6.797 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.032 * [progress]: [Phase 2 of 3] Improving. 0.032 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.032 * [simplify]: Simplifying: (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) 0.032 * * [simplify]: iteration 0: 15 enodes 0.035 * * [simplify]: iteration 1: 32 enodes 0.042 * * [simplify]: iteration 2: 94 enodes 0.085 * * [simplify]: iteration 3: 358 enodes 0.383 * * [simplify]: iteration 4: 1476 enodes 1.433 * * [simplify]: iteration complete: 5002 enodes 1.433 * * [simplify]: Extracting #0: cost 1 inf + 0 1.434 * * [simplify]: Extracting #1: cost 109 inf + 0 1.436 * * [simplify]: Extracting #2: cost 770 inf + 3 1.447 * * [simplify]: Extracting #3: cost 1369 inf + 8904 1.468 * * [simplify]: Extracting #4: cost 906 inf + 96623 1.541 * * [simplify]: Extracting #5: cost 117 inf + 235172 1.622 * * [simplify]: Extracting #6: cost 0 inf + 261572 1.708 * [simplify]: Simplified to: (/ (+ (/ (/ (/ PI (+ a b)) 2) a) (- (/ (/ (/ PI (+ a b)) 2) b))) (- b a)) 1.713 * * [progress]: iteration 1 / 4 1.713 * * * [progress]: picking best candidate 1.718 * * * * [pick]: Picked # 1.719 * * * [progress]: localizing error 1.755 * * * [progress]: generating rewritten candidates 1.755 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 1 1) 1.764 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 1.772 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.803 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.853 * * * [progress]: generating series expansions 1.853 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 1 1) 1.858 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 1.858 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 1.859 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 1.859 * [taylor]: Taking taylor expansion of PI in b 1.859 * [backup-simplify]: Simplify PI into PI 1.859 * [taylor]: Taking taylor expansion of (+ a b) in b 1.859 * [taylor]: Taking taylor expansion of a in b 1.859 * [backup-simplify]: Simplify a into a 1.859 * [taylor]: Taking taylor expansion of b in b 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify 1 into 1 1.860 * [backup-simplify]: Simplify (+ a 0) into a 1.860 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 1.860 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 1.860 * [taylor]: Taking taylor expansion of PI in a 1.861 * [backup-simplify]: Simplify PI into PI 1.861 * [taylor]: Taking taylor expansion of (+ a b) in a 1.861 * [taylor]: Taking taylor expansion of a in a 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 1 into 1 1.861 * [taylor]: Taking taylor expansion of b in a 1.861 * [backup-simplify]: Simplify b into b 1.861 * [backup-simplify]: Simplify (+ 0 b) into b 1.861 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 1.861 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 1.861 * [taylor]: Taking taylor expansion of PI in a 1.861 * [backup-simplify]: Simplify PI into PI 1.861 * [taylor]: Taking taylor expansion of (+ a b) in a 1.861 * [taylor]: Taking taylor expansion of a in a 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 1 into 1 1.861 * [taylor]: Taking taylor expansion of b in a 1.861 * [backup-simplify]: Simplify b into b 1.861 * [backup-simplify]: Simplify (+ 0 b) into b 1.861 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 1.862 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.862 * [taylor]: Taking taylor expansion of PI in b 1.862 * [backup-simplify]: Simplify PI into PI 1.862 * [taylor]: Taking taylor expansion of b in b 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 1 into 1 1.863 * [backup-simplify]: Simplify (/ PI 1) into PI 1.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.864 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify (+ 1 0) into 1 1.865 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 1.865 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 1.865 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.865 * [taylor]: Taking taylor expansion of PI in b 1.865 * [backup-simplify]: Simplify PI into PI 1.865 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.865 * [taylor]: Taking taylor expansion of b in b 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify 1 into 1 1.866 * [backup-simplify]: Simplify (* 1 1) into 1 1.866 * [backup-simplify]: Simplify (/ PI 1) into PI 1.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.871 * [backup-simplify]: Simplify (- 0) into 0 1.871 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify (+ 0 0) into 0 1.873 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 1.873 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 1.873 * [taylor]: Taking taylor expansion of PI in b 1.873 * [backup-simplify]: Simplify PI into PI 1.873 * [taylor]: Taking taylor expansion of (pow b 3) in b 1.873 * [taylor]: Taking taylor expansion of b in b 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 1 into 1 1.874 * [backup-simplify]: Simplify (* 1 1) into 1 1.874 * [backup-simplify]: Simplify (* 1 1) into 1 1.874 * [backup-simplify]: Simplify (/ PI 1) into PI 1.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.879 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.881 * [backup-simplify]: Simplify (- 0) into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 1.882 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 1.882 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 1.882 * [taylor]: Taking taylor expansion of PI in b 1.882 * [backup-simplify]: Simplify PI into PI 1.882 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.882 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.882 * [taylor]: Taking taylor expansion of a in b 1.882 * [backup-simplify]: Simplify a into a 1.882 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.882 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.882 * [taylor]: Taking taylor expansion of b in b 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.882 * [backup-simplify]: Simplify (/ 1 1) into 1 1.883 * [backup-simplify]: Simplify (+ 0 1) into 1 1.883 * [backup-simplify]: Simplify (/ PI 1) into PI 1.883 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.883 * [taylor]: Taking taylor expansion of PI in a 1.883 * [backup-simplify]: Simplify PI into PI 1.883 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.883 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.883 * [taylor]: Taking taylor expansion of a in a 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (/ 1 1) into 1 1.883 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.883 * [taylor]: Taking taylor expansion of b in a 1.883 * [backup-simplify]: Simplify b into b 1.883 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.884 * [backup-simplify]: Simplify (+ 1 0) into 1 1.884 * [backup-simplify]: Simplify (/ PI 1) into PI 1.884 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.884 * [taylor]: Taking taylor expansion of PI in a 1.884 * [backup-simplify]: Simplify PI into PI 1.884 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.884 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.884 * [taylor]: Taking taylor expansion of a in a 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.884 * [backup-simplify]: Simplify (/ 1 1) into 1 1.884 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.884 * [taylor]: Taking taylor expansion of b in a 1.884 * [backup-simplify]: Simplify b into b 1.884 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.885 * [backup-simplify]: Simplify (+ 1 0) into 1 1.885 * [backup-simplify]: Simplify (/ PI 1) into PI 1.885 * [taylor]: Taking taylor expansion of PI in b 1.885 * [backup-simplify]: Simplify PI into PI 1.885 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 1.886 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 1.886 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.886 * [taylor]: Taking taylor expansion of PI in b 1.886 * [backup-simplify]: Simplify PI into PI 1.886 * [taylor]: Taking taylor expansion of b in b 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (/ PI 1) into PI 1.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.888 * [backup-simplify]: Simplify (- 0) into 0 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.889 * [backup-simplify]: Simplify (+ 0 0) into 0 1.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 1.890 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.890 * [taylor]: Taking taylor expansion of PI in b 1.890 * [backup-simplify]: Simplify PI into PI 1.890 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.890 * [taylor]: Taking taylor expansion of b in b 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 1 into 1 1.890 * [backup-simplify]: Simplify (* 1 1) into 1 1.890 * [backup-simplify]: Simplify (/ PI 1) into PI 1.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.895 * [backup-simplify]: Simplify (- 0) into 0 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 1.895 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 1.895 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 1.895 * [taylor]: Taking taylor expansion of -1 in b 1.895 * [backup-simplify]: Simplify -1 into -1 1.895 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 1.895 * [taylor]: Taking taylor expansion of PI in b 1.895 * [backup-simplify]: Simplify PI into PI 1.895 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.895 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.895 * [taylor]: Taking taylor expansion of a in b 1.895 * [backup-simplify]: Simplify a into a 1.895 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.895 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.895 * [taylor]: Taking taylor expansion of b in b 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.895 * [backup-simplify]: Simplify (/ 1 1) into 1 1.896 * [backup-simplify]: Simplify (+ 0 1) into 1 1.896 * [backup-simplify]: Simplify (/ PI 1) into PI 1.896 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 1.896 * [taylor]: Taking taylor expansion of -1 in a 1.896 * [backup-simplify]: Simplify -1 into -1 1.896 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.896 * [taylor]: Taking taylor expansion of PI in a 1.896 * [backup-simplify]: Simplify PI into PI 1.896 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.896 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.896 * [taylor]: Taking taylor expansion of a in a 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 1 into 1 1.896 * [backup-simplify]: Simplify (/ 1 1) into 1 1.896 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.897 * [taylor]: Taking taylor expansion of b in a 1.897 * [backup-simplify]: Simplify b into b 1.897 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.897 * [backup-simplify]: Simplify (+ 1 0) into 1 1.897 * [backup-simplify]: Simplify (/ PI 1) into PI 1.897 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 1.897 * [taylor]: Taking taylor expansion of -1 in a 1.897 * [backup-simplify]: Simplify -1 into -1 1.897 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.897 * [taylor]: Taking taylor expansion of PI in a 1.897 * [backup-simplify]: Simplify PI into PI 1.897 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.897 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.897 * [taylor]: Taking taylor expansion of a in a 1.897 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify 1 into 1 1.898 * [backup-simplify]: Simplify (/ 1 1) into 1 1.898 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.898 * [taylor]: Taking taylor expansion of b in a 1.898 * [backup-simplify]: Simplify b into b 1.898 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.898 * [backup-simplify]: Simplify (+ 1 0) into 1 1.898 * [backup-simplify]: Simplify (/ PI 1) into PI 1.899 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 1.899 * [taylor]: Taking taylor expansion of (* -1 PI) in b 1.899 * [taylor]: Taking taylor expansion of -1 in b 1.899 * [backup-simplify]: Simplify -1 into -1 1.899 * [taylor]: Taking taylor expansion of PI in b 1.899 * [backup-simplify]: Simplify PI into PI 1.899 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.900 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 1.901 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 1.901 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.901 * [taylor]: Taking taylor expansion of PI in b 1.901 * [backup-simplify]: Simplify PI into PI 1.901 * [taylor]: Taking taylor expansion of b in b 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 1 into 1 1.901 * [backup-simplify]: Simplify (/ PI 1) into PI 1.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.902 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 1.903 * [backup-simplify]: Simplify 0 into 0 1.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.904 * [backup-simplify]: Simplify (+ 0 0) into 0 1.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 1.906 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 1.906 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 1.906 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.906 * [taylor]: Taking taylor expansion of PI in b 1.906 * [backup-simplify]: Simplify PI into PI 1.906 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.906 * [taylor]: Taking taylor expansion of b in b 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 1 into 1 1.906 * [backup-simplify]: Simplify (* 1 1) into 1 1.907 * [backup-simplify]: Simplify (/ PI 1) into PI 1.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.913 * [backup-simplify]: Simplify (- 0) into 0 1.913 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 1.916 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 1.916 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 1.916 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 1.916 * [taylor]: Taking taylor expansion of PI in b 1.916 * [backup-simplify]: Simplify PI into PI 1.916 * [taylor]: Taking taylor expansion of (+ a b) in b 1.916 * [taylor]: Taking taylor expansion of a in b 1.916 * [backup-simplify]: Simplify a into a 1.916 * [taylor]: Taking taylor expansion of b in b 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.916 * [backup-simplify]: Simplify (+ a 0) into a 1.916 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 1.916 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 1.916 * [taylor]: Taking taylor expansion of PI in a 1.916 * [backup-simplify]: Simplify PI into PI 1.916 * [taylor]: Taking taylor expansion of (+ a b) in a 1.916 * [taylor]: Taking taylor expansion of a in a 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.916 * [taylor]: Taking taylor expansion of b in a 1.916 * [backup-simplify]: Simplify b into b 1.917 * [backup-simplify]: Simplify (+ 0 b) into b 1.917 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 1.917 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 1.917 * [taylor]: Taking taylor expansion of PI in a 1.917 * [backup-simplify]: Simplify PI into PI 1.917 * [taylor]: Taking taylor expansion of (+ a b) in a 1.917 * [taylor]: Taking taylor expansion of a in a 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 1 into 1 1.917 * [taylor]: Taking taylor expansion of b in a 1.917 * [backup-simplify]: Simplify b into b 1.917 * [backup-simplify]: Simplify (+ 0 b) into b 1.917 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 1.917 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.917 * [taylor]: Taking taylor expansion of PI in b 1.917 * [backup-simplify]: Simplify PI into PI 1.917 * [taylor]: Taking taylor expansion of b in b 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 1 into 1 1.918 * [backup-simplify]: Simplify (/ PI 1) into PI 1.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify (+ 1 0) into 1 1.919 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 1.919 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 1.919 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.920 * [taylor]: Taking taylor expansion of PI in b 1.920 * [backup-simplify]: Simplify PI into PI 1.920 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.920 * [taylor]: Taking taylor expansion of b in b 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 1 into 1 1.920 * [backup-simplify]: Simplify (* 1 1) into 1 1.921 * [backup-simplify]: Simplify (/ PI 1) into PI 1.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.924 * [backup-simplify]: Simplify (- 0) into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify (+ 0 0) into 0 1.926 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 1.926 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 1.926 * [taylor]: Taking taylor expansion of PI in b 1.926 * [backup-simplify]: Simplify PI into PI 1.926 * [taylor]: Taking taylor expansion of (pow b 3) in b 1.927 * [taylor]: Taking taylor expansion of b in b 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (* 1 1) into 1 1.940 * [backup-simplify]: Simplify (* 1 1) into 1 1.940 * [backup-simplify]: Simplify (/ PI 1) into PI 1.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.948 * [backup-simplify]: Simplify (- 0) into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 1.949 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 1.949 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 1.949 * [taylor]: Taking taylor expansion of PI in b 1.949 * [backup-simplify]: Simplify PI into PI 1.949 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.949 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.949 * [taylor]: Taking taylor expansion of a in b 1.949 * [backup-simplify]: Simplify a into a 1.949 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.949 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.949 * [taylor]: Taking taylor expansion of b in b 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 1 into 1 1.949 * [backup-simplify]: Simplify (/ 1 1) into 1 1.950 * [backup-simplify]: Simplify (+ 0 1) into 1 1.950 * [backup-simplify]: Simplify (/ PI 1) into PI 1.950 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.950 * [taylor]: Taking taylor expansion of PI in a 1.950 * [backup-simplify]: Simplify PI into PI 1.950 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.950 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.950 * [taylor]: Taking taylor expansion of a in a 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 1 into 1 1.950 * [backup-simplify]: Simplify (/ 1 1) into 1 1.950 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.951 * [taylor]: Taking taylor expansion of b in a 1.951 * [backup-simplify]: Simplify b into b 1.951 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.951 * [backup-simplify]: Simplify (+ 1 0) into 1 1.951 * [backup-simplify]: Simplify (/ PI 1) into PI 1.951 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.951 * [taylor]: Taking taylor expansion of PI in a 1.951 * [backup-simplify]: Simplify PI into PI 1.951 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.951 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.951 * [taylor]: Taking taylor expansion of a in a 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [backup-simplify]: Simplify (/ 1 1) into 1 1.952 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.952 * [taylor]: Taking taylor expansion of b in a 1.952 * [backup-simplify]: Simplify b into b 1.952 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.952 * [backup-simplify]: Simplify (+ 1 0) into 1 1.952 * [backup-simplify]: Simplify (/ PI 1) into PI 1.952 * [taylor]: Taking taylor expansion of PI in b 1.952 * [backup-simplify]: Simplify PI into PI 1.952 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 1.953 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 1.953 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.953 * [taylor]: Taking taylor expansion of PI in b 1.953 * [backup-simplify]: Simplify PI into PI 1.953 * [taylor]: Taking taylor expansion of b in b 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.954 * [backup-simplify]: Simplify (/ PI 1) into PI 1.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.955 * [backup-simplify]: Simplify (- 0) into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.956 * [backup-simplify]: Simplify (+ 0 0) into 0 1.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 1.957 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.957 * [taylor]: Taking taylor expansion of PI in b 1.957 * [backup-simplify]: Simplify PI into PI 1.957 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.957 * [taylor]: Taking taylor expansion of b in b 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [backup-simplify]: Simplify (* 1 1) into 1 1.957 * [backup-simplify]: Simplify (/ PI 1) into PI 1.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.961 * [backup-simplify]: Simplify (- 0) into 0 1.961 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 1.962 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 1.962 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 1.962 * [taylor]: Taking taylor expansion of -1 in b 1.962 * [backup-simplify]: Simplify -1 into -1 1.962 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 1.962 * [taylor]: Taking taylor expansion of PI in b 1.962 * [backup-simplify]: Simplify PI into PI 1.962 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.962 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.962 * [taylor]: Taking taylor expansion of a in b 1.962 * [backup-simplify]: Simplify a into a 1.962 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.962 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.962 * [taylor]: Taking taylor expansion of b in b 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [backup-simplify]: Simplify (/ 1 1) into 1 1.962 * [backup-simplify]: Simplify (+ 0 1) into 1 1.963 * [backup-simplify]: Simplify (/ PI 1) into PI 1.963 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 1.963 * [taylor]: Taking taylor expansion of -1 in a 1.963 * [backup-simplify]: Simplify -1 into -1 1.963 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.963 * [taylor]: Taking taylor expansion of PI in a 1.963 * [backup-simplify]: Simplify PI into PI 1.963 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.963 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.963 * [taylor]: Taking taylor expansion of a in a 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [backup-simplify]: Simplify (/ 1 1) into 1 1.963 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.963 * [taylor]: Taking taylor expansion of b in a 1.963 * [backup-simplify]: Simplify b into b 1.963 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.964 * [backup-simplify]: Simplify (+ 1 0) into 1 1.964 * [backup-simplify]: Simplify (/ PI 1) into PI 1.964 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 1.964 * [taylor]: Taking taylor expansion of -1 in a 1.964 * [backup-simplify]: Simplify -1 into -1 1.964 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.964 * [taylor]: Taking taylor expansion of PI in a 1.964 * [backup-simplify]: Simplify PI into PI 1.964 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.964 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.964 * [taylor]: Taking taylor expansion of a in a 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.964 * [backup-simplify]: Simplify (/ 1 1) into 1 1.964 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.964 * [taylor]: Taking taylor expansion of b in a 1.964 * [backup-simplify]: Simplify b into b 1.964 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.965 * [backup-simplify]: Simplify (+ 1 0) into 1 1.965 * [backup-simplify]: Simplify (/ PI 1) into PI 1.965 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 1.965 * [taylor]: Taking taylor expansion of (* -1 PI) in b 1.965 * [taylor]: Taking taylor expansion of -1 in b 1.965 * [backup-simplify]: Simplify -1 into -1 1.965 * [taylor]: Taking taylor expansion of PI in b 1.965 * [backup-simplify]: Simplify PI into PI 1.966 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.966 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 1.967 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 1.967 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.967 * [taylor]: Taking taylor expansion of PI in b 1.967 * [backup-simplify]: Simplify PI into PI 1.967 * [taylor]: Taking taylor expansion of b in b 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (/ PI 1) into PI 1.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.970 * [backup-simplify]: Simplify (+ 0 0) into 0 1.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 1.971 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 1.971 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 1.971 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.971 * [taylor]: Taking taylor expansion of PI in b 1.971 * [backup-simplify]: Simplify PI into PI 1.971 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.971 * [taylor]: Taking taylor expansion of b in b 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (* 1 1) into 1 1.972 * [backup-simplify]: Simplify (/ PI 1) into PI 1.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.974 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.978 * [backup-simplify]: Simplify (- 0) into 0 1.978 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.981 * [backup-simplify]: Simplify (/ (/ (/ PI (+ a b)) 2) a) into (* 1/2 (/ PI (* a (+ a b)))) 1.981 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in (a b) around 0 1.981 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in b 1.981 * [taylor]: Taking taylor expansion of 1/2 in b 1.981 * [backup-simplify]: Simplify 1/2 into 1/2 1.981 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in b 1.981 * [taylor]: Taking taylor expansion of PI in b 1.981 * [backup-simplify]: Simplify PI into PI 1.981 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 1.981 * [taylor]: Taking taylor expansion of a in b 1.981 * [backup-simplify]: Simplify a into a 1.981 * [taylor]: Taking taylor expansion of (+ a b) in b 1.981 * [taylor]: Taking taylor expansion of a in b 1.982 * [backup-simplify]: Simplify a into a 1.982 * [taylor]: Taking taylor expansion of b in b 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [backup-simplify]: Simplify (+ a 0) into a 1.982 * [backup-simplify]: Simplify (* a a) into (pow a 2) 1.982 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 1.982 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 1.982 * [taylor]: Taking taylor expansion of 1/2 in a 1.982 * [backup-simplify]: Simplify 1/2 into 1/2 1.982 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 1.982 * [taylor]: Taking taylor expansion of PI in a 1.982 * [backup-simplify]: Simplify PI into PI 1.982 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 1.982 * [taylor]: Taking taylor expansion of a in a 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [taylor]: Taking taylor expansion of (+ a b) in a 1.982 * [taylor]: Taking taylor expansion of a in a 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [taylor]: Taking taylor expansion of b in a 1.982 * [backup-simplify]: Simplify b into b 1.982 * [backup-simplify]: Simplify (+ 0 b) into b 1.982 * [backup-simplify]: Simplify (* 0 b) into 0 1.983 * [backup-simplify]: Simplify (+ 1 0) into 1 1.983 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 1.983 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 1.983 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 1.983 * [taylor]: Taking taylor expansion of 1/2 in a 1.983 * [backup-simplify]: Simplify 1/2 into 1/2 1.983 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 1.983 * [taylor]: Taking taylor expansion of PI in a 1.983 * [backup-simplify]: Simplify PI into PI 1.983 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 1.983 * [taylor]: Taking taylor expansion of a in a 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 1 into 1 1.984 * [taylor]: Taking taylor expansion of (+ a b) in a 1.984 * [taylor]: Taking taylor expansion of a in a 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 1 into 1 1.984 * [taylor]: Taking taylor expansion of b in a 1.984 * [backup-simplify]: Simplify b into b 1.984 * [backup-simplify]: Simplify (+ 0 b) into b 1.984 * [backup-simplify]: Simplify (* 0 b) into 0 1.984 * [backup-simplify]: Simplify (+ 1 0) into 1 1.985 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 1.985 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 1.985 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 1.985 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 1.985 * [taylor]: Taking taylor expansion of 1/2 in b 1.985 * [backup-simplify]: Simplify 1/2 into 1/2 1.985 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.985 * [taylor]: Taking taylor expansion of PI in b 1.985 * [backup-simplify]: Simplify PI into PI 1.985 * [taylor]: Taking taylor expansion of b in b 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.986 * [backup-simplify]: Simplify (/ PI 1) into PI 1.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify (+ 0 0) into 0 1.989 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 b))) into 1 1.989 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 1.989 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 1.990 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 1.990 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 1.990 * [taylor]: Taking taylor expansion of 1/2 in b 1.990 * [backup-simplify]: Simplify 1/2 into 1/2 1.990 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.990 * [taylor]: Taking taylor expansion of PI in b 1.990 * [backup-simplify]: Simplify PI into PI 1.990 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.990 * [taylor]: Taking taylor expansion of b in b 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (* 1 1) into 1 1.991 * [backup-simplify]: Simplify (/ PI 1) into PI 1.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 1.996 * [backup-simplify]: Simplify (- 0) into 0 1.996 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (+ 0 0) into 0 1.999 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 b)))) into 0 2.000 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 2.000 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 2.000 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 2.000 * [taylor]: Taking taylor expansion of 1/2 in b 2.000 * [backup-simplify]: Simplify 1/2 into 1/2 2.000 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.000 * [taylor]: Taking taylor expansion of PI in b 2.000 * [backup-simplify]: Simplify PI into PI 2.000 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.000 * [taylor]: Taking taylor expansion of b in b 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [backup-simplify]: Simplify (* 1 1) into 1 2.001 * [backup-simplify]: Simplify (* 1 1) into 1 2.001 * [backup-simplify]: Simplify (/ PI 1) into PI 2.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.007 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.009 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.009 * [backup-simplify]: Simplify (- 0) into 0 2.009 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.010 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2) (/ 1 a)) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 2.011 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.011 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 2.011 * [taylor]: Taking taylor expansion of 1/2 in b 2.011 * [backup-simplify]: Simplify 1/2 into 1/2 2.011 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 2.011 * [taylor]: Taking taylor expansion of (* a PI) in b 2.011 * [taylor]: Taking taylor expansion of a in b 2.011 * [backup-simplify]: Simplify a into a 2.011 * [taylor]: Taking taylor expansion of PI in b 2.011 * [backup-simplify]: Simplify PI into PI 2.011 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.011 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.011 * [taylor]: Taking taylor expansion of a in b 2.011 * [backup-simplify]: Simplify a into a 2.011 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.011 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.011 * [taylor]: Taking taylor expansion of b in b 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 1 into 1 2.011 * [backup-simplify]: Simplify (/ 1 1) into 1 2.011 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.011 * [backup-simplify]: Simplify (+ 0 1) into 1 2.011 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 2.011 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 2.011 * [taylor]: Taking taylor expansion of 1/2 in a 2.011 * [backup-simplify]: Simplify 1/2 into 1/2 2.011 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 2.012 * [taylor]: Taking taylor expansion of (* a PI) in a 2.012 * [taylor]: Taking taylor expansion of a in a 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [taylor]: Taking taylor expansion of PI in a 2.012 * [backup-simplify]: Simplify PI into PI 2.012 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.012 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.012 * [taylor]: Taking taylor expansion of a in a 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify (/ 1 1) into 1 2.012 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.012 * [taylor]: Taking taylor expansion of b in a 2.012 * [backup-simplify]: Simplify b into b 2.012 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.012 * [backup-simplify]: Simplify (* 0 PI) into 0 2.013 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.013 * [backup-simplify]: Simplify (+ 1 0) into 1 2.014 * [backup-simplify]: Simplify (/ PI 1) into PI 2.014 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 2.014 * [taylor]: Taking taylor expansion of 1/2 in a 2.014 * [backup-simplify]: Simplify 1/2 into 1/2 2.014 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 2.014 * [taylor]: Taking taylor expansion of (* a PI) in a 2.014 * [taylor]: Taking taylor expansion of a in a 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [taylor]: Taking taylor expansion of PI in a 2.014 * [backup-simplify]: Simplify PI into PI 2.014 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.014 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.014 * [taylor]: Taking taylor expansion of a in a 2.014 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify 1 into 1 2.014 * [backup-simplify]: Simplify (/ 1 1) into 1 2.014 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.014 * [taylor]: Taking taylor expansion of b in a 2.014 * [backup-simplify]: Simplify b into b 2.014 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.015 * [backup-simplify]: Simplify (* 0 PI) into 0 2.016 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.016 * [backup-simplify]: Simplify (+ 1 0) into 1 2.016 * [backup-simplify]: Simplify (/ PI 1) into PI 2.017 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.017 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.017 * [taylor]: Taking taylor expansion of 1/2 in b 2.017 * [backup-simplify]: Simplify 1/2 into 1/2 2.017 * [taylor]: Taking taylor expansion of PI in b 2.017 * [backup-simplify]: Simplify PI into PI 2.017 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.017 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.018 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.019 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 2.019 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 2.019 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.019 * [taylor]: Taking taylor expansion of 1/2 in b 2.019 * [backup-simplify]: Simplify 1/2 into 1/2 2.019 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.019 * [taylor]: Taking taylor expansion of PI in b 2.019 * [backup-simplify]: Simplify PI into PI 2.019 * [taylor]: Taking taylor expansion of b in b 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify 1 into 1 2.019 * [backup-simplify]: Simplify (/ PI 1) into PI 2.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.022 * [backup-simplify]: Simplify (- 0) into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.024 * [backup-simplify]: Simplify (+ 0 0) into 0 2.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.025 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 2.025 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.025 * [taylor]: Taking taylor expansion of 1/2 in b 2.025 * [backup-simplify]: Simplify 1/2 into 1/2 2.025 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.025 * [taylor]: Taking taylor expansion of PI in b 2.025 * [backup-simplify]: Simplify PI into PI 2.025 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.025 * [taylor]: Taking taylor expansion of b in b 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 1 into 1 2.026 * [backup-simplify]: Simplify (* 1 1) into 1 2.026 * [backup-simplify]: Simplify (/ PI 1) into PI 2.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.030 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.030 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.032 * [backup-simplify]: Simplify (- 0) into 0 2.032 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ 1 (- a))) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 2.033 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.033 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 2.033 * [taylor]: Taking taylor expansion of 1/2 in b 2.033 * [backup-simplify]: Simplify 1/2 into 1/2 2.034 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 2.034 * [taylor]: Taking taylor expansion of (* a PI) in b 2.034 * [taylor]: Taking taylor expansion of a in b 2.034 * [backup-simplify]: Simplify a into a 2.034 * [taylor]: Taking taylor expansion of PI in b 2.034 * [backup-simplify]: Simplify PI into PI 2.034 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.034 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.034 * [taylor]: Taking taylor expansion of a in b 2.034 * [backup-simplify]: Simplify a into a 2.034 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.034 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.034 * [taylor]: Taking taylor expansion of b in b 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (/ 1 1) into 1 2.034 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.035 * [backup-simplify]: Simplify (+ 0 1) into 1 2.035 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 2.035 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 2.035 * [taylor]: Taking taylor expansion of 1/2 in a 2.035 * [backup-simplify]: Simplify 1/2 into 1/2 2.035 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 2.035 * [taylor]: Taking taylor expansion of (* a PI) in a 2.035 * [taylor]: Taking taylor expansion of a in a 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [taylor]: Taking taylor expansion of PI in a 2.035 * [backup-simplify]: Simplify PI into PI 2.035 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.035 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.035 * [taylor]: Taking taylor expansion of a in a 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.036 * [backup-simplify]: Simplify (/ 1 1) into 1 2.036 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.036 * [taylor]: Taking taylor expansion of b in a 2.036 * [backup-simplify]: Simplify b into b 2.036 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.036 * [backup-simplify]: Simplify (* 0 PI) into 0 2.038 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.038 * [backup-simplify]: Simplify (+ 1 0) into 1 2.039 * [backup-simplify]: Simplify (/ PI 1) into PI 2.039 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 2.039 * [taylor]: Taking taylor expansion of 1/2 in a 2.039 * [backup-simplify]: Simplify 1/2 into 1/2 2.039 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 2.039 * [taylor]: Taking taylor expansion of (* a PI) in a 2.039 * [taylor]: Taking taylor expansion of a in a 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify 1 into 1 2.039 * [taylor]: Taking taylor expansion of PI in a 2.039 * [backup-simplify]: Simplify PI into PI 2.039 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.039 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.039 * [taylor]: Taking taylor expansion of a in a 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify 1 into 1 2.040 * [backup-simplify]: Simplify (/ 1 1) into 1 2.040 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.040 * [taylor]: Taking taylor expansion of b in a 2.040 * [backup-simplify]: Simplify b into b 2.040 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.041 * [backup-simplify]: Simplify (* 0 PI) into 0 2.042 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.042 * [backup-simplify]: Simplify (+ 1 0) into 1 2.043 * [backup-simplify]: Simplify (/ PI 1) into PI 2.044 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.044 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.044 * [taylor]: Taking taylor expansion of 1/2 in b 2.044 * [backup-simplify]: Simplify 1/2 into 1/2 2.044 * [taylor]: Taking taylor expansion of PI in b 2.044 * [backup-simplify]: Simplify PI into PI 2.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.048 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.050 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.051 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 2.051 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 2.051 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.051 * [taylor]: Taking taylor expansion of 1/2 in b 2.051 * [backup-simplify]: Simplify 1/2 into 1/2 2.051 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.051 * [taylor]: Taking taylor expansion of PI in b 2.051 * [backup-simplify]: Simplify PI into PI 2.051 * [taylor]: Taking taylor expansion of b in b 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (/ PI 1) into PI 2.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.055 * [backup-simplify]: Simplify (- 0) into 0 2.055 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.059 * [backup-simplify]: Simplify (+ 0 0) into 0 2.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.061 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 2.061 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.061 * [taylor]: Taking taylor expansion of 1/2 in b 2.061 * [backup-simplify]: Simplify 1/2 into 1/2 2.061 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.061 * [taylor]: Taking taylor expansion of PI in b 2.061 * [backup-simplify]: Simplify PI into PI 2.061 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.061 * [taylor]: Taking taylor expansion of b in b 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.062 * [backup-simplify]: Simplify (* 1 1) into 1 2.062 * [backup-simplify]: Simplify (/ PI 1) into PI 2.