18.492 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.078 * * * [progress]: [2/2] Setting up program. 0.083 * [progress]: [Phase 2 of 3] Improving. 0.083 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.084 * [simplify]: Simplifying: (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) 0.084 * * [simplify]: iteration 1: (15 enodes) 0.090 * * [simplify]: iteration 2: (30 enodes) 0.101 * * [simplify]: iteration 3: (92 enodes) 0.143 * * [simplify]: iteration 4: (350 enodes) 0.427 * * [simplify]: iteration 5: (1336 enodes) 2.353 * * [simplify]: Extracting #0: cost 1 inf + 0 2.354 * * [simplify]: Extracting #1: cost 155 inf + 0 2.356 * * [simplify]: Extracting #2: cost 777 inf + 88 2.363 * * [simplify]: Extracting #3: cost 965 inf + 20426 2.403 * * [simplify]: Extracting #4: cost 178 inf + 158250 2.468 * * [simplify]: Extracting #5: cost 2 inf + 194386 2.524 * * [simplify]: Extracting #6: cost 0 inf + 194794 2.604 * [simplify]: Simplified to: (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a))) 2.615 * * [progress]: iteration 1 / 4 2.615 * * * [progress]: picking best candidate 2.625 * * * * [pick]: Picked # 2.625 * * * [progress]: localizing error 2.672 * * * [progress]: generating rewritten candidates 2.672 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.756 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.770 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 2.786 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.838 * * * [progress]: generating series expansions 2.838 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.840 * [backup-simplify]: Simplify (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a))) into (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) 2.840 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) in (a b) around 0 2.840 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) in b 2.840 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in b 2.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in b 2.840 * [taylor]: Taking taylor expansion of 1/2 in b 2.840 * [backup-simplify]: Simplify 1/2 into 1/2 2.840 * [taylor]: Taking taylor expansion of (/ PI a) in b 2.840 * [taylor]: Taking taylor expansion of PI in b 2.841 * [backup-simplify]: Simplify PI into PI 2.841 * [taylor]: Taking taylor expansion of a in b 2.841 * [backup-simplify]: Simplify a into a 2.841 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.841 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.841 * [taylor]: Taking taylor expansion of 1/2 in b 2.841 * [backup-simplify]: Simplify 1/2 into 1/2 2.841 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.841 * [taylor]: Taking taylor expansion of PI in b 2.841 * [backup-simplify]: Simplify PI into PI 2.841 * [taylor]: Taking taylor expansion of b in b 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 1 into 1 2.842 * [backup-simplify]: Simplify (/ PI 1) into PI 2.842 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 2.842 * [taylor]: Taking taylor expansion of (- b a) in b 2.842 * [taylor]: Taking taylor expansion of b in b 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.842 * [taylor]: Taking taylor expansion of a in b 2.842 * [backup-simplify]: Simplify a into a 2.842 * [taylor]: Taking taylor expansion of (+ a b) in b 2.842 * [taylor]: Taking taylor expansion of a in b 2.842 * [backup-simplify]: Simplify a into a 2.842 * [taylor]: Taking taylor expansion of b in b 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.843 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.844 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 2.845 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) 2.845 * [backup-simplify]: Simplify (- a) into (- a) 2.845 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 2.845 * [backup-simplify]: Simplify (+ a 0) into a 2.845 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 2.846 * [backup-simplify]: Simplify (/ (- (* 1/2 PI)) (* -1 (pow a 2))) into (* 1/2 (/ PI (pow a 2))) 2.847 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) in a 2.847 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in a 2.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 2.847 * [taylor]: Taking taylor expansion of 1/2 in a 2.847 * [backup-simplify]: Simplify 1/2 into 1/2 2.847 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.847 * [taylor]: Taking taylor expansion of PI in a 2.847 * [backup-simplify]: Simplify PI into PI 2.847 * [taylor]: Taking taylor expansion of a in a 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify 1 into 1 2.847 * [backup-simplify]: Simplify (/ PI 1) into PI 2.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in a 2.847 * [taylor]: Taking taylor expansion of 1/2 in a 2.847 * [backup-simplify]: Simplify 1/2 into 1/2 2.847 * [taylor]: Taking taylor expansion of (/ PI b) in a 2.847 * [taylor]: Taking taylor expansion of PI in a 2.847 * [backup-simplify]: Simplify PI into PI 2.847 * [taylor]: Taking taylor expansion of b in a 2.847 * [backup-simplify]: Simplify b into b 2.847 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.848 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 2.848 * [taylor]: Taking taylor expansion of (- b a) in a 2.848 * [taylor]: Taking taylor expansion of b in a 2.848 * [backup-simplify]: Simplify b into b 2.848 * [taylor]: Taking taylor expansion of a in a 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify 1 into 1 2.848 * [taylor]: Taking taylor expansion of (+ a b) in a 2.848 * [taylor]: Taking taylor expansion of a in a 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify 1 into 1 2.848 * [taylor]: Taking taylor expansion of b in a 2.848 * [backup-simplify]: Simplify b into b 2.848 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.849 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 2.850 * [backup-simplify]: Simplify (- 0) into 0 2.850 * [backup-simplify]: Simplify (+ b 0) into b 2.850 * [backup-simplify]: Simplify (+ 0 b) into b 2.850 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.850 * [backup-simplify]: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) 2.850 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) in a 2.850 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in a 2.850 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 2.850 * [taylor]: Taking taylor expansion of 1/2 in a 2.850 * [backup-simplify]: Simplify 1/2 into 1/2 2.850 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.850 * [taylor]: Taking taylor expansion of PI in a 2.850 * [backup-simplify]: Simplify PI into PI 2.850 * [taylor]: Taking taylor expansion of a in a 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 1 into 1 2.851 * [backup-simplify]: Simplify (/ PI 1) into PI 2.851 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in a 2.851 * [taylor]: Taking taylor expansion of 1/2 in a 2.851 * [backup-simplify]: Simplify 1/2 into 1/2 2.851 * [taylor]: Taking taylor expansion of (/ PI b) in a 2.851 * [taylor]: Taking taylor expansion of PI in a 2.851 * [backup-simplify]: Simplify PI into PI 2.851 * [taylor]: Taking taylor expansion of b in a 2.851 * [backup-simplify]: Simplify b into b 2.851 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.851 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 2.851 * [taylor]: Taking taylor expansion of (- b a) in a 2.851 * [taylor]: Taking taylor expansion of b in a 2.851 * [backup-simplify]: Simplify b into b 2.851 * [taylor]: Taking taylor expansion of a in a 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 1 into 1 2.851 * [taylor]: Taking taylor expansion of (+ a b) in a 2.851 * [taylor]: Taking taylor expansion of a in a 2.851 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify 1 into 1 2.852 * [taylor]: Taking taylor expansion of b in a 2.852 * [backup-simplify]: Simplify b into b 2.852 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.853 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 2.853 * [backup-simplify]: Simplify (- 0) into 0 2.853 * [backup-simplify]: Simplify (+ b 0) into b 2.853 * [backup-simplify]: Simplify (+ 0 b) into b 2.854 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.854 * [backup-simplify]: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) 2.854 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.854 * [taylor]: Taking taylor expansion of 1/2 in b 2.854 * [backup-simplify]: Simplify 1/2 into 1/2 2.854 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.854 * [taylor]: Taking taylor expansion of PI in b 2.854 * [backup-simplify]: Simplify PI into PI 2.854 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.854 * [taylor]: Taking taylor expansion of b in b 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 1 into 1 2.855 * [backup-simplify]: Simplify (* 1 1) into 1 2.855 * [backup-simplify]: Simplify (/ PI 1) into PI 2.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.858 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.865 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 2.865 * [backup-simplify]: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) 2.865 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ PI b)))) into (- (* 1/2 (/ PI b))) 2.866 * [backup-simplify]: Simplify (+ 1 0) into 1 2.866 * [backup-simplify]: Simplify (- 1) into -1 2.867 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.867 * [backup-simplify]: Simplify (+ (* b 1) (* -1 b)) into 0 2.867 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ PI b))) (pow b 2)) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 (pow b 2))))) into (- (* 1/2 (/ PI (pow b 3)))) 2.867 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 2.867 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 2.867 * [taylor]: Taking taylor expansion of 1/2 in b 2.868 * [backup-simplify]: Simplify 1/2 into 1/2 2.868 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.868 * [taylor]: Taking taylor expansion of PI in b 2.868 * [backup-simplify]: Simplify PI into PI 2.868 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.868 * [taylor]: Taking taylor expansion of b in b 2.868 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify 1 into 1 2.868 * [backup-simplify]: Simplify (* 1 1) into 1 2.869 * [backup-simplify]: Simplify (* 1 1) into 1 2.869 * [backup-simplify]: Simplify (/ PI 1) into PI 2.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.876 * [backup-simplify]: Simplify (- 0) into 0 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.877 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.877 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.879 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.879 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 2.879 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI b))) into 0 2.879 * [backup-simplify]: Simplify (- 0) into 0 2.880 * [backup-simplify]: Simplify (+ 0 0) into 0 2.880 * [backup-simplify]: Simplify (+ 0 0) into 0 2.880 * [backup-simplify]: Simplify (- 0) into 0 2.880 * [backup-simplify]: Simplify (+ 0 0) into 0 2.881 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 1) (* 0 b))) into (- 1) 2.881 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (* 1/2 (/ PI (pow b 2))) (/ (- 1) (pow b 2))) (* (- (* 1/2 (/ PI (pow b 3)))) (/ 0 (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 2.881 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 2.881 * [taylor]: Taking taylor expansion of 1/2 in b 2.881 * [backup-simplify]: Simplify 1/2 into 1/2 2.881 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 2.881 * [taylor]: Taking taylor expansion of PI in b 2.881 * [backup-simplify]: Simplify PI into PI 2.881 * [taylor]: Taking taylor expansion of (pow b 4) in b 2.881 * [taylor]: Taking taylor expansion of b in b 2.881 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify 1 into 1 2.882 * [backup-simplify]: Simplify (* 1 1) into 1 2.882 * [backup-simplify]: Simplify (* 1 1) into 1 2.882 * [backup-simplify]: Simplify (/ PI 1) into PI 2.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.891 * [backup-simplify]: Simplify (- 0) into 0 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify (/ (- (/ (/ PI 2) (/ 1 a)) (/ (/ PI 2) (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) into (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) 2.893 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.893 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 2.893 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in b 2.893 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 2.893 * [taylor]: Taking taylor expansion of 1/2 in b 2.894 * [backup-simplify]: Simplify 1/2 into 1/2 2.894 * [taylor]: Taking taylor expansion of (* a PI) in b 2.894 * [taylor]: Taking taylor expansion of a in b 2.894 * [backup-simplify]: Simplify a into a 2.894 * [taylor]: Taking taylor expansion of PI in b 2.894 * [backup-simplify]: Simplify PI into PI 2.894 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 2.894 * [taylor]: Taking taylor expansion of 1/2 in b 2.894 * [backup-simplify]: Simplify 1/2 into 1/2 2.894 * [taylor]: Taking taylor expansion of (* b PI) in b 2.894 * [taylor]: Taking taylor expansion of b in b 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 1 into 1 2.894 * [taylor]: Taking taylor expansion of PI in b 2.894 * [backup-simplify]: Simplify PI into PI 2.894 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 2.894 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 2.894 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.894 * [taylor]: Taking taylor expansion of b in b 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 1 into 1 2.894 * [backup-simplify]: Simplify (/ 1 1) into 1 2.894 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.894 * [taylor]: Taking taylor expansion of a in b 2.894 * [backup-simplify]: Simplify a into a 2.894 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.894 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.894 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.894 * [taylor]: Taking taylor expansion of a in b 2.894 * [backup-simplify]: Simplify a into a 2.894 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.894 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.894 * [taylor]: Taking taylor expansion of b in b 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 1 into 1 2.895 * [backup-simplify]: Simplify (/ 1 1) into 1 2.895 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.895 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 2.895 * [backup-simplify]: Simplify (* 0 PI) into 0 2.895 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.895 * [backup-simplify]: Simplify (- 0) into 0 2.896 * [backup-simplify]: Simplify (+ (* 1/2 (* a PI)) 0) into (* 1/2 (* a PI)) 2.896 * [backup-simplify]: Simplify (+ 1 0) into 1 2.896 * [backup-simplify]: Simplify (+ 0 1) into 1 2.896 * [backup-simplify]: Simplify (* 1 1) into 1 2.896 * [backup-simplify]: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) 2.896 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 2.896 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in a 2.896 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 2.896 * [taylor]: Taking taylor expansion of 1/2 in a 2.896 * [backup-simplify]: Simplify 1/2 into 1/2 2.896 * [taylor]: Taking taylor expansion of (* a PI) in a 2.896 * [taylor]: Taking taylor expansion of a in a 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 1 into 1 2.897 * [taylor]: Taking taylor expansion of PI in a 2.897 * [backup-simplify]: Simplify PI into PI 2.897 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 2.897 * [taylor]: Taking taylor expansion of 1/2 in a 2.897 * [backup-simplify]: Simplify 1/2 into 1/2 2.897 * [taylor]: Taking taylor expansion of (* b PI) in a 2.897 * [taylor]: Taking taylor expansion of b in a 2.897 * [backup-simplify]: Simplify b into b 2.897 * [taylor]: Taking taylor expansion of PI in a 2.897 * [backup-simplify]: Simplify PI into PI 2.897 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 2.897 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 2.897 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.897 * [taylor]: Taking taylor expansion of b in a 2.897 * [backup-simplify]: Simplify b into b 2.897 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.897 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.897 * [taylor]: Taking taylor expansion of a in a 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 1 into 1 2.897 * [backup-simplify]: Simplify (/ 1 1) into 1 2.897 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.897 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.897 * [taylor]: Taking taylor expansion of a in a 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 1 into 1 2.897 * [backup-simplify]: Simplify (/ 1 1) into 1 2.897 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.897 * [taylor]: Taking taylor expansion of b in a 2.897 * [backup-simplify]: Simplify b into b 2.897 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.898 * [backup-simplify]: Simplify (* 0 PI) into 0 2.898 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.898 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.898 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 2.898 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 2.898 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 2.899 * [backup-simplify]: Simplify (- 1) into -1 2.899 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.899 * [backup-simplify]: Simplify (+ 1 0) into 1 2.899 * [backup-simplify]: Simplify (* -1 1) into -1 2.899 * [backup-simplify]: Simplify (/ (- (* 1/2 (* PI b))) -1) into (* 1/2 (* b PI)) 2.899 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 2.899 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in a 2.900 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 2.900 * [taylor]: Taking taylor expansion of 1/2 in a 2.900 * [backup-simplify]: Simplify 1/2 into 1/2 2.900 * [taylor]: Taking taylor expansion of (* a PI) in a 2.900 * [taylor]: Taking taylor expansion of a in a 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify 1 into 1 2.900 * [taylor]: Taking taylor expansion of PI in a 2.900 * [backup-simplify]: Simplify PI into PI 2.900 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 2.900 * [taylor]: Taking taylor expansion of 1/2 in a 2.900 * [backup-simplify]: Simplify 1/2 into 1/2 2.900 * [taylor]: Taking taylor expansion of (* b PI) in a 2.900 * [taylor]: Taking taylor expansion of b in a 2.900 * [backup-simplify]: Simplify b into b 2.900 * [taylor]: Taking taylor expansion of PI in a 2.900 * [backup-simplify]: Simplify PI into PI 2.900 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 2.900 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 2.900 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.900 * [taylor]: Taking taylor expansion of b in a 2.900 * [backup-simplify]: Simplify b into b 2.900 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.900 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.900 * [taylor]: Taking taylor expansion of a in a 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify 1 into 1 2.900 * [backup-simplify]: Simplify (/ 1 1) into 1 2.900 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.900 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.900 * [taylor]: Taking taylor expansion of a in a 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify 1 into 1 2.900 * [backup-simplify]: Simplify (/ 1 1) into 1 2.900 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.901 * [taylor]: Taking taylor expansion of b in a 2.901 * [backup-simplify]: Simplify b into b 2.901 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.901 * [backup-simplify]: Simplify (* 0 PI) into 0 2.901 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.901 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.901 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 2.901 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 2.901 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 2.902 * [backup-simplify]: Simplify (- 1) into -1 2.902 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.902 * [backup-simplify]: Simplify (+ 1 0) into 1 2.902 * [backup-simplify]: Simplify (* -1 1) into -1 2.902 * [backup-simplify]: Simplify (/ (- (* 1/2 (* PI b))) -1) into (* 1/2 (* b PI)) 2.903 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 2.903 * [taylor]: Taking taylor expansion of 1/2 in b 2.903 * [backup-simplify]: Simplify 1/2 into 1/2 2.903 * [taylor]: Taking taylor expansion of (* b PI) in b 2.903 * [taylor]: Taking taylor expansion of b in b 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 1 into 1 2.903 * [taylor]: Taking taylor expansion of PI in b 2.903 * [backup-simplify]: Simplify PI into PI 2.903 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.904 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.905 * [backup-simplify]: Simplify (* 0 PI) into 0 2.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.905 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.907 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 2.908 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 2.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 2.909 * [backup-simplify]: Simplify (- 0) into 0 2.910 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 2.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.910 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.911 * [backup-simplify]: Simplify (- 0) into 0 2.912 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 2.912 * [backup-simplify]: Simplify (+ (* -1 (/ 1 b)) (* (/ 1 b) 1)) into 0 2.913 * [backup-simplify]: Simplify (- (/ (* 1/2 PI) -1) (+ (* (* 1/2 (* b PI)) (/ 0 -1)))) into (- (* 1/2 PI)) 2.913 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 2.913 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.913 * [taylor]: Taking taylor expansion of 1/2 in b 2.913 * [backup-simplify]: Simplify 1/2 into 1/2 2.913 * [taylor]: Taking taylor expansion of PI in b 2.913 * [backup-simplify]: Simplify PI into PI 2.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.915 * [backup-simplify]: Simplify (- 0) into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.920 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 2.921 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* PI b)))) into 0 2.921 * [backup-simplify]: Simplify (- 0) into 0 2.921 * [backup-simplify]: Simplify (+ 0 0) into 0 2.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.923 * [backup-simplify]: Simplify (+ 0 0) into 0 2.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.924 * [backup-simplify]: Simplify (- 0) into 0 2.924 * [backup-simplify]: Simplify (+ 0 0) into 0 2.925 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 2.927 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1/2 (* b PI)) (/ (/ 1 (pow b 2)) -1)) (* (- (* 1/2 PI)) (/ 0 -1)))) into (* 1/2 (/ PI b)) 2.927 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.927 * [taylor]: Taking taylor expansion of 1/2 in b 2.927 * [backup-simplify]: Simplify 1/2 into 1/2 2.927 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.927 * [taylor]: Taking taylor expansion of PI in b 2.927 * [backup-simplify]: Simplify PI into PI 2.927 * [taylor]: Taking taylor expansion of b in b 2.927 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify 1 into 1 2.928 * [backup-simplify]: Simplify (/ PI 1) into PI 2.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.932 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.933 * [backup-simplify]: Simplify (- 0) into 0 2.933 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify (/ (- (/ (/ PI 2) (/ 1 (- a))) (/ (/ PI 2) (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- a))))) into (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 2.937 * [approximate]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 2.937 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 2.938 * [taylor]: Taking taylor expansion of -1 in b 2.938 * [backup-simplify]: Simplify -1 into -1 2.938 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 2.938 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in b 2.938 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 2.938 * [taylor]: Taking taylor expansion of 1/2 in b 2.938 * [backup-simplify]: Simplify 1/2 into 1/2 2.938 * [taylor]: Taking taylor expansion of (* b PI) in b 2.938 * [taylor]: Taking taylor expansion of b in b 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 1 into 1 2.938 * [taylor]: Taking taylor expansion of PI in b 2.938 * [backup-simplify]: Simplify PI into PI 2.938 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 2.938 * [taylor]: Taking taylor expansion of 1/2 in b 2.938 * [backup-simplify]: Simplify 1/2 into 1/2 2.938 * [taylor]: Taking taylor expansion of (* a PI) in b 2.938 * [taylor]: Taking taylor expansion of a in b 2.938 * [backup-simplify]: Simplify a into a 2.938 * [taylor]: Taking taylor expansion of PI in b 2.938 * [backup-simplify]: Simplify PI into PI 2.938 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 2.938 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.938 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.938 * [taylor]: Taking taylor expansion of a in b 2.938 * [backup-simplify]: Simplify a into a 2.938 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.938 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.938 * [taylor]: Taking taylor expansion of b in b 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 1 into 1 2.939 * [backup-simplify]: Simplify (/ 1 1) into 1 2.939 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 2.939 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.939 * [taylor]: Taking taylor expansion of a in b 2.939 * [backup-simplify]: Simplify a into a 2.939 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.939 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.939 * [taylor]: Taking taylor expansion of b in b 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify 1 into 1 2.939 * [backup-simplify]: Simplify (/ 1 1) into 1 2.940 * [backup-simplify]: Simplify (* 0 PI) into 0 2.940 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.940 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.940 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 2.940 * [backup-simplify]: Simplify (- (* 1/2 (* a PI))) into (- (* 1/2 (* a PI))) 2.940 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* a PI)))) into (- (* 1/2 (* a PI))) 2.941 * [backup-simplify]: Simplify (+ 0 1) into 1 2.941 * [backup-simplify]: Simplify (- 1) into -1 2.942 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.942 * [backup-simplify]: Simplify (* 1 -1) into -1 2.942 * [backup-simplify]: Simplify (/ (- (* 1/2 (* a PI))) -1) into (* 1/2 (* a PI)) 2.942 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 2.942 * [taylor]: Taking taylor expansion of -1 in a 2.942 * [backup-simplify]: Simplify -1 into -1 2.942 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 2.942 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in a 2.942 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 2.942 * [taylor]: Taking taylor expansion of 1/2 in a 2.942 * [backup-simplify]: Simplify 1/2 into 1/2 2.942 * [taylor]: Taking taylor expansion of (* b PI) in a 2.942 * [taylor]: Taking taylor expansion of b in a 2.942 * [backup-simplify]: Simplify b into b 2.942 * [taylor]: Taking taylor expansion of PI in a 2.942 * [backup-simplify]: Simplify PI into PI 2.942 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 2.943 * [taylor]: Taking taylor expansion of 1/2 in a 2.943 * [backup-simplify]: Simplify 1/2 into 1/2 2.943 * [taylor]: Taking taylor expansion of (* a PI) in a 2.943 * [taylor]: Taking taylor expansion of a in a 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 1 into 1 2.943 * [taylor]: Taking taylor expansion of PI in a 2.943 * [backup-simplify]: Simplify PI into PI 2.943 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 2.943 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.943 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.943 * [taylor]: Taking taylor expansion of a in a 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 1 into 1 2.943 * [backup-simplify]: Simplify (/ 1 1) into 1 2.943 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.943 * [taylor]: Taking taylor expansion of b in a 2.943 * [backup-simplify]: Simplify b into b 2.943 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.943 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 2.943 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.943 * [taylor]: Taking taylor expansion of a in a 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 1 into 1 2.944 * [backup-simplify]: Simplify (/ 1 1) into 1 2.944 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.944 * [taylor]: Taking taylor expansion of b in a 2.944 * [backup-simplify]: Simplify b into b 2.944 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.944 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.944 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 2.944 * [backup-simplify]: Simplify (* 0 PI) into 0 2.945 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.945 * [backup-simplify]: Simplify (- 0) into 0 2.945 * [backup-simplify]: Simplify (+ (* 1/2 (* PI b)) 0) into (* 1/2 (* PI b)) 2.946 * [backup-simplify]: Simplify (+ 1 0) into 1 2.946 * [backup-simplify]: Simplify (+ 1 0) into 1 2.947 * [backup-simplify]: Simplify (* 1 1) into 1 2.947 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 2.947 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 2.947 * [taylor]: Taking taylor expansion of -1 in a 2.947 * [backup-simplify]: Simplify -1 into -1 2.947 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 2.947 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in a 2.947 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 2.947 * [taylor]: Taking taylor expansion of 1/2 in a 2.947 * [backup-simplify]: Simplify 1/2 into 1/2 2.947 * [taylor]: Taking taylor expansion of (* b PI) in a 2.947 * [taylor]: Taking taylor expansion of b in a 2.947 * [backup-simplify]: Simplify b into b 2.947 * [taylor]: Taking taylor expansion of PI in a 2.947 * [backup-simplify]: Simplify PI into PI 2.947 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 2.947 * [taylor]: Taking taylor expansion of 1/2 in a 2.947 * [backup-simplify]: Simplify 1/2 into 1/2 2.947 * [taylor]: Taking taylor expansion of (* a PI) in a 2.947 * [taylor]: Taking taylor expansion of a in a 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 1 into 1 2.947 * [taylor]: Taking taylor expansion of PI in a 2.947 * [backup-simplify]: Simplify PI into PI 2.947 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 2.947 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.947 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.947 * [taylor]: Taking taylor expansion of a in a 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 1 into 1 2.948 * [backup-simplify]: Simplify (/ 1 1) into 1 2.948 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.948 * [taylor]: Taking taylor expansion of b in a 2.948 * [backup-simplify]: Simplify b into b 2.948 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.948 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 2.948 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.948 * [taylor]: Taking taylor expansion of a in a 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify 1 into 1 2.948 * [backup-simplify]: Simplify (/ 1 1) into 1 2.948 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.948 * [taylor]: Taking taylor expansion of b in a 2.948 * [backup-simplify]: Simplify b into b 2.948 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.948 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.949 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 2.949 * [backup-simplify]: Simplify (* 0 PI) into 0 2.949 * [backup-simplify]: Simplify (* 1/2 0) into 0 2.950 * [backup-simplify]: Simplify (- 0) into 0 2.950 * [backup-simplify]: Simplify (+ (* 1/2 (* PI b)) 0) into (* 1/2 (* PI b)) 2.950 * [backup-simplify]: Simplify (+ 1 0) into 1 2.951 * [backup-simplify]: Simplify (+ 1 0) into 1 2.951 * [backup-simplify]: Simplify (* 1 1) into 1 2.951 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 2.951 * [backup-simplify]: Simplify (* -1 (* 1/2 (* b PI))) into (* -1/2 (* PI b)) 2.951 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 2.951 * [taylor]: Taking taylor expansion of -1/2 in b 2.951 * [backup-simplify]: Simplify -1/2 into -1/2 2.951 * [taylor]: Taking taylor expansion of (* PI b) in b 2.951 * [taylor]: Taking taylor expansion of PI in b 2.951 * [backup-simplify]: Simplify PI into PI 2.951 * [taylor]: Taking taylor expansion of b in b 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 1 into 1 2.952 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 2.954 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 2.954 * [backup-simplify]: Simplify (* PI 0) into 0 2.955 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 2.