46.589 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.085 * * * [progress]: [2/2] Setting up program. 0.087 * [progress]: [Phase 2 of 3] Improving. 0.087 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.087 * [simplify]: Simplifying: (log (+ x (sqrt (- (* x x) 1)))) 0.088 * * [simplify]: iteration 0: 7 enodes 0.089 * * [simplify]: iteration 1: 16 enodes 0.091 * * [simplify]: iteration 2: 19 enodes 0.094 * * [simplify]: iteration 3: 35 enodes 0.102 * * [simplify]: iteration 4: 60 enodes 0.116 * * [simplify]: iteration 5: 156 enodes 0.184 * * [simplify]: iteration 6: 472 enodes 0.659 * * [simplify]: iteration 7: 1825 enodes 3.562 * * [simplify]: iteration complete: 5000 enodes 3.562 * * [simplify]: Extracting #0: cost 1 inf + 0 3.562 * * [simplify]: Extracting #1: cost 2 inf + 0 3.562 * * [simplify]: Extracting #2: cost 4 inf + 0 3.562 * * [simplify]: Extracting #3: cost 4 inf + 1 3.563 * * [simplify]: Extracting #4: cost 443 inf + 1 3.568 * * [simplify]: Extracting #5: cost 1152 inf + 9660 3.595 * * [simplify]: Extracting #6: cost 293 inf + 87865 3.635 * * [simplify]: Extracting #7: cost 1 inf + 117452 3.677 * * [simplify]: Extracting #8: cost 0 inf + 117614 3.714 * [simplify]: Simplified to: (log (+ x (sqrt (- (* x x) 1)))) 3.715 * * [progress]: iteration 1 / 4 3.715 * * * [progress]: picking best candidate 3.717 * * * * [pick]: Picked # 3.717 * * * [progress]: localizing error 3.731 * * * [progress]: generating rewritten candidates 3.731 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 3.744 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 3.765 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2 1) 3.781 * * * [progress]: generating series expansions 3.781 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 3.781 * [backup-simplify]: Simplify (sqrt (- (* x x) 1)) into (sqrt (- (pow x 2) 1)) 3.781 * [approximate]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in (x) around 0 3.782 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 3.782 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 3.782 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.782 * [taylor]: Taking taylor expansion of x in x 3.782 * [backup-simplify]: Simplify 0 into 0 3.782 * [backup-simplify]: Simplify 1 into 1 3.782 * [taylor]: Taking taylor expansion of 1 in x 3.782 * [backup-simplify]: Simplify 1 into 1 3.782 * [backup-simplify]: Simplify (- 1) into -1 3.783 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.783 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.784 * [backup-simplify]: Simplify (- 0) into 0 3.784 * [backup-simplify]: Simplify (+ 0 0) into 0 3.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.785 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 3.785 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 3.785 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.785 * [taylor]: Taking taylor expansion of x in x 3.785 * [backup-simplify]: Simplify 0 into 0 3.785 * [backup-simplify]: Simplify 1 into 1 3.785 * [taylor]: Taking taylor expansion of 1 in x 3.785 * [backup-simplify]: Simplify 1 into 1 3.785 * [backup-simplify]: Simplify (- 1) into -1 3.786 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.786 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.787 * [backup-simplify]: Simplify (- 0) into 0 3.787 * [backup-simplify]: Simplify (+ 0 0) into 0 3.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.788 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.788 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify (* 1 1) into 1 3.789 * [backup-simplify]: Simplify (- 0) into 0 3.789 * [backup-simplify]: Simplify (+ 1 0) into 1 3.792 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 3.793 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 3.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.794 * [backup-simplify]: Simplify (- 0) into 0 3.794 * [backup-simplify]: Simplify (+ 0 0) into 0 3.796 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 3.796 * [backup-simplify]: Simplify 0 into 0 3.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.797 * [backup-simplify]: Simplify (- 0) into 0 3.798 * [backup-simplify]: Simplify (+ 0 0) into 0 3.802 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 3.803 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 3.805 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow x 4)) (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (sqrt -1))) into (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 3.805 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 x) (/ 1 x)) 1)) into (sqrt (- (/ 1 (pow x 2)) 1)) 3.805 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in (x) around 0 3.805 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.805 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.805 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.805 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.805 * [taylor]: Taking taylor expansion of x in x 3.805 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify 1 into 1 3.806 * [backup-simplify]: Simplify (* 1 1) into 1 3.806 * [backup-simplify]: Simplify (/ 1 1) into 1 3.806 * [taylor]: Taking taylor expansion of 1 in x 3.806 * [backup-simplify]: Simplify 1 into 1 3.807 * [backup-simplify]: Simplify (+ 1 0) into 1 3.807 * [backup-simplify]: Simplify (sqrt 1) into 1 3.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.808 * [backup-simplify]: Simplify (+ 0 0) into 0 3.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.809 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.809 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.809 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.809 * [taylor]: Taking taylor expansion of x in x 3.809 * [backup-simplify]: Simplify 0 into 0 3.809 * [backup-simplify]: Simplify 1 into 1 3.809 * [backup-simplify]: Simplify (* 1 1) into 1 3.810 * [backup-simplify]: Simplify (/ 1 1) into 1 3.810 * [taylor]: Taking taylor expansion of 1 in x 3.810 * [backup-simplify]: Simplify 1 into 1 3.810 * [backup-simplify]: Simplify (+ 1 0) into 1 3.810 * [backup-simplify]: Simplify (sqrt 1) into 1 3.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.812 * [backup-simplify]: Simplify (+ 0 0) into 0 3.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.813 * [backup-simplify]: Simplify 1 into 1 3.813 * [backup-simplify]: Simplify 0 into 0 3.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.815 * [backup-simplify]: Simplify (- 1) into -1 3.816 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.817 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 3.817 * [backup-simplify]: Simplify -1/2 into -1/2 3.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.819 * [backup-simplify]: Simplify (- 0) into 0 3.820 * [backup-simplify]: Simplify (+ 0 0) into 0 3.821 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 3.821 * [backup-simplify]: Simplify 0 into 0 3.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.824 * [backup-simplify]: Simplify (- 0) into 0 3.824 * [backup-simplify]: Simplify (+ 0 0) into 0 3.826 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.826 * [backup-simplify]: Simplify -1/8 into -1/8 3.826 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 3.827 * [backup-simplify]: Simplify (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1)) into (sqrt (- (/ 1 (pow x 2)) 1)) 3.827 * [approximate]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in (x) around 0 3.827 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.827 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.827 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.827 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.827 * [taylor]: Taking taylor expansion of x in x 3.827 * [backup-simplify]: Simplify 0 into 0 3.827 * [backup-simplify]: Simplify 1 into 1 3.827 * [backup-simplify]: Simplify (* 1 1) into 1 3.828 * [backup-simplify]: Simplify (/ 1 1) into 1 3.828 * [taylor]: Taking taylor expansion of 1 in x 3.828 * [backup-simplify]: Simplify 1 into 1 3.828 * [backup-simplify]: Simplify (+ 1 0) into 1 3.829 * [backup-simplify]: Simplify (sqrt 1) into 1 3.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.831 * [backup-simplify]: Simplify (+ 0 0) into 0 3.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.832 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.832 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.832 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.832 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.832 * [taylor]: Taking taylor expansion of x in x 3.832 * [backup-simplify]: Simplify 0 into 0 3.832 * [backup-simplify]: Simplify 1 into 1 3.832 * [backup-simplify]: Simplify (* 1 1) into 1 3.833 * [backup-simplify]: Simplify (/ 1 1) into 1 3.833 * [taylor]: Taking taylor expansion of 1 in x 3.833 * [backup-simplify]: Simplify 1 into 1 3.833 * [backup-simplify]: Simplify (+ 1 0) into 1 3.834 * [backup-simplify]: Simplify (sqrt 1) into 1 3.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.836 * [backup-simplify]: Simplify (+ 0 0) into 0 3.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.837 * [backup-simplify]: Simplify 1 into 1 3.837 * [backup-simplify]: Simplify 0 into 0 3.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.839 * [backup-simplify]: Simplify (- 1) into -1 3.839 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.840 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 3.841 * [backup-simplify]: Simplify -1/2 into -1/2 3.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.843 * [backup-simplify]: Simplify (- 0) into 0 3.843 * [backup-simplify]: Simplify (+ 0 0) into 0 3.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 3.845 * [backup-simplify]: Simplify 0 into 0 3.