progress]: [ 3 / 14 ] simplifiying candidate # 11.945 * * * * [progress]: [ 4 / 14 ] simplifiying candidate # 11.945 * * * * [progress]: [ 5 / 14 ] simplifiying candidate # 11.945 * * * * [progress]: [ 6 / 14 ] simplifiying candidate # 11.945 * * * * [progress]: [ 7 / 14 ] simplifiying candidate # 11.945 * * * * [progress]: [ 8 / 14 ] simplifiying candidate # 11.945 * * * * [progress]: [ 9 / 14 ] simplifiying candidate # 11.945 * * * * [progress]: [ 10 / 14 ] simplifiying candidate # 11.945 * * * * [progress]: [ 11 / 14 ] simplifiying candidate #real (real->posit16 (hypot 1 (exp (* 1/2 x))))))> 11.945 * * * * [progress]: [ 12 / 14 ] simplifiying candidate # 11.945 * * * * [progress]: [ 13 / 14 ] simplifiying candidate # 11.945 * * * * [progress]: [ 14 / 14 ] simplifiying candidate # 11.946 * [simplify]: Simplifying: (expm1 (hypot 1 (exp (* 1/2 x)))) (log1p (hypot 1 (exp (* 1/2 x)))) (+ (* 1 1) (* (exp (* 1/2 x)) (exp (* 1/2 x)))) (log (hypot 1 (exp (* 1/2 x)))) (exp (hypot 1 (exp (* 1/2 x)))) (* (cbrt (hypot 1 (exp (* 1/2 x)))) (cbrt (hypot 1 (exp (* 1/2 x))))) (cbrt (hypot 1 (exp (* 1/2 x)))) (* (* (hypot 1 (exp (* 1/2 x))) (hypot 1 (exp (* 1/2 x)))) (hypot 1 (exp (* 1/2 x)))) (sqrt (hypot 1 (exp (* 1/2 x)))) (sqrt (hypot 1 (exp (* 1/2 x)))) (real->posit16 (hypot 1 (exp (* 1/2 x)))) (- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3)))) (sqrt (+ (pow (exp (* 1/2 x)) 2) 1)) (sqrt (+ (pow (exp (* 1/2 x)) 2) 1)) 11.946 * * [simplify]: iteration 0: 38 enodes 11.960 * * [simplify]: iteration 1: 78 enodes 11.979 * * [simplify]: iteration 2: 200 enodes 12.067 * * [simplify]: iteration 3: 587 enodes 12.411 * * [simplify]: iteration 4: 1989 enodes 13.641 * * [simplify]: iteration complete: 5001 enodes 13.641 * * [simplify]: Extracting #0: cost 12 inf + 0 13.642 * * [simplify]: Extracting #1: cost 124 inf + 0 13.646 * * [simplify]: Extracting #2: cost 890 inf + 804 13.658 * * [simplify]: Extracting #3: cost 956 inf + 35485 13.728 * * [simplify]: Extracting #4: cost 353 inf + 207207 13.837 * * [simplify]: Extracting #5: cost 52 inf + 324459 13.934 * * [simplify]: Extracting #6: cost 9 inf + 330252 14.034 * * [simplify]: Extracting #7: cost 0 inf + 332523 14.156 * [simplify]: Simplified to: (expm1 (sqrt (+ 1 (exp x)))) (log1p (sqrt (+ 1 (exp x)))) (+ 1 (exp x)) (log (sqrt (+ 1 (exp x)))) (exp (sqrt (+ 1 (exp x)))) (* (cbrt (sqrt (+ 1 (exp x)))) (cbrt (sqrt (+ 1 (exp x))))) (cbrt (sqrt (+ 1 (exp x)))) (* (sqrt (+ 1 (exp x))) (+ 1 (exp x))) (sqrt (sqrt (+ 1 (exp x)))) (sqrt (sqrt (+ 1 (exp x)))) (real->posit16 (sqrt (+ 1 (exp x)))) (fma (/ (* x x) (sqrt 2)) 3/16 (fma 1/2 (/ x (sqrt 2)) (sqrt 2))) (sqrt (+ 1 (exp x))) (sqrt (+ 1 (exp x))) 14.157 * * * [progress]: adding candidates to table 14.214 * [progress]: [Phase 3 of 3] Extracting. 14.215 * * [regime]: Finding splitpoints for: (# #) 14.216 * * * [regime-changes]: Trying 1 branch expressions: (x) 14.216 * * * * [regimes]: Trying to branch on x from (# #) 14.251 * * * [regime]: Found split indices: #