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.069 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.072 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.072 * [backup-simplify]: Simplify (- 0) into 0 2.072 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 2.074 * [backup-simplify]: Simplify (/ (/ (/ PI (+ a b)) 2) b) into (* 1/2 (/ PI (* b (+ a b)))) 2.074 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in (a b) around 0 2.074 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in b 2.074 * [taylor]: Taking taylor expansion of 1/2 in b 2.074 * [backup-simplify]: Simplify 1/2 into 1/2 2.074 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in b 2.074 * [taylor]: Taking taylor expansion of PI in b 2.074 * [backup-simplify]: Simplify PI into PI 2.074 * [taylor]: Taking taylor expansion of (* b (+ a b)) in b 2.074 * [taylor]: Taking taylor expansion of b in b 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 1 into 1 2.075 * [taylor]: Taking taylor expansion of (+ a b) in b 2.075 * [taylor]: Taking taylor expansion of a in b 2.075 * [backup-simplify]: Simplify a into a 2.075 * [taylor]: Taking taylor expansion of b in b 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify (+ a 0) into a 2.075 * [backup-simplify]: Simplify (* 0 a) into 0 2.075 * [backup-simplify]: Simplify (+ 0 1) into 1 2.076 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 a)) into a 2.076 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.076 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in a 2.076 * [taylor]: Taking taylor expansion of 1/2 in a 2.076 * [backup-simplify]: Simplify 1/2 into 1/2 2.076 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in a 2.076 * [taylor]: Taking taylor expansion of PI in a 2.076 * [backup-simplify]: Simplify PI into PI 2.076 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 2.076 * [taylor]: Taking taylor expansion of b in a 2.076 * [backup-simplify]: Simplify b into b 2.076 * [taylor]: Taking taylor expansion of (+ a b) in a 2.076 * [taylor]: Taking taylor expansion of a in a 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [taylor]: Taking taylor expansion of b in a 2.076 * [backup-simplify]: Simplify b into b 2.076 * [backup-simplify]: Simplify (+ 0 b) into b 2.077 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.077 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 2.077 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in a 2.077 * [taylor]: Taking taylor expansion of 1/2 in a 2.077 * [backup-simplify]: Simplify 1/2 into 1/2 2.077 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in a 2.077 * [taylor]: Taking taylor expansion of PI in a 2.077 * [backup-simplify]: Simplify PI into PI 2.077 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 2.077 * [taylor]: Taking taylor expansion of b in a 2.077 * [backup-simplify]: Simplify b into b 2.077 * [taylor]: Taking taylor expansion of (+ a b) in a 2.077 * [taylor]: Taking taylor expansion of a in a 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 1 into 1 2.077 * [taylor]: Taking taylor expansion of b in a 2.077 * [backup-simplify]: Simplify b into b 2.077 * [backup-simplify]: Simplify (+ 0 b) into b 2.077 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.077 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 2.077 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 2.078 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.078 * [taylor]: Taking taylor expansion of 1/2 in b 2.078 * [backup-simplify]: Simplify 1/2 into 1/2 2.078 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.078 * [taylor]: Taking taylor expansion of PI in b 2.078 * [backup-simplify]: Simplify PI into PI 2.078 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.078 * [taylor]: Taking taylor expansion of b in b 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 1 into 1 2.078 * [backup-simplify]: Simplify (* 1 1) into 1 2.079 * [backup-simplify]: Simplify (/ PI 1) into PI 2.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify (+ 1 0) into 1 2.082 * [backup-simplify]: Simplify (+ (* b 1) (* 0 b)) into b 2.082 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ b (pow b 2))))) into (- (/ PI (pow b 3))) 2.082 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 2.082 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 2.082 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 2.082 * [taylor]: Taking taylor expansion of 1/2 in b 2.082 * [backup-simplify]: Simplify 1/2 into 1/2 2.082 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.082 * [taylor]: Taking taylor expansion of PI in b 2.082 * [backup-simplify]: Simplify PI into PI 2.082 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.082 * [taylor]: Taking taylor expansion of b in b 2.082 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 1 into 1 2.083 * [backup-simplify]: Simplify (* 1 1) into 1 2.083 * [backup-simplify]: Simplify (* 1 1) into 1 2.084 * [backup-simplify]: Simplify (/ PI 1) into PI 2.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.090 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.091 * [backup-simplify]: Simplify (- 0) into 0 2.091 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify (+ 0 0) into 0 2.095 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 1) (* 0 b))) into 0 2.095 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))) (* (- (/ PI (pow b 3))) (/ b (pow b 2))))) into (/ PI (pow b 4)) 2.096 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 4))) (+ (* 0 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 2.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 2.096 * [taylor]: Taking taylor expansion of 1/2 in b 2.096 * [backup-simplify]: Simplify 1/2 into 1/2 2.096 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 2.096 * [taylor]: Taking taylor expansion of PI in b 2.096 * [backup-simplify]: Simplify PI into PI 2.096 * [taylor]: Taking taylor expansion of (pow b 4) in b 2.096 * [taylor]: Taking taylor expansion of b in b 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 1 into 1 2.096 * [backup-simplify]: Simplify (* 1 1) into 1 2.096 * [backup-simplify]: Simplify (* 1 1) into 1 2.097 * [backup-simplify]: Simplify (/ PI 1) into PI 2.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.102 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.105 * [backup-simplify]: Simplify (- 0) into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2) (/ 1 b)) into (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) 2.107 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in b 2.107 * [taylor]: Taking taylor expansion of 1/2 in b 2.107 * [backup-simplify]: Simplify 1/2 into 1/2 2.107 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in b 2.107 * [taylor]: Taking taylor expansion of (* b PI) in b 2.107 * [taylor]: Taking taylor expansion of b in b 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.108 * [taylor]: Taking taylor expansion of PI in b 2.108 * [backup-simplify]: Simplify PI into PI 2.108 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.108 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.108 * [taylor]: Taking taylor expansion of a in b 2.108 * [backup-simplify]: Simplify a into a 2.108 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.108 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.108 * [taylor]: Taking taylor expansion of b in b 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify (/ 1 1) into 1 2.108 * [backup-simplify]: Simplify (* 0 PI) into 0 2.109 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.109 * [backup-simplify]: Simplify (+ 0 1) into 1 2.110 * [backup-simplify]: Simplify (/ PI 1) into PI 2.110 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 2.110 * [taylor]: Taking taylor expansion of 1/2 in a 2.110 * [backup-simplify]: Simplify 1/2 into 1/2 2.110 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 2.110 * [taylor]: Taking taylor expansion of (* b PI) in a 2.110 * [taylor]: Taking taylor expansion of b in a 2.110 * [backup-simplify]: Simplify b into b 2.110 * [taylor]: Taking taylor expansion of PI in a 2.110 * [backup-simplify]: Simplify PI into PI 2.110 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.110 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.110 * [taylor]: Taking taylor expansion of a in a 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (/ 1 1) into 1 2.110 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.110 * [taylor]: Taking taylor expansion of b in a 2.110 * [backup-simplify]: Simplify b into b 2.110 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.110 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.111 * [backup-simplify]: Simplify (+ 1 0) into 1 2.111 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 2.111 * [taylor]: Taking taylor expansion of 1/2 in a 2.111 * [backup-simplify]: Simplify 1/2 into 1/2 2.111 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 2.111 * [taylor]: Taking taylor expansion of (* b PI) in a 2.111 * [taylor]: Taking taylor expansion of b in a 2.111 * [backup-simplify]: Simplify b into b 2.111 * [taylor]: Taking taylor expansion of PI in a 2.111 * [backup-simplify]: Simplify PI into PI 2.111 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.111 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.111 * [taylor]: Taking taylor expansion of a in a 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (/ 1 1) into 1 2.111 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.111 * [taylor]: Taking taylor expansion of b in a 2.111 * [backup-simplify]: Simplify b into b 2.111 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.111 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.111 * [backup-simplify]: Simplify (+ 1 0) into 1 2.112 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.112 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 2.112 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 2.112 * [taylor]: Taking taylor expansion of 1/2 in b 2.112 * [backup-simplify]: Simplify 1/2 into 1/2 2.112 * [taylor]: Taking taylor expansion of (* PI b) in b 2.112 * [taylor]: Taking taylor expansion of PI in b 2.112 * [backup-simplify]: Simplify PI into PI 2.112 * [taylor]: Taking taylor expansion of b in b 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 1 into 1 2.112 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 2.113 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 2.114 * [backup-simplify]: Simplify (* PI 0) into 0 2.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.114 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 2.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.115 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 2.116 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 2.116 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 2.116 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.116 * [taylor]: Taking taylor expansion of 1/2 in b 2.116 * [backup-simplify]: Simplify 1/2 into 1/2 2.116 * [taylor]: Taking taylor expansion of PI in b 2.116 * [backup-simplify]: Simplify PI into PI 2.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.117 * [backup-simplify]: Simplify (- 0) into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 2.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.120 * [backup-simplify]: Simplify (+ 0 0) into 0 2.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 2.121 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 2.121 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.121 * [taylor]: Taking taylor expansion of 1/2 in b 2.121 * [backup-simplify]: Simplify 1/2 into 1/2 2.121 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.121 * [taylor]: Taking taylor expansion of PI in b 2.121 * [backup-simplify]: Simplify PI into PI 2.121 * [taylor]: Taking taylor expansion of b in b 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.122 * [backup-simplify]: Simplify (/ PI 1) into PI 2.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.125 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.125 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.126 * [backup-simplify]: Simplify (- 0) into 0 2.126 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ 1 (- b))) into (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) 2.129 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.129 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in b 2.130 * [taylor]: Taking taylor expansion of 1/2 in b 2.130 * [backup-simplify]: Simplify 1/2 into 1/2 2.130 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in b 2.130 * [taylor]: Taking taylor expansion of (* b PI) in b 2.130 * [taylor]: Taking taylor expansion of b in b 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 1 into 1 2.130 * [taylor]: Taking taylor expansion of PI in b 2.130 * [backup-simplify]: Simplify PI into PI 2.130 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.130 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.130 * [taylor]: Taking taylor expansion of a in b 2.130 * [backup-simplify]: Simplify a into a 2.130 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.130 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.130 * [taylor]: Taking taylor expansion of b in b 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 1 into 1 2.130 * [backup-simplify]: Simplify (/ 1 1) into 1 2.131 * [backup-simplify]: Simplify (* 0 PI) into 0 2.132 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.133 * [backup-simplify]: Simplify (+ 0 1) into 1 2.133 * [backup-simplify]: Simplify (/ PI 1) into PI 2.133 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 2.133 * [taylor]: Taking taylor expansion of 1/2 in a 2.133 * [backup-simplify]: Simplify 1/2 into 1/2 2.133 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 2.133 * [taylor]: Taking taylor expansion of (* b PI) in a 2.134 * [taylor]: Taking taylor expansion of b in a 2.134 * [backup-simplify]: Simplify b into b 2.134 * [taylor]: Taking taylor expansion of PI in a 2.134 * [backup-simplify]: Simplify PI into PI 2.134 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.134 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.134 * [taylor]: Taking taylor expansion of a in a 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [backup-simplify]: Simplify (/ 1 1) into 1 2.134 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.134 * [taylor]: Taking taylor expansion of b in a 2.134 * [backup-simplify]: Simplify b into b 2.134 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.134 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.135 * [backup-simplify]: Simplify (+ 1 0) into 1 2.135 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.135 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 2.135 * [taylor]: Taking taylor expansion of 1/2 in a 2.135 * [backup-simplify]: Simplify 1/2 into 1/2 2.135 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 2.135 * [taylor]: Taking taylor expansion of (* b PI) in a 2.135 * [taylor]: Taking taylor expansion of b in a 2.135 * [backup-simplify]: Simplify b into b 2.135 * [taylor]: Taking taylor expansion of PI in a 2.135 * [backup-simplify]: Simplify PI into PI 2.135 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.135 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.135 * [taylor]: Taking taylor expansion of a in a 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify (/ 1 1) into 1 2.136 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.136 * [taylor]: Taking taylor expansion of b in a 2.136 * [backup-simplify]: Simplify b into b 2.136 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.136 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.136 * [backup-simplify]: Simplify (+ 1 0) into 1 2.136 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.136 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 2.136 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 2.136 * [taylor]: Taking taylor expansion of 1/2 in b 2.137 * [backup-simplify]: Simplify 1/2 into 1/2 2.137 * [taylor]: Taking taylor expansion of (* PI b) in b 2.137 * [taylor]: Taking taylor expansion of PI in b 2.137 * [backup-simplify]: Simplify PI into PI 2.137 * [taylor]: Taking taylor expansion of b in b 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 1 into 1 2.138 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 2.139 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 2.140 * [backup-simplify]: Simplify (* PI 0) into 0 2.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 2.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.142 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 2.144 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 2.144 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 2.144 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.144 * [taylor]: Taking taylor expansion of 1/2 in b 2.144 * [backup-simplify]: Simplify 1/2 into 1/2 2.144 * [taylor]: Taking taylor expansion of PI in b 2.144 * [backup-simplify]: Simplify PI into PI 2.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.145 * [backup-simplify]: Simplify (- 0) into 0 2.146 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.148 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 2.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.150 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.151 * [backup-simplify]: Simplify (+ 0 0) into 0 2.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 2.153 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 2.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.153 * [taylor]: Taking taylor expansion of 1/2 in b 2.153 * [backup-simplify]: Simplify 1/2 into 1/2 2.153 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.153 * [taylor]: Taking taylor expansion of PI in b 2.153 * [backup-simplify]: Simplify PI into PI 2.153 * [taylor]: Taking taylor expansion of b in b 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify 1 into 1 2.154 * [backup-simplify]: Simplify (/ PI 1) into PI 2.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.160 * [backup-simplify]: Simplify (- 0) into 0 2.160 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * * * [progress]: simplifying candidates 2.163 * * * * [progress]: [ 1 / 586 ] simplifiying candidate # 2.163 * * * * [progress]: [ 2 / 586 ] simplifiying candidate # 2.163 * * * * [progress]: [ 3 / 586 ] simplifiying candidate # 2.163 * * * * [progress]: [ 4 / 586 ] simplifiying candidate # 2.164 * * * * [progress]: [ 5 / 586 ] simplifiying candidate # 2.164 * * * * [progress]: [ 6 / 586 ] simplifiying candidate # 2.164 * * * * [progress]: [ 7 / 586 ] simplifiying candidate # 2.164 * * * * [progress]: [ 8 / 586 ] simplifiying candidate # 2.164 * * * * [progress]: [ 9 / 586 ] simplifiying candidate # 2.164 * * * * [progress]: [ 10 / 586 ] simplifiying candidate # 2.164 * * * * [progress]: [ 11 / 586 ] simplifiying candidate # 2.164 * * * * [progress]: [ 12 / 586 ] simplifiying candidate # 2.164 * * * * [progress]: [ 13 / 586 ] simplifiying candidate # 2.164 * * * * [progress]: [ 14 / 586 ] simplifiying candidate # 2.164 * * * * 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candidate # 2.165 * * * * [progress]: [ 31 / 586 ] simplifiying candidate # 2.166 * * * * [progress]: [ 32 / 586 ] simplifiying candidate # 2.166 * * * * [progress]: [ 33 / 586 ] simplifiying candidate # 2.166 * * * * [progress]: [ 34 / 586 ] simplifiying candidate #real (real->posit16 (/ PI (+ a b)))) 2) b))) (- b a)))> 2.166 * * * * [progress]: [ 35 / 586 ] simplifiying candidate # 2.166 * * * * [progress]: [ 36 / 586 ] simplifiying candidate # 2.166 * * * * [progress]: [ 37 / 586 ] simplifiying candidate # 2.166 * * * * [progress]: [ 38 / 586 ] simplifiying candidate # 2.166 * * * * [progress]: [ 39 / 586 ] simplifiying candidate # 2.166 * * * * [progress]: [ 40 / 586 ] simplifiying candidate # 2.166 * * * * [progress]: [ 41 / 586 ] simplifiying candidate # 2.166 * * * * [progress]: [ 42 / 586 ] simplifiying candidate # 2.166 * * * * [progress]: [ 43 / 586 ] simplifiying candidate # 2.166 * * * * [progress]: [ 44 / 586 ] simplifiying candidate # 2.166 * * * * [progress]: [ 45 / 586 ] simplifiying candidate # 2.166 * * * * [progress]: [ 46 / 586 ] simplifiying candidate # 2.167 * * * * [progress]: [ 47 / 586 ] simplifiying candidate # 2.167 * * * * [progress]: [ 48 / 586 ] simplifiying candidate # 2.167 * * * * [progress]: [ 49 / 586 ] simplifiying candidate # 2.167 * * * * [progress]: [ 50 / 586 ] simplifiying candidate # 2.167 * * * * [progress]: [ 51 / 586 ] simplifiying candidate # 2.167 * * * * [progress]: [ 52 / 586 ] simplifiying candidate # 2.167 * * * * [progress]: [ 53 / 586 ] simplifiying candidate # 2.167 * * * * [progress]: [ 54 / 586 ] simplifiying candidate # 2.167 * * * * [progress]: [ 55 / 586 ] simplifiying candidate # 2.167 * * * * [progress]: [ 56 / 586 ] simplifiying candidate # 2.167 * * * * [progress]: [ 57 / 586 ] simplifiying candidate # 2.167 * * * * [progress]: [ 58 / 586 ] simplifiying candidate # 2.167 * * * * [progress]: [ 59 / 586 ] simplifiying candidate # 2.167 * * * * [progress]: [ 60 / 586 ] simplifiying candidate # 2.168 * * * * [progress]: [ 61 / 586 ] simplifiying candidate # 2.168 * * * * [progress]: [ 62 / 586 ] simplifiying candidate # 2.168 * * * * [progress]: [ 63 / 586 ] simplifiying candidate # 2.168 * * * * [progress]: [ 64 / 586 ] simplifiying candidate # 2.168 * * * * [progress]: [ 65 / 586 ] simplifiying candidate # 2.168 * * * * [progress]: [ 66 / 586 ] simplifiying candidate # 2.168 * * * * [progress]: [ 67 / 586 ] simplifiying candidate # 2.168 * * * * [progress]: [ 68 / 586 ] simplifiying candidate #real (real->posit16 (/ PI (+ a b)))) 2) a) (- (/ (/ (/ PI (+ a b)) 2) b))) (- b a)))> 2.168 * * * * [progress]: [ 69 / 586 ] simplifiying candidate # 2.168 * * * * [progress]: [ 70 / 586 ] simplifiying candidate # 2.168 * * * * [progress]: [ 71 / 586 ] simplifiying candidate # 2.168 * * * * [progress]: [ 72 / 586 ] simplifiying candidate # 2.168 * * * * [progress]: [ 73 / 586 ] simplifiying candidate # 2.168 * * * * [progress]: [ 74 / 586 ] simplifiying candidate # 2.169 * * * * [progress]: [ 75 / 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2.202 * * * * [progress]: [ 550 / 586 ] simplifiying candidate # 2.202 * * * * [progress]: [ 551 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 552 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 553 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 554 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 555 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 556 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 557 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 558 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 559 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 560 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 561 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 562 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 563 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 564 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 565 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 566 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 567 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 568 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 569 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 570 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 571 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 572 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 573 / 586 ] simplifiying candidate # 2.203 * * * * [progress]: [ 574 / 586 ] simplifiying candidate #real (real->posit16 (/ (/ (/ PI (+ a b)) 2) b))))) (- b a)))> 2.204 * * * * [progress]: [ 575 / 586 ] simplifiying candidate # 2.204 * * * * [progress]: [ 576 / 586 ] simplifiying candidate # 2.204 * * * * [progress]: [ 577 / 586 ] simplifiying candidate # 2.204 * * * * [progress]: [ 578 / 586 ] simplifiying candidate # 2.204 * * * * [progress]: [ 579 / 586 ] simplifiying candidate # 2.204 * * * * [progress]: [ 580 / 586 ] simplifiying candidate # 2.204 * * * * [progress]: [ 581 / 586 ] simplifiying candidate # 2.204 * * * * [progress]: [ 582 / 586 ] simplifiying candidate # 2.204 * * * * [progress]: [ 583 / 586 ] simplifiying candidate # 2.204 * * * * [progress]: [ 584 / 586 ] simplifiying candidate # 2.204 * * * * [progress]: [ 585 / 586 ] simplifiying candidate # 2.204 * * * * [progress]: [ 586 / 586 ] simplifiying candidate # 2.212 * [simplify]: Simplifying: (- (log PI) (log (+ a b))) (log (/ PI (+ a b))) (exp (/ PI (+ a b))) (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (cbrt (/ PI (+ a b))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (- PI) (- (+ a b)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt PI) (cbrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) (/ (cbrt PI) (sqrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (sqrt PI) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt PI) (cbrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ PI (sqrt (+ a b))) (/ 1 1) (/ PI (+ a b)) (/ 1 1) (/ PI (+ a b)) (/ 1 (+ a b)) (/ (+ a b) PI) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (sqrt (+ a b))) (/ PI 1) (/ PI 1) (/ (+ a b) (cbrt PI)) (/ (+ a b) (sqrt PI)) (/ (+ a b) PI) (/ PI (+ (pow a 3) (pow b 3))) (/ PI (- (* a a) (* b b))) (real->posit16 (/ PI (+ a b))) (- (log PI) (log (+ a b))) (log (/ PI (+ a b))) (exp (/ PI (+ a b))) (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (cbrt (/ PI (+ a b))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (- PI) (- (+ a b)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt PI) (cbrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) (/ (cbrt PI) (sqrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (sqrt PI) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt PI) (cbrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ PI (sqrt (+ a b))) (/ 1 1) (/ PI (+ a b)) (/ 1 1) (/ PI (+ a b)) (/ 1 (+ a b)) (/ (+ a b) PI) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (sqrt (+ a b))) (/ PI 1) (/ PI 1) (/ (+ a b) (cbrt PI)) (/ (+ a b) (sqrt PI)) (/ (+ a b) PI) (/ PI (+ (pow a 3) (pow b 3))) (/ PI (- (* a a) (* b b))) (real->posit16 (/ PI (+ a b))) (- (- (- (log PI) (log (+ a b))) (log 2)) (log a)) (- (- (log (/ PI (+ a b))) (log 2)) (log a)) (- (log (/ (/ PI (+ a b)) 2)) (log a)) (log (/ (/ (/ PI (+ a b)) 2) a)) (exp (/ (/ (/ PI (+ a b)) 2) a)) (/ (/ (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (* 2 2) 2)) (* (* a a) a)) (/ (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* 2 2) 2)) (* (* a a) a)) (/ (* (* (/ (/ PI (+ a b)) 2) (/ (/ PI (+ a b)) 2)) (/ (/ PI (+ a b)) 2)) (* (* a a) a)) (* (cbrt (/ (/ (/ PI (+ a b)) 2) a)) (cbrt (/ (/ (/ PI (+ a b)) 2) a))) (cbrt (/ (/ (/ PI (+ a b)) 2) a)) (* (* (/ (/ (/ PI (+ a b)) 2) a) (/ (/ (/ PI (+ a b)) 2) a)) (/ (/ (/ PI (+ a b)) 2) a)) (sqrt (/ (/ (/ PI (+ a b)) 2) a)) (sqrt (/ (/ (/ PI (+ a b)) 2) a)) (- (/ (/ PI (+ a b)) 2)) (- a) (/ (* (cbrt (/ (/ PI (+ a b)) 2)) (cbrt (/ (/ PI (+ a b)) 2))) (* (cbrt a) (cbrt a))) (/ (cbrt (/ (/ PI (+ a b)) 2)) (cbrt a)) (/ (* (cbrt (/ (/ PI (+ a b)) 2)) (cbrt (/ (/ PI (+ a b)) 2))) (sqrt a)) (/ (cbrt (/ (/ PI (+ a b)) 2)) (sqrt a)) (/ (* (cbrt (/ (/ PI (+ a b)) 2)) (cbrt (/ (/ PI (+ a b)) 2))) 1) (/ (cbrt (/ (/ PI (+ a b)) 2)) a) (/ 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2)) (/ (/ (/ PI (+ a b)) 2) (* (cbrt b) (cbrt b))) (/ (/ (/ PI (+ a b)) 2) (sqrt b)) (/ (/ (/ PI (+ a b)) 2) 1) (/ b (cbrt (/ (/ PI (+ a b)) 2))) (/ b (sqrt (/ (/ PI (+ a b)) 2))) (/ b (/ (cbrt (/ PI (+ a b))) (cbrt 2))) (/ b (/ (cbrt (/ PI (+ a b))) (sqrt 2))) (/ b (/ (cbrt (/ PI (+ a b))) 2)) (/ b (/ (sqrt (/ PI (+ a b))) (cbrt 2))) (/ b (/ (sqrt (/ PI (+ a b))) (sqrt 2))) (/ b (/ (sqrt (/ PI (+ a b))) 2)) (/ b (/ (/ (cbrt PI) (cbrt (+ a b))) (cbrt 2))) (/ b (/ (/ (cbrt PI) (cbrt (+ a b))) (sqrt 2))) (/ b (/ (/ (cbrt PI) (cbrt (+ a b))) 2)) (/ b (/ (/ (cbrt PI) (sqrt (+ a b))) (cbrt 2))) (/ b (/ (/ (cbrt PI) (sqrt (+ a b))) (sqrt 2))) (/ b (/ (/ (cbrt PI) (sqrt (+ a b))) 2)) (/ b (/ (/ (cbrt PI) (+ a b)) (cbrt 2))) (/ b (/ (/ (cbrt PI) (+ a b)) (sqrt 2))) (/ b (/ (/ (cbrt PI) (+ a b)) 2)) (/ b (/ (/ (cbrt PI) (+ a b)) (cbrt 2))) (/ b (/ (/ (cbrt PI) (+ a b)) (sqrt 2))) (/ b (/ (/ (cbrt PI) (+ a b)) 2)) (/ b (/ (/ (sqrt PI) (cbrt (+ a b))) (cbrt 2))) (/ b (/ (/ (sqrt PI) (cbrt (+ a b))) (sqrt 2))) (/ b (/ (/ (sqrt PI) (cbrt (+ a b))) 2)) (/ b (/ (/ (sqrt PI) (sqrt (+ a b))) (cbrt 2))) (/ b (/ (/ (sqrt PI) (sqrt (+ a b))) (sqrt 2))) (/ b (/ (/ (sqrt PI) (sqrt (+ a b))) 2)) (/ b (/ (/ (sqrt PI) (+ a b)) (cbrt 2))) (/ b (/ (/ (sqrt PI) (+ a b)) (sqrt 2))) (/ b (/ (/ (sqrt PI) (+ a b)) 2)) (/ b (/ (/ (sqrt PI) (+ a b)) (cbrt 2))) (/ b (/ (/ (sqrt PI) (+ a b)) (sqrt 2))) (/ b (/ (/ (sqrt PI) (+ a b)) 2)) (/ b (/ (/ PI (cbrt (+ a b))) (cbrt 2))) (/ b (/ (/ PI (cbrt (+ a b))) (sqrt 2))) (/ b (/ (/ PI (cbrt (+ a b))) 2)) (/ b (/ (/ PI (sqrt (+ a b))) (cbrt 2))) (/ b (/ (/ PI (sqrt (+ a b))) (sqrt 2))) (/ b (/ (/ PI (sqrt (+ a b))) 2)) (/ b (/ (/ PI (+ a b)) (cbrt 2))) (/ b (/ (/ PI (+ a b)) (sqrt 2))) (/ b (/ (/ PI (+ a b)) 2)) (/ b (/ (/ PI (+ a b)) (cbrt 2))) (/ b (/ (/ PI (+ a b)) (sqrt 2))) (/ b (/ (/ PI (+ a b)) 2)) (/ b (/ (/ PI (+ a b)) (cbrt 2))) (/ b (/ (/ PI (+ a b)) (sqrt 2))) (/ b (/ (/ PI (+ a b)) 2)) (/ b (/ (/ 1 (+ a b)) (cbrt 2))) (/ b (/ (/ 1 (+ a b)) (sqrt 2))) (/ b (/ (/ 1 (+ a b)) 2)) (/ b (/ (+ (* a a) (- (* b b) (* a b))) (cbrt 2))) (/ b (/ (+ (* a a) (- (* b b) (* a b))) (sqrt 2))) (/ b (/ (+ (* a a) (- (* b b) (* a b))) 2)) (/ b (/ (- a b) (cbrt 2))) (/ b (/ (- a b) (sqrt 2))) (/ b (/ (- a b) 2)) (/ b (/ (/ PI (+ a b)) 2)) (/ b (/ 1 2)) (* b 2) (real->posit16 (/ (/ (/ PI (+ a b)) 2) b)) 0 0 0 0 0 0 0 0 0 0 0 0 2.233 * * [simplify]: iteration 0: 812 enodes 2.569 * * [simplify]: iteration 1: 1841 enodes 3.281 * * [simplify]: iteration 2: 4922 enodes 4.317 * * [simplify]: iteration complete: 5000 enodes 4.318 * * [simplify]: Extracting #0: cost 624 inf + 0 4.328 * * [simplify]: Extracting #1: cost 1733 inf + 85 4.343 * * [simplify]: Extracting #2: cost 2060 inf + 4868 4.370 * * [simplify]: Extracting #3: cost 1348 inf + 145577 4.475 * * [simplify]: Extracting #4: cost 133 inf + 467449 4.603 * * [simplify]: Extracting #5: cost 0 inf + 503052 4.718 * * [simplify]: Extracting #6: cost 0 inf + 501524 4.839 * [simplify]: Simplified to: (log (/ PI (+ b a))) (log (/ PI (+ b a))) (exp (/ PI (+ b a))) (* (/ PI (+ b a)) (* (/ PI (+ b a)) (/ PI (+ b a)))) (* (cbrt (/ PI (+ b a))) (cbrt (/ PI (+ b a)))) (cbrt (/ PI (+ b a))) (* (/ PI (+ b a)) (* (/ PI (+ b a)) (/ PI (+ b a)))) (sqrt (/ PI (+ b a))) (sqrt (/ PI (+ b a))) (- PI) (- (- a) b) (* (/ (cbrt PI) (cbrt (+ b a))) (/ (cbrt PI) (cbrt (+ b a)))) (/ (cbrt PI) (cbrt (+ b a))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ b a))) (/ (cbrt PI) (sqrt (+ b a))) (* (cbrt PI) (cbrt PI)) (/ (cbrt PI) (+ b a)) (* (cbrt PI) (cbrt PI)) (/ (cbrt PI) (+ b a)) (/ (sqrt PI) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (sqrt PI) (cbrt (+ b a))) (/ (sqrt PI) (sqrt (+ b a))) (/ (sqrt PI) (sqrt (+ b a))) (sqrt PI) (/ (sqrt PI) (+ b a)) (sqrt PI) (/ (sqrt PI) (+ b a)) (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ PI (cbrt (+ b a))) (/ 1 (sqrt (+ b a))) (/ PI (sqrt (+ b a))) 1 (/ PI (+ b a)) 1 (/ PI (+ b a)) (/ 1 (+ b a)) (/ (+ b a) PI) (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ PI (sqrt (+ b a))) PI PI (/ 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(+ b a)) (sqrt b)) (sqrt 2)) (/ PI (sqrt 2)) (/ (/ (/ 1 (+ b a)) b) (sqrt 2)) (/ PI (* (cbrt b) (cbrt b))) (/ (/ 1/2 (+ b a)) (cbrt b)) (/ PI (sqrt b)) (/ (/ 1/2 (+ b a)) (sqrt b)) PI (/ (/ 1/2 (+ b a)) b) (/ (/ PI (+ (* (* b b) b) (* (* a a) a))) (* (* (cbrt 2) (cbrt b)) (* (cbrt 2) (cbrt b)))) (/ (+ (* a a) (* b (- b a))) (* (cbrt 2) (cbrt b))) (/ (/ (/ PI (+ (* (* b b) b) (* (* a a) a))) (* (cbrt 2) (cbrt 2))) (sqrt b)) (/ (+ (* a a) (* b (- b a))) (* (sqrt b) (cbrt 2))) (/ (/ PI (+ (* (* b b) b) (* (* a a) a))) (* (cbrt 2) (cbrt 2))) (/ (+ (* a a) (* b (- b a))) (* b (cbrt 2))) (/ (/ PI (+ (* (* b b) b) (* (* a a) a))) (* (* (cbrt b) (cbrt b)) (sqrt 2))) (/ (+ (* a a) (* b (- b a))) (* (cbrt b) (sqrt 2))) (/ (/ PI (+ (* (* b b) b) (* (* a a) a))) (* (sqrt 2) (sqrt b))) (/ (/ (+ (* a a) (* b (- b a))) (sqrt 2)) (sqrt b)) (/ (/ PI (+ (* (* b b) b) (* (* a a) a))) (sqrt 2)) (/ (/ (+ (* a a) (* b (- b a))) b) (sqrt 2)) (/ (/ PI (+ (* (* b b) b) (* (* a a) a))) (* (cbrt b) (cbrt b))) (/ 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(+ b a)) (cbrt b)) (/ 1 (sqrt b)) (/ (/ (/ PI 2) (+ b a)) (sqrt b)) 1 (/ (/ (/ PI 2) (+ b a)) b) (/ (/ PI (* (cbrt b) (cbrt b))) (+ b a)) (/ 1/2 (cbrt b)) (/ PI (* (+ b a) (sqrt b))) (/ 1/2 (sqrt b)) (/ PI (+ b a)) (/ 1/2 b) (/ 1 b) (/ (* b 2) (/ PI (+ b a))) (/ (/ (/ PI 2) (+ b a)) (* (cbrt b) (cbrt b))) (/ (/ (/ PI 2) (+ b a)) (sqrt b)) (/ (/ PI 2) (+ b a)) (/ b (cbrt (/ (/ PI 2) (+ b a)))) (/ b (sqrt (/ (/ PI 2) (+ b a)))) (/ (* b (cbrt 2)) (cbrt (/ PI (+ b a)))) (/ (* b (sqrt 2)) (cbrt (/ PI (+ b a)))) (/ (* b 2) (cbrt (/ PI (+ b a)))) (/ (* b (cbrt 2)) (sqrt (/ PI (+ b a)))) (/ (* b (sqrt 2)) (sqrt (/ PI (+ b a)))) (/ (* b 2) (sqrt (/ PI (+ b a)))) (* (cbrt 2) (* (/ b (cbrt PI)) (cbrt (+ b a)))) (/ (* b (sqrt 2)) (/ (cbrt PI) (cbrt (+ b a)))) (/ b (/ (cbrt PI) (* (cbrt (+ b a)) 2))) (/ (* b (cbrt 2)) (/ (cbrt PI) (sqrt (+ b a)))) (/ (* b (sqrt 2)) (/ (cbrt PI) (sqrt (+ b a)))) (/ (* b 2) (/ (cbrt PI) (sqrt (+ b a)))) (/ b (/ (/ (cbrt PI) (cbrt 2)) (+ b a))) (/ (* b (sqrt 2)) (/ (cbrt PI) (+ b a))) (/ (* b 2) (/ (cbrt PI) (+ b a))) (/ b (/ (/ (cbrt PI) (cbrt 2)) (+ b a))) (/ (* b (sqrt 2)) (/ (cbrt PI) (+ b a))) (/ (* b 2) (/ (cbrt PI) (+ b a))) (/ (* b (cbrt 2)) (/ (sqrt PI) (cbrt (+ b a)))) (/ (* b (sqrt 2)) (/ (sqrt PI) (cbrt (+ b a)))) (/ b (/ (/ (sqrt PI) (cbrt (+ b a))) 2)) (/ (* b (cbrt 2)) (/ (sqrt PI) (sqrt (+ b a)))) (/ (* b (sqrt 2)) (/ (sqrt PI) (sqrt (+ b a)))) (* (* (/ b (sqrt PI)) (sqrt (+ b a))) 2) (/ (* b (cbrt 2)) (/ (sqrt PI) (+ b a))) (/ (* b (sqrt 2)) (/ (sqrt PI) (+ b a))) (* (* (/ b (sqrt PI)) (+ b a)) 2) (/ (* b (cbrt 2)) (/ (sqrt PI) (+ b a))) (/ (* b (sqrt 2)) (/ (sqrt PI) (+ b a))) (* (* (/ b (sqrt PI)) (+ b a)) 2) (* (cbrt 2) (/ b (/ PI (cbrt (+ b a))))) (* (/ b (/ PI (cbrt (+ b a)))) (sqrt 2)) (/ b (/ (/ PI (cbrt (+ b a))) 2)) (* (cbrt 2) (/ b (/ PI (sqrt (+ b a))))) (* (sqrt 2) (/ b (/ PI (sqrt (+ b a))))) (* (/ b (/ PI (sqrt (+ b a)))) 2) (* (cbrt 2) (/ b (/ PI (+ b a)))) (/ (* b (sqrt 2)) (/ PI (+ b a))) (/ (* b 2) (/ PI (+ b a))) (* (cbrt 2) (/ b (/ PI (+ b a)))) (/ (* b (sqrt 2)) (/ PI (+ b a))) (/ (* b 2) (/ PI (+ b a))) (* (cbrt 2) (/ b (/ PI (+ b a)))) (/ (* b (sqrt 2)) (/ PI (+ b a))) (/ (* b 2) (/ PI (+ b a))) (* (* (/ b 1) (+ b a)) (cbrt 2)) (/ (* b (sqrt 2)) (/ 1 (+ b a))) (/ b (/ 1/2 (+ b a))) (* (/ b (+ (* a a) (* b (- b a)))) (cbrt 2)) (/ (* b (sqrt 2)) (+ (* a a) (* b (- b a)))) (/ (* b 2) (+ (* a a) (* b (- b a)))) (* (cbrt 2) (/ b (- a b))) (/ (* b (sqrt 2)) (- a b)) (/ b (/ (- a b) 2)) (/ (* b 2) (/ PI (+ b a))) (* b 2) (* b 2) (real->posit16 (/ (/ (/ PI 2) (+ b a)) b)) 0 0 0 0 0 0 0 0 0 0 0 0 4.983 * * * [progress]: adding candidates to table 8.422 * * [progress]: iteration 2 / 4 8.422 * * * [progress]: picking best candidate 8.450 * * * * [pick]: Picked # 8.450 * * * [progress]: localizing error 8.510 * * * [progress]: generating rewritten candidates 8.510 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 8.530 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 2 1) 8.538 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 8.546 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 8.616 * * * [progress]: generating series expansions 8.616 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 8.616 * [backup-simplify]: Simplify (/ 1 (/ b (/ (/ PI (+ a b)) 2))) into (* 1/2 (/ PI (* (+ a b) b))) 8.617 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* (+ a b) b))) in (b a) around 0 8.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* (+ a b) b))) in a 8.617 * [taylor]: Taking taylor expansion of 1/2 in a 8.617 * [backup-simplify]: Simplify 1/2 into 1/2 8.617 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) b)) in a 8.617 * [taylor]: Taking taylor expansion of PI in a 8.617 * [backup-simplify]: Simplify PI into PI 8.617 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 8.617 * [taylor]: Taking taylor expansion of (+ a b) in a 8.617 * [taylor]: Taking taylor expansion of a in a 8.617 * [backup-simplify]: Simplify 0 into 0 8.617 * [backup-simplify]: Simplify 1 into 1 8.617 * [taylor]: Taking taylor expansion of b in a 8.617 * [backup-simplify]: Simplify b into b 8.617 * [taylor]: Taking taylor expansion of b in a 8.617 * [backup-simplify]: Simplify b into b 8.617 * [backup-simplify]: Simplify (+ 0 b) into b 8.617 * [backup-simplify]: Simplify (* b b) into (pow b 2) 8.617 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 8.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* (+ a b) b))) in b 8.617 * [taylor]: Taking taylor expansion of 1/2 in b 8.617 * [backup-simplify]: Simplify 1/2 into 1/2 8.617 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) b)) in b 8.617 * [taylor]: Taking taylor expansion of PI in b 8.617 * [backup-simplify]: Simplify PI into PI 8.618 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 8.618 * [taylor]: Taking taylor expansion of (+ a b) in b 8.618 * [taylor]: Taking taylor expansion of a in b 8.618 * [backup-simplify]: Simplify a into a 8.618 * [taylor]: Taking taylor expansion of b in b 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 1 into 1 8.618 * [taylor]: Taking taylor expansion of b in b 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 1 into 1 8.618 * [backup-simplify]: Simplify (+ a 0) into a 8.618 * [backup-simplify]: Simplify (* a 0) into 0 8.619 * [backup-simplify]: Simplify (+ 0 1) into 1 8.619 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 8.619 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 8.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* (+ a b) b))) in b 8.619 * [taylor]: Taking taylor expansion of 1/2 in b 8.619 * [backup-simplify]: Simplify 1/2 into 1/2 8.619 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) b)) in b 8.619 * [taylor]: Taking taylor expansion of PI in b 8.619 * [backup-simplify]: Simplify PI into PI 8.619 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 8.619 * [taylor]: Taking taylor expansion of (+ a b) in b 8.620 * [taylor]: Taking taylor expansion of a in b 8.620 * [backup-simplify]: Simplify a into a 8.620 * [taylor]: Taking taylor expansion of b in b 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify 1 into 1 8.620 * [taylor]: Taking taylor expansion of b in b 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify 1 into 1 8.620 * [backup-simplify]: Simplify (+ a 0) into a 8.620 * [backup-simplify]: Simplify (* a 0) into 0 8.620 * [backup-simplify]: Simplify (+ 0 1) into 1 8.621 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 8.621 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 8.621 * [backup-simplify]: Simplify (* 1/2 (/ PI a)) into (* 1/2 (/ PI a)) 8.621 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 8.621 * [taylor]: Taking taylor expansion of 1/2 in a 8.621 * [backup-simplify]: Simplify 1/2 into 1/2 8.621 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.621 * [taylor]: Taking taylor expansion of PI in a 8.621 * [backup-simplify]: Simplify PI into PI 8.621 * [taylor]: Taking taylor expansion of a in a 8.621 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify 1 into 1 8.622 * [backup-simplify]: Simplify (/ PI 1) into PI 8.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.624 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 8.624 * [backup-simplify]: Simplify 0 into 0 8.624 * [backup-simplify]: Simplify (+ 0 0) into 0 8.625 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 1) (* 0 0))) into 1 8.625 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 1 a)))) into (- (/ PI (pow a 2))) 8.625 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow a 2)))) (* 0 (/ PI a))) into (- (* 1/2 (/ PI (pow a 2)))) 8.625 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 2)))) in a 8.625 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a 8.625 * [taylor]: Taking taylor expansion of 1/2 in a 8.625 * [backup-simplify]: Simplify 1/2 into 1/2 8.625 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.625 * [taylor]: Taking taylor expansion of PI in a 8.625 * [backup-simplify]: Simplify PI into PI 8.625 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.625 * [taylor]: Taking taylor expansion of a in a 8.625 * [backup-simplify]: Simplify 0 into 0 8.625 * [backup-simplify]: Simplify 1 into 1 8.626 * [backup-simplify]: Simplify (* 1 1) into 1 8.626 * [backup-simplify]: Simplify (/ PI 1) into PI 8.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.631 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.632 * [backup-simplify]: Simplify (- 0) into 0 8.632 * [backup-simplify]: Simplify 0 into 0 8.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.634 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.634 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify (+ 0 0) into 0 8.636 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.636 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* (- (/ PI (pow a 2))) (/ 1 a)))) into (/ PI (pow a 3)) 8.636 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow a 3))) (+ (* 0 (- (/ PI (pow a 2)))) (* 0 (/ PI a)))) into (* 1/2 (/ PI (pow a 3))) 8.636 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 3))) in a 8.637 * [taylor]: Taking taylor expansion of 1/2 in a 8.637 * [backup-simplify]: Simplify 1/2 into 1/2 8.637 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 8.637 * [taylor]: Taking taylor expansion of PI in a 8.637 * [backup-simplify]: Simplify PI into PI 8.637 * [taylor]: Taking taylor expansion of (pow a 3) in a 8.637 * [taylor]: Taking taylor expansion of a in a 8.637 * [backup-simplify]: Simplify 0 into 0 8.637 * [backup-simplify]: Simplify 1 into 1 8.637 * [backup-simplify]: Simplify (* 1 1) into 1 8.638 * [backup-simplify]: Simplify (* 1 1) into 1 8.638 * [backup-simplify]: Simplify (/ PI 1) into PI 8.