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.848 * [backup-simplify]: Simplify (- 0) into 0 3.848 * [backup-simplify]: Simplify (+ 0 0) into 0 3.850 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.850 * [backup-simplify]: Simplify -1/8 into -1/8 3.850 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 (- x)) 3)) (+ (* -1/2 (/ 1 (- x))) (* 1 (/ 1 (/ 1 (- x)))))) into (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) 3.851 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 3.851 * [backup-simplify]: Simplify (+ x (sqrt (- (* x x) 1))) into (+ x (sqrt (- (pow x 2) 1))) 3.851 * [approximate]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1))) in (x) around 0 3.851 * [taylor]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1))) in x 3.851 * [taylor]: Taking taylor expansion of x in x 3.851 * [backup-simplify]: Simplify 0 into 0 3.851 * [backup-simplify]: Simplify 1 into 1 3.851 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 3.851 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 3.851 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.851 * [taylor]: Taking taylor expansion of x in x 3.851 * [backup-simplify]: Simplify 0 into 0 3.851 * [backup-simplify]: Simplify 1 into 1 3.851 * [taylor]: Taking taylor expansion of 1 in x 3.851 * [backup-simplify]: Simplify 1 into 1 3.852 * [backup-simplify]: Simplify (- 1) into -1 3.852 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.852 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.853 * [backup-simplify]: Simplify (- 0) into 0 3.853 * [backup-simplify]: Simplify (+ 0 0) into 0 3.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.854 * [taylor]: Taking taylor expansion of (+ x (sqrt (- (pow x 2) 1))) in x 3.854 * [taylor]: Taking taylor expansion of x in x 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify 1 into 1 3.854 * [taylor]: Taking taylor expansion of (sqrt (- (pow x 2) 1)) in x 3.854 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 3.854 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.854 * [taylor]: Taking taylor expansion of x in x 3.854 * [backup-simplify]: Simplify 0 into 0 3.854 * [backup-simplify]: Simplify 1 into 1 3.854 * [taylor]: Taking taylor expansion of 1 in x 3.854 * [backup-simplify]: Simplify 1 into 1 3.854 * [backup-simplify]: Simplify (- 1) into -1 3.855 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.855 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.856 * [backup-simplify]: Simplify (- 0) into 0 3.856 * [backup-simplify]: Simplify (+ 0 0) into 0 3.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 3.858 * [backup-simplify]: Simplify (+ 0 (sqrt -1)) into (sqrt -1) 3.858 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 3.859 * [backup-simplify]: Simplify (+ 1 0) into 1 3.859 * [backup-simplify]: Simplify 1 into 1 3.859 * [backup-simplify]: Simplify (* 1 1) into 1 3.859 * [backup-simplify]: Simplify (- 0) into 0 3.860 * [backup-simplify]: Simplify (+ 1 0) into 1 3.863 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 3.864 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt -1))) into (* 1/2 (/ 1 (sqrt -1))) 3.866 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) 3.867 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (+ (* 1 x) (sqrt -1))) into (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 3.868 * [backup-simplify]: Simplify (+ (/ 1 x) (sqrt (- (* (/ 1 x) (/ 1 x)) 1))) into (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) 3.868 * [approximate]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in (x) around 0 3.868 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 3.868 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.868 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.868 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.868 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.868 * [taylor]: Taking taylor expansion of x in x 3.868 * [backup-simplify]: Simplify 0 into 0 3.868 * [backup-simplify]: Simplify 1 into 1 3.868 * [backup-simplify]: Simplify (* 1 1) into 1 3.868 * [backup-simplify]: Simplify (/ 1 1) into 1 3.868 * [taylor]: Taking taylor expansion of 1 in x 3.868 * [backup-simplify]: Simplify 1 into 1 3.869 * [backup-simplify]: Simplify (+ 1 0) into 1 3.869 * [backup-simplify]: Simplify (sqrt 1) into 1 3.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.870 * [backup-simplify]: Simplify (+ 0 0) into 0 3.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.871 * [taylor]: Taking taylor expansion of x in x 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 1 into 1 3.871 * [backup-simplify]: Simplify (/ 1 1) into 1 3.871 * [taylor]: Taking taylor expansion of (+ (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 3.871 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.871 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.871 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.871 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.871 * [taylor]: Taking taylor expansion of x in x 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 1 into 1 3.872 * [backup-simplify]: Simplify (* 1 1) into 1 3.872 * [backup-simplify]: Simplify (/ 1 1) into 1 3.872 * [taylor]: Taking taylor expansion of 1 in x 3.872 * [backup-simplify]: Simplify 1 into 1 3.872 * [backup-simplify]: Simplify (+ 1 0) into 1 3.872 * [backup-simplify]: Simplify (sqrt 1) into 1 3.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.874 * [backup-simplify]: Simplify (+ 0 0) into 0 3.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.874 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.874 * [taylor]: Taking taylor expansion of x in x 3.874 * [backup-simplify]: Simplify 0 into 0 3.874 * [backup-simplify]: Simplify 1 into 1 3.874 * [backup-simplify]: Simplify (/ 1 1) into 1 3.875 * [backup-simplify]: Simplify (+ 1 1) into 2 3.875 * [backup-simplify]: Simplify 2 into 2 3.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.875 * [backup-simplify]: Simplify (+ 0 0) into 0 3.875 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.877 * [backup-simplify]: Simplify (- 1) into -1 3.877 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.878 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 3.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.880 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.880 * [backup-simplify]: Simplify -1/2 into -1/2 3.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.882 * [backup-simplify]: Simplify (- 0) into 0 3.883 * [backup-simplify]: Simplify (+ 0 0) into 0 3.884 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 3.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.885 * [backup-simplify]: Simplify (+ 0 0) into 0 3.885 * [backup-simplify]: Simplify 0 into 0 3.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.888 * [backup-simplify]: Simplify (- 0) into 0 3.888 * [backup-simplify]: Simplify (+ 0 0) into 0 3.889 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.891 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 3.891 * [backup-simplify]: Simplify -1/8 into -1/8 3.891 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 3.891 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (sqrt (- (* (/ 1 (- x)) (/ 1 (- x))) 1))) into (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) 3.891 * [approximate]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in (x) around 0 3.892 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 3.892 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.892 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.892 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.892 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.892 * [taylor]: Taking taylor expansion of x in x 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify 1 into 1 3.892 * [backup-simplify]: Simplify (* 1 1) into 1 3.892 * [backup-simplify]: Simplify (/ 1 1) into 1 3.893 * [taylor]: Taking taylor expansion of 1 in x 3.893 * [backup-simplify]: Simplify 1 into 1 3.893 * [backup-simplify]: Simplify (+ 1 0) into 1 3.893 * [backup-simplify]: Simplify (sqrt 1) into 1 3.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.895 * [backup-simplify]: Simplify (+ 0 0) into 0 3.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.896 * [taylor]: Taking taylor expansion of (/ 1 x) in x 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 3.896 * [taylor]: Taking taylor expansion of (- (sqrt (- (/ 1 (pow x 2)) 1)) (/ 1 x)) in x 3.896 * [taylor]: Taking taylor expansion of (sqrt (- (/ 1 (pow x 2)) 1)) in x 3.896 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.896 * [taylor]: Taking taylor expansion of (pow x 2) in x 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 3.897 * [backup-simplify]: Simplify (/ 1 1) into 1 3.897 * [taylor]: Taking taylor expansion of 1 in x 3.897 * [backup-simplify]: Simplify 1 into 1 3.898 * [backup-simplify]: Simplify (+ 1 0) into 1 3.898 * [backup-simplify]: Simplify (sqrt 1) into 1 3.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.900 * [backup-simplify]: Simplify (+ 0 0) into 0 3.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.901 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.901 * [taylor]: Taking taylor expansion of x in x 3.901 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify 1 into 1 3.904 * [backup-simplify]: Simplify (/ 1 1) into 1 3.904 * [backup-simplify]: Simplify (- 1) into -1 3.905 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.906 * [backup-simplify]: Simplify (- 0) into 0 3.906 * [backup-simplify]: Simplify (+ 0 0) into 0 3.906 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.908 * [backup-simplify]: Simplify (- 1) into -1 3.909 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.910 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 3.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.912 * [backup-simplify]: Simplify (- 0) into 0 3.912 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 3.912 * [backup-simplify]: Simplify -1/2 into -1/2 3.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.915 * [backup-simplify]: Simplify (- 0) into 0 3.915 * [backup-simplify]: Simplify (+ 0 0) into 0 3.917 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 3.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 3.