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 2.958 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.959 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 2.960 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 2.962 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) 2.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.963 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 2.963 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 2.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.964 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.964 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 2.966 * [backup-simplify]: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* b PI)) (/ 0 1)))) into (- (* 1/2 PI)) 2.967 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 PI))) (* 0 (* 1/2 (* b PI)))) into (* 1/2 PI) 2.967 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.968 * [taylor]: Taking taylor expansion of 1/2 in b 2.968 * [backup-simplify]: Simplify 1/2 into 1/2 2.968 * [taylor]: Taking taylor expansion of PI in b 2.968 * [backup-simplify]: Simplify PI into PI 2.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.969 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.971 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 2.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* PI b)))) into 0 2.973 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.974 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.975 * [backup-simplify]: Simplify (- 0) into 0 2.975 * [backup-simplify]: Simplify (+ 0 0) into 0 2.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.976 * [backup-simplify]: Simplify (- 0) into 0 2.977 * [backup-simplify]: Simplify (+ 0 0) into 0 2.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.978 * [backup-simplify]: Simplify (+ 0 0) into 0 2.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 2.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 (* b PI)) (/ (- (/ 1 (pow b 2))) 1)) (* (- (* 1/2 PI)) (/ 0 1)))) into (* 1/2 (/ PI b)) 2.984 * [backup-simplify]: Simplify (+ (* -1 (* 1/2 (/ PI b))) (+ (* 0 (- (* 1/2 PI))) (* 0 (* 1/2 (* b PI))))) into (- (* 1/2 (/ PI b))) 2.984 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 2.985 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.985 * [taylor]: Taking taylor expansion of 1/2 in b 2.985 * [backup-simplify]: Simplify 1/2 into 1/2 2.985 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.985 * [taylor]: Taking taylor expansion of PI in b 2.985 * [backup-simplify]: Simplify PI into PI 2.985 * [taylor]: Taking taylor expansion of b in b 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify 1 into 1 2.985 * [backup-simplify]: Simplify (/ PI 1) into PI 2.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.990 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.990 * [backup-simplify]: Simplify (- 0) into 0 2.990 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.991 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.994 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.994 * [backup-simplify]: Simplify 0 into 0 2.994 * [backup-simplify]: Simplify 0 into 0 2.995 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.995 * [backup-simplify]: Simplify (/ (/ PI 2) a) into (* 1/2 (/ PI a)) 2.995 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI a)) in (a) around 0 2.995 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 2.995 * [taylor]: Taking taylor expansion of 1/2 in a 2.995 * [backup-simplify]: Simplify 1/2 into 1/2 2.995 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.995 * [taylor]: Taking taylor expansion of PI in a 2.995 * [backup-simplify]: Simplify PI into PI 2.995 * [taylor]: Taking taylor expansion of a in a 2.995 * [backup-simplify]: Simplify 0 into 0 2.995 * [backup-simplify]: Simplify 1 into 1 2.996 * [backup-simplify]: Simplify (/ PI 1) into PI 2.996 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 2.996 * [taylor]: Taking taylor expansion of 1/2 in a 2.996 * [backup-simplify]: Simplify 1/2 into 1/2 2.996 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.996 * [taylor]: Taking taylor expansion of PI in a 2.996 * [backup-simplify]: Simplify PI into PI 2.996 * [taylor]: Taking taylor expansion of a in a 2.996 * [backup-simplify]: Simplify 0 into 0 2.996 * [backup-simplify]: Simplify 1 into 1 2.997 * [backup-simplify]: Simplify (/ PI 1) into PI 2.997 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.998 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.999 * [backup-simplify]: Simplify 0 into 0 3.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.001 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 3.001 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.004 * [backup-simplify]: Simplify 0 into 0 3.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.006 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.009 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.009 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.012 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.012 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) 3.013 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 a)) into (* 1/2 (* a PI)) 3.013 * [approximate]: Taking taylor expansion of (* 1/2 (* a PI)) in (a) around 0 3.013 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 3.013 * [taylor]: Taking taylor expansion of 1/2 in a 3.013 * [backup-simplify]: Simplify 1/2 into 1/2 3.013 * [taylor]: Taking taylor expansion of (* a PI) in a 3.013 * [taylor]: Taking taylor expansion of a in a 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify 1 into 1 3.013 * [taylor]: Taking taylor expansion of PI in a 3.013 * [backup-simplify]: Simplify PI into PI 3.013 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 3.013 * [taylor]: Taking taylor expansion of 1/2 in a 3.013 * [backup-simplify]: Simplify 1/2 into 1/2 3.014 * [taylor]: Taking taylor expansion of (* a PI) in a 3.014 * [taylor]: Taking taylor expansion of a in a 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify 1 into 1 3.014 * [taylor]: Taking taylor expansion of PI in a 3.014 * [backup-simplify]: Simplify PI into PI 3.014 * [backup-simplify]: Simplify (* 0 PI) into 0 3.015 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.015 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.018 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 3.018 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 3.019 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 3.020 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.023 * [backup-simplify]: Simplify 0 into 0 3.024 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 3.024 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 3.026 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.028 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 3.028 * [backup-simplify]: Simplify 0 into 0 3.029 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 3.030 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 3.030 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) 3.031 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 (- a))) into (* -1/2 (* a PI)) 3.031 * [approximate]: Taking taylor expansion of (* -1/2 (* a PI)) in (a) around 0 3.031 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 3.031 * [taylor]: Taking taylor expansion of -1/2 in a 3.031 * [backup-simplify]: Simplify -1/2 into -1/2 3.031 * [taylor]: Taking taylor expansion of (* a PI) in a 3.031 * [taylor]: Taking taylor expansion of a in a 3.031 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify 1 into 1 3.031 * [taylor]: Taking taylor expansion of PI in a 3.031 * [backup-simplify]: Simplify PI into PI 3.031 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 3.031 * [taylor]: Taking taylor expansion of -1/2 in a 3.031 * [backup-simplify]: Simplify -1/2 into -1/2 3.031 * [taylor]: Taking taylor expansion of (* a PI) in a 3.031 * [taylor]: Taking taylor expansion of a in a 3.031 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify 1 into 1 3.031 * [taylor]: Taking taylor expansion of PI in a 3.031 * [backup-simplify]: Simplify PI into PI 3.032 * [backup-simplify]: Simplify (* 0 PI) into 0 3.032 * [backup-simplify]: Simplify (* -1/2 0) into 0 3.032 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.034 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 3.034 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 3.035 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.036 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 3.036 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.037 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.037 * [backup-simplify]: Simplify 0 into 0 3.038 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.039 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 3.039 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.040 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 3.040 * [backup-simplify]: Simplify 0 into 0 3.041 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.042 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 3.042 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 3.045 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 3.045 * [backup-simplify]: Simplify 0 into 0 3.045 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (/ 1 (- a))) into (* 1/2 (/ PI a)) 3.045 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 3.046 * [backup-simplify]: Simplify (/ (/ PI 2) b) into (* 1/2 (/ PI b)) 3.046 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI b)) in (b) around 0 3.046 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 3.046 * [taylor]: Taking taylor expansion of 1/2 in b 3.046 * [backup-simplify]: Simplify 1/2 into 1/2 3.046 * [taylor]: Taking taylor expansion of (/ PI b) in b 3.046 * [taylor]: Taking taylor expansion of PI in b 3.046 * [backup-simplify]: Simplify PI into PI 3.046 * [taylor]: Taking taylor expansion of b in b 3.046 * [backup-simplify]: Simplify 0 into 0 3.046 * [backup-simplify]: Simplify 1 into 1 3.046 * [backup-simplify]: Simplify (/ PI 1) into PI 3.046 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 3.046 * [taylor]: Taking taylor expansion of 1/2 in b 3.046 * [backup-simplify]: Simplify 1/2 into 1/2 3.046 * [taylor]: Taking taylor expansion of (/ PI b) in b 3.046 * [taylor]: Taking taylor expansion of PI in b 3.046 * [backup-simplify]: Simplify PI into PI 3.046 * [taylor]: Taking taylor expansion of b in b 3.046 * [backup-simplify]: Simplify 0 into 0 3.046 * [backup-simplify]: Simplify 1 into 1 3.047 * [backup-simplify]: Simplify (/ PI 1) into PI 3.047 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 3.047 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 3.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 3.048 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 3.049 * [backup-simplify]: Simplify 0 into 0 3.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.051 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.053 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.053 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.056 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.056 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.059 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.059 * [backup-simplify]: Simplify 0 into 0 3.059 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 b)) into (* 1/2 (/ PI b)) 3.060 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 b)) into (* 1/2 (* b PI)) 3.060 * [approximate]: Taking taylor expansion of (* 1/2 (* b PI)) in (b) around 0 3.060 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 3.060 * [taylor]: Taking taylor expansion of 1/2 in b 3.060 * [backup-simplify]: Simplify 1/2 into 1/2 3.060 * [taylor]: Taking taylor expansion of (* b PI) in b 3.060 * [taylor]: Taking taylor expansion of b in b 3.060 * [backup-simplify]: Simplify 0 into 0 3.060 * [backup-simplify]: Simplify 1 into 1 3.060 * [taylor]: Taking taylor expansion of PI in b 3.060 * [backup-simplify]: Simplify PI into PI 3.060 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 3.060 * [taylor]: Taking taylor expansion of 1/2 in b 3.060 * [backup-simplify]: Simplify 1/2 into 1/2 3.060 * [taylor]: Taking taylor expansion of (* b PI) in b 3.061 * [taylor]: Taking taylor expansion of b in b 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify 1 into 1 3.061 * [taylor]: Taking taylor expansion of PI in b 3.061 * [backup-simplify]: Simplify PI into PI 3.061 * [backup-simplify]: Simplify (* 0 PI) into 0 3.062 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.065 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 3.066 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 3.067 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 3.068 * [backup-simplify]: Simplify 0 into 0 3.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.070 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.070 * [backup-simplify]: Simplify 0 into 0 3.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 3.073 * [backup-simplify]: Simplify 0 into 0 3.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 3.077 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 3.080 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 3.084 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 3.084 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 b)) into (* 1/2 (/ PI b)) 3.085 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 (- b))) into (* -1/2 (* b PI)) 3.085 * [approximate]: Taking taylor expansion of (* -1/2 (* b PI)) in (b) around 0 3.085 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 3.085 * [taylor]: Taking taylor expansion of -1/2 in b 3.085 * [backup-simplify]: Simplify -1/2 into -1/2 3.086 * [taylor]: Taking taylor expansion of (* b PI) in b 3.086 * [taylor]: Taking taylor expansion of b in b 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [taylor]: Taking taylor expansion of PI in b 3.086 * [backup-simplify]: Simplify PI into PI 3.086 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 3.086 * [taylor]: Taking taylor expansion of -1/2 in b 3.086 * [backup-simplify]: Simplify -1/2 into -1/2 3.086 * [taylor]: Taking taylor expansion of (* b PI) in b 3.086 * [taylor]: Taking taylor expansion of b in b 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 1 into 1 3.086 * [taylor]: Taking taylor expansion of PI in b 3.086 * [backup-simplify]: Simplify PI into PI 3.086 * [backup-simplify]: Simplify (* 0 PI) into 0 3.087 * [backup-simplify]: Simplify (* -1/2 0) into 0 3.087 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.090 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 3.091 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 3.092 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.093 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 3.093 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.096 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.096 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.099 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 3.099 * [backup-simplify]: Simplify 0 into 0 3.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 3.101 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 3.101 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 3.105 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 3.105 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 3.108 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 3.108 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (/ 1 (- b))) into (* 1/2 (/ PI b)) 3.109 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.110 * [backup-simplify]: Simplify (- (/ (/ PI 2) a) (/ (/ PI 2) b)) into (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) 3.111 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in (a b) around 0 3.111 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in b 3.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in b 3.111 * [taylor]: Taking taylor expansion of 1/2 in b 3.111 * [backup-simplify]: Simplify 1/2 into 1/2 3.111 * [taylor]: Taking taylor expansion of (/ PI a) in b 3.111 * [taylor]: Taking taylor expansion of PI in b 3.111 * [backup-simplify]: Simplify PI into PI 3.111 * [taylor]: Taking taylor expansion of a in b 3.111 * [backup-simplify]: Simplify a into a 3.111 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 3.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 3.111 * [taylor]: Taking taylor expansion of 1/2 in b 3.111 * [backup-simplify]: Simplify 1/2 into 1/2 3.111 * [taylor]: Taking taylor expansion of (/ PI b) in b 3.111 * [taylor]: Taking taylor expansion of PI in b 3.111 * [backup-simplify]: Simplify PI into PI 3.111 * [taylor]: Taking taylor expansion of b in b 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 1 into 1 3.113 * [backup-simplify]: Simplify (/ PI 1) into PI 3.113 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in a 3.113 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 3.113 * [taylor]: Taking taylor expansion of 1/2 in a 3.113 * [backup-simplify]: Simplify 1/2 into 1/2 3.113 * [taylor]: Taking taylor expansion of (/ PI a) in a 3.113 * [taylor]: Taking taylor expansion of PI in a 3.113 * [backup-simplify]: Simplify PI into PI 3.113 * [taylor]: Taking taylor expansion of a in a 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify 1 into 1 3.114 * [backup-simplify]: Simplify (/ PI 1) into PI 3.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in a 3.114 * [taylor]: Taking taylor expansion of 1/2 in a 3.114 * [backup-simplify]: Simplify 1/2 into 1/2 3.114 * [taylor]: Taking taylor expansion of (/ PI b) in a 3.114 * [taylor]: Taking taylor expansion of PI in a 3.114 * [backup-simplify]: Simplify PI into PI 3.114 * [taylor]: Taking taylor expansion of b in a 3.114 * [backup-simplify]: Simplify b into b 3.114 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 3.115 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in a 3.115 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 3.115 * [taylor]: Taking taylor expansion of 1/2 in a 3.115 * [backup-simplify]: Simplify 1/2 into 1/2 3.115 * [taylor]: Taking taylor expansion of (/ PI a) in a 3.115 * [taylor]: Taking taylor expansion of PI in a 3.115 * [backup-simplify]: Simplify PI into PI 3.115 * [taylor]: Taking taylor expansion of a in a 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify 1 into 1 3.115 * [backup-simplify]: Simplify (/ PI 1) into PI 3.115 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in a 3.115 * [taylor]: Taking taylor expansion of 1/2 in a 3.115 * [backup-simplify]: Simplify 1/2 into 1/2 3.115 * [taylor]: Taking taylor expansion of (/ PI b) in a 3.115 * [taylor]: Taking taylor expansion of PI in a 3.115 * [backup-simplify]: Simplify PI into PI 3.115 * [taylor]: Taking taylor expansion of b in a 3.116 * [backup-simplify]: Simplify b into b 3.116 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 3.116 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 3.117 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 3.118 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 3.118 * [taylor]: Taking taylor expansion of 1/2 in b 3.118 * [backup-simplify]: Simplify 1/2 into 1/2 3.118 * [taylor]: Taking taylor expansion of PI in b 3.118 * [backup-simplify]: Simplify PI into PI 3.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 3.119 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 3.120 * [backup-simplify]: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) 3.120 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ PI b)))) into (- (* 1/2 (/ PI b))) 3.120 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 3.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 3.120 * [taylor]: Taking taylor expansion of 1/2 in b 3.120 * [backup-simplify]: Simplify 1/2 into 1/2 3.120 * [taylor]: Taking taylor expansion of (/ PI b) in b 3.120 * [taylor]: Taking taylor expansion of PI in b 3.120 * [backup-simplify]: Simplify PI into PI 3.120 * [taylor]: Taking taylor expansion of b in b 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 1 into 1 3.120 * [backup-simplify]: Simplify (/ PI 1) into PI 3.121 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 3.122 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 3.123 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 3.123 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 3.124 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 3.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 3.126 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 3.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI b))) into 0 3.127 * [backup-simplify]: Simplify (- 0) into 0 3.127 * [backup-simplify]: Simplify (+ 0 0) into 0 3.127 * [taylor]: Taking taylor expansion of 0 in b 3.127 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 3.129 * [backup-simplify]: Simplify (- 0) into 0 3.129 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 3.130 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.133 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 3.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ PI b)))) into 0 3.134 * [backup-simplify]: Simplify (- 0) into 0 3.134 * [backup-simplify]: Simplify (+ 0 0) into 0 3.134 * [taylor]: Taking taylor expansion of 0 in b 3.134 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 3.137 * [backup-simplify]: Simplify (- 0) into 0 3.137 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 3.138 * [backup-simplify]: Simplify 0 into 0 3.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.141 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 3.142 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI b))))) into 0 3.142 * [backup-simplify]: Simplify (- 0) into 0 3.143 * [backup-simplify]: Simplify (+ 0 0) into 0 3.143 * [taylor]: Taking taylor expansion of 0 in b 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 0 into 0 3.145 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) (* 1 (/ 1 a))) (* (- (* 1/2 PI)) (* (/ 1 b) 1))) into (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) 3.146 * [backup-simplify]: Simplify (- (/ (/ PI 2) (/ 1 a)) (/ (/ PI 2) (/ 1 b))) into (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) 3.146 * [approximate]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in (a b) around 0 3.146 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in b 3.146 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 3.146 * [taylor]: Taking taylor expansion of 1/2 in b 3.146 * [backup-simplify]: Simplify 1/2 into 1/2 3.146 * [taylor]: Taking taylor expansion of (* a PI) in b 3.146 * [taylor]: Taking taylor expansion of a in b 3.146 * [backup-simplify]: Simplify a into a 3.146 * [taylor]: Taking taylor expansion of PI in b 3.146 * [backup-simplify]: Simplify PI into PI 3.146 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 3.146 * [taylor]: Taking taylor expansion of 1/2 in b 3.146 * [backup-simplify]: Simplify 1/2 into 1/2 3.146 * [taylor]: Taking taylor expansion of (* b PI) in b 3.146 * [taylor]: Taking taylor expansion of b in b 3.146 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify 1 into 1 3.146 * [taylor]: Taking taylor expansion of PI in b 3.146 * [backup-simplify]: Simplify PI into PI 3.146 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in a 3.146 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 3.146 * [taylor]: Taking taylor expansion of 1/2 in a 3.146 * [backup-simplify]: Simplify 1/2 into 1/2 3.146 * [taylor]: Taking taylor expansion of (* a PI) in a 3.146 * [taylor]: Taking taylor expansion of a in a 3.146 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify 1 into 1 3.146 * [taylor]: Taking taylor expansion of PI in a 3.146 * [backup-simplify]: Simplify PI into PI 3.146 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 3.146 * [taylor]: Taking taylor expansion of 1/2 in a 3.147 * [backup-simplify]: Simplify 1/2 into 1/2 3.147 * [taylor]: Taking taylor expansion of (* b PI) in a 3.147 * [taylor]: Taking taylor expansion of b in a 3.147 * [backup-simplify]: Simplify b into b 3.147 * [taylor]: Taking taylor expansion of PI in a 3.147 * [backup-simplify]: Simplify PI into PI 3.147 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in a 3.147 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 3.147 * [taylor]: Taking taylor expansion of 1/2 in a 3.147 * [backup-simplify]: Simplify 1/2 into 1/2 3.147 * [taylor]: Taking taylor expansion of (* a PI) in a 3.147 * [taylor]: Taking taylor expansion of a in a 3.147 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify 1 into 1 3.147 * [taylor]: Taking taylor expansion of PI in a 3.147 * [backup-simplify]: Simplify PI into PI 3.147 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 3.147 * [taylor]: Taking taylor expansion of 1/2 in a 3.147 * [backup-simplify]: Simplify 1/2 into 1/2 3.147 * [taylor]: Taking taylor expansion of (* b PI) in a 3.147 * [taylor]: Taking taylor expansion of b in a 3.147 * [backup-simplify]: Simplify b into b 3.147 * [taylor]: Taking taylor expansion of PI in a 3.147 * [backup-simplify]: Simplify PI into PI 3.148 * [backup-simplify]: Simplify (* 0 PI) into 0 3.148 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.148 * [backup-simplify]: Simplify (* b PI) into (* PI b) 3.148 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 3.148 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 3.148 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 3.148 * [taylor]: Taking taylor expansion of (- (* 1/2 (* PI b))) in b 3.148 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 3.149 * [taylor]: Taking taylor expansion of 1/2 in b 3.149 * [backup-simplify]: Simplify 1/2 into 1/2 3.149 * [taylor]: Taking taylor expansion of (* PI b) in b 3.149 * [taylor]: Taking taylor expansion of PI in b 3.149 * [backup-simplify]: Simplify PI into PI 3.149 * [taylor]: Taking taylor expansion of b in b 3.149 * [backup-simplify]: Simplify 0 into 0 3.149 * [backup-simplify]: Simplify 1 into 1 3.149 * [backup-simplify]: Simplify (* PI 0) into 0 3.150 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.150 * [backup-simplify]: Simplify (- 0) into 0 3.150 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.153 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 3.153 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 3.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 3.154 * [backup-simplify]: Simplify (- 0) into 0 3.155 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 3.155 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 3.155 * [taylor]: Taking taylor expansion of 1/2 in b 3.155 * [backup-simplify]: Simplify 1/2 into 1/2 3.155 * [taylor]: Taking taylor expansion of PI in b 3.155 * [backup-simplify]: Simplify PI into PI 3.156 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 3.156 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 3.158 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 3.159 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 3.160 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 3.161 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 3.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 3.164 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 3.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* PI b)))) into 0 3.165 * [backup-simplify]: Simplify (- 0) into 0 3.165 * [backup-simplify]: Simplify (+ 0 0) into 0 3.165 * [taylor]: Taking taylor expansion of 0 in b 3.165 * [backup-simplify]: Simplify 0 into 0 3.165 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 3.166 * [backup-simplify]: Simplify 0 into 0 3.167 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 3.