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.648 * [backup-simplify]: Simplify 0 into 0 8.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.672 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.672 * [backup-simplify]: Simplify (- 0) into 0 8.672 * [backup-simplify]: Simplify 0 into 0 8.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.675 * [backup-simplify]: Simplify 0 into 0 8.675 * [backup-simplify]: Simplify 0 into 0 8.675 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 b) (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2))) into (* 1/2 (/ (* PI b) (+ (/ 1 a) (/ 1 b)))) 8.675 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI b) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 8.675 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (+ (/ 1 a) (/ 1 b)))) in a 8.675 * [taylor]: Taking taylor expansion of 1/2 in a 8.675 * [backup-simplify]: Simplify 1/2 into 1/2 8.675 * [taylor]: Taking taylor expansion of (/ (* PI b) (+ (/ 1 a) (/ 1 b))) in a 8.675 * [taylor]: Taking taylor expansion of (* PI b) in a 8.675 * [taylor]: Taking taylor expansion of PI in a 8.675 * [backup-simplify]: Simplify PI into PI 8.675 * [taylor]: Taking taylor expansion of b in a 8.676 * [backup-simplify]: Simplify b into b 8.676 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.676 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.676 * [taylor]: Taking taylor expansion of a in a 8.676 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify 1 into 1 8.676 * [backup-simplify]: Simplify (/ 1 1) into 1 8.676 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.676 * [taylor]: Taking taylor expansion of b in a 8.676 * [backup-simplify]: Simplify b into b 8.676 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.676 * [backup-simplify]: Simplify (* PI b) into (* b PI) 8.677 * [backup-simplify]: Simplify (+ 1 0) into 1 8.677 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 8.677 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (+ (/ 1 a) (/ 1 b)))) in b 8.677 * [taylor]: Taking taylor expansion of 1/2 in b 8.677 * [backup-simplify]: Simplify 1/2 into 1/2 8.677 * [taylor]: Taking taylor expansion of (/ (* PI b) (+ (/ 1 a) (/ 1 b))) in b 8.677 * [taylor]: Taking taylor expansion of (* PI b) in b 8.677 * [taylor]: Taking taylor expansion of PI in b 8.677 * [backup-simplify]: Simplify PI into PI 8.677 * [taylor]: Taking taylor expansion of b in b 8.677 * [backup-simplify]: Simplify 0 into 0 8.677 * [backup-simplify]: Simplify 1 into 1 8.677 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.677 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.677 * [taylor]: Taking taylor expansion of a in b 8.677 * [backup-simplify]: Simplify a into a 8.677 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.677 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.677 * [taylor]: Taking taylor expansion of b in b 8.677 * [backup-simplify]: Simplify 0 into 0 8.677 * [backup-simplify]: Simplify 1 into 1 8.678 * [backup-simplify]: Simplify (/ 1 1) into 1 8.678 * [backup-simplify]: Simplify (* PI 0) into 0 8.680 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 8.680 * [backup-simplify]: Simplify (+ 0 1) into 1 8.681 * [backup-simplify]: Simplify (/ PI 1) into PI 8.681 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (+ (/ 1 a) (/ 1 b)))) in b 8.681 * [taylor]: Taking taylor expansion of 1/2 in b 8.681 * [backup-simplify]: Simplify 1/2 into 1/2 8.681 * [taylor]: Taking taylor expansion of (/ (* PI b) (+ (/ 1 a) (/ 1 b))) in b 8.681 * [taylor]: Taking taylor expansion of (* PI b) in b 8.681 * [taylor]: Taking taylor expansion of PI in b 8.681 * [backup-simplify]: Simplify PI into PI 8.681 * [taylor]: Taking taylor expansion of b in b 8.681 * [backup-simplify]: Simplify 0 into 0 8.681 * [backup-simplify]: Simplify 1 into 1 8.681 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.681 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.681 * [taylor]: Taking taylor expansion of a in b 8.681 * [backup-simplify]: Simplify a into a 8.681 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.681 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.681 * [taylor]: Taking taylor expansion of b in b 8.681 * [backup-simplify]: Simplify 0 into 0 8.681 * [backup-simplify]: Simplify 1 into 1 8.682 * [backup-simplify]: Simplify (/ 1 1) into 1 8.682 * [backup-simplify]: Simplify (* PI 0) into 0 8.684 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 8.684 * [backup-simplify]: Simplify (+ 0 1) into 1 8.685 * [backup-simplify]: Simplify (/ PI 1) into PI 8.686 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 8.686 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 8.686 * [taylor]: Taking taylor expansion of 1/2 in a 8.686 * [backup-simplify]: Simplify 1/2 into 1/2 8.686 * [taylor]: Taking taylor expansion of PI in a 8.686 * [backup-simplify]: Simplify PI into PI 8.687 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 8.687 * [backup-simplify]: Simplify 0 into 0 8.688 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 8.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.689 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 8.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 8.690 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI a))) (* 0 PI)) into (- (* 1/2 (/ PI a))) 8.690 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a 8.690 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 8.690 * [taylor]: Taking taylor expansion of 1/2 in a 8.690 * [backup-simplify]: Simplify 1/2 into 1/2 8.690 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.690 * [taylor]: Taking taylor expansion of PI in a 8.690 * [backup-simplify]: Simplify PI into PI 8.690 * [taylor]: Taking taylor expansion of a in a 8.690 * [backup-simplify]: Simplify 0 into 0 8.690 * [backup-simplify]: Simplify 1 into 1 8.691 * [backup-simplify]: Simplify (/ PI 1) into PI 8.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.694 * [backup-simplify]: Simplify (- 0) into 0 8.694 * [backup-simplify]: Simplify 0 into 0 8.695 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.695 * [backup-simplify]: Simplify 0 into 0 8.697 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.698 * [backup-simplify]: Simplify (+ 0 0) into 0 8.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 8.700 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (* 1/2 (/ PI (pow a 2))) 8.700 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a 8.700 * [taylor]: Taking taylor expansion of 1/2 in a 8.700 * [backup-simplify]: Simplify 1/2 into 1/2 8.700 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.700 * [taylor]: Taking taylor expansion of PI in a 8.700 * [backup-simplify]: Simplify PI into PI 8.700 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.700 * [taylor]: Taking taylor expansion of a in a 8.700 * [backup-simplify]: Simplify 0 into 0 8.701 * [backup-simplify]: Simplify 1 into 1 8.701 * [backup-simplify]: Simplify (* 1 1) into 1 8.701 * [backup-simplify]: Simplify (/ PI 1) into PI 8.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.709 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.709 * [backup-simplify]: Simplify 0 into 0 8.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.712 * [backup-simplify]: Simplify (- 0) into 0 8.712 * [backup-simplify]: Simplify 0 into 0 8.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.713 * [backup-simplify]: Simplify 0 into 0 8.713 * [backup-simplify]: Simplify 0 into 0 8.713 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 (- b)) (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2))) into (* 1/2 (/ (* PI b) (+ (/ 1 a) (/ 1 b)))) 8.714 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI b) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 8.714 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (+ (/ 1 a) (/ 1 b)))) in a 8.714 * [taylor]: Taking taylor expansion of 1/2 in a 8.714 * [backup-simplify]: Simplify 1/2 into 1/2 8.714 * [taylor]: Taking taylor expansion of (/ (* PI b) (+ (/ 1 a) (/ 1 b))) in a 8.714 * [taylor]: Taking taylor expansion of (* PI b) in a 8.714 * [taylor]: Taking taylor expansion of PI in a 8.714 * [backup-simplify]: Simplify PI into PI 8.714 * [taylor]: Taking taylor expansion of b in a 8.714 * [backup-simplify]: Simplify b into b 8.714 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.714 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.714 * [taylor]: Taking taylor expansion of a in a 8.714 * [backup-simplify]: Simplify 0 into 0 8.714 * [backup-simplify]: Simplify 1 into 1 8.714 * [backup-simplify]: Simplify (/ 1 1) into 1 8.714 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.714 * [taylor]: Taking taylor expansion of b in a 8.714 * [backup-simplify]: Simplify b into b 8.714 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.715 * [backup-simplify]: Simplify (* PI b) into (* b PI) 8.715 * [backup-simplify]: Simplify (+ 1 0) into 1 8.715 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 8.715 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (+ (/ 1 a) (/ 1 b)))) in b 8.715 * [taylor]: Taking taylor expansion of 1/2 in b 8.715 * [backup-simplify]: Simplify 1/2 into 1/2 8.715 * [taylor]: Taking taylor expansion of (/ (* PI b) (+ (/ 1 a) (/ 1 b))) in b 8.715 * [taylor]: Taking taylor expansion of (* PI b) in b 8.715 * [taylor]: Taking taylor expansion of PI in b 8.715 * [backup-simplify]: Simplify PI into PI 8.715 * [taylor]: Taking taylor expansion of b in b 8.715 * [backup-simplify]: Simplify 0 into 0 8.715 * [backup-simplify]: Simplify 1 into 1 8.715 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.715 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.715 * [taylor]: Taking taylor expansion of a in b 8.715 * [backup-simplify]: Simplify a into a 8.715 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.715 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.716 * [taylor]: Taking taylor expansion of b in b 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify 1 into 1 8.716 * [backup-simplify]: Simplify (/ 1 1) into 1 8.716 * [backup-simplify]: Simplify (* PI 0) into 0 8.718 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 8.718 * [backup-simplify]: Simplify (+ 0 1) into 1 8.719 * [backup-simplify]: Simplify (/ PI 1) into PI 8.719 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (+ (/ 1 a) (/ 1 b)))) in b 8.719 * [taylor]: Taking taylor expansion of 1/2 in b 8.719 * [backup-simplify]: Simplify 1/2 into 1/2 8.719 * [taylor]: Taking taylor expansion of (/ (* PI b) (+ (/ 1 a) (/ 1 b))) in b 8.719 * [taylor]: Taking taylor expansion of (* PI b) in b 8.719 * [taylor]: Taking taylor expansion of PI in b 8.719 * [backup-simplify]: Simplify PI into PI 8.719 * [taylor]: Taking taylor expansion of b in b 8.719 * [backup-simplify]: Simplify 0 into 0 8.719 * [backup-simplify]: Simplify 1 into 1 8.719 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.719 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.719 * [taylor]: Taking taylor expansion of a in b 8.719 * [backup-simplify]: Simplify a into a 8.719 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.719 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.719 * [taylor]: Taking taylor expansion of b in b 8.719 * [backup-simplify]: Simplify 0 into 0 8.719 * [backup-simplify]: Simplify 1 into 1 8.720 * [backup-simplify]: Simplify (/ 1 1) into 1 8.720 * [backup-simplify]: Simplify (* PI 0) into 0 8.722 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 8.722 * [backup-simplify]: Simplify (+ 0 1) into 1 8.723 * [backup-simplify]: Simplify (/ PI 1) into PI 8.723 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 8.723 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 8.723 * [taylor]: Taking taylor expansion of 1/2 in a 8.723 * [backup-simplify]: Simplify 1/2 into 1/2 8.723 * [taylor]: Taking taylor expansion of PI in a 8.723 * [backup-simplify]: Simplify PI into PI 8.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 8.724 * [backup-simplify]: Simplify 0 into 0 8.725 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 8.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.726 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 8.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 8.727 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI a))) (* 0 PI)) into (- (* 1/2 (/ PI a))) 8.727 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a 8.727 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 8.727 * [taylor]: Taking taylor expansion of 1/2 in a 8.727 * [backup-simplify]: Simplify 1/2 into 1/2 8.727 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.727 * [taylor]: Taking taylor expansion of PI in a 8.727 * [backup-simplify]: Simplify PI into PI 8.727 * [taylor]: Taking taylor expansion of a in a 8.727 * [backup-simplify]: Simplify 0 into 0 8.727 * [backup-simplify]: Simplify 1 into 1 8.728 * [backup-simplify]: Simplify (/ PI 1) into PI 8.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.732 * [backup-simplify]: Simplify (- 0) into 0 8.732 * [backup-simplify]: Simplify 0 into 0 8.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.733 * [backup-simplify]: Simplify 0 into 0 8.734 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.736 * [backup-simplify]: Simplify (+ 0 0) into 0 8.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 8.737 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (* 1/2 (/ PI (pow a 2))) 8.738 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a 8.738 * [taylor]: Taking taylor expansion of 1/2 in a 8.738 * [backup-simplify]: Simplify 1/2 into 1/2 8.738 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.738 * [taylor]: Taking taylor expansion of PI in a 8.738 * [backup-simplify]: Simplify PI into PI 8.738 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.738 * [taylor]: Taking taylor expansion of a in a 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify 1 into 1 8.738 * [backup-simplify]: Simplify (* 1 1) into 1 8.739 * [backup-simplify]: Simplify (/ PI 1) into PI 8.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.745 * [backup-simplify]: Simplify 0 into 0 8.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.748 * [backup-simplify]: Simplify (- 0) into 0 8.748 * [backup-simplify]: Simplify 0 into 0 8.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.749 * [backup-simplify]: Simplify 0 into 0 8.750 * [backup-simplify]: Simplify 0 into 0 8.750 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 2 1) 8.750 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 8.750 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 8.750 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 8.750 * [taylor]: Taking taylor expansion of PI in b 8.750 * [backup-simplify]: Simplify PI into PI 8.750 * [taylor]: Taking taylor expansion of (+ a b) in b 8.750 * [taylor]: Taking taylor expansion of a in b 8.750 * [backup-simplify]: Simplify a into a 8.750 * [taylor]: Taking taylor expansion of b in b 8.750 * [backup-simplify]: Simplify 0 into 0 8.750 * [backup-simplify]: Simplify 1 into 1 8.750 * [backup-simplify]: Simplify (+ a 0) into a 8.750 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 8.750 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 8.750 * [taylor]: Taking taylor expansion of PI in a 8.750 * [backup-simplify]: Simplify PI into PI 8.750 * [taylor]: Taking taylor expansion of (+ a b) in a 8.750 * [taylor]: Taking taylor expansion of a in a 8.750 * [backup-simplify]: Simplify 0 into 0 8.750 * [backup-simplify]: Simplify 1 into 1 8.750 * [taylor]: Taking taylor expansion of b in a 8.750 * [backup-simplify]: Simplify b into b 8.750 * [backup-simplify]: Simplify (+ 0 b) into b 8.750 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.750 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 8.750 * [taylor]: Taking taylor expansion of PI in a 8.751 * [backup-simplify]: Simplify PI into PI 8.751 * [taylor]: Taking taylor expansion of (+ a b) in a 8.751 * [taylor]: Taking taylor expansion of a in a 8.751 * [backup-simplify]: Simplify 0 into 0 8.751 * [backup-simplify]: Simplify 1 into 1 8.751 * [taylor]: Taking taylor expansion of b in a 8.751 * [backup-simplify]: Simplify b into b 8.751 * [backup-simplify]: Simplify (+ 0 b) into b 8.751 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.751 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.751 * [taylor]: Taking taylor expansion of PI in b 8.751 * [backup-simplify]: Simplify PI into PI 8.751 * [taylor]: Taking taylor expansion of b in b 8.751 * [backup-simplify]: Simplify 0 into 0 8.751 * [backup-simplify]: Simplify 1 into 1 8.752 * [backup-simplify]: Simplify (/ PI 1) into PI 8.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.752 * [backup-simplify]: Simplify 0 into 0 8.753 * [backup-simplify]: Simplify (+ 1 0) into 1 8.753 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 8.753 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 8.753 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.753 * [taylor]: Taking taylor expansion of PI in b 8.753 * [backup-simplify]: Simplify PI into PI 8.753 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.753 * [taylor]: Taking taylor expansion of b in b 8.753 * [backup-simplify]: Simplify 0 into 0 8.753 * [backup-simplify]: Simplify 1 into 1 8.754 * [backup-simplify]: Simplify (* 1 1) into 1 8.754 * [backup-simplify]: Simplify (/ PI 1) into PI 8.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.758 * [backup-simplify]: Simplify (- 0) into 0 8.758 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.759 * [backup-simplify]: Simplify 0 into 0 8.760 * [backup-simplify]: Simplify (+ 0 0) into 0 8.760 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 8.760 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 8.760 * [taylor]: Taking taylor expansion of PI in b 8.760 * [backup-simplify]: Simplify PI into PI 8.760 * [taylor]: Taking taylor expansion of (pow b 3) in b 8.760 * [taylor]: Taking taylor expansion of b in b 8.760 * [backup-simplify]: Simplify 0 into 0 8.760 * [backup-simplify]: Simplify 1 into 1 8.761 * [backup-simplify]: Simplify (* 1 1) into 1 8.761 * [backup-simplify]: Simplify (* 1 1) into 1 8.762 * [backup-simplify]: Simplify (/ PI 1) into PI 8.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.770 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.773 * [backup-simplify]: Simplify (- 0) into 0 8.773 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 8.774 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 8.774 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 8.774 * [taylor]: Taking taylor expansion of PI in b 8.774 * [backup-simplify]: Simplify PI into PI 8.774 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.774 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.774 * [taylor]: Taking taylor expansion of a in b 8.774 * [backup-simplify]: Simplify a into a 8.774 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.774 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.774 * [taylor]: Taking taylor expansion of b in b 8.774 * [backup-simplify]: Simplify 0 into 0 8.775 * [backup-simplify]: Simplify 1 into 1 8.775 * [backup-simplify]: Simplify (/ 1 1) into 1 8.775 * [backup-simplify]: Simplify (+ 0 1) into 1 8.776 * [backup-simplify]: Simplify (/ PI 1) into PI 8.776 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.776 * [taylor]: Taking taylor expansion of PI in a 8.776 * [backup-simplify]: Simplify PI into PI 8.776 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.776 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.776 * [taylor]: Taking taylor expansion of a in a 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [backup-simplify]: Simplify 1 into 1 8.776 * [backup-simplify]: Simplify (/ 1 1) into 1 8.776 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.776 * [taylor]: Taking taylor expansion of b in a 8.776 * [backup-simplify]: Simplify b into b 8.777 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.777 * [backup-simplify]: Simplify (+ 1 0) into 1 8.777 * [backup-simplify]: Simplify (/ PI 1) into PI 8.777 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.778 * [taylor]: Taking taylor expansion of PI in a 8.778 * [backup-simplify]: Simplify PI into PI 8.778 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.778 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.778 * [taylor]: Taking taylor expansion of a in a 8.778 * [backup-simplify]: Simplify 0 into 0 8.778 * [backup-simplify]: Simplify 1 into 1 8.778 * [backup-simplify]: Simplify (/ 1 1) into 1 8.778 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.778 * [taylor]: Taking taylor expansion of b in a 8.778 * [backup-simplify]: Simplify b into b 8.778 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.779 * [backup-simplify]: Simplify (+ 1 0) into 1 8.779 * [backup-simplify]: Simplify (/ PI 1) into PI 8.779 * [taylor]: Taking taylor expansion of PI in b 8.779 * [backup-simplify]: Simplify PI into PI 8.779 * [backup-simplify]: Simplify 0 into 0 8.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.780 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 8.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 8.781 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 8.781 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.781 * [taylor]: Taking taylor expansion of PI in b 8.781 * [backup-simplify]: Simplify PI into PI 8.781 * [taylor]: Taking taylor expansion of b in b 8.781 * [backup-simplify]: Simplify 0 into 0 8.781 * [backup-simplify]: Simplify 1 into 1 8.782 * [backup-simplify]: Simplify (/ PI 1) into PI 8.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.784 * [backup-simplify]: Simplify (- 0) into 0 8.784 * [backup-simplify]: Simplify 0 into 0 8.784 * [backup-simplify]: Simplify 0 into 0 8.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.786 * [backup-simplify]: Simplify (+ 0 0) into 0 8.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 8.787 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.787 * [taylor]: Taking taylor expansion of PI in b 8.787 * [backup-simplify]: Simplify PI into PI 8.787 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.787 * [taylor]: Taking taylor expansion of b in b 8.787 * [backup-simplify]: Simplify 0 into 0 8.787 * [backup-simplify]: Simplify 1 into 1 8.787 * [backup-simplify]: Simplify (* 1 1) into 1 8.788 * [backup-simplify]: Simplify (/ PI 1) into PI 8.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.794 * [backup-simplify]: Simplify 0 into 0 8.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.795 * [backup-simplify]: Simplify (- 0) into 0 8.796 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 8.796 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 8.796 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 8.796 * [taylor]: Taking taylor expansion of -1 in b 8.796 * [backup-simplify]: Simplify -1 into -1 8.796 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 8.796 * [taylor]: Taking taylor expansion of PI in b 8.796 * [backup-simplify]: Simplify PI into PI 8.796 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.796 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.796 * [taylor]: Taking taylor expansion of a in b 8.796 * [backup-simplify]: Simplify a into a 8.796 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.796 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.796 * [taylor]: Taking taylor expansion of b in b 8.796 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify 1 into 1 8.797 * [backup-simplify]: Simplify (/ 1 1) into 1 8.797 * [backup-simplify]: Simplify (+ 0 1) into 1 8.798 * [backup-simplify]: Simplify (/ PI 1) into PI 8.798 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 8.798 * [taylor]: Taking taylor expansion of -1 in a 8.798 * [backup-simplify]: Simplify -1 into -1 8.798 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.798 * [taylor]: Taking taylor expansion of PI in a 8.798 * [backup-simplify]: Simplify PI into PI 8.798 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.798 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.798 * [taylor]: Taking taylor expansion of a in a 8.798 * [backup-simplify]: Simplify 0 into 0 8.798 * [backup-simplify]: Simplify 1 into 1 8.798 * [backup-simplify]: Simplify (/ 1 1) into 1 8.798 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.798 * [taylor]: Taking taylor expansion of b in a 8.799 * [backup-simplify]: Simplify b into b 8.799 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.799 * [backup-simplify]: Simplify (+ 1 0) into 1 8.800 * [backup-simplify]: Simplify (/ PI 1) into PI 8.800 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 8.800 * [taylor]: Taking taylor expansion of -1 in a 8.800 * [backup-simplify]: Simplify -1 into -1 8.800 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.800 * [taylor]: Taking taylor expansion of PI in a 8.800 * [backup-simplify]: Simplify PI into PI 8.800 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.800 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.800 * [taylor]: Taking taylor expansion of a in a 8.800 * [backup-simplify]: Simplify 0 into 0 8.800 * [backup-simplify]: Simplify 1 into 1 8.800 * [backup-simplify]: Simplify (/ 1 1) into 1 8.800 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.800 * [taylor]: Taking taylor expansion of b in a 8.800 * [backup-simplify]: Simplify b into b 8.800 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.801 * [backup-simplify]: Simplify (+ 1 0) into 1 8.801 * [backup-simplify]: Simplify (/ PI 1) into PI 8.802 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 8.802 * [taylor]: Taking taylor expansion of (* -1 PI) in b 8.802 * [taylor]: Taking taylor expansion of -1 in b 8.802 * [backup-simplify]: Simplify -1 into -1 8.802 * [taylor]: Taking taylor expansion of PI in b 8.802 * [backup-simplify]: Simplify PI into PI 8.803 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 8.803 * [backup-simplify]: Simplify 0 into 0 8.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.804 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 8.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 8.805 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 8.805 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.805 * [taylor]: Taking taylor expansion of PI in b 8.805 * [backup-simplify]: Simplify PI into PI 8.805 * [taylor]: Taking taylor expansion of b in b 8.805 * [backup-simplify]: Simplify 0 into 0 8.805 * [backup-simplify]: Simplify 1 into 1 8.806 * [backup-simplify]: Simplify (/ PI 1) into PI 8.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.808 * [backup-simplify]: Simplify 0 into 0 8.809 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 8.809 * [backup-simplify]: Simplify 0 into 0 8.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.810 * [backup-simplify]: Simplify (+ 0 0) into 0 8.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 8.812 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 8.812 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 8.813 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.813 * [taylor]: Taking taylor expansion of PI in b 8.813 * [backup-simplify]: Simplify PI into PI 8.813 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.813 * [taylor]: Taking taylor expansion of b in b 8.813 * [backup-simplify]: Simplify 0 into 0 8.813 * [backup-simplify]: Simplify 1 into 1 8.813 * [backup-simplify]: Simplify (* 1 1) into 1 8.814 * [backup-simplify]: Simplify (/ PI 1) into PI 8.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.826 * [backup-simplify]: Simplify (- 0) into 0 8.826 * [backup-simplify]: Simplify 0 into 0 8.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.827 * [backup-simplify]: Simplify 0 into 0 8.828 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.828 * [backup-simplify]: Simplify 0 into 0 8.828 * [backup-simplify]: Simplify 0 into 0 8.828 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 8.828 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 8.828 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 8.828 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 8.828 * [taylor]: Taking taylor expansion of PI in b 8.828 * [backup-simplify]: Simplify PI into PI 8.828 * [taylor]: Taking taylor expansion of (+ a b) in b 8.828 * [taylor]: Taking taylor expansion of a in b 8.828 * [backup-simplify]: Simplify a into a 8.828 * [taylor]: Taking taylor expansion of b in b 8.828 * [backup-simplify]: Simplify 0 into 0 8.828 * [backup-simplify]: Simplify 1 into 1 8.829 * [backup-simplify]: Simplify (+ a 0) into a 8.829 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 8.829 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 8.829 * [taylor]: Taking taylor expansion of PI in a 8.829 * [backup-simplify]: Simplify PI into PI 8.829 * [taylor]: Taking taylor expansion of (+ a b) in a 8.829 * [taylor]: Taking taylor expansion of a in a 8.829 * [backup-simplify]: Simplify 0 into 0 8.829 * [backup-simplify]: Simplify 1 into 1 8.829 * [taylor]: Taking taylor expansion of b in a 8.829 * [backup-simplify]: Simplify b into b 8.829 * [backup-simplify]: Simplify (+ 0 b) into b 8.829 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.829 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 8.829 * [taylor]: Taking taylor expansion of PI in a 8.829 * [backup-simplify]: Simplify PI into PI 8.829 * [taylor]: Taking taylor expansion of (+ a b) in a 8.829 * [taylor]: Taking taylor expansion of a in a 8.829 * [backup-simplify]: Simplify 0 into 0 8.829 * [backup-simplify]: Simplify 1 into 1 8.829 * [taylor]: Taking taylor expansion of b in a 8.829 * [backup-simplify]: Simplify b into b 8.829 * [backup-simplify]: Simplify (+ 0 b) into b 8.829 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.829 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.829 * [taylor]: Taking taylor expansion of PI in b 8.829 * [backup-simplify]: Simplify PI into PI 8.829 * [taylor]: Taking taylor expansion of b in b 8.829 * [backup-simplify]: Simplify 0 into 0 8.829 * [backup-simplify]: Simplify 1 into 1 8.830 * [backup-simplify]: Simplify (/ PI 1) into PI 8.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.830 * [backup-simplify]: Simplify 0 into 0 8.830 * [backup-simplify]: Simplify (+ 1 0) into 1 8.831 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 8.831 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 8.831 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.831 * [taylor]: Taking taylor expansion of PI in b 8.831 * [backup-simplify]: Simplify PI into PI 8.831 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.831 * [taylor]: Taking taylor expansion of b in b 8.831 * [backup-simplify]: Simplify 0 into 0 8.831 * [backup-simplify]: Simplify 1 into 1 8.831 * [backup-simplify]: Simplify (* 1 1) into 1 8.831 * [backup-simplify]: Simplify (/ PI 1) into PI 8.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.834 * [backup-simplify]: Simplify (- 0) into 0 8.834 * [backup-simplify]: Simplify 0 into 0 8.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.834 * [backup-simplify]: Simplify 0 into 0 8.835 * [backup-simplify]: Simplify (+ 0 0) into 0 8.835 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 8.835 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 8.835 * [taylor]: Taking taylor expansion of PI in b 8.835 * [backup-simplify]: Simplify PI into PI 8.835 * [taylor]: Taking taylor expansion of (pow b 3) in b 8.835 * [taylor]: Taking taylor expansion of b in b 8.835 * [backup-simplify]: Simplify 0 into 0 8.835 * [backup-simplify]: Simplify 1 into 1 8.835 * [backup-simplify]: Simplify (* 1 1) into 1 8.835 * [backup-simplify]: Simplify (* 1 1) into 1 8.836 * [backup-simplify]: Simplify (/ PI 1) into PI 8.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.841 * [backup-simplify]: Simplify 0 into 0 8.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.842 * [backup-simplify]: Simplify (- 0) into 0 8.842 * [backup-simplify]: Simplify 0 into 0 8.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.843 * [backup-simplify]: Simplify 0 into 0 8.843 * [backup-simplify]: Simplify 0 into 0 8.843 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 8.843 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 8.843 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 8.843 * [taylor]: Taking taylor expansion of PI in b 8.843 * [backup-simplify]: Simplify PI into PI 8.843 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.843 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.843 * [taylor]: Taking taylor expansion of a in b 8.843 * [backup-simplify]: Simplify a into a 8.843 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.843 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.843 * [taylor]: Taking taylor expansion of b in b 8.843 * [backup-simplify]: Simplify 0 into 0 8.843 * [backup-simplify]: Simplify 1 into 1 8.843 * [backup-simplify]: Simplify (/ 1 1) into 1 8.844 * [backup-simplify]: Simplify (+ 0 1) into 1 8.844 * [backup-simplify]: Simplify (/ PI 1) into PI 8.844 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.844 * [taylor]: Taking taylor expansion of PI in a 8.844 * [backup-simplify]: Simplify PI into PI 8.844 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.844 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.844 * [taylor]: Taking taylor expansion of a in a 8.844 * [backup-simplify]: Simplify 0 into 0 8.844 * [backup-simplify]: Simplify 1 into 1 8.844 * [backup-simplify]: Simplify (/ 1 1) into 1 8.844 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.844 * [taylor]: Taking taylor expansion of b in a 8.844 * [backup-simplify]: Simplify b into b 8.844 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.845 * [backup-simplify]: Simplify (+ 1 0) into 1 8.845 * [backup-simplify]: Simplify (/ PI 1) into PI 8.845 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.845 * [taylor]: Taking taylor expansion of PI in a 8.845 * [backup-simplify]: Simplify PI into PI 8.845 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.845 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.845 * [taylor]: Taking taylor expansion of a in a 8.845 * [backup-simplify]: Simplify 0 into 0 8.845 * [backup-simplify]: Simplify 1 into 1 8.845 * [backup-simplify]: Simplify (/ 1 1) into 1 8.845 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.845 * [taylor]: Taking taylor expansion of b in a 8.845 * [backup-simplify]: Simplify b into b 8.845 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.846 * [backup-simplify]: Simplify (+ 1 0) into 1 8.846 * [backup-simplify]: Simplify (/ PI 1) into PI 8.846 * [taylor]: Taking taylor expansion of PI in b 8.846 * [backup-simplify]: Simplify PI into PI 8.846 * [backup-simplify]: Simplify 0 into 0 8.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.847 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 8.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 8.847 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 8.847 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.847 * [taylor]: Taking taylor expansion of PI in b 8.847 * [backup-simplify]: Simplify PI into PI 8.847 * [taylor]: Taking taylor expansion of b in b 8.847 * [backup-simplify]: Simplify 0 into 0 8.847 * [backup-simplify]: Simplify 1 into 1 8.847 * [backup-simplify]: Simplify (/ PI 1) into PI 8.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.849 * [backup-simplify]: Simplify (- 0) into 0 8.849 * [backup-simplify]: Simplify 0 into 0 8.849 * [backup-simplify]: Simplify 0 into 0 8.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.850 * [backup-simplify]: Simplify (+ 0 0) into 0 8.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 8.851 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.851 * [taylor]: Taking taylor expansion of PI in b 8.851 * [backup-simplify]: Simplify PI into PI 8.851 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.851 * [taylor]: Taking taylor expansion of b in b 8.851 * [backup-simplify]: Simplify 0 into 0 8.851 * [backup-simplify]: Simplify 1 into 1 8.851 * [backup-simplify]: Simplify (* 1 1) into 1 8.852 * [backup-simplify]: Simplify (/ PI 1) into PI 8.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.855 * [backup-simplify]: Simplify 0 into 0 8.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.856 * [backup-simplify]: Simplify (- 0) into 0 8.856 * [backup-simplify]: Simplify 0 into 0 8.856 * [backup-simplify]: Simplify 0 into 0 8.856 * [backup-simplify]: Simplify 0 into 0 8.856 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 8.856 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 8.856 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 8.856 * [taylor]: Taking taylor expansion of -1 in b 8.856 * [backup-simplify]: Simplify -1 into -1 8.856 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 8.856 * [taylor]: Taking taylor expansion of PI in b 8.856 * [backup-simplify]: Simplify PI into PI 8.856 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.856 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.856 * [taylor]: Taking taylor expansion of a in b 8.856 * [backup-simplify]: Simplify a into a 8.856 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.856 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.856 * [taylor]: Taking taylor expansion of b in b 8.856 * [backup-simplify]: Simplify 0 into 0 8.857 * [backup-simplify]: Simplify 1 into 1 8.857 * [backup-simplify]: Simplify (/ 1 1) into 1 8.857 * [backup-simplify]: Simplify (+ 0 1) into 1 8.857 * [backup-simplify]: Simplify (/ PI 1) into PI 8.857 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 8.857 * [taylor]: Taking taylor expansion of -1 in a 8.857 * [backup-simplify]: Simplify -1 into -1 8.857 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.857 * [taylor]: Taking taylor expansion of PI in a 8.857 * [backup-simplify]: Simplify PI into PI 8.857 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.857 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.857 * [taylor]: Taking taylor expansion of a in a 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify 1 into 1 8.858 * [backup-simplify]: Simplify (/ 1 1) into 1 8.858 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.858 * [taylor]: Taking taylor expansion of b in a 8.858 * [backup-simplify]: Simplify b into b 8.858 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.858 * [backup-simplify]: Simplify (+ 1 0) into 1 8.858 * [backup-simplify]: Simplify (/ PI 1) into PI 8.858 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 8.858 * [taylor]: Taking taylor expansion of -1 in a 8.859 * [backup-simplify]: Simplify -1 into -1 8.859 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.859 * [taylor]: Taking taylor expansion of PI in a 8.859 * [backup-simplify]: Simplify PI into PI 8.859 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.859 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.859 * [taylor]: Taking taylor expansion of a in a 8.859 * [backup-simplify]: Simplify 0 into 0 8.859 * [backup-simplify]: Simplify 1 into 1 8.859 * [backup-simplify]: Simplify (/ 1 1) into 1 8.859 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.859 * [taylor]: Taking taylor expansion of b in a 8.859 * [backup-simplify]: Simplify b into b 8.859 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.859 * [backup-simplify]: Simplify (+ 1 0) into 1 8.860 * [backup-simplify]: Simplify (/ PI 1) into PI 8.860 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 8.860 * [taylor]: Taking taylor expansion of (* -1 PI) in b 8.860 * [taylor]: Taking taylor expansion of -1 in b 8.860 * [backup-simplify]: Simplify -1 into -1 8.860 * [taylor]: Taking taylor expansion of PI in b 8.860 * [backup-simplify]: Simplify PI into PI 8.860 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 8.861 * [backup-simplify]: Simplify 0 into 0 8.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.861 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 8.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 8.862 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 8.862 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.862 * [taylor]: Taking taylor expansion of PI in b 8.862 * [backup-simplify]: Simplify PI into PI 8.862 * [taylor]: Taking taylor expansion of b in b 8.862 * [backup-simplify]: Simplify 0 into 0 8.862 * [backup-simplify]: Simplify 1 into 1 8.862 * [backup-simplify]: Simplify (/ PI 1) into PI 8.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.864 * [backup-simplify]: Simplify 0 into 0 8.864 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 8.864 * [backup-simplify]: Simplify 0 into 0 8.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.865 * [backup-simplify]: Simplify (+ 0 0) into 0 8.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 8.866 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 8.866 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 8.866 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.866 * [taylor]: Taking taylor expansion of PI in b 8.866 * [backup-simplify]: Simplify PI into PI 8.866 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.866 * [taylor]: Taking taylor expansion of b in b 8.867 * [backup-simplify]: Simplify 0 into 0 8.867 * [backup-simplify]: Simplify 1 into 1 8.867 * [backup-simplify]: Simplify (* 1 1) into 1 8.867 * [backup-simplify]: Simplify (/ PI 1) into PI 8.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.871 * [backup-simplify]: Simplify (- 0) into 0 8.871 * [backup-simplify]: Simplify 0 into 0 8.