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.921 * [backup-simplify]: Simplify (- 0) into 0 3.921 * [backup-simplify]: Simplify (+ 0 0) into 0 3.923 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 3.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.924 * [backup-simplify]: Simplify (- 0) into 0 3.924 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 3.925 * [backup-simplify]: Simplify -1/8 into -1/8 3.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.927 * [backup-simplify]: Simplify (- 0) into 0 3.928 * [backup-simplify]: Simplify (+ 0 0) into 0 3.929 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/8)) (* 2 (* -1/2 0)))) (* 2 1)) into 0 3.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.931 * [backup-simplify]: Simplify (- 0) into 0 3.931 * [backup-simplify]: Simplify (+ 0 0) into 0 3.931 * [backup-simplify]: Simplify 0 into 0 3.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.934 * [backup-simplify]: Simplify (- 0) into 0 3.934 * [backup-simplify]: Simplify (+ 0 0) into 0 3.936 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* -1/2 -1/8)))) (* 2 1)) into -1/16 3.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.937 * [backup-simplify]: Simplify (- 0) into 0 3.938 * [backup-simplify]: Simplify (+ -1/16 0) into -1/16 3.938 * [backup-simplify]: Simplify -1/16 into -1/16 3.938 * [backup-simplify]: Simplify (+ (* -1/16 (pow (/ 1 (- x)) 5)) (+ (* -1/8 (pow (/ 1 (- x)) 3)) (* -1/2 (/ 1 (- x))))) into (+ (* 1/16 (/ 1 (pow x 5))) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 3.938 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2 1) 3.939 * [backup-simplify]: Simplify (- (* x x) 1) into (- (pow x 2) 1) 3.939 * [approximate]: Taking taylor expansion of (- (pow x 2) 1) in (x) around 0 3.939 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 3.939 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.939 * [taylor]: Taking taylor expansion of x in x 3.939 * [backup-simplify]: Simplify 0 into 0 3.939 * [backup-simplify]: Simplify 1 into 1 3.939 * [taylor]: Taking taylor expansion of 1 in x 3.939 * [backup-simplify]: Simplify 1 into 1 3.939 * [taylor]: Taking taylor expansion of (- (pow x 2) 1) in x 3.939 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.939 * [taylor]: Taking taylor expansion of x in x 3.939 * [backup-simplify]: Simplify 0 into 0 3.939 * [backup-simplify]: Simplify 1 into 1 3.939 * [taylor]: Taking taylor expansion of 1 in x 3.939 * [backup-simplify]: Simplify 1 into 1 3.939 * [backup-simplify]: Simplify (- 1) into -1 3.940 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.940 * [backup-simplify]: Simplify -1 into -1 3.940 * [backup-simplify]: Simplify (- 0) into 0 3.941 * [backup-simplify]: Simplify (+ 0 0) into 0 3.941 * [backup-simplify]: Simplify 0 into 0 3.941 * [backup-simplify]: Simplify (* 1 1) into 1 3.941 * [backup-simplify]: Simplify (- 0) into 0 3.942 * [backup-simplify]: Simplify (+ 1 0) into 1 3.942 * [backup-simplify]: Simplify 1 into 1 3.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.943 * [backup-simplify]: Simplify (- 0) into 0 3.943 * [backup-simplify]: Simplify (+ 0 0) into 0 3.943 * [backup-simplify]: Simplify 0 into 0 3.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.945 * [backup-simplify]: Simplify (- 0) into 0 3.945 * [backup-simplify]: Simplify (+ 0 0) into 0 3.945 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.946 * [backup-simplify]: Simplify (- 0) into 0 3.947 * [backup-simplify]: Simplify (+ 0 0) into 0 3.947 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.948 * [backup-simplify]: Simplify (- 0) into 0 3.949 * [backup-simplify]: Simplify (+ 0 0) into 0 3.949 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.950 * [backup-simplify]: Simplify (- 0) into 0 3.951 * [backup-simplify]: Simplify (+ 0 0) into 0 3.951 * [backup-simplify]: Simplify 0 into 0 3.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.953 * [backup-simplify]: Simplify (- 0) into 0 3.953 * [backup-simplify]: Simplify (+ 0 0) into 0 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify (+ (* 1 (pow x 2)) -1) into (- (pow x 2) 1) 3.953 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) 1) into (- (/ 1 (pow x 2)) 1) 3.953 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in (x) around 0 3.954 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.954 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.954 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.954 * [taylor]: Taking taylor expansion of x in x 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 1 into 1 3.954 * [backup-simplify]: Simplify (* 1 1) into 1 3.954 * [backup-simplify]: Simplify (/ 1 1) into 1 3.954 * [taylor]: Taking taylor expansion of 1 in x 3.954 * [backup-simplify]: Simplify 1 into 1 3.954 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.954 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.955 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.955 * [taylor]: Taking taylor expansion of x in x 3.955 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify 1 into 1 3.955 * [backup-simplify]: Simplify (* 1 1) into 1 3.955 * [backup-simplify]: Simplify (/ 1 1) into 1 3.955 * [taylor]: Taking taylor expansion of 1 in x 3.955 * [backup-simplify]: Simplify 1 into 1 3.956 * [backup-simplify]: Simplify (+ 1 0) into 1 3.956 * [backup-simplify]: Simplify 1 into 1 3.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.958 * [backup-simplify]: Simplify (+ 0 0) into 0 3.958 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.960 * [backup-simplify]: Simplify (- 1) into -1 3.960 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.960 * [backup-simplify]: Simplify -1 into -1 3.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.963 * [backup-simplify]: Simplify (- 0) into 0 3.963 * [backup-simplify]: Simplify (+ 0 0) into 0 3.963 * [backup-simplify]: Simplify 0 into 0 3.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.966 * [backup-simplify]: Simplify (- 0) into 0 3.966 * [backup-simplify]: Simplify (+ 0 0) into 0 3.966 * [backup-simplify]: Simplify 0 into 0 3.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.968 * [backup-simplify]: Simplify (- 0) into 0 3.969 * [backup-simplify]: Simplify (+ 0 0) into 0 3.969 * [backup-simplify]: Simplify 0 into 0 3.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.970 * [backup-simplify]: Simplify (- 0) into 0 3.971 * [backup-simplify]: Simplify (+ 0 0) into 0 3.971 * [backup-simplify]: Simplify 0 into 0 3.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.973 * [backup-simplify]: Simplify (- 0) into 0 3.973 * [backup-simplify]: Simplify (+ 0 0) into 0 3.973 * [backup-simplify]: Simplify 0 into 0 3.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 3.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.975 * [backup-simplify]: Simplify (- 0) into 0 3.975 * [backup-simplify]: Simplify (+ 0 0) into 0 3.975 * [backup-simplify]: Simplify 0 into 0 3.975 * [backup-simplify]: Simplify (+ -1 (* 1 (pow (/ 1 (/ 1 x)) 2))) into (- (pow x 2) 1) 3.976 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) 1) into (- (/ 1 (pow x 2)) 1) 3.976 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in (x) around 0 3.976 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.976 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.976 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.976 * [taylor]: Taking taylor expansion of x in x 3.976 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify 1 into 1 3.976 * [backup-simplify]: Simplify (* 1 1) into 1 3.976 * [backup-simplify]: Simplify (/ 1 1) into 1 3.976 * [taylor]: Taking taylor expansion of 1 in x 3.976 * [backup-simplify]: Simplify 1 into 1 3.976 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) 1) in x 3.976 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.976 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.976 * [taylor]: Taking taylor expansion of x in x 3.976 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify 1 into 1 3.977 * [backup-simplify]: Simplify (* 1 1) into 1 3.977 * [backup-simplify]: Simplify (/ 1 1) into 1 3.977 * [taylor]: Taking taylor expansion of 1 in x 3.977 * [backup-simplify]: Simplify 1 into 1 3.977 * [backup-simplify]: Simplify (+ 1 0) into 1 3.977 * [backup-simplify]: Simplify 1 into 1 3.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.978 * [backup-simplify]: Simplify (+ 0 0) into 0 3.978 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.980 * [backup-simplify]: Simplify (- 1) into -1 3.980 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.980 * [backup-simplify]: Simplify -1 into -1 3.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.982 * [backup-simplify]: Simplify (- 0) into 0 3.983 * [backup-simplify]: Simplify (+ 0 0) into 0 3.983 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.985 * [backup-simplify]: Simplify (- 0) into 0 3.985 * [backup-simplify]: Simplify (+ 0 0) into 0 3.986 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.988 * [backup-simplify]: Simplify (- 0) into 0 3.989 * [backup-simplify]: Simplify (+ 0 0) into 0 3.989 * [backup-simplify]: Simplify 0 into 0 3.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.991 * [backup-simplify]: Simplify (- 0) into 0 3.991 * [backup-simplify]: Simplify (+ 0 0) into 0 3.991 * [backup-simplify]: Simplify 0 into 0 3.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 3.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.993 * [backup-simplify]: Simplify (- 0) into 0 3.993 * [backup-simplify]: Simplify (+ 0 0) into 0 3.993 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))))) into 0 3.