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 3.168 * [backup-simplify]: Simplify (- 0) into 0 3.168 * [backup-simplify]: Simplify 0 into 0 3.168 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.170 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 3.171 * [backup-simplify]: Simplify (- 0) into 0 3.171 * [backup-simplify]: Simplify (+ 0 0) into 0 3.171 * [taylor]: Taking taylor expansion of 0 in b 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 3.172 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify (+ (* (- (* 1/2 PI)) (* (/ 1 b) 1)) (* (* 1/2 PI) (* 1 (/ 1 a)))) into (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) 3.173 * [backup-simplify]: Simplify (- (/ (/ PI 2) (/ 1 (- a))) (/ (/ PI 2) (/ 1 (- b)))) into (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) 3.173 * [approximate]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in (a b) around 0 3.173 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in b 3.173 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 3.173 * [taylor]: Taking taylor expansion of 1/2 in b 3.173 * [backup-simplify]: Simplify 1/2 into 1/2 3.173 * [taylor]: Taking taylor expansion of (* b PI) in b 3.173 * [taylor]: Taking taylor expansion of b in b 3.173 * [backup-simplify]: Simplify 0 into 0 3.173 * [backup-simplify]: Simplify 1 into 1 3.173 * [taylor]: Taking taylor expansion of PI in b 3.173 * [backup-simplify]: Simplify PI into PI 3.173 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 3.173 * [taylor]: Taking taylor expansion of 1/2 in b 3.173 * [backup-simplify]: Simplify 1/2 into 1/2 3.173 * [taylor]: Taking taylor expansion of (* a PI) in b 3.173 * [taylor]: Taking taylor expansion of a in b 3.173 * [backup-simplify]: Simplify a into a 3.173 * [taylor]: Taking taylor expansion of PI in b 3.173 * [backup-simplify]: Simplify PI into PI 3.174 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in a 3.174 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 3.174 * [taylor]: Taking taylor expansion of 1/2 in a 3.174 * [backup-simplify]: Simplify 1/2 into 1/2 3.174 * [taylor]: Taking taylor expansion of (* b PI) in a 3.174 * [taylor]: Taking taylor expansion of b in a 3.174 * [backup-simplify]: Simplify b into b 3.174 * [taylor]: Taking taylor expansion of PI in a 3.174 * [backup-simplify]: Simplify PI into PI 3.174 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 3.174 * [taylor]: Taking taylor expansion of 1/2 in a 3.174 * [backup-simplify]: Simplify 1/2 into 1/2 3.174 * [taylor]: Taking taylor expansion of (* a PI) in a 3.174 * [taylor]: Taking taylor expansion of a in a 3.174 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify 1 into 1 3.174 * [taylor]: Taking taylor expansion of PI in a 3.174 * [backup-simplify]: Simplify PI into PI 3.174 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in a 3.174 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 3.174 * [taylor]: Taking taylor expansion of 1/2 in a 3.174 * [backup-simplify]: Simplify 1/2 into 1/2 3.174 * [taylor]: Taking taylor expansion of (* b PI) in a 3.174 * [taylor]: Taking taylor expansion of b in a 3.174 * [backup-simplify]: Simplify b into b 3.174 * [taylor]: Taking taylor expansion of PI in a 3.174 * [backup-simplify]: Simplify PI into PI 3.174 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 3.174 * [taylor]: Taking taylor expansion of 1/2 in a 3.174 * [backup-simplify]: Simplify 1/2 into 1/2 3.174 * [taylor]: Taking taylor expansion of (* a PI) in a 3.174 * [taylor]: Taking taylor expansion of a in a 3.174 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify 1 into 1 3.174 * [taylor]: Taking taylor expansion of PI in a 3.174 * [backup-simplify]: Simplify PI into PI 3.174 * [backup-simplify]: Simplify (* b PI) into (* PI b) 3.174 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 3.174 * [backup-simplify]: Simplify (* 0 PI) into 0 3.175 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.175 * [backup-simplify]: Simplify (- 0) into 0 3.175 * [backup-simplify]: Simplify (+ (* 1/2 (* PI b)) 0) into (* 1/2 (* PI b)) 3.175 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 3.175 * [taylor]: Taking taylor expansion of 1/2 in b 3.175 * [backup-simplify]: Simplify 1/2 into 1/2 3.175 * [taylor]: Taking taylor expansion of (* PI b) in b 3.175 * [taylor]: Taking taylor expansion of PI in b 3.175 * [backup-simplify]: Simplify PI into PI 3.175 * [taylor]: Taking taylor expansion of b in b 3.175 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify 1 into 1 3.175 * [backup-simplify]: Simplify (* PI 0) into 0 3.176 * [backup-simplify]: Simplify (* 1/2 0) into 0 3.176 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 3.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 3.177 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.178 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 3.179 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 3.180 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) 3.180 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 3.180 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 3.180 * [taylor]: Taking taylor expansion of 1/2 in b 3.180 * [backup-simplify]: Simplify 1/2 into 1/2 3.180 * [taylor]: Taking taylor expansion of PI in b 3.180 * [backup-simplify]: Simplify PI into PI 3.180 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 3.181 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 3.181 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 3.182 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 3.184 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 3.184 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 3.184 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 3.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* PI b)))) into 0 3.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 3.186 * [backup-simplify]: Simplify (- 0) into 0 3.187 * [backup-simplify]: Simplify (+ 0 0) into 0 3.187 * [taylor]: Taking taylor expansion of 0 in b 3.187 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 3.187 * [backup-simplify]: Simplify (- 0) into 0 3.187 * [backup-simplify]: Simplify 0 into 0 3.188 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 3.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 3.188 * [backup-simplify]: Simplify 0 into 0 3.189 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 3.190 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.191 * [backup-simplify]: Simplify (- 0) into 0 3.192 * [backup-simplify]: Simplify (+ 0 0) into 0 3.192 * [taylor]: Taking taylor expansion of 0 in b 3.192 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 3.192 * [backup-simplify]: Simplify (- 0) into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) (* (/ 1 (- b)) 1)) (* (- (* 1/2 PI)) (* 1 (/ 1 (- a))))) into (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) 3.194 * * * [progress]: simplifying candidates 3.194 * * * * [progress]: [ 1 / 274 ] simplifiying candidate # 3.194 * * * 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simplifiying candidate # 3.207 * * * * [progress]: [ 262 / 274 ] simplifiying candidate #real (real->posit16 (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (* (+ a b) (- b a))))> 3.207 * * * * [progress]: [ 263 / 274 ] simplifiying candidate # 3.207 * * * * [progress]: [ 264 / 274 ] simplifiying candidate # 3.207 * * * * [progress]: [ 265 / 274 ] simplifiying candidate # 3.207 * * * * [progress]: [ 266 / 274 ] simplifiying candidate # 3.207 * * * * [progress]: [ 267 / 274 ] simplifiying candidate # 3.207 * * * * [progress]: [ 268 / 274 ] simplifiying candidate # 3.207 * * * * [progress]: [ 269 / 274 ] simplifiying candidate # 3.207 * * * * [progress]: [ 270 / 274 ] simplifiying candidate # 3.207 * * * * [progress]: [ 271 / 274 ] simplifiying candidate # 3.207 * * * * [progress]: [ 272 / 274 ] simplifiying candidate # 3.207 * * * * [progress]: [ 273 / 274 ] simplifiying candidate # 3.207 * * * * [progress]: [ 274 / 274 ] simplifiying candidate # 3.213 * [simplify]: Simplifying: (- (log (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (+ (log (+ a b)) (log (- b a)))) (- (log (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (log (* (+ a b) (- b a)))) (log (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))) (exp (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))) (/ (* (* (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* (- b a) (- b a)) (- b a)))) (/ (* (* (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (* (* (* (+ a b) (- b a)) (* (+ a b) (- b a))) (* (+ a b) (- b a)))) (* (cbrt (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))) (cbrt (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a))))) (cbrt (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))) (* (* (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a))) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))) (sqrt (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))) (sqrt (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (+ a b) (- b a)))) (- (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (- (* (+ a b) (- b a))) (/ (/ (/ PI 2) a) (* (+ a b) (- b a))) (/ (/ (/ PI 2) b) (* (+ a b) (- b a))) (/ (* (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (+ a b)) (/ (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (- b a)) (/ (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (+ a b)) (/ (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (- b a)) (/ 1 (+ a b)) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a)) (/ (+ (sqrt (/ (/ PI 2) a)) (sqrt (/ (/ PI 2) b))) (+ a b)) (/ (- (sqrt (/ (/ PI 2) a)) (sqrt (/ (/ PI 2) b))) (- b a)) (/ (+ (sqrt (/ (/ PI 2) a)) (/ (sqrt (/ PI 2)) (sqrt b))) (+ a b)) (/ (- (sqrt (/ (/ PI 2) a)) (/ (sqrt (/ PI 2)) (sqrt b))) (- b a)) (/ (+ (sqrt (/ (/ PI 2) a)) (/ (/ (sqrt PI) (sqrt 2)) (sqrt b))) (+ a b)) (/ (- (sqrt (/ (/ PI 2) a)) (/ (/ (sqrt PI) (sqrt 2)) (sqrt b))) (- b a)) (/ (+ (/ 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b))) (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) 3.223 * * [simplify]: iteration 1: (438 enodes) 3.385 * * [simplify]: iteration 2: (1073 enodes) 4.056 * * [simplify]: Extracting #0: cost 319 inf + 0 4.060 * * [simplify]: Extracting #1: cost 921 inf + 44 4.065 * * [simplify]: Extracting #2: cost 1260 inf + 4380 4.081 * * [simplify]: Extracting #3: cost 750 inf + 100285 4.149 * * [simplify]: Extracting #4: cost 124 inf + 277815 4.218 * * [simplify]: Extracting #5: cost 0 inf + 320021 4.294 * * [simplify]: Extracting #6: cost 0 inf + 319679 4.366 * [simplify]: Simplified to: (log (/ (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b)) (- b a))) (log (/ (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b)) (- b a))) (log (/ (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b)) (- b a))) (exp (/ (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b)) (- b a))) (* (* (/ (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b)) (- b a)) (/ (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a b)) (- b a))) (/ (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (+ a 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PI a) 2)))) (- (/ (/ PI b) 2)) (- (* (/ (/ PI a) 2) (/ (/ PI a) 2)) (* (/ (/ PI b) 2) (/ (/ PI b) 2))) (+ (/ (/ PI b) 2) (/ (/ PI a) 2)) (+ (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI b) 2))) (- (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI b) 2))) (+ (/ (sqrt (/ PI 2)) (sqrt b)) (sqrt (/ (/ PI a) 2))) (- (sqrt (/ (/ PI a) 2)) (/ (sqrt (/ PI 2)) (sqrt b))) (+ (/ (/ (sqrt PI) (sqrt b)) (sqrt 2)) (sqrt (/ (/ PI a) 2))) (- (sqrt (/ (/ PI a) 2)) (/ (/ (sqrt PI) (sqrt b)) (sqrt 2))) (+ (/ (sqrt (/ PI 2)) (sqrt a)) (sqrt (/ (/ PI b) 2))) (- (/ (sqrt (/ PI 2)) (sqrt a)) (sqrt (/ (/ PI b) 2))) (+ (/ (sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (/ PI 2)) (sqrt b))) (- (/ (sqrt (/ PI 2)) (sqrt a)) (/ (sqrt (/ PI 2)) (sqrt b))) (+ (/ (/ (sqrt PI) (sqrt b)) (sqrt 2)) (/ (sqrt (/ PI 2)) (sqrt a))) (- (/ (sqrt (/ PI 2)) (sqrt a)) (/ (/ (sqrt PI) (sqrt b)) (sqrt 2))) (+ (/ (sqrt PI) (* (sqrt a) (sqrt 2))) (sqrt (/ (/ PI b) 2))) (- (/ (sqrt PI) (* (sqrt a) (sqrt 2))) (sqrt (/ (/ PI b) 2))) (+ (/ (sqrt PI) (* (sqrt a) (sqrt 2))) (/ (sqrt (/ PI 2)) (sqrt b))) (- (/ (sqrt PI) (* (sqrt a) (sqrt 2))) (/ (sqrt (/ PI 2)) (sqrt b))) (+ (/ (/ (sqrt PI) (sqrt b)) (sqrt 2)) (/ (sqrt PI) (* (sqrt a) (sqrt 2)))) (- (/ (sqrt PI) (* (sqrt a) (sqrt 2))) (/ (/ (sqrt PI) (sqrt b)) (sqrt 2))) (- (/ (cbrt (/ PI 2)) a) (/ (cbrt (/ PI 2)) b)) (- (/ (sqrt (/ PI 2)) a) (/ (sqrt (/ PI 2)) b)) (- (/ (/ (cbrt PI) a) (cbrt 2)) (/ (cbrt PI) (* (cbrt 2) b))) (- (/ (cbrt PI) (* (sqrt 2) a)) (/ (/ (cbrt PI) (sqrt 2)) b)) (- (/ (/ (cbrt PI) 2) a) (/ (/ (cbrt PI) 2) b)) (- (/ (/ (sqrt PI) a) (cbrt 2)) (/ (sqrt PI) (* (cbrt 2) b))) (- (/ (/ (sqrt PI) (sqrt 2)) a) (/ (/ (sqrt PI) b) (sqrt 2))) (- (/ (sqrt PI) (* a 2)) (/ (sqrt PI) (/ b 1/2))) (- (/ PI (* a (cbrt 2))) (/ PI (* (cbrt 2) b))) (- (/ PI (* (sqrt 2) a)) (/ (/ PI b) (sqrt 2))) (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (- (/ 1/2 a) (/ 1/2 b)) (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (- (/ 1 a) (/ 1 b)) (- (/ (/ PI b) 2)) (real->posit16 (- (/ (/ PI a) 2) (/ (/ PI b) 2))) 0 0 0 (/ (* PI 1/2) a) (/ (* PI 1/2) a) (/ (* PI 1/2) a) (/ (* PI 1/2) b) (/ (* PI 1/2) b) (/ (* PI 1/2) b) (- (/ (* PI 1/2) a) (/ (* PI 1/2) b)) (- (/ (* PI 1/2) a) (/ (* PI 1/2) b)) (- (/ (* PI 1/2) a) (/ (* PI 1/2) b)) 4.406 * * * [progress]: adding candidates to table 7.217 * * [progress]: iteration 2 / 4 7.217 * * * [progress]: picking best candidate 7.249 * * * * [pick]: Picked # 7.249 * * * [progress]: localizing error 7.276 * * * [progress]: generating rewritten candidates 7.276 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 7.283 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 7.297 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 7.360 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 7.500 * * * [progress]: generating series expansions 7.500 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 7.501 * [backup-simplify]: Simplify (/ (/ PI 2) a) into (* 1/2 (/ PI a)) 7.501 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI a)) in (a) around 0 7.501 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 7.501 * [taylor]: Taking taylor expansion of 1/2 in a 7.501 * [backup-simplify]: Simplify 1/2 into 1/2 7.501 * [taylor]: Taking taylor expansion of (/ PI a) in a 7.501 * [taylor]: Taking taylor expansion of PI in a 7.501 * [backup-simplify]: Simplify PI into PI 7.501 * [taylor]: Taking taylor expansion of a in a 7.501 * [backup-simplify]: Simplify 0 into 0 7.501 * [backup-simplify]: Simplify 1 into 1 7.501 * [backup-simplify]: Simplify (/ PI 1) into PI 7.501 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 7.501 * [taylor]: Taking taylor expansion of 1/2 in a 7.501 * [backup-simplify]: Simplify 1/2 into 1/2 7.501 * [taylor]: Taking taylor expansion of (/ PI a) in a 7.502 * [taylor]: Taking taylor expansion of PI in a 7.502 * [backup-simplify]: Simplify PI into PI 7.502 * [taylor]: Taking taylor expansion of a in a 7.502 * [backup-simplify]: Simplify 0 into 0 7.502 * [backup-simplify]: Simplify 1 into 1 7.502 * [backup-simplify]: Simplify (/ PI 1) into PI 7.502 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.502 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 7.504 * [backup-simplify]: Simplify 0 into 0 7.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 7.505 * [backup-simplify]: Simplify 0 into 0 7.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.506 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.506 * [backup-simplify]: Simplify 0 into 0 7.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.508 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.508 * [backup-simplify]: Simplify 0 into 0 7.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.509 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 7.509 * [backup-simplify]: Simplify 0 into 0 7.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 7.511 * [backup-simplify]: Simplify 0 into 0 7.511 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) 7.512 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 a)) into (* 1/2 (* a PI)) 7.512 * [approximate]: Taking taylor expansion of (* 1/2 (* a PI)) in (a) around 0 7.512 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 7.512 * [taylor]: Taking taylor expansion of 1/2 in a 7.512 * [backup-simplify]: Simplify 1/2 into 1/2 7.512 * [taylor]: Taking taylor expansion of (* a PI) in a 7.512 * [taylor]: Taking taylor expansion of a in a 7.512 * [backup-simplify]: Simplify 0 into 0 7.512 * [backup-simplify]: Simplify 1 into 1 7.512 * [taylor]: Taking taylor expansion of PI in a 7.512 * [backup-simplify]: Simplify PI into PI 7.512 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 7.512 * [taylor]: Taking taylor expansion of 1/2 in a 7.512 * [backup-simplify]: Simplify 1/2 into 1/2 7.512 * [taylor]: Taking taylor expansion of (* a PI) in a 7.512 * [taylor]: Taking taylor expansion of a in a 7.512 * [backup-simplify]: Simplify 0 into 0 7.512 * [backup-simplify]: Simplify 1 into 1 7.512 * [taylor]: Taking taylor expansion of PI in a 7.512 * [backup-simplify]: Simplify PI into PI 7.512 * [backup-simplify]: Simplify (* 0 PI) into 0 7.512 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.512 * [backup-simplify]: Simplify 0 into 0 7.513 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.514 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 7.515 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.515 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.516 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.516 * [backup-simplify]: Simplify 0 into 0 7.517 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.519 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.519 * [backup-simplify]: Simplify 0 into 0 7.520 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.522 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 7.522 * [backup-simplify]: Simplify 0 into 0 7.523 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 7.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 7.525 * [backup-simplify]: Simplify 0 into 0 7.526 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 7.528 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 7.528 * [backup-simplify]: Simplify 0 into 0 7.530 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 7.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 7.532 * [backup-simplify]: Simplify 0 into 0 7.533 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) 7.533 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 (- a))) into (* -1/2 (* a PI)) 7.533 * [approximate]: Taking taylor expansion of (* -1/2 (* a PI)) in (a) around 0 7.533 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 7.533 * [taylor]: Taking taylor expansion of -1/2 in a 7.533 * [backup-simplify]: Simplify -1/2 into -1/2 7.533 * [taylor]: Taking taylor expansion of (* a PI) in a 7.533 * [taylor]: Taking taylor expansion of a in a 7.533 * [backup-simplify]: Simplify 0 into 0 7.533 * [backup-simplify]: Simplify 1 into 1 7.533 * [taylor]: Taking taylor expansion of PI in a 7.533 * [backup-simplify]: Simplify PI into PI 7.533 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 7.533 * [taylor]: Taking taylor expansion of -1/2 in a 7.533 * [backup-simplify]: Simplify -1/2 into -1/2 7.533 * [taylor]: Taking taylor expansion of (* a PI) in a 7.534 * [taylor]: Taking taylor expansion of a in a 7.534 * [backup-simplify]: Simplify 0 into 0 7.534 * [backup-simplify]: Simplify 1 into 1 7.534 * [taylor]: Taking taylor expansion of PI in a 7.534 * [backup-simplify]: Simplify PI into PI 7.534 * [backup-simplify]: Simplify (* 0 PI) into 0 7.534 * [backup-simplify]: Simplify (* -1/2 0) into 0 7.535 * [backup-simplify]: Simplify 0 into 0 7.536 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.537 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 7.538 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 7.539 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.540 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.540 * [backup-simplify]: Simplify 0 into 0 7.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.543 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.543 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.545 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 7.545 * [backup-simplify]: Simplify 0 into 0 7.547 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 7.548 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 7.548 * [backup-simplify]: Simplify 0 into 0 7.550 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 7.552 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 7.552 * [backup-simplify]: Simplify 0 into 0 7.554 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 7.556 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 7.556 * [backup-simplify]: Simplify 0 into 0 7.557 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (/ 1 (- a))) into (* 1/2 (/ PI a)) 7.557 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 7.557 * [backup-simplify]: Simplify (/ (/ PI 2) b) into (* 1/2 (/ PI b)) 7.557 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI b)) in (b) around 0 7.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 7.557 * [taylor]: Taking taylor expansion of 1/2 in b 7.557 * [backup-simplify]: Simplify 1/2 into 1/2 7.557 * [taylor]: Taking taylor expansion of (/ PI b) in b 7.557 * [taylor]: Taking taylor expansion of PI in b 7.557 * [backup-simplify]: Simplify PI into PI 7.558 * [taylor]: Taking taylor expansion of b in b 7.558 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify 1 into 1 7.558 * [backup-simplify]: Simplify (/ PI 1) into PI 7.558 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 7.558 * [taylor]: Taking taylor expansion of 1/2 in b 7.558 * [backup-simplify]: Simplify 1/2 into 1/2 7.558 * [taylor]: Taking taylor expansion of (/ PI b) in b 7.558 * [taylor]: Taking taylor expansion of PI in b 7.558 * [backup-simplify]: Simplify PI into PI 7.558 * [taylor]: Taking taylor expansion of b in b 7.558 * [backup-simplify]: Simplify 0 into 0 7.558 * [backup-simplify]: Simplify 1 into 1 7.559 * [backup-simplify]: Simplify (/ PI 1) into PI 7.559 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.560 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.573 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 7.573 * [backup-simplify]: Simplify 0 into 0 7.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 7.575 * [backup-simplify]: Simplify 0 into 0 7.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.578 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.580 * [backup-simplify]: Simplify 0 into 0 7.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 7.583 * [backup-simplify]: Simplify 0 into 0 7.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.586 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 7.586 * [backup-simplify]: Simplify 0 into 0 7.586 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 b)) into (* 1/2 (/ PI b)) 7.587 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 b)) into (* 1/2 (* b PI)) 7.587 * [approximate]: Taking taylor expansion of (* 1/2 (* b PI)) in (b) around 0 7.587 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 7.587 * [taylor]: Taking taylor expansion of 1/2 in b 7.587 * [backup-simplify]: Simplify 1/2 into 1/2 7.587 * [taylor]: Taking taylor expansion of (* b PI) in b 7.587 * [taylor]: Taking taylor expansion of b in b 7.587 * [backup-simplify]: Simplify 0 into 0 7.587 * [backup-simplify]: Simplify 1 into 1 7.587 * [taylor]: Taking taylor expansion of PI in b 7.587 * [backup-simplify]: Simplify PI into PI 7.587 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 7.587 * [taylor]: Taking taylor expansion of 1/2 in b 7.587 * [backup-simplify]: Simplify 1/2 into 1/2 7.587 * [taylor]: Taking taylor expansion of (* b PI) in b 7.587 * [taylor]: Taking taylor expansion of b in b 7.587 * [backup-simplify]: Simplify 0 into 0 7.587 * [backup-simplify]: Simplify 1 into 1 7.587 * [taylor]: Taking taylor expansion of PI in b 7.587 * [backup-simplify]: Simplify PI into PI 7.588 * [backup-simplify]: Simplify (* 0 PI) into 0 7.588 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.588 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.591 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 7.592 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.594 * [backup-simplify]: Simplify 0 into 0 7.595 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.596 * [backup-simplify]: Simplify 0 into 0 7.597 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 7.599 * [backup-simplify]: Simplify 0 into 0 7.600 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 7.602 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 7.602 * [backup-simplify]: Simplify 0 into 0 7.604 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 7.606 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 7.606 * [backup-simplify]: Simplify 0 into 0 7.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 7.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 7.610 * [backup-simplify]: Simplify 0 into 0 7.610 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 b)) into (* 1/2 (/ PI b)) 7.611 * [backup-simplify]: Simplify (/ (/ PI 2) (/ 1 (- b))) into (* -1/2 (* b PI)) 7.611 * [approximate]: Taking taylor expansion of (* -1/2 (* b PI)) in (b) around 0 7.611 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 7.611 * [taylor]: Taking taylor expansion of -1/2 in b 7.611 * [backup-simplify]: Simplify -1/2 into -1/2 7.611 * [taylor]: Taking taylor expansion of (* b PI) in b 7.611 * [taylor]: Taking taylor expansion of b in b 7.611 * [backup-simplify]: Simplify 0 into 0 7.611 * [backup-simplify]: Simplify 1 into 1 7.611 * [taylor]: Taking taylor expansion of PI in b 7.611 * [backup-simplify]: Simplify PI into PI 7.611 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 7.611 * [taylor]: Taking taylor expansion of -1/2 in b 7.611 * [backup-simplify]: Simplify -1/2 into -1/2 7.611 * [taylor]: Taking taylor expansion of (* b PI) in b 7.611 * [taylor]: Taking taylor expansion of b in b 7.611 * [backup-simplify]: Simplify 0 into 0 7.611 * [backup-simplify]: Simplify 1 into 1 7.611 * [taylor]: Taking taylor expansion of PI in b 7.612 * [backup-simplify]: Simplify PI into PI 7.612 * [backup-simplify]: Simplify (* 0 PI) into 0 7.612 * [backup-simplify]: Simplify (* -1/2 0) into 0 7.613 * [backup-simplify]: Simplify 0 into 0 7.614 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.616 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 7.617 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 7.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.619 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.619 * [backup-simplify]: Simplify 0 into 0 7.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.621 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.621 * [backup-simplify]: Simplify 0 into 0 7.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.625 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 7.625 * [backup-simplify]: Simplify 0 into 0 7.627 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 7.628 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 7.628 * [backup-simplify]: Simplify 0 into 0 7.631 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 7.632 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 7.633 * [backup-simplify]: Simplify 0 into 0 7.635 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 7.637 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 7.637 * [backup-simplify]: Simplify 0 into 0 7.638 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (/ 1 (- b))) into (* 1/2 (/ PI b)) 7.638 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 7.640 * [backup-simplify]: Simplify (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a)) into (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (- b a)) 7.640 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (- b a)) in (a b) around 0 7.640 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (- b a)) in b 7.640 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in b 7.640 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in b 7.640 * [taylor]: Taking taylor expansion of 1/2 in b 7.640 * [backup-simplify]: Simplify 1/2 into 1/2 7.640 * [taylor]: Taking taylor expansion of (/ PI a) in b 7.640 * [taylor]: Taking taylor expansion of PI in b 7.640 * [backup-simplify]: Simplify PI into PI 7.640 * [taylor]: Taking taylor expansion of a in b 7.640 * [backup-simplify]: Simplify a into a 7.640 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 7.640 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 7.640 * [taylor]: Taking taylor expansion of 1/2 in b 7.640 * [backup-simplify]: Simplify 1/2 into 1/2 7.640 * [taylor]: Taking taylor expansion of (/ PI b) in b 7.640 * [taylor]: Taking taylor expansion of PI in b 7.640 * [backup-simplify]: Simplify PI into PI 7.640 * [taylor]: Taking taylor expansion of b in b 7.640 * [backup-simplify]: Simplify 0 into 0 7.640 * [backup-simplify]: Simplify 1 into 1 7.641 * [backup-simplify]: Simplify (/ PI 1) into PI 7.641 * [taylor]: Taking taylor expansion of (- b a) in b 7.641 * [taylor]: Taking taylor expansion of b in b 7.641 * [backup-simplify]: Simplify 0 into 0 7.641 * [backup-simplify]: Simplify 1 into 1 7.641 * [taylor]: Taking taylor expansion of a in b 7.641 * [backup-simplify]: Simplify a into a 7.642 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.643 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 7.645 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) 7.645 * [backup-simplify]: Simplify (- a) into (- a) 7.645 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 7.646 * [backup-simplify]: Simplify (/ (- (* 1/2 PI)) (- a)) into (* 1/2 (/ PI a)) 7.646 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (- b a)) in a 7.646 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in a 7.646 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 7.646 * [taylor]: Taking taylor expansion of 1/2 in a 7.646 * [backup-simplify]: Simplify 1/2 into 1/2 7.646 * [taylor]: Taking taylor expansion of (/ PI a) in a 7.646 * [taylor]: Taking taylor expansion of PI in a 7.646 * [backup-simplify]: Simplify PI into PI 7.646 * [taylor]: Taking taylor expansion of a in a 7.646 * [backup-simplify]: Simplify 0 into 0 7.646 * [backup-simplify]: Simplify 1 into 1 7.647 * [backup-simplify]: Simplify (/ PI 1) into PI 7.647 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in a 7.647 * [taylor]: Taking taylor expansion of 1/2 in a 7.647 * [backup-simplify]: Simplify 1/2 into 1/2 7.647 * [taylor]: Taking taylor expansion of (/ PI b) in a 7.647 * [taylor]: Taking taylor expansion of PI in a 7.647 * [backup-simplify]: Simplify PI into PI 7.647 * [taylor]: Taking taylor expansion of b in a 7.647 * [backup-simplify]: Simplify b into b 7.647 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 7.647 * [taylor]: Taking taylor expansion of (- b a) in a 7.647 * [taylor]: Taking taylor expansion of b in a 7.647 * [backup-simplify]: Simplify b into b 7.647 * [taylor]: Taking taylor expansion of a in a 7.647 * [backup-simplify]: Simplify 0 into 0 7.647 * [backup-simplify]: Simplify 1 into 1 7.648 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.649 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 7.650 * [backup-simplify]: Simplify (- 0) into 0 7.650 * [backup-simplify]: Simplify (+ b 0) into b 7.650 * [backup-simplify]: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) 7.650 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (- b a)) in a 7.650 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in a 7.650 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 7.650 * [taylor]: Taking taylor expansion of 1/2 in a 7.650 * [backup-simplify]: Simplify 1/2 into 1/2 7.650 * [taylor]: Taking taylor expansion of (/ PI a) in a 7.650 * [taylor]: Taking taylor expansion of PI in a 7.650 * [backup-simplify]: Simplify PI into PI 7.650 * [taylor]: Taking taylor expansion of a in a 7.650 * [backup-simplify]: Simplify 0 into 0 7.650 * [backup-simplify]: Simplify 1 into 1 7.651 * [backup-simplify]: Simplify (/ PI 1) into PI 7.651 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in a 7.651 * [taylor]: Taking taylor expansion of 1/2 in a 7.651 * [backup-simplify]: Simplify 1/2 into 1/2 7.651 * [taylor]: Taking taylor expansion of (/ PI b) in a 7.651 * [taylor]: Taking taylor expansion of PI in a 7.651 * [backup-simplify]: Simplify PI into PI 7.651 * [taylor]: Taking taylor expansion of b in a 7.651 * [backup-simplify]: Simplify b into b 7.651 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 7.651 * [taylor]: Taking taylor expansion of (- b a) in a 7.651 * [taylor]: Taking taylor expansion of b in a 7.651 * [backup-simplify]: Simplify b into b 7.651 * [taylor]: Taking taylor expansion of a in a 7.651 * [backup-simplify]: Simplify 0 into 0 7.651 * [backup-simplify]: Simplify 1 into 1 7.652 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.653 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 7.654 * [backup-simplify]: Simplify (- 0) into 0 7.654 * [backup-simplify]: Simplify (+ b 0) into b 7.654 * [backup-simplify]: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) 7.654 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 7.654 * [taylor]: Taking taylor expansion of 1/2 in b 7.654 * [backup-simplify]: Simplify 1/2 into 1/2 7.654 * [taylor]: Taking taylor expansion of (/ PI b) in b 7.654 * [taylor]: Taking taylor expansion of PI in b 7.654 * [backup-simplify]: Simplify PI into PI 7.654 * [taylor]: Taking taylor expansion of b in b 7.654 * [backup-simplify]: Simplify 0 into 0 7.655 * [backup-simplify]: Simplify 1 into 1 7.655 * [backup-simplify]: Simplify (/ PI 1) into PI 7.656 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.656 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.658 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 7.658 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 7.658 * [backup-simplify]: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) 7.658 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ PI b)))) into (- (* 1/2 (/ PI b))) 7.659 * [backup-simplify]: Simplify (- 1) into -1 7.659 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.660 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ PI b))) b) (+ (* (* 1/2 (/ PI b)) (/ -1 b)))) into 0 7.660 * [taylor]: Taking taylor expansion of 0 in b 7.660 * [backup-simplify]: Simplify 0 into 0 7.