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.871 * [backup-simplify]: Simplify 0 into 0 8.872 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.872 * [backup-simplify]: Simplify 0 into 0 8.872 * [backup-simplify]: Simplify 0 into 0 8.872 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 8.872 * [backup-simplify]: Simplify (/ (/ (/ PI (+ a b)) 2) a) into (* 1/2 (/ PI (* a (+ a b)))) 8.872 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in (a b) around 0 8.872 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in b 8.872 * [taylor]: Taking taylor expansion of 1/2 in b 8.872 * [backup-simplify]: Simplify 1/2 into 1/2 8.872 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in b 8.872 * [taylor]: Taking taylor expansion of PI in b 8.872 * [backup-simplify]: Simplify PI into PI 8.873 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 8.873 * [taylor]: Taking taylor expansion of a in b 8.873 * [backup-simplify]: Simplify a into a 8.873 * [taylor]: Taking taylor expansion of (+ a b) in b 8.873 * [taylor]: Taking taylor expansion of a in b 8.873 * [backup-simplify]: Simplify a into a 8.873 * [taylor]: Taking taylor expansion of b in b 8.873 * [backup-simplify]: Simplify 0 into 0 8.873 * [backup-simplify]: Simplify 1 into 1 8.873 * [backup-simplify]: Simplify (+ a 0) into a 8.873 * [backup-simplify]: Simplify (* a a) into (pow a 2) 8.873 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 8.873 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 8.873 * [taylor]: Taking taylor expansion of 1/2 in a 8.873 * [backup-simplify]: Simplify 1/2 into 1/2 8.873 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 8.873 * [taylor]: Taking taylor expansion of PI in a 8.873 * [backup-simplify]: Simplify PI into PI 8.873 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 8.873 * [taylor]: Taking taylor expansion of a in a 8.873 * [backup-simplify]: Simplify 0 into 0 8.873 * [backup-simplify]: Simplify 1 into 1 8.873 * [taylor]: Taking taylor expansion of (+ a b) in a 8.873 * [taylor]: Taking taylor expansion of a in a 8.873 * [backup-simplify]: Simplify 0 into 0 8.873 * [backup-simplify]: Simplify 1 into 1 8.873 * [taylor]: Taking taylor expansion of b in a 8.873 * [backup-simplify]: Simplify b into b 8.873 * [backup-simplify]: Simplify (+ 0 b) into b 8.873 * [backup-simplify]: Simplify (* 0 b) into 0 8.873 * [backup-simplify]: Simplify (+ 1 0) into 1 8.874 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 8.874 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.874 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 8.874 * [taylor]: Taking taylor expansion of 1/2 in a 8.874 * [backup-simplify]: Simplify 1/2 into 1/2 8.874 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 8.874 * [taylor]: Taking taylor expansion of PI in a 8.874 * [backup-simplify]: Simplify PI into PI 8.874 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 8.874 * [taylor]: Taking taylor expansion of a in a 8.874 * [backup-simplify]: Simplify 0 into 0 8.874 * [backup-simplify]: Simplify 1 into 1 8.874 * [taylor]: Taking taylor expansion of (+ a b) in a 8.874 * [taylor]: Taking taylor expansion of a in a 8.874 * [backup-simplify]: Simplify 0 into 0 8.874 * [backup-simplify]: Simplify 1 into 1 8.874 * [taylor]: Taking taylor expansion of b in a 8.874 * [backup-simplify]: Simplify b into b 8.874 * [backup-simplify]: Simplify (+ 0 b) into b 8.874 * [backup-simplify]: Simplify (* 0 b) into 0 8.874 * [backup-simplify]: Simplify (+ 1 0) into 1 8.875 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 8.875 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.875 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 8.875 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 8.875 * [taylor]: Taking taylor expansion of 1/2 in b 8.875 * [backup-simplify]: Simplify 1/2 into 1/2 8.875 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.875 * [taylor]: Taking taylor expansion of PI in b 8.875 * [backup-simplify]: Simplify PI into PI 8.875 * [taylor]: Taking taylor expansion of b in b 8.875 * [backup-simplify]: Simplify 0 into 0 8.875 * [backup-simplify]: Simplify 1 into 1 8.875 * [backup-simplify]: Simplify (/ PI 1) into PI 8.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 8.876 * [backup-simplify]: Simplify 0 into 0 8.877 * [backup-simplify]: Simplify (+ 0 0) into 0 8.877 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 b))) into 1 8.877 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 8.877 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 8.877 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 8.877 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 8.877 * [taylor]: Taking taylor expansion of 1/2 in b 8.877 * [backup-simplify]: Simplify 1/2 into 1/2 8.877 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.877 * [taylor]: Taking taylor expansion of PI in b 8.877 * [backup-simplify]: Simplify PI into PI 8.877 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.877 * [taylor]: Taking taylor expansion of b in b 8.877 * [backup-simplify]: Simplify 0 into 0 8.877 * [backup-simplify]: Simplify 1 into 1 8.878 * [backup-simplify]: Simplify (* 1 1) into 1 8.878 * [backup-simplify]: Simplify (/ PI 1) into PI 8.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.881 * [backup-simplify]: Simplify (- 0) into 0 8.881 * [backup-simplify]: Simplify 0 into 0 8.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.882 * [backup-simplify]: Simplify 0 into 0 8.883 * [backup-simplify]: Simplify (+ 0 0) into 0 8.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 b)))) into 0 8.884 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 8.884 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 8.884 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 8.884 * [taylor]: Taking taylor expansion of 1/2 in b 8.884 * [backup-simplify]: Simplify 1/2 into 1/2 8.884 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 8.884 * [taylor]: Taking taylor expansion of PI in b 8.884 * [backup-simplify]: Simplify PI into PI 8.884 * [taylor]: Taking taylor expansion of (pow b 3) in b 8.884 * [taylor]: Taking taylor expansion of b in b 8.884 * [backup-simplify]: Simplify 0 into 0 8.884 * [backup-simplify]: Simplify 1 into 1 8.884 * [backup-simplify]: Simplify (* 1 1) into 1 8.885 * [backup-simplify]: Simplify (* 1 1) into 1 8.885 * [backup-simplify]: Simplify (/ PI 1) into PI 8.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.891 * [backup-simplify]: Simplify 0 into 0 8.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.892 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.893 * [backup-simplify]: Simplify (- 0) into 0 8.893 * [backup-simplify]: Simplify 0 into 0 8.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2) (/ 1 a)) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 8.894 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 8.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 8.894 * [taylor]: Taking taylor expansion of 1/2 in b 8.894 * [backup-simplify]: Simplify 1/2 into 1/2 8.894 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 8.894 * [taylor]: Taking taylor expansion of (* a PI) in b 8.894 * [taylor]: Taking taylor expansion of a in b 8.894 * [backup-simplify]: Simplify a into a 8.894 * [taylor]: Taking taylor expansion of PI in b 8.894 * [backup-simplify]: Simplify PI into PI 8.894 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.895 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.895 * [taylor]: Taking taylor expansion of a in b 8.895 * [backup-simplify]: Simplify a into a 8.895 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.895 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.895 * [taylor]: Taking taylor expansion of b in b 8.895 * [backup-simplify]: Simplify 0 into 0 8.895 * [backup-simplify]: Simplify 1 into 1 8.895 * [backup-simplify]: Simplify (/ 1 1) into 1 8.895 * [backup-simplify]: Simplify (* a PI) into (* a PI) 8.895 * [backup-simplify]: Simplify (+ 0 1) into 1 8.895 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 8.895 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 8.895 * [taylor]: Taking taylor expansion of 1/2 in a 8.895 * [backup-simplify]: Simplify 1/2 into 1/2 8.895 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 8.895 * [taylor]: Taking taylor expansion of (* a PI) in a 8.895 * [taylor]: Taking taylor expansion of a in a 8.895 * [backup-simplify]: Simplify 0 into 0 8.895 * [backup-simplify]: Simplify 1 into 1 8.895 * [taylor]: Taking taylor expansion of PI in a 8.895 * [backup-simplify]: Simplify PI into PI 8.895 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.895 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.895 * [taylor]: Taking taylor expansion of a in a 8.896 * [backup-simplify]: Simplify 0 into 0 8.896 * [backup-simplify]: Simplify 1 into 1 8.896 * [backup-simplify]: Simplify (/ 1 1) into 1 8.896 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.896 * [taylor]: Taking taylor expansion of b in a 8.896 * [backup-simplify]: Simplify b into b 8.896 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.896 * [backup-simplify]: Simplify (* 0 PI) into 0 8.897 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.897 * [backup-simplify]: Simplify (+ 1 0) into 1 8.898 * [backup-simplify]: Simplify (/ PI 1) into PI 8.898 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 8.898 * [taylor]: Taking taylor expansion of 1/2 in a 8.898 * [backup-simplify]: Simplify 1/2 into 1/2 8.898 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 8.898 * [taylor]: Taking taylor expansion of (* a PI) in a 8.898 * [taylor]: Taking taylor expansion of a in a 8.898 * [backup-simplify]: Simplify 0 into 0 8.898 * [backup-simplify]: Simplify 1 into 1 8.898 * [taylor]: Taking taylor expansion of PI in a 8.898 * [backup-simplify]: Simplify PI into PI 8.898 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.898 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.898 * [taylor]: Taking taylor expansion of a in a 8.898 * [backup-simplify]: Simplify 0 into 0 8.898 * [backup-simplify]: Simplify 1 into 1 8.898 * [backup-simplify]: Simplify (/ 1 1) into 1 8.898 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.898 * [taylor]: Taking taylor expansion of b in a 8.898 * [backup-simplify]: Simplify b into b 8.898 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.899 * [backup-simplify]: Simplify (* 0 PI) into 0 8.900 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.900 * [backup-simplify]: Simplify (+ 1 0) into 1 8.900 * [backup-simplify]: Simplify (/ PI 1) into PI 8.901 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 8.901 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 8.901 * [taylor]: Taking taylor expansion of 1/2 in b 8.901 * [backup-simplify]: Simplify 1/2 into 1/2 8.901 * [taylor]: Taking taylor expansion of PI in b 8.901 * [backup-simplify]: Simplify PI into PI 8.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 8.902 * [backup-simplify]: Simplify 0 into 0 8.903 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.904 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 8.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 8.905 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 8.905 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 8.905 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 8.905 * [taylor]: Taking taylor expansion of 1/2 in b 8.905 * [backup-simplify]: Simplify 1/2 into 1/2 8.905 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.905 * [taylor]: Taking taylor expansion of PI in b 8.905 * [backup-simplify]: Simplify PI into PI 8.905 * [taylor]: Taking taylor expansion of b in b 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify 1 into 1 8.906 * [backup-simplify]: Simplify (/ PI 1) into PI 8.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.909 * [backup-simplify]: Simplify (- 0) into 0 8.909 * [backup-simplify]: Simplify 0 into 0 8.910 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.910 * [backup-simplify]: Simplify 0 into 0 8.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.913 * [backup-simplify]: Simplify (+ 0 0) into 0 8.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 8.915 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 8.915 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 8.915 * [taylor]: Taking taylor expansion of 1/2 in b 8.915 * [backup-simplify]: Simplify 1/2 into 1/2 8.915 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.915 * [taylor]: Taking taylor expansion of PI in b 8.915 * [backup-simplify]: Simplify PI into PI 8.915 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.915 * [taylor]: Taking taylor expansion of b in b 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 1 into 1 8.916 * [backup-simplify]: Simplify (* 1 1) into 1 8.916 * [backup-simplify]: Simplify (/ PI 1) into PI 8.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.923 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.927 * [backup-simplify]: Simplify (- 0) into 0 8.927 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ 1 (- a))) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 8.929 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 8.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 8.929 * [taylor]: Taking taylor expansion of 1/2 in b 8.929 * [backup-simplify]: Simplify 1/2 into 1/2 8.929 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 8.929 * [taylor]: Taking taylor expansion of (* a PI) in b 8.929 * [taylor]: Taking taylor expansion of a in b 8.929 * [backup-simplify]: Simplify a into a 8.929 * [taylor]: Taking taylor expansion of PI in b 8.929 * [backup-simplify]: Simplify PI into PI 8.929 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.929 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.929 * [taylor]: Taking taylor expansion of a in b 8.929 * [backup-simplify]: Simplify a into a 8.929 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.929 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.929 * [taylor]: Taking taylor expansion of b in b 8.929 * [backup-simplify]: Simplify 0 into 0 8.929 * [backup-simplify]: Simplify 1 into 1 8.935 * [backup-simplify]: Simplify (/ 1 1) into 1 8.935 * [backup-simplify]: Simplify (* a PI) into (* a PI) 8.936 * [backup-simplify]: Simplify (+ 0 1) into 1 8.936 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 8.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 8.936 * [taylor]: Taking taylor expansion of 1/2 in a 8.936 * [backup-simplify]: Simplify 1/2 into 1/2 8.936 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 8.936 * [taylor]: Taking taylor expansion of (* a PI) in a 8.936 * [taylor]: Taking taylor expansion of a in a 8.936 * [backup-simplify]: Simplify 0 into 0 8.936 * [backup-simplify]: Simplify 1 into 1 8.937 * [taylor]: Taking taylor expansion of PI in a 8.937 * [backup-simplify]: Simplify PI into PI 8.937 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.937 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.937 * [taylor]: Taking taylor expansion of a in a 8.937 * [backup-simplify]: Simplify 0 into 0 8.937 * [backup-simplify]: Simplify 1 into 1 8.937 * [backup-simplify]: Simplify (/ 1 1) into 1 8.937 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.937 * [taylor]: Taking taylor expansion of b in a 8.937 * [backup-simplify]: Simplify b into b 8.937 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.938 * [backup-simplify]: Simplify (* 0 PI) into 0 8.939 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.940 * [backup-simplify]: Simplify (+ 1 0) into 1 8.940 * [backup-simplify]: Simplify (/ PI 1) into PI 8.940 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 8.940 * [taylor]: Taking taylor expansion of 1/2 in a 8.940 * [backup-simplify]: Simplify 1/2 into 1/2 8.940 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 8.940 * [taylor]: Taking taylor expansion of (* a PI) in a 8.940 * [taylor]: Taking taylor expansion of a in a 8.940 * [backup-simplify]: Simplify 0 into 0 8.940 * [backup-simplify]: Simplify 1 into 1 8.940 * [taylor]: Taking taylor expansion of PI in a 8.940 * [backup-simplify]: Simplify PI into PI 8.940 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.940 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.941 * [taylor]: Taking taylor expansion of a in a 8.941 * [backup-simplify]: Simplify 0 into 0 8.941 * [backup-simplify]: Simplify 1 into 1 8.941 * [backup-simplify]: Simplify (/ 1 1) into 1 8.941 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.941 * [taylor]: Taking taylor expansion of b in a 8.941 * [backup-simplify]: Simplify b into b 8.941 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.942 * [backup-simplify]: Simplify (* 0 PI) into 0 8.943 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.944 * [backup-simplify]: Simplify (+ 1 0) into 1 8.944 * [backup-simplify]: Simplify (/ PI 1) into PI 8.945 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 8.945 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 8.945 * [taylor]: Taking taylor expansion of 1/2 in b 8.945 * [backup-simplify]: Simplify 1/2 into 1/2 8.945 * [taylor]: Taking taylor expansion of PI in b 8.945 * [backup-simplify]: Simplify PI into PI 8.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 8.946 * [backup-simplify]: Simplify 0 into 0 8.947 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.948 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 8.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 8.949 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 8.949 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 8.949 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 8.949 * [taylor]: Taking taylor expansion of 1/2 in b 8.949 * [backup-simplify]: Simplify 1/2 into 1/2 8.949 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.949 * [taylor]: Taking taylor expansion of PI in b 8.949 * [backup-simplify]: Simplify PI into PI 8.949 * [taylor]: Taking taylor expansion of b in b 8.949 * [backup-simplify]: Simplify 0 into 0 8.949 * [backup-simplify]: Simplify 1 into 1 8.950 * [backup-simplify]: Simplify (/ PI 1) into PI 8.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.954 * [backup-simplify]: Simplify (- 0) into 0 8.955 * [backup-simplify]: Simplify 0 into 0 8.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.956 * [backup-simplify]: Simplify 0 into 0 8.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.959 * [backup-simplify]: Simplify (+ 0 0) into 0 8.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 8.961 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 8.961 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 8.961 * [taylor]: Taking taylor expansion of 1/2 in b 8.961 * [backup-simplify]: Simplify 1/2 into 1/2 8.961 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.961 * [taylor]: Taking taylor expansion of PI in b 8.961 * [backup-simplify]: Simplify PI into PI 8.961 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.961 * [taylor]: Taking taylor expansion of b in b 8.961 * [backup-simplify]: Simplify 0 into 0 8.961 * [backup-simplify]: Simplify 1 into 1 8.961 * [backup-simplify]: Simplify (* 1 1) into 1 8.962 * [backup-simplify]: Simplify (/ PI 1) into PI 8.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.969 * [backup-simplify]: Simplify 0 into 0 8.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.972 * [backup-simplify]: Simplify (- 0) into 0 8.972 * [backup-simplify]: Simplify 0 into 0 8.973 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.973 * [backup-simplify]: Simplify 0 into 0 8.973 * [backup-simplify]: Simplify 0 into 0 8.973 * * * [progress]: simplifying candidates 8.973 * * * * [progress]: [ 1 / 1082 ] simplifiying candidate # 8.973 * * * * [progress]: [ 2 / 1082 ] simplifiying candidate 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simplifiying candidate # 9.027 * * * * [progress]: [ 621 / 1082 ] simplifiying candidate # 9.027 * * * * [progress]: [ 622 / 1082 ] simplifiying candidate # 9.027 * * * * [progress]: [ 623 / 1082 ] simplifiying candidate # 9.027 * * * * [progress]: [ 624 / 1082 ] simplifiying candidate # 9.027 * * * * [progress]: [ 625 / 1082 ] simplifiying candidate # 9.028 * * * * [progress]: [ 626 / 1082 ] simplifiying candidate # 9.028 * * * * [progress]: [ 627 / 1082 ] simplifiying candidate # 9.028 * * * * [progress]: [ 628 / 1082 ] simplifiying candidate # 9.028 * * * * [progress]: [ 629 / 1082 ] simplifiying candidate # 9.028 * * * * [progress]: [ 630 / 1082 ] simplifiying candidate # 9.028 * * * * [progress]: [ 631 / 1082 ] simplifiying candidate # 9.028 * * * * [progress]: [ 632 / 1082 ] simplifiying candidate # 9.028 * * * * [progress]: [ 633 / 1082 ] simplifiying candidate # 9.028 * * * * [progress]: [ 634 / 1082 ] simplifiying candidate # 9.028 * * * * [progress]: [ 635 / 1082 ] 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simplifiying candidate # 9.030 * * * * [progress]: [ 651 / 1082 ] simplifiying candidate # 9.030 * * * * [progress]: [ 652 / 1082 ] simplifiying candidate # 9.030 * * * * [progress]: [ 653 / 1082 ] simplifiying candidate # 9.030 * * * * [progress]: [ 654 / 1082 ] simplifiying candidate # 9.030 * * * * [progress]: [ 655 / 1082 ] simplifiying candidate # 9.030 * * * * [progress]: [ 656 / 1082 ] simplifiying candidate # 9.030 * * * * [progress]: [ 657 / 1082 ] simplifiying candidate # 9.030 * * * * [progress]: [ 658 / 1082 ] simplifiying candidate # 9.030 * * * * [progress]: [ 659 / 1082 ] simplifiying candidate # 9.030 * * * * [progress]: [ 660 / 1082 ] simplifiying candidate # 9.030 * * * * [progress]: [ 661 / 1082 ] simplifiying candidate # 9.031 * * * * [progress]: [ 662 / 1082 ] simplifiying candidate # 9.031 * * * * [progress]: [ 663 / 1082 ] simplifiying candidate # 9.031 * * * * [progress]: [ 664 / 1082 ] simplifiying candidate # 9.031 * * * * [progress]: [ 665 / 1082 ] 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simplifiying candidate # 9.032 * * * * [progress]: [ 681 / 1082 ] simplifiying candidate # 9.032 * * * * [progress]: [ 682 / 1082 ] simplifiying candidate # 9.032 * * * * [progress]: [ 683 / 1082 ] simplifiying candidate # 9.032 * * * * [progress]: [ 684 / 1082 ] simplifiying candidate # 9.032 * * * * [progress]: [ 685 / 1082 ] simplifiying candidate # 9.032 * * * * [progress]: [ 686 / 1082 ] simplifiying candidate # 9.033 * * * * [progress]: [ 687 / 1082 ] simplifiying candidate # 9.033 * * * * [progress]: [ 688 / 1082 ] simplifiying candidate # 9.033 * * * * [progress]: [ 689 / 1082 ] simplifiying candidate # 9.033 * * * * [progress]: [ 690 / 1082 ] simplifiying candidate # 9.033 * * * * [progress]: [ 691 / 1082 ] simplifiying candidate # 9.033 * * * * [progress]: [ 692 / 1082 ] simplifiying candidate # 9.033 * * * * [progress]: [ 693 / 1082 ] simplifiying candidate # 9.033 * * * * [progress]: [ 694 / 1082 ] simplifiying candidate # 9.033 * * * * [progress]: [ 695 / 1082 ] simplifiying candidate # 9.033 * * * * [progress]: [ 696 / 1082 ] simplifiying candidate # 9.033 * * * * [progress]: [ 697 / 1082 ] simplifiying candidate # 9.033 * * * * [progress]: [ 698 / 1082 ] simplifiying candidate # 9.033 * * * * [progress]: [ 699 / 1082 ] simplifiying candidate # 9.034 * * * * [progress]: [ 700 / 1082 ] simplifiying candidate # 9.034 * * * * [progress]: [ 701 / 1082 ] simplifiying candidate # 9.034 * * * * [progress]: [ 702 / 1082 ] simplifiying candidate # 9.034 * * * * [progress]: [ 703 / 1082 ] simplifiying candidate # 9.034 * * * * [progress]: [ 704 / 1082 ] simplifiying candidate # 9.034 * * * * [progress]: [ 705 / 1082 ] simplifiying candidate # 9.034 * * * * [progress]: [ 706 / 1082 ] simplifiying candidate # 9.034 * * * * [progress]: [ 707 / 1082 ] simplifiying candidate # 9.034 * * * * [progress]: [ 708 / 1082 ] simplifiying candidate # 9.034 * * * * [progress]: [ 709 / 1082 ] simplifiying candidate # 9.034 * * * * [progress]: [ 710 / 1082 ] 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simplifiying candidate # 9.037 * * * * [progress]: [ 741 / 1082 ] simplifiying candidate # 9.037 * * * * [progress]: [ 742 / 1082 ] simplifiying candidate # 9.037 * * * * [progress]: [ 743 / 1082 ] simplifiying candidate # 9.037 * * * * [progress]: [ 744 / 1082 ] simplifiying candidate # 9.037 * * * * [progress]: [ 745 / 1082 ] simplifiying candidate # 9.037 * * * * [progress]: [ 746 / 1082 ] simplifiying candidate # 9.037 * * * * [progress]: [ 747 / 1082 ] simplifiying candidate # 9.037 * * * * [progress]: [ 748 / 1082 ] simplifiying candidate # 9.037 * * * * [progress]: [ 749 / 1082 ] simplifiying candidate #real (real->posit16 (/ 1 (/ b (/ (/ PI (+ a b)) 2))))))) (- b a)))> 9.037 * * * * [progress]: [ 750 / 1082 ] simplifiying candidate # 9.037 * * * * [progress]: [ 751 / 1082 ] simplifiying candidate # 9.038 * * * * [progress]: [ 752 / 1082 ] simplifiying candidate # 9.038 * * * * [progress]: [ 753 / 1082 ] simplifiying candidate # 9.038 * * * * [progress]: [ 754 / 1082 ] 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simplifiying candidate # 9.039 * * * * [progress]: [ 770 / 1082 ] simplifiying candidate # 9.039 * * * * [progress]: [ 771 / 1082 ] simplifiying candidate # 9.039 * * * * [progress]: [ 772 / 1082 ] simplifiying candidate # 9.039 * * * * [progress]: [ 773 / 1082 ] simplifiying candidate # 9.039 * * * * [progress]: [ 774 / 1082 ] simplifiying candidate # 9.039 * * * * [progress]: [ 775 / 1082 ] simplifiying candidate # 9.039 * * * * [progress]: [ 776 / 1082 ] simplifiying candidate # 9.039 * * * * [progress]: [ 777 / 1082 ] simplifiying candidate # 9.039 * * * * [progress]: [ 778 / 1082 ] simplifiying candidate # 9.039 * * * * [progress]: [ 779 / 1082 ] simplifiying candidate # 9.040 * * * * [progress]: [ 780 / 1082 ] simplifiying candidate # 9.040 * * * * [progress]: [ 781 / 1082 ] simplifiying candidate # 9.040 * * * * [progress]: [ 782 / 1082 ] simplifiying candidate # 9.040 * * * * [progress]: [ 783 / 1082 ] simplifiying candidate #real (real->posit16 (/ PI (+ a b)))) 2))))) (- b a)))> 9.040 * * * * [progress]: [ 784 / 1082 ] simplifiying candidate # 9.040 * * * * [progress]: [ 785 / 1082 ] simplifiying candidate # 9.040 * * * * [progress]: [ 786 / 1082 ] simplifiying candidate # 9.040 * * * * [progress]: [ 787 / 1082 ] simplifiying candidate # 9.040 * * * * [progress]: [ 788 / 1082 ] simplifiying candidate # 9.040 * * * * [progress]: [ 789 / 1082 ] simplifiying candidate # 9.040 * * * * [progress]: [ 790 / 1082 ] simplifiying candidate # 9.040 * * * * [progress]: [ 791 / 1082 ] simplifiying candidate # 9.041 * * * * [progress]: [ 792 / 1082 ] simplifiying candidate # 9.041 * * * * [progress]: [ 793 / 1082 ] simplifiying candidate # 9.041 * * * * [progress]: [ 794 / 1082 ] simplifiying candidate # 9.041 * * * * [progress]: [ 795 / 1082 ] simplifiying candidate # 9.041 * * * * [progress]: [ 796 / 1082 ] simplifiying candidate # 9.041 * * * * [progress]: [ 797 / 1082 ] simplifiying candidate # 9.041 * * * * [progress]: [ 798 / 1082 ] simplifiying candidate # 9.041 * * * * [progress]: [ 799 / 1082 ] simplifiying candidate # 9.041 * * * * [progress]: [ 800 / 1082 ] simplifiying candidate # 9.041 * * * * [progress]: [ 801 / 1082 ] simplifiying candidate # 9.041 * * * * [progress]: [ 802 / 1082 ] simplifiying candidate # 9.041 * * * * [progress]: [ 803 / 1082 ] simplifiying candidate # 9.042 * * * * [progress]: [ 804 / 1082 ] simplifiying candidate # 9.042 * * * * [progress]: [ 805 / 1082 ] simplifiying candidate # 9.042 * * * * [progress]: [ 806 / 1082 ] simplifiying candidate # 9.042 * * * * [progress]: [ 807 / 1082 ] simplifiying candidate # 9.042 * * * * [progress]: [ 808 / 1082 ] simplifiying candidate # 9.042 * * * * [progress]: [ 809 / 1082 ] simplifiying candidate # 9.042 * * * * [progress]: [ 810 / 1082 ] simplifiying candidate # 9.042 * * * * [progress]: [ 811 / 1082 ] simplifiying candidate # 9.042 * * * * [progress]: [ 812 / 1082 ] simplifiying candidate # 9.042 * * * * [progress]: [ 813 / 1082 ] simplifiying candidate # 9.042 * * * * [progress]: [ 814 / 1082 ] simplifiying candidate # 9.042 * * * * [progress]: [ 815 / 1082 ] simplifiying candidate # 9.042 * * * * [progress]: [ 816 / 1082 ] simplifiying candidate # 9.042 * * * * [progress]: [ 817 / 1082 ] simplifiying candidate #real (real->posit16 (/ PI (+ a b)))) 2) a) (- (/ 1 (/ b (/ (/ PI (+ a b)) 2))))) (- b a)))> 9.043 * * * * [progress]: [ 818 / 1082 ] simplifiying candidate # 9.043 * * * * [progress]: [ 819 / 1082 ] simplifiying candidate # 9.043 * * * * [progress]: [ 820 / 1082 ] simplifiying candidate # 9.043 * * * * [progress]: [ 821 / 1082 ] simplifiying candidate # 9.043 * * * * [progress]: [ 822 / 1082 ] simplifiying candidate # 9.043 * * * * [progress]: [ 823 / 1082 ] simplifiying candidate # 9.043 * * * * [progress]: [ 824 / 1082 ] simplifiying candidate # 9.043 * * * * [progress]: [ 825 / 1082 ] simplifiying candidate # 9.043 * * * * [progress]: [ 826 / 1082 ] simplifiying candidate # 9.043 * * * * [progress]: [ 827 / 1082 ] simplifiying 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# 9.045 * * * * [progress]: [ 843 / 1082 ] simplifiying candidate # 9.045 * * * * [progress]: [ 844 / 1082 ] simplifiying candidate # 9.045 * * * * [progress]: [ 845 / 1082 ] simplifiying candidate # 9.045 * * * * [progress]: [ 846 / 1082 ] simplifiying candidate # 9.045 * * * * [progress]: [ 847 / 1082 ] simplifiying candidate # 9.045 * * * * [progress]: [ 848 / 1082 ] simplifiying candidate # 9.045 * * * * [progress]: [ 849 / 1082 ] simplifiying candidate # 9.045 * * * * [progress]: [ 850 / 1082 ] simplifiying candidate # 9.045 * * * * [progress]: [ 851 / 1082 ] simplifiying candidate # 9.045 * * * * [progress]: [ 852 / 1082 ] simplifiying candidate # 9.045 * * * * [progress]: [ 853 / 1082 ] simplifiying candidate # 9.045 * * * * [progress]: [ 854 / 1082 ] simplifiying candidate # 9.046 * * * * [progress]: [ 855 / 1082 ] simplifiying candidate # 9.046 * * * * [progress]: [ 856 / 1082 ] simplifiying candidate # 9.046 * * * * [progress]: [ 857 / 1082 ] simplifiying candidate # 9.046 * * * * [progress]: [ 858 / 1082 ] simplifiying candidate # 9.046 * * * * [progress]: [ 859 / 1082 ] simplifiying candidate # 9.046 * * * * [progress]: [ 860 / 1082 ] simplifiying candidate # 9.046 * * * * [progress]: [ 861 / 1082 ] simplifiying candidate # 9.046 * * * * [progress]: [ 862 / 1082 ] simplifiying candidate # 9.046 * * * * [progress]: [ 863 / 1082 ] simplifiying candidate # 9.046 * * * * [progress]: [ 864 / 1082 ] simplifiying candidate # 9.046 * * * * [progress]: [ 865 / 1082 ] simplifiying candidate # 9.046 * * * * [progress]: [ 866 / 1082 ] simplifiying candidate # 9.047 * * * * [progress]: [ 867 / 1082 ] simplifiying candidate # 9.047 * * * * [progress]: [ 868 / 1082 ] simplifiying candidate # 9.047 * * * * [progress]: [ 869 / 1082 ] simplifiying candidate # 9.047 * * * * [progress]: [ 870 / 1082 ] simplifiying candidate # 9.047 * * * * [progress]: [ 871 / 1082 ] simplifiying candidate # 9.047 * * * * [progress]: [ 872 / 1082 ] simplifiying candidate # 9.047 * * * * [progress]: [ 873 / 1082 ] simplifiying candidate # 9.047 * * * * [progress]: [ 874 / 1082 ] simplifiying candidate # 9.047 * * * * [progress]: [ 875 / 1082 ] simplifiying candidate # 9.047 * * * * [progress]: [ 876 / 1082 ] simplifiying candidate # 9.047 * * * * [progress]: [ 877 / 1082 ] simplifiying candidate # 9.047 * * * * [progress]: [ 878 / 1082 ] simplifiying candidate # 9.048 * * * * [progress]: [ 879 / 1082 ] simplifiying candidate # 9.048 * * * * [progress]: [ 880 / 1082 ] simplifiying candidate # 9.048 * * * * [progress]: [ 881 / 1082 ] simplifiying candidate # 9.048 * * * * [progress]: [ 882 / 1082 ] simplifiying candidate # 9.048 * * * * [progress]: [ 883 / 1082 ] simplifiying candidate # 9.048 * * * * [progress]: [ 884 / 1082 ] simplifiying candidate # 9.048 * * * * [progress]: [ 885 / 1082 ] simplifiying candidate # 9.048 * * * * [progress]: [ 886 / 1082 ] simplifiying candidate # 9.048 * * * * [progress]: [ 887 / 1082 ] simplifiying candidate # 9.048 * * * * 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[progress]: [ 1081 / 1082 ] simplifiying candidate # 9.064 * * * * [progress]: [ 1082 / 1082 ] simplifiying candidate # 9.092 * [simplify]: Simplifying: (- 1) (- (- (log b) (- (- (log PI) (log (+ a b))) (log 2)))) (- (- (log b) (- (log (/ PI (+ a b))) (log 2)))) (- (- (log b) (log (/ (/ PI (+ a b)) 2)))) (- (log (/ b (/ (/ PI (+ a b)) 2)))) (- 0 (- (log b) (- (- (log PI) (log (+ a b))) (log 2)))) (- 0 (- (log b) (- (log (/ PI (+ a b))) (log 2)))) (- 0 (- (log b) (log (/ (/ PI (+ a b)) 2)))) (- 0 (log (/ b (/ (/ PI (+ a b)) 2)))) (- (log 1) (- (log b) (- (- (log PI) (log (+ a b))) (log 2)))) (- (log 1) (- (log b) (- (log (/ PI (+ a b))) (log 2)))) (- (log 1) (- (log b) (log (/ (/ PI (+ a b)) 2)))) (- (log 1) (log (/ b (/ (/ PI (+ a b)) 2)))) (log (/ 1 (/ b (/ (/ PI (+ a b)) 2)))) (exp (/ 1 (/ b (/ (/ PI (+ a b)) 2)))) (/ (* (* 1 1) 1) (/ (* (* b b) b) (/ (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (* 2 2) 2)))) (/ (* (* 1 1) 1) (/ (* (* b b) b) (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* 2 2) 2)))) (/ (* (* 1 1) 1) (/ (* (* b b) b) (* (* (/ (/ PI (+ a b)) 2) (/ (/ PI (+ a b)) 2)) (/ (/ PI (+ a b)) 2)))) (/ (* (* 1 1) 1) (* (* (/ b (/ (/ PI (+ a b)) 2)) (/ b (/ (/ PI (+ a b)) 2))) (/ b (/ (/ PI (+ a b)) 2)))) (* (cbrt (/ 1 (/ b (/ (/ PI (+ a b)) 2)))) (cbrt (/ 1 (/ b (/ (/ PI (+ a b)) 2))))) (cbrt (/ 1 (/ b (/ (/ PI (+ a b)) 2)))) (* (* (/ 1 (/ b (/ (/ PI (+ a b)) 2))) (/ 1 (/ b (/ (/ PI (+ a b)) 2)))) (/ 1 (/ b (/ (/ PI (+ a b)) 2)))) (sqrt (/ 1 (/ b (/ (/ PI (+ a b)) 2)))) (sqrt (/ 1 (/ b (/ (/ PI (+ a b)) 2)))) (- 1) (- (/ b (/ (/ PI (+ a b)) 2))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ b (/ (/ PI (+ a b)) 2))) (cbrt (/ b (/ (/ PI (+ a b)) 2))))) (/ (cbrt 1) (cbrt (/ b (/ (/ PI (+ a b)) 2)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ b (/ (/ PI (+ a b)) 2)))) (/ (cbrt 1) (sqrt (/ b (/ (/ PI (+ a b)) 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (* (cbrt (/ (/ PI (+ a b)) 2)) (cbrt (/ (/ PI (+ a b)) 2))))) (/ (cbrt 1) (/ (cbrt b) (cbrt (/ (/ PI (+ a b)) 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (sqrt (/ (/ PI (+ a b)) 2)))) (/ (cbrt 1) (/ (cbrt b) (sqrt (/ (/ PI (+ a b)) 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt 2) (cbrt 2))))) (/ (cbrt 1) (/ (cbrt b) (/ (cbrt (/ PI (+ a b))) (cbrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt 2)))) (/ (cbrt 1) (/ (cbrt b) (/ (cbrt (/ PI (+ a b))) (sqrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) 1))) (/ (cbrt 1) (/ (cbrt b) (/ (cbrt (/ PI (+ a b))) 2))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (sqrt (/ PI (+ a b))) (* (cbrt 2) (cbrt 2))))) (/ (cbrt 1) (/ (cbrt b) (/ (sqrt (/ PI (+ a b))) (cbrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (sqrt (/ PI (+ a b))) (sqrt 2)))) (/ (cbrt 1) (/ (cbrt b) (/ (sqrt (/ PI (+ a b))) (sqrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (sqrt (/ PI (+ a b))) 1))) (/ (cbrt 1) (/ (cbrt b) (/ (sqrt (/ PI (+ a b))) 2))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt 2) (cbrt 2))))) (/ (cbrt 1) (/ (cbrt b) (/ (/ (cbrt PI) (cbrt (+ a b))) (cbrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt 2)))) (/ (cbrt 1) (/ (cbrt b) (/ (/ (cbrt PI) (cbrt (+ a b))) (sqrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ a b)) (cbrt (+ a b)))) 1))) (/ (cbrt 1) (/ (cbrt b) (/ (/ (cbrt PI) (cbrt (+ a b))) 2))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) (* (cbrt 2) (cbrt 2))))) (/ (cbrt 1) (/ (cbrt b) (/ (/ (cbrt PI) (sqrt (+ a b))) (cbrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) (sqrt 2)))) (/ (cbrt 1) (/ (cbrt b) (/ (/ (cbrt PI) (sqrt (+ a b))) (sqrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) 1))) (/ (cbrt 1) (/ (cbrt b) (/ (/ (cbrt PI) (sqrt (+ a b))) 2))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (* (cbrt 2) (cbrt 2))))) (/ (cbrt 1) (/ (cbrt b) (/ (/ (cbrt PI) (+ a b)) (cbrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (sqrt 2)))) (/ (cbrt 1) (/ (cbrt b) (/ (/ (cbrt PI) (+ a b)) (sqrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) 1))) (/ (cbrt 1) (/ (cbrt b) (/ (/ (cbrt PI) (+ a b)) 2))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (* (cbrt 2) (cbrt 2))))) (/ (cbrt 1) (/ (cbrt b) (/ (/ (cbrt PI) (+ a b)) (cbrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (sqrt 2)))) (/ (cbrt 1) (/ (cbrt b) (/ (/ 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b))) 2)) (/ a (/ (- a b) (cbrt 2))) (/ a (/ (- a b) (sqrt 2))) (/ a (/ (- a b) 2)) (/ a (/ (/ PI (+ a b)) 2)) (/ a (/ 1 2)) (* a 2) (real->posit16 (/ (/ (/ PI (+ a b)) 2) a)) 0 0 0 0 0 0 0 0 0 0 0 0 9.143 * * [simplify]: iteration 0: 1708 enodes 11.782 * * [simplify]: iteration 1: 4871 enodes 14.326 * * [simplify]: iteration complete: 5004 enodes 14.327 * * [simplify]: Extracting #0: cost 599 inf + 0 14.336 * * [simplify]: Extracting #1: cost 2033 inf + 87 14.352 * * [simplify]: Extracting #2: cost 2130 inf + 13965 14.395 * * [simplify]: Extracting #3: cost 1204 inf + 166173 14.501 * * [simplify]: Extracting #4: cost 264 inf + 430949 14.630 * * [simplify]: Extracting #5: cost 34 inf + 514942 14.762 * * [simplify]: Extracting #6: cost 1 inf + 528030 14.878 * * [simplify]: Extracting #7: cost 0 inf + 528274 14.999 * [simplify]: Simplified to: -1 (- (log (/ b (/ (/ PI (+ b a)) 2)))) (- (log (/ b (/ (/ PI (+ b a)) 2)))) (- (log (/ b (/ (/ PI (+ b a)) 2)))) (- (log (/ b (/ (/ PI (+ b a)) 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a) 2)) (sqrt PI) (/ (/ (sqrt PI) (+ b a)) (* 2 a)) (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (* (cbrt a) (cbrt a)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ PI (cbrt (+ b a))) (cbrt 2)) (cbrt a)) (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (sqrt a) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ PI (cbrt (+ b a))) (cbrt 2)) (sqrt a)) (/ (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (cbrt 2)) (cbrt 2)) (/ (/ (/ PI (cbrt (+ b a))) (cbrt 2)) a) (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (* (cbrt a) (cbrt a)) (sqrt 2))) (/ (/ PI (cbrt (+ b a))) (* (cbrt a) (sqrt 2))) (/ (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt 2)) (sqrt a)) (/ (/ (/ PI (cbrt (+ b a))) (sqrt 2)) (sqrt a)) (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt 2)) (/ (/ PI (cbrt (+ b a))) (* a (sqrt 2))) (/ (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (cbrt a)) (cbrt a)) (/ (/ (/ PI (cbrt (+ b a))) 2) (cbrt a)) (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt a)) (/ (/ (/ PI (cbrt (+ b a))) 2) (sqrt a)) (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (/ PI (cbrt (+ b a))) 2) a) (/ (/ 1 (sqrt (+ b a))) (* (* (cbrt a) (cbrt a)) (* (cbrt 2) (cbrt 2)))) (/ (/ PI (sqrt (+ b a))) (* (cbrt a) (cbrt 2))) (/ (/ 1 (sqrt (+ b a))) (* (sqrt a) (* (cbrt 2) (cbrt 2)))) (/ (/ PI (sqrt (+ b a))) (* (sqrt a) (cbrt 2))) (/ (/ (/ 1 (sqrt (+ b a))) (cbrt 2)) (cbrt 2)) (/ (/ PI (sqrt (+ b a))) (* a (cbrt 2))) (/ (/ (/ 1 (* (sqrt 2) (sqrt (+ b a)))) (cbrt a)) (cbrt a)) (/ (/ PI (* (sqrt 2) (sqrt (+ b a)))) (cbrt a)) (/ (/ 1 (sqrt (+ b a))) (* (sqrt a) (sqrt 2))) (/ (/ PI (* (sqrt 2) (sqrt (+ b a)))) (sqrt a)) (/ 1 (* (sqrt 2) (sqrt (+ b a)))) (/ (/ PI (* (sqrt 2) (sqrt (+ b a)))) a) (/ (/ (/ 1 (sqrt (+ b a))) (cbrt a)) (cbrt a)) (/ (/ PI (sqrt (+ b a))) (* (cbrt a) 2)) (/ (/ 1 (sqrt (+ b a))) (sqrt a)) (/ (/ PI (sqrt (+ b a))) (* (sqrt a) 2)) (/ 1 (sqrt (+ b a))) (/ (/ PI (sqrt (+ b a))) (* 2 a)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (cbrt a)) (cbrt a)) (/ (/ PI (* (cbrt 2) (+ b a))) (cbrt a)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt a)) (/ (/ PI (* (cbrt 2) (+ b a))) (sqrt a)) (/ 1 (* (cbrt 2) (cbrt 2))) (/ (/ PI (+ b a)) (* a (cbrt 2))) (/ (/ 1 (sqrt 2)) (* (cbrt a) (cbrt a))) (/ (/ (/ PI (+ b a)) (sqrt 2)) (cbrt a)) (/ (/ 1 (sqrt 2)) (sqrt a)) (/ (/ PI (+ b a)) (* (sqrt a) (sqrt 2))) (/ 1 (sqrt 2)) (/ (/ (/ PI (+ b a)) (sqrt 2)) a) (/ (/ 1 (cbrt a)) (cbrt a)) (/ (/ (/ PI (+ b a)) 2) (cbrt a)) (/ 1 (sqrt a)) (/ (/ (/ PI (+ b a)) 2) (sqrt a)) 1 (/ (/ (/ PI (+ b a)) 2) a) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (cbrt a)) (cbrt a)) (/ (/ PI (* (cbrt 2) (+ b a))) (cbrt a)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt a)) (/ (/ PI (* (cbrt 2) (+ b a))) (sqrt a)) (/ 1 (* (cbrt 2) (cbrt 2))) (/ (/ PI (+ b a)) (* a (cbrt 2))) (/ (/ 1 (sqrt 2)) (* (cbrt a) (cbrt a))) (/ (/ (/ PI (+ b a)) (sqrt 2)) (cbrt a)) (/ (/ 1 (sqrt 2)) (sqrt a)) (/ (/ PI (+ b a)) (* (sqrt a) (sqrt 2))) (/ 1 (sqrt 2)) (/ (/ (/ PI (+ b a)) (sqrt 2)) a) (/ (/ 1 (cbrt a)) (cbrt a)) (/ (/ (/ PI (+ b a)) 2) (cbrt a)) (/ 1 (sqrt a)) (/ (/ (/ PI (+ b a)) 2) (sqrt a)) 1 (/ (/ (/ PI (+ b a)) 2) a) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (cbrt a)) (cbrt a)) (/ (/ PI (* (cbrt 2) (+ b a))) (cbrt a)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt a)) (/ (/ PI (* (cbrt 2) (+ b a))) (sqrt a)) (/ 1 (* (cbrt 2) (cbrt 2))) (/ (/ PI (+ b a)) (* a (cbrt 2))) (/ (/ 1 (sqrt 2)) (* (cbrt a) (cbrt a))) (/ (/ (/ PI (+ b a)) (sqrt 2)) (cbrt a)) (/ (/ 1 (sqrt 2)) (sqrt a)) (/ (/ PI (+ b a)) (* (sqrt a) (sqrt 2))) (/ 1 (sqrt 2)) (/ (/ (/ PI (+ b a)) (sqrt 2)) a) (/ (/ 1 (cbrt a)) (cbrt a)) (/ (/ (/ PI (+ b a)) 2) (cbrt a)) (/ 1 (sqrt a)) (/ (/ (/ PI (+ b a)) 2) (sqrt a)) 1 (/ (/ (/ PI (+ b a)) 2) a) (/ (/ (/ PI (* (cbrt 2) (cbrt 2))) (cbrt a)) (cbrt a)) (/ (/ 1 (* (cbrt 2) (+ b a))) (cbrt a)) (/ (/ PI (* (cbrt 2) (cbrt 2))) (sqrt a)) (/ (/ 1 (+ b a)) (* (sqrt a) (cbrt 2))) (/ PI (* (cbrt 2) (cbrt 2))) (/ (/ 1 (+ b a)) (* a (cbrt 2))) (/ (/ (/ PI (sqrt 2)) (cbrt a)) (cbrt a)) (/ (/ 1 (* (sqrt 2) (+ b a))) (cbrt a)) (/ PI (* (sqrt a) (sqrt 2))) (/ (/ 1 (* (sqrt 2) (+ b a))) (sqrt a)) (/ PI (sqrt 2)) (/ (/ 1 (* (sqrt 2) (+ b a))) a) (/ PI (* (cbrt a) (cbrt a))) (/ (/ 1 (* 2 (+ b a))) (cbrt a)) (/ PI (sqrt a)) (/ (/ 1 (* 2 (+ b a))) (sqrt a)) PI (/ (/ 1 (+ b a)) (* 2 a)) (/ (/ PI (+ (* a (* a a)) (* (* b b) b))) (* (* (cbrt a) (cbrt a)) (* (cbrt 2) (cbrt 2)))) (/ (+ (* b (- b a)) (* a a)) (* (cbrt a) (cbrt 2))) (/ (/ PI (+ (* a (* a a)) (* (* b b) b))) (* (sqrt a) (* (cbrt 2) (cbrt 2)))) (/ (+ (* b (- b a)) (* a a)) (* (sqrt a) (cbrt 2))) (/ (/ PI (+ (* a (* a a)) (* (* b b) b))) (* (cbrt 2) (cbrt 2))) (/ (+ (* b (- b a)) (* a a)) (* a (cbrt 2))) (/ (/ (/ (/ PI (+ (* a (* a a)) (* (* b b) b))) (sqrt 2)) (cbrt a)) (cbrt a)) (/ (/ (+ (* b (- b a)) (* a a)) (sqrt 2)) (cbrt a)) (/ (/ (/ PI (+ (* a (* a a)) (* (* b b) b))) (sqrt 2)) (sqrt a)) (/ (+ (* b (- b a)) (* a a)) (* (sqrt a) (sqrt 2))) (/ (/ PI (+ (* a (* a a)) (* (* b b) b))) (sqrt 2)) (/ (+ (* b (- b a)) (* a a)) (* a (sqrt 2))) (/ (/ PI (+ (* a (* a a)) (* (* b b) b))) (* (cbrt a) (cbrt a))) (/ (+ (* b (- b a)) (* a a)) (* (cbrt a) 2)) (/ (/ PI (+ (* a (* a a)) (* (* b b) b))) (sqrt a)) (/ (+ (* b (- b a)) (* a a)) (* (sqrt a) 2)) (/ PI (+ (* a (* a a)) (* (* b b) b))) (/ (/ (+ (* b (- b a)) (* a a)) 2) a) (/ (/ (/ PI (* (+ b a) (- a b))) (* (cbrt 2) (cbrt 2))) (* (cbrt a) (cbrt a))) (/ (/ (- a b) (cbrt 2)) (cbrt a)) (/ (/ PI (* (+ b a) (- a b))) (* (sqrt a) (* (cbrt 2) (cbrt 2)))) (/ (- a b) (* (sqrt a) (cbrt 2))) (/ (/ PI (* (+ b a) (- a b))) (* (cbrt 2) (cbrt 2))) (/ (/ (- a b) (cbrt 2)) a) (/ (/ (/ PI (* (+ b a) (- a b))) (sqrt 2)) (* (cbrt a) (cbrt a))) (/ (/ (- a b) (sqrt 2)) (cbrt a)) (/ (/ PI (* (+ b a) (- a b))) (* (sqrt a) (sqrt 2))) (/ (/ (- a b) (sqrt 2)) (sqrt a)) (/ (/ PI (* (+ b a) (- a b))) (sqrt 2)) (/ (/ (- a b) (sqrt 2)) a) (/ (/ PI (* (+ b a) (- a b))) (* (cbrt a) (cbrt a))) (/ (/ (- a b) 2) (cbrt a)) (/ (/ PI (* (+ b a) (- a b))) (sqrt a)) (/ (- a b) (* (sqrt a) 2)) (/ PI (* (+ b a) (- a b))) (/ (- a b) (* 2 a)) (/ (/ 1 (cbrt a)) (cbrt a)) (/ (/ (/ PI (+ b a)) 2) (cbrt a)) (/ 1 (sqrt a)) (/ (/ (/ PI (+ b a)) 2) (sqrt a)) 1 (/ (/ (/ PI (+ b a)) 2) a) (/ (/ (/ PI (+ b a)) (cbrt a)) (cbrt a)) (/ 1/2 (cbrt a)) (/ PI (* (sqrt a) (+ b a))) (/ 1/2 (sqrt a)) (/ PI (+ b a)) (/ 1/2 a) (/ 1 a) (/ a (/ (/ PI (+ b a)) 2)) (/ (/ (/ (/ PI (+ b a)) 2) (cbrt a)) (cbrt a)) (/ (/ (/ PI (+ b a)) 2) (sqrt a)) (/ (/ PI (+ b a)) 2) (/ a (cbrt (/ (/ PI (+ b a)) 2))) (/ a (sqrt (/ (/ PI (+ b a)) 2))) (* (/ a (cbrt (/ PI (+ b a)))) (cbrt 2)) (* (/ a (cbrt (/ PI (+ b a)))) (sqrt 2)) (* (/ a (cbrt (/ PI (+ b a)))) 2) (/ a (/ (sqrt (/ PI (+ b a))) (cbrt 2))) (/ a (/ (sqrt (/ PI (+ b a))) (sqrt 2))) (* (/ a (sqrt (/ PI (+ b a)))) 2) (/ a (/ (/ (cbrt PI) (cbrt (+ b a))) (cbrt 2))) (/ a (/ (cbrt PI) (* (sqrt 2) (cbrt (+ b a))))) (/ a (/ (/ (cbrt PI) (cbrt (+ b a))) 2)) (/ a (/ (/ (cbrt PI) (sqrt (+ b a))) (cbrt 2))) (* (/ a (/ (cbrt PI) (sqrt (+ b a)))) (sqrt 2)) (* (/ a (/ (cbrt PI) (sqrt (+ b a)))) 2) (* (/ a (/ (cbrt PI) (+ b a))) (cbrt 2)) (* (/ a (/ (cbrt PI) (+ b a))) (sqrt 2)) (/ a (/ (cbrt PI) (* 2 (+ b a)))) (* (/ a (/ (cbrt PI) (+ b a))) (cbrt 2)) (* (/ a (/ (cbrt PI) (+ b a))) (sqrt 2)) (/ a (/ (cbrt PI) (* 2 (+ b a)))) (* (/ a (/ (sqrt PI) (cbrt (+ b a)))) (cbrt 2)) (/ a (/ (/ (sqrt PI) (cbrt (+ b a))) (sqrt 2))) (* (/ a (/ (sqrt PI) (cbrt (+ b a)))) 2) (/ a (/ (/ (sqrt PI) (sqrt (+ b a))) (cbrt 2))) (/ a (/ (/ (sqrt PI) (sqrt (+ b a))) (sqrt 2))) (* (/ a (/ (sqrt PI) (sqrt (+ b a)))) 2) (/ a (/ (sqrt PI) (* (cbrt 2) (+ b a)))) (/ a (/ (/ (sqrt PI) (+ b a)) (sqrt 2))) (/ a (/ (sqrt PI) (* 2 (+ b a)))) (/ a (/ (sqrt PI) (* (cbrt 2) (+ b a)))) (/ a (/ (/ (sqrt PI) (+ b a)) (sqrt 2))) (/ a (/ (sqrt PI) (* 2 (+ b a)))) (/ a (/ (/ PI (cbrt (+ b a))) (cbrt 2))) (* (/ a (/ PI (cbrt (+ b a)))) (sqrt 2)) (/ a (/ (/ PI (cbrt (+ b a))) 2)) (* (/ a (/ PI (sqrt (+ b a)))) (cbrt 2)) (/ a (/ PI (* (sqrt 2) (sqrt (+ b a))))) (* (/ a (/ PI (sqrt (+ b a)))) 2) (* (/ a (/ PI (+ b a))) (cbrt 2)) (* (/ a (/ PI (+ b a))) (sqrt 2)) (/ a (/ (/ PI (+ b a)) 2)) (* (/ a (/ PI (+ b a))) (cbrt 2)) (* (/ a (/ PI (+ b a))) (sqrt 2)) (/ a (/ (/ PI (+ b a)) 2)) (* (/ a (/ PI (+ b a))) (cbrt 2)) (* (/ a (/ PI (+ b a))) (sqrt 2)) (/ a (/ (/ PI (+ b a)) 2)) (/ a (/ 1 (* (cbrt 2) (+ b a)))) (/ a (/ 1 (* (sqrt 2) (+ b a)))) (/ a (/ 1 (* 2 (+ b a)))) (* (/ a (+ (* b (- b a)) (* a a))) (cbrt 2)) (/ a (/ (+ (* b (- b a)) (* a a)) (sqrt 2))) (* (/ a (+ (* b (- b a)) (* a a))) 2) (/ a (/ (- a b) (cbrt 2))) (* (/ a (- a b)) (sqrt 2)) (* (/ a (- a b)) 2) (/ a (/ (/ PI (+ b a)) 2)) (/ a 1/2) (* 2 a) (real->posit16 (/ (/ (/ PI (+ b a)) 2) a)) 0 0 0 0 0 0 0 0 0 0 0 0 15.315 * * * [progress]: adding candidates to table 21.702 * * [progress]: iteration 3 / 4 21.703 * * * [progress]: picking best candidate 21.737 * * * * [pick]: Picked # 21.737 * * * [progress]: localizing error 21.789 * * * [progress]: generating rewritten candidates 21.789 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 21.826 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 1) 21.841 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 21.852 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 21.890 * * * [progress]: generating series expansions 21.891 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 21.891 * [backup-simplify]: Simplify (* (/ (/ PI (+ a b)) 2) (/ 1 a)) into (* 1/2 (/ PI (* a (+ a b)))) 21.891 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in (a b) around 0 21.891 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in b 21.891 * [taylor]: Taking taylor expansion of 1/2 in b 21.891 * [backup-simplify]: Simplify 1/2 into 1/2 21.891 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in b 21.891 * [taylor]: Taking taylor expansion of PI in b 21.891 * [backup-simplify]: Simplify PI into PI 21.891 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 21.891 * [taylor]: Taking taylor expansion of a in b 21.891 * [backup-simplify]: Simplify a into a 21.891 * [taylor]: Taking taylor expansion of (+ a b) in b 21.891 * [taylor]: Taking taylor expansion of a in b 21.891 * [backup-simplify]: Simplify a into a 21.891 * [taylor]: Taking taylor expansion of b in b 21.891 * [backup-simplify]: Simplify 0 into 0 21.891 * [backup-simplify]: Simplify 1 into 1 21.891 * [backup-simplify]: Simplify (+ a 0) into a 21.891 * [backup-simplify]: Simplify (* a a) into (pow a 2) 21.892 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 21.892 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 21.892 * [taylor]: Taking taylor expansion of 1/2 in a 21.892 * [backup-simplify]: Simplify 1/2 into 1/2 21.892 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 21.892 * [taylor]: Taking taylor expansion of PI in a 21.892 * [backup-simplify]: Simplify PI into PI 21.892 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 21.892 * [taylor]: Taking taylor expansion of a in a 21.892 * [backup-simplify]: Simplify 0 into 0 21.892 * [backup-simplify]: Simplify 1 into 1 21.892 * [taylor]: Taking taylor expansion of (+ a b) in a 21.892 * [taylor]: Taking taylor expansion of a in a 21.892 * [backup-simplify]: Simplify 0 into 0 21.892 * [backup-simplify]: Simplify 1 into 1 21.892 * [taylor]: Taking taylor expansion of b in a 21.892 * [backup-simplify]: Simplify b into b 21.892 * [backup-simplify]: Simplify (+ 0 b) into b 21.892 * [backup-simplify]: Simplify (* 0 b) into 0 21.893 * [backup-simplify]: Simplify (+ 1 0) into 1 21.894 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 21.894 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 21.