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.995 * [backup-simplify]: Simplify (- 0) into 0 3.995 * [backup-simplify]: Simplify (+ 0 0) into 0 3.995 * [backup-simplify]: Simplify 0 into 0 3.995 * [backup-simplify]: Simplify (+ -1 (* 1 (pow (/ 1 (/ 1 (- x))) 2))) into (- (pow x 2) 1) 3.996 * * * [progress]: simplifying candidates 3.996 * * * * [progress]: [ 1 / 57 ] simplifiying candidate # 3.996 * * * * [progress]: [ 2 / 57 ] simplifiying candidate # 3.996 * * * * [progress]: [ 3 / 57 ] simplifiying candidate # 3.996 * * * * [progress]: [ 4 / 57 ] simplifiying candidate # 3.996 * * * * [progress]: [ 5 / 57 ] simplifiying candidate # 3.996 * * * * [progress]: [ 6 / 57 ] simplifiying candidate # 3.996 * * * * [progress]: [ 7 / 57 ] simplifiying candidate # 3.996 * * * * [progress]: [ 8 / 57 ] simplifiying candidate # 3.996 * * * * [progress]: [ 9 / 57 ] simplifiying candidate # 3.996 * * * * [progress]: [ 10 / 57 ] simplifiying candidate # 3.996 * * * * [progress]: [ 11 / 57 ] simplifiying candidate # 3.996 * * * * [progress]: [ 12 / 57 ] simplifiying candidate # 3.996 * * * * [progress]: [ 13 / 57 ] simplifiying candidate # 3.996 * * * * [progress]: [ 14 / 57 ] simplifiying candidate # 3.996 * * * * [progress]: [ 15 / 57 ] simplifiying candidate # 3.996 * * * * [progress]: [ 16 / 57 ] simplifiying candidate # 3.996 * * * * [progress]: [ 17 / 57 ] simplifiying candidate # 3.996 * * * * [progress]: [ 18 / 57 ] simplifiying candidate # 3.996 * * * * [progress]: [ 19 / 57 ] simplifiying candidate #real (real->posit16 (sqrt (- (* x x) 1)))))))> 3.996 * * * * [progress]: [ 20 / 57 ] simplifiying candidate # 3.996 * * * * [progress]: [ 21 / 57 ] simplifiying candidate # 3.996 * * * * [progress]: [ 22 / 57 ] simplifiying candidate # 3.996 * * * * [progress]: [ 23 / 57 ] simplifiying candidate # 3.996 * * * * [progress]: [ 24 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 25 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 26 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 27 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 28 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 29 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 30 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 31 / 57 ] simplifiying candidate #real (real->posit16 (+ x (sqrt (- (* x x) 1)))))))> 3.997 * * * * [progress]: [ 32 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 33 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 34 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 35 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 36 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 37 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 38 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 39 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 40 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 41 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 42 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 43 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 44 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 45 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 46 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 47 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 48 / 57 ] simplifiying candidate #real (real->posit16 (- (* x x) 1)))))))> 3.997 * * * * [progress]: [ 49 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 50 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 51 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 52 / 57 ] simplifiying candidate # 3.997 * * * * [progress]: [ 53 / 57 ] simplifiying candidate # 3.998 * * * * [progress]: [ 54 / 57 ] simplifiying candidate # 3.998 * * * * [progress]: [ 55 / 57 ] simplifiying candidate # 3.998 * * * * [progress]: [ 56 / 57 ] simplifiying candidate # 3.998 * * * * [progress]: [ 57 / 57 ] simplifiying candidate # 3.998 * [simplify]: Simplifying: (log (sqrt (- (* x x) 1))) (exp (sqrt (- (* x x) 1))) (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1)))) (cbrt (sqrt (- (* x x) 1))) (* (* (sqrt (- (* x x) 1)) (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1))) (sqrt (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1)))) (sqrt (cbrt (- (* x x) 1))) (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- (* x x) 1))) (sqrt 1) (sqrt (- (* x x) 1)) (sqrt (+ x (sqrt 1))) (sqrt (- x (sqrt 1))) (sqrt (+ x 1)) (sqrt (- x 1)) (sqrt (+ x 1)) (sqrt (- x 1)) (sqrt (- (pow (* x x) 3) (pow 1 3))) (sqrt (+ (* (* x x) (* x x)) (+ (* 1 1) (* (* x x) 1)))) (sqrt (- (* (* x x) (* x x)) (* 1 1))) (sqrt (+ (* x x) 1)) (/ 1 2) (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- (* x x) 1))) (real->posit16 (sqrt (- (* x x) 1))) (* (exp x) (exp (sqrt (- (* x x) 1)))) (log (+ x (sqrt (- (* x x) 1)))) (exp (+ x (sqrt (- (* x x) 1)))) (* (cbrt (+ x (sqrt (- (* x x) 1)))) (cbrt (+ x (sqrt (- (* x x) 1))))) (cbrt (+ x (sqrt (- (* x x) 1)))) (* (* (+ x (sqrt (- (* x x) 1))) (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1)))) (sqrt (+ x (sqrt (- (* x x) 1)))) (sqrt (+ x (sqrt (- (* x x) 1)))) (+ (pow x 3) (pow (sqrt (- (* x x) 1)) 3)) (+ (* x x) (- (* (sqrt (- (* x x) 1)) (sqrt (- (* x x) 1))) (* x (sqrt (- (* x x) 1))))) (- (* x x) (* (sqrt (- (* x x) 1)) (sqrt (- (* x x) 1)))) (- x (sqrt (- (* x x) 1))) (+ x (sqrt (- (* x x) 1))) (real->posit16 (+ x (sqrt (- (* x x) 1)))) (/ (exp (* x x)) (exp 1)) (log (- (* x x) 1)) (exp (- (* x x) 1)) (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))) (cbrt (- (* x x) 1)) (* (* (- (* x x) 1) (- (* x x) 1)) (- (* x x) 1)) (sqrt (- (* x x) 1)) (sqrt (- (* x x) 1)) (- (pow (* x x) 3) (pow 1 3)) (+ (* (* x x) (* x x)) (+ (* 1 1) (* (* x x) 1))) (- 1) (- (* (* x x) (* x x)) (* 1 1)) (+ (* x x) 1) (+ x (sqrt 1)) (- x (sqrt 1)) (+ x 1) (- x 1) (+ x 1) (- x 1) (- 1) (real->posit16 (- (* x x) 1)) (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (- (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) x) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (+ (* 1/16 (/ 1 (pow x 5))) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (- (pow x 2) 1) (- (pow x 2) 1) (- (pow x 2) 1) 3.999 * * [simplify]: iteration 0: 101 enodes 4.038 * * [simplify]: iteration 1: 231 enodes 4.154 * * [simplify]: iteration 2: 582 enodes 4.418 * * [simplify]: iteration 3: 1879 enodes 5.124 * * [simplify]: iteration complete: 5003 enodes 5.124 * * [simplify]: Extracting #0: cost 49 inf + 0 5.126 * * [simplify]: Extracting #1: cost 432 inf + 3 5.133 * * [simplify]: Extracting #2: cost 1352 inf + 7545 5.155 * * [simplify]: Extracting #3: cost 1642 inf + 45811 5.219 * * [simplify]: Extracting #4: cost 662 inf + 236163 5.298 * * [simplify]: Extracting #5: cost 180 inf + 366708 5.398 * * [simplify]: Extracting #6: cost 86 inf + 391394 5.506 * * [simplify]: Extracting #7: cost 7 inf + 413168 5.602 * * [simplify]: Extracting #8: cost 0 inf + 414978 5.715 * [simplify]: Simplified to: (log (sqrt (- (* x x) 1))) (exp (sqrt (- (* x x) 1))) (* (cbrt (sqrt (- (* x x) 1))) (cbrt (sqrt (- (* x x) 1)))) (cbrt (sqrt (- (* x x) 1))) (* (- (* x x) 1) (sqrt (- (* x x) 1))) (fabs (cbrt (- (* x x) 1))) (sqrt (cbrt (- (* x x) 1))) (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- (* x x) 1))) 1 (sqrt (- (* x x) 1)) (sqrt (+ 1 x)) (sqrt (- x 1)) (sqrt (+ 1 x)) (sqrt (- x 1)) (sqrt (+ 1 x)) (sqrt (- x 1)) (sqrt (- (* (* x x) (* (* x x) (* x x))) 1)) (sqrt (+ (+ 1 (* x x)) (* (* x x) (* x x)))) (sqrt (+ -1 (* (* x x) (* x x)))) (sqrt (+ (* x x) 1)) 1/2 (sqrt (sqrt (- (* x x) 1))) (sqrt (sqrt (- (* x x) 1))) (real->posit16 (sqrt (- (* x x) 1))) (exp (+ (sqrt (- (* x x) 1)) x)) (log (+ x (sqrt (- (* x x) 1)))) (exp (+ (sqrt (- (* x x) 1)) x)) (* (cbrt (+ x (sqrt (- (* x x) 1)))) (cbrt (+ x (sqrt (- (* x x) 1))))) (cbrt (+ x (sqrt (- (* x x) 1)))) (* (* (+ x (sqrt (- (* x x) 1))) (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1)))) (sqrt (+ x (sqrt (- (* x x) 1)))) (sqrt (+ x (sqrt (- (* x x) 1)))) (+ (* x (* x x)) (* (- (* x x) 1) (sqrt (- (* x x) 1)))) (+ (* x x) (* (- (sqrt (- (* x x) 1)) x) (sqrt (- (* x x) 1)))) 1 (- x (sqrt (- (* x x) 1))) (+ x (sqrt (- (* x x) 1))) (real->posit16 (+ x (sqrt (- (* x x) 1)))) (exp (- (* x x) 1)) (log (- (* x x) 1)) (exp (- (* x x) 1)) (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))) (cbrt (- (* x x) 1)) (* (- (* x x) 1) (* (- (* x x) 1) (- (* x x) 1))) (sqrt (- (* x x) 1)) (sqrt (- (* x x) 1)) (- (* (* x x) (* (* x x) (* x x))) 1) (+ (+ 1 (* x x)) (* (* x x) (* x x))) -1 (+ -1 (* (* x x) (* x x))) (+ (* x x) 1) (+ 1 x) (- x 1) (+ 1 x) (- x 1) (+ 1 x) (- x 1) -1 (real->posit16 (- (* x x) 1)) (+ (+ (* 1/8 (/ (* x x) (/ (sqrt -1) (* x x)))) (* (/ 1/2 (sqrt -1)) (* x x))) (sqrt -1)) (- x (+ (/ 1/2 x) (/ 1/8 (* x (* x x))))) (+ (- (/ 1/8 (* x (* x x))) x) (/ 1/2 x)) (+ (+ (sqrt -1) x) (* (/ 1/2 (sqrt -1)) (* x x))) (- (- (/ x 1/2) (/ 1/2 x)) (/ 1/8 (* x (* x x)))) (+ (/ 1/16 (pow x 5)) (+ (/ 1/2 x) (/ 1/8 (* x (* x x))))) (- (* x x) 1) (- (* x x) 1) (- (* x x) 1) 5.721 * * * [progress]: adding candidates to table 5.890 * * [progress]: iteration 2 / 4 5.890 * * * [progress]: picking best candidate 5.893 * * * * [pick]: Picked # 5.893 * * * [progress]: localizing error 5.913 * * * [progress]: generating rewritten candidates 5.913 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 5.938 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 5.944 * * * [progress]: generating series expansions 5.944 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 5.944 * [backup-simplify]: Simplify (* (sqrt (+ x 1)) (sqrt (- x 1))) into (sqrt (* (+ x 1) (- x 1))) 5.944 * [approximate]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in (x) around 0 5.944 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 5.944 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 5.944 * [taylor]: Taking taylor expansion of (+ x 1) in x 5.944 * [taylor]: Taking taylor expansion of x in x 5.944 * [backup-simplify]: Simplify 0 into 0 5.944 * [backup-simplify]: Simplify 1 into 1 5.944 * [taylor]: Taking taylor expansion of 1 in x 5.944 * [backup-simplify]: Simplify 1 into 1 5.944 * [taylor]: Taking taylor expansion of (- x 1) in x 5.944 * [taylor]: Taking taylor expansion of x in x 5.944 * [backup-simplify]: Simplify 0 into 0 5.944 * [backup-simplify]: Simplify 1 into 1 5.944 * [taylor]: Taking taylor expansion of 1 in x 5.944 * [backup-simplify]: Simplify 1 into 1 5.945 * [backup-simplify]: Simplify (+ 0 1) into 1 5.945 * [backup-simplify]: Simplify (- 1) into -1 5.945 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.946 * [backup-simplify]: Simplify (* 1 -1) into -1 5.946 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.946 * [backup-simplify]: Simplify (- 0) into 0 5.946 * [backup-simplify]: Simplify (+ 1 0) into 1 5.947 * [backup-simplify]: Simplify (+ 1 0) into 1 5.947 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 5.