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.661 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 7.661 * [backup-simplify]: Simplify 0 into 0 7.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.664 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 7.664 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 7.664 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI b))) into 0 7.665 * [backup-simplify]: Simplify (- 0) into 0 7.665 * [backup-simplify]: Simplify (+ 0 0) into 0 7.666 * [backup-simplify]: Simplify (- 0) into 0 7.666 * [backup-simplify]: Simplify (+ 0 0) into 0 7.666 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* 0 (/ -1 b)))) into 0 7.666 * [taylor]: Taking taylor expansion of 0 in b 7.666 * [backup-simplify]: Simplify 0 into 0 7.666 * [backup-simplify]: Simplify 0 into 0 7.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.669 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 7.669 * [backup-simplify]: Simplify 0 into 0 7.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.671 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.671 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 7.672 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ PI b)))) into 0 7.673 * [backup-simplify]: Simplify (- 0) into 0 7.673 * [backup-simplify]: Simplify (+ 0 0) into 0 7.673 * [backup-simplify]: Simplify (- 0) into 0 7.674 * [backup-simplify]: Simplify (+ 0 0) into 0 7.674 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ -1 b)))) into 0 7.674 * [taylor]: Taking taylor expansion of 0 in b 7.674 * [backup-simplify]: Simplify 0 into 0 7.674 * [backup-simplify]: Simplify 0 into 0 7.674 * [backup-simplify]: Simplify 0 into 0 7.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.677 * [backup-simplify]: Simplify 0 into 0 7.677 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) 7.679 * [backup-simplify]: Simplify (/ (- (/ (/ PI 2) (/ 1 a)) (/ (/ PI 2) (/ 1 b))) (- (/ 1 b) (/ 1 a))) into (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (- (/ 1 b) (/ 1 a))) 7.679 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (- (/ 1 b) (/ 1 a))) in (a b) around 0 7.679 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (- (/ 1 b) (/ 1 a))) in b 7.679 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in b 7.679 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 7.679 * [taylor]: Taking taylor expansion of 1/2 in b 7.680 * [backup-simplify]: Simplify 1/2 into 1/2 7.680 * [taylor]: Taking taylor expansion of (* a PI) in b 7.680 * [taylor]: Taking taylor expansion of a in b 7.680 * [backup-simplify]: Simplify a into a 7.680 * [taylor]: Taking taylor expansion of PI in b 7.680 * [backup-simplify]: Simplify PI into PI 7.680 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 7.680 * [taylor]: Taking taylor expansion of 1/2 in b 7.680 * [backup-simplify]: Simplify 1/2 into 1/2 7.680 * [taylor]: Taking taylor expansion of (* b PI) in b 7.680 * [taylor]: Taking taylor expansion of b in b 7.680 * [backup-simplify]: Simplify 0 into 0 7.680 * [backup-simplify]: Simplify 1 into 1 7.680 * [taylor]: Taking taylor expansion of PI in b 7.680 * [backup-simplify]: Simplify PI into PI 7.680 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 7.680 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.680 * [taylor]: Taking taylor expansion of b in b 7.680 * [backup-simplify]: Simplify 0 into 0 7.680 * [backup-simplify]: Simplify 1 into 1 7.681 * [backup-simplify]: Simplify (/ 1 1) into 1 7.681 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.681 * [taylor]: Taking taylor expansion of a in b 7.681 * [backup-simplify]: Simplify a into a 7.681 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.681 * [backup-simplify]: Simplify (* a PI) into (* a PI) 7.681 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 7.681 * [backup-simplify]: Simplify (* 0 PI) into 0 7.682 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.682 * [backup-simplify]: Simplify (- 0) into 0 7.682 * [backup-simplify]: Simplify (+ (* 1/2 (* a PI)) 0) into (* 1/2 (* a PI)) 7.683 * [backup-simplify]: Simplify (+ 1 0) into 1 7.683 * [backup-simplify]: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) 7.683 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (- (/ 1 b) (/ 1 a))) in a 7.683 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in a 7.683 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 7.683 * [taylor]: Taking taylor expansion of 1/2 in a 7.683 * [backup-simplify]: Simplify 1/2 into 1/2 7.683 * [taylor]: Taking taylor expansion of (* a PI) in a 7.683 * [taylor]: Taking taylor expansion of a in a 7.683 * [backup-simplify]: Simplify 0 into 0 7.683 * [backup-simplify]: Simplify 1 into 1 7.683 * [taylor]: Taking taylor expansion of PI in a 7.683 * [backup-simplify]: Simplify PI into PI 7.683 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 7.683 * [taylor]: Taking taylor expansion of 1/2 in a 7.683 * [backup-simplify]: Simplify 1/2 into 1/2 7.683 * [taylor]: Taking taylor expansion of (* b PI) in a 7.683 * [taylor]: Taking taylor expansion of b in a 7.683 * [backup-simplify]: Simplify b into b 7.683 * [taylor]: Taking taylor expansion of PI in a 7.683 * [backup-simplify]: Simplify PI into PI 7.684 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 7.684 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.684 * [taylor]: Taking taylor expansion of b in a 7.684 * [backup-simplify]: Simplify b into b 7.684 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.684 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.684 * [taylor]: Taking taylor expansion of a in a 7.684 * [backup-simplify]: Simplify 0 into 0 7.684 * [backup-simplify]: Simplify 1 into 1 7.684 * [backup-simplify]: Simplify (/ 1 1) into 1 7.685 * [backup-simplify]: Simplify (* 0 PI) into 0 7.685 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.685 * [backup-simplify]: Simplify (* b PI) into (* PI b) 7.685 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 7.685 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 7.686 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 7.686 * [backup-simplify]: Simplify (- 1) into -1 7.686 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.687 * [backup-simplify]: Simplify (/ (- (* 1/2 (* PI b))) -1) into (* 1/2 (* b PI)) 7.687 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (- (/ 1 b) (/ 1 a))) in a 7.687 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in a 7.687 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 7.687 * [taylor]: Taking taylor expansion of 1/2 in a 7.687 * [backup-simplify]: Simplify 1/2 into 1/2 7.687 * [taylor]: Taking taylor expansion of (* a PI) in a 7.687 * [taylor]: Taking taylor expansion of a in a 7.687 * [backup-simplify]: Simplify 0 into 0 7.687 * [backup-simplify]: Simplify 1 into 1 7.687 * [taylor]: Taking taylor expansion of PI in a 7.687 * [backup-simplify]: Simplify PI into PI 7.687 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 7.687 * [taylor]: Taking taylor expansion of 1/2 in a 7.687 * [backup-simplify]: Simplify 1/2 into 1/2 7.687 * [taylor]: Taking taylor expansion of (* b PI) in a 7.687 * [taylor]: Taking taylor expansion of b in a 7.687 * [backup-simplify]: Simplify b into b 7.687 * [taylor]: Taking taylor expansion of PI in a 7.687 * [backup-simplify]: Simplify PI into PI 7.687 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 7.687 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.687 * [taylor]: Taking taylor expansion of b in a 7.687 * [backup-simplify]: Simplify b into b 7.687 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.687 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.687 * [taylor]: Taking taylor expansion of a in a 7.687 * [backup-simplify]: Simplify 0 into 0 7.687 * [backup-simplify]: Simplify 1 into 1 7.688 * [backup-simplify]: Simplify (/ 1 1) into 1 7.688 * [backup-simplify]: Simplify (* 0 PI) into 0 7.689 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.689 * [backup-simplify]: Simplify (* b PI) into (* PI b) 7.689 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 7.689 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 7.689 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 7.690 * [backup-simplify]: Simplify (- 1) into -1 7.690 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.690 * [backup-simplify]: Simplify (/ (- (* 1/2 (* PI b))) -1) into (* 1/2 (* b PI)) 7.691 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 7.691 * [taylor]: Taking taylor expansion of 1/2 in b 7.691 * [backup-simplify]: Simplify 1/2 into 1/2 7.691 * [taylor]: Taking taylor expansion of (* b PI) in b 7.691 * [taylor]: Taking taylor expansion of b in b 7.691 * [backup-simplify]: Simplify 0 into 0 7.691 * [backup-simplify]: Simplify 1 into 1 7.691 * [taylor]: Taking taylor expansion of PI in b 7.691 * [backup-simplify]: Simplify PI into PI 7.693 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.693 * [backup-simplify]: Simplify (* 0 PI) into 0 7.695 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 7.695 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.697 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.699 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 7.699 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 7.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 7.700 * [backup-simplify]: Simplify (- 0) into 0 7.701 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 7.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.702 * [backup-simplify]: Simplify (- 0) into 0 7.703 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 7.704 * [backup-simplify]: Simplify (- (/ (* 1/2 PI) -1) (+ (* (* 1/2 (* b PI)) (/ (/ 1 b) -1)))) into 0 7.704 * [taylor]: Taking taylor expansion of 0 in b 7.704 * [backup-simplify]: Simplify 0 into 0 7.704 * [backup-simplify]: Simplify 0 into 0 7.705 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.706 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.707 * [backup-simplify]: Simplify 0 into 0 7.708 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.709 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.709 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 7.710 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* PI b)))) into 0 7.711 * [backup-simplify]: Simplify (- 0) into 0 7.711 * [backup-simplify]: Simplify (+ 0 0) into 0 7.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 7.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.713 * [backup-simplify]: Simplify (- 0) into 0 7.713 * [backup-simplify]: Simplify (+ 0 0) into 0 7.714 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1/2 (* b PI)) (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 7.714 * [taylor]: Taking taylor expansion of 0 in b 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [backup-simplify]: Simplify 0 into 0 7.716 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.717 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.717 * [backup-simplify]: Simplify 0 into 0 7.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.720 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 7.722 * [backup-simplify]: Simplify (- 0) into 0 7.722 * [backup-simplify]: Simplify (+ 0 0) into 0 7.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 7.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.724 * [backup-simplify]: Simplify (- 0) into 0 7.724 * [backup-simplify]: Simplify (+ 0 0) into 0 7.733 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1/2 (* b PI)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 7.733 * [taylor]: Taking taylor expansion of 0 in b 7.733 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify 0 into 0 7.733 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) 7.735 * [backup-simplify]: Simplify (/ (- (/ (/ PI 2) (/ 1 (- a))) (/ (/ PI 2) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) into (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (- (/ 1 a) (/ 1 b))) 7.735 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (- (/ 1 a) (/ 1 b))) in (a b) around 0 7.735 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (- (/ 1 a) (/ 1 b))) in b 7.735 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in b 7.735 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 7.735 * [taylor]: Taking taylor expansion of 1/2 in b 7.735 * [backup-simplify]: Simplify 1/2 into 1/2 7.735 * [taylor]: Taking taylor expansion of (* b PI) in b 7.735 * [taylor]: Taking taylor expansion of b in b 7.735 * [backup-simplify]: Simplify 0 into 0 7.735 * [backup-simplify]: Simplify 1 into 1 7.735 * [taylor]: Taking taylor expansion of PI in b 7.735 * [backup-simplify]: Simplify PI into PI 7.735 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 7.735 * [taylor]: Taking taylor expansion of 1/2 in b 7.735 * [backup-simplify]: Simplify 1/2 into 1/2 7.735 * [taylor]: Taking taylor expansion of (* a PI) in b 7.735 * [taylor]: Taking taylor expansion of a in b 7.735 * [backup-simplify]: Simplify a into a 7.735 * [taylor]: Taking taylor expansion of PI in b 7.735 * [backup-simplify]: Simplify PI into PI 7.735 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 7.735 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.735 * [taylor]: Taking taylor expansion of a in b 7.735 * [backup-simplify]: Simplify a into a 7.736 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.736 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.736 * [taylor]: Taking taylor expansion of b in b 7.736 * [backup-simplify]: Simplify 0 into 0 7.736 * [backup-simplify]: Simplify 1 into 1 7.736 * [backup-simplify]: Simplify (/ 1 1) into 1 7.737 * [backup-simplify]: Simplify (* 0 PI) into 0 7.737 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.737 * [backup-simplify]: Simplify (* a PI) into (* a PI) 7.737 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 7.737 * [backup-simplify]: Simplify (- (* 1/2 (* a PI))) into (- (* 1/2 (* a PI))) 7.737 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* a PI)))) into (- (* 1/2 (* a PI))) 7.738 * [backup-simplify]: Simplify (- 1) into -1 7.738 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.738 * [backup-simplify]: Simplify (/ (- (* 1/2 (* a PI))) -1) into (* 1/2 (* a PI)) 7.738 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (- (/ 1 a) (/ 1 b))) in a 7.739 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in a 7.739 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 7.739 * [taylor]: Taking taylor expansion of 1/2 in a 7.739 * [backup-simplify]: Simplify 1/2 into 1/2 7.739 * [taylor]: Taking taylor expansion of (* b PI) in a 7.739 * [taylor]: Taking taylor expansion of b in a 7.739 * [backup-simplify]: Simplify b into b 7.739 * [taylor]: Taking taylor expansion of PI in a 7.739 * [backup-simplify]: Simplify PI into PI 7.739 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 7.739 * [taylor]: Taking taylor expansion of 1/2 in a 7.739 * [backup-simplify]: Simplify 1/2 into 1/2 7.739 * [taylor]: Taking taylor expansion of (* a PI) in a 7.739 * [taylor]: Taking taylor expansion of a in a 7.739 * [backup-simplify]: Simplify 0 into 0 7.739 * [backup-simplify]: Simplify 1 into 1 7.739 * [taylor]: Taking taylor expansion of PI in a 7.739 * [backup-simplify]: Simplify PI into PI 7.739 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 7.739 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.739 * [taylor]: Taking taylor expansion of a in a 7.739 * [backup-simplify]: Simplify 0 into 0 7.739 * [backup-simplify]: Simplify 1 into 1 7.740 * [backup-simplify]: Simplify (/ 1 1) into 1 7.740 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.740 * [taylor]: Taking taylor expansion of b in a 7.740 * [backup-simplify]: Simplify b into b 7.740 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.740 * [backup-simplify]: Simplify (* b PI) into (* PI b) 7.740 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 7.740 * [backup-simplify]: Simplify (* 0 PI) into 0 7.741 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.742 * [backup-simplify]: Simplify (- 0) into 0 7.742 * [backup-simplify]: Simplify (+ (* 1/2 (* PI b)) 0) into (* 1/2 (* PI b)) 7.742 * [backup-simplify]: Simplify (+ 1 0) into 1 7.742 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 7.742 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (- (/ 1 a) (/ 1 b))) in a 7.742 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in a 7.742 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 7.742 * [taylor]: Taking taylor expansion of 1/2 in a 7.742 * [backup-simplify]: Simplify 1/2 into 1/2 7.742 * [taylor]: Taking taylor expansion of (* b PI) in a 7.742 * [taylor]: Taking taylor expansion of b in a 7.742 * [backup-simplify]: Simplify b into b 7.742 * [taylor]: Taking taylor expansion of PI in a 7.743 * [backup-simplify]: Simplify PI into PI 7.743 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 7.743 * [taylor]: Taking taylor expansion of 1/2 in a 7.743 * [backup-simplify]: Simplify 1/2 into 1/2 7.743 * [taylor]: Taking taylor expansion of (* a PI) in a 7.743 * [taylor]: Taking taylor expansion of a in a 7.743 * [backup-simplify]: Simplify 0 into 0 7.743 * [backup-simplify]: Simplify 1 into 1 7.743 * [taylor]: Taking taylor expansion of PI in a 7.743 * [backup-simplify]: Simplify PI into PI 7.743 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 7.743 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.743 * [taylor]: Taking taylor expansion of a in a 7.743 * [backup-simplify]: Simplify 0 into 0 7.743 * [backup-simplify]: Simplify 1 into 1 7.743 * [backup-simplify]: Simplify (/ 1 1) into 1 7.743 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.743 * [taylor]: Taking taylor expansion of b in a 7.743 * [backup-simplify]: Simplify b into b 7.743 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.744 * [backup-simplify]: Simplify (* b PI) into (* PI b) 7.744 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 7.744 * [backup-simplify]: Simplify (* 0 PI) into 0 7.745 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.745 * [backup-simplify]: Simplify (- 0) into 0 7.745 * [backup-simplify]: Simplify (+ (* 1/2 (* PI b)) 0) into (* 1/2 (* PI b)) 7.746 * [backup-simplify]: Simplify (+ 1 0) into 1 7.746 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 7.746 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 7.746 * [taylor]: Taking taylor expansion of 1/2 in b 7.746 * [backup-simplify]: Simplify 1/2 into 1/2 7.746 * [taylor]: Taking taylor expansion of (* b PI) in b 7.746 * [taylor]: Taking taylor expansion of b in b 7.746 * [backup-simplify]: Simplify 0 into 0 7.746 * [backup-simplify]: Simplify 1 into 1 7.746 * [taylor]: Taking taylor expansion of PI in b 7.746 * [backup-simplify]: Simplify PI into PI 7.748 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.748 * [backup-simplify]: Simplify (* 0 PI) into 0 7.750 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 7.750 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.751 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 7.752 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 7.753 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.755 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 7.756 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 7.757 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) 7.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.758 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 7.758 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 7.760 * [backup-simplify]: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* b PI)) (/ (- (/ 1 b)) 1)))) into 0 7.760 * [taylor]: Taking taylor expansion of 0 in b 7.761 * [backup-simplify]: Simplify 0 into 0 7.761 * [backup-simplify]: Simplify 0 into 0 7.762 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.763 * [backup-simplify]: Simplify 0 into 0 7.763 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 7.764 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* PI b)))) into 0 7.765 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.766 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.767 * [backup-simplify]: Simplify (- 0) into 0 7.767 * [backup-simplify]: Simplify (+ 0 0) into 0 7.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 7.769 * [backup-simplify]: Simplify (- 0) into 0 7.769 * [backup-simplify]: Simplify (+ 0 0) into 0 7.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 (* b PI)) (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 7.770 * [taylor]: Taking taylor expansion of 0 in b 7.770 * [backup-simplify]: Simplify 0 into 0 7.770 * [backup-simplify]: Simplify 0 into 0 7.770 * [backup-simplify]: Simplify 0 into 0 7.772 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.773 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.773 * [backup-simplify]: Simplify 0 into 0 7.774 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.775 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 7.776 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.778 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.778 * [backup-simplify]: Simplify (- 0) into 0 7.778 * [backup-simplify]: Simplify (+ 0 0) into 0 7.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 7.780 * [backup-simplify]: Simplify (- 0) into 0 7.781 * [backup-simplify]: Simplify (+ 0 0) into 0 7.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 (* b PI)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 7.782 * [taylor]: Taking taylor expansion of 0 in b 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify 0 into 0 7.783 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 (- b)) (/ 1 (- a)))) into (* 1/2 (/ PI (* a b))) 7.783 * * * * [progress]: [ 4 / 4 ] generating series at (2) 7.784 * [backup-simplify]: Simplify (* (/ 1 (+ a b)) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a))) into (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) 7.784 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) in (a b) around 0 7.784 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) in b 7.784 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in b 7.785 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in b 7.785 * [taylor]: Taking taylor expansion of 1/2 in b 7.785 * [backup-simplify]: Simplify 1/2 into 1/2 7.785 * [taylor]: Taking taylor expansion of (/ PI a) in b 7.785 * [taylor]: Taking taylor expansion of PI in b 7.785 * [backup-simplify]: Simplify PI into PI 7.785 * [taylor]: Taking taylor expansion of a in b 7.785 * [backup-simplify]: Simplify a into a 7.785 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 7.785 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 7.785 * [taylor]: Taking taylor expansion of 1/2 in b 7.785 * [backup-simplify]: Simplify 1/2 into 1/2 7.785 * [taylor]: Taking taylor expansion of (/ PI b) in b 7.785 * [taylor]: Taking taylor expansion of PI in b 7.785 * [backup-simplify]: Simplify PI into PI 7.785 * [taylor]: Taking taylor expansion of b in b 7.785 * [backup-simplify]: Simplify 0 into 0 7.785 * [backup-simplify]: Simplify 1 into 1 7.786 * [backup-simplify]: Simplify (/ PI 1) into PI 7.786 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 7.786 * [taylor]: Taking taylor expansion of (- b a) in b 7.786 * [taylor]: Taking taylor expansion of b in b 7.786 * [backup-simplify]: Simplify 0 into 0 7.786 * [backup-simplify]: Simplify 1 into 1 7.786 * [taylor]: Taking taylor expansion of a in b 7.786 * [backup-simplify]: Simplify a into a 7.786 * [taylor]: Taking taylor expansion of (+ a b) in b 7.786 * [taylor]: Taking taylor expansion of a in b 7.786 * [backup-simplify]: Simplify a into a 7.786 * [taylor]: Taking taylor expansion of b in b 7.786 * [backup-simplify]: Simplify 0 into 0 7.786 * [backup-simplify]: Simplify 1 into 1 7.786 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.787 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 7.789 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) 7.789 * [backup-simplify]: Simplify (- a) into (- a) 7.789 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 7.790 * [backup-simplify]: Simplify (+ a 0) into a 7.790 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 7.791 * [backup-simplify]: Simplify (/ (- (* 1/2 PI)) (* -1 (pow a 2))) into (* 1/2 (/ PI (pow a 2))) 7.791 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) in a 7.791 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in a 7.791 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 7.791 * [taylor]: Taking taylor expansion of 1/2 in a 7.791 * [backup-simplify]: Simplify 1/2 into 1/2 7.791 * [taylor]: Taking taylor expansion of (/ PI a) in a 7.791 * [taylor]: Taking taylor expansion of PI in a 7.791 * [backup-simplify]: Simplify PI into PI 7.791 * [taylor]: Taking taylor expansion of a in a 7.791 * [backup-simplify]: Simplify 0 into 0 7.791 * [backup-simplify]: Simplify 1 into 1 7.792 * [backup-simplify]: Simplify (/ PI 1) into PI 7.792 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in a 7.792 * [taylor]: Taking taylor expansion of 1/2 in a 7.792 * [backup-simplify]: Simplify 1/2 into 1/2 7.792 * [taylor]: Taking taylor expansion of (/ PI b) in a 7.792 * [taylor]: Taking taylor expansion of PI in a 7.792 * [backup-simplify]: Simplify PI into PI 7.792 * [taylor]: Taking taylor expansion of b in a 7.792 * [backup-simplify]: Simplify b into b 7.792 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 7.792 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 7.792 * [taylor]: Taking taylor expansion of (- b a) in a 7.792 * [taylor]: Taking taylor expansion of b in a 7.792 * [backup-simplify]: Simplify b into b 7.792 * [taylor]: Taking taylor expansion of a in a 7.792 * [backup-simplify]: Simplify 0 into 0 7.792 * [backup-simplify]: Simplify 1 into 1 7.792 * [taylor]: Taking taylor expansion of (+ a b) in a 7.792 * [taylor]: Taking taylor expansion of a in a 7.792 * [backup-simplify]: Simplify 0 into 0 7.792 * [backup-simplify]: Simplify 1 into 1 7.792 * [taylor]: Taking taylor expansion of b in a 7.792 * [backup-simplify]: Simplify b into b 7.793 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.794 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 7.795 * [backup-simplify]: Simplify (- 0) into 0 7.795 * [backup-simplify]: Simplify (+ b 0) into b 7.795 * [backup-simplify]: Simplify (+ 0 b) into b 7.795 * [backup-simplify]: Simplify (* b b) into (pow b 2) 7.795 * [backup-simplify]: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) 7.795 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) in a 7.795 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in a 7.795 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 7.796 * [taylor]: Taking taylor expansion of 1/2 in a 7.796 * [backup-simplify]: Simplify 1/2 into 1/2 7.796 * [taylor]: Taking taylor expansion of (/ PI a) in a 7.796 * [taylor]: Taking taylor expansion of PI in a 7.796 * [backup-simplify]: Simplify PI into PI 7.796 * [taylor]: Taking taylor expansion of a in a 7.796 * [backup-simplify]: Simplify 0 into 0 7.796 * [backup-simplify]: Simplify 1 into 1 7.796 * [backup-simplify]: Simplify (/ PI 1) into PI 7.796 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in a 7.796 * [taylor]: Taking taylor expansion of 1/2 in a 7.796 * [backup-simplify]: Simplify 1/2 into 1/2 7.796 * [taylor]: Taking taylor expansion of (/ PI b) in a 7.796 * [taylor]: Taking taylor expansion of PI in a 7.796 * [backup-simplify]: Simplify PI into PI 7.796 * [taylor]: Taking taylor expansion of b in a 7.796 * [backup-simplify]: Simplify b into b 7.797 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 7.797 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 7.797 * [taylor]: Taking taylor expansion of (- b a) in a 7.797 * [taylor]: Taking taylor expansion of b in a 7.797 * [backup-simplify]: Simplify b into b 7.797 * [taylor]: Taking taylor expansion of a in a 7.797 * [backup-simplify]: Simplify 0 into 0 7.797 * [backup-simplify]: Simplify 1 into 1 7.797 * [taylor]: Taking taylor expansion of (+ a b) in a 7.797 * [taylor]: Taking taylor expansion of a in a 7.797 * [backup-simplify]: Simplify 0 into 0 7.797 * [backup-simplify]: Simplify 1 into 1 7.797 * [taylor]: Taking taylor expansion of b in a 7.797 * [backup-simplify]: Simplify b into b 7.797 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 7.799 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 7.799 * [backup-simplify]: Simplify (- 0) into 0 7.799 * [backup-simplify]: Simplify (+ b 0) into b 7.799 * [backup-simplify]: Simplify (+ 0 b) into b 7.799 * [backup-simplify]: Simplify (* b b) into (pow b 2) 7.800 * [backup-simplify]: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) 7.800 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 7.800 * [taylor]: Taking taylor expansion of 1/2 in b 7.800 * [backup-simplify]: Simplify 1/2 into 1/2 7.800 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 7.800 * [taylor]: Taking taylor expansion of PI in b 7.800 * [backup-simplify]: Simplify PI into PI 7.800 * [taylor]: Taking taylor expansion of (pow b 2) in b 7.800 * [taylor]: Taking taylor expansion of b in b 7.800 * [backup-simplify]: Simplify 0 into 0 7.800 * [backup-simplify]: Simplify 1 into 1 7.801 * [backup-simplify]: Simplify (* 1 1) into 1 7.801 * [backup-simplify]: Simplify (/ PI 1) into PI 7.