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 21.894 * [taylor]: Taking taylor expansion of 1/2 in a 21.894 * [backup-simplify]: Simplify 1/2 into 1/2 21.894 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 21.894 * [taylor]: Taking taylor expansion of PI in a 21.894 * [backup-simplify]: Simplify PI into PI 21.894 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 21.894 * [taylor]: Taking taylor expansion of a in a 21.894 * [backup-simplify]: Simplify 0 into 0 21.894 * [backup-simplify]: Simplify 1 into 1 21.894 * [taylor]: Taking taylor expansion of (+ a b) in a 21.894 * [taylor]: Taking taylor expansion of a in a 21.894 * [backup-simplify]: Simplify 0 into 0 21.894 * [backup-simplify]: Simplify 1 into 1 21.894 * [taylor]: Taking taylor expansion of b in a 21.894 * [backup-simplify]: Simplify b into b 21.894 * [backup-simplify]: Simplify (+ 0 b) into b 21.894 * [backup-simplify]: Simplify (* 0 b) into 0 21.895 * [backup-simplify]: Simplify (+ 1 0) into 1 21.895 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 21.895 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 21.895 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 21.895 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 21.896 * [taylor]: Taking taylor expansion of 1/2 in b 21.896 * [backup-simplify]: Simplify 1/2 into 1/2 21.896 * [taylor]: Taking taylor expansion of (/ PI b) in b 21.896 * [taylor]: Taking taylor expansion of PI in b 21.896 * [backup-simplify]: Simplify PI into PI 21.896 * [taylor]: Taking taylor expansion of b in b 21.896 * [backup-simplify]: Simplify 0 into 0 21.896 * [backup-simplify]: Simplify 1 into 1 21.896 * [backup-simplify]: Simplify (/ PI 1) into PI 21.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.898 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 21.898 * [backup-simplify]: Simplify 0 into 0 21.899 * [backup-simplify]: Simplify (+ 0 0) into 0 21.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 b))) into 1 21.900 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 21.900 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 21.900 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 21.900 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 21.900 * [taylor]: Taking taylor expansion of 1/2 in b 21.900 * [backup-simplify]: Simplify 1/2 into 1/2 21.900 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 21.900 * [taylor]: Taking taylor expansion of PI in b 21.900 * [backup-simplify]: Simplify PI into PI 21.900 * [taylor]: Taking taylor expansion of (pow b 2) in b 21.900 * [taylor]: Taking taylor expansion of b in b 21.900 * [backup-simplify]: Simplify 0 into 0 21.900 * [backup-simplify]: Simplify 1 into 1 21.900 * [backup-simplify]: Simplify (* 1 1) into 1 21.901 * [backup-simplify]: Simplify (/ PI 1) into PI 21.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.903 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 21.904 * [backup-simplify]: Simplify (- 0) into 0 21.904 * [backup-simplify]: Simplify 0 into 0 21.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 21.905 * [backup-simplify]: Simplify 0 into 0 21.905 * [backup-simplify]: Simplify (+ 0 0) into 0 21.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 b)))) into 0 21.906 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 21.906 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 21.906 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 21.906 * [taylor]: Taking taylor expansion of 1/2 in b 21.906 * [backup-simplify]: Simplify 1/2 into 1/2 21.906 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 21.906 * [taylor]: Taking taylor expansion of PI in b 21.906 * [backup-simplify]: Simplify PI into PI 21.906 * [taylor]: Taking taylor expansion of (pow b 3) in b 21.906 * [taylor]: Taking taylor expansion of b in b 21.906 * [backup-simplify]: Simplify 0 into 0 21.906 * [backup-simplify]: Simplify 1 into 1 21.907 * [backup-simplify]: Simplify (* 1 1) into 1 21.907 * [backup-simplify]: Simplify (* 1 1) into 1 21.907 * [backup-simplify]: Simplify (/ PI 1) into PI 21.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.913 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.913 * [backup-simplify]: Simplify 0 into 0 21.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.915 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.915 * [backup-simplify]: Simplify (- 0) into 0 21.915 * [backup-simplify]: Simplify 0 into 0 21.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.917 * [backup-simplify]: Simplify 0 into 0 21.917 * [backup-simplify]: Simplify 0 into 0 21.917 * [backup-simplify]: Simplify (* (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2) (/ 1 (/ 1 a))) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 21.917 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 21.917 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 21.917 * [taylor]: Taking taylor expansion of 1/2 in b 21.917 * [backup-simplify]: Simplify 1/2 into 1/2 21.917 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 21.917 * [taylor]: Taking taylor expansion of (* a PI) in b 21.917 * [taylor]: Taking taylor expansion of a in b 21.917 * [backup-simplify]: Simplify a into a 21.917 * [taylor]: Taking taylor expansion of PI in b 21.917 * [backup-simplify]: Simplify PI into PI 21.917 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 21.917 * [taylor]: Taking taylor expansion of (/ 1 a) in b 21.917 * [taylor]: Taking taylor expansion of a in b 21.917 * [backup-simplify]: Simplify a into a 21.917 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 21.917 * [taylor]: Taking taylor expansion of (/ 1 b) in b 21.917 * [taylor]: Taking taylor expansion of b in b 21.917 * [backup-simplify]: Simplify 0 into 0 21.917 * [backup-simplify]: Simplify 1 into 1 21.917 * [backup-simplify]: Simplify (/ 1 1) into 1 21.918 * [backup-simplify]: Simplify (* a PI) into (* a PI) 21.918 * [backup-simplify]: Simplify (+ 0 1) into 1 21.918 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 21.918 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 21.918 * [taylor]: Taking taylor expansion of 1/2 in a 21.918 * [backup-simplify]: Simplify 1/2 into 1/2 21.918 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 21.918 * [taylor]: Taking taylor expansion of (* a PI) in a 21.918 * [taylor]: Taking taylor expansion of a in a 21.918 * [backup-simplify]: Simplify 0 into 0 21.918 * [backup-simplify]: Simplify 1 into 1 21.918 * [taylor]: Taking taylor expansion of PI in a 21.918 * [backup-simplify]: Simplify PI into PI 21.918 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.918 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.918 * [taylor]: Taking taylor expansion of a in a 21.918 * [backup-simplify]: Simplify 0 into 0 21.918 * [backup-simplify]: Simplify 1 into 1 21.918 * [backup-simplify]: Simplify (/ 1 1) into 1 21.918 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.918 * [taylor]: Taking taylor expansion of b in a 21.918 * [backup-simplify]: Simplify b into b 21.918 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.919 * [backup-simplify]: Simplify (* 0 PI) into 0 21.920 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 21.920 * [backup-simplify]: Simplify (+ 1 0) into 1 21.920 * [backup-simplify]: Simplify (/ PI 1) into PI 21.920 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 21.920 * [taylor]: Taking taylor expansion of 1/2 in a 21.920 * [backup-simplify]: Simplify 1/2 into 1/2 21.920 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 21.920 * [taylor]: Taking taylor expansion of (* a PI) in a 21.920 * [taylor]: Taking taylor expansion of a in a 21.921 * [backup-simplify]: Simplify 0 into 0 21.921 * [backup-simplify]: Simplify 1 into 1 21.921 * [taylor]: Taking taylor expansion of PI in a 21.921 * [backup-simplify]: Simplify PI into PI 21.921 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.921 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.921 * [taylor]: Taking taylor expansion of a in a 21.921 * [backup-simplify]: Simplify 0 into 0 21.921 * [backup-simplify]: Simplify 1 into 1 21.921 * [backup-simplify]: Simplify (/ 1 1) into 1 21.921 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.921 * [taylor]: Taking taylor expansion of b in a 21.921 * [backup-simplify]: Simplify b into b 21.921 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.921 * [backup-simplify]: Simplify (* 0 PI) into 0 21.922 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 21.923 * [backup-simplify]: Simplify (+ 1 0) into 1 21.923 * [backup-simplify]: Simplify (/ PI 1) into PI 21.923 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 21.923 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 21.923 * [taylor]: Taking taylor expansion of 1/2 in b 21.923 * [backup-simplify]: Simplify 1/2 into 1/2 21.923 * [taylor]: Taking taylor expansion of PI in b 21.923 * [backup-simplify]: Simplify PI into PI 21.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 21.924 * [backup-simplify]: Simplify 0 into 0 21.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 21.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.925 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 21.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 21.926 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 21.926 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 21.926 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 21.926 * [taylor]: Taking taylor expansion of 1/2 in b 21.926 * [backup-simplify]: Simplify 1/2 into 1/2 21.926 * [taylor]: Taking taylor expansion of (/ PI b) in b 21.926 * [taylor]: Taking taylor expansion of PI in b 21.926 * [backup-simplify]: Simplify PI into PI 21.926 * [taylor]: Taking taylor expansion of b in b 21.926 * [backup-simplify]: Simplify 0 into 0 21.926 * [backup-simplify]: Simplify 1 into 1 21.926 * [backup-simplify]: Simplify (/ PI 1) into PI 21.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 21.928 * [backup-simplify]: Simplify (- 0) into 0 21.928 * [backup-simplify]: Simplify 0 into 0 21.929 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 21.929 * [backup-simplify]: Simplify 0 into 0 21.930 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 21.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 21.931 * [backup-simplify]: Simplify (+ 0 0) into 0 21.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 21.932 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 21.932 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 21.932 * [taylor]: Taking taylor expansion of 1/2 in b 21.932 * [backup-simplify]: Simplify 1/2 into 1/2 21.932 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 21.932 * [taylor]: Taking taylor expansion of PI in b 21.932 * [backup-simplify]: Simplify PI into PI 21.932 * [taylor]: Taking taylor expansion of (pow b 2) in b 21.932 * [taylor]: Taking taylor expansion of b in b 21.932 * [backup-simplify]: Simplify 0 into 0 21.932 * [backup-simplify]: Simplify 1 into 1 21.932 * [backup-simplify]: Simplify (* 1 1) into 1 21.933 * [backup-simplify]: Simplify (/ PI 1) into PI 21.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.937 * [backup-simplify]: Simplify 0 into 0 21.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.938 * [backup-simplify]: Simplify (- 0) into 0 21.938 * [backup-simplify]: Simplify 0 into 0 21.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.939 * [backup-simplify]: Simplify 0 into 0 21.939 * [backup-simplify]: Simplify 0 into 0 21.939 * [backup-simplify]: Simplify (* (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ 1 (/ 1 (- a)))) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 21.939 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 21.939 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 21.939 * [taylor]: Taking taylor expansion of 1/2 in b 21.939 * [backup-simplify]: Simplify 1/2 into 1/2 21.939 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 21.939 * [taylor]: Taking taylor expansion of (* a PI) in b 21.939 * [taylor]: Taking taylor expansion of a in b 21.939 * [backup-simplify]: Simplify a into a 21.939 * [taylor]: Taking taylor expansion of PI in b 21.939 * [backup-simplify]: Simplify PI into PI 21.939 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 21.940 * [taylor]: Taking taylor expansion of (/ 1 a) in b 21.940 * [taylor]: Taking taylor expansion of a in b 21.940 * [backup-simplify]: Simplify a into a 21.940 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 21.940 * [taylor]: Taking taylor expansion of (/ 1 b) in b 21.940 * [taylor]: Taking taylor expansion of b in b 21.940 * [backup-simplify]: Simplify 0 into 0 21.940 * [backup-simplify]: Simplify 1 into 1 21.940 * [backup-simplify]: Simplify (/ 1 1) into 1 21.940 * [backup-simplify]: Simplify (* a PI) into (* a PI) 21.940 * [backup-simplify]: Simplify (+ 0 1) into 1 21.940 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 21.940 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 21.940 * [taylor]: Taking taylor expansion of 1/2 in a 21.940 * [backup-simplify]: Simplify 1/2 into 1/2 21.940 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 21.940 * [taylor]: Taking taylor expansion of (* a PI) in a 21.940 * [taylor]: Taking taylor expansion of a in a 21.940 * [backup-simplify]: Simplify 0 into 0 21.940 * [backup-simplify]: Simplify 1 into 1 21.940 * [taylor]: Taking taylor expansion of PI in a 21.940 * [backup-simplify]: Simplify PI into PI 21.940 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.940 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.940 * [taylor]: Taking taylor expansion of a in a 21.941 * [backup-simplify]: Simplify 0 into 0 21.941 * [backup-simplify]: Simplify 1 into 1 21.941 * [backup-simplify]: Simplify (/ 1 1) into 1 21.941 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.941 * [taylor]: Taking taylor expansion of b in a 21.941 * [backup-simplify]: Simplify b into b 21.941 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.941 * [backup-simplify]: Simplify (* 0 PI) into 0 21.942 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 21.942 * [backup-simplify]: Simplify (+ 1 0) into 1 21.943 * [backup-simplify]: Simplify (/ PI 1) into PI 21.943 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 21.943 * [taylor]: Taking taylor expansion of 1/2 in a 21.943 * [backup-simplify]: Simplify 1/2 into 1/2 21.943 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 21.943 * [taylor]: Taking taylor expansion of (* a PI) in a 21.943 * [taylor]: Taking taylor expansion of a in a 21.943 * [backup-simplify]: Simplify 0 into 0 21.943 * [backup-simplify]: Simplify 1 into 1 21.943 * [taylor]: Taking taylor expansion of PI in a 21.943 * [backup-simplify]: Simplify PI into PI 21.943 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.943 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.943 * [taylor]: Taking taylor expansion of a in a 21.943 * [backup-simplify]: Simplify 0 into 0 21.943 * [backup-simplify]: Simplify 1 into 1 21.943 * [backup-simplify]: Simplify (/ 1 1) into 1 21.943 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.943 * [taylor]: Taking taylor expansion of b in a 21.943 * [backup-simplify]: Simplify b into b 21.943 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.944 * [backup-simplify]: Simplify (* 0 PI) into 0 21.945 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 21.945 * [backup-simplify]: Simplify (+ 1 0) into 1 21.945 * [backup-simplify]: Simplify (/ PI 1) into PI 21.946 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 21.946 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 21.946 * [taylor]: Taking taylor expansion of 1/2 in b 21.946 * [backup-simplify]: Simplify 1/2 into 1/2 21.946 * [taylor]: Taking taylor expansion of PI in b 21.946 * [backup-simplify]: Simplify PI into PI 21.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 21.946 * [backup-simplify]: Simplify 0 into 0 21.947 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 21.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.948 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 21.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 21.949 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 21.949 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 21.949 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 21.949 * [taylor]: Taking taylor expansion of 1/2 in b 21.949 * [backup-simplify]: Simplify 1/2 into 1/2 21.949 * [taylor]: Taking taylor expansion of (/ PI b) in b 21.949 * [taylor]: Taking taylor expansion of PI in b 21.949 * [backup-simplify]: Simplify PI into PI 21.949 * [taylor]: Taking taylor expansion of b in b 21.949 * [backup-simplify]: Simplify 0 into 0 21.949 * [backup-simplify]: Simplify 1 into 1 21.949 * [backup-simplify]: Simplify (/ PI 1) into PI 21.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 21.951 * [backup-simplify]: Simplify (- 0) into 0 21.951 * [backup-simplify]: Simplify 0 into 0 21.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 21.952 * [backup-simplify]: Simplify 0 into 0 21.954 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 21.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 21.955 * [backup-simplify]: Simplify (+ 0 0) into 0 21.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 21.957 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 21.957 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 21.957 * [taylor]: Taking taylor expansion of 1/2 in b 21.957 * [backup-simplify]: Simplify 1/2 into 1/2 21.957 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 21.957 * [taylor]: Taking taylor expansion of PI in b 21.957 * [backup-simplify]: Simplify PI into PI 21.957 * [taylor]: Taking taylor expansion of (pow b 2) in b 21.958 * [taylor]: Taking taylor expansion of b in b 21.958 * [backup-simplify]: Simplify 0 into 0 21.958 * [backup-simplify]: Simplify 1 into 1 21.958 * [backup-simplify]: Simplify (* 1 1) into 1 21.958 * [backup-simplify]: Simplify (/ PI 1) into PI 21.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.965 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.965 * [backup-simplify]: Simplify 0 into 0 21.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.968 * [backup-simplify]: Simplify (- 0) into 0 21.968 * [backup-simplify]: Simplify 0 into 0 21.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.969 * [backup-simplify]: Simplify 0 into 0 21.969 * [backup-simplify]: Simplify 0 into 0 21.969 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 1) 21.969 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 21.969 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 21.969 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 21.969 * [taylor]: Taking taylor expansion of PI in b 21.969 * [backup-simplify]: Simplify PI into PI 21.969 * [taylor]: Taking taylor expansion of (+ a b) in b 21.970 * [taylor]: Taking taylor expansion of a in b 21.970 * [backup-simplify]: Simplify a into a 21.970 * [taylor]: Taking taylor expansion of b in b 21.970 * [backup-simplify]: Simplify 0 into 0 21.970 * [backup-simplify]: Simplify 1 into 1 21.970 * [backup-simplify]: Simplify (+ a 0) into a 21.970 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 21.970 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 21.970 * [taylor]: Taking taylor expansion of PI in a 21.970 * [backup-simplify]: Simplify PI into PI 21.970 * [taylor]: Taking taylor expansion of (+ a b) in a 21.970 * [taylor]: Taking taylor expansion of a in a 21.970 * [backup-simplify]: Simplify 0 into 0 21.970 * [backup-simplify]: Simplify 1 into 1 21.970 * [taylor]: Taking taylor expansion of b in a 21.970 * [backup-simplify]: Simplify b into b 21.970 * [backup-simplify]: Simplify (+ 0 b) into b 21.970 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 21.970 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 21.970 * [taylor]: Taking taylor expansion of PI in a 21.970 * [backup-simplify]: Simplify PI into PI 21.970 * [taylor]: Taking taylor expansion of (+ a b) in a 21.970 * [taylor]: Taking taylor expansion of a in a 21.970 * [backup-simplify]: Simplify 0 into 0 21.970 * [backup-simplify]: Simplify 1 into 1 21.970 * [taylor]: Taking taylor expansion of b in a 21.970 * [backup-simplify]: Simplify b into b 21.970 * [backup-simplify]: Simplify (+ 0 b) into b 21.970 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 21.970 * [taylor]: Taking taylor expansion of (/ PI b) in b 21.970 * [taylor]: Taking taylor expansion of PI in b 21.970 * [backup-simplify]: Simplify PI into PI 21.970 * [taylor]: Taking taylor expansion of b in b 21.970 * [backup-simplify]: Simplify 0 into 0 21.970 * [backup-simplify]: Simplify 1 into 1 21.971 * [backup-simplify]: Simplify (/ PI 1) into PI 21.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.972 * [backup-simplify]: Simplify 0 into 0 21.972 * [backup-simplify]: Simplify (+ 1 0) into 1 21.973 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 21.973 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 21.973 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 21.973 * [taylor]: Taking taylor expansion of PI in b 21.973 * [backup-simplify]: Simplify PI into PI 21.973 * [taylor]: Taking taylor expansion of (pow b 2) in b 21.973 * [taylor]: Taking taylor expansion of b in b 21.973 * [backup-simplify]: Simplify 0 into 0 21.973 * [backup-simplify]: Simplify 1 into 1 21.973 * [backup-simplify]: Simplify (* 1 1) into 1 21.974 * [backup-simplify]: Simplify (/ PI 1) into PI 21.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.977 * [backup-simplify]: Simplify (- 0) into 0 21.977 * [backup-simplify]: Simplify 0 into 0 21.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.978 * [backup-simplify]: Simplify 0 into 0 21.979 * [backup-simplify]: Simplify (+ 0 0) into 0 21.979 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 21.979 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 21.979 * [taylor]: Taking taylor expansion of PI in b 21.979 * [backup-simplify]: Simplify PI into PI 21.979 * [taylor]: Taking taylor expansion of (pow b 3) in b 21.979 * [taylor]: Taking taylor expansion of b in b 21.979 * [backup-simplify]: Simplify 0 into 0 21.979 * [backup-simplify]: Simplify 1 into 1 21.980 * [backup-simplify]: Simplify (* 1 1) into 1 21.980 * [backup-simplify]: Simplify (* 1 1) into 1 21.980 * [backup-simplify]: Simplify (/ PI 1) into PI 21.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.989 * [backup-simplify]: Simplify 0 into 0 21.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.991 * [backup-simplify]: Simplify (- 0) into 0 21.991 * [backup-simplify]: Simplify 0 into 0 22.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.001 * [backup-simplify]: Simplify 0 into 0 22.001 * [backup-simplify]: Simplify 0 into 0 22.001 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 22.001 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 22.001 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 22.001 * [taylor]: Taking taylor expansion of PI in b 22.001 * [backup-simplify]: Simplify PI into PI 22.001 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 22.001 * [taylor]: Taking taylor expansion of (/ 1 a) in b 22.001 * [taylor]: Taking taylor expansion of a in b 22.001 * [backup-simplify]: Simplify a into a 22.001 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 22.001 * [taylor]: Taking taylor expansion of (/ 1 b) in b 22.001 * [taylor]: Taking taylor expansion of b in b 22.001 * [backup-simplify]: Simplify 0 into 0 22.001 * [backup-simplify]: Simplify 1 into 1 22.002 * [backup-simplify]: Simplify (/ 1 1) into 1 22.002 * [backup-simplify]: Simplify (+ 0 1) into 1 22.003 * [backup-simplify]: Simplify (/ PI 1) into PI 22.003 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 22.003 * [taylor]: Taking taylor expansion of PI in a 22.003 * [backup-simplify]: Simplify PI into PI 22.003 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.003 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.003 * [taylor]: Taking taylor expansion of a in a 22.003 * [backup-simplify]: Simplify 0 into 0 22.004 * [backup-simplify]: Simplify 1 into 1 22.004 * [backup-simplify]: Simplify (/ 1 1) into 1 22.004 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.004 * [taylor]: Taking taylor expansion of b in a 22.004 * [backup-simplify]: Simplify b into b 22.004 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.005 * [backup-simplify]: Simplify (+ 1 0) into 1 22.005 * [backup-simplify]: Simplify (/ PI 1) into PI 22.005 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 22.005 * [taylor]: Taking taylor expansion of PI in a 22.005 * [backup-simplify]: Simplify PI into PI 22.005 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.005 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.005 * [taylor]: Taking taylor expansion of a in a 22.005 * [backup-simplify]: Simplify 0 into 0 22.005 * [backup-simplify]: Simplify 1 into 1 22.006 * [backup-simplify]: Simplify (/ 1 1) into 1 22.006 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.006 * [taylor]: Taking taylor expansion of b in a 22.006 * [backup-simplify]: Simplify b into b 22.006 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.006 * [backup-simplify]: Simplify (+ 1 0) into 1 22.007 * [backup-simplify]: Simplify (/ PI 1) into PI 22.007 * [taylor]: Taking taylor expansion of PI in b 22.007 * [backup-simplify]: Simplify PI into PI 22.007 * [backup-simplify]: Simplify 0 into 0 22.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.008 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 22.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 22.009 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 22.009 * [taylor]: Taking taylor expansion of (/ PI b) in b 22.009 * [taylor]: Taking taylor expansion of PI in b 22.009 * [backup-simplify]: Simplify PI into PI 22.009 * [taylor]: Taking taylor expansion of b in b 22.009 * [backup-simplify]: Simplify 0 into 0 22.009 * [backup-simplify]: Simplify 1 into 1 22.009 * [backup-simplify]: Simplify (/ PI 1) into PI 22.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.012 * [backup-simplify]: Simplify (- 0) into 0 22.012 * [backup-simplify]: Simplify 0 into 0 22.012 * [backup-simplify]: Simplify 0 into 0 22.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 22.014 * [backup-simplify]: Simplify (+ 0 0) into 0 22.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 22.015 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 22.015 * [taylor]: Taking taylor expansion of PI in b 22.015 * [backup-simplify]: Simplify PI into PI 22.015 * [taylor]: Taking taylor expansion of (pow b 2) in b 22.015 * [taylor]: Taking taylor expansion of b in b 22.015 * [backup-simplify]: Simplify 0 into 0 22.015 * [backup-simplify]: Simplify 1 into 1 22.016 * [backup-simplify]: Simplify (* 1 1) into 1 22.016 * [backup-simplify]: Simplify (/ PI 1) into PI 22.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.023 * [backup-simplify]: Simplify 0 into 0 22.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.024 * [backup-simplify]: Simplify (- 0) into 0 22.024 * [backup-simplify]: Simplify 0 into 0 22.024 * [backup-simplify]: Simplify 0 into 0 22.024 * [backup-simplify]: Simplify 0 into 0 22.024 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 22.024 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 22.024 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 22.024 * [taylor]: Taking taylor expansion of -1 in b 22.025 * [backup-simplify]: Simplify -1 into -1 22.025 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 22.025 * [taylor]: Taking taylor expansion of PI in b 22.025 * [backup-simplify]: Simplify PI into PI 22.025 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 22.025 * [taylor]: Taking taylor expansion of (/ 1 a) in b 22.025 * [taylor]: Taking taylor expansion of a in b 22.025 * [backup-simplify]: Simplify a into a 22.025 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 22.025 * [taylor]: Taking taylor expansion of (/ 1 b) in b 22.025 * [taylor]: Taking taylor expansion of b in b 22.025 * [backup-simplify]: Simplify 0 into 0 22.025 * [backup-simplify]: Simplify 1 into 1 22.025 * [backup-simplify]: Simplify (/ 1 1) into 1 22.026 * [backup-simplify]: Simplify (+ 0 1) into 1 22.026 * [backup-simplify]: Simplify (/ PI 1) into PI 22.026 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 22.026 * [taylor]: Taking taylor expansion of -1 in a 22.026 * [backup-simplify]: Simplify -1 into -1 22.026 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 22.026 * [taylor]: Taking taylor expansion of PI in a 22.026 * [backup-simplify]: Simplify PI into PI 22.026 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.026 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.026 * [taylor]: Taking taylor expansion of a in a 22.026 * [backup-simplify]: Simplify 0 into 0 22.026 * [backup-simplify]: Simplify 1 into 1 22.027 * [backup-simplify]: Simplify (/ 1 1) into 1 22.027 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.027 * [taylor]: Taking taylor expansion of b in a 22.027 * [backup-simplify]: Simplify b into b 22.027 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.027 * [backup-simplify]: Simplify (+ 1 0) into 1 22.028 * [backup-simplify]: Simplify (/ PI 1) into PI 22.028 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 22.028 * [taylor]: Taking taylor expansion of -1 in a 22.028 * [backup-simplify]: Simplify -1 into -1 22.028 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 22.028 * [taylor]: Taking taylor expansion of PI in a 22.028 * [backup-simplify]: Simplify PI into PI 22.028 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.028 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.028 * [taylor]: Taking taylor expansion of a in a 22.028 * [backup-simplify]: Simplify 0 into 0 22.028 * [backup-simplify]: Simplify 1 into 1 22.028 * [backup-simplify]: Simplify (/ 1 1) into 1 22.029 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.029 * [taylor]: Taking taylor expansion of b in a 22.029 * [backup-simplify]: Simplify b into b 22.029 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.029 * [backup-simplify]: Simplify (+ 1 0) into 1 22.030 * [backup-simplify]: Simplify (/ PI 1) into PI 22.030 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 22.030 * [taylor]: Taking taylor expansion of (* -1 PI) in b 22.030 * [taylor]: Taking taylor expansion of -1 in b 22.030 * [backup-simplify]: Simplify -1 into -1 22.030 * [taylor]: Taking taylor expansion of PI in b 22.030 * [backup-simplify]: Simplify PI into PI 22.031 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 22.031 * [backup-simplify]: Simplify 0 into 0 22.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.032 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 22.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 22.033 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 22.033 * [taylor]: Taking taylor expansion of (/ PI b) in b 22.033 * [taylor]: Taking taylor expansion of PI in b 22.033 * [backup-simplify]: Simplify PI into PI 22.033 * [taylor]: Taking taylor expansion of b in b 22.033 * [backup-simplify]: Simplify 0 into 0 22.033 * [backup-simplify]: Simplify 1 into 1 22.034 * [backup-simplify]: Simplify (/ PI 1) into PI 22.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.036 * [backup-simplify]: Simplify 0 into 0 22.037 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 22.037 * [backup-simplify]: Simplify 0 into 0 22.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 22.038 * [backup-simplify]: Simplify (+ 0 0) into 0 22.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 22.040 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 22.040 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 22.040 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 22.040 * [taylor]: Taking taylor expansion of PI in b 22.040 * [backup-simplify]: Simplify PI into PI 22.040 * [taylor]: Taking taylor expansion of (pow b 2) in b 22.041 * [taylor]: Taking taylor expansion of b in b 22.041 * [backup-simplify]: Simplify 0 into 0 22.041 * [backup-simplify]: Simplify 1 into 1 22.041 * [backup-simplify]: Simplify (* 1 1) into 1 22.041 * [backup-simplify]: Simplify (/ PI 1) into PI 22.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.048 * [backup-simplify]: Simplify (- 0) into 0 22.048 * [backup-simplify]: Simplify 0 into 0 22.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.049 * [backup-simplify]: Simplify 0 into 0 22.050 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.050 * [backup-simplify]: Simplify 0 into 0 22.050 * [backup-simplify]: Simplify 0 into 0 22.050 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 22.051 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 22.051 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 22.051 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 22.051 * [taylor]: Taking taylor expansion of PI in b 22.051 * [backup-simplify]: Simplify PI into PI 22.051 * [taylor]: Taking taylor expansion of (+ a b) in b 22.051 * [taylor]: Taking taylor expansion of a in b 22.051 * [backup-simplify]: Simplify a into a 22.051 * [taylor]: Taking taylor expansion of b in b 22.051 * [backup-simplify]: Simplify 0 into 0 22.051 * [backup-simplify]: Simplify 1 into 1 22.051 * [backup-simplify]: Simplify (+ a 0) into a 22.051 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 22.051 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 22.051 * [taylor]: Taking taylor expansion of PI in a 22.051 * [backup-simplify]: Simplify PI into PI 22.051 * [taylor]: Taking taylor expansion of (+ a b) in a 22.051 * [taylor]: Taking taylor expansion of a in a 22.051 * [backup-simplify]: Simplify 0 into 0 22.051 * [backup-simplify]: Simplify 1 into 1 22.051 * [taylor]: Taking taylor expansion of b in a 22.051 * [backup-simplify]: Simplify b into b 22.051 * [backup-simplify]: Simplify (+ 0 b) into b 22.051 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 22.051 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 22.051 * [taylor]: Taking taylor expansion of PI in a 22.051 * [backup-simplify]: Simplify PI into PI 22.051 * [taylor]: Taking taylor expansion of (+ a b) in a 22.051 * [taylor]: Taking taylor expansion of a in a 22.051 * [backup-simplify]: Simplify 0 into 0 22.051 * [backup-simplify]: Simplify 1 into 1 22.051 * [taylor]: Taking taylor expansion of b in a 22.051 * [backup-simplify]: Simplify b into b 22.051 * [backup-simplify]: Simplify (+ 0 b) into b 22.052 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 22.052 * [taylor]: Taking taylor expansion of (/ PI b) in b 22.052 * [taylor]: Taking taylor expansion of PI in b 22.052 * [backup-simplify]: Simplify PI into PI 22.052 * [taylor]: Taking taylor expansion of b in b 22.052 * [backup-simplify]: Simplify 0 into 0 22.052 * [backup-simplify]: Simplify 1 into 1 22.052 * [backup-simplify]: Simplify (/ PI 1) into PI 22.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.054 * [backup-simplify]: Simplify 0 into 0 22.054 * [backup-simplify]: Simplify (+ 1 0) into 1 22.054 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 22.054 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 22.054 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 22.054 * [taylor]: Taking taylor expansion of PI in b 22.054 * [backup-simplify]: Simplify PI into PI 22.054 * [taylor]: Taking taylor expansion of (pow b 2) in b 22.054 * [taylor]: Taking taylor expansion of b in b 22.054 * [backup-simplify]: Simplify 0 into 0 22.054 * [backup-simplify]: Simplify 1 into 1 22.055 * [backup-simplify]: Simplify (* 1 1) into 1 22.055 * [backup-simplify]: Simplify (/ PI 1) into PI 22.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.059 * [backup-simplify]: Simplify (- 0) into 0 22.059 * [backup-simplify]: Simplify 0 into 0 22.