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.948 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 5.948 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 5.948 * [taylor]: Taking taylor expansion of (+ x 1) in x 5.948 * [taylor]: Taking taylor expansion of x in x 5.948 * [backup-simplify]: Simplify 0 into 0 5.948 * [backup-simplify]: Simplify 1 into 1 5.948 * [taylor]: Taking taylor expansion of 1 in x 5.948 * [backup-simplify]: Simplify 1 into 1 5.948 * [taylor]: Taking taylor expansion of (- x 1) in x 5.948 * [taylor]: Taking taylor expansion of x in x 5.948 * [backup-simplify]: Simplify 0 into 0 5.948 * [backup-simplify]: Simplify 1 into 1 5.948 * [taylor]: Taking taylor expansion of 1 in x 5.948 * [backup-simplify]: Simplify 1 into 1 5.948 * [backup-simplify]: Simplify (+ 0 1) into 1 5.948 * [backup-simplify]: Simplify (- 1) into -1 5.949 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.949 * [backup-simplify]: Simplify (* 1 -1) into -1 5.949 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.949 * [backup-simplify]: Simplify (- 0) into 0 5.950 * [backup-simplify]: Simplify (+ 1 0) into 1 5.950 * [backup-simplify]: Simplify (+ 1 0) into 1 5.950 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 5.951 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 5.951 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 5.951 * [backup-simplify]: Simplify 0 into 0 5.951 * [backup-simplify]: Simplify (- 0) into 0 5.952 * [backup-simplify]: Simplify (+ 0 0) into 0 5.952 * [backup-simplify]: Simplify (+ 0 0) into 0 5.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 -1))) into 1 5.954 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 5.955 * [backup-simplify]: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) 5.955 * [backup-simplify]: Simplify (- 0) into 0 5.955 * [backup-simplify]: Simplify (+ 0 0) into 0 5.956 * [backup-simplify]: Simplify (+ 0 0) into 0 5.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 5.957 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 5.957 * [backup-simplify]: Simplify 0 into 0 5.958 * [backup-simplify]: Simplify (- 0) into 0 5.958 * [backup-simplify]: Simplify (+ 0 0) into 0 5.958 * [backup-simplify]: Simplify (+ 0 0) into 0 5.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 5.962 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ 1/8 (sqrt -1)) 5.963 * [backup-simplify]: Simplify (/ 1/8 (sqrt -1)) into (/ 1/8 (sqrt -1)) 5.964 * [backup-simplify]: Simplify (+ (* (/ 1/8 (sqrt -1)) (pow x 4)) (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (sqrt -1))) into (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 5.964 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 x) 1)) (sqrt (- (/ 1 x) 1))) into (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) 5.964 * [approximate]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in (x) around 0 5.964 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 5.964 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 5.965 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 5.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.965 * [taylor]: Taking taylor expansion of x in x 5.965 * [backup-simplify]: Simplify 0 into 0 5.965 * [backup-simplify]: Simplify 1 into 1 5.965 * [backup-simplify]: Simplify (/ 1 1) into 1 5.965 * [taylor]: Taking taylor expansion of 1 in x 5.965 * [backup-simplify]: Simplify 1 into 1 5.965 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 5.965 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.965 * [taylor]: Taking taylor expansion of x in x 5.965 * [backup-simplify]: Simplify 0 into 0 5.965 * [backup-simplify]: Simplify 1 into 1 5.965 * [backup-simplify]: Simplify (/ 1 1) into 1 5.965 * [taylor]: Taking taylor expansion of 1 in x 5.965 * [backup-simplify]: Simplify 1 into 1 5.966 * [backup-simplify]: Simplify (+ 1 0) into 1 5.966 * [backup-simplify]: Simplify (+ 1 0) into 1 5.966 * [backup-simplify]: Simplify (* 1 1) into 1 5.966 * [backup-simplify]: Simplify (sqrt 1) into 1 5.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.967 * [backup-simplify]: Simplify (- 1) into -1 5.967 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.968 * [backup-simplify]: Simplify (+ 0 1) into 1 5.969 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 5.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.969 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 5.969 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 5.969 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 5.969 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.969 * [taylor]: Taking taylor expansion of x in x 5.969 * [backup-simplify]: Simplify 0 into 0 5.969 * [backup-simplify]: Simplify 1 into 1 5.970 * [backup-simplify]: Simplify (/ 1 1) into 1 5.970 * [taylor]: Taking taylor expansion of 1 in x 5.970 * [backup-simplify]: Simplify 1 into 1 5.970 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 5.970 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.970 * [taylor]: Taking taylor expansion of x in x 5.970 * [backup-simplify]: Simplify 0 into 0 5.970 * [backup-simplify]: Simplify 1 into 1 5.970 * [backup-simplify]: Simplify (/ 1 1) into 1 5.970 * [taylor]: Taking taylor expansion of 1 in x 5.970 * [backup-simplify]: Simplify 1 into 1 5.970 * [backup-simplify]: Simplify (+ 1 0) into 1 5.971 * [backup-simplify]: Simplify (+ 1 0) into 1 5.971 * [backup-simplify]: Simplify (* 1 1) into 1 5.971 * [backup-simplify]: Simplify (sqrt 1) into 1 5.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.972 * [backup-simplify]: Simplify (- 1) into -1 5.972 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.973 * [backup-simplify]: Simplify (+ 0 1) into 1 5.973 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 5.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.974 * [backup-simplify]: Simplify 1 into 1 5.974 * [backup-simplify]: Simplify 0 into 0 5.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.975 * [backup-simplify]: Simplify (- 0) into 0 5.975 * [backup-simplify]: Simplify (+ 0 0) into 0 5.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.976 * [backup-simplify]: Simplify (+ 0 0) into 0 5.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 -1) (* 0 1))) into -1 5.978 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 5.978 * [backup-simplify]: Simplify -1/2 into -1/2 5.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.979 * [backup-simplify]: Simplify (- 0) into 0 5.979 * [backup-simplify]: Simplify (+ 0 0) into 0 5.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.980 * [backup-simplify]: Simplify (+ 0 0) into 0 5.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 -1) (* 0 1)))) into 0 5.981 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 5.981 * [backup-simplify]: Simplify 0 into 0 5.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.983 * [backup-simplify]: Simplify (- 0) into 0 5.983 * [backup-simplify]: Simplify (+ 0 0) into 0 5.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.984 * [backup-simplify]: Simplify (+ 0 0) into 0 5.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))) into 0 5.985 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 5.985 * [backup-simplify]: Simplify -1/8 into -1/8 5.986 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 1 (/ 1 (/ 1 x))))) into (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 5.986 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (- (/ 1 (- x)) 1))) into (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) 5.986 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in (x) around 0 5.986 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 5.986 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 5.986 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 5.986 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 5.986 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.986 * [taylor]: Taking taylor expansion of x in x 5.986 * [backup-simplify]: Simplify 0 into 0 5.986 * [backup-simplify]: Simplify 1 into 1 5.986 * [backup-simplify]: Simplify (/ 1 1) into 1 5.986 * [taylor]: Taking taylor expansion of 1 in x 5.986 * [backup-simplify]: Simplify 1 into 1 5.987 * [backup-simplify]: Simplify (+ 1 0) into 1 5.987 * [backup-simplify]: Simplify (- 1) into -1 5.987 * [backup-simplify]: Simplify (sqrt 0) into 0 5.987 * [backup-simplify]: Simplify (- 1) into -1 5.988 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.988 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 5.989 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 5.989 * [taylor]: Taking taylor expansion of 1 in x 5.989 * [backup-simplify]: Simplify 1 into 1 5.989 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.989 * [taylor]: Taking taylor expansion of x in x 5.989 * [backup-simplify]: Simplify 0 into 0 5.989 * [backup-simplify]: Simplify 1 into 1 5.989 * [backup-simplify]: Simplify (/ 1 1) into 1 5.989 * [backup-simplify]: Simplify (- 1) into -1 5.989 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.992 * [backup-simplify]: Simplify (sqrt 0) into 0 5.993 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.993 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 5.993 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 5.993 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 5.993 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 5.993 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.993 * [taylor]: Taking taylor expansion of x in x 5.993 * [backup-simplify]: Simplify 0 into 0 5.993 * [backup-simplify]: Simplify 1 into 1 5.993 * [backup-simplify]: Simplify (/ 1 1) into 1 5.993 * [taylor]: Taking taylor expansion of 1 in x 5.993 * [backup-simplify]: Simplify 1 into 1 5.993 * [backup-simplify]: Simplify (+ 1 0) into 1 5.994 * [backup-simplify]: Simplify (- 1) into -1 5.994 * [backup-simplify]: Simplify (sqrt 0) into 0 5.994 * [backup-simplify]: Simplify (- 1) into -1 5.995 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.995 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 5.995 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 5.995 * [taylor]: Taking taylor expansion of 1 in x 5.995 * [backup-simplify]: Simplify 1 into 1 5.