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 7.804 * [backup-simplify]: Simplify 0 into 0 7.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.807 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 7.807 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 7.807 * [backup-simplify]: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) 7.807 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ PI b)))) into (- (* 1/2 (/ PI b))) 7.808 * [backup-simplify]: Simplify (+ 1 0) into 1 7.808 * [backup-simplify]: Simplify (- 1) into -1 7.809 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.809 * [backup-simplify]: Simplify (+ (* b 1) (* -1 b)) into 0 7.809 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ PI b))) (pow b 2)) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 (pow b 2))))) into (- (* 1/2 (/ PI (pow b 3)))) 7.810 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 7.810 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 7.810 * [taylor]: Taking taylor expansion of 1/2 in b 7.810 * [backup-simplify]: Simplify 1/2 into 1/2 7.810 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 7.810 * [taylor]: Taking taylor expansion of PI in b 7.810 * [backup-simplify]: Simplify PI into PI 7.810 * [taylor]: Taking taylor expansion of (pow b 3) in b 7.810 * [taylor]: Taking taylor expansion of b in b 7.810 * [backup-simplify]: Simplify 0 into 0 7.810 * [backup-simplify]: Simplify 1 into 1 7.810 * [backup-simplify]: Simplify (* 1 1) into 1 7.811 * [backup-simplify]: Simplify (* 1 1) into 1 7.811 * [backup-simplify]: Simplify (/ PI 1) into PI 7.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 7.817 * [backup-simplify]: Simplify (- 0) into 0 7.817 * [backup-simplify]: Simplify 0 into 0 7.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.818 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 7.819 * [backup-simplify]: Simplify 0 into 0 7.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 7.820 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 7.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI b))) into 0 7.820 * [backup-simplify]: Simplify (- 0) into 0 7.821 * [backup-simplify]: Simplify (+ 0 0) into 0 7.821 * [backup-simplify]: Simplify (+ 0 0) into 0 7.821 * [backup-simplify]: Simplify (- 0) into 0 7.821 * [backup-simplify]: Simplify (+ 0 0) into 0 7.822 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 1) (* 0 b))) into (- 1) 7.822 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (* 1/2 (/ PI (pow b 2))) (/ (- 1) (pow b 2))) (* (- (* 1/2 (/ PI (pow b 3)))) (/ 0 (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 7.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 7.822 * [taylor]: Taking taylor expansion of 1/2 in b 7.822 * [backup-simplify]: Simplify 1/2 into 1/2 7.822 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 7.822 * [taylor]: Taking taylor expansion of PI in b 7.822 * [backup-simplify]: Simplify PI into PI 7.822 * [taylor]: Taking taylor expansion of (pow b 4) in b 7.822 * [taylor]: Taking taylor expansion of b in b 7.822 * [backup-simplify]: Simplify 0 into 0 7.822 * [backup-simplify]: Simplify 1 into 1 7.823 * [backup-simplify]: Simplify (* 1 1) into 1 7.823 * [backup-simplify]: Simplify (* 1 1) into 1 7.823 * [backup-simplify]: Simplify (/ PI 1) into PI 7.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.831 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.832 * [backup-simplify]: Simplify (- 0) into 0 7.832 * [backup-simplify]: Simplify 0 into 0 7.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.833 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.833 * [backup-simplify]: Simplify 0 into 0 7.833 * [backup-simplify]: Simplify 0 into 0 7.834 * [backup-simplify]: Simplify (* (/ 1 (+ (/ 1 a) (/ 1 b))) (/ (- (/ (/ PI 2) (/ 1 a)) (/ (/ PI 2) (/ 1 b))) (- (/ 1 b) (/ 1 a)))) into (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) 7.834 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 7.834 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 7.834 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in b 7.834 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 7.834 * [taylor]: Taking taylor expansion of 1/2 in b 7.834 * [backup-simplify]: Simplify 1/2 into 1/2 7.834 * [taylor]: Taking taylor expansion of (* a PI) in b 7.835 * [taylor]: Taking taylor expansion of a in b 7.835 * [backup-simplify]: Simplify a into a 7.835 * [taylor]: Taking taylor expansion of PI in b 7.835 * [backup-simplify]: Simplify PI into PI 7.835 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 7.835 * [taylor]: Taking taylor expansion of 1/2 in b 7.835 * [backup-simplify]: Simplify 1/2 into 1/2 7.835 * [taylor]: Taking taylor expansion of (* b PI) in b 7.835 * [taylor]: Taking taylor expansion of b in b 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify 1 into 1 7.835 * [taylor]: Taking taylor expansion of PI in b 7.835 * [backup-simplify]: Simplify PI into PI 7.835 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 7.835 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 7.835 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.835 * [taylor]: Taking taylor expansion of b in b 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify 1 into 1 7.835 * [backup-simplify]: Simplify (/ 1 1) into 1 7.835 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.835 * [taylor]: Taking taylor expansion of a in b 7.835 * [backup-simplify]: Simplify a into a 7.835 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.835 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 7.835 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.835 * [taylor]: Taking taylor expansion of a in b 7.835 * [backup-simplify]: Simplify a into a 7.835 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.835 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.835 * [taylor]: Taking taylor expansion of b in b 7.835 * [backup-simplify]: Simplify 0 into 0 7.835 * [backup-simplify]: Simplify 1 into 1 7.836 * [backup-simplify]: Simplify (/ 1 1) into 1 7.836 * [backup-simplify]: Simplify (* a PI) into (* a PI) 7.836 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 7.836 * [backup-simplify]: Simplify (* 0 PI) into 0 7.837 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.837 * [backup-simplify]: Simplify (- 0) into 0 7.837 * [backup-simplify]: Simplify (+ (* 1/2 (* a PI)) 0) into (* 1/2 (* a PI)) 7.838 * [backup-simplify]: Simplify (+ 1 0) into 1 7.838 * [backup-simplify]: Simplify (+ 0 1) into 1 7.838 * [backup-simplify]: Simplify (* 1 1) into 1 7.839 * [backup-simplify]: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) 7.839 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 7.839 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in a 7.839 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 7.839 * [taylor]: Taking taylor expansion of 1/2 in a 7.839 * [backup-simplify]: Simplify 1/2 into 1/2 7.839 * [taylor]: Taking taylor expansion of (* a PI) in a 7.839 * [taylor]: Taking taylor expansion of a in a 7.839 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify 1 into 1 7.839 * [taylor]: Taking taylor expansion of PI in a 7.839 * [backup-simplify]: Simplify PI into PI 7.839 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 7.839 * [taylor]: Taking taylor expansion of 1/2 in a 7.839 * [backup-simplify]: Simplify 1/2 into 1/2 7.839 * [taylor]: Taking taylor expansion of (* b PI) in a 7.839 * [taylor]: Taking taylor expansion of b in a 7.839 * [backup-simplify]: Simplify b into b 7.839 * [taylor]: Taking taylor expansion of PI in a 7.839 * [backup-simplify]: Simplify PI into PI 7.839 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 7.839 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 7.839 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.839 * [taylor]: Taking taylor expansion of b in a 7.839 * [backup-simplify]: Simplify b into b 7.839 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.839 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.839 * [taylor]: Taking taylor expansion of a in a 7.839 * [backup-simplify]: Simplify 0 into 0 7.839 * [backup-simplify]: Simplify 1 into 1 7.840 * [backup-simplify]: Simplify (/ 1 1) into 1 7.840 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 7.840 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.840 * [taylor]: Taking taylor expansion of a in a 7.840 * [backup-simplify]: Simplify 0 into 0 7.840 * [backup-simplify]: Simplify 1 into 1 7.840 * [backup-simplify]: Simplify (/ 1 1) into 1 7.840 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.840 * [taylor]: Taking taylor expansion of b in a 7.840 * [backup-simplify]: Simplify b into b 7.840 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.841 * [backup-simplify]: Simplify (* 0 PI) into 0 7.841 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.841 * [backup-simplify]: Simplify (* b PI) into (* PI b) 7.841 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 7.842 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 7.842 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 7.842 * [backup-simplify]: Simplify (- 1) into -1 7.842 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.843 * [backup-simplify]: Simplify (+ 1 0) into 1 7.843 * [backup-simplify]: Simplify (* -1 1) into -1 7.843 * [backup-simplify]: Simplify (/ (- (* 1/2 (* PI b))) -1) into (* 1/2 (* b PI)) 7.843 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 7.844 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in a 7.844 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 7.844 * [taylor]: Taking taylor expansion of 1/2 in a 7.844 * [backup-simplify]: Simplify 1/2 into 1/2 7.844 * [taylor]: Taking taylor expansion of (* a PI) in a 7.844 * [taylor]: Taking taylor expansion of a in a 7.844 * [backup-simplify]: Simplify 0 into 0 7.844 * [backup-simplify]: Simplify 1 into 1 7.844 * [taylor]: Taking taylor expansion of PI in a 7.844 * [backup-simplify]: Simplify PI into PI 7.844 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 7.844 * [taylor]: Taking taylor expansion of 1/2 in a 7.844 * [backup-simplify]: Simplify 1/2 into 1/2 7.844 * [taylor]: Taking taylor expansion of (* b PI) in a 7.844 * [taylor]: Taking taylor expansion of b in a 7.844 * [backup-simplify]: Simplify b into b 7.844 * [taylor]: Taking taylor expansion of PI in a 7.844 * [backup-simplify]: Simplify PI into PI 7.844 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 7.844 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 7.844 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.844 * [taylor]: Taking taylor expansion of b in a 7.844 * [backup-simplify]: Simplify b into b 7.844 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.844 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.844 * [taylor]: Taking taylor expansion of a in a 7.844 * [backup-simplify]: Simplify 0 into 0 7.844 * [backup-simplify]: Simplify 1 into 1 7.845 * [backup-simplify]: Simplify (/ 1 1) into 1 7.845 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 7.845 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.845 * [taylor]: Taking taylor expansion of a in a 7.845 * [backup-simplify]: Simplify 0 into 0 7.845 * [backup-simplify]: Simplify 1 into 1 7.845 * [backup-simplify]: Simplify (/ 1 1) into 1 7.845 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.845 * [taylor]: Taking taylor expansion of b in a 7.845 * [backup-simplify]: Simplify b into b 7.845 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.846 * [backup-simplify]: Simplify (* 0 PI) into 0 7.846 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.846 * [backup-simplify]: Simplify (* b PI) into (* PI b) 7.846 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 7.846 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 7.847 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 7.847 * [backup-simplify]: Simplify (- 1) into -1 7.847 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.848 * [backup-simplify]: Simplify (+ 1 0) into 1 7.848 * [backup-simplify]: Simplify (* -1 1) into -1 7.848 * [backup-simplify]: Simplify (/ (- (* 1/2 (* PI b))) -1) into (* 1/2 (* b PI)) 7.849 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 7.849 * [taylor]: Taking taylor expansion of 1/2 in b 7.849 * [backup-simplify]: Simplify 1/2 into 1/2 7.849 * [taylor]: Taking taylor expansion of (* b PI) in b 7.849 * [taylor]: Taking taylor expansion of b in b 7.849 * [backup-simplify]: Simplify 0 into 0 7.849 * [backup-simplify]: Simplify 1 into 1 7.849 * [taylor]: Taking taylor expansion of PI in b 7.849 * [backup-simplify]: Simplify PI into PI 7.850 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.851 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.852 * [backup-simplify]: Simplify (* 0 PI) into 0 7.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.852 * [backup-simplify]: Simplify 0 into 0 7.853 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.854 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 7.854 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 7.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 7.855 * [backup-simplify]: Simplify (- 0) into 0 7.856 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 7.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.856 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 7.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.857 * [backup-simplify]: Simplify (- 0) into 0 7.857 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 7.857 * [backup-simplify]: Simplify (+ (* -1 (/ 1 b)) (* (/ 1 b) 1)) into 0 7.858 * [backup-simplify]: Simplify (- (/ (* 1/2 PI) -1) (+ (* (* 1/2 (* b PI)) (/ 0 -1)))) into (- (* 1/2 PI)) 7.858 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 7.858 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 7.858 * [taylor]: Taking taylor expansion of 1/2 in b 7.858 * [backup-simplify]: Simplify 1/2 into 1/2 7.858 * [taylor]: Taking taylor expansion of PI in b 7.858 * [backup-simplify]: Simplify PI into PI 7.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 7.859 * [backup-simplify]: Simplify (- 0) into 0 7.859 * [backup-simplify]: Simplify 0 into 0 7.860 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.861 * [backup-simplify]: Simplify 0 into 0 7.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.866 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 7.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* PI b)))) into 0 7.867 * [backup-simplify]: Simplify (- 0) into 0 7.867 * [backup-simplify]: Simplify (+ 0 0) into 0 7.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 7.868 * [backup-simplify]: Simplify (+ 0 0) into 0 7.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 7.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.869 * [backup-simplify]: Simplify (- 0) into 0 7.869 * [backup-simplify]: Simplify (+ 0 0) into 0 7.869 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 7.870 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1/2 (* b PI)) (/ (/ 1 (pow b 2)) -1)) (* (- (* 1/2 PI)) (/ 0 -1)))) into (* 1/2 (/ PI b)) 7.870 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 7.870 * [taylor]: Taking taylor expansion of 1/2 in b 7.870 * [backup-simplify]: Simplify 1/2 into 1/2 7.870 * [taylor]: Taking taylor expansion of (/ PI b) in b 7.870 * [taylor]: Taking taylor expansion of PI in b 7.870 * [backup-simplify]: Simplify PI into PI 7.870 * [taylor]: Taking taylor expansion of b in b 7.870 * [backup-simplify]: Simplify 0 into 0 7.870 * [backup-simplify]: Simplify 1 into 1 7.871 * [backup-simplify]: Simplify (/ PI 1) into PI 7.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.875 * [backup-simplify]: Simplify 0 into 0 7.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.876 * [backup-simplify]: Simplify (- 0) into 0 7.876 * [backup-simplify]: Simplify 0 into 0 7.877 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.879 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 7.879 * [backup-simplify]: Simplify 0 into 0 7.879 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify (* (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (- (/ (/ PI 2) (/ 1 (- a))) (/ (/ PI 2) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a))))) into (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 7.880 * [approximate]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 7.880 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 7.880 * [taylor]: Taking taylor expansion of -1 in b 7.881 * [backup-simplify]: Simplify -1 into -1 7.881 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 7.881 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in b 7.881 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 7.881 * [taylor]: Taking taylor expansion of 1/2 in b 7.881 * [backup-simplify]: Simplify 1/2 into 1/2 7.881 * [taylor]: Taking taylor expansion of (* b PI) in b 7.881 * [taylor]: Taking taylor expansion of b in b 7.881 * [backup-simplify]: Simplify 0 into 0 7.881 * [backup-simplify]: Simplify 1 into 1 7.881 * [taylor]: Taking taylor expansion of PI in b 7.881 * [backup-simplify]: Simplify PI into PI 7.881 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 7.881 * [taylor]: Taking taylor expansion of 1/2 in b 7.881 * [backup-simplify]: Simplify 1/2 into 1/2 7.881 * [taylor]: Taking taylor expansion of (* a PI) in b 7.881 * [taylor]: Taking taylor expansion of a in b 7.881 * [backup-simplify]: Simplify a into a 7.881 * [taylor]: Taking taylor expansion of PI in b 7.881 * [backup-simplify]: Simplify PI into PI 7.881 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 7.881 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 7.881 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.881 * [taylor]: Taking taylor expansion of a in b 7.881 * [backup-simplify]: Simplify a into a 7.881 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.881 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.881 * [taylor]: Taking taylor expansion of b in b 7.881 * [backup-simplify]: Simplify 0 into 0 7.881 * [backup-simplify]: Simplify 1 into 1 7.882 * [backup-simplify]: Simplify (/ 1 1) into 1 7.882 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 7.882 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.882 * [taylor]: Taking taylor expansion of a in b 7.882 * [backup-simplify]: Simplify a into a 7.882 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.882 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.882 * [taylor]: Taking taylor expansion of b in b 7.882 * [backup-simplify]: Simplify 0 into 0 7.882 * [backup-simplify]: Simplify 1 into 1 7.882 * [backup-simplify]: Simplify (/ 1 1) into 1 7.883 * [backup-simplify]: Simplify (* 0 PI) into 0 7.883 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.883 * [backup-simplify]: Simplify (* a PI) into (* a PI) 7.883 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 7.883 * [backup-simplify]: Simplify (- (* 1/2 (* a PI))) into (- (* 1/2 (* a PI))) 7.884 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* a PI)))) into (- (* 1/2 (* a PI))) 7.884 * [backup-simplify]: Simplify (+ 0 1) into 1 7.884 * [backup-simplify]: Simplify (- 1) into -1 7.885 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.885 * [backup-simplify]: Simplify (* 1 -1) into -1 7.885 * [backup-simplify]: Simplify (/ (- (* 1/2 (* a PI))) -1) into (* 1/2 (* a PI)) 7.885 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 7.885 * [taylor]: Taking taylor expansion of -1 in a 7.885 * [backup-simplify]: Simplify -1 into -1 7.885 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 7.885 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in a 7.885 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 7.886 * [taylor]: Taking taylor expansion of 1/2 in a 7.886 * [backup-simplify]: Simplify 1/2 into 1/2 7.886 * [taylor]: Taking taylor expansion of (* b PI) in a 7.886 * [taylor]: Taking taylor expansion of b in a 7.886 * [backup-simplify]: Simplify b into b 7.886 * [taylor]: Taking taylor expansion of PI in a 7.886 * [backup-simplify]: Simplify PI into PI 7.886 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 7.886 * [taylor]: Taking taylor expansion of 1/2 in a 7.886 * [backup-simplify]: Simplify 1/2 into 1/2 7.886 * [taylor]: Taking taylor expansion of (* a PI) in a 7.886 * [taylor]: Taking taylor expansion of a in a 7.886 * [backup-simplify]: Simplify 0 into 0 7.886 * [backup-simplify]: Simplify 1 into 1 7.886 * [taylor]: Taking taylor expansion of PI in a 7.886 * [backup-simplify]: Simplify PI into PI 7.886 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 7.886 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 7.886 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.886 * [taylor]: Taking taylor expansion of a in a 7.886 * [backup-simplify]: Simplify 0 into 0 7.886 * [backup-simplify]: Simplify 1 into 1 7.887 * [backup-simplify]: Simplify (/ 1 1) into 1 7.887 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.887 * [taylor]: Taking taylor expansion of b in a 7.887 * [backup-simplify]: Simplify b into b 7.887 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.887 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 7.887 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.887 * [taylor]: Taking taylor expansion of a in a 7.887 * [backup-simplify]: Simplify 0 into 0 7.887 * [backup-simplify]: Simplify 1 into 1 7.887 * [backup-simplify]: Simplify (/ 1 1) into 1 7.887 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.887 * [taylor]: Taking taylor expansion of b in a 7.887 * [backup-simplify]: Simplify b into b 7.887 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.887 * [backup-simplify]: Simplify (* b PI) into (* PI b) 7.888 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 7.888 * [backup-simplify]: Simplify (* 0 PI) into 0 7.888 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.889 * [backup-simplify]: Simplify (- 0) into 0 7.889 * [backup-simplify]: Simplify (+ (* 1/2 (* PI b)) 0) into (* 1/2 (* PI b)) 7.889 * [backup-simplify]: Simplify (+ 1 0) into 1 7.890 * [backup-simplify]: Simplify (+ 1 0) into 1 7.890 * [backup-simplify]: Simplify (* 1 1) into 1 7.890 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 7.890 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 7.890 * [taylor]: Taking taylor expansion of -1 in a 7.890 * [backup-simplify]: Simplify -1 into -1 7.890 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 7.890 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in a 7.890 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 7.890 * [taylor]: Taking taylor expansion of 1/2 in a 7.890 * [backup-simplify]: Simplify 1/2 into 1/2 7.890 * [taylor]: Taking taylor expansion of (* b PI) in a 7.890 * [taylor]: Taking taylor expansion of b in a 7.890 * [backup-simplify]: Simplify b into b 7.890 * [taylor]: Taking taylor expansion of PI in a 7.890 * [backup-simplify]: Simplify PI into PI 7.890 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 7.891 * [taylor]: Taking taylor expansion of 1/2 in a 7.891 * [backup-simplify]: Simplify 1/2 into 1/2 7.891 * [taylor]: Taking taylor expansion of (* a PI) in a 7.891 * [taylor]: Taking taylor expansion of a in a 7.891 * [backup-simplify]: Simplify 0 into 0 7.891 * [backup-simplify]: Simplify 1 into 1 7.891 * [taylor]: Taking taylor expansion of PI in a 7.891 * [backup-simplify]: Simplify PI into PI 7.891 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 7.891 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 7.891 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.891 * [taylor]: Taking taylor expansion of a in a 7.891 * [backup-simplify]: Simplify 0 into 0 7.891 * [backup-simplify]: Simplify 1 into 1 7.891 * [backup-simplify]: Simplify (/ 1 1) into 1 7.891 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.891 * [taylor]: Taking taylor expansion of b in a 7.891 * [backup-simplify]: Simplify b into b 7.891 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.891 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 7.891 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.891 * [taylor]: Taking taylor expansion of a in a 7.891 * [backup-simplify]: Simplify 0 into 0 7.891 * [backup-simplify]: Simplify 1 into 1 7.892 * [backup-simplify]: Simplify (/ 1 1) into 1 7.892 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.892 * [taylor]: Taking taylor expansion of b in a 7.892 * [backup-simplify]: Simplify b into b 7.892 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.892 * [backup-simplify]: Simplify (* b PI) into (* PI b) 7.892 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 7.892 * [backup-simplify]: Simplify (* 0 PI) into 0 7.892 * [backup-simplify]: Simplify (* 1/2 0) into 0 7.893 * [backup-simplify]: Simplify (- 0) into 0 7.893 * [backup-simplify]: Simplify (+ (* 1/2 (* PI b)) 0) into (* 1/2 (* PI b)) 7.893 * [backup-simplify]: Simplify (+ 1 0) into 1 7.893 * [backup-simplify]: Simplify (+ 1 0) into 1 7.893 * [backup-simplify]: Simplify (* 1 1) into 1 7.893 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 7.894 * [backup-simplify]: Simplify (* -1 (* 1/2 (* b PI))) into (* -1/2 (* PI b)) 7.894 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 7.894 * [taylor]: Taking taylor expansion of -1/2 in b 7.894 * [backup-simplify]: Simplify -1/2 into -1/2 7.894 * [taylor]: Taking taylor expansion of (* PI b) in b 7.894 * [taylor]: Taking taylor expansion of PI in b 7.894 * [backup-simplify]: Simplify PI into PI 7.894 * [taylor]: Taking taylor expansion of b in b 7.894 * [backup-simplify]: Simplify 0 into 0 7.894 * [backup-simplify]: Simplify 1 into 1 7.894 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 7.895 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 7.896 * [backup-simplify]: Simplify (* PI 0) into 0 7.896 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.896 * [backup-simplify]: Simplify 0 into 0 7.896 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 7.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 7.898 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.899 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 7.899 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 7.900 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) 7.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.901 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 7.901 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 7.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.902 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 7.902 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 7.903 * [backup-simplify]: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* b PI)) (/ 0 1)))) into (- (* 1/2 PI)) 7.904 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 PI))) (* 0 (* 1/2 (* b PI)))) into (* 1/2 PI) 7.904 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 7.904 * [taylor]: Taking taylor expansion of 1/2 in b 7.904 * [backup-simplify]: Simplify 1/2 into 1/2 7.904 * [taylor]: Taking taylor expansion of PI in b 7.904 * [backup-simplify]: Simplify PI into PI 7.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 7.905 * [backup-simplify]: Simplify 0 into 0 7.906 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.906 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.906 * [backup-simplify]: Simplify 0 into 0 7.907 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 7.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* PI b)))) into 0 7.908 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 7.909 * [backup-simplify]: Simplify (- 0) into 0 7.909 * [backup-simplify]: Simplify (+ 0 0) into 0 7.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 7.910 * [backup-simplify]: Simplify (- 0) into 0 7.910 * [backup-simplify]: Simplify (+ 0 0) into 0 7.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 7.911 * [backup-simplify]: Simplify (+ 0 0) into 0 7.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 7.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 (* b PI)) (/ (- (/ 1 (pow b 2))) 1)) (* (- (* 1/2 PI)) (/ 0 1)))) into (* 1/2 (/ PI b)) 7.914 * [backup-simplify]: Simplify (+ (* -1 (* 1/2 (/ PI b))) (+ (* 0 (- (* 1/2 PI))) (* 0 (* 1/2 (* b PI))))) into (- (* 1/2 (/ PI b))) 7.914 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 7.914 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 7.914 * [taylor]: Taking taylor expansion of 1/2 in b 7.914 * [backup-simplify]: Simplify 1/2 into 1/2 7.914 * [taylor]: Taking taylor expansion of (/ PI b) in b 7.914 * [taylor]: Taking taylor expansion of PI in b 7.914 * [backup-simplify]: Simplify PI into PI 7.914 * [taylor]: Taking taylor expansion of b in b 7.914 * [backup-simplify]: Simplify 0 into 0 7.914 * [backup-simplify]: Simplify 1 into 1 7.914 * [backup-simplify]: Simplify (/ PI 1) into PI 7.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.917 * [backup-simplify]: Simplify (- 0) into 0 7.917 * [backup-simplify]: Simplify 0 into 0 7.