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.060 * [backup-simplify]: Simplify 0 into 0 22.061 * [backup-simplify]: Simplify (+ 0 0) into 0 22.061 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 22.061 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 22.061 * [taylor]: Taking taylor expansion of PI in b 22.061 * [backup-simplify]: Simplify PI into PI 22.061 * [taylor]: Taking taylor expansion of (pow b 3) in b 22.061 * [taylor]: Taking taylor expansion of b in b 22.061 * [backup-simplify]: Simplify 0 into 0 22.061 * [backup-simplify]: Simplify 1 into 1 22.062 * [backup-simplify]: Simplify (* 1 1) into 1 22.062 * [backup-simplify]: Simplify (* 1 1) into 1 22.063 * [backup-simplify]: Simplify (/ PI 1) into PI 22.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.072 * [backup-simplify]: Simplify 0 into 0 22.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.074 * [backup-simplify]: Simplify (- 0) into 0 22.074 * [backup-simplify]: Simplify 0 into 0 22.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.075 * [backup-simplify]: Simplify 0 into 0 22.075 * [backup-simplify]: Simplify 0 into 0 22.076 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 22.076 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 22.076 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 22.076 * [taylor]: Taking taylor expansion of PI in b 22.076 * [backup-simplify]: Simplify PI into PI 22.076 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 22.076 * [taylor]: Taking taylor expansion of (/ 1 a) in b 22.076 * [taylor]: Taking taylor expansion of a in b 22.076 * [backup-simplify]: Simplify a into a 22.076 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 22.076 * [taylor]: Taking taylor expansion of (/ 1 b) in b 22.076 * [taylor]: Taking taylor expansion of b in b 22.076 * [backup-simplify]: Simplify 0 into 0 22.076 * [backup-simplify]: Simplify 1 into 1 22.077 * [backup-simplify]: Simplify (/ 1 1) into 1 22.077 * [backup-simplify]: Simplify (+ 0 1) into 1 22.078 * [backup-simplify]: Simplify (/ PI 1) into PI 22.078 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 22.078 * [taylor]: Taking taylor expansion of PI in a 22.078 * [backup-simplify]: Simplify PI into PI 22.078 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.078 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.078 * [taylor]: Taking taylor expansion of a in a 22.078 * [backup-simplify]: Simplify 0 into 0 22.078 * [backup-simplify]: Simplify 1 into 1 22.078 * [backup-simplify]: Simplify (/ 1 1) into 1 22.078 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.078 * [taylor]: Taking taylor expansion of b in a 22.078 * [backup-simplify]: Simplify b into b 22.078 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.079 * [backup-simplify]: Simplify (+ 1 0) into 1 22.079 * [backup-simplify]: Simplify (/ PI 1) into PI 22.079 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 22.079 * [taylor]: Taking taylor expansion of PI in a 22.079 * [backup-simplify]: Simplify PI into PI 22.079 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.080 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.080 * [taylor]: Taking taylor expansion of a in a 22.080 * [backup-simplify]: Simplify 0 into 0 22.080 * [backup-simplify]: Simplify 1 into 1 22.080 * [backup-simplify]: Simplify (/ 1 1) into 1 22.080 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.080 * [taylor]: Taking taylor expansion of b in a 22.080 * [backup-simplify]: Simplify b into b 22.080 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.081 * [backup-simplify]: Simplify (+ 1 0) into 1 22.081 * [backup-simplify]: Simplify (/ PI 1) into PI 22.081 * [taylor]: Taking taylor expansion of PI in b 22.081 * [backup-simplify]: Simplify PI into PI 22.081 * [backup-simplify]: Simplify 0 into 0 22.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.082 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 22.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 22.083 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 22.083 * [taylor]: Taking taylor expansion of (/ PI b) in b 22.083 * [taylor]: Taking taylor expansion of PI in b 22.083 * [backup-simplify]: Simplify PI into PI 22.083 * [taylor]: Taking taylor expansion of b in b 22.083 * [backup-simplify]: Simplify 0 into 0 22.083 * [backup-simplify]: Simplify 1 into 1 22.083 * [backup-simplify]: Simplify (/ PI 1) into PI 22.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.086 * [backup-simplify]: Simplify (- 0) into 0 22.086 * [backup-simplify]: Simplify 0 into 0 22.086 * [backup-simplify]: Simplify 0 into 0 22.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 22.088 * [backup-simplify]: Simplify (+ 0 0) into 0 22.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 22.089 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 22.089 * [taylor]: Taking taylor expansion of PI in b 22.089 * [backup-simplify]: Simplify PI into PI 22.089 * [taylor]: Taking taylor expansion of (pow b 2) in b 22.089 * [taylor]: Taking taylor expansion of b in b 22.089 * [backup-simplify]: Simplify 0 into 0 22.089 * [backup-simplify]: Simplify 1 into 1 22.089 * [backup-simplify]: Simplify (* 1 1) into 1 22.090 * [backup-simplify]: Simplify (/ PI 1) into PI 22.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.096 * [backup-simplify]: Simplify 0 into 0 22.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.097 * [backup-simplify]: Simplify (- 0) into 0 22.097 * [backup-simplify]: Simplify 0 into 0 22.097 * [backup-simplify]: Simplify 0 into 0 22.097 * [backup-simplify]: Simplify 0 into 0 22.098 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 22.098 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 22.098 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 22.098 * [taylor]: Taking taylor expansion of -1 in b 22.098 * [backup-simplify]: Simplify -1 into -1 22.098 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 22.098 * [taylor]: Taking taylor expansion of PI in b 22.098 * [backup-simplify]: Simplify PI into PI 22.098 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 22.098 * [taylor]: Taking taylor expansion of (/ 1 a) in b 22.098 * [taylor]: Taking taylor expansion of a in b 22.098 * [backup-simplify]: Simplify a into a 22.098 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 22.098 * [taylor]: Taking taylor expansion of (/ 1 b) in b 22.098 * [taylor]: Taking taylor expansion of b in b 22.098 * [backup-simplify]: Simplify 0 into 0 22.098 * [backup-simplify]: Simplify 1 into 1 22.098 * [backup-simplify]: Simplify (/ 1 1) into 1 22.099 * [backup-simplify]: Simplify (+ 0 1) into 1 22.099 * [backup-simplify]: Simplify (/ PI 1) into PI 22.099 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 22.099 * [taylor]: Taking taylor expansion of -1 in a 22.099 * [backup-simplify]: Simplify -1 into -1 22.100 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 22.100 * [taylor]: Taking taylor expansion of PI in a 22.100 * [backup-simplify]: Simplify PI into PI 22.100 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.100 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.100 * [taylor]: Taking taylor expansion of a in a 22.100 * [backup-simplify]: Simplify 0 into 0 22.100 * [backup-simplify]: Simplify 1 into 1 22.100 * [backup-simplify]: Simplify (/ 1 1) into 1 22.100 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.100 * [taylor]: Taking taylor expansion of b in a 22.100 * [backup-simplify]: Simplify b into b 22.100 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.101 * [backup-simplify]: Simplify (+ 1 0) into 1 22.101 * [backup-simplify]: Simplify (/ PI 1) into PI 22.101 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 22.101 * [taylor]: Taking taylor expansion of -1 in a 22.101 * [backup-simplify]: Simplify -1 into -1 22.101 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 22.101 * [taylor]: Taking taylor expansion of PI in a 22.101 * [backup-simplify]: Simplify PI into PI 22.101 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.101 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.101 * [taylor]: Taking taylor expansion of a in a 22.101 * [backup-simplify]: Simplify 0 into 0 22.101 * [backup-simplify]: Simplify 1 into 1 22.102 * [backup-simplify]: Simplify (/ 1 1) into 1 22.102 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.102 * [taylor]: Taking taylor expansion of b in a 22.102 * [backup-simplify]: Simplify b into b 22.102 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.102 * [backup-simplify]: Simplify (+ 1 0) into 1 22.103 * [backup-simplify]: Simplify (/ PI 1) into PI 22.103 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 22.103 * [taylor]: Taking taylor expansion of (* -1 PI) in b 22.103 * [taylor]: Taking taylor expansion of -1 in b 22.103 * [backup-simplify]: Simplify -1 into -1 22.103 * [taylor]: Taking taylor expansion of PI in b 22.103 * [backup-simplify]: Simplify PI into PI 22.105 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 22.105 * [backup-simplify]: Simplify 0 into 0 22.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.106 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 22.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 22.107 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 22.107 * [taylor]: Taking taylor expansion of (/ PI b) in b 22.107 * [taylor]: Taking taylor expansion of PI in b 22.107 * [backup-simplify]: Simplify PI into PI 22.107 * [taylor]: Taking taylor expansion of b in b 22.107 * [backup-simplify]: Simplify 0 into 0 22.107 * [backup-simplify]: Simplify 1 into 1 22.107 * [backup-simplify]: Simplify (/ PI 1) into PI 22.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.110 * [backup-simplify]: Simplify 0 into 0 22.111 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 22.111 * [backup-simplify]: Simplify 0 into 0 22.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 22.112 * [backup-simplify]: Simplify (+ 0 0) into 0 22.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 22.114 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 22.115 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 22.115 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 22.115 * [taylor]: Taking taylor expansion of PI in b 22.115 * [backup-simplify]: Simplify PI into PI 22.115 * [taylor]: Taking taylor expansion of (pow b 2) in b 22.115 * [taylor]: Taking taylor expansion of b in b 22.115 * [backup-simplify]: Simplify 0 into 0 22.115 * [backup-simplify]: Simplify 1 into 1 22.115 * [backup-simplify]: Simplify (* 1 1) into 1 22.116 * [backup-simplify]: Simplify (/ PI 1) into PI 22.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.121 * [backup-simplify]: Simplify (- 0) into 0 22.121 * [backup-simplify]: Simplify 0 into 0 22.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.122 * [backup-simplify]: Simplify 0 into 0 22.123 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.123 * [backup-simplify]: Simplify 0 into 0 22.123 * [backup-simplify]: Simplify 0 into 0 22.123 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 22.123 * [backup-simplify]: Simplify (/ (/ (/ PI (+ a b)) 2) b) into (* 1/2 (/ PI (* b (+ a b)))) 22.123 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in (a b) around 0 22.123 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in b 22.123 * [taylor]: Taking taylor expansion of 1/2 in b 22.123 * [backup-simplify]: Simplify 1/2 into 1/2 22.123 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in b 22.123 * [taylor]: Taking taylor expansion of PI in b 22.123 * [backup-simplify]: Simplify PI into PI 22.123 * [taylor]: Taking taylor expansion of (* b (+ a b)) in b 22.123 * [taylor]: Taking taylor expansion of b in b 22.123 * [backup-simplify]: Simplify 0 into 0 22.123 * [backup-simplify]: Simplify 1 into 1 22.123 * [taylor]: Taking taylor expansion of (+ a b) in b 22.123 * [taylor]: Taking taylor expansion of a in b 22.123 * [backup-simplify]: Simplify a into a 22.123 * [taylor]: Taking taylor expansion of b in b 22.123 * [backup-simplify]: Simplify 0 into 0 22.123 * [backup-simplify]: Simplify 1 into 1 22.123 * [backup-simplify]: Simplify (+ a 0) into a 22.123 * [backup-simplify]: Simplify (* 0 a) into 0 22.123 * [backup-simplify]: Simplify (+ 0 1) into 1 22.124 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 a)) into a 22.124 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 22.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in a 22.124 * [taylor]: Taking taylor expansion of 1/2 in a 22.124 * [backup-simplify]: Simplify 1/2 into 1/2 22.124 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in a 22.124 * [taylor]: Taking taylor expansion of PI in a 22.124 * [backup-simplify]: Simplify PI into PI 22.124 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 22.124 * [taylor]: Taking taylor expansion of b in a 22.124 * [backup-simplify]: Simplify b into b 22.124 * [taylor]: Taking taylor expansion of (+ a b) in a 22.124 * [taylor]: Taking taylor expansion of a in a 22.124 * [backup-simplify]: Simplify 0 into 0 22.124 * [backup-simplify]: Simplify 1 into 1 22.124 * [taylor]: Taking taylor expansion of b in a 22.124 * [backup-simplify]: Simplify b into b 22.124 * [backup-simplify]: Simplify (+ 0 b) into b 22.124 * [backup-simplify]: Simplify (* b b) into (pow b 2) 22.124 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 22.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in a 22.124 * [taylor]: Taking taylor expansion of 1/2 in a 22.124 * [backup-simplify]: Simplify 1/2 into 1/2 22.124 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in a 22.124 * [taylor]: Taking taylor expansion of PI in a 22.124 * [backup-simplify]: Simplify PI into PI 22.124 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 22.124 * [taylor]: Taking taylor expansion of b in a 22.124 * [backup-simplify]: Simplify b into b 22.124 * [taylor]: Taking taylor expansion of (+ a b) in a 22.124 * [taylor]: Taking taylor expansion of a in a 22.124 * [backup-simplify]: Simplify 0 into 0 22.124 * [backup-simplify]: Simplify 1 into 1 22.124 * [taylor]: Taking taylor expansion of b in a 22.124 * [backup-simplify]: Simplify b into b 22.124 * [backup-simplify]: Simplify (+ 0 b) into b 22.124 * [backup-simplify]: Simplify (* b b) into (pow b 2) 22.124 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 22.125 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 22.125 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 22.125 * [taylor]: Taking taylor expansion of 1/2 in b 22.125 * [backup-simplify]: Simplify 1/2 into 1/2 22.125 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 22.125 * [taylor]: Taking taylor expansion of PI in b 22.125 * [backup-simplify]: Simplify PI into PI 22.125 * [taylor]: Taking taylor expansion of (pow b 2) in b 22.125 * [taylor]: Taking taylor expansion of b in b 22.125 * [backup-simplify]: Simplify 0 into 0 22.125 * [backup-simplify]: Simplify 1 into 1 22.125 * [backup-simplify]: Simplify (* 1 1) into 1 22.125 * [backup-simplify]: Simplify (/ PI 1) into PI 22.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 22.127 * [backup-simplify]: Simplify 0 into 0 22.127 * [backup-simplify]: Simplify (+ 1 0) into 1 22.127 * [backup-simplify]: Simplify (+ (* b 1) (* 0 b)) into b 22.127 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ b (pow b 2))))) into (- (/ PI (pow b 3))) 22.127 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 22.128 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 22.128 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 22.128 * [taylor]: Taking taylor expansion of 1/2 in b 22.128 * [backup-simplify]: Simplify 1/2 into 1/2 22.128 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 22.128 * [taylor]: Taking taylor expansion of PI in b 22.128 * [backup-simplify]: Simplify PI into PI 22.128 * [taylor]: Taking taylor expansion of (pow b 3) in b 22.128 * [taylor]: Taking taylor expansion of b in b 22.128 * [backup-simplify]: Simplify 0 into 0 22.128 * [backup-simplify]: Simplify 1 into 1 22.128 * [backup-simplify]: Simplify (* 1 1) into 1 22.128 * [backup-simplify]: Simplify (* 1 1) into 1 22.128 * [backup-simplify]: Simplify (/ PI 1) into PI 22.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 22.132 * [backup-simplify]: Simplify (- 0) into 0 22.132 * [backup-simplify]: Simplify 0 into 0 22.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 22.134 * [backup-simplify]: Simplify 0 into 0 22.134 * [backup-simplify]: Simplify (+ 0 0) into 0 22.135 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 1) (* 0 b))) into 0 22.135 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))) (* (- (/ PI (pow b 3))) (/ b (pow b 2))))) into (/ PI (pow b 4)) 22.135 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 4))) (+ (* 0 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 22.135 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 22.135 * [taylor]: Taking taylor expansion of 1/2 in b 22.135 * [backup-simplify]: Simplify 1/2 into 1/2 22.135 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 22.135 * [taylor]: Taking taylor expansion of PI in b 22.135 * [backup-simplify]: Simplify PI into PI 22.135 * [taylor]: Taking taylor expansion of (pow b 4) in b 22.135 * [taylor]: Taking taylor expansion of b in b 22.135 * [backup-simplify]: Simplify 0 into 0 22.135 * [backup-simplify]: Simplify 1 into 1 22.136 * [backup-simplify]: Simplify (* 1 1) into 1 22.136 * [backup-simplify]: Simplify (* 1 1) into 1 22.136 * [backup-simplify]: Simplify (/ PI 1) into PI 22.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.147 * [backup-simplify]: Simplify 0 into 0 22.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.150 * [backup-simplify]: Simplify (- 0) into 0 22.150 * [backup-simplify]: Simplify 0 into 0 22.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.152 * [backup-simplify]: Simplify 0 into 0 22.152 * [backup-simplify]: Simplify 0 into 0 22.152 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2) (/ 1 b)) into (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) 22.152 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 22.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in b 22.152 * [taylor]: Taking taylor expansion of 1/2 in b 22.152 * [backup-simplify]: Simplify 1/2 into 1/2 22.152 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in b 22.152 * [taylor]: Taking taylor expansion of (* b PI) in b 22.152 * [taylor]: Taking taylor expansion of b in b 22.152 * [backup-simplify]: Simplify 0 into 0 22.152 * [backup-simplify]: Simplify 1 into 1 22.152 * [taylor]: Taking taylor expansion of PI in b 22.152 * [backup-simplify]: Simplify PI into PI 22.152 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 22.152 * [taylor]: Taking taylor expansion of (/ 1 a) in b 22.152 * [taylor]: Taking taylor expansion of a in b 22.152 * [backup-simplify]: Simplify a into a 22.152 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 22.152 * [taylor]: Taking taylor expansion of (/ 1 b) in b 22.152 * [taylor]: Taking taylor expansion of b in b 22.152 * [backup-simplify]: Simplify 0 into 0 22.152 * [backup-simplify]: Simplify 1 into 1 22.153 * [backup-simplify]: Simplify (/ 1 1) into 1 22.153 * [backup-simplify]: Simplify (* 0 PI) into 0 22.154 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 22.155 * [backup-simplify]: Simplify (+ 0 1) into 1 22.155 * [backup-simplify]: Simplify (/ PI 1) into PI 22.155 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 22.155 * [taylor]: Taking taylor expansion of 1/2 in a 22.155 * [backup-simplify]: Simplify 1/2 into 1/2 22.155 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 22.155 * [taylor]: Taking taylor expansion of (* b PI) in a 22.155 * [taylor]: Taking taylor expansion of b in a 22.155 * [backup-simplify]: Simplify b into b 22.155 * [taylor]: Taking taylor expansion of PI in a 22.155 * [backup-simplify]: Simplify PI into PI 22.155 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.155 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.155 * [taylor]: Taking taylor expansion of a in a 22.155 * [backup-simplify]: Simplify 0 into 0 22.155 * [backup-simplify]: Simplify 1 into 1 22.155 * [backup-simplify]: Simplify (/ 1 1) into 1 22.155 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.155 * [taylor]: Taking taylor expansion of b in a 22.155 * [backup-simplify]: Simplify b into b 22.155 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.155 * [backup-simplify]: Simplify (* b PI) into (* PI b) 22.156 * [backup-simplify]: Simplify (+ 1 0) into 1 22.156 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 22.156 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 22.156 * [taylor]: Taking taylor expansion of 1/2 in a 22.156 * [backup-simplify]: Simplify 1/2 into 1/2 22.156 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 22.156 * [taylor]: Taking taylor expansion of (* b PI) in a 22.156 * [taylor]: Taking taylor expansion of b in a 22.156 * [backup-simplify]: Simplify b into b 22.156 * [taylor]: Taking taylor expansion of PI in a 22.156 * [backup-simplify]: Simplify PI into PI 22.156 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.156 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.156 * [taylor]: Taking taylor expansion of a in a 22.156 * [backup-simplify]: Simplify 0 into 0 22.156 * [backup-simplify]: Simplify 1 into 1 22.156 * [backup-simplify]: Simplify (/ 1 1) into 1 22.156 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.156 * [taylor]: Taking taylor expansion of b in a 22.156 * [backup-simplify]: Simplify b into b 22.156 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.156 * [backup-simplify]: Simplify (* b PI) into (* PI b) 22.157 * [backup-simplify]: Simplify (+ 1 0) into 1 22.157 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 22.157 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 22.157 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 22.157 * [taylor]: Taking taylor expansion of 1/2 in b 22.157 * [backup-simplify]: Simplify 1/2 into 1/2 22.157 * [taylor]: Taking taylor expansion of (* PI b) in b 22.157 * [taylor]: Taking taylor expansion of PI in b 22.157 * [backup-simplify]: Simplify PI into PI 22.157 * [taylor]: Taking taylor expansion of b in b 22.157 * [backup-simplify]: Simplify 0 into 0 22.157 * [backup-simplify]: Simplify 1 into 1 22.158 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 22.159 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 22.159 * [backup-simplify]: Simplify (* PI 0) into 0 22.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 22.159 * [backup-simplify]: Simplify 0 into 0 22.160 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 22.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.160 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 22.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 22.161 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 22.161 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 22.161 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 22.161 * [taylor]: Taking taylor expansion of 1/2 in b 22.161 * [backup-simplify]: Simplify 1/2 into 1/2 22.161 * [taylor]: Taking taylor expansion of PI in b 22.161 * [backup-simplify]: Simplify PI into PI 22.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 22.162 * [backup-simplify]: Simplify (- 0) into 0 22.162 * [backup-simplify]: Simplify 0 into 0 22.163 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 22.164 * [backup-simplify]: Simplify 0 into 0 22.164 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 22.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 22.165 * [backup-simplify]: Simplify (+ 0 0) into 0 22.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 22.166 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 22.167 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 22.167 * [taylor]: Taking taylor expansion of 1/2 in b 22.167 * [backup-simplify]: Simplify 1/2 into 1/2 22.167 * [taylor]: Taking taylor expansion of (/ PI b) in b 22.167 * [taylor]: Taking taylor expansion of PI in b 22.167 * [backup-simplify]: Simplify PI into PI 22.167 * [taylor]: Taking taylor expansion of b in b 22.167 * [backup-simplify]: Simplify 0 into 0 22.167 * [backup-simplify]: Simplify 1 into 1 22.167 * [backup-simplify]: Simplify (/ PI 1) into PI 22.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.170 * [backup-simplify]: Simplify 0 into 0 22.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.170 * [backup-simplify]: Simplify (- 0) into 0 22.171 * [backup-simplify]: Simplify 0 into 0 22.171 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 22.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 22.172 * [backup-simplify]: Simplify 0 into 0 22.172 * [backup-simplify]: Simplify 0 into 0 22.172 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ 1 (- b))) into (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) 22.172 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 22.172 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in b 22.172 * [taylor]: Taking taylor expansion of 1/2 in b 22.172 * [backup-simplify]: Simplify 1/2 into 1/2 22.172 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in b 22.172 * [taylor]: Taking taylor expansion of (* b PI) in b 22.172 * [taylor]: Taking taylor expansion of b in b 22.172 * [backup-simplify]: Simplify 0 into 0 22.172 * [backup-simplify]: Simplify 1 into 1 22.172 * [taylor]: Taking taylor expansion of PI in b 22.173 * [backup-simplify]: Simplify PI into PI 22.173 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 22.173 * [taylor]: Taking taylor expansion of (/ 1 a) in b 22.173 * [taylor]: Taking taylor expansion of a in b 22.173 * [backup-simplify]: Simplify a into a 22.173 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 22.173 * [taylor]: Taking taylor expansion of (/ 1 b) in b 22.173 * [taylor]: Taking taylor expansion of b in b 22.173 * [backup-simplify]: Simplify 0 into 0 22.173 * [backup-simplify]: Simplify 1 into 1 22.173 * [backup-simplify]: Simplify (/ 1 1) into 1 22.173 * [backup-simplify]: Simplify (* 0 PI) into 0 22.174 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 22.174 * [backup-simplify]: Simplify (+ 0 1) into 1 22.175 * [backup-simplify]: Simplify (/ PI 1) into PI 22.175 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 22.175 * [taylor]: Taking taylor expansion of 1/2 in a 22.175 * [backup-simplify]: Simplify 1/2 into 1/2 22.175 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 22.175 * [taylor]: Taking taylor expansion of (* b PI) in a 22.175 * [taylor]: Taking taylor expansion of b in a 22.175 * [backup-simplify]: Simplify b into b 22.175 * [taylor]: Taking taylor expansion of PI in a 22.175 * [backup-simplify]: Simplify PI into PI 22.175 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.175 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.175 * [taylor]: Taking taylor expansion of a in a 22.175 * [backup-simplify]: Simplify 0 into 0 22.175 * [backup-simplify]: Simplify 1 into 1 22.175 * [backup-simplify]: Simplify (/ 1 1) into 1 22.175 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.175 * [taylor]: Taking taylor expansion of b in a 22.175 * [backup-simplify]: Simplify b into b 22.175 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.175 * [backup-simplify]: Simplify (* b PI) into (* PI b) 22.176 * [backup-simplify]: Simplify (+ 1 0) into 1 22.176 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 22.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 22.176 * [taylor]: Taking taylor expansion of 1/2 in a 22.176 * [backup-simplify]: Simplify 1/2 into 1/2 22.176 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 22.176 * [taylor]: Taking taylor expansion of (* b PI) in a 22.176 * [taylor]: Taking taylor expansion of b in a 22.176 * [backup-simplify]: Simplify b into b 22.176 * [taylor]: Taking taylor expansion of PI in a 22.176 * [backup-simplify]: Simplify PI into PI 22.176 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.176 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.176 * [taylor]: Taking taylor expansion of a in a 22.176 * [backup-simplify]: Simplify 0 into 0 22.176 * [backup-simplify]: Simplify 1 into 1 22.176 * [backup-simplify]: Simplify (/ 1 1) into 1 22.176 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.176 * [taylor]: Taking taylor expansion of b in a 22.176 * [backup-simplify]: Simplify b into b 22.176 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.176 * [backup-simplify]: Simplify (* b PI) into (* PI b) 22.177 * [backup-simplify]: Simplify (+ 1 0) into 1 22.177 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 22.177 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 22.177 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 22.177 * [taylor]: Taking taylor expansion of 1/2 in b 22.177 * [backup-simplify]: Simplify 1/2 into 1/2 22.177 * [taylor]: Taking taylor expansion of (* PI b) in b 22.177 * [taylor]: Taking taylor expansion of PI in b 22.177 * [backup-simplify]: Simplify PI into PI 22.177 * [taylor]: Taking taylor expansion of b in b 22.177 * [backup-simplify]: Simplify 0 into 0 22.177 * [backup-simplify]: Simplify 1 into 1 22.177 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 22.178 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 22.179 * [backup-simplify]: Simplify (* PI 0) into 0 22.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 22.179 * [backup-simplify]: Simplify 0 into 0 22.180 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 22.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.181 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 22.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 22.182 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 22.182 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 22.182 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 22.182 * [taylor]: Taking taylor expansion of 1/2 in b 22.182 * [backup-simplify]: Simplify 1/2 into 1/2 22.182 * [taylor]: Taking taylor expansion of PI in b 22.183 * [backup-simplify]: Simplify PI into PI 22.184 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 22.184 * [backup-simplify]: Simplify (- 0) into 0 22.184 * [backup-simplify]: Simplify 0 into 0 22.185 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 22.186 * [backup-simplify]: Simplify 0 into 0 22.186 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 22.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 22.187 * [backup-simplify]: Simplify (+ 0 0) into 0 22.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 22.188 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 22.188 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 22.188 * [taylor]: Taking taylor expansion of 1/2 in b 22.188 * [backup-simplify]: Simplify 1/2 into 1/2 22.188 * [taylor]: Taking taylor expansion of (/ PI b) in b 22.188 * [taylor]: Taking taylor expansion of PI in b 22.188 * [backup-simplify]: Simplify PI into PI 22.188 * [taylor]: Taking taylor expansion of b in b 22.188 * [backup-simplify]: Simplify 0 into 0 22.188 * [backup-simplify]: Simplify 1 into 1 22.189 * [backup-simplify]: Simplify (/ PI 1) into PI 22.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.191 * [backup-simplify]: Simplify 0 into 0 22.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.192 * [backup-simplify]: Simplify (- 0) into 0 22.192 * [backup-simplify]: Simplify 0 into 0 22.193 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 22.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 22.194 * [backup-simplify]: Simplify 0 into 0 22.194 * [backup-simplify]: Simplify 0 into 0 22.194 * * * [progress]: simplifying candidates 22.194 * * * * [progress]: [ 1 / 445 ] simplifiying candidate # 22.194 * * * * [progress]: [ 2 / 445 ] simplifiying candidate # 22.194 * * * * [progress]: [ 3 / 445 ] simplifiying candidate # 22.194 * * * * [progress]: [ 4 / 445 ] simplifiying candidate # 22.194 * * * * [progress]: [ 5 / 445 ] simplifiying candidate # 22.194 * * * * [progress]: [ 6 / 445 ] simplifiying candidate # 22.194 * * * * [progress]: [ 7 / 445 ] simplifiying candidate # 22.194 * * * * [progress]: [ 8 / 445 ] simplifiying candidate # 22.194 * * * * [progress]: [ 9 / 445 ] simplifiying candidate # 22.194 * * * * [progress]: [ 10 / 445 ] simplifiying candidate # 22.194 * * * * [progress]: [ 11 / 445 ] simplifiying candidate # 22.195 * * * * [progress]: [ 12 / 445 ] simplifiying candidate # 22.195 * * * * [progress]: [ 13 / 445 ] simplifiying candidate # 22.195 * * * * [progress]: [ 14 / 445 ] simplifiying candidate # 22.195 * * * * [progress]: [ 15 / 445 ] simplifiying candidate # 22.195 * * * * [progress]: [ 16 / 445 ] simplifiying candidate # 22.195 * * * * [progress]: [ 17 / 445 ] 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22.195 * * * * [progress]: [ 33 / 445 ] simplifiying candidate # 22.195 * * * * [progress]: [ 34 / 445 ] simplifiying candidate # 22.195 * * * * [progress]: [ 35 / 445 ] simplifiying candidate # 22.196 * * * * [progress]: [ 36 / 445 ] simplifiying candidate # 22.196 * * * * [progress]: [ 37 / 445 ] simplifiying candidate # 22.196 * * * * [progress]: [ 38 / 445 ] simplifiying candidate # 22.196 * * * * [progress]: [ 39 / 445 ] simplifiying candidate # 22.196 * * * * [progress]: [ 40 / 445 ] simplifiying candidate # 22.196 * * * * [progress]: [ 41 / 445 ] simplifiying candidate # 22.196 * * * * [progress]: [ 42 / 445 ] simplifiying candidate # 22.196 * * * * [progress]: [ 43 / 445 ] simplifiying candidate # 22.196 * * * * [progress]: [ 44 / 445 ] simplifiying candidate # 22.196 * * * * [progress]: [ 45 / 445 ] simplifiying candidate # 22.196 * * * * [progress]: [ 46 / 445 ] simplifiying candidate # 22.196 * * * * [progress]: [ 47 / 445 ] simplifiying candidate # 22.196 * * * * [progress]: [ 48 / 445 ] simplifiying candidate # 22.196 * * * * [progress]: [ 49 / 445 ] simplifiying candidate # 22.196 * * * * [progress]: [ 50 / 445 ] simplifiying candidate # 22.196 * * * * [progress]: [ 51 / 445 ] simplifiying candidate # 22.196 * * * * [progress]: [ 52 / 445 ] simplifiying candidate # 22.196 * * * * [progress]: [ 53 / 445 ] simplifiying candidate # 22.196 * * * * [progress]: [ 54 / 445 ] simplifiying candidate # 22.196 * * * * [progress]: [ 55 / 445 ] simplifiying candidate # 22.196 * * * * [progress]: [ 56 / 445 ] simplifiying candidate # 22.196 * * * * [progress]: [ 57 / 445 ] simplifiying candidate # 22.197 * * * * [progress]: [ 58 / 445 ] simplifiying candidate # 22.197 * * * * [progress]: [ 59 / 445 ] simplifiying candidate # 22.197 * * * * [progress]: [ 60 / 445 ] simplifiying candidate # 22.197 * * * * [progress]: [ 61 / 445 ] simplifiying candidate # 22.197 * * * * [progress]: [ 62 / 445 ] simplifiying candidate # 22.197 * * * * [progress]: [ 63 / 445 ] simplifiying candidate # 22.197 * * * * [progress]: [ 64 / 445 ] simplifiying candidate # 22.197 * * * * [progress]: [ 65 / 445 ] simplifiying candidate # 22.197 * * * * [progress]: [ 66 / 445 ] simplifiying candidate # 22.197 * * * * [progress]: [ 67 / 445 ] simplifiying candidate # 22.197 * * * * [progress]: [ 68 / 445 ] simplifiying candidate # 22.197 * * * * [progress]: [ 69 / 445 ] simplifiying candidate # 22.197 * * * * [progress]: [ 70 / 445 ] simplifiying candidate # 22.197 * * * * [progress]: [ 71 / 445 ] simplifiying candidate # 22.197 * * * * [progress]: [ 72 / 445 ] simplifiying candidate # 22.197 * * * * [progress]: [ 73 / 445 ] simplifiying candidate # 22.197 * * * * [progress]: [ 74 / 445 ] simplifiying candidate # 22.197 * * * * [progress]: [ 75 / 445 ] simplifiying candidate # 22.197 * * * * [progress]: [ 76 / 445 ] simplifiying candidate # 22.197 * * * * [progress]: [ 77 / 445 ] simplifiying candidate # 22.197 * * * * [progress]: [ 78 / 445 ] simplifiying candidate # 22.198 * * * * [progress]: [ 79 / 445 ] simplifiying candidate # 22.198 * * * * [progress]: [ 80 / 445 ] simplifiying candidate # 22.198 * * * * [progress]: [ 81 / 445 ] simplifiying candidate # 22.198 * * * * [progress]: [ 82 / 445 ] simplifiying candidate # 22.198 * * * * [progress]: [ 83 / 445 ] simplifiying candidate # 22.198 * * * * [progress]: [ 84 / 445 ] simplifiying candidate # 22.198 * * * * [progress]: [ 85 / 445 ] simplifiying candidate # 22.198 * * * * [progress]: [ 86 / 445 ] simplifiying candidate # 22.198 * * * * [progress]: [ 87 / 445 ] simplifiying candidate # 22.198 * * * * [progress]: [ 88 / 445 ] simplifiying candidate # 22.198 * * * * [progress]: [ 89 / 445 ] simplifiying candidate # 22.198 * * * * [progress]: [ 90 / 445 ] simplifiying candidate # 22.198 * * * * [progress]: [ 91 / 445 ] simplifiying candidate # 22.198 * * * * [progress]: [ 92 / 445 ] simplifiying candidate # 22.198 * * * * [progress]: [ 93 / 445 ] simplifiying candidate # 22.198 * * * * [progress]: [ 94 / 445 ] simplifiying candidate # 22.198 * * * * [progress]: [ 95 / 445 ] simplifiying candidate # 22.198 * * * * [progress]: [ 96 / 445 ] simplifiying candidate # 22.198 * * * * [progress]: [ 97 / 445 ] simplifiying candidate # 22.198 * * * * [progress]: [ 98 / 445 ] simplifiying candidate # 22.198 * * * * [progress]: [ 99 / 445 ] simplifiying candidate # 22.198 * * * * [progress]: [ 100 / 445 ] simplifiying candidate # 22.199 * * * * [progress]: [ 101 / 445 ] simplifiying candidate # 22.199 * * * * [progress]: [ 102 / 445 ] simplifiying candidate # 22.199 * * * * [progress]: [ 103 / 445 ] simplifiying candidate # 22.199 * * * * [progress]: [ 104 / 445 ] simplifiying candidate # 22.199 * * * * [progress]: [ 105 / 445 ] simplifiying candidate # 22.199 * * * * [progress]: [ 106 / 445 ] simplifiying candidate # 22.199 * * * * [progress]: [ 107 / 445 ] simplifiying candidate # 22.199 * * * * [progress]: [ 108 / 445 ] simplifiying candidate # 22.199 * * * * [progress]: [ 109 / 445 ] simplifiying candidate # 22.199 * * * * [progress]: [ 110 / 445 ] simplifiying candidate # 22.199 * * * * [progress]: [ 111 / 445 ] simplifiying candidate #real (real->posit16 (* (/ (/ PI (+ a b)) 2) (/ 1 a)))) (- (/ (/ (/ PI (+ a b)) 2) b))) (- b a)))> 22.199 * * * * [progress]: [ 112 / 445 ] simplifiying candidate # 22.199 * * * * [progress]: [ 113 / 445 ] simplifiying candidate # 22.199 * * * * [progress]: [ 114 / 445 ] simplifiying candidate # 22.199 * * * * [progress]: [ 115 / 445 ] simplifiying candidate # 22.200 * * * * [progress]: [ 116 / 445 ] simplifiying candidate # 22.200 * * * * [progress]: [ 117 / 445 ] simplifiying candidate # 22.200 * * * * [progress]: [ 118 / 445 ] simplifiying candidate # 22.200 * * * * [progress]: [ 119 / 445 ] simplifiying candidate # 22.200 * * * * [progress]: [ 120 / 445 ] simplifiying candidate # 22.200 * * * * [progress]: [ 121 / 445 ] simplifiying candidate # 22.200 * * * * [progress]: [ 122 / 445 ] simplifiying candidate # 22.200 * 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candidate # 22.215 * * * * [progress]: [ 436 / 445 ] simplifiying candidate # 22.215 * * * * [progress]: [ 437 / 445 ] simplifiying candidate # 22.215 * * * * [progress]: [ 438 / 445 ] simplifiying candidate # 22.215 * * * * [progress]: [ 439 / 445 ] simplifiying candidate # 22.215 * * * * [progress]: [ 440 / 445 ] simplifiying candidate # 22.215 * * * * [progress]: [ 441 / 445 ] simplifiying candidate # 22.215 * * * * [progress]: [ 442 / 445 ] simplifiying candidate # 22.215 * * * * [progress]: [ 443 / 445 ] simplifiying candidate # 22.215 * * * * [progress]: [ 444 / 445 ] simplifiying candidate # 22.215 * * * * [progress]: [ 445 / 445 ] simplifiying candidate # 22.220 * [simplify]: Simplifying: (* (/ (/ PI (+ a b)) 2) (/ 1 a)) (+ (- (- (log PI) (log (+ a b))) (log 2)) (- (log a))) (+ (- (- (log PI) (log (+ a b))) (log 2)) (- 0 (log a))) (+ (- (- (log PI) (log (+ a b))) (log 2)) (- (log 1) (log a))) (+ (- (- (log PI) (log (+ a b))) (log 2)) (log (/ 1 a))) (+ (- (log (/ PI (+ a b))) 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b)) (* (sqrt b) (sqrt 2))) (/ 1 (sqrt 2)) (/ (/ PI (+ a b)) (* (sqrt 2) b)) (/ (/ 1 (cbrt b)) (cbrt b)) (/ (/ PI (* (+ a b) 2)) (cbrt b)) (/ 1 (sqrt b)) (/ (/ PI (* (+ a b) 2)) (sqrt b)) 1 (/ (/ PI (+ a b)) (* b 2)) (/ (/ (/ 1 (cbrt 2)) (cbrt 2)) (* (cbrt b) (cbrt b))) (/ (/ PI (* (+ a b) (cbrt 2))) (cbrt b)) (/ (/ (/ 1 (cbrt 2)) (cbrt 2)) (sqrt b)) (/ (/ PI (* (+ a b) (cbrt 2))) (sqrt b)) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (/ PI (+ a b)) (* b (cbrt 2))) (/ (/ (/ 1 (sqrt 2)) (cbrt b)) (cbrt b)) (/ (/ PI (+ a b)) (* (cbrt b) (sqrt 2))) (/ (/ 1 (sqrt 2)) (sqrt b)) (/ (/ PI (+ a b)) (* (sqrt b) (sqrt 2))) (/ 1 (sqrt 2)) (/ (/ PI (+ a b)) (* (sqrt 2) b)) (/ (/ 1 (cbrt b)) (cbrt b)) (/ (/ PI (* (+ a b) 2)) (cbrt b)) (/ 1 (sqrt b)) (/ (/ PI (* (+ a b) 2)) (sqrt b)) 1 (/ (/ PI (+ a b)) (* b 2)) (/ (/ (/ 1 (cbrt 2)) (cbrt 2)) (* (cbrt b) (cbrt b))) (/ (/ PI (* (+ a b) (cbrt 2))) (cbrt b)) (/ (/ (/ 1 (cbrt 2)) (cbrt 2)) (sqrt b)) (/ (/ PI (* (+ a b) (cbrt 2))) (sqrt b)) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (/ PI (+ a b)) (* b (cbrt 2))) (/ (/ (/ 1 (sqrt 2)) (cbrt b)) (cbrt b)) (/ (/ PI (+ a b)) (* (cbrt b) (sqrt 2))) (/ (/ 1 (sqrt 2)) (sqrt b)) (/ (/ PI (+ a b)) (* (sqrt b) (sqrt 2))) (/ 1 (sqrt 2)) (/ (/ PI (+ a b)) (* (sqrt 2) b)) (/ (/ 1 (cbrt b)) (cbrt b)) (/ (/ PI (* (+ a b) 2)) (cbrt b)) (/ 1 (sqrt b)) (/ (/ PI (* (+ a b) 2)) (sqrt b)) 1 (/ (/ PI (+ a b)) (* b 2)) (/ PI (* (* (cbrt b) (cbrt 2)) (* (cbrt b) (cbrt 2)))) (/ (/ 1 (+ a b)) (* (cbrt b) (cbrt 2))) (/ (/ (/ PI (cbrt 2)) (cbrt 2)) (sqrt b)) (/ (/ 1 (+ a b)) (* (sqrt b) (cbrt 2))) (/ (/ PI (cbrt 2)) (cbrt 2)) (/ (/ 1 (+ a b)) (* b (cbrt 2))) (/ (/ (/ PI (sqrt 2)) (cbrt b)) (cbrt b)) (/ (/ (/ 1 (+ a b)) (sqrt 2)) (cbrt b)) (/ PI (* (sqrt b) (sqrt 2))) (/ (/ (/ 1 (+ a b)) (sqrt 2)) (sqrt b)) (/ PI (sqrt 2)) (/ (/ (/ 1 (+ a b)) (sqrt 2)) b) (/ PI (* (cbrt b) (cbrt b))) (/ (/ 1 (* (+ a b) 2)) (cbrt b)) (/ PI (sqrt b)) (/ (/ 1 (* (+ a b) 2)) (sqrt b)) PI (/ (/ 1 (+ a b)) (* b 2)) (/ (/ PI (+ (* (* b b) b) (* a (* a a)))) (* (* (cbrt b) (cbrt 2)) (* (cbrt b) (cbrt 2)))) (/ (+ (* b (- b a)) (* a a)) (* (cbrt b) (cbrt 2))) (/ (/ (/ PI (+ (* (* b b) b) (* a (* a a)))) (sqrt b)) (* (cbrt 2) (cbrt 2))) (/ (+ (* b (- b a)) (* a a)) (* (sqrt b) (cbrt 2))) (/ (/ PI (* (cbrt 2) (+ (* (* b b) b) (* a (* a a))))) (cbrt 2)) (/ (+ (* b (- b a)) (* a a)) (* b (cbrt 2))) (/ (/ PI (+ (* (* b b) b) (* a (* a a)))) (* (* (cbrt b) (cbrt b)) (sqrt 2))) (/ (/ (+ (* b (- b a)) (* a a)) (sqrt 2)) (cbrt b)) (/ (/ (/ PI (+ (* (* b b) b) (* a (* a a)))) (sqrt 2)) (sqrt b)) (/ (+ (* b (- b a)) (* a a)) (* (sqrt b) (sqrt 2))) (/ (/ PI (+ (* (* b b) b) (* a (* a a)))) (sqrt 2)) (/ (+ (* b (- b a)) (* a a)) (* (sqrt 2) b)) (/ (/ PI (+ (* (* b b) b) (* a (* a a)))) (* (cbrt b) (cbrt b))) (/ (+ (* b (- b a)) (* a a)) (* (cbrt b) 2)) (/ PI (* (sqrt b) (+ (* (* b b) b) (* a (* a a))))) (/ (+ (* b (- b a)) (* a a)) (* (sqrt b) 2)) (/ PI (+ (* (* b b) b) (* a (* a a)))) (/ (/ (+ (* b (- b a)) (* a a)) b) 2) (/ (/ PI (* (- a b) (+ a b))) (* (* (cbrt b) (cbrt 2)) (* (cbrt b) (cbrt 2)))) (/ (- a b) (* (cbrt b) (cbrt 2))) (/ (/ (/ PI (* (- a b) (+ a b))) (sqrt b)) (* (cbrt 2) (cbrt 2))) (/ (/ (- a b) (sqrt b)) (cbrt 2)) (/ (/ PI (* (cbrt 2) (cbrt 2))) (* (- a b) (+ a b))) (/ (- a b) (* b (cbrt 2))) (/ (/ (/ PI (* (* (sqrt 2) (+ a b)) (- a b))) (cbrt b)) (cbrt b)) (/ (/ (- a b) (sqrt 2)) (cbrt b)) (/ (/ PI (* (* (sqrt 2) (+ a b)) (- a b))) (sqrt b)) (/ (- a b) (* (sqrt b) (sqrt 2))) (/ PI (* (* (sqrt 2) (+ a b)) (- a b))) (/ (- a b) (* (sqrt 2) b)) (/ (/ PI (* (- a b) (+ a b))) (* (cbrt b) (cbrt b))) (/ (- a b) (* (cbrt b) 2)) (/ (/ PI (* (- a b) (+ a b))) (sqrt b)) (/ (- a b) (* (sqrt b) 2)) (/ PI (* (- a b) (+ a b))) (/ (/ (- a b) 2) b) (/ (/ 1 (cbrt b)) (cbrt b)) (/ (/ PI (* (+ a b) 2)) (cbrt b)) (/ 1 (sqrt b)) (/ (/ PI (* (+ a b) 2)) (sqrt b)) 1 (/ (/ PI (+ a b)) (* b 2)) (/ (/ PI (+ a b)) (* (cbrt b) (cbrt b))) (/ 1/2 (cbrt b)) (/ (/ PI (sqrt b)) (+ a b)) (/ 1/2 (sqrt b)) (/ PI (+ a b)) (/ 1/2 b) (/ 1 b) (/ (* b 2) (/ PI (+ a b))) (/ (/ (/ PI (* (+ a b) 2)) (cbrt b)) (cbrt b)) (/ (/ PI (* (+ a b) 2)) (sqrt b)) (/ PI (* (+ a b) 2)) (/ b (cbrt (/ PI (* (+ a b) 2)))) (/ b (sqrt (/ PI (* (+ a b) 2)))) (/ (* b (cbrt 2)) (cbrt (/ PI (+ a b)))) (* (sqrt 2) (/ b (cbrt (/ PI (+ a b))))) (/ (* b 2) (cbrt (/ PI (+ a b)))) (/ (* b (cbrt 2)) (sqrt (/ PI (+ a b)))) (/ (* b (sqrt 2)) (sqrt (/ PI (+ a b)))) (/ (* b 2) (sqrt (/ PI (+ a b)))) (/ (* b (cbrt 2)) (/ (cbrt PI) (cbrt (+ a b)))) (/ b (/ (/ (cbrt PI) (sqrt 2)) (cbrt (+ a b)))) (/ (* b 2) (/ (cbrt PI) (cbrt (+ a b)))) (/ (* b (cbrt 2)) (/ (cbrt PI) (sqrt (+ a b)))) (/ (* b (sqrt 2)) (/ (cbrt PI) (sqrt (+ a b)))) (/ (* b 2) (/ (cbrt PI) (sqrt (+ a b)))) (* (/ b (/ (cbrt PI) (+ a b))) (cbrt 2)) (* (/ b (/ (cbrt PI) (+ a b))) (sqrt 2)) (* 2 (/ b (/ (cbrt PI) (+ a b)))) (* (/ b (/ (cbrt PI) (+ a b))) (cbrt 2)) (* (/ b (/ (cbrt PI) (+ a b))) (sqrt 2)) (* 2 (/ b (/ (cbrt PI) (+ a b)))) (* (/ b (/ (sqrt PI) (cbrt (+ a b)))) (cbrt 2)) (/ b (/ (/ (sqrt PI) (cbrt (+ a b))) (sqrt 2))) (/ b (/ (/ (sqrt PI) (cbrt (+ a b))) 2)) (/ (* b (cbrt 2)) (/ (sqrt PI) (sqrt (+ a b)))) (/ b (/ (/ (sqrt PI) (sqrt (+ a b))) (sqrt 2))) (/ (* b 2) (/ (sqrt PI) (sqrt (+ a b)))) (/ b (/ (/ (sqrt PI) (cbrt 2)) (+ a b))) (* (* (/ b (sqrt PI)) (+ a b)) (sqrt 2)) (* (* (/ b (sqrt PI)) (+ a b)) 2) (/ b (/ (/ (sqrt PI) (cbrt 2)) (+ a b))) (* (* (/ b (sqrt PI)) (+ a b)) (sqrt 2)) (* (* (/ b (sqrt PI)) (+ a b)) 2) (/ (* b (cbrt 2)) (/ PI (cbrt (+ a b)))) (/ (* b (sqrt 2)) (/ PI (cbrt (+ a b)))) (* 2 (* (/ b PI) (cbrt (+ a b)))) (/ (* b (cbrt 2)) (/ PI (sqrt (+ a b)))) (/ (* b (sqrt 2)) (/ PI (sqrt (+ a b)))) (* 2 (/ b (/ PI (sqrt (+ a b))))) (/ (* b (cbrt 2)) (/ PI (+ a b))) (* (/ b (/ PI (+ a b))) (sqrt 2)) (/ (* b 2) (/ PI (+ a b))) (/ (* b (cbrt 2)) (/ PI (+ a b))) (* (/ b (/ PI (+ a b))) (sqrt 2)) (/ (* b 2) (/ PI (+ a b))) (/ (* b (cbrt 2)) (/ PI (+ a b))) (* (/ b (/ PI (+ a b))) (sqrt 2)) (/ (* b 2) (/ PI (+ a b))) (* (cbrt 2) (/ b (/ 1 (+ a b)))) (* (/ b (/ 1 (+ a b))) (sqrt 2)) (/ b (/ 1 (* (+ a b) 2))) (/ (* b (cbrt 2)) (+ (* b (- b a)) (* a a))) (/ (* b (sqrt 2)) (+ (* b (- b a)) (* a a))) (* 2 (/ b (+ (* b (- b a)) (* a a)))) (* (cbrt 2) (/ b (- a b))) (* (/ b (- a b)) (sqrt 2)) (/ (* b 2) (- a b)) (/ (* b 2) (/ PI (+ a b))) (* b 2) (* b 2) (real->posit16 (/ (/ PI (+ a b)) (* b 2))) 0 0 0 0 0 0 0 0 0 0 0 0 23.923 * * * [progress]: adding candidates to table 26.557 * * [progress]: iteration 4 / 4 26.557 * * * [progress]: picking best candidate 26.578 * * * * [pick]: Picked # 26.578 * * * [progress]: localizing error 26.617 * * * [progress]: generating rewritten candidates 26.618 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 1 1) 26.663 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 26.678 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 26.715 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 26.769 * * * [progress]: generating series expansions 26.769 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 1 1) 26.769 * [backup-simplify]: Simplify (* PI (/ 1 (+ a b))) into (/ PI (+ a b)) 26.769 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 26.770 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 26.770 * [taylor]: Taking taylor expansion of PI in b 26.770 * [backup-simplify]: Simplify PI into PI 26.770 * [taylor]: Taking taylor expansion of (+ a b) in b 26.770 * [taylor]: Taking taylor expansion of a in b 26.770 * [backup-simplify]: Simplify a into a 26.770 * [taylor]: Taking taylor expansion of b in b 26.770 * [backup-simplify]: Simplify 0 into 0 26.770 * [backup-simplify]: Simplify 1 into 1 26.770 * [backup-simplify]: Simplify (+ a 0) into a 26.770 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 26.770 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 26.770 * [taylor]: Taking taylor expansion of PI in a 26.770 * [backup-simplify]: Simplify PI into PI 26.770 * [taylor]: Taking taylor expansion of (+ a b) in a 26.770 * [taylor]: Taking taylor expansion of a in a 26.770 * [backup-simplify]: Simplify 0 into 0 26.770 * [backup-simplify]: Simplify 1 into 1 26.770 * [taylor]: Taking taylor expansion of b in a 26.770 * [backup-simplify]: Simplify b into b 26.770 * [backup-simplify]: Simplify (+ 0 b) into b 26.770 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 26.770 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 26.770 * [taylor]: Taking taylor expansion of PI in a 26.770 * [backup-simplify]: Simplify PI into PI 26.770 * [taylor]: Taking taylor expansion of (+ a b) in a 26.770 * [taylor]: Taking taylor expansion of a in a 26.770 * [backup-simplify]: Simplify 0 into 0 26.770 * [backup-simplify]: Simplify 1 into 1 26.770 * [taylor]: Taking taylor expansion of b in a 26.770 * [backup-simplify]: Simplify b into b 26.770 * [backup-simplify]: Simplify (+ 0 b) into b 26.770 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 26.770 * [taylor]: Taking taylor expansion of (/ PI b) in b 26.770 * [taylor]: Taking taylor expansion of PI in b 26.770 * [backup-simplify]: Simplify PI into PI 26.770 * [taylor]: Taking taylor expansion of b in b 26.770 * [backup-simplify]: Simplify 0 into 0 26.770 * [backup-simplify]: Simplify 1 into 1 26.771 * [backup-simplify]: Simplify (/ PI 1) into PI 26.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.772 * [backup-simplify]: Simplify 0 into 0 26.772 * [backup-simplify]: Simplify (+ 1 0) into 1 26.772 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 26.772 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 26.772 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 26.772 * [taylor]: Taking taylor expansion of PI in b 26.772 * [backup-simplify]: Simplify PI into PI 26.772 * [taylor]: Taking taylor expansion of (pow b 2) in b 26.772 * [taylor]: Taking taylor expansion of b in b 26.772 * [backup-simplify]: Simplify 0 into 0 26.772 * [backup-simplify]: Simplify 1 into 1 26.773 * [backup-simplify]: Simplify (* 1 1) into 1 26.773 * [backup-simplify]: Simplify (/ PI 1) into PI 26.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.775 * [backup-simplify]: Simplify (- 0) into 0 26.775 * [backup-simplify]: Simplify 0 into 0 26.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.776 * [backup-simplify]: Simplify 0 into 0 26.776 * [backup-simplify]: Simplify (+ 0 0) into 0 26.777 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 26.777 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 26.777 * [taylor]: Taking taylor expansion of PI in b 26.777 * [backup-simplify]: Simplify PI into PI 26.777 * [taylor]: Taking taylor expansion of (pow b 3) in b 26.777 * [taylor]: Taking taylor expansion of b in b 26.777 * [backup-simplify]: Simplify 0 into 0 26.777 * [backup-simplify]: Simplify 1 into 1 26.777 * [backup-simplify]: Simplify (* 1 1) into 1 26.777 * [backup-simplify]: Simplify (* 1 1) into 1 26.778 * [backup-simplify]: Simplify (/ PI 1) into PI 26.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.786 * [backup-simplify]: Simplify 0 into 0 26.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.788 * [backup-simplify]: Simplify (- 0) into 0 26.788 * [backup-simplify]: Simplify 0 into 0 26.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.790 * [backup-simplify]: Simplify 0 into 0 26.790 * [backup-simplify]: Simplify 0 into 0 26.790 * [backup-simplify]: Simplify (* PI (/ 1 (+ (/ 1 a) (/ 1 b)))) into (/ PI (+ (/ 1 a) (/ 1 b))) 26.790 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 26.790 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 26.790 * [taylor]: Taking taylor expansion of PI in b 26.790 * [backup-simplify]: Simplify PI into PI 26.790 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 26.790 * [taylor]: Taking taylor expansion of (/ 1 a) in b 26.790 * [taylor]: Taking taylor expansion of a in b 26.790 * [backup-simplify]: Simplify a into a 26.790 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 26.790 * [taylor]: Taking taylor expansion of (/ 1 b) in b 26.790 * [taylor]: Taking taylor expansion of b in b 26.790 * [backup-simplify]: Simplify 0 into 0 26.790 * [backup-simplify]: Simplify 1 into 1 26.790 * [backup-simplify]: Simplify (/ 1 1) into 1 26.791 * [backup-simplify]: Simplify (+ 0 1) into 1 26.791 * [backup-simplify]: Simplify (/ PI 1) into PI 26.791 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 26.791 * [taylor]: Taking taylor expansion of PI in a 26.791 * [backup-simplify]: Simplify PI into PI 26.792 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 26.792 * [taylor]: Taking taylor expansion of (/ 1 a) in a 26.792 * [taylor]: Taking taylor expansion of a in a 26.792 * [backup-simplify]: Simplify 0 into 0 26.792 * [backup-simplify]: Simplify 1 into 1 26.792 * [backup-simplify]: Simplify (/ 1 1) into 1 26.792 * [taylor]: Taking taylor expansion of (/ 1 b) in a 26.792 * [taylor]: Taking taylor expansion of b in a 26.792 * [backup-simplify]: Simplify b into b 26.792 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 26.792 * [backup-simplify]: Simplify (+ 1 0) into 1 26.793 * [backup-simplify]: Simplify (/ PI 1) into PI 26.793 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 26.793 * [taylor]: Taking taylor expansion of PI in a 26.793 * [backup-simplify]: Simplify PI into PI 26.793 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 26.793 * [taylor]: Taking taylor expansion of (/ 1 a) in a 26.793 * [taylor]: Taking taylor expansion of a in a 26.793 * [backup-simplify]: Simplify 0 into 0 26.793 * [backup-simplify]: Simplify 1 into 1 26.793 * [backup-simplify]: Simplify (/ 1 1) into 1 26.793 * [taylor]: Taking taylor expansion of (/ 1 b) in a 26.793 * [taylor]: Taking taylor expansion of b in a 26.793 * [backup-simplify]: Simplify b into b 26.793 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 26.793 * [backup-simplify]: Simplify (+ 1 0) into 1 26.794 * [backup-simplify]: Simplify (/ PI 1) into PI 26.794 * [taylor]: Taking taylor expansion of PI in b 26.794 * [backup-simplify]: Simplify PI into PI 26.794 * [backup-simplify]: Simplify 0 into 0 26.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.794 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 26.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 26.795 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 26.795 * [taylor]: Taking taylor expansion of (/ PI b) in b 26.795 * [taylor]: Taking taylor expansion of PI in b 26.795 * [backup-simplify]: Simplify PI into PI 26.795 * [taylor]: Taking taylor expansion of b in b 26.795 * [backup-simplify]: Simplify 0 into 0 26.795 * [backup-simplify]: Simplify 1 into 1 26.795 * [backup-simplify]: Simplify (/ PI 1) into PI 26.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.797 * [backup-simplify]: Simplify (- 0) into 0 26.797 * [backup-simplify]: Simplify 0 into 0 26.797 * [backup-simplify]: Simplify 0 into 0 26.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 26.798 * [backup-simplify]: Simplify (+ 0 0) into 0 26.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 26.798 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 26.798 * [taylor]: Taking taylor expansion of PI in b 26.798 * [backup-simplify]: Simplify PI into PI 26.798 * [taylor]: Taking taylor expansion of (pow b 2) in b 26.798 * [taylor]: Taking taylor expansion of b in b 26.799 * [backup-simplify]: Simplify 0 into 0 26.799 * [backup-simplify]: Simplify 1 into 1 26.799 * [backup-simplify]: Simplify (* 1 1) into 1 26.799 * [backup-simplify]: Simplify (/ PI 1) into PI 26.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.803 * [backup-simplify]: Simplify 0 into 0 26.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.803 * [backup-simplify]: Simplify (- 0) into 0 26.803 * [backup-simplify]: Simplify 0 into 0 26.804 * [backup-simplify]: Simplify 0 into 0 26.804 * [backup-simplify]: Simplify 0 into 0 26.804 * [backup-simplify]: Simplify (* PI (/ 1 (+ (/ 1 (- a)) (/ 1 (- b))))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 26.804 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 26.804 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 26.804 * [taylor]: Taking taylor expansion of -1 in b 26.804 * [backup-simplify]: Simplify -1 into -1 26.804 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 26.804 * [taylor]: Taking taylor expansion of PI in b 26.804 * [backup-simplify]: Simplify PI into PI 26.804 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 26.804 * [taylor]: Taking taylor expansion of (/ 1 a) in b 26.804 * [taylor]: Taking taylor expansion of a in b 26.804 * [backup-simplify]: Simplify a into a 26.804 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 26.804 * [taylor]: Taking taylor expansion of (/ 1 b) in b 26.804 * [taylor]: Taking taylor expansion of b in b 26.804 * [backup-simplify]: Simplify 0 into 0 26.804 * [backup-simplify]: Simplify 1 into 1 26.804 * [backup-simplify]: Simplify (/ 1 1) into 1 26.805 * [backup-simplify]: Simplify (+ 0 1) into 1 26.805 * [backup-simplify]: Simplify (/ PI 1) into PI 26.805 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 26.805 * [taylor]: Taking taylor expansion of -1 in a 26.805 * [backup-simplify]: Simplify -1 into -1 26.805 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 26.805 * [taylor]: Taking taylor expansion of PI in a 26.805 * [backup-simplify]: Simplify PI into PI 26.805 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 26.805 * [taylor]: Taking taylor expansion of (/ 1 a) in a 26.805 * [taylor]: Taking taylor expansion of a in a 26.805 * [backup-simplify]: Simplify 0 into 0 26.805 * [backup-simplify]: Simplify 1 into 1 26.805 * [backup-simplify]: Simplify (/ 1 1) into 1 26.805 * [taylor]: Taking taylor expansion of (/ 1 b) in a 26.805 * [taylor]: Taking taylor expansion of b in a 26.805 * [backup-simplify]: Simplify b into b 26.805 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 26.806 * [backup-simplify]: Simplify (+ 1 0) into 1 26.806 * [backup-simplify]: Simplify (/ PI 1) into PI 26.806 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 26.806 * [taylor]: Taking taylor expansion of -1 in a 26.806 * [backup-simplify]: Simplify -1 into -1 26.806 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 26.806 * [taylor]: Taking taylor expansion of PI in a 26.806 * [backup-simplify]: Simplify PI into PI 26.806 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 26.806 * [taylor]: Taking taylor expansion of (/ 1 a) in a 26.806 * [taylor]: Taking taylor expansion of a in a 26.806 * [backup-simplify]: Simplify 0 into 0 26.806 * [backup-simplify]: Simplify 1 into 1 26.806 * [backup-simplify]: Simplify (/ 1 1) into 1 26.806 * [taylor]: Taking taylor expansion of (/ 1 b) in a 26.806 * [taylor]: Taking taylor expansion of b in a 26.807 * [backup-simplify]: Simplify b into b 26.807 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 26.807 * [backup-simplify]: Simplify (+ 1 0) into 1 26.807 * [backup-simplify]: Simplify (/ PI 1) into PI 26.808 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 26.808 * [taylor]: Taking taylor expansion of (* -1 PI) in b 26.808 * [taylor]: Taking taylor expansion of -1 in b 26.808 * [backup-simplify]: Simplify -1 into -1 26.808 * [taylor]: Taking taylor expansion of PI in b 26.808 * [backup-simplify]: Simplify PI into PI 26.808 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 26.808 * [backup-simplify]: Simplify 0 into 0 26.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.809 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 26.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 26.809 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 26.810 * [taylor]: Taking taylor expansion of (/ PI b) in b 26.810 * [taylor]: Taking taylor expansion of PI in b 26.810 * [backup-simplify]: Simplify PI into PI 26.810 * [taylor]: Taking taylor expansion of b in b 26.810 * [backup-simplify]: Simplify 0 into 0 26.810 * [backup-simplify]: Simplify 1 into 1 26.810 * [backup-simplify]: Simplify (/ PI 1) into PI 26.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.811 * [backup-simplify]: Simplify 0 into 0 26.812 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 26.812 * [backup-simplify]: Simplify 0 into 0 26.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 26.813 * [backup-simplify]: Simplify (+ 0 0) into 0 26.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 26.815 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 26.815 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 26.816 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 26.816 * [taylor]: Taking taylor expansion of PI in b 26.816 * [backup-simplify]: Simplify PI into PI 26.816 * [taylor]: Taking taylor expansion of (pow b 2) in b 26.816 * [taylor]: Taking taylor expansion of b in b 26.816 * [backup-simplify]: Simplify 0 into 0 26.816 * [backup-simplify]: Simplify 1 into 1 26.816 * [backup-simplify]: Simplify (* 1 1) into 1 26.817 * [backup-simplify]: Simplify (/ PI 1) into PI 26.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.824 * [backup-simplify]: Simplify (- 0) into 0 26.824 * [backup-simplify]: Simplify 0 into 0 26.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.825 * [backup-simplify]: Simplify 0 into 0 26.826 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 26.826 * [backup-simplify]: Simplify 0 into 0 26.826 * [backup-simplify]: Simplify 0 into 0 26.827 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 26.827 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 26.827 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 26.827 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 26.827 * [taylor]: Taking taylor expansion of PI in b 26.827 * [backup-simplify]: Simplify PI into PI 26.827 * [taylor]: Taking taylor expansion of (+ a b) in b 26.827 * [taylor]: Taking taylor expansion of a in b 26.827 * [backup-simplify]: Simplify a into a 26.827 * [taylor]: Taking taylor expansion of b in b 26.827 * [backup-simplify]: Simplify 0 into 0 26.827 * [backup-simplify]: Simplify 1 into 1 26.827 * [backup-simplify]: Simplify (+ a 0) into a 26.827 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 26.827 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 26.827 * [taylor]: Taking taylor expansion of PI in a 26.827 * [backup-simplify]: Simplify PI into PI 26.827 * [taylor]: Taking taylor expansion of (+ a b) in a 26.827 * [taylor]: Taking taylor expansion of a in a 26.827 * [backup-simplify]: Simplify 0 into 0 26.827 * [backup-simplify]: Simplify 1 into 1 26.827 * [taylor]: Taking taylor expansion of b in a 26.827 * [backup-simplify]: Simplify b into b 26.827 * [backup-simplify]: Simplify (+ 0 b) into b 26.827 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 26.828 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 26.828 * [taylor]: Taking taylor expansion of PI in a 26.828 * [backup-simplify]: Simplify PI into PI 26.828 * [taylor]: Taking taylor expansion of (+ a b) in a 26.828 * [taylor]: Taking taylor expansion of a in a 26.828 * [backup-simplify]: Simplify 0 into 0 26.828 * [backup-simplify]: Simplify 1 into 1 26.828 * [taylor]: Taking taylor expansion of b in a 26.828 * [backup-simplify]: Simplify b into b 26.828 * [backup-simplify]: Simplify (+ 0 b) into b 26.828 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 26.828 * [taylor]: Taking taylor expansion of (/ PI b) in b 26.828 * [taylor]: Taking taylor expansion of PI in b 26.828 * [backup-simplify]: Simplify PI into PI 26.828 * [taylor]: Taking taylor expansion of b in b 26.828 * [backup-simplify]: Simplify 0 into 0 26.828 * [backup-simplify]: Simplify 1 into 1 26.829 * [backup-simplify]: Simplify (/ PI 1) into PI 26.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.830 * [backup-simplify]: Simplify 0 into 0 26.831 * [backup-simplify]: Simplify (+ 1 0) into 1 26.831 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 26.831 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 26.831 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 26.831 * [taylor]: Taking taylor expansion of PI in b 26.831 * [backup-simplify]: Simplify PI into PI 26.831 * [taylor]: Taking taylor expansion of (pow b 2) in b 26.831 * [taylor]: Taking taylor expansion of b in b 26.831 * [backup-simplify]: Simplify 0 into 0 26.831 * [backup-simplify]: Simplify 1 into 1 26.832 * [backup-simplify]: Simplify (* 1 1) into 1 26.832 * [backup-simplify]: Simplify (/ PI 1) into PI 26.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.836 * [backup-simplify]: Simplify (- 0) into 0 26.836 * [backup-simplify]: Simplify 0 into 0 26.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.838 * [backup-simplify]: Simplify 0 into 0 26.838 * [backup-simplify]: Simplify (+ 0 0) into 0 26.838 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 26.838 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 26.839 * [taylor]: Taking taylor expansion of PI in b 26.839 * [backup-simplify]: Simplify PI into PI 26.839 * [taylor]: Taking taylor expansion of (pow b 3) in b 26.839 * [taylor]: Taking taylor expansion of b in b 26.839 * [backup-simplify]: Simplify 0 into 0 26.839 * [backup-simplify]: Simplify 1 into 1 26.839 * [backup-simplify]: Simplify (* 1 1) into 1 26.839 * [backup-simplify]: Simplify (* 1 1) into 1 26.840 * [backup-simplify]: Simplify (/ PI 1) into PI 26.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.849 * [backup-simplify]: Simplify 0 into 0 26.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.853 * [backup-simplify]: Simplify (- 0) into 0 26.853 * [backup-simplify]: Simplify 0 into 0 26.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.854 * [backup-simplify]: Simplify 0 into 0 26.854 * [backup-simplify]: Simplify 0 into 0 26.855 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 26.855 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 26.855 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 26.855 * [taylor]: Taking taylor expansion of PI in b 26.855 * [backup-simplify]: Simplify PI into PI 26.855 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 26.855 * [taylor]: Taking taylor expansion of (/ 1 a) in b 26.855 * [taylor]: Taking taylor expansion of a in b 26.855 * [backup-simplify]: Simplify a into a 26.855 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 26.855 * [taylor]: Taking taylor expansion of (/ 1 b) in b 26.855 * [taylor]: Taking taylor expansion of b in b 26.855 * [backup-simplify]: Simplify 0 into 0 26.855 * [backup-simplify]: Simplify 1 into 1 26.856 * [backup-simplify]: Simplify (/ 1 1) into 1 26.856 * [backup-simplify]: Simplify (+ 0 1) into 1 26.857 * [backup-simplify]: Simplify (/ PI 1) into PI 26.857 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 26.857 * [taylor]: Taking taylor expansion of PI in a 26.857 * [backup-simplify]: Simplify PI into PI 26.857 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 26.857 * [taylor]: Taking taylor expansion of (/ 1 a) in a 26.857 * [taylor]: Taking taylor expansion of a in a 26.857 * [backup-simplify]: Simplify 0 into 0 26.857 * [backup-simplify]: Simplify 1 into 1 26.858 * [backup-simplify]: Simplify (/ 1 1) into 1 26.858 * [taylor]: Taking taylor expansion of (/ 1 b) in a 26.858 * [taylor]: Taking taylor expansion of b in a 26.858 * [backup-simplify]: Simplify b into b 26.858 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 26.858 * [backup-simplify]: Simplify (+ 1 0) into 1 26.859 * [backup-simplify]: Simplify (/ PI 1) into PI 26.859 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 26.859 * [taylor]: Taking taylor expansion of PI in a 26.859 * [backup-simplify]: Simplify PI into PI 26.859 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 26.859 * [taylor]: Taking taylor expansion of (/ 1 a) in a 26.859 * [taylor]: Taking taylor expansion of a in a 26.859 * [backup-simplify]: Simplify 0 into 0 26.859 * [backup-simplify]: Simplify 1 into 1 26.860 * [backup-simplify]: Simplify (/ 1 1) into 1 26.860 * [taylor]: Taking taylor expansion of (/ 1 b) in a 26.860 * [taylor]: Taking taylor expansion of b in a 26.860 * [backup-simplify]: Simplify b into b 26.860 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 26.860 * [backup-simplify]: Simplify (+ 1 0) into 1 26.860 * [backup-simplify]: Simplify (/ PI 1) into PI 26.860 * [taylor]: Taking taylor expansion of PI in b 26.861 * [backup-simplify]: Simplify PI into PI 26.861 * [backup-simplify]: Simplify 0 into 0 26.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.861 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 26.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 26.861 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 26.861 * [taylor]: Taking taylor expansion of (/ PI b) in b 26.862 * [taylor]: Taking taylor expansion of PI in b 26.862 * [backup-simplify]: Simplify PI into PI 26.862 * [taylor]: Taking taylor expansion of b in b 26.862 * [backup-simplify]: Simplify 0 into 0 26.862 * [backup-simplify]: Simplify 1 into 1 26.862 * [backup-simplify]: Simplify (/ PI 1) into PI 26.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.863 * [backup-simplify]: Simplify (- 0) into 0 26.863 * [backup-simplify]: Simplify 0 into 0 26.863 * [backup-simplify]: Simplify 0 into 0 26.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 26.864 * [backup-simplify]: Simplify (+ 0 0) into 0 26.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 26.865 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 26.865 * [taylor]: Taking taylor expansion of PI in b 26.865 * [backup-simplify]: Simplify PI into PI 26.865 * [taylor]: Taking taylor expansion of (pow b 2) in b 26.865 * [taylor]: Taking taylor expansion of b in b 26.865 * [backup-simplify]: Simplify 0 into 0 26.865 * [backup-simplify]: Simplify 1 into 1 26.866 * [backup-simplify]: Simplify (* 1 1) into 1 26.866 * [backup-simplify]: Simplify (/ PI 1) into PI 26.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.869 * [backup-simplify]: Simplify 0 into 0 26.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.870 * [backup-simplify]: Simplify (- 0) into 0 26.870 * [backup-simplify]: Simplify 0 into 0 26.871 * [backup-simplify]: Simplify 0 into 0 26.871 * [backup-simplify]: Simplify 0 into 0 26.871 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 26.871 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 26.871 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 26.871 * [taylor]: Taking taylor expansion of -1 in b 26.871 * [backup-simplify]: Simplify -1 into -1 26.871 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 26.871 * [taylor]: Taking taylor expansion of PI in b 26.871 * [backup-simplify]: Simplify PI into PI 26.871 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 26.871 * [taylor]: Taking taylor expansion of (/ 1 a) in b 26.871 * [taylor]: Taking taylor expansion of a in b 26.871 * [backup-simplify]: Simplify a into a 26.871 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 26.871 * [taylor]: Taking taylor expansion of (/ 1 b) in b 26.871 * [taylor]: Taking taylor expansion of b in b 26.871 * [backup-simplify]: Simplify 0 into 0 26.871 * [backup-simplify]: Simplify 1 into 1 26.872 * [backup-simplify]: Simplify (/ 1 1) into 1 26.872 * [backup-simplify]: Simplify (+ 0 1) into 1 26.873 * [backup-simplify]: Simplify (/ PI 1) into PI 26.873 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 26.873 * [taylor]: Taking taylor expansion of -1 in a 26.873 * [backup-simplify]: Simplify -1 into -1 26.873 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 26.873 * [taylor]: Taking taylor expansion of PI in a 26.873 * [backup-simplify]: Simplify PI into PI 26.873 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 26.873 * [taylor]: Taking taylor expansion of (/ 1 a) in a 26.873 * [taylor]: Taking taylor expansion of a in a 26.873 * [backup-simplify]: Simplify 0 into 0 26.873 * [backup-simplify]: Simplify 1 into 1 26.873 * [backup-simplify]: Simplify (/ 1 1) into 1 26.873 * [taylor]: Taking taylor expansion of (/ 1 b) in a 26.873 * [taylor]: Taking taylor expansion of b in a 26.873 * [backup-simplify]: Simplify b into b 26.873 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 26.874 * [backup-simplify]: Simplify (+ 1 0) into 1 26.874 * [backup-simplify]: Simplify (/ PI 1) into PI 26.874 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 26.874 * [taylor]: Taking taylor expansion of -1 in a 26.874 * [backup-simplify]: Simplify -1 into -1 26.874 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 26.874 * [taylor]: Taking taylor expansion of PI in a 26.874 * [backup-simplify]: Simplify PI into PI 26.874 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 26.874 * [taylor]: Taking taylor expansion of (/ 1 a) in a 26.874 * [taylor]: Taking taylor expansion of a in a 26.874 * [backup-simplify]: Simplify 0 into 0 26.874 * [backup-simplify]: Simplify 1 into 1 26.874 * [backup-simplify]: Simplify (/ 1 1) into 1 26.874 * [taylor]: Taking taylor expansion of (/ 1 b) in a 26.874 * [taylor]: Taking taylor expansion of b in a 26.874 * [backup-simplify]: Simplify b into b 26.875 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 26.875 * [backup-simplify]: Simplify (+ 1 0) into 1 26.875 * [backup-simplify]: Simplify (/ PI 1) into PI 26.876 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 26.876 * [taylor]: Taking taylor expansion of (* -1 PI) in b 26.876 * [taylor]: Taking taylor expansion of -1 in b 26.876 * [backup-simplify]: Simplify -1 into -1 26.876 * [taylor]: Taking taylor expansion of PI in b 26.876 * [backup-simplify]: Simplify PI into PI 26.876 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 26.876 * [backup-simplify]: Simplify 0 into 0 26.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.877 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 26.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 26.877 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 26.877 * [taylor]: Taking taylor expansion of (/ PI b) in b 26.877 * [taylor]: Taking taylor expansion of PI in b 26.877 * [backup-simplify]: Simplify PI into PI 26.877 * [taylor]: Taking taylor expansion of b in b 26.877 * [backup-simplify]: Simplify 0 into 0 26.877 * [backup-simplify]: Simplify 1 into 1 26.878 * [backup-simplify]: Simplify (/ PI 1) into PI 26.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.879 * [backup-simplify]: Simplify 0 into 0 26.880 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 26.880 * [backup-simplify]: Simplify 0 into 0 26.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 26.881 * [backup-simplify]: Simplify (+ 0 0) into 0 26.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 26.882 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 26.882 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 26.882 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 26.882 * [taylor]: Taking taylor expansion of PI in b 26.882 * [backup-simplify]: Simplify PI into PI 26.882 * [taylor]: Taking taylor expansion of (pow b 2) in b 26.882 * [taylor]: Taking taylor expansion of b in b 26.882 * [backup-simplify]: Simplify 0 into 0 26.882 * [backup-simplify]: Simplify 1 into 1 26.882 * [backup-simplify]: Simplify (* 1 1) into 1 26.882 * [backup-simplify]: Simplify (/ PI 1) into PI 26.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.886 * [backup-simplify]: Simplify (- 0) into 0 26.886 * [backup-simplify]: Simplify 0 into 0 26.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.887 * [backup-simplify]: Simplify 0 into 0 26.888 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 26.888 * [backup-simplify]: Simplify 0 into 0 26.888 * [backup-simplify]: Simplify 0 into 0 26.888 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 26.888 * [backup-simplify]: Simplify (/ (/ (/ PI (+ a b)) 2) a) into (* 1/2 (/ PI (* a (+ a b)))) 26.888 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in (a b) around 0 26.888 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in b 26.888 * [taylor]: Taking taylor expansion of 1/2 in b 26.888 * [backup-simplify]: Simplify 1/2 into 1/2 26.888 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in b 26.888 * [taylor]: Taking taylor expansion of PI in b 26.888 * [backup-simplify]: Simplify PI into PI 26.888 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 26.888 * [taylor]: Taking taylor expansion of a in b 26.888 * [backup-simplify]: Simplify a into a 26.888 * [taylor]: Taking taylor expansion of (+ a b) in b 26.888 * [taylor]: Taking taylor expansion of a in b 26.888 * [backup-simplify]: Simplify a into a 26.888 * [taylor]: Taking taylor expansion of b in b 26.888 * [backup-simplify]: Simplify 0 into 0 26.888 * [backup-simplify]: Simplify 1 into 1 26.888 * [backup-simplify]: Simplify (+ a 0) into a 26.888 * [backup-simplify]: Simplify (* a a) into (pow a 2) 26.888 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 26.888 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 26.888 * [taylor]: Taking taylor expansion of 1/2 in a 26.888 * [backup-simplify]: Simplify 1/2 into 1/2 26.888 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 26.888 * [taylor]: Taking taylor expansion of PI in a 26.888 * [backup-simplify]: Simplify PI into PI 26.888 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 26.888 * [taylor]: Taking taylor expansion of a in a 26.888 * [backup-simplify]: Simplify 0 into 0 26.889 * [backup-simplify]: Simplify 1 into 1 26.889 * [taylor]: Taking taylor expansion of (+ a b) in a 26.889 * [taylor]: Taking taylor expansion of a in a 26.889 * [backup-simplify]: Simplify 0 into 0 26.889 * [backup-simplify]: Simplify 1 into 1 26.889 * [taylor]: Taking taylor expansion of b in a 26.889 * [backup-simplify]: Simplify b into b 26.889 * [backup-simplify]: Simplify (+ 0 b) into b 26.889 * [backup-simplify]: Simplify (* 0 b) into 0 26.889 * [backup-simplify]: Simplify (+ 1 0) into 1 26.889 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 26.889 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 26.889 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 26.889 * [taylor]: Taking taylor expansion of 1/2 in a 26.889 * [backup-simplify]: Simplify 1/2 into 1/2 26.889 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 26.889 * [taylor]: Taking taylor expansion of PI in a 26.889 * [backup-simplify]: Simplify PI into PI 26.889 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 26.889 * [taylor]: Taking taylor expansion of a in a 26.889 * [backup-simplify]: Simplify 0 into 0 26.890 * [backup-simplify]: Simplify 1 into 1 26.890 * [taylor]: Taking taylor expansion of (+ a b) in a 26.890 * [taylor]: Taking taylor expansion of a in a 26.890 * [backup-simplify]: Simplify 0 into 0 26.890 * [backup-simplify]: Simplify 1 into 1 26.890 * [taylor]: Taking taylor expansion of b in a 26.890 * [backup-simplify]: Simplify b into b 26.890 * [backup-simplify]: Simplify (+ 0 b) into b 26.890 * [backup-simplify]: Simplify (* 0 b) into 0 26.895 * [backup-simplify]: Simplify (+ 1 0) into 1 26.896 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 26.896 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 26.896 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 26.896 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 26.896 * [taylor]: Taking taylor expansion of 1/2 in b 26.896 * [backup-simplify]: Simplify 1/2 into 1/2 26.896 * [taylor]: Taking taylor expansion of (/ PI b) in b 26.896 * [taylor]: Taking taylor expansion of PI in b 26.896 * [backup-simplify]: Simplify PI into PI 26.896 * [taylor]: Taking taylor expansion of b in b 26.896 * [backup-simplify]: Simplify 0 into 0 26.896 * [backup-simplify]: Simplify 1 into 1 26.897 * [backup-simplify]: Simplify (/ PI 1) into PI 26.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.898 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 26.898 * [backup-simplify]: Simplify 0 into 0 26.899 * [backup-simplify]: Simplify (+ 0 0) into 0 26.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 b))) into 1 26.900 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 26.900 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 26.900 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 26.900 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 26.900 * [taylor]: Taking taylor expansion of 1/2 in b 26.900 * [backup-simplify]: Simplify 1/2 into 1/2 26.900 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 26.900 * [taylor]: Taking taylor expansion of PI in b 26.900 * [backup-simplify]: Simplify PI into PI 26.900 * [taylor]: Taking taylor expansion of (pow b 2) in b 26.901 * [taylor]: Taking taylor expansion of b in b 26.901 * [backup-simplify]: Simplify 0 into 0 26.901 * [backup-simplify]: Simplify 1 into 1 26.901 * [backup-simplify]: Simplify (* 1 1) into 1 26.902 * [backup-simplify]: Simplify (/ PI 1) into PI 26.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 26.907 * [backup-simplify]: Simplify (- 0) into 0 26.907 * [backup-simplify]: Simplify 0 into 0 26.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 26.909 * [backup-simplify]: Simplify 0 into 0 26.910 * [backup-simplify]: Simplify (+ 0 0) into 0 26.911 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 b)))) into 0 26.912 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 26.912 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 26.912 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 26.912 * [taylor]: Taking taylor expansion of 1/2 in b 26.912 * [backup-simplify]: Simplify 1/2 into 1/2 26.912 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 26.912 * [taylor]: Taking taylor expansion of PI in b 26.912 * [backup-simplify]: Simplify PI into PI 26.912 * [taylor]: Taking taylor expansion of (pow b 3) in b 26.912 * [taylor]: Taking taylor expansion of b in b 26.912 * [backup-simplify]: Simplify 0 into 0 26.912 * [backup-simplify]: Simplify 1 into 1 26.913 * [backup-simplify]: Simplify (* 1 1) into 1 26.913 * [backup-simplify]: Simplify (* 1 1) into 1 26.914 * [backup-simplify]: Simplify (/ PI 1) into PI 26.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 26.924 * [backup-simplify]: Simplify 0 into 0 26.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 26.928 * [backup-simplify]: Simplify (- 0) into 0 26.928 * [backup-simplify]: Simplify 0 into 0 26.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 26.930 * [backup-simplify]: Simplify 0 into 0 26.930 * [backup-simplify]: Simplify 0 into 0 26.931 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2) (/ 1 a)) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 26.931 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 26.931 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 26.931 * [taylor]: Taking taylor expansion of 1/2 in b 26.931 * [backup-simplify]: Simplify 1/2 into 1/2 26.931 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 26.931 * [taylor]: Taking taylor expansion of (* a PI) in b 26.931 * [taylor]: Taking taylor expansion of a in b 26.931 * [backup-simplify]: Simplify a into a 26.931 * [taylor]: Taking taylor expansion of PI in b 26.931 * [backup-simplify]: Simplify PI into PI 26.931 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 26.931 * [taylor]: Taking taylor expansion of (/ 1 a) in b 26.931 * [taylor]: Taking taylor expansion of a in b 26.931 * [backup-simplify]: Simplify a into a 26.931 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 26.931 * [taylor]: Taking taylor expansion of (/ 1 b) in b 26.931 * [taylor]: Taking taylor expansion of b in b 26.931 * [backup-simplify]: Simplify 0 into 0 26.931 * [backup-simplify]: Simplify 1 into 1 26.932 * [backup-simplify]: Simplify (/ 1 1) into 1 26.932 * [backup-simplify]: Simplify (* a PI) into (* a PI) 26.932 * [backup-simplify]: Simplify (+ 0 1) into 1 26.932 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 26.932 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 26.932 * [taylor]: Taking taylor expansion of 1/2 in a 26.932 * [backup-simplify]: Simplify 1/2 into 1/2 26.933 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 26.933 * [taylor]: Taking taylor expansion of (* a PI) in a 26.933 * [taylor]: Taking taylor expansion of a in a 26.933 * [backup-simplify]: Simplify 0 into 0 26.933 * [backup-simplify]: Simplify 1 into 1 26.933 * [taylor]: Taking taylor expansion of PI in a 26.933 * [backup-simplify]: Simplify PI into PI 26.933 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 26.933 * [taylor]: Taking taylor expansion of (/ 1 a) in a 26.933 * [taylor]: Taking taylor expansion of a in a 26.933 * [backup-simplify]: Simplify 0 into 0 26.933 * [backup-simplify]: Simplify 1 into 1 26.933 * [backup-simplify]: Simplify (/ 1 1) into 1 26.933 * [taylor]: Taking taylor expansion of (/ 1 b) in a 26.933 * [taylor]: Taking taylor expansion of b in a 26.933 * [backup-simplify]: Simplify b into b 26.933 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 26.934 * [backup-simplify]: Simplify (* 0 PI) into 0 26.936 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 26.936 * [backup-simplify]: Simplify (+ 1 0) into 1 26.936 * [backup-simplify]: Simplify (/ PI 1) into PI 26.937 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 26.937 * [taylor]: Taking taylor expansion of 1/2 in a 26.937 * [backup-simplify]: Simplify 1/2 into 1/2 26.937 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 26.937 * [taylor]: Taking taylor expansion of (* a PI) in a 26.937 * [taylor]: Taking taylor expansion of a in a 26.937 * [backup-simplify]: Simplify 0 into 0 26.937 * [backup-simplify]: Simplify 1 into 1 26.937 * [taylor]: Taking taylor expansion of PI in a 26.937 * [backup-simplify]: Simplify PI into PI 26.937 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 26.937 * [taylor]: Taking taylor expansion of (/ 1 a) in a 26.937 * [taylor]: Taking taylor expansion of a in a 26.937 * [backup-simplify]: Simplify 0 into 0 26.937 * [backup-simplify]: Simplify 1 into 1 26.937 * [backup-simplify]: Simplify (/ 1 1) into 1 26.937 * [taylor]: Taking taylor expansion of (/ 1 b) in a 26.937 * [taylor]: Taking taylor expansion of b in a 26.937 * [backup-simplify]: Simplify b into b 26.937 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 26.938 * [backup-simplify]: Simplify (* 0 PI) into 0 26.941 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 26.942 * [backup-simplify]: Simplify (+ 1 0) into 1 26.942 * [backup-simplify]: Simplify (/ PI 1) into PI 26.943 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 26.943 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 26.943 * [taylor]: Taking taylor expansion of 1/2 in b 26.943 * [backup-simplify]: Simplify 1/2 into 1/2 26.943 * [taylor]: Taking taylor expansion of PI in b 26.943 * [backup-simplify]: Simplify PI into PI 26.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 26.944 * [backup-simplify]: Simplify 0 into 0 26.945 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 26.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.946 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 26.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 26.947 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 26.947 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 26.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 26.947 * [taylor]: Taking taylor expansion of 1/2 in b 26.947 * [backup-simplify]: Simplify 1/2 into 1/2 26.947 * [taylor]: Taking taylor expansion of (/ PI b) in b 26.948 * [taylor]: Taking taylor expansion of PI in b 26.948 * [backup-simplify]: Simplify PI into PI 26.948 * [taylor]: Taking taylor expansion of b in b 26.948 * [backup-simplify]: Simplify 0 into 0 26.948 * [backup-simplify]: Simplify 1 into 1 26.948 * [backup-simplify]: Simplify (/ PI 1) into PI 26.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 26.952 * [backup-simplify]: Simplify (- 0) into 0 26.952 * [backup-simplify]: Simplify 0 into 0 26.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 26.953 * [backup-simplify]: Simplify 0 into 0 26.954 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 26.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 26.956 * [backup-simplify]: Simplify (+ 0 0) into 0 26.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 26.958 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 26.958 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 26.958 * [taylor]: Taking taylor expansion of 1/2 in b 26.958 * [backup-simplify]: Simplify 1/2 into 1/2 26.958 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 26.958 * [taylor]: Taking taylor expansion of PI in b 26.958 * [backup-simplify]: Simplify PI into PI 26.958 * [taylor]: Taking taylor expansion of (pow b 2) in b 26.958 * [taylor]: Taking taylor expansion of b in b 26.958 * [backup-simplify]: Simplify 0 into 0 26.958 * [backup-simplify]: Simplify 1 into 1 26.958 * [backup-simplify]: Simplify (* 1 1) into 1 26.959 * [backup-simplify]: Simplify (/ PI 1) into PI 26.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 26.966 * [backup-simplify]: Simplify 0 into 0 26.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.968 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 26.968 * [backup-simplify]: Simplify (- 0) into 0 26.968 * [backup-simplify]: Simplify 0 into 0 26.970 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 26.970 * [backup-simplify]: Simplify 0 into 0 26.970 * [backup-simplify]: Simplify 0 into 0 26.970 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ 1 (- a))) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 26.970 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 26.970 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 26.970 * [taylor]: Taking taylor expansion of 1/2 in b 26.970 * [backup-simplify]: Simplify 1/2 into 1/2 26.970 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 26.970 * [taylor]: Taking taylor expansion of (* a PI) in b 26.970 * [taylor]: Taking taylor expansion of a in b 26.970 * [backup-simplify]: Simplify a into a 26.970 * [taylor]: Taking taylor expansion of PI in b 26.970 * [backup-simplify]: Simplify PI into PI 26.970 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 26.970 * [taylor]: Taking taylor expansion of (/ 1 a) in b 26.970 * [taylor]: Taking taylor expansion of a in b 26.970 * [backup-simplify]: Simplify a into a 26.970 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 26.970 * [taylor]: Taking taylor expansion of (/ 1 b) in b 26.970 * [taylor]: Taking taylor expansion of b in b 26.970 * [backup-simplify]: Simplify 0 into 0 26.970 * [backup-simplify]: Simplify 1 into 1 26.971 * [backup-simplify]: Simplify (/ 1 1) into 1 26.971 * [backup-simplify]: Simplify (* a PI) into (* a PI) 26.971 * [backup-simplify]: Simplify (+ 0 1) into 1 26.971 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 26.972 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 26.972 * [taylor]: Taking taylor expansion of 1/2 in a 26.972 * [backup-simplify]: Simplify 1/2 into 1/2 26.972 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 26.972 * [taylor]: Taking taylor expansion of (* a PI) in a 26.972 * [taylor]: Taking taylor expansion of a in a 26.972 * [backup-simplify]: Simplify 0 into 0 26.972 * [backup-simplify]: Simplify 1 into 1 26.972 * [taylor]: Taking taylor expansion of PI in a 26.972 * [backup-simplify]: Simplify PI into PI 26.972 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 26.972 * [taylor]: Taking taylor expansion of (/ 1 a) in a 26.972 * [taylor]: Taking taylor expansion of a in a 26.972 * [backup-simplify]: Simplify 0 into 0 26.972 * [backup-simplify]: Simplify 1 into 1 26.972 * [backup-simplify]: Simplify (/ 1 1) into 1 26.972 * [taylor]: Taking taylor expansion of (/ 1 b) in a 26.972 * [taylor]: Taking taylor expansion of b in a 26.972 * [backup-simplify]: Simplify b into b 26.972 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 26.973 * [backup-simplify]: Simplify (* 0 PI) into 0 26.974 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 26.975 * [backup-simplify]: Simplify (+ 1 0) into 1 26.975 * [backup-simplify]: Simplify (/ PI 1) into PI 26.975 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 26.976 * [taylor]: Taking taylor expansion of 1/2 in a 26.976 * [backup-simplify]: Simplify 1/2 into 1/2 26.976 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 26.976 * [taylor]: Taking taylor expansion of (* a PI) in a 26.976 * [taylor]: Taking taylor expansion of a in a 26.976 * [backup-simplify]: Simplify 0 into 0 26.976 * [backup-simplify]: Simplify 1 into 1 26.976 * [taylor]: Taking taylor expansion of PI in a 26.976 * [backup-simplify]: Simplify PI into PI 26.976 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 26.976 * [taylor]: Taking taylor expansion of (/ 1 a) in a 26.976 * [taylor]: Taking taylor expansion of a in a 26.976 * [backup-simplify]: Simplify 0 into 0 26.976 * [backup-simplify]: Simplify 1 into 1 26.976 * [backup-simplify]: Simplify (/ 1 1) into 1 26.976 * [taylor]: Taking taylor expansion of (/ 1 b) in a 26.976 * [taylor]: Taking taylor expansion of b in a 26.976 * [backup-simplify]: Simplify b into b 26.976 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 26.977 * [backup-simplify]: Simplify (* 0 PI) into 0 26.978 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 26.979 * [backup-simplify]: Simplify (+ 1 0) into 1 26.979 * [backup-simplify]: Simplify (/ PI 1) into PI 26.980 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 26.980 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 26.980 * [taylor]: Taking taylor expansion of 1/2 in b 26.980 * [backup-simplify]: Simplify 1/2 into 1/2 26.980 * [taylor]: Taking taylor expansion of PI in b 26.980 * [backup-simplify]: Simplify PI into PI 26.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 26.981 * [backup-simplify]: Simplify 0 into 0 26.982 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 26.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.983 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 26.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 26.984 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 26.984 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 26.984 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 26.984 * [taylor]: Taking taylor expansion of 1/2 in b 26.984 * [backup-simplify]: Simplify 1/2 into 1/2 26.984 * [taylor]: Taking taylor expansion of (/ PI b) in b 26.984 * [taylor]: Taking taylor expansion of PI in b 26.985 * [backup-simplify]: Simplify PI into PI 26.985 * [taylor]: Taking taylor expansion of b in b 26.985 * [backup-simplify]: Simplify 0 into 0 26.985 * [backup-simplify]: Simplify 1 into 1 26.985 * [backup-simplify]: Simplify (/ PI 1) into PI 26.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 26.988 * [backup-simplify]: Simplify (- 0) into 0 26.989 * [backup-simplify]: Simplify 0 into 0 26.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 26.990 * [backup-simplify]: Simplify 0 into 0 26.991 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 26.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 26.992 * [backup-simplify]: Simplify (+ 0 0) into 0 26.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 26.994 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 26.994 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 26.994 * [taylor]: Taking taylor expansion of 1/2 in b 26.994 * [backup-simplify]: Simplify 1/2 into 1/2 26.994 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 26.994 * [taylor]: Taking taylor expansion of PI in b 26.994 * [backup-simplify]: Simplify PI into PI 26.994 * [taylor]: Taking taylor expansion of (pow b 2) in b 26.995 * [taylor]: Taking taylor expansion of b in b 26.995 * [backup-simplify]: Simplify 0 into 0 26.995 * [backup-simplify]: Simplify 1 into 1 26.995 * [backup-simplify]: Simplify (* 1 1) into 1 26.995 * [backup-simplify]: Simplify (/ PI 1) into PI 26.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.002 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.002 * [backup-simplify]: Simplify 0 into 0 27.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.005 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.005 * [backup-simplify]: Simplify (- 0) into 0 27.005 * [backup-simplify]: Simplify 0 into 0 27.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.006 * [backup-simplify]: Simplify 0 into 0 27.006 * [backup-simplify]: Simplify 0 into 0 27.006 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 27.007 * [backup-simplify]: Simplify (/ (/ (* PI (/ 1 (+ a b))) 2) b) into (* 1/2 (/ PI (* b (+ a b)))) 27.007 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in (a b) around 0 27.007 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in b 27.007 * [taylor]: Taking taylor expansion of 1/2 in b 27.007 * [backup-simplify]: Simplify 1/2 into 1/2 27.007 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in b 27.007 * [taylor]: Taking taylor expansion of PI in b 27.007 * [backup-simplify]: Simplify PI into PI 27.007 * [taylor]: Taking taylor expansion of (* b (+ a b)) in b 27.007 * [taylor]: Taking taylor expansion of b in b 27.007 * [backup-simplify]: Simplify 0 into 0 27.007 * [backup-simplify]: Simplify 1 into 1 27.007 * [taylor]: Taking taylor expansion of (+ a b) in b 27.007 * [taylor]: Taking taylor expansion of a in b 27.007 * [backup-simplify]: Simplify a into a 27.007 * [taylor]: Taking taylor expansion of b in b 27.007 * [backup-simplify]: Simplify 0 into 0 27.007 * [backup-simplify]: Simplify 1 into 1 27.007 * [backup-simplify]: Simplify (+ a 0) into a 27.007 * [backup-simplify]: Simplify (* 0 a) into 0 27.008 * [backup-simplify]: Simplify (+ 0 1) into 1 27.008 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 a)) into a 27.008 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 27.008 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in a 27.008 * [taylor]: Taking taylor expansion of 1/2 in a 27.008 * [backup-simplify]: Simplify 1/2 into 1/2 27.008 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in a 27.008 * [taylor]: Taking taylor expansion of PI in a 27.008 * [backup-simplify]: Simplify PI into PI 27.008 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 27.008 * [taylor]: Taking taylor expansion of b in a 27.008 * [backup-simplify]: Simplify b into b 27.008 * [taylor]: Taking taylor expansion of (+ a b) in a 27.008 * [taylor]: Taking taylor expansion of a in a 27.008 * [backup-simplify]: Simplify 0 into 0 27.008 * [backup-simplify]: Simplify 1 into 1 27.009 * [taylor]: Taking taylor expansion of b in a 27.009 * [backup-simplify]: Simplify b into b 27.009 * [backup-simplify]: Simplify (+ 0 b) into b 27.009 * [backup-simplify]: Simplify (* b b) into (pow b 2) 27.009 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 27.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in a 27.009 * [taylor]: Taking taylor expansion of 1/2 in a 27.009 * [backup-simplify]: Simplify 1/2 into 1/2 27.009 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in a 27.009 * [taylor]: Taking taylor expansion of PI in a 27.009 * [backup-simplify]: Simplify PI into PI 27.009 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 27.009 * [taylor]: Taking taylor expansion of b in a 27.009 * [backup-simplify]: Simplify b into b 27.009 * [taylor]: Taking taylor expansion of (+ a b) in a 27.009 * [taylor]: Taking taylor expansion of a in a 27.009 * [backup-simplify]: Simplify 0 into 0 27.009 * [backup-simplify]: Simplify 1 into 1 27.009 * [taylor]: Taking taylor expansion of b in a 27.009 * [backup-simplify]: Simplify b into b 27.009 * [backup-simplify]: Simplify (+ 0 b) into b 27.009 * [backup-simplify]: Simplify (* b b) into (pow b 2) 27.009 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 27.010 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 27.010 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 27.010 * [taylor]: Taking taylor expansion of 1/2 in b 27.010 * [backup-simplify]: Simplify 1/2 into 1/2 27.010 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 27.010 * [taylor]: Taking taylor expansion of PI in b 27.010 * [backup-simplify]: Simplify PI into PI 27.010 * [taylor]: Taking taylor expansion of (pow b 2) in b 27.010 * [taylor]: Taking taylor expansion of b in b 27.010 * [backup-simplify]: Simplify 0 into 0 27.010 * [backup-simplify]: Simplify 1 into 1 27.010 * [backup-simplify]: Simplify (* 1 1) into 1 27.011 * [backup-simplify]: Simplify (/ PI 1) into PI 27.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 27.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 27.013 * [backup-simplify]: Simplify 0 into 0 27.014 * [backup-simplify]: Simplify (+ 1 0) into 1 27.014 * [backup-simplify]: Simplify (+ (* b 1) (* 0 b)) into b 27.014 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ b (pow b 2))))) into (- (/ PI (pow b 3))) 27.014 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 27.014 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 27.014 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 27.014 * [taylor]: Taking taylor expansion of 1/2 in b 27.014 * [backup-simplify]: Simplify 1/2 into 1/2 27.014 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 27.014 * [taylor]: Taking taylor expansion of PI in b 27.014 * [backup-simplify]: Simplify PI into PI 27.015 * [taylor]: Taking taylor expansion of (pow b 3) in b 27.015 * [taylor]: Taking taylor expansion of b in b 27.015 * [backup-simplify]: Simplify 0 into 0 27.015 * [backup-simplify]: Simplify 1 into 1 27.015 * [backup-simplify]: Simplify (* 1 1) into 1 27.015 * [backup-simplify]: Simplify (* 1 1) into 1 27.016 * [backup-simplify]: Simplify (/ PI 1) into PI 27.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 27.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.022 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 27.022 * [backup-simplify]: Simplify (- 0) into 0 27.022 * [backup-simplify]: Simplify 0 into 0 27.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.025 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 27.025 * [backup-simplify]: Simplify 0 into 0 27.026 * [backup-simplify]: Simplify (+ 0 0) into 0 27.026 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 1) (* 0 b))) into 0 27.027 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))) (* (- (/ PI (pow b 3))) (/ b (pow b 2))))) into (/ PI (pow b 4)) 27.027 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 4))) (+ (* 0 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 27.027 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 27.027 * [taylor]: Taking taylor expansion of 1/2 in b 27.027 * [backup-simplify]: Simplify 1/2 into 1/2 27.027 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 27.027 * [taylor]: Taking taylor expansion of PI in b 27.027 * [backup-simplify]: Simplify PI into PI 27.027 * [taylor]: Taking taylor expansion of (pow b 4) in b 27.027 * [taylor]: Taking taylor expansion of b in b 27.028 * [backup-simplify]: Simplify 0 into 0 27.028 * [backup-simplify]: Simplify 1 into 1 27.028 * [backup-simplify]: Simplify (* 1 1) into 1 27.029 * [backup-simplify]: Simplify (* 1 1) into 1 27.029 * [backup-simplify]: Simplify (/ PI 1) into PI 27.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 27.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.039 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.039 * [backup-simplify]: Simplify 0 into 0 27.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.044 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.044 * [backup-simplify]: Simplify (- 0) into 0 27.044 * [backup-simplify]: Simplify 0 into 0 27.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.055 * [backup-simplify]: Simplify 0 into 0 27.055 * [backup-simplify]: Simplify 0 into 0 27.056 * [backup-simplify]: Simplify (/ (/ (* PI (/ 1 (+ (/ 1 a) (/ 1 b)))) 2) (/ 1 b)) into (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) 27.056 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 27.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in b 27.056 * [taylor]: Taking taylor expansion of 1/2 in b 27.056 * [backup-simplify]: Simplify 1/2 into 1/2 27.056 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in b 27.056 * [taylor]: Taking taylor expansion of (* b PI) in b 27.056 * [taylor]: Taking taylor expansion of b in b 27.056 * [backup-simplify]: Simplify 0 into 0 27.056 * [backup-simplify]: Simplify 1 into 1 27.056 * [taylor]: Taking taylor expansion of PI in b 27.056 * [backup-simplify]: Simplify PI into PI 27.056 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 27.056 * [taylor]: Taking taylor expansion of (/ 1 a) in b 27.056 * [taylor]: Taking taylor expansion of a in b 27.056 * [backup-simplify]: Simplify a into a 27.056 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 27.056 * [taylor]: Taking taylor expansion of (/ 1 b) in b 27.056 * [taylor]: Taking taylor expansion of b in b 27.056 * [backup-simplify]: Simplify 0 into 0 27.056 * [backup-simplify]: Simplify 1 into 1 27.057 * [backup-simplify]: Simplify (/ 1 1) into 1 27.057 * [backup-simplify]: Simplify (* 0 PI) into 0 27.059 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 27.059 * [backup-simplify]: Simplify (+ 0 1) into 1 27.060 * [backup-simplify]: Simplify (/ PI 1) into PI 27.060 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 27.060 * [taylor]: Taking taylor expansion of 1/2 in a 27.060 * [backup-simplify]: Simplify 1/2 into 1/2 27.060 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 27.060 * [taylor]: Taking taylor expansion of (* b PI) in a 27.060 * [taylor]: Taking taylor expansion of b in a 27.060 * [backup-simplify]: Simplify b into b 27.060 * [taylor]: Taking taylor expansion of PI in a 27.060 * [backup-simplify]: Simplify PI into PI 27.060 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 27.060 * [taylor]: Taking taylor expansion of (/ 1 a) in a 27.060 * [taylor]: Taking taylor expansion of a in a 27.060 * [backup-simplify]: Simplify 0 into 0 27.060 * [backup-simplify]: Simplify 1 into 1 27.061 * [backup-simplify]: Simplify (/ 1 1) into 1 27.061 * [taylor]: Taking taylor expansion of (/ 1 b) in a 27.061 * [taylor]: Taking taylor expansion of b in a 27.061 * [backup-simplify]: Simplify b into b 27.061 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 27.061 * [backup-simplify]: Simplify (* b PI) into (* PI b) 27.061 * [backup-simplify]: Simplify (+ 1 0) into 1 27.061 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 27.061 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 27.061 * [taylor]: Taking taylor expansion of 1/2 in a 27.061 * [backup-simplify]: Simplify 1/2 into 1/2 27.061 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 27.061 * [taylor]: Taking taylor expansion of (* b PI) in a 27.062 * [taylor]: Taking taylor expansion of b in a 27.062 * [backup-simplify]: Simplify b into b 27.062 * [taylor]: Taking taylor expansion of PI in a 27.062 * [backup-simplify]: Simplify PI into PI 27.062 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 27.062 * [taylor]: Taking taylor expansion of (/ 1 a) in a 27.062 * [taylor]: Taking taylor expansion of a in a 27.062 * [backup-simplify]: Simplify 0 into 0 27.062 * [backup-simplify]: Simplify 1 into 1 27.062 * [backup-simplify]: Simplify (/ 1 1) into 1 27.062 * [taylor]: Taking taylor expansion of (/ 1 b) in a 27.062 * [taylor]: Taking taylor expansion of b in a 27.062 * [backup-simplify]: Simplify b into b 27.062 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 27.062 * [backup-simplify]: Simplify (* b PI) into (* PI b) 27.063 * [backup-simplify]: Simplify (+ 1 0) into 1 27.063 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 27.063 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 27.063 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 27.063 * [taylor]: Taking taylor expansion of 1/2 in b 27.063 * [backup-simplify]: Simplify 1/2 into 1/2 27.063 * [taylor]: Taking taylor expansion of (* PI b) in b 27.063 * [taylor]: Taking taylor expansion of PI in b 27.063 * [backup-simplify]: Simplify PI into PI 27.063 * [taylor]: Taking taylor expansion of b in b 27.063 * [backup-simplify]: Simplify 0 into 0 27.063 * [backup-simplify]: Simplify 1 into 1 27.065 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 27.067 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 27.067 * [backup-simplify]: Simplify (* PI 0) into 0 27.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 27.069 * [backup-simplify]: Simplify 0 into 0 27.069 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 27.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.070 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 27.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 27.072 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 27.072 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 27.072 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 27.072 * [taylor]: Taking taylor expansion of 1/2 in b 27.072 * [backup-simplify]: Simplify 1/2 into 1/2 27.072 * [taylor]: Taking taylor expansion of PI in b 27.072 * [backup-simplify]: Simplify PI into PI 27.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 27.074 * [backup-simplify]: Simplify (- 0) into 0 27.074 * [backup-simplify]: Simplify 0 into 0 27.075 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 27.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 27.076 * [backup-simplify]: Simplify 0 into 0 27.077 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 27.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 27.078 * [backup-simplify]: Simplify (+ 0 0) into 0 27.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 27.081 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 27.081 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 27.081 * [taylor]: Taking taylor expansion of 1/2 in b 27.081 * [backup-simplify]: Simplify 1/2 into 1/2 27.081 * [taylor]: Taking taylor expansion of (/ PI b) in b 27.081 * [taylor]: Taking taylor expansion of PI in b 27.081 * [backup-simplify]: Simplify PI into PI 27.081 * [taylor]: Taking taylor expansion of b in b 27.081 * [backup-simplify]: Simplify 0 into 0 27.081 * [backup-simplify]: Simplify 1 into 1 27.081 * [backup-simplify]: Simplify (/ PI 1) into PI 27.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 27.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.086 * [backup-simplify]: Simplify 0 into 0 27.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.088 * [backup-simplify]: Simplify (- 0) into 0 27.089 * [backup-simplify]: Simplify 0 into 0 27.090 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 27.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 27.091 * [backup-simplify]: Simplify 0 into 0 27.091 * [backup-simplify]: Simplify 0 into 0 27.092 * [backup-simplify]: Simplify (/ (/ (* PI (/ 1 (+ (/ 1 (- a)) (/ 1 (- b))))) 2) (/ 1 (- b))) into (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) 27.092 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 27.092 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in b 27.092 * [taylor]: Taking taylor expansion of 1/2 in b 27.092 * [backup-simplify]: Simplify 1/2 into 1/2 27.092 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in b 27.092 * [taylor]: Taking taylor expansion of (* b PI) in b 27.092 * [taylor]: Taking taylor expansion of b in b 27.092 * [backup-simplify]: Simplify 0 into 0 27.092 * [backup-simplify]: Simplify 1 into 1 27.092 * [taylor]: Taking taylor expansion of PI in b 27.092 * [backup-simplify]: Simplify PI into PI 27.092 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 27.092 * [taylor]: Taking taylor expansion of (/ 1 a) in b 27.092 * [taylor]: Taking taylor expansion of a in b 27.092 * [backup-simplify]: Simplify a into a 27.092 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 27.092 * [taylor]: Taking taylor expansion of (/ 1 b) in b 27.092 * [taylor]: Taking taylor expansion of b in b 27.092 * [backup-simplify]: Simplify 0 into 0 27.092 * [backup-simplify]: Simplify 1 into 1 27.093 * [backup-simplify]: Simplify (/ 1 1) into 1 27.093 * [backup-simplify]: Simplify (* 0 PI) into 0 27.095 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 27.095 * [backup-simplify]: Simplify (+ 0 1) into 1 27.096 * [backup-simplify]: Simplify (/ PI 1) into PI 27.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 27.096 * [taylor]: Taking taylor expansion of 1/2 in a 27.096 * [backup-simplify]: Simplify 1/2 into 1/2 27.096 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 27.096 * [taylor]: Taking taylor expansion of (* b PI) in a 27.096 * [taylor]: Taking taylor expansion of b in a 27.096 * [backup-simplify]: Simplify b into b 27.096 * [taylor]: Taking taylor expansion of PI in a 27.096 * [backup-simplify]: Simplify PI into PI 27.096 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 27.096 * [taylor]: Taking taylor expansion of (/ 1 a) in a 27.096 * [taylor]: Taking taylor expansion of a in a 27.096 * [backup-simplify]: Simplify 0 into 0 27.096 * [backup-simplify]: Simplify 1 into 1 27.097 * [backup-simplify]: Simplify (/ 1 1) into 1 27.097 * [taylor]: Taking taylor expansion of (/ 1 b) in a 27.097 * [taylor]: Taking taylor expansion of b in a 27.097 * [backup-simplify]: Simplify b into b 27.097 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 27.097 * [backup-simplify]: Simplify (* b PI) into (* PI b) 27.097 * [backup-simplify]: Simplify (+ 1 0) into 1 27.097 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 27.097 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 27.097 * [taylor]: Taking taylor expansion of 1/2 in a 27.097 * [backup-simplify]: Simplify 1/2 into 1/2 27.097 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 27.098 * [taylor]: Taking taylor expansion of (* b PI) in a 27.098 * [taylor]: Taking taylor expansion of b in a 27.098 * [backup-simplify]: Simplify b into b 27.098 * [taylor]: Taking taylor expansion of PI in a 27.098 * [backup-simplify]: Simplify PI into PI 27.098 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 27.098 * [taylor]: Taking taylor expansion of (/ 1 a) in a 27.098 * [taylor]: Taking taylor expansion of a in a 27.098 * [backup-simplify]: Simplify 0 into 0 27.098 * [backup-simplify]: Simplify 1 into 1 27.098 * [backup-simplify]: Simplify (/ 1 1) into 1 27.098 * [taylor]: Taking taylor expansion of (/ 1 b) in a 27.098 * [taylor]: Taking taylor expansion of b in a 27.098 * [backup-simplify]: Simplify b into b 27.098 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 27.098 * [backup-simplify]: Simplify (* b PI) into (* PI b) 27.099 * [backup-simplify]: Simplify (+ 1 0) into 1 27.099 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 27.099 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 27.099 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 27.099 * [taylor]: Taking taylor expansion of 1/2 in b 27.099 * [backup-simplify]: Simplify 1/2 into 1/2 27.099 * [taylor]: Taking taylor expansion of (* PI b) in b 27.099 * [taylor]: Taking taylor expansion of PI in b 27.099 * [backup-simplify]: Simplify PI into PI 27.099 * [taylor]: Taking taylor expansion of b in b 27.099 * [backup-simplify]: Simplify 0 into 0 27.099 * [backup-simplify]: Simplify 1 into 1 27.100 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 27.102 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 27.102 * [backup-simplify]: Simplify (* PI 0) into 0 27.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 27.103 * [backup-simplify]: Simplify 0 into 0 27.104 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 27.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.105 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 27.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 27.106 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 27.106 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 27.106 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 27.106 * [taylor]: Taking taylor expansion of 1/2 in b 27.106 * [backup-simplify]: Simplify 1/2 into 1/2 27.107 * [taylor]: Taking taylor expansion of PI in b 27.107 * [backup-simplify]: Simplify PI into PI 27.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 27.108 * [backup-simplify]: Simplify (- 0) into 0 27.108 * [backup-simplify]: Simplify 0 into 0 27.109 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 27.110 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 27.110 * [backup-simplify]: Simplify 0 into 0 27.111 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 27.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 27.112 * [backup-simplify]: Simplify (+ 0 0) into 0 27.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 27.113 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 27.113 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 27.113 * [taylor]: Taking taylor expansion of 1/2 in b 27.113 * [backup-simplify]: Simplify 1/2 into 1/2 27.113 * [taylor]: Taking taylor expansion of (/ PI b) in b 27.113 * [taylor]: Taking taylor expansion of PI in b 27.113 * [backup-simplify]: Simplify PI into PI 27.113 * [taylor]: Taking taylor expansion of b in b 27.113 * [backup-simplify]: Simplify 0 into 0 27.113 * [backup-simplify]: Simplify 1 into 1 27.114 * [backup-simplify]: Simplify (/ PI 1) into PI 27.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 27.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.116 * [backup-simplify]: Simplify 0 into 0 27.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.117 * [backup-simplify]: Simplify (- 0) into 0 27.117 * [backup-simplify]: Simplify 0 into 0 27.118 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 27.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 27.119 * [backup-simplify]: Simplify 0 into 0 27.119 * [backup-simplify]: Simplify 0 into 0 27.119 * * * [progress]: simplifying candidates 27.119 * * * * [progress]: [ 1 / 394 ] simplifiying candidate # 27.119 * * * * [progress]: [ 2 / 394 ] simplifiying candidate # 27.119 * * * * [progress]: [ 3 / 394 ] simplifiying candidate # 27.119 * * * * [progress]: [ 4 / 394 ] simplifiying candidate # 27.120 * * * * [progress]: [ 5 / 394 ] simplifiying candidate # 27.120 * * * * [progress]: [ 6 / 394 ] simplifiying candidate # 27.120 * * * * [progress]: [ 7 / 394 ] simplifiying candidate # 27.120 * * * * [progress]: [ 8 / 394 ] simplifiying candidate # 27.120 * * * * [progress]: [ 9 / 394 ] simplifiying candidate # 27.120 * * * * [progress]: [ 10 / 394 ] simplifiying candidate # 27.120 * * * * [progress]: [ 11 / 394 ] simplifiying candidate # 27.120 * * * * [progress]: [ 12 / 394 ] simplifiying candidate # 27.120 * * * * [progress]: [ 13 / 394 ] simplifiying candidate # 27.120 * * * * [progress]: [ 14 / 394 ] simplifiying candidate # 27.120 * * * * [progress]: [ 15 / 394 ] simplifiying candidate # 27.120 * * * * [progress]: [ 16 / 394 ] simplifiying candidate # 27.120 * * * * [progress]: [ 17 / 394 ] simplifiying candidate # 27.120 * * * * [progress]: [ 18 / 394 ] 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27.121 * * * * [progress]: [ 34 / 394 ] simplifiying candidate # 27.121 * * * * [progress]: [ 35 / 394 ] simplifiying candidate # 27.121 * * * * [progress]: [ 36 / 394 ] simplifiying candidate # 27.121 * * * * [progress]: [ 37 / 394 ] simplifiying candidate # 27.121 * * * * [progress]: [ 38 / 394 ] simplifiying candidate # 27.121 * * * * [progress]: [ 39 / 394 ] simplifiying candidate # 27.121 * * * * [progress]: [ 40 / 394 ] simplifiying candidate # 27.121 * * * * [progress]: [ 41 / 394 ] simplifiying candidate #real (real->posit16 (* PI (/ 1 (+ a b))))) 2) b))) (- b a)))> 27.121 * * * * [progress]: [ 42 / 394 ] simplifiying candidate # 27.121 * * * * [progress]: [ 43 / 394 ] simplifiying candidate # 27.121 * * * * [progress]: [ 44 / 394 ] simplifiying candidate # 27.121 * * * * [progress]: [ 45 / 394 ] simplifiying candidate # 27.121 * * * * [progress]: [ 46 / 394 ] simplifiying candidate # 27.121 * * * * [progress]: [ 47 / 394 ] simplifiying candidate # 27.121 * * * * [progress]: [ 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candidate # 27.122 * * * * [progress]: [ 64 / 394 ] simplifiying candidate # 27.122 * * * * [progress]: [ 65 / 394 ] simplifiying candidate # 27.122 * * * * [progress]: [ 66 / 394 ] simplifiying candidate # 27.122 * * * * [progress]: [ 67 / 394 ] simplifiying candidate # 27.122 * * * * [progress]: [ 68 / 394 ] simplifiying candidate # 27.122 * * * * [progress]: [ 69 / 394 ] simplifiying candidate # 27.122 * * * * [progress]: [ 70 / 394 ] simplifiying candidate # 27.122 * * * * [progress]: [ 71 / 394 ] simplifiying candidate # 27.122 * * * * [progress]: [ 72 / 394 ] simplifiying candidate # 27.123 * * * * [progress]: [ 73 / 394 ] simplifiying candidate # 27.123 * * * * [progress]: [ 74 / 394 ] simplifiying candidate # 27.123 * * * * [progress]: [ 75 / 394 ] simplifiying candidate # 27.123 * * * * [progress]: [ 76 / 394 ] simplifiying candidate #real (real->posit16 (/ PI (+ a b)))) 2) a) (- (/ (/ (* PI (/ 1 (+ a b))) 2) b))) (- b a)))> 27.123 * * * * [progress]: [ 77 / 394 ] simplifiying candidate # 27.123 * * * * [progress]: [ 78 / 394 ] simplifiying candidate # 27.123 * * * * [progress]: [ 79 / 394 ] simplifiying candidate # 27.123 * * * * [progress]: [ 80 / 394 ] simplifiying candidate # 27.123 * * * * [progress]: [ 81 / 394 ] simplifiying candidate # 27.123 * * * * [progress]: [ 82 / 394 ] simplifiying candidate # 27.123 * * * * [progress]: [ 83 / 394 ] simplifiying candidate # 27.123 * * * * [progress]: [ 84 / 394 ] simplifiying candidate # 27.123 * * * * [progress]: [ 85 / 394 ] simplifiying candidate # 27.123 * * * * [progress]: [ 86 / 394 ] simplifiying candidate # 27.123 * * * * [progress]: [ 87 / 394 ] simplifiying candidate # 27.123 * * * * [progress]: [ 88 / 394 ] simplifiying candidate # 27.123 * * * * [progress]: [ 89 / 394 ] simplifiying candidate # 27.123 * * * * [progress]: [ 90 / 394 ] simplifiying candidate # 27.123 * * * * [progress]: [ 91 / 394 ] simplifiying candidate # 27.123 * * * * [progress]: [ 92 / 394 ] simplifiying candidate # 27.123 * * * 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108 / 394 ] simplifiying candidate # 27.125 * * * * [progress]: [ 109 / 394 ] simplifiying candidate # 27.125 * * * * [progress]: [ 110 / 394 ] simplifiying candidate # 27.125 * * * * [progress]: [ 111 / 394 ] simplifiying candidate # 27.125 * * * * [progress]: [ 112 / 394 ] simplifiying candidate # 27.125 * * * * [progress]: [ 113 / 394 ] simplifiying candidate # 27.125 * * * * [progress]: [ 114 / 394 ] simplifiying candidate # 27.125 * * * * [progress]: [ 115 / 394 ] simplifiying candidate # 27.125 * * * * [progress]: [ 116 / 394 ] simplifiying candidate # 27.125 * * * * [progress]: [ 117 / 394 ] simplifiying candidate # 27.125 * * * * [progress]: [ 118 / 394 ] simplifiying candidate # 27.125 * * * * [progress]: [ 119 / 394 ] simplifiying candidate # 27.125 * * * * [progress]: [ 120 / 394 ] simplifiying candidate # 27.126 * * * * [progress]: [ 121 / 394 ] simplifiying candidate # 27.126 * * * * [progress]: [ 122 / 394 ] simplifiying candidate # 27.126 * * * * [progress]: [ 123 / 394 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b)))) (* (sqrt PI) (/ 1 (sqrt (+ a b)))) (* (sqrt PI) (/ 1 (sqrt (+ a b)))) (* PI (* (cbrt (/ 1 (+ a b))) (cbrt (/ 1 (+ a b))))) (* PI (sqrt (/ 1 (+ a b)))) (* PI (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ a b)) (cbrt (+ a b))))) (* PI (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ a b)))) (* PI (/ (* (cbrt 1) (cbrt 1)) 1)) (* PI (/ (* (cbrt 1) (cbrt 1)) 1)) (* PI (/ (sqrt 1) (* (cbrt (+ a b)) (cbrt (+ a b))))) (* PI (/ (sqrt 1) (sqrt (+ a b)))) (* PI (/ (sqrt 1) 1)) (* PI (/ (sqrt 1) 1)) (* PI (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b))))) (* PI (/ 1 (sqrt (+ a b)))) (* PI (/ 1 1)) (* PI (/ 1 1)) (* PI 1) (* PI 1) (* PI (/ 1 (+ (pow a 3) (pow b 3)))) (* PI (/ 1 (- (* a a) (* b b)))) (* (cbrt PI) (/ 1 (+ a b))) (* (sqrt PI) (/ 1 (+ a b))) (* PI (/ 1 (+ a b))) (* PI 1) (real->posit16 (* PI (/ 1 (+ a b)))) (- (log PI) (log (+ a b))) (log (/ PI (+ a b))) (exp (/ PI (+ a b))) (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (cbrt (/ PI (+ a b))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (- PI) (- (+ a b)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt PI) (cbrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) (/ (cbrt PI) (sqrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (sqrt PI) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt PI) (cbrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ PI (sqrt (+ a b))) (/ 1 1) (/ PI (+ a b)) (/ 1 1) (/ PI (+ a b)) (/ 1 (+ a b)) (/ (+ a b) PI) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (sqrt (+ a b))) (/ PI 1) (/ PI 1) (/ (+ a b) (cbrt PI)) (/ (+ a b) (sqrt PI)) (/ (+ a b) PI) (/ PI (+ (pow a 3) (pow b 3))) (/ PI (- (* a a) (* b b))) (real->posit16 (/ PI (+ a b))) (- (- (- (log 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(/ (/ PI (+ a b)) 2)) (cbrt (/ (/ PI (+ a b)) 2))) 1) (/ (cbrt (/ (/ PI (+ a b)) 2)) a) (/ (sqrt (/ (/ PI (+ a b)) 2)) (* (cbrt a) (cbrt a))) (/ (sqrt (/ (/ PI (+ a b)) 2)) (cbrt a)) (/ (sqrt (/ (/ PI (+ a b)) 2)) (sqrt a)) (/ (sqrt (/ (/ PI (+ a b)) 2)) (sqrt a)) (/ (sqrt (/ (/ PI (+ a b)) 2)) 1) (/ (sqrt (/ (/ PI (+ a b)) 2)) a) (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt 2) (cbrt 2))) (* (cbrt a) (cbrt a))) (/ (/ (cbrt (/ PI (+ a b))) (cbrt 2)) (cbrt a)) (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt 2) (cbrt 2))) (sqrt a)) (/ (/ (cbrt (/ PI (+ a b))) (cbrt 2)) (sqrt a)) (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (cbrt (/ PI (+ a b))) (cbrt 2)) a) (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt 2)) (* (cbrt a) (cbrt a))) (/ (/ (cbrt (/ PI (+ a b))) (sqrt 2)) (cbrt a)) (/ (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt 2)) (sqrt a)) (/ (/ (cbrt (/ PI (+ a b))) (sqrt 2)) (sqrt a)) (/ (/ 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(/ 1 2) b) (/ 1 b) (/ b (/ (* PI (/ 1 (+ a b))) 2)) (/ (/ (* PI (/ 1 (+ a b))) 2) (* (cbrt b) (cbrt b))) (/ (/ (* PI (/ 1 (+ a b))) 2) (sqrt b)) (/ (/ (* PI (/ 1 (+ a b))) 2) 1) (/ b (cbrt (/ (* PI (/ 1 (+ a b))) 2))) (/ b (sqrt (/ (* PI (/ 1 (+ a b))) 2))) (/ b (/ (/ 1 (+ a b)) (cbrt 2))) (/ b (/ (/ 1 (+ a b)) (sqrt 2))) (/ b (/ (/ 1 (+ a b)) 2)) (/ b (/ (* PI (/ 1 (+ a b))) 2)) (/ b (/ 1 2)) (* b 2) (real->posit16 (/ (/ (* PI (/ 1 (+ a b))) 2) b)) 0 0 0 0 0 0 0 0 0 0 0 0 27.169 * * [simplify]: iteration 0: 660 enodes 27.461 * * [simplify]: iteration 1: 1543 enodes 28.224 * * [simplify]: iteration 2: 4221 enodes 29.124 * * [simplify]: iteration complete: 5343 enodes 29.125 * * [simplify]: Extracting #0: cost 400 inf + 0 29.131 * * [simplify]: Extracting #1: cost 1456 inf + 85 29.141 * * [simplify]: Extracting #2: cost 2235 inf + 3860 29.172 * * [simplify]: Extracting #3: cost 1557 inf + 129077 29.247 * * [simplify]: Extracting #4: cost 307 inf + 409939 29.345 * * [simplify]: 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(* b (cbrt 2)) (/ 1 (+ a b))) (/ (* b (sqrt 2)) (/ 1 (+ a b))) (/ b (/ 1/2 (+ a b))) (/ (* b 2) (/ PI (+ a b))) (/ b 1/2) (/ b 1/2) (real->posit16 (/ (/ (/ PI (+ a b)) 2) b)) 0 0 0 0 0 0 0 0 0 0 0 0 29.661 * * * [progress]: adding candidates to table 32.098 * [progress]: [Phase 3 of 3] Extracting. 32.098 * * [regime]: Finding splitpoints for: (# # # # # #) 32.102 * * * [regime-changes]: Trying 3 branch expressions: ((* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) b a) 32.103 * * * * [regimes]: Trying to branch on (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) from (# # # # # #) 32.184 * * * * [regimes]: Trying to branch on b from (# # # # # #) 32.240 * * * * [regimes]: Trying to branch on a from (# # # # # #) 32.282 * * * [regime]: Found split indices: #