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 5.995 * [taylor]: Taking taylor expansion of x in x 5.995 * [backup-simplify]: Simplify 0 into 0 5.995 * [backup-simplify]: Simplify 1 into 1 5.995 * [backup-simplify]: Simplify (/ 1 1) into 1 5.996 * [backup-simplify]: Simplify (- 1) into -1 5.996 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.996 * [backup-simplify]: Simplify (sqrt 0) into 0 5.997 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.997 * [backup-simplify]: Simplify (* 0 0) into 0 5.997 * [backup-simplify]: Simplify 0 into 0 5.998 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 5.998 * [backup-simplify]: Simplify 0 into 0 5.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.998 * [backup-simplify]: Simplify (- 0) into 0 5.999 * [backup-simplify]: Simplify (+ 1 0) into 1 6.001 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.001 * [backup-simplify]: Simplify (+ 0 1) into 1 6.002 * [backup-simplify]: Simplify (- 1) into -1 6.004 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.005 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 6.006 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.006 * [backup-simplify]: Simplify (- 0) into 0 6.007 * [backup-simplify]: Simplify (+ 0 0) into 0 6.009 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.010 * [backup-simplify]: Simplify (+ 0 0) into 0 6.010 * [backup-simplify]: Simplify (- 0) into 0 6.013 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.015 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 6.015 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.016 * [backup-simplify]: Simplify (- 0) into 0 6.016 * [backup-simplify]: Simplify (+ 0 0) into 0 6.019 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.020 * [backup-simplify]: Simplify (+ 0 0) into 0 6.020 * [backup-simplify]: Simplify (- 0) into 0 6.023 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.027 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))))) into (- +nan.0) 6.027 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.028 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 6.028 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 6.028 * [backup-simplify]: Simplify (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))) into (+ x (sqrt (* (+ x 1) (- x 1)))) 6.028 * [approximate]: Taking taylor expansion of (+ x (sqrt (* (+ x 1) (- x 1)))) in (x) around 0 6.028 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x 1) (- x 1)))) in x 6.028 * [taylor]: Taking taylor expansion of x in x 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify 1 into 1 6.028 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 6.028 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 6.028 * [taylor]: Taking taylor expansion of (+ x 1) in x 6.028 * [taylor]: Taking taylor expansion of x in x 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify 1 into 1 6.028 * [taylor]: Taking taylor expansion of 1 in x 6.028 * [backup-simplify]: Simplify 1 into 1 6.028 * [taylor]: Taking taylor expansion of (- x 1) in x 6.028 * [taylor]: Taking taylor expansion of x in x 6.028 * [backup-simplify]: Simplify 0 into 0 6.028 * [backup-simplify]: Simplify 1 into 1 6.028 * [taylor]: Taking taylor expansion of 1 in x 6.028 * [backup-simplify]: Simplify 1 into 1 6.029 * [backup-simplify]: Simplify (+ 0 1) into 1 6.029 * [backup-simplify]: Simplify (- 1) into -1 6.029 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.029 * [backup-simplify]: Simplify (* 1 -1) into -1 6.030 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 6.030 * [backup-simplify]: Simplify (- 0) into 0 6.030 * [backup-simplify]: Simplify (+ 1 0) into 1 6.030 * [backup-simplify]: Simplify (+ 1 0) into 1 6.031 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 6.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 6.031 * [taylor]: Taking taylor expansion of (+ x (sqrt (* (+ x 1) (- x 1)))) in x 6.031 * [taylor]: Taking taylor expansion of x in x 6.031 * [backup-simplify]: Simplify 0 into 0 6.031 * [backup-simplify]: Simplify 1 into 1 6.031 * [taylor]: Taking taylor expansion of (sqrt (* (+ x 1) (- x 1))) in x 6.031 * [taylor]: Taking taylor expansion of (* (+ x 1) (- x 1)) in x 6.032 * [taylor]: Taking taylor expansion of (+ x 1) in x 6.032 * [taylor]: Taking taylor expansion of x in x 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 1 into 1 6.032 * [taylor]: Taking taylor expansion of 1 in x 6.032 * [backup-simplify]: Simplify 1 into 1 6.032 * [taylor]: Taking taylor expansion of (- x 1) in x 6.032 * [taylor]: Taking taylor expansion of x in x 6.032 * [backup-simplify]: Simplify 0 into 0 6.032 * [backup-simplify]: Simplify 1 into 1 6.032 * [taylor]: Taking taylor expansion of 1 in x 6.032 * [backup-simplify]: Simplify 1 into 1 6.032 * [backup-simplify]: Simplify (+ 0 1) into 1 6.032 * [backup-simplify]: Simplify (- 1) into -1 6.033 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.033 * [backup-simplify]: Simplify (* 1 -1) into -1 6.033 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 6.034 * [backup-simplify]: Simplify (- 0) into 0 6.034 * [backup-simplify]: Simplify (+ 1 0) into 1 6.034 * [backup-simplify]: Simplify (+ 1 0) into 1 6.035 * [backup-simplify]: Simplify (+ (* 1 1) (* 1 -1)) into 0 6.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt -1))) into 0 6.036 * [backup-simplify]: Simplify (+ 0 (sqrt -1)) into (sqrt -1) 6.036 * [backup-simplify]: Simplify (sqrt -1) into (sqrt -1) 6.036 * [backup-simplify]: Simplify (+ 1 0) into 1 6.036 * [backup-simplify]: Simplify 1 into 1 6.037 * [backup-simplify]: Simplify (- 0) into 0 6.037 * [backup-simplify]: Simplify (+ 0 0) into 0 6.037 * [backup-simplify]: Simplify (+ 0 0) into 0 6.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 -1))) into 1 6.040 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) 6.041 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (sqrt -1))) into (* 1/2 (/ 1 (sqrt -1))) 6.042 * [backup-simplify]: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) 6.043 * [backup-simplify]: Simplify (+ (* (/ 1/2 (sqrt -1)) (pow x 2)) (+ (* 1 x) (sqrt -1))) into (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) 6.043 * [backup-simplify]: Simplify (+ (/ 1 x) (* (sqrt (+ (/ 1 x) 1)) (sqrt (- (/ 1 x) 1)))) into (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) 6.043 * [approximate]: Taking taylor expansion of (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) in (x) around 0 6.043 * [taylor]: Taking taylor expansion of (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) in x 6.043 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 6.043 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 6.043 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 6.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.043 * [taylor]: Taking taylor expansion of x in x 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify 1 into 1 6.043 * [backup-simplify]: Simplify (/ 1 1) into 1 6.043 * [taylor]: Taking taylor expansion of 1 in x 6.043 * [backup-simplify]: Simplify 1 into 1 6.043 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 6.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.043 * [taylor]: Taking taylor expansion of x in x 6.043 * [backup-simplify]: Simplify 0 into 0 6.043 * [backup-simplify]: Simplify 1 into 1 6.044 * [backup-simplify]: Simplify (/ 1 1) into 1 6.044 * [taylor]: Taking taylor expansion of 1 in x 6.044 * [backup-simplify]: Simplify 1 into 1 6.044 * [backup-simplify]: Simplify (+ 1 0) into 1 6.044 * [backup-simplify]: Simplify (+ 1 0) into 1 6.045 * [backup-simplify]: Simplify (* 1 1) into 1 6.045 * [backup-simplify]: Simplify (sqrt 1) into 1 6.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.045 * [backup-simplify]: Simplify (- 1) into -1 6.046 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.047 * [backup-simplify]: Simplify (+ 0 1) into 1 6.047 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 6.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.047 * [taylor]: Taking taylor expansion of x in x 6.047 * [backup-simplify]: Simplify 0 into 0 6.047 * [backup-simplify]: Simplify 1 into 1 6.048 * [backup-simplify]: Simplify (/ 1 1) into 1 6.048 * [taylor]: Taking taylor expansion of (+ (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) (/ 1 x)) in x 6.048 * [taylor]: Taking taylor expansion of (sqrt (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x 6.048 * [taylor]: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x 6.048 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 6.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.048 * [taylor]: Taking taylor expansion of x in x 6.048 * [backup-simplify]: Simplify 0 into 0 6.048 * [backup-simplify]: Simplify 1 into 1 6.048 * [backup-simplify]: Simplify (/ 1 1) into 1 6.048 * [taylor]: Taking taylor expansion of 1 in x 6.048 * [backup-simplify]: Simplify 1 into 1 6.048 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1) in x 6.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.048 * [taylor]: Taking taylor expansion of x in x 6.048 * [backup-simplify]: Simplify 0 into 0 6.048 * [backup-simplify]: Simplify 1 into 1 6.049 * [backup-simplify]: Simplify (/ 1 1) into 1 6.049 * [taylor]: Taking taylor expansion of 1 in x 6.049 * [backup-simplify]: Simplify 1 into 1 6.049 * [backup-simplify]: Simplify (+ 1 0) into 1 6.049 * [backup-simplify]: Simplify (+ 1 0) into 1 6.049 * [backup-simplify]: Simplify (* 1 1) into 1 6.050 * [backup-simplify]: Simplify (sqrt 1) into 1 6.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.050 * [backup-simplify]: Simplify (- 1) into -1 6.051 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.051 * [backup-simplify]: Simplify (+ 0 1) into 1 6.052 * [backup-simplify]: Simplify (+ (* 1 -1) (* 1 1)) into 0 6.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.052 * [taylor]: Taking taylor expansion of x in x 6.052 * [backup-simplify]: Simplify 0 into 0 6.052 * [backup-simplify]: Simplify 1 into 1 6.053 * [backup-simplify]: Simplify (/ 1 1) into 1 6.053 * [backup-simplify]: Simplify (+ 1 1) into 2 6.053 * [backup-simplify]: Simplify 2 into 2 6.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.054 * [backup-simplify]: Simplify (+ 0 0) into 0 6.054 * [backup-simplify]: Simplify 0 into 0 6.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.055 * [backup-simplify]: Simplify (- 0) into 0 6.055 * [backup-simplify]: Simplify (+ 0 0) into 0 6.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.056 * [backup-simplify]: Simplify (+ 0 0) into 0 6.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 -1) (* 0 1))) into -1 6.058 * [backup-simplify]: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 6.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.059 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 6.059 * [backup-simplify]: Simplify -1/2 into -1/2 6.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.060 * [backup-simplify]: Simplify (- 0) into 0 6.060 * [backup-simplify]: Simplify (+ 0 0) into 0 6.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.061 * [backup-simplify]: Simplify (+ 0 0) into 0 6.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 -1) (* 0 1)))) into 0 6.064 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 6.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.065 * [backup-simplify]: Simplify (+ 0 0) into 0 6.065 * [backup-simplify]: Simplify 0 into 0 6.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.066 * [backup-simplify]: Simplify (- 0) into 0 6.067 * [backup-simplify]: Simplify (+ 0 0) into 0 6.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.068 * [backup-simplify]: Simplify (+ 0 0) into 0 6.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))) into 0 6.070 * [backup-simplify]: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 6.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.070 * [backup-simplify]: Simplify (+ -1/8 0) into -1/8 6.070 * [backup-simplify]: Simplify -1/8 into -1/8 6.071 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 x) 3)) (+ (* -1/2 (/ 1 x)) (* 2 (/ 1 (/ 1 x))))) into (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) 6.071 * [backup-simplify]: Simplify (+ (/ 1 (- x)) (* (sqrt (+ (/ 1 (- x)) 1)) (sqrt (- (/ 1 (- x)) 1)))) into (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) 6.071 * [approximate]: Taking taylor expansion of (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) in (x) around 0 6.071 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) in x 6.071 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 6.071 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 6.071 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 6.071 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 6.071 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.071 * [taylor]: Taking taylor expansion of x in x 6.071 * [backup-simplify]: Simplify 0 into 0 6.071 * [backup-simplify]: Simplify 1 into 1 6.071 * [backup-simplify]: Simplify (/ 1 1) into 1 6.071 * [taylor]: Taking taylor expansion of 1 in x 6.071 * [backup-simplify]: Simplify 1 into 1 6.072 * [backup-simplify]: Simplify (+ 1 0) into 1 6.072 * [backup-simplify]: Simplify (- 1) into -1 6.072 * [backup-simplify]: Simplify (sqrt 0) into 0 6.072 * [backup-simplify]: Simplify (- 1) into -1 6.073 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.073 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 6.073 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 6.073 * [taylor]: Taking taylor expansion of 1 in x 6.073 * [backup-simplify]: Simplify 1 into 1 6.073 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.073 * [taylor]: Taking taylor expansion of x in x 6.073 * [backup-simplify]: Simplify 0 into 0 6.074 * [backup-simplify]: Simplify 1 into 1 6.074 * [backup-simplify]: Simplify (/ 1 1) into 1 6.074 * [backup-simplify]: Simplify (- 1) into -1 6.074 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.075 * [backup-simplify]: Simplify (sqrt 0) into 0 6.075 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.075 * [taylor]: Taking taylor expansion of x in x 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 1 into 1 6.076 * [backup-simplify]: Simplify (/ 1 1) into 1 6.076 * [taylor]: Taking taylor expansion of (- (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) (/ 1 x)) in x 6.076 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ (/ 1 x) 1))) (sqrt (- 1 (/ 1 x)))) in x 6.076 * [taylor]: Taking taylor expansion of (sqrt (- (+ (/ 1 x) 1))) in x 6.076 * [taylor]: Taking taylor expansion of (- (+ (/ 1 x) 1)) in x 6.076 * [taylor]: Taking taylor expansion of (+ (/ 1 x) 1) in x 6.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.076 * [taylor]: Taking taylor expansion of x in x 6.076 * [backup-simplify]: Simplify 0 into 0 6.076 * [backup-simplify]: Simplify 1 into 1 6.076 * [backup-simplify]: Simplify (/ 1 1) into 1 6.076 * [taylor]: Taking taylor expansion of 1 in x 6.076 * [backup-simplify]: Simplify 1 into 1 6.076 * [backup-simplify]: Simplify (+ 1 0) into 1 6.077 * [backup-simplify]: Simplify (- 1) into -1 6.077 * [backup-simplify]: Simplify (sqrt 0) into 0 6.077 * [backup-simplify]: Simplify (- 1) into -1 6.078 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.078 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x 6.078 * [taylor]: Taking taylor expansion of (- 1 (/ 1 x)) in x 6.078 * [taylor]: Taking taylor expansion of 1 in x 6.078 * [backup-simplify]: Simplify 1 into 1 6.078 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.078 * [taylor]: Taking taylor expansion of x in x 6.078 * [backup-simplify]: Simplify 0 into 0 6.078 * [backup-simplify]: Simplify 1 into 1 6.078 * [backup-simplify]: Simplify (/ 1 1) into 1 6.079 * [backup-simplify]: Simplify (- 1) into -1 6.079 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.079 * [backup-simplify]: Simplify (sqrt 0) into 0 6.080 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 6.080 * [taylor]: Taking taylor expansion of x in x 6.080 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify 1 into 1 6.080 * [backup-simplify]: Simplify (/ 1 1) into 1 6.081 * [backup-simplify]: Simplify (* 0 0) into 0 6.081 * [backup-simplify]: Simplify (+ 0 0) into 0 6.081 * [backup-simplify]: Simplify 0 into 0 6.081 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 6.082 * [backup-simplify]: Simplify (- 1) into -1 6.082 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.082 * [backup-simplify]: Simplify -1 into -1 6.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.083 * [backup-simplify]: Simplify (- 0) into 0 6.083 * [backup-simplify]: Simplify (+ 1 0) into 1 6.087 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.087 * [backup-simplify]: Simplify (+ 0 1) into 1 6.088 * [backup-simplify]: Simplify (- 1) into -1 6.090 * [backup-simplify]: Simplify (/ (- -1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.091 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 6.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.092 * [backup-simplify]: Simplify (- 0) into 0 6.093 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 6.093 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.094 * [backup-simplify]: Simplify (- 0) into 0 6.094 * [backup-simplify]: Simplify (+ 0 0) into 0 6.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.097 * [backup-simplify]: Simplify (+ 0 0) into 0 6.097 * [backup-simplify]: Simplify (- 0) into 0 6.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.102 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0)))) into (- +nan.0) 6.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.103 * [backup-simplify]: Simplify (- 0) into 0 6.104 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 6.104 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.105 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- x))) (+ (- +nan.0) (* -1 (/ 1 (/ 1 (- x)))))) into (- x (+ (* +nan.0 (/ 1 x)) (- +nan.0))) 6.105 * * * [progress]: simplifying candidates 6.105 * * * * [progress]: [ 1 / 62 ] simplifiying candidate # 6.105 * * * * [progress]: [ 2 / 62 ] simplifiying candidate # 6.105 * * * * [progress]: [ 3 / 62 ] simplifiying candidate # 6.105 * * * * [progress]: [ 4 / 62 ] simplifiying candidate # 6.105 * * * * [progress]: [ 5 / 62 ] simplifiying candidate # 6.105 * * * * [progress]: [ 6 / 62 ] simplifiying candidate # 6.105 * * * * [progress]: [ 7 / 62 ] simplifiying candidate # 6.105 * * * * [progress]: [ 8 / 62 ] simplifiying candidate # 6.105 * * * * [progress]: [ 9 / 62 ] simplifiying candidate # 6.105 * * * * [progress]: [ 10 / 62 ] simplifiying candidate # 6.105 * * * * [progress]: [ 11 / 62 ] simplifiying candidate # 6.105 * * * * [progress]: [ 12 / 62 ] simplifiying candidate # 6.105 * * * * [progress]: [ 13 / 62 ] simplifiying candidate # 6.105 * * * * [progress]: [ 14 / 62 ] simplifiying candidate # 6.105 * * * * [progress]: [ 15 / 62 ] simplifiying candidate # 6.105 * * * * [progress]: [ 16 / 62 ] simplifiying candidate # 6.105 * * * * [progress]: [ 17 / 62 ] simplifiying candidate # 6.105 * * * * [progress]: [ 18 / 62 ] simplifiying candidate # 6.105 * * * * [progress]: [ 19 / 62 ] simplifiying candidate # 6.105 * * * * [progress]: [ 20 / 62 ] simplifiying candidate # 6.105 * * * * [progress]: [ 21 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 22 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 23 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 24 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 25 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 26 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 27 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 28 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 29 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 30 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 31 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 32 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 33 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 34 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 35 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 36 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 37 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 38 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 39 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 40 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 41 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 42 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 43 / 62 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ x 1)) (sqrt (- x 1))))))))> 6.106 * * * * [progress]: [ 44 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 45 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 46 / 62 ] simplifiying candidate # 6.106 * * * * [progress]: [ 47 / 62 ] simplifiying candidate # 6.107 * * * * [progress]: [ 48 / 62 ] simplifiying candidate # 6.107 * * * * [progress]: [ 49 / 62 ] simplifiying candidate # 6.107 * * * * [progress]: [ 50 / 62 ] simplifiying candidate # 6.107 * * * * [progress]: [ 51 / 62 ] simplifiying candidate # 6.107 * * * * [progress]: [ 52 / 62 ] simplifiying candidate # 6.107 * * * * [progress]: [ 53 / 62 ] simplifiying candidate # 6.107 * * * * [progress]: [ 54 / 62 ] simplifiying candidate # 6.107 * * * * [progress]: [ 55 / 62 ] simplifiying candidate #real (real->posit16 (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))))))> 6.107 * * * * [progress]: [ 56 / 62 ] simplifiying candidate # 6.107 * * * * [progress]: [ 57 / 62 ] simplifiying candidate # 6.107 * * * * [progress]: [ 58 / 62 ] simplifiying candidate # 6.107 * * * * [progress]: [ 59 / 62 ] simplifiying candidate # 6.107 * * * * [progress]: [ 60 / 62 ] simplifiying candidate # 6.107 * * * * [progress]: [ 61 / 62 ] simplifiying candidate # 6.107 * * * * [progress]: [ 62 / 62 ] simplifiying candidate # 6.108 * [simplify]: Simplifying: (* (+ x 1) (- x 1)) (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (+ x 1) (- x 1)) (+ (log (sqrt (+ x 1))) (log (sqrt (- x 1)))) (log (* (sqrt (+ x 1)) (sqrt (- x 1)))) (exp (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))) (* (* (sqrt (- x 1)) (sqrt (- x 1))) (sqrt (- x 1)))) (* (cbrt (* (sqrt (+ x 1)) (sqrt (- x 1)))) (cbrt (* (sqrt (+ x 1)) (sqrt (- x 1))))) (cbrt (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (* (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (+ x 1) (- x 1)) (sqrt (* (sqrt (+ x 1)) (sqrt (- x 1)))) (sqrt (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- (pow x 3) (pow 1 3)))) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ (* x x) (+ (* 1 1) (* x 1))))) (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- (* x x) (* 1 1)))) (* (sqrt (+ (* x x) (- (* 1 1) (* x 1)))) (sqrt (+ x 1))) (* (sqrt (- (* x x) (* 1 1))) (sqrt (- (pow x 3) (pow 1 3)))) (* (sqrt (- x 1)) (sqrt (+ (* x x) (+ (* 1 1) (* x 1))))) (* (sqrt (- (* x x) (* 1 1))) (sqrt (- (* x x) (* 1 1)))) (* (sqrt (- x 1)) (sqrt (+ x 1))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (sqrt (+ x 1))) (sqrt (sqrt (- x 1)))) (* (sqrt (+ x 1)) (* (cbrt (sqrt (- x 1))) (cbrt (sqrt (- x 1))))) (* (sqrt (+ x 1)) (sqrt (* (cbrt (- x 1)) (cbrt (- x 1))))) (* (sqrt (+ x 1)) (sqrt (sqrt (- x 1)))) (* (sqrt (+ x 1)) (sqrt 1)) (* (sqrt (+ x 1)) (sqrt (+ (sqrt x) (sqrt 1)))) (* (sqrt (+ x 1)) (sqrt (+ (sqrt x) 1))) (* (sqrt (+ x 1)) (sqrt (+ (sqrt x) 1))) (* (sqrt (+ x 1)) (sqrt 1)) (* (sqrt (+ x 1)) (sqrt (sqrt (- x 1)))) (* (sqrt (+ x 1)) 1) (* (cbrt (sqrt (+ x 1))) (sqrt (- x 1))) (* (sqrt (cbrt (+ x 1))) (sqrt (- x 1))) (* (sqrt (sqrt (+ x 1))) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (sqrt (+ x 1))) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- (pow x 3) (pow 1 3)))) (* (sqrt (+ x 1)) (sqrt (- (* x x) (* 1 1)))) (* (sqrt (+ (pow x 3) (pow 1 3))) (sqrt (- x 1))) (* (sqrt (- (* x x) (* 1 1))) (sqrt (- x 1))) (real->posit16 (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (exp x) (exp (* (sqrt (+ x 1)) (sqrt (- x 1))))) (log (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (exp (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (* (cbrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (cbrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))))) (cbrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (* (* (+ x (* (sqrt (+ x 1)) (sqrt (- x 1)))) (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (sqrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (sqrt (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (+ (pow x 3) (pow (* (sqrt (+ x 1)) (sqrt (- x 1))) 3)) (+ (* x x) (- (* (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* x (* (sqrt (+ x 1)) (sqrt (- x 1)))))) (- (* x x) (* (* (sqrt (+ x 1)) (sqrt (- x 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))))) (- x (* (sqrt (+ x 1)) (sqrt (- x 1)))) (real->posit16 (+ x (* (sqrt (+ x 1)) (sqrt (- x 1))))) (+ (* 1/8 (/ (pow x 4) (sqrt -1))) (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- x (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) (+ x (+ (* 1/2 (/ (pow x 2) (sqrt -1))) (sqrt -1))) (- (* 2 x) (+ (* 1/8 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (- x (+ (* +nan.0 (/ 1 x)) (- +nan.0))) 6.109 * * [simplify]: iteration 0: 132 enodes 6.146 * * [simplify]: iteration 1: 304 enodes 6.244 * * [simplify]: iteration 2: 738 enodes 6.578 * * [simplify]: iteration 3: 2248 enodes 7.481 * * [simplify]: iteration complete: 5000 enodes 7.482 * * [simplify]: Extracting #0: cost 47 inf + 0 7.483 * * [simplify]: Extracting #1: cost 351 inf + 0 7.488 * * [simplify]: Extracting #2: cost 1210 inf + 1409 7.508 * * [simplify]: Extracting #3: cost 1160 inf + 82536 7.593 * * [simplify]: Extracting #4: cost 359 inf + 294746 7.709 * * [simplify]: Extracting #5: cost 112 inf + 372089 7.828 * * [simplify]: Extracting #6: cost 12 inf + 400209 7.941 * * [simplify]: Extracting #7: cost 0 inf + 404052 8.059 * [simplify]: Simplified to: (* (+ 1 x) (+ x -1)) (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (* (+ 1 x) (+ x -1)) (log (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (log (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (exp (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (* (* (+ 1 x) (sqrt (+ x -1))) (* (sqrt (+ 1 x)) (+ x -1))) (* (cbrt (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (cbrt (* (sqrt (+ 1 x)) (sqrt (+ x -1))))) (cbrt (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (* (* (+ 1 x) (sqrt (+ x -1))) (* (sqrt (+ 1 x)) (+ x -1))) (* (+ 1 x) (+ x -1)) (sqrt (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (sqrt (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (* (sqrt (+ (* (* x x) x) -1)) (sqrt (+ 1 (* (* x x) x)))) (* (sqrt (- (+ 1 (* x x)) x)) (sqrt (+ (* x x) (+ 1 x)))) (* (sqrt (+ -1 (* x x))) (sqrt (+ 1 (* (* x x) x)))) (* (sqrt (+ 1 x)) (sqrt (- (+ 1 (* x x)) x))) (* (sqrt (+ (* (* x x) x) -1)) (sqrt (+ -1 (* x x)))) (* (sqrt (+ (* x x) (+ 1 x))) (sqrt (+ x -1))) (+ -1 (* x x)) (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ x -1)))) (* (cbrt (sqrt (+ x -1))) (* (cbrt (sqrt (+ x -1))) (sqrt (+ 1 x)))) (* (fabs (cbrt (+ x -1))) (sqrt (+ 1 x))) (* (sqrt (+ 1 x)) (sqrt (sqrt (+ x -1)))) (sqrt (+ 1 x)) (* (sqrt (+ 1 x)) (sqrt (+ (sqrt x) 1))) (* (sqrt (+ 1 x)) (sqrt (+ (sqrt x) 1))) (* (sqrt (+ 1 x)) (sqrt (+ (sqrt x) 1))) (sqrt (+ 1 x)) (* (sqrt (+ 1 x)) (sqrt (sqrt (+ x -1)))) (sqrt (+ 1 x)) (* (cbrt (sqrt (+ 1 x))) (sqrt (+ x -1))) (* (sqrt (cbrt (+ 1 x))) (sqrt (+ x -1))) (* (sqrt (sqrt (+ 1 x))) (sqrt (+ x -1))) (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (* (sqrt (sqrt (+ 1 x))) (sqrt (+ x -1))) (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (* (sqrt (+ (* (* x x) x) -1)) (sqrt (+ 1 x))) (* (sqrt (+ 1 x)) (sqrt (+ -1 (* x x)))) (* (sqrt (+ 1 (* (* x x) x))) (sqrt (+ x -1))) (* (sqrt (+ -1 (* x x))) (sqrt (+ x -1))) (real->posit16 (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (exp (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1))))) (log (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1))))) (exp (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1))))) (* (cbrt (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1))))) (cbrt (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1)))))) (cbrt (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1))))) (* (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (* (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1)))))) (sqrt (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1))))) (sqrt (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1))))) (+ (* (* (+ 1 x) (sqrt (+ x -1))) (* (sqrt (+ 1 x)) (+ x -1))) (* (* x x) x)) (+ (* (* (sqrt (+ 1 x)) (sqrt (+ x -1))) (- (* (sqrt (+ 1 x)) (sqrt (+ x -1))) x)) (* x x)) (- (* x x) (* (+ 1 x) (+ x -1))) (- x (* (sqrt (+ 1 x)) (sqrt (+ x -1)))) (real->posit16 (+ x (* (sqrt (+ 1 x)) (sqrt (+ x -1))))) (+ (+ (* (/ 1/2 (sqrt -1)) (* x x)) (* (/ 1/8 (sqrt -1)) (* (* x x) (* x x)))) (sqrt -1)) (+ (+ (/ -1/2 x) (/ -1/8 (* (* x x) x))) x) (- (+ (- (/ (/ +nan.0 x) x) (/ +nan.0 x)) +nan.0)) (+ (+ (* (/ 1/2 (sqrt -1)) (* x x)) x) (sqrt -1)) (+ (+ (/ -1/2 x) (/ -1/8 (* (* x x) x))) (* x 2)) (+ (- x (/ +nan.0 x)) +nan.0) 8.065 * * * [progress]: adding candidates to table 8.311 * [progress]: [Phase 3 of 3] Extracting. 8.311 * * [regime]: Finding splitpoints for: (# #) 8.311 * * * [regime-changes]: Trying 3 branch expressions: ((+ x (sqrt (- (* x x) 1))) (log (+ x (sqrt (- (* x x) 1)))) x) 8.311 * * * * [regimes]: Trying to branch on (+ x (sqrt (- (* x x) 1))) from (# #) 8.331 * * * * [regimes]: Trying to branch on (log (+ x (sqrt (- (* x x) 1)))) from (# #) 8.354 * * * * [regimes]: Trying to branch on x from (# #) 8.372 * * * [regime]: Found split indices: #