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.918 * [backup-simplify]: Simplify 0 into 0 7.918 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 7.920 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 7.920 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify 0 into 0 7.920 * * * [progress]: simplifying candidates 7.920 * * * * [progress]: [ 1 / 530 ] simplifiying candidate # 7.920 * * * * [progress]: [ 2 / 530 ] simplifiying candidate # 7.920 * * * * [progress]: [ 3 / 530 ] simplifiying candidate # 7.920 * * * * [progress]: [ 4 / 530 ] simplifiying candidate # 7.920 * * * * [progress]: [ 5 / 530 ] simplifiying candidate # 7.920 * * * * [progress]: [ 6 / 530 ] simplifiying candidate # 7.920 * * * * [progress]: [ 7 / 530 ] simplifiying candidate # 7.920 * * * * [progress]: [ 8 / 530 ] simplifiying candidate # 7.920 * * * * [progress]: [ 9 / 530 ] simplifiying candidate # 7.921 * * * * [progress]: [ 10 / 530 ] simplifiying candidate # 7.921 * * * * [progress]: [ 11 / 530 ] simplifiying candidate # 7.921 * * * * [progress]: [ 12 / 530 ] simplifiying candidate # 7.921 * * * * [progress]: [ 13 / 530 ] simplifiying candidate # 7.921 * * * * [progress]: [ 14 / 530 ] simplifiying candidate # 7.921 * * * * [progress]: [ 15 / 530 ] simplifiying candidate # 7.921 * * * * [progress]: [ 16 / 530 ] simplifiying candidate # 7.921 * * * * [progress]: [ 17 / 530 ] simplifiying candidate # 7.921 * * * * [progress]: [ 18 / 530 ] simplifiying candidate # 7.921 * * * * [progress]: [ 19 / 530 ] simplifiying candidate # 7.921 * * * * [progress]: [ 20 / 530 ] simplifiying candidate # 7.921 * * * * [progress]: [ 21 / 530 ] simplifiying candidate # 7.921 * * * * [progress]: [ 22 / 530 ] simplifiying candidate # 7.922 * * * * [progress]: [ 23 / 530 ] simplifiying candidate # 7.922 * * * * [progress]: [ 24 / 530 ] simplifiying candidate # 7.922 * * * * [progress]: [ 25 / 530 ] simplifiying candidate # 7.922 * * * * [progress]: [ 26 / 530 ] simplifiying candidate # 7.922 * * * * [progress]: [ 27 / 530 ] simplifiying candidate # 7.922 * * * * [progress]: [ 28 / 530 ] simplifiying candidate # 7.922 * * * * [progress]: [ 29 / 530 ] simplifiying candidate # 7.922 * * * * [progress]: [ 30 / 530 ] simplifiying candidate # 7.922 * * * * [progress]: [ 31 / 530 ] simplifiying candidate # 7.922 * * * * [progress]: [ 32 / 530 ] simplifiying candidate # 7.922 * * * * [progress]: [ 33 / 530 ] simplifiying candidate # 7.922 * * * * [progress]: [ 34 / 530 ] simplifiying candidate # 7.923 * * * * [progress]: [ 35 / 530 ] simplifiying candidate # 7.923 * * * * [progress]: [ 36 / 530 ] simplifiying candidate # 7.923 * * * * [progress]: [ 37 / 530 ] simplifiying candidate # 7.923 * * * * [progress]: [ 38 / 530 ] simplifiying candidate # 7.923 * * * * [progress]: [ 39 / 530 ] simplifiying candidate # 7.923 * * * * [progress]: [ 40 / 530 ] simplifiying candidate # 7.923 * * * * [progress]: [ 41 / 530 ] simplifiying candidate # 7.923 * * * * [progress]: [ 42 / 530 ] simplifiying candidate # 7.923 * * * * [progress]: [ 43 / 530 ] simplifiying candidate # 7.923 * * * * [progress]: [ 44 / 530 ] simplifiying candidate # 7.923 * * * * [progress]: [ 45 / 530 ] simplifiying candidate # 7.923 * * * * [progress]: [ 46 / 530 ] simplifiying candidate # 7.923 * * * * [progress]: [ 47 / 530 ] simplifiying candidate # 7.924 * * * * [progress]: [ 48 / 530 ] simplifiying candidate # 7.924 * * * * [progress]: [ 49 / 530 ] simplifiying candidate # 7.924 * * * * [progress]: [ 50 / 530 ] simplifiying candidate # 7.924 * * * * [progress]: [ 51 / 530 ] simplifiying candidate # 7.924 * * * * [progress]: [ 52 / 530 ] simplifiying candidate # 7.924 * * * * [progress]: [ 53 / 530 ] simplifiying candidate # 7.924 * * * * [progress]: [ 54 / 530 ] simplifiying candidate # 7.924 * * * * [progress]: [ 55 / 530 ] simplifiying candidate # 7.924 * * * * [progress]: [ 56 / 530 ] simplifiying candidate # 7.924 * * * * [progress]: [ 57 / 530 ] simplifiying candidate # 7.924 * * * * [progress]: [ 58 / 530 ] simplifiying candidate # 7.924 * * * * [progress]: [ 59 / 530 ] simplifiying candidate # 7.924 * * * * [progress]: [ 60 / 530 ] simplifiying candidate # 7.925 * * * * [progress]: [ 61 / 530 ] simplifiying candidate # 7.925 * * * * [progress]: [ 62 / 530 ] simplifiying candidate # 7.925 * * * * [progress]: [ 63 / 530 ] simplifiying candidate # 7.925 * * * * [progress]: [ 64 / 530 ] simplifiying candidate # 7.925 * * * * [progress]: [ 65 / 530 ] simplifiying candidate # 7.925 * * * * [progress]: [ 66 / 530 ] simplifiying candidate # 7.925 * * * * [progress]: [ 67 / 530 ] simplifiying candidate # 7.925 * * * * [progress]: [ 68 / 530 ] simplifiying candidate # 7.925 * * * * [progress]: [ 69 / 530 ] simplifiying candidate # 7.925 * * * * [progress]: [ 70 / 530 ] simplifiying candidate # 7.925 * * * * [progress]: [ 71 / 530 ] simplifiying candidate #real (real->posit16 (/ (/ PI 2) a))) (/ (/ PI 2) b)) (- b a))))> 7.925 * * * * [progress]: [ 72 / 530 ] simplifiying candidate # 7.925 * * * * [progress]: [ 73 / 530 ] simplifiying candidate # 7.925 * * * * [progress]: [ 74 / 530 ] simplifiying candidate # 7.926 * * * * [progress]: [ 75 / 530 ] simplifiying candidate # 7.926 * * * * [progress]: [ 76 / 530 ] simplifiying candidate # 7.926 * * * * [progress]: [ 77 / 530 ] simplifiying candidate # 7.926 * * * * [progress]: [ 78 / 530 ] simplifiying candidate # 7.926 * * * * [progress]: [ 79 / 530 ] simplifiying candidate # 7.926 * * * * [progress]: [ 80 / 530 ] simplifiying candidate # 7.926 * * * * [progress]: [ 81 / 530 ] simplifiying candidate # 7.926 * * * * [progress]: [ 82 / 530 ] simplifiying candidate # 7.926 * * * * [progress]: [ 83 / 530 ] simplifiying candidate # 7.926 * * * * [progress]: [ 84 / 530 ] simplifiying candidate # 7.926 * * * * [progress]: [ 85 / 530 ] simplifiying candidate # 7.926 * * * * [progress]: [ 86 / 530 ] simplifiying candidate # 7.926 * * * * [progress]: [ 87 / 530 ] simplifiying candidate # 7.927 * * * * [progress]: [ 88 / 530 ] simplifiying candidate # 7.927 * * * * [progress]: [ 89 / 530 ] simplifiying candidate # 7.927 * * * * [progress]: [ 90 / 530 ] simplifiying 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simplifiying candidate # 7.959 * * * * [progress]: [ 473 / 530 ] simplifiying candidate # 7.959 * * * * [progress]: [ 474 / 530 ] simplifiying candidate # 7.959 * * * * [progress]: [ 475 / 530 ] simplifiying candidate # 7.959 * * * * [progress]: [ 476 / 530 ] simplifiying candidate # 7.959 * * * * [progress]: [ 477 / 530 ] simplifiying candidate # 7.959 * * * * [progress]: [ 478 / 530 ] simplifiying candidate # 7.960 * * * * [progress]: [ 479 / 530 ] simplifiying candidate # 7.960 * * * * [progress]: [ 480 / 530 ] simplifiying candidate # 7.960 * * * * [progress]: [ 481 / 530 ] simplifiying candidate # 7.960 * * * * [progress]: [ 482 / 530 ] simplifiying candidate # 7.960 * * * * [progress]: [ 483 / 530 ] simplifiying candidate # 7.960 * * * * [progress]: [ 484 / 530 ] simplifiying candidate # 7.960 * * * * [progress]: [ 485 / 530 ] simplifiying candidate # 7.960 * * * * [progress]: [ 486 / 530 ] simplifiying candidate # 7.960 * * * * [progress]: [ 487 / 530 ] simplifiying candidate # 7.960 * * * * [progress]: [ 488 / 530 ] simplifiying candidate # 7.960 * * * * [progress]: [ 489 / 530 ] simplifiying candidate # 7.960 * * * * [progress]: [ 490 / 530 ] simplifiying candidate # 7.960 * * * * [progress]: [ 491 / 530 ] simplifiying candidate # 7.961 * * * * [progress]: [ 492 / 530 ] simplifiying candidate # 7.961 * * * * [progress]: [ 493 / 530 ] simplifiying candidate # 7.961 * * * * [progress]: [ 494 / 530 ] simplifiying candidate # 7.961 * * * * [progress]: [ 495 / 530 ] simplifiying candidate # 7.961 * * * * [progress]: [ 496 / 530 ] simplifiying candidate # 7.961 * * * * [progress]: [ 497 / 530 ] simplifiying candidate # 7.961 * * * * [progress]: [ 498 / 530 ] simplifiying candidate # 7.961 * * * * [progress]: [ 499 / 530 ] simplifiying candidate # 7.961 * * * * [progress]: [ 500 / 530 ] simplifiying candidate # 7.961 * * * * [progress]: [ 501 / 530 ] simplifiying candidate # 7.961 * * * * [progress]: [ 502 / 530 ] simplifiying candidate # 7.961 * * * * [progress]: [ 503 / 530 ] simplifiying candidate # 7.962 * * * * [progress]: [ 504 / 530 ] simplifiying candidate # 7.962 * * * * [progress]: [ 505 / 530 ] simplifiying candidate # 7.962 * * * * [progress]: [ 506 / 530 ] simplifiying candidate # 7.962 * * * * [progress]: [ 507 / 530 ] simplifiying candidate # 7.962 * * * * [progress]: [ 508 / 530 ] simplifiying candidate # 7.962 * * * * [progress]: [ 509 / 530 ] simplifiying candidate # 7.962 * * * * [progress]: [ 510 / 530 ] simplifiying candidate # 7.962 * * * * [progress]: [ 511 / 530 ] simplifiying candidate # 7.962 * * * * [progress]: [ 512 / 530 ] simplifiying candidate # 7.962 * * * * [progress]: [ 513 / 530 ] simplifiying candidate # 7.962 * * * * [progress]: [ 514 / 530 ] simplifiying candidate # 7.962 * * * * [progress]: [ 515 / 530 ] simplifiying candidate # 7.962 * * * * [progress]: [ 516 / 530 ] simplifiying candidate # 7.962 * * * * [progress]: [ 517 / 530 ] simplifiying candidate #real (real->posit16 (* (/ 1 (+ a b)) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a))))))> 7.963 * * * * [progress]: [ 518 / 530 ] simplifiying candidate # 7.963 * * * * [progress]: [ 519 / 530 ] simplifiying candidate # 7.963 * * * * [progress]: [ 520 / 530 ] simplifiying candidate # 7.963 * * * * [progress]: [ 521 / 530 ] simplifiying candidate # 7.963 * * * * [progress]: [ 522 / 530 ] simplifiying candidate # 7.963 * * * * [progress]: [ 523 / 530 ] simplifiying candidate # 7.963 * * * * [progress]: [ 524 / 530 ] simplifiying candidate # 7.963 * * * * [progress]: [ 525 / 530 ] simplifiying candidate # 7.963 * * * * [progress]: [ 526 / 530 ] simplifiying candidate # 7.963 * * * * [progress]: [ 527 / 530 ] simplifiying candidate # 7.963 * * * * [progress]: [ 528 / 530 ] simplifiying candidate # 7.963 * * * * [progress]: [ 529 / 530 ] simplifiying candidate # 7.963 * * * * [progress]: [ 530 / 530 ] simplifiying candidate # 7.969 * [simplify]: Simplifying: (- (- (log PI) (log 2)) (log a)) (- (log (/ PI 2)) (log a)) (log (/ (/ PI 2) a)) (exp 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(* (/ 1 (+ b a)) 1) (+ (sqrt a) (sqrt b))) (/ 1 (+ b a)) (* (/ 1 (+ b a)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) (/ (* (/ 1 (+ b a)) 1) (sqrt (- b a))) (/ 1 (+ b a)) (/ (* (/ 1 (+ b a)) 1) (+ (sqrt a) (sqrt b))) (/ 1 (+ b a)) (/ (* (/ 1 (+ b a)) PI) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (* (/ 1 (+ b a)) PI) (sqrt (- b a))) (* PI (/ 1 (+ b a))) (* (/ PI (+ (sqrt a) (sqrt b))) (/ 1 (+ b a))) (* PI (/ 1 (+ b a))) (* (/ 1 (+ b a)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a))))) (/ (* (/ 1 (+ b a)) 1) (sqrt (- b a))) (/ 1 (+ b a)) (/ (* (/ 1 (+ b a)) 1) (+ (sqrt a) (sqrt b))) (/ 1 (+ b a)) (/ (* (/ 1 (+ b a)) (/ PI 2)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (* (/ 1 (+ b a)) (/ PI 2)) (sqrt (- b a))) (/ (* 1 (/ PI 2)) (+ b a)) (/ (* (/ 1 (+ b a)) (/ PI 2)) (+ (sqrt a) (sqrt b))) (/ (* 1 (/ PI 2)) (+ b a)) (/ 1 (+ b a)) (* (/ 1 (+ b a)) (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (/ 1 (+ b a)) (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- (* (* b b) b) (* a (* a a))))) (* (/ 1 (+ b a)) (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- (* b b) (* a a)))) (* (cbrt (/ 1 (+ b a))) (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a))) (* (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) (sqrt (/ 1 (+ b a)))) (/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) (cbrt (+ b a))) (/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) (sqrt (+ b a))) (/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) (+ b a)) (/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) (+ b a)) (/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) (cbrt (+ b a))) (/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) (sqrt (+ b a))) (/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) (+ b a)) (/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) (+ b a)) (/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) (cbrt (+ b a))) (/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) (sqrt (+ b a))) (/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) (+ b a)) (/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) (+ b a)) (/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) (+ b a)) (/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) (+ b a)) (* (+ (* b (- b a)) (* a a)) (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a))) (* (- a b) (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a))) (* (/ 1 (+ b a)) (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) (real->posit16 (/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) (+ b a))) (/ (* 1/2 PI) a) (/ (* 1/2 PI) a) (/ (* 1/2 PI) a) (* 1/2 (/ PI b)) (* 1/2 (/ PI b)) (* 1/2 (/ PI b)) (* 1/2 (/ (/ PI a) b)) (* 1/2 (/ (/ PI a) b)) (* 1/2 (/ (/ PI a) b)) 0 0 0 9.059 * * * [progress]: adding candidates to table 14.998 * * [progress]: iteration 3 / 4 14.998 * * * [progress]: picking best candidate 15.044 * * * * [pick]: Picked # 15.044 * * * [progress]: localizing error 15.069 * * * [progress]: generating rewritten candidates 15.069 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 15.075 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 15.084 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 15.199 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 15.312 * * * [progress]: generating series expansions 15.312 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 15.312 * [backup-simplify]: Simplify (/ PI (* 2 a)) into (* 1/2 (/ PI a)) 15.313 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI a)) in (a) around 0 15.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 15.313 * [taylor]: Taking taylor expansion of 1/2 in a 15.313 * [backup-simplify]: Simplify 1/2 into 1/2 15.313 * [taylor]: Taking taylor expansion of (/ PI a) in a 15.313 * [taylor]: Taking taylor expansion of PI in a 15.313 * [backup-simplify]: Simplify PI into PI 15.313 * [taylor]: Taking taylor expansion of a in a 15.313 * [backup-simplify]: Simplify 0 into 0 15.313 * [backup-simplify]: Simplify 1 into 1 15.314 * [backup-simplify]: Simplify (/ PI 1) into PI 15.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 15.314 * [taylor]: Taking taylor expansion of 1/2 in a 15.314 * [backup-simplify]: Simplify 1/2 into 1/2 15.314 * [taylor]: Taking taylor expansion of (/ PI a) in a 15.314 * [taylor]: Taking taylor expansion of PI in a 15.314 * [backup-simplify]: Simplify PI into PI 15.314 * [taylor]: Taking taylor expansion of a in a 15.314 * [backup-simplify]: Simplify 0 into 0 15.314 * [backup-simplify]: Simplify 1 into 1 15.314 * [backup-simplify]: Simplify (/ PI 1) into PI 15.315 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.315 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.317 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 15.317 * [backup-simplify]: Simplify 0 into 0 15.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.319 * [backup-simplify]: Simplify 0 into 0 15.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.321 * [backup-simplify]: Simplify 0 into 0 15.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 15.324 * [backup-simplify]: Simplify 0 into 0 15.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 15.334 * [backup-simplify]: Simplify 0 into 0 15.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.337 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 15.337 * [backup-simplify]: Simplify 0 into 0 15.338 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) 15.338 * [backup-simplify]: Simplify (/ PI (* 2 (/ 1 a))) into (* 1/2 (* a PI)) 15.338 * [approximate]: Taking taylor expansion of (* 1/2 (* a PI)) in (a) around 0 15.338 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 15.338 * [taylor]: Taking taylor expansion of 1/2 in a 15.338 * [backup-simplify]: Simplify 1/2 into 1/2 15.338 * [taylor]: Taking taylor expansion of (* a PI) in a 15.338 * [taylor]: Taking taylor expansion of a in a 15.338 * [backup-simplify]: Simplify 0 into 0 15.338 * [backup-simplify]: Simplify 1 into 1 15.338 * [taylor]: Taking taylor expansion of PI in a 15.338 * [backup-simplify]: Simplify PI into PI 15.338 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 15.338 * [taylor]: Taking taylor expansion of 1/2 in a 15.338 * [backup-simplify]: Simplify 1/2 into 1/2 15.338 * [taylor]: Taking taylor expansion of (* a PI) in a 15.338 * [taylor]: Taking taylor expansion of a in a 15.338 * [backup-simplify]: Simplify 0 into 0 15.338 * [backup-simplify]: Simplify 1 into 1 15.338 * [taylor]: Taking taylor expansion of PI in a 15.338 * [backup-simplify]: Simplify PI into PI 15.339 * [backup-simplify]: Simplify (* 0 PI) into 0 15.339 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.339 * [backup-simplify]: Simplify 0 into 0 15.341 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.342 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 15.343 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 15.344 * [backup-simplify]: Simplify 0 into 0 15.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 15.346 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 15.346 * [backup-simplify]: Simplify 0 into 0 15.346 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 15.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 15.347 * [backup-simplify]: Simplify 0 into 0 15.348 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 15.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 15.349 * [backup-simplify]: Simplify 0 into 0 15.350 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 15.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 15.351 * [backup-simplify]: Simplify 0 into 0 15.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 15.353 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 15.353 * [backup-simplify]: Simplify 0 into 0 15.354 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) 15.354 * [backup-simplify]: Simplify (/ PI (* 2 (/ 1 (- a)))) into (* -1/2 (* a PI)) 15.354 * [approximate]: Taking taylor expansion of (* -1/2 (* a PI)) in (a) around 0 15.354 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 15.354 * [taylor]: Taking taylor expansion of -1/2 in a 15.354 * [backup-simplify]: Simplify -1/2 into -1/2 15.354 * [taylor]: Taking taylor expansion of (* a PI) in a 15.354 * [taylor]: Taking taylor expansion of a in a 15.354 * [backup-simplify]: Simplify 0 into 0 15.354 * [backup-simplify]: Simplify 1 into 1 15.354 * [taylor]: Taking taylor expansion of PI in a 15.354 * [backup-simplify]: Simplify PI into PI 15.354 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 15.354 * [taylor]: Taking taylor expansion of -1/2 in a 15.354 * [backup-simplify]: Simplify -1/2 into -1/2 15.354 * [taylor]: Taking taylor expansion of (* a PI) in a 15.354 * [taylor]: Taking taylor expansion of a in a 15.354 * [backup-simplify]: Simplify 0 into 0 15.354 * [backup-simplify]: Simplify 1 into 1 15.354 * [taylor]: Taking taylor expansion of PI in a 15.354 * [backup-simplify]: Simplify PI into PI 15.354 * [backup-simplify]: Simplify (* 0 PI) into 0 15.355 * [backup-simplify]: Simplify (* -1/2 0) into 0 15.355 * [backup-simplify]: Simplify 0 into 0 15.356 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.356 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 15.357 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 15.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.358 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 15.358 * [backup-simplify]: Simplify 0 into 0 15.359 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 15.360 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 15.360 * [backup-simplify]: Simplify 0 into 0 15.360 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 15.361 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 15.361 * [backup-simplify]: Simplify 0 into 0 15.362 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 15.363 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 15.363 * [backup-simplify]: Simplify 0 into 0 15.364 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 15.365 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 15.365 * [backup-simplify]: Simplify 0 into 0 15.366 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 15.367 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 15.367 * [backup-simplify]: Simplify 0 into 0 15.368 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (/ 1 (- a))) into (* 1/2 (/ PI a)) 15.368 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 15.368 * [backup-simplify]: Simplify (/ PI (* 2 b)) into (* 1/2 (/ PI b)) 15.368 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI b)) in (b) around 0 15.368 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 15.368 * [taylor]: Taking taylor expansion of 1/2 in b 15.368 * [backup-simplify]: Simplify 1/2 into 1/2 15.368 * [taylor]: Taking taylor expansion of (/ PI b) in b 15.368 * [taylor]: Taking taylor expansion of PI in b 15.368 * [backup-simplify]: Simplify PI into PI 15.368 * [taylor]: Taking taylor expansion of b in b 15.368 * [backup-simplify]: Simplify 0 into 0 15.368 * [backup-simplify]: Simplify 1 into 1 15.369 * [backup-simplify]: Simplify (/ PI 1) into PI 15.369 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 15.369 * [taylor]: Taking taylor expansion of 1/2 in b 15.369 * [backup-simplify]: Simplify 1/2 into 1/2 15.369 * [taylor]: Taking taylor expansion of (/ PI b) in b 15.369 * [taylor]: Taking taylor expansion of PI in b 15.369 * [backup-simplify]: Simplify PI into PI 15.369 * [taylor]: Taking taylor expansion of b in b 15.369 * [backup-simplify]: Simplify 0 into 0 15.369 * [backup-simplify]: Simplify 1 into 1 15.369 * [backup-simplify]: Simplify (/ PI 1) into PI 15.369 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.370 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.371 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 15.371 * [backup-simplify]: Simplify 0 into 0 15.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.372 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.372 * [backup-simplify]: Simplify 0 into 0 15.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.373 * [backup-simplify]: Simplify 0 into 0 15.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 15.375 * [backup-simplify]: Simplify 0 into 0 15.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.376 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 15.376 * [backup-simplify]: Simplify 0 into 0 15.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 15.378 * [backup-simplify]: Simplify 0 into 0 15.378 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 b)) into (* 1/2 (/ PI b)) 15.378 * [backup-simplify]: Simplify (/ PI (* 2 (/ 1 b))) into (* 1/2 (* b PI)) 15.378 * [approximate]: Taking taylor expansion of (* 1/2 (* b PI)) in (b) around 0 15.378 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 15.378 * [taylor]: Taking taylor expansion of 1/2 in b 15.378 * [backup-simplify]: Simplify 1/2 into 1/2 15.378 * [taylor]: Taking taylor expansion of (* b PI) in b 15.378 * [taylor]: Taking taylor expansion of b in b 15.378 * [backup-simplify]: Simplify 0 into 0 15.378 * [backup-simplify]: Simplify 1 into 1 15.378 * [taylor]: Taking taylor expansion of PI in b 15.378 * [backup-simplify]: Simplify PI into PI 15.378 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 15.378 * [taylor]: Taking taylor expansion of 1/2 in b 15.378 * [backup-simplify]: Simplify 1/2 into 1/2 15.378 * [taylor]: Taking taylor expansion of (* b PI) in b 15.378 * [taylor]: Taking taylor expansion of b in b 15.378 * [backup-simplify]: Simplify 0 into 0 15.378 * [backup-simplify]: Simplify 1 into 1 15.379 * [taylor]: Taking taylor expansion of PI in b 15.379 * [backup-simplify]: Simplify PI into PI 15.379 * [backup-simplify]: Simplify (* 0 PI) into 0 15.379 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.379 * [backup-simplify]: Simplify 0 into 0 15.380 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.381 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 15.381 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.382 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 15.382 * [backup-simplify]: Simplify 0 into 0 15.383 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 15.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 15.384 * [backup-simplify]: Simplify 0 into 0 15.385 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 15.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 15.385 * [backup-simplify]: Simplify 0 into 0 15.386 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 15.387 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 15.387 * [backup-simplify]: Simplify 0 into 0 15.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 15.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 15.389 * [backup-simplify]: Simplify 0 into 0 15.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 15.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 15.391 * [backup-simplify]: Simplify 0 into 0 15.392 * [backup-simplify]: Simplify (* (* 1/2 PI) (/ 1 b)) into (* 1/2 (/ PI b)) 15.392 * [backup-simplify]: Simplify (/ PI (* 2 (/ 1 (- b)))) into (* -1/2 (* b PI)) 15.392 * [approximate]: Taking taylor expansion of (* -1/2 (* b PI)) in (b) around 0 15.392 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 15.392 * [taylor]: Taking taylor expansion of -1/2 in b 15.392 * [backup-simplify]: Simplify -1/2 into -1/2 15.392 * [taylor]: Taking taylor expansion of (* b PI) in b 15.392 * [taylor]: Taking taylor expansion of b in b 15.392 * [backup-simplify]: Simplify 0 into 0 15.392 * [backup-simplify]: Simplify 1 into 1 15.392 * [taylor]: Taking taylor expansion of PI in b 15.392 * [backup-simplify]: Simplify PI into PI 15.392 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 15.392 * [taylor]: Taking taylor expansion of -1/2 in b 15.392 * [backup-simplify]: Simplify -1/2 into -1/2 15.392 * [taylor]: Taking taylor expansion of (* b PI) in b 15.392 * [taylor]: Taking taylor expansion of b in b 15.392 * [backup-simplify]: Simplify 0 into 0 15.392 * [backup-simplify]: Simplify 1 into 1 15.392 * [taylor]: Taking taylor expansion of PI in b 15.392 * [backup-simplify]: Simplify PI into PI 15.392 * [backup-simplify]: Simplify (* 0 PI) into 0 15.393 * [backup-simplify]: Simplify (* -1/2 0) into 0 15.393 * [backup-simplify]: Simplify 0 into 0 15.393 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.394 * [backup-simplify]: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) 15.395 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 15.396 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.396 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 15.396 * [backup-simplify]: Simplify 0 into 0 15.397 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 15.398 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 15.398 * [backup-simplify]: Simplify 0 into 0 15.399 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 15.399 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 15.399 * [backup-simplify]: Simplify 0 into 0 15.400 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 15.401 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 15.401 * [backup-simplify]: Simplify 0 into 0 15.402 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 15.403 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 15.403 * [backup-simplify]: Simplify 0 into 0 15.404 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 15.405 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 15.405 * [backup-simplify]: Simplify 0 into 0 15.406 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (/ 1 (- b))) into (* 1/2 (/ PI b)) 15.406 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 15.406 * [backup-simplify]: Simplify (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) into (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (- b a)) 15.406 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (- b a)) in (a b) around 0 15.406 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (- b a)) in b 15.406 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in b 15.406 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in b 15.406 * [taylor]: Taking taylor expansion of 1/2 in b 15.406 * [backup-simplify]: Simplify 1/2 into 1/2 15.406 * [taylor]: Taking taylor expansion of (/ PI a) in b 15.406 * [taylor]: Taking taylor expansion of PI in b 15.407 * [backup-simplify]: Simplify PI into PI 15.407 * [taylor]: Taking taylor expansion of a in b 15.407 * [backup-simplify]: Simplify a into a 15.407 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 15.407 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 15.407 * [taylor]: Taking taylor expansion of 1/2 in b 15.407 * [backup-simplify]: Simplify 1/2 into 1/2 15.407 * [taylor]: Taking taylor expansion of (/ PI b) in b 15.407 * [taylor]: Taking taylor expansion of PI in b 15.407 * [backup-simplify]: Simplify PI into PI 15.407 * [taylor]: Taking taylor expansion of b in b 15.407 * [backup-simplify]: Simplify 0 into 0 15.407 * [backup-simplify]: Simplify 1 into 1 15.407 * [backup-simplify]: Simplify (/ PI 1) into PI 15.407 * [taylor]: Taking taylor expansion of (- b a) in b 15.407 * [taylor]: Taking taylor expansion of b in b 15.407 * [backup-simplify]: Simplify 0 into 0 15.407 * [backup-simplify]: Simplify 1 into 1 15.407 * [taylor]: Taking taylor expansion of a in b 15.407 * [backup-simplify]: Simplify a into a 15.407 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.408 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 15.409 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) 15.409 * [backup-simplify]: Simplify (- a) into (- a) 15.409 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 15.410 * [backup-simplify]: Simplify (/ (- (* 1/2 PI)) (- a)) into (* 1/2 (/ PI a)) 15.410 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (- b a)) in a 15.410 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in a 15.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 15.410 * [taylor]: Taking taylor expansion of 1/2 in a 15.410 * [backup-simplify]: Simplify 1/2 into 1/2 15.410 * [taylor]: Taking taylor expansion of (/ PI a) in a 15.410 * [taylor]: Taking taylor expansion of PI in a 15.410 * [backup-simplify]: Simplify PI into PI 15.410 * [taylor]: Taking taylor expansion of a in a 15.410 * [backup-simplify]: Simplify 0 into 0 15.410 * [backup-simplify]: Simplify 1 into 1 15.410 * [backup-simplify]: Simplify (/ PI 1) into PI 15.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in a 15.410 * [taylor]: Taking taylor expansion of 1/2 in a 15.410 * [backup-simplify]: Simplify 1/2 into 1/2 15.410 * [taylor]: Taking taylor expansion of (/ PI b) in a 15.410 * [taylor]: Taking taylor expansion of PI in a 15.410 * [backup-simplify]: Simplify PI into PI 15.410 * [taylor]: Taking taylor expansion of b in a 15.410 * [backup-simplify]: Simplify b into b 15.410 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 15.410 * [taylor]: Taking taylor expansion of (- b a) in a 15.410 * [taylor]: Taking taylor expansion of b in a 15.410 * [backup-simplify]: Simplify b into b 15.410 * [taylor]: Taking taylor expansion of a in a 15.410 * [backup-simplify]: Simplify 0 into 0 15.411 * [backup-simplify]: Simplify 1 into 1 15.411 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.411 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 15.412 * [backup-simplify]: Simplify (- 0) into 0 15.412 * [backup-simplify]: Simplify (+ b 0) into b 15.412 * [backup-simplify]: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) 15.412 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (- b a)) in a 15.412 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in a 15.412 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 15.412 * [taylor]: Taking taylor expansion of 1/2 in a 15.412 * [backup-simplify]: Simplify 1/2 into 1/2 15.412 * [taylor]: Taking taylor expansion of (/ PI a) in a 15.412 * [taylor]: Taking taylor expansion of PI in a 15.412 * [backup-simplify]: Simplify PI into PI 15.412 * [taylor]: Taking taylor expansion of a in a 15.412 * [backup-simplify]: Simplify 0 into 0 15.412 * [backup-simplify]: Simplify 1 into 1 15.413 * [backup-simplify]: Simplify (/ PI 1) into PI 15.413 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in a 15.413 * [taylor]: Taking taylor expansion of 1/2 in a 15.413 * [backup-simplify]: Simplify 1/2 into 1/2 15.413 * [taylor]: Taking taylor expansion of (/ PI b) in a 15.413 * [taylor]: Taking taylor expansion of PI in a 15.413 * [backup-simplify]: Simplify PI into PI 15.413 * [taylor]: Taking taylor expansion of b in a 15.413 * [backup-simplify]: Simplify b into b 15.413 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 15.413 * [taylor]: Taking taylor expansion of (- b a) in a 15.413 * [taylor]: Taking taylor expansion of b in a 15.413 * [backup-simplify]: Simplify b into b 15.413 * [taylor]: Taking taylor expansion of a in a 15.413 * [backup-simplify]: Simplify 0 into 0 15.413 * [backup-simplify]: Simplify 1 into 1 15.413 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.414 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 15.414 * [backup-simplify]: Simplify (- 0) into 0 15.414 * [backup-simplify]: Simplify (+ b 0) into b 15.414 * [backup-simplify]: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) 15.414 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 15.414 * [taylor]: Taking taylor expansion of 1/2 in b 15.414 * [backup-simplify]: Simplify 1/2 into 1/2 15.414 * [taylor]: Taking taylor expansion of (/ PI b) in b 15.414 * [taylor]: Taking taylor expansion of PI in b 15.414 * [backup-simplify]: Simplify PI into PI 15.414 * [taylor]: Taking taylor expansion of b in b 15.414 * [backup-simplify]: Simplify 0 into 0 15.414 * [backup-simplify]: Simplify 1 into 1 15.415 * [backup-simplify]: Simplify (/ PI 1) into PI 15.415 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.415 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 15.416 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 15.416 * [backup-simplify]: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) 15.417 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ PI b)))) into (- (* 1/2 (/ PI b))) 15.417 * [backup-simplify]: Simplify (- 1) into -1 15.417 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.417 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ PI b))) b) (+ (* (* 1/2 (/ PI b)) (/ -1 b)))) into 0 15.417 * [taylor]: Taking taylor expansion of 0 in b 15.417 * [backup-simplify]: Simplify 0 into 0 15.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 15.418 * [backup-simplify]: Simplify 0 into 0 15.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.420 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 15.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI b))) into 0 15.420 * [backup-simplify]: Simplify (- 0) into 0 15.420 * [backup-simplify]: Simplify (+ 0 0) into 0 15.421 * [backup-simplify]: Simplify (- 0) into 0 15.421 * [backup-simplify]: Simplify (+ 0 0) into 0 15.421 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* 0 (/ -1 b)))) into 0 15.421 * [taylor]: Taking taylor expansion of 0 in b 15.421 * [backup-simplify]: Simplify 0 into 0 15.421 * [backup-simplify]: Simplify 0 into 0 15.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.427 * [backup-simplify]: Simplify 0 into 0 15.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.429 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 15.430 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ PI b)))) into 0 15.430 * [backup-simplify]: Simplify (- 0) into 0 15.431 * [backup-simplify]: Simplify (+ 0 0) into 0 15.431 * [backup-simplify]: Simplify (- 0) into 0 15.431 * [backup-simplify]: Simplify (+ 0 0) into 0 15.431 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ -1 b)))) into 0 15.432 * [taylor]: Taking taylor expansion of 0 in b 15.432 * [backup-simplify]: Simplify 0 into 0 15.432 * [backup-simplify]: Simplify 0 into 0 15.432 * [backup-simplify]: Simplify 0 into 0 15.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.433 * [backup-simplify]: Simplify 0 into 0 15.433 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) 15.433 * [backup-simplify]: Simplify (/ (- (/ PI (* 2 (/ 1 a))) (/ PI (* 2 (/ 1 b)))) (- (/ 1 b) (/ 1 a))) into (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (- (/ 1 b) (/ 1 a))) 15.434 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (- (/ 1 b) (/ 1 a))) in (a b) around 0 15.434 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (- (/ 1 b) (/ 1 a))) in b 15.434 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in b 15.434 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 15.434 * [taylor]: Taking taylor expansion of 1/2 in b 15.434 * [backup-simplify]: Simplify 1/2 into 1/2 15.434 * [taylor]: Taking taylor expansion of (* a PI) in b 15.434 * [taylor]: Taking taylor expansion of a in b 15.434 * [backup-simplify]: Simplify a into a 15.434 * [taylor]: Taking taylor expansion of PI in b 15.434 * [backup-simplify]: Simplify PI into PI 15.434 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 15.434 * [taylor]: Taking taylor expansion of 1/2 in b 15.434 * [backup-simplify]: Simplify 1/2 into 1/2 15.434 * [taylor]: Taking taylor expansion of (* b PI) in b 15.434 * [taylor]: Taking taylor expansion of b in b 15.434 * [backup-simplify]: Simplify 0 into 0 15.434 * [backup-simplify]: Simplify 1 into 1 15.434 * [taylor]: Taking taylor expansion of PI in b 15.434 * [backup-simplify]: Simplify PI into PI 15.434 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 15.434 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.434 * [taylor]: Taking taylor expansion of b in b 15.434 * [backup-simplify]: Simplify 0 into 0 15.434 * [backup-simplify]: Simplify 1 into 1 15.434 * [backup-simplify]: Simplify (/ 1 1) into 1 15.434 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.434 * [taylor]: Taking taylor expansion of a in b 15.434 * [backup-simplify]: Simplify a into a 15.434 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.434 * [backup-simplify]: Simplify (* a PI) into (* a PI) 15.434 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 15.435 * [backup-simplify]: Simplify (* 0 PI) into 0 15.435 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.435 * [backup-simplify]: Simplify (- 0) into 0 15.435 * [backup-simplify]: Simplify (+ (* 1/2 (* a PI)) 0) into (* 1/2 (* a PI)) 15.435 * [backup-simplify]: Simplify (+ 1 0) into 1 15.436 * [backup-simplify]: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) 15.436 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (- (/ 1 b) (/ 1 a))) in a 15.436 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in a 15.436 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 15.436 * [taylor]: Taking taylor expansion of 1/2 in a 15.436 * [backup-simplify]: Simplify 1/2 into 1/2 15.436 * [taylor]: Taking taylor expansion of (* a PI) in a 15.436 * [taylor]: Taking taylor expansion of a in a 15.436 * [backup-simplify]: Simplify 0 into 0 15.436 * [backup-simplify]: Simplify 1 into 1 15.436 * [taylor]: Taking taylor expansion of PI in a 15.436 * [backup-simplify]: Simplify PI into PI 15.436 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 15.436 * [taylor]: Taking taylor expansion of 1/2 in a 15.436 * [backup-simplify]: Simplify 1/2 into 1/2 15.436 * [taylor]: Taking taylor expansion of (* b PI) in a 15.436 * [taylor]: Taking taylor expansion of b in a 15.436 * [backup-simplify]: Simplify b into b 15.436 * [taylor]: Taking taylor expansion of PI in a 15.436 * [backup-simplify]: Simplify PI into PI 15.436 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 15.436 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.436 * [taylor]: Taking taylor expansion of b in a 15.436 * [backup-simplify]: Simplify b into b 15.436 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.436 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.436 * [taylor]: Taking taylor expansion of a in a 15.436 * [backup-simplify]: Simplify 0 into 0 15.436 * [backup-simplify]: Simplify 1 into 1 15.436 * [backup-simplify]: Simplify (/ 1 1) into 1 15.437 * [backup-simplify]: Simplify (* 0 PI) into 0 15.437 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.437 * [backup-simplify]: Simplify (* b PI) into (* PI b) 15.437 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 15.437 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 15.437 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 15.437 * [backup-simplify]: Simplify (- 1) into -1 15.438 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.438 * [backup-simplify]: Simplify (/ (- (* 1/2 (* PI b))) -1) into (* 1/2 (* b PI)) 15.438 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (- (/ 1 b) (/ 1 a))) in a 15.438 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in a 15.438 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 15.438 * [taylor]: Taking taylor expansion of 1/2 in a 15.438 * [backup-simplify]: Simplify 1/2 into 1/2 15.438 * [taylor]: Taking taylor expansion of (* a PI) in a 15.438 * [taylor]: Taking taylor expansion of a in a 15.438 * [backup-simplify]: Simplify 0 into 0 15.438 * [backup-simplify]: Simplify 1 into 1 15.438 * [taylor]: Taking taylor expansion of PI in a 15.438 * [backup-simplify]: Simplify PI into PI 15.438 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 15.438 * [taylor]: Taking taylor expansion of 1/2 in a 15.438 * [backup-simplify]: Simplify 1/2 into 1/2 15.438 * [taylor]: Taking taylor expansion of (* b PI) in a 15.438 * [taylor]: Taking taylor expansion of b in a 15.438 * [backup-simplify]: Simplify b into b 15.438 * [taylor]: Taking taylor expansion of PI in a 15.438 * [backup-simplify]: Simplify PI into PI 15.438 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 15.438 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.438 * [taylor]: Taking taylor expansion of b in a 15.438 * [backup-simplify]: Simplify b into b 15.438 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.438 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.438 * [taylor]: Taking taylor expansion of a in a 15.438 * [backup-simplify]: Simplify 0 into 0 15.438 * [backup-simplify]: Simplify 1 into 1 15.438 * [backup-simplify]: Simplify (/ 1 1) into 1 15.439 * [backup-simplify]: Simplify (* 0 PI) into 0 15.439 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.439 * [backup-simplify]: Simplify (* b PI) into (* PI b) 15.439 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 15.439 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 15.439 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 15.439 * [backup-simplify]: Simplify (- 1) into -1 15.440 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.440 * [backup-simplify]: Simplify (/ (- (* 1/2 (* PI b))) -1) into (* 1/2 (* b PI)) 15.440 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 15.440 * [taylor]: Taking taylor expansion of 1/2 in b 15.440 * [backup-simplify]: Simplify 1/2 into 1/2 15.440 * [taylor]: Taking taylor expansion of (* b PI) in b 15.440 * [taylor]: Taking taylor expansion of b in b 15.440 * [backup-simplify]: Simplify 0 into 0 15.440 * [backup-simplify]: Simplify 1 into 1 15.440 * [taylor]: Taking taylor expansion of PI in b 15.440 * [backup-simplify]: Simplify PI into PI 15.441 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.441 * [backup-simplify]: Simplify (* 0 PI) into 0 15.442 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 15.442 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.443 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.444 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 15.445 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 15.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 15.445 * [backup-simplify]: Simplify (- 0) into 0 15.446 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 15.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.447 * [backup-simplify]: Simplify (- 0) into 0 15.447 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 15.447 * [backup-simplify]: Simplify (- (/ (* 1/2 PI) -1) (+ (* (* 1/2 (* b PI)) (/ (/ 1 b) -1)))) into 0 15.448 * [taylor]: Taking taylor expansion of 0 in b 15.448 * [backup-simplify]: Simplify 0 into 0 15.448 * [backup-simplify]: Simplify 0 into 0 15.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.449 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 15.449 * [backup-simplify]: Simplify 0 into 0 15.449 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.450 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 15.451 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 15.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* PI b)))) into 0 15.451 * [backup-simplify]: Simplify (- 0) into 0 15.452 * [backup-simplify]: Simplify (+ 0 0) into 0 15.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 15.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.452 * [backup-simplify]: Simplify (- 0) into 0 15.453 * [backup-simplify]: Simplify (+ 0 0) into 0 15.453 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1/2 (* b PI)) (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 15.453 * [taylor]: Taking taylor expansion of 0 in b 15.453 * [backup-simplify]: Simplify 0 into 0 15.453 * [backup-simplify]: Simplify 0 into 0 15.453 * [backup-simplify]: Simplify 0 into 0 15.454 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 15.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 15.455 * [backup-simplify]: Simplify 0 into 0 15.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 15.456 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 15.457 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.457 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 15.458 * [backup-simplify]: Simplify (- 0) into 0 15.458 * [backup-simplify]: Simplify (+ 0 0) into 0 15.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 15.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.459 * [backup-simplify]: Simplify (- 0) into 0 15.459 * [backup-simplify]: Simplify (+ 0 0) into 0 15.460 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1/2 (* b PI)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 15.460 * [taylor]: Taking taylor expansion of 0 in b 15.460 * [backup-simplify]: Simplify 0 into 0 15.460 * [backup-simplify]: Simplify 0 into 0 15.460 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) 15.461 * [backup-simplify]: Simplify (/ (- (/ PI (* 2 (/ 1 (- a)))) (/ PI (* 2 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) into (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (- (/ 1 a) (/ 1 b))) 15.461 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (- (/ 1 a) (/ 1 b))) in (a b) around 0 15.461 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (- (/ 1 a) (/ 1 b))) in b 15.461 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in b 15.461 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 15.461 * [taylor]: Taking taylor expansion of 1/2 in b 15.461 * [backup-simplify]: Simplify 1/2 into 1/2 15.461 * [taylor]: Taking taylor expansion of (* b PI) in b 15.461 * [taylor]: Taking taylor expansion of b in b 15.461 * [backup-simplify]: Simplify 0 into 0 15.461 * [backup-simplify]: Simplify 1 into 1 15.461 * [taylor]: Taking taylor expansion of PI in b 15.461 * [backup-simplify]: Simplify PI into PI 15.461 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 15.461 * [taylor]: Taking taylor expansion of 1/2 in b 15.461 * [backup-simplify]: Simplify 1/2 into 1/2 15.461 * [taylor]: Taking taylor expansion of (* a PI) in b 15.461 * [taylor]: Taking taylor expansion of a in b 15.461 * [backup-simplify]: Simplify a into a 15.461 * [taylor]: Taking taylor expansion of PI in b 15.461 * [backup-simplify]: Simplify PI into PI 15.461 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 15.461 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.461 * [taylor]: Taking taylor expansion of a in b 15.461 * [backup-simplify]: Simplify a into a 15.461 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.461 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.461 * [taylor]: Taking taylor expansion of b in b 15.461 * [backup-simplify]: Simplify 0 into 0 15.461 * [backup-simplify]: Simplify 1 into 1 15.461 * [backup-simplify]: Simplify (/ 1 1) into 1 15.462 * [backup-simplify]: Simplify (* 0 PI) into 0 15.462 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.462 * [backup-simplify]: Simplify (* a PI) into (* a PI) 15.462 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 15.462 * [backup-simplify]: Simplify (- (* 1/2 (* a PI))) into (- (* 1/2 (* a PI))) 15.463 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* a PI)))) into (- (* 1/2 (* a PI))) 15.463 * [backup-simplify]: Simplify (- 1) into -1 15.463 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.463 * [backup-simplify]: Simplify (/ (- (* 1/2 (* a PI))) -1) into (* 1/2 (* a PI)) 15.463 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (- (/ 1 a) (/ 1 b))) in a 15.463 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in a 15.463 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 15.463 * [taylor]: Taking taylor expansion of 1/2 in a 15.463 * [backup-simplify]: Simplify 1/2 into 1/2 15.463 * [taylor]: Taking taylor expansion of (* b PI) in a 15.463 * [taylor]: Taking taylor expansion of b in a 15.463 * [backup-simplify]: Simplify b into b 15.463 * [taylor]: Taking taylor expansion of PI in a 15.463 * [backup-simplify]: Simplify PI into PI 15.463 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 15.463 * [taylor]: Taking taylor expansion of 1/2 in a 15.463 * [backup-simplify]: Simplify 1/2 into 1/2 15.463 * [taylor]: Taking taylor expansion of (* a PI) in a 15.463 * [taylor]: Taking taylor expansion of a in a 15.463 * [backup-simplify]: Simplify 0 into 0 15.463 * [backup-simplify]: Simplify 1 into 1 15.463 * [taylor]: Taking taylor expansion of PI in a 15.463 * [backup-simplify]: Simplify PI into PI 15.463 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 15.463 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.463 * [taylor]: Taking taylor expansion of a in a 15.463 * [backup-simplify]: Simplify 0 into 0 15.463 * [backup-simplify]: Simplify 1 into 1 15.464 * [backup-simplify]: Simplify (/ 1 1) into 1 15.464 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.464 * [taylor]: Taking taylor expansion of b in a 15.464 * [backup-simplify]: Simplify b into b 15.464 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.464 * [backup-simplify]: Simplify (* b PI) into (* PI b) 15.464 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 15.464 * [backup-simplify]: Simplify (* 0 PI) into 0 15.464 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.465 * [backup-simplify]: Simplify (- 0) into 0 15.465 * [backup-simplify]: Simplify (+ (* 1/2 (* PI b)) 0) into (* 1/2 (* PI b)) 15.465 * [backup-simplify]: Simplify (+ 1 0) into 1 15.465 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 15.465 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (- (/ 1 a) (/ 1 b))) in a 15.465 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in a 15.465 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 15.465 * [taylor]: Taking taylor expansion of 1/2 in a 15.465 * [backup-simplify]: Simplify 1/2 into 1/2 15.465 * [taylor]: Taking taylor expansion of (* b PI) in a 15.465 * [taylor]: Taking taylor expansion of b in a 15.465 * [backup-simplify]: Simplify b into b 15.465 * [taylor]: Taking taylor expansion of PI in a 15.465 * [backup-simplify]: Simplify PI into PI 15.465 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 15.465 * [taylor]: Taking taylor expansion of 1/2 in a 15.465 * [backup-simplify]: Simplify 1/2 into 1/2 15.465 * [taylor]: Taking taylor expansion of (* a PI) in a 15.465 * [taylor]: Taking taylor expansion of a in a 15.465 * [backup-simplify]: Simplify 0 into 0 15.465 * [backup-simplify]: Simplify 1 into 1 15.465 * [taylor]: Taking taylor expansion of PI in a 15.465 * [backup-simplify]: Simplify PI into PI 15.465 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 15.465 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.465 * [taylor]: Taking taylor expansion of a in a 15.466 * [backup-simplify]: Simplify 0 into 0 15.466 * [backup-simplify]: Simplify 1 into 1 15.466 * [backup-simplify]: Simplify (/ 1 1) into 1 15.466 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.466 * [taylor]: Taking taylor expansion of b in a 15.466 * [backup-simplify]: Simplify b into b 15.466 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.466 * [backup-simplify]: Simplify (* b PI) into (* PI b) 15.466 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 15.466 * [backup-simplify]: Simplify (* 0 PI) into 0 15.466 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.467 * [backup-simplify]: Simplify (- 0) into 0 15.467 * [backup-simplify]: Simplify (+ (* 1/2 (* PI b)) 0) into (* 1/2 (* PI b)) 15.467 * [backup-simplify]: Simplify (+ 1 0) into 1 15.467 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 15.467 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 15.467 * [taylor]: Taking taylor expansion of 1/2 in b 15.467 * [backup-simplify]: Simplify 1/2 into 1/2 15.467 * [taylor]: Taking taylor expansion of (* b PI) in b 15.467 * [taylor]: Taking taylor expansion of b in b 15.467 * [backup-simplify]: Simplify 0 into 0 15.467 * [backup-simplify]: Simplify 1 into 1 15.467 * [taylor]: Taking taylor expansion of PI in b 15.467 * [backup-simplify]: Simplify PI into PI 15.468 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.469 * [backup-simplify]: Simplify (* 0 PI) into 0 15.469 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 15.470 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.470 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 15.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 15.471 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.472 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 15.473 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 15.474 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) 15.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.474 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 15.474 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 15.476 * [backup-simplify]: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* b PI)) (/ (- (/ 1 b)) 1)))) into 0 15.476 * [taylor]: Taking taylor expansion of 0 in b 15.476 * [backup-simplify]: Simplify 0 into 0 15.476 * [backup-simplify]: Simplify 0 into 0 15.476 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.477 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 15.477 * [backup-simplify]: Simplify 0 into 0 15.477 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 15.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* PI b)))) into 0 15.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 15.479 * [backup-simplify]: Simplify (- 0) into 0 15.480 * [backup-simplify]: Simplify (+ 0 0) into 0 15.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 15.481 * [backup-simplify]: Simplify (- 0) into 0 15.482 * [backup-simplify]: Simplify (+ 0 0) into 0 15.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 (* b PI)) (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 15.483 * [taylor]: Taking taylor expansion of 0 in b 15.483 * [backup-simplify]: Simplify 0 into 0 15.483 * [backup-simplify]: Simplify 0 into 0 15.483 * [backup-simplify]: Simplify 0 into 0 15.485 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 15.486 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 15.486 * [backup-simplify]: Simplify 0 into 0 15.487 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.488 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 15.489 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 15.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 15.491 * [backup-simplify]: Simplify (- 0) into 0 15.491 * [backup-simplify]: Simplify (+ 0 0) into 0 15.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 15.493 * [backup-simplify]: Simplify (- 0) into 0 15.493 * [backup-simplify]: Simplify (+ 0 0) into 0 15.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 (* b PI)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 15.495 * [taylor]: Taking taylor expansion of 0 in b 15.495 * [backup-simplify]: Simplify 0 into 0 15.495 * [backup-simplify]: Simplify 0 into 0 15.495 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 (- b)) (/ 1 (- a)))) into (* 1/2 (/ PI (* a b))) 15.495 * * * * [progress]: [ 4 / 4 ] generating series at (2) 15.496 * [backup-simplify]: Simplify (/ (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (- b a)) (+ a b)) into (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) 15.496 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) in (a b) around 0 15.496 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) in b 15.496 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in b 15.496 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in b 15.496 * [taylor]: Taking taylor expansion of 1/2 in b 15.496 * [backup-simplify]: Simplify 1/2 into 1/2 15.496 * [taylor]: Taking taylor expansion of (/ PI a) in b 15.496 * [taylor]: Taking taylor expansion of PI in b 15.496 * [backup-simplify]: Simplify PI into PI 15.496 * [taylor]: Taking taylor expansion of a in b 15.496 * [backup-simplify]: Simplify a into a 15.496 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 15.497 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 15.497 * [taylor]: Taking taylor expansion of 1/2 in b 15.497 * [backup-simplify]: Simplify 1/2 into 1/2 15.497 * [taylor]: Taking taylor expansion of (/ PI b) in b 15.497 * [taylor]: Taking taylor expansion of PI in b 15.497 * [backup-simplify]: Simplify PI into PI 15.497 * [taylor]: Taking taylor expansion of b in b 15.497 * [backup-simplify]: Simplify 0 into 0 15.497 * [backup-simplify]: Simplify 1 into 1 15.497 * [backup-simplify]: Simplify (/ PI 1) into PI 15.497 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 15.497 * [taylor]: Taking taylor expansion of (- b a) in b 15.497 * [taylor]: Taking taylor expansion of b in b 15.497 * [backup-simplify]: Simplify 0 into 0 15.498 * [backup-simplify]: Simplify 1 into 1 15.498 * [taylor]: Taking taylor expansion of a in b 15.498 * [backup-simplify]: Simplify a into a 15.498 * [taylor]: Taking taylor expansion of (+ a b) in b 15.498 * [taylor]: Taking taylor expansion of a in b 15.498 * [backup-simplify]: Simplify a into a 15.498 * [taylor]: Taking taylor expansion of b in b 15.498 * [backup-simplify]: Simplify 0 into 0 15.498 * [backup-simplify]: Simplify 1 into 1 15.498 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.499 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 15.501 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) 15.501 * [backup-simplify]: Simplify (- a) into (- a) 15.501 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 15.501 * [backup-simplify]: Simplify (+ a 0) into a 15.501 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 15.502 * [backup-simplify]: Simplify (/ (- (* 1/2 PI)) (* -1 (pow a 2))) into (* 1/2 (/ PI (pow a 2))) 15.502 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) in a 15.502 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in a 15.502 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 15.502 * [taylor]: Taking taylor expansion of 1/2 in a 15.502 * [backup-simplify]: Simplify 1/2 into 1/2 15.502 * [taylor]: Taking taylor expansion of (/ PI a) in a 15.502 * [taylor]: Taking taylor expansion of PI in a 15.502 * [backup-simplify]: Simplify PI into PI 15.502 * [taylor]: Taking taylor expansion of a in a 15.503 * [backup-simplify]: Simplify 0 into 0 15.503 * [backup-simplify]: Simplify 1 into 1 15.503 * [backup-simplify]: Simplify (/ PI 1) into PI 15.503 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in a 15.503 * [taylor]: Taking taylor expansion of 1/2 in a 15.503 * [backup-simplify]: Simplify 1/2 into 1/2 15.503 * [taylor]: Taking taylor expansion of (/ PI b) in a 15.503 * [taylor]: Taking taylor expansion of PI in a 15.503 * [backup-simplify]: Simplify PI into PI 15.503 * [taylor]: Taking taylor expansion of b in a 15.503 * [backup-simplify]: Simplify b into b 15.503 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 15.503 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 15.503 * [taylor]: Taking taylor expansion of (- b a) in a 15.503 * [taylor]: Taking taylor expansion of b in a 15.503 * [backup-simplify]: Simplify b into b 15.503 * [taylor]: Taking taylor expansion of a in a 15.503 * [backup-simplify]: Simplify 0 into 0 15.503 * [backup-simplify]: Simplify 1 into 1 15.503 * [taylor]: Taking taylor expansion of (+ a b) in a 15.504 * [taylor]: Taking taylor expansion of a in a 15.504 * [backup-simplify]: Simplify 0 into 0 15.504 * [backup-simplify]: Simplify 1 into 1 15.504 * [taylor]: Taking taylor expansion of b in a 15.504 * [backup-simplify]: Simplify b into b 15.504 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.505 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 15.506 * [backup-simplify]: Simplify (- 0) into 0 15.506 * [backup-simplify]: Simplify (+ b 0) into b 15.506 * [backup-simplify]: Simplify (+ 0 b) into b 15.506 * [backup-simplify]: Simplify (* b b) into (pow b 2) 15.506 * [backup-simplify]: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) 15.506 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (- b a) (+ a b))) in a 15.506 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) in a 15.506 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 15.506 * [taylor]: Taking taylor expansion of 1/2 in a 15.506 * [backup-simplify]: Simplify 1/2 into 1/2 15.506 * [taylor]: Taking taylor expansion of (/ PI a) in a 15.506 * [taylor]: Taking taylor expansion of PI in a 15.506 * [backup-simplify]: Simplify PI into PI 15.507 * [taylor]: Taking taylor expansion of a in a 15.507 * [backup-simplify]: Simplify 0 into 0 15.507 * [backup-simplify]: Simplify 1 into 1 15.507 * [backup-simplify]: Simplify (/ PI 1) into PI 15.507 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in a 15.507 * [taylor]: Taking taylor expansion of 1/2 in a 15.507 * [backup-simplify]: Simplify 1/2 into 1/2 15.507 * [taylor]: Taking taylor expansion of (/ PI b) in a 15.507 * [taylor]: Taking taylor expansion of PI in a 15.507 * [backup-simplify]: Simplify PI into PI 15.507 * [taylor]: Taking taylor expansion of b in a 15.507 * [backup-simplify]: Simplify b into b 15.507 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 15.507 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 15.507 * [taylor]: Taking taylor expansion of (- b a) in a 15.507 * [taylor]: Taking taylor expansion of b in a 15.507 * [backup-simplify]: Simplify b into b 15.507 * [taylor]: Taking taylor expansion of a in a 15.507 * [backup-simplify]: Simplify 0 into 0 15.507 * [backup-simplify]: Simplify 1 into 1 15.508 * [taylor]: Taking taylor expansion of (+ a b) in a 15.508 * [taylor]: Taking taylor expansion of a in a 15.508 * [backup-simplify]: Simplify 0 into 0 15.508 * [backup-simplify]: Simplify 1 into 1 15.508 * [taylor]: Taking taylor expansion of b in a 15.508 * [backup-simplify]: Simplify b into b 15.508 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.509 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 15.510 * [backup-simplify]: Simplify (- 0) into 0 15.510 * [backup-simplify]: Simplify (+ b 0) into b 15.510 * [backup-simplify]: Simplify (+ 0 b) into b 15.510 * [backup-simplify]: Simplify (* b b) into (pow b 2) 15.510 * [backup-simplify]: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) 15.510 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 15.510 * [taylor]: Taking taylor expansion of 1/2 in b 15.510 * [backup-simplify]: Simplify 1/2 into 1/2 15.510 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 15.510 * [taylor]: Taking taylor expansion of PI in b 15.511 * [backup-simplify]: Simplify PI into PI 15.511 * [taylor]: Taking taylor expansion of (pow b 2) in b 15.511 * [taylor]: Taking taylor expansion of b in b 15.511 * [backup-simplify]: Simplify 0 into 0 15.511 * [backup-simplify]: Simplify 1 into 1 15.511 * [backup-simplify]: Simplify (* 1 1) into 1 15.511 * [backup-simplify]: Simplify (/ PI 1) into PI 15.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.514 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 15.514 * [backup-simplify]: Simplify 0 into 0 15.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 15.515 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 15.516 * [backup-simplify]: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) 15.516 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ PI b)))) into (- (* 1/2 (/ PI b))) 15.516 * [backup-simplify]: Simplify (+ 1 0) into 1 15.517 * [backup-simplify]: Simplify (- 1) into -1 15.517 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.517 * [backup-simplify]: Simplify (+ (* b 1) (* -1 b)) into 0 15.518 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ PI b))) (pow b 2)) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 (pow b 2))))) into (- (* 1/2 (/ PI (pow b 3)))) 15.518 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 15.518 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 15.518 * [taylor]: Taking taylor expansion of 1/2 in b 15.518 * [backup-simplify]: Simplify 1/2 into 1/2 15.518 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 15.518 * [taylor]: Taking taylor expansion of PI in b 15.518 * [backup-simplify]: Simplify PI into PI 15.518 * [taylor]: Taking taylor expansion of (pow b 3) in b 15.518 * [taylor]: Taking taylor expansion of b in b 15.518 * [backup-simplify]: Simplify 0 into 0 15.518 * [backup-simplify]: Simplify 1 into 1 15.518 * [backup-simplify]: Simplify (* 1 1) into 1 15.519 * [backup-simplify]: Simplify (* 1 1) into 1 15.519 * [backup-simplify]: Simplify (/ PI 1) into PI 15.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.526 * [backup-simplify]: Simplify (- 0) into 0 15.526 * [backup-simplify]: Simplify 0 into 0 15.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.529 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.529 * [backup-simplify]: Simplify 0 into 0 15.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.531 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.531 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 15.531 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI b))) into 0 15.532 * [backup-simplify]: Simplify (- 0) into 0 15.532 * [backup-simplify]: Simplify (+ 0 0) into 0 15.532 * [backup-simplify]: Simplify (+ 0 0) into 0 15.533 * [backup-simplify]: Simplify (- 0) into 0 15.533 * [backup-simplify]: Simplify (+ 0 0) into 0 15.534 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 1) (* 0 b))) into (- 1) 15.534 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (* 1/2 (/ PI (pow b 2))) (/ (- 1) (pow b 2))) (* (- (* 1/2 (/ PI (pow b 3)))) (/ 0 (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 15.535 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 15.535 * [taylor]: Taking taylor expansion of 1/2 in b 15.535 * [backup-simplify]: Simplify 1/2 into 1/2 15.535 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 15.535 * [taylor]: Taking taylor expansion of PI in b 15.535 * [backup-simplify]: Simplify PI into PI 15.535 * [taylor]: Taking taylor expansion of (pow b 4) in b 15.535 * [taylor]: Taking taylor expansion of b in b 15.535 * [backup-simplify]: Simplify 0 into 0 15.535 * [backup-simplify]: Simplify 1 into 1 15.535 * [backup-simplify]: Simplify (* 1 1) into 1 15.535 * [backup-simplify]: Simplify (* 1 1) into 1 15.536 * [backup-simplify]: Simplify (/ PI 1) into PI 15.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.549 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.549 * [backup-simplify]: Simplify 0 into 0 15.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.552 * [backup-simplify]: Simplify (- 0) into 0 15.552 * [backup-simplify]: Simplify 0 into 0 15.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.554 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.554 * [backup-simplify]: Simplify 0 into 0 15.554 * [backup-simplify]: Simplify 0 into 0 15.554 * [backup-simplify]: Simplify (/ (/ (- (/ PI (* 2 (/ 1 a))) (/ PI (* 2 (/ 1 b)))) (- (/ 1 b) (/ 1 a))) (+ (/ 1 a) (/ 1 b))) into (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) 15.554 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 15.554 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 15.554 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in b 15.554 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 15.554 * [taylor]: Taking taylor expansion of 1/2 in b 15.554 * [backup-simplify]: Simplify 1/2 into 1/2 15.554 * [taylor]: Taking taylor expansion of (* a PI) in b 15.554 * [taylor]: Taking taylor expansion of a in b 15.554 * [backup-simplify]: Simplify a into a 15.554 * [taylor]: Taking taylor expansion of PI in b 15.554 * [backup-simplify]: Simplify PI into PI 15.554 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 15.555 * [taylor]: Taking taylor expansion of 1/2 in b 15.555 * [backup-simplify]: Simplify 1/2 into 1/2 15.555 * [taylor]: Taking taylor expansion of (* b PI) in b 15.555 * [taylor]: Taking taylor expansion of b in b 15.555 * [backup-simplify]: Simplify 0 into 0 15.555 * [backup-simplify]: Simplify 1 into 1 15.555 * [taylor]: Taking taylor expansion of PI in b 15.555 * [backup-simplify]: Simplify PI into PI 15.555 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 15.555 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 15.555 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.555 * [taylor]: Taking taylor expansion of b in b 15.555 * [backup-simplify]: Simplify 0 into 0 15.555 * [backup-simplify]: Simplify 1 into 1 15.555 * [backup-simplify]: Simplify (/ 1 1) into 1 15.555 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.555 * [taylor]: Taking taylor expansion of a in b 15.555 * [backup-simplify]: Simplify a into a 15.555 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.555 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 15.555 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.555 * [taylor]: Taking taylor expansion of a in b 15.555 * [backup-simplify]: Simplify a into a 15.555 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.555 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.555 * [taylor]: Taking taylor expansion of b in b 15.555 * [backup-simplify]: Simplify 0 into 0 15.555 * [backup-simplify]: Simplify 1 into 1 15.555 * [backup-simplify]: Simplify (/ 1 1) into 1 15.555 * [backup-simplify]: Simplify (* a PI) into (* a PI) 15.556 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 15.556 * [backup-simplify]: Simplify (* 0 PI) into 0 15.556 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.556 * [backup-simplify]: Simplify (- 0) into 0 15.556 * [backup-simplify]: Simplify (+ (* 1/2 (* a PI)) 0) into (* 1/2 (* a PI)) 15.557 * [backup-simplify]: Simplify (+ 1 0) into 1 15.557 * [backup-simplify]: Simplify (+ 0 1) into 1 15.557 * [backup-simplify]: Simplify (* 1 1) into 1 15.557 * [backup-simplify]: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) 15.557 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 15.557 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in a 15.557 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 15.557 * [taylor]: Taking taylor expansion of 1/2 in a 15.557 * [backup-simplify]: Simplify 1/2 into 1/2 15.557 * [taylor]: Taking taylor expansion of (* a PI) in a 15.557 * [taylor]: Taking taylor expansion of a in a 15.557 * [backup-simplify]: Simplify 0 into 0 15.557 * [backup-simplify]: Simplify 1 into 1 15.557 * [taylor]: Taking taylor expansion of PI in a 15.557 * [backup-simplify]: Simplify PI into PI 15.557 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 15.557 * [taylor]: Taking taylor expansion of 1/2 in a 15.557 * [backup-simplify]: Simplify 1/2 into 1/2 15.557 * [taylor]: Taking taylor expansion of (* b PI) in a 15.557 * [taylor]: Taking taylor expansion of b in a 15.558 * [backup-simplify]: Simplify b into b 15.558 * [taylor]: Taking taylor expansion of PI in a 15.558 * [backup-simplify]: Simplify PI into PI 15.558 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 15.558 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 15.558 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.558 * [taylor]: Taking taylor expansion of b in a 15.558 * [backup-simplify]: Simplify b into b 15.558 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.558 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.558 * [taylor]: Taking taylor expansion of a in a 15.558 * [backup-simplify]: Simplify 0 into 0 15.558 * [backup-simplify]: Simplify 1 into 1 15.558 * [backup-simplify]: Simplify (/ 1 1) into 1 15.558 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 15.558 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.558 * [taylor]: Taking taylor expansion of a in a 15.558 * [backup-simplify]: Simplify 0 into 0 15.558 * [backup-simplify]: Simplify 1 into 1 15.558 * [backup-simplify]: Simplify (/ 1 1) into 1 15.558 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.558 * [taylor]: Taking taylor expansion of b in a 15.558 * [backup-simplify]: Simplify b into b 15.558 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.559 * [backup-simplify]: Simplify (* 0 PI) into 0 15.559 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.559 * [backup-simplify]: Simplify (* b PI) into (* PI b) 15.559 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 15.559 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 15.559 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 15.559 * [backup-simplify]: Simplify (- 1) into -1 15.560 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.560 * [backup-simplify]: Simplify (+ 1 0) into 1 15.560 * [backup-simplify]: Simplify (* -1 1) into -1 15.560 * [backup-simplify]: Simplify (/ (- (* 1/2 (* PI b))) -1) into (* 1/2 (* b PI)) 15.560 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 15.560 * [taylor]: Taking taylor expansion of (- (* 1/2 (* a PI)) (* 1/2 (* b PI))) in a 15.560 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 15.560 * [taylor]: Taking taylor expansion of 1/2 in a 15.560 * [backup-simplify]: Simplify 1/2 into 1/2 15.560 * [taylor]: Taking taylor expansion of (* a PI) in a 15.560 * [taylor]: Taking taylor expansion of a in a 15.560 * [backup-simplify]: Simplify 0 into 0 15.560 * [backup-simplify]: Simplify 1 into 1 15.560 * [taylor]: Taking taylor expansion of PI in a 15.560 * [backup-simplify]: Simplify PI into PI 15.560 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 15.560 * [taylor]: Taking taylor expansion of 1/2 in a 15.561 * [backup-simplify]: Simplify 1/2 into 1/2 15.561 * [taylor]: Taking taylor expansion of (* b PI) in a 15.561 * [taylor]: Taking taylor expansion of b in a 15.561 * [backup-simplify]: Simplify b into b 15.561 * [taylor]: Taking taylor expansion of PI in a 15.561 * [backup-simplify]: Simplify PI into PI 15.561 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 15.561 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 15.561 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.561 * [taylor]: Taking taylor expansion of b in a 15.561 * [backup-simplify]: Simplify b into b 15.561 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.561 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.561 * [taylor]: Taking taylor expansion of a in a 15.561 * [backup-simplify]: Simplify 0 into 0 15.561 * [backup-simplify]: Simplify 1 into 1 15.561 * [backup-simplify]: Simplify (/ 1 1) into 1 15.561 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 15.561 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.561 * [taylor]: Taking taylor expansion of a in a 15.561 * [backup-simplify]: Simplify 0 into 0 15.561 * [backup-simplify]: Simplify 1 into 1 15.561 * [backup-simplify]: Simplify (/ 1 1) into 1 15.561 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.561 * [taylor]: Taking taylor expansion of b in a 15.561 * [backup-simplify]: Simplify b into b 15.561 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.562 * [backup-simplify]: Simplify (* 0 PI) into 0 15.562 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.562 * [backup-simplify]: Simplify (* b PI) into (* PI b) 15.562 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 15.562 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 15.562 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 15.562 * [backup-simplify]: Simplify (- 1) into -1 15.563 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.563 * [backup-simplify]: Simplify (+ 1 0) into 1 15.563 * [backup-simplify]: Simplify (* -1 1) into -1 15.563 * [backup-simplify]: Simplify (/ (- (* 1/2 (* PI b))) -1) into (* 1/2 (* b PI)) 15.563 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 15.563 * [taylor]: Taking taylor expansion of 1/2 in b 15.563 * [backup-simplify]: Simplify 1/2 into 1/2 15.563 * [taylor]: Taking taylor expansion of (* b PI) in b 15.563 * [taylor]: Taking taylor expansion of b in b 15.563 * [backup-simplify]: Simplify 0 into 0 15.564 * [backup-simplify]: Simplify 1 into 1 15.564 * [taylor]: Taking taylor expansion of PI in b 15.564 * [backup-simplify]: Simplify PI into PI 15.564 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.565 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.565 * [backup-simplify]: Simplify (* 0 PI) into 0 15.566 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 15.566 * [backup-simplify]: Simplify 0 into 0 15.567 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.568 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 15.568 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 15.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 15.569 * [backup-simplify]: Simplify (- 0) into 0 15.569 * [backup-simplify]: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) 15.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.570 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 15.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.571 * [backup-simplify]: Simplify (- 0) into 0 15.571 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 15.571 * [backup-simplify]: Simplify (+ (* -1 (/ 1 b)) (* (/ 1 b) 1)) into 0 15.572 * [backup-simplify]: Simplify (- (/ (* 1/2 PI) -1) (+ (* (* 1/2 (* b PI)) (/ 0 -1)))) into (- (* 1/2 PI)) 15.572 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 15.572 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 15.572 * [taylor]: Taking taylor expansion of 1/2 in b 15.572 * [backup-simplify]: Simplify 1/2 into 1/2 15.572 * [taylor]: Taking taylor expansion of PI in b 15.572 * [backup-simplify]: Simplify PI into PI 15.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.573 * [backup-simplify]: Simplify (- 0) into 0 15.573 * [backup-simplify]: Simplify 0 into 0 15.573 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 15.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 15.574 * [backup-simplify]: Simplify 0 into 0 15.575 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 15.576 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 15.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* PI b)))) into 0 15.577 * [backup-simplify]: Simplify (- 0) into 0 15.578 * [backup-simplify]: Simplify (+ 0 0) into 0 15.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 15.579 * [backup-simplify]: Simplify (+ 0 0) into 0 15.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 15.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.580 * [backup-simplify]: Simplify (- 0) into 0 15.581 * [backup-simplify]: Simplify (+ 0 0) into 0 15.582 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 15.583 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1/2 (* b PI)) (/ (/ 1 (pow b 2)) -1)) (* (- (* 1/2 PI)) (/ 0 -1)))) into (* 1/2 (/ PI b)) 15.583 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 15.583 * [taylor]: Taking taylor expansion of 1/2 in b 15.583 * [backup-simplify]: Simplify 1/2 into 1/2 15.583 * [taylor]: Taking taylor expansion of (/ PI b) in b 15.583 * [taylor]: Taking taylor expansion of PI in b 15.583 * [backup-simplify]: Simplify PI into PI 15.583 * [taylor]: Taking taylor expansion of b in b 15.584 * [backup-simplify]: Simplify 0 into 0 15.584 * [backup-simplify]: Simplify 1 into 1 15.584 * [backup-simplify]: Simplify (/ PI 1) into PI 15.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.588 * [backup-simplify]: Simplify 0 into 0 15.589 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.590 * [backup-simplify]: Simplify (- 0) into 0 15.590 * [backup-simplify]: Simplify 0 into 0 15.591 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 15.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 15.592 * [backup-simplify]: Simplify 0 into 0 15.592 * [backup-simplify]: Simplify 0 into 0 15.592 * [backup-simplify]: Simplify (/ (/ (- (/ PI (* 2 (/ 1 (- a)))) (/ PI (* 2 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 15.592 * [approximate]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 15.592 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 15.592 * [taylor]: Taking taylor expansion of -1 in b 15.592 * [backup-simplify]: Simplify -1 into -1 15.592 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 15.592 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in b 15.592 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 15.592 * [taylor]: Taking taylor expansion of 1/2 in b 15.592 * [backup-simplify]: Simplify 1/2 into 1/2 15.593 * [taylor]: Taking taylor expansion of (* b PI) in b 15.593 * [taylor]: Taking taylor expansion of b in b 15.593 * [backup-simplify]: Simplify 0 into 0 15.593 * [backup-simplify]: Simplify 1 into 1 15.593 * [taylor]: Taking taylor expansion of PI in b 15.593 * [backup-simplify]: Simplify PI into PI 15.593 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in b 15.593 * [taylor]: Taking taylor expansion of 1/2 in b 15.593 * [backup-simplify]: Simplify 1/2 into 1/2 15.593 * [taylor]: Taking taylor expansion of (* a PI) in b 15.593 * [taylor]: Taking taylor expansion of a in b 15.593 * [backup-simplify]: Simplify a into a 15.593 * [taylor]: Taking taylor expansion of PI in b 15.593 * [backup-simplify]: Simplify PI into PI 15.593 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 15.593 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 15.593 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.593 * [taylor]: Taking taylor expansion of a in b 15.593 * [backup-simplify]: Simplify a into a 15.593 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.593 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.593 * [taylor]: Taking taylor expansion of b in b 15.593 * [backup-simplify]: Simplify 0 into 0 15.593 * [backup-simplify]: Simplify 1 into 1 15.593 * [backup-simplify]: Simplify (/ 1 1) into 1 15.593 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 15.593 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.593 * [taylor]: Taking taylor expansion of a in b 15.593 * [backup-simplify]: Simplify a into a 15.593 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.593 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.593 * [taylor]: Taking taylor expansion of b in b 15.593 * [backup-simplify]: Simplify 0 into 0 15.593 * [backup-simplify]: Simplify 1 into 1 15.594 * [backup-simplify]: Simplify (/ 1 1) into 1 15.594 * [backup-simplify]: Simplify (* 0 PI) into 0 15.594 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.594 * [backup-simplify]: Simplify (* a PI) into (* a PI) 15.594 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 15.594 * [backup-simplify]: Simplify (- (* 1/2 (* a PI))) into (- (* 1/2 (* a PI))) 15.594 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* a PI)))) into (- (* 1/2 (* a PI))) 15.595 * [backup-simplify]: Simplify (+ 0 1) into 1 15.595 * [backup-simplify]: Simplify (- 1) into -1 15.595 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.595 * [backup-simplify]: Simplify (* 1 -1) into -1 15.595 * [backup-simplify]: Simplify (/ (- (* 1/2 (* a PI))) -1) into (* 1/2 (* a PI)) 15.595 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 15.596 * [taylor]: Taking taylor expansion of -1 in a 15.596 * [backup-simplify]: Simplify -1 into -1 15.596 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 15.596 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in a 15.596 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 15.596 * [taylor]: Taking taylor expansion of 1/2 in a 15.596 * [backup-simplify]: Simplify 1/2 into 1/2 15.596 * [taylor]: Taking taylor expansion of (* b PI) in a 15.596 * [taylor]: Taking taylor expansion of b in a 15.596 * [backup-simplify]: Simplify b into b 15.596 * [taylor]: Taking taylor expansion of PI in a 15.596 * [backup-simplify]: Simplify PI into PI 15.596 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 15.596 * [taylor]: Taking taylor expansion of 1/2 in a 15.596 * [backup-simplify]: Simplify 1/2 into 1/2 15.596 * [taylor]: Taking taylor expansion of (* a PI) in a 15.596 * [taylor]: Taking taylor expansion of a in a 15.596 * [backup-simplify]: Simplify 0 into 0 15.596 * [backup-simplify]: Simplify 1 into 1 15.596 * [taylor]: Taking taylor expansion of PI in a 15.596 * [backup-simplify]: Simplify PI into PI 15.596 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 15.596 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 15.596 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.596 * [taylor]: Taking taylor expansion of a in a 15.596 * [backup-simplify]: Simplify 0 into 0 15.596 * [backup-simplify]: Simplify 1 into 1 15.596 * [backup-simplify]: Simplify (/ 1 1) into 1 15.596 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.596 * [taylor]: Taking taylor expansion of b in a 15.596 * [backup-simplify]: Simplify b into b 15.596 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.596 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 15.596 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.596 * [taylor]: Taking taylor expansion of a in a 15.596 * [backup-simplify]: Simplify 0 into 0 15.596 * [backup-simplify]: Simplify 1 into 1 15.597 * [backup-simplify]: Simplify (/ 1 1) into 1 15.597 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.597 * [taylor]: Taking taylor expansion of b in a 15.597 * [backup-simplify]: Simplify b into b 15.597 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.597 * [backup-simplify]: Simplify (* b PI) into (* PI b) 15.597 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 15.597 * [backup-simplify]: Simplify (* 0 PI) into 0 15.597 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.598 * [backup-simplify]: Simplify (- 0) into 0 15.598 * [backup-simplify]: Simplify (+ (* 1/2 (* PI b)) 0) into (* 1/2 (* PI b)) 15.598 * [backup-simplify]: Simplify (+ 1 0) into 1 15.598 * [backup-simplify]: Simplify (+ 1 0) into 1 15.599 * [backup-simplify]: Simplify (* 1 1) into 1 15.599 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 15.599 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 15.599 * [taylor]: Taking taylor expansion of -1 in a 15.599 * [backup-simplify]: Simplify -1 into -1 15.599 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 15.599 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI)) (* 1/2 (* a PI))) in a 15.599 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in a 15.599 * [taylor]: Taking taylor expansion of 1/2 in a 15.599 * [backup-simplify]: Simplify 1/2 into 1/2 15.599 * [taylor]: Taking taylor expansion of (* b PI) in a 15.599 * [taylor]: Taking taylor expansion of b in a 15.599 * [backup-simplify]: Simplify b into b 15.599 * [taylor]: Taking taylor expansion of PI in a 15.599 * [backup-simplify]: Simplify PI into PI 15.599 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 15.599 * [taylor]: Taking taylor expansion of 1/2 in a 15.599 * [backup-simplify]: Simplify 1/2 into 1/2 15.599 * [taylor]: Taking taylor expansion of (* a PI) in a 15.599 * [taylor]: Taking taylor expansion of a in a 15.599 * [backup-simplify]: Simplify 0 into 0 15.599 * [backup-simplify]: Simplify 1 into 1 15.599 * [taylor]: Taking taylor expansion of PI in a 15.599 * [backup-simplify]: Simplify PI into PI 15.599 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 15.599 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 15.599 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.599 * [taylor]: Taking taylor expansion of a in a 15.599 * [backup-simplify]: Simplify 0 into 0 15.599 * [backup-simplify]: Simplify 1 into 1 15.599 * [backup-simplify]: Simplify (/ 1 1) into 1 15.599 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.599 * [taylor]: Taking taylor expansion of b in a 15.599 * [backup-simplify]: Simplify b into b 15.599 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.599 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 15.599 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.599 * [taylor]: Taking taylor expansion of a in a 15.599 * [backup-simplify]: Simplify 0 into 0 15.599 * [backup-simplify]: Simplify 1 into 1 15.600 * [backup-simplify]: Simplify (/ 1 1) into 1 15.600 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.600 * [taylor]: Taking taylor expansion of b in a 15.600 * [backup-simplify]: Simplify b into b 15.600 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.600 * [backup-simplify]: Simplify (* b PI) into (* PI b) 15.600 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 15.600 * [backup-simplify]: Simplify (* 0 PI) into 0 15.600 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.601 * [backup-simplify]: Simplify (- 0) into 0 15.601 * [backup-simplify]: Simplify (+ (* 1/2 (* PI b)) 0) into (* 1/2 (* PI b)) 15.601 * [backup-simplify]: Simplify (+ 1 0) into 1 15.601 * [backup-simplify]: Simplify (+ 1 0) into 1 15.601 * [backup-simplify]: Simplify (* 1 1) into 1 15.602 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 15.602 * [backup-simplify]: Simplify (* -1 (* 1/2 (* b PI))) into (* -1/2 (* PI b)) 15.602 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 15.602 * [taylor]: Taking taylor expansion of -1/2 in b 15.602 * [backup-simplify]: Simplify -1/2 into -1/2 15.602 * [taylor]: Taking taylor expansion of (* PI b) in b 15.602 * [taylor]: Taking taylor expansion of PI in b 15.602 * [backup-simplify]: Simplify PI into PI 15.602 * [taylor]: Taking taylor expansion of b in b 15.602 * [backup-simplify]: Simplify 0 into 0 15.602 * [backup-simplify]: Simplify 1 into 1 15.602 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 15.603 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 15.604 * [backup-simplify]: Simplify (* PI 0) into 0 15.604 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 15.604 * [backup-simplify]: Simplify 0 into 0 15.605 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 15.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 15.606 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.607 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 15.607 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 15.608 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) 15.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.609 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 15.609 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 15.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.610 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 15.610 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 15.611 * [backup-simplify]: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* b PI)) (/ 0 1)))) into (- (* 1/2 PI)) 15.612 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 PI))) (* 0 (* 1/2 (* b PI)))) into (* 1/2 PI) 15.612 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 15.612 * [taylor]: Taking taylor expansion of 1/2 in b 15.612 * [backup-simplify]: Simplify 1/2 into 1/2 15.612 * [taylor]: Taking taylor expansion of PI in b 15.612 * [backup-simplify]: Simplify PI into PI 15.613 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.613 * [backup-simplify]: Simplify 0 into 0 15.613 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.614 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 15.614 * [backup-simplify]: Simplify 0 into 0 15.615 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 15.615 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (* PI b)))) into 0 15.616 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 15.617 * [backup-simplify]: Simplify (- 0) into 0 15.617 * [backup-simplify]: Simplify (+ 0 0) into 0 15.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 15.618 * [backup-simplify]: Simplify (- 0) into 0 15.618 * [backup-simplify]: Simplify (+ 0 0) into 0 15.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 15.619 * [backup-simplify]: Simplify (+ 0 0) into 0 15.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 15.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 (* b PI)) (/ (- (/ 1 (pow b 2))) 1)) (* (- (* 1/2 PI)) (/ 0 1)))) into (* 1/2 (/ PI b)) 15.621 * [backup-simplify]: Simplify (+ (* -1 (* 1/2 (/ PI b))) (+ (* 0 (- (* 1/2 PI))) (* 0 (* 1/2 (* b PI))))) into (- (* 1/2 (/ PI b))) 15.621 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 15.621 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 15.621 * [taylor]: Taking taylor expansion of 1/2 in b 15.621 * [backup-simplify]: Simplify 1/2 into 1/2 15.621 * [taylor]: Taking taylor expansion of (/ PI b) in b 15.621 * [taylor]: Taking taylor expansion of PI in b 15.621 * [backup-simplify]: Simplify PI into PI 15.621 * [taylor]: Taking taylor expansion of b in b 15.621 * [backup-simplify]: Simplify 0 into 0 15.621 * [backup-simplify]: Simplify 1 into 1 15.622 * [backup-simplify]: Simplify (/ PI 1) into PI 15.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.625 * [backup-simplify]: Simplify (- 0) into 0 15.625 * [backup-simplify]: Simplify 0 into 0 15.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.626 * [backup-simplify]: Simplify 0 into 0 15.628 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.629 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 15.629 * [backup-simplify]: Simplify 0 into 0 15.629 * [backup-simplify]: Simplify 0 into 0 15.629 * * * [progress]: simplifying candidates 15.629 * * * * [progress]: [ 1 / 412 ] simplifiying candidate # 15.629 * * * * [progress]: [ 2 / 412 ] simplifiying candidate # 15.630 * * * * [progress]: [ 3 / 412 ] simplifiying candidate # 15.630 * * * * [progress]: [ 4 / 412 ] simplifiying candidate # 15.630 * * * * [progress]: [ 5 / 412 ] simplifiying candidate # 15.630 * * * * [progress]: [ 6 / 412 ] simplifiying candidate # 15.630 * * * * [progress]: [ 7 / 412 ] simplifiying candidate # 15.630 * * * * [progress]: [ 8 / 412 ] simplifiying candidate # 15.630 * * * * [progress]: [ 9 / 412 ] simplifiying candidate # 15.630 * * * * [progress]: [ 10 / 412 ] simplifiying candidate # 15.630 * * * * [progress]: [ 11 / 412 ] simplifiying candidate # 15.630 * * * * [progress]: [ 12 / 412 ] simplifiying candidate # 15.630 * * * * [progress]: [ 13 / 412 ] simplifiying candidate # 15.630 * * * * [progress]: [ 14 / 412 ] simplifiying candidate # 15.630 * * * * [progress]: [ 15 / 412 ] simplifiying candidate # 15.630 * * * * [progress]: [ 16 / 412 ] simplifiying candidate # 15.630 * * * * [progress]: [ 17 / 412 ] simplifiying candidate # 15.631 * * * * [progress]: [ 18 / 412 ] simplifiying candidate # 15.631 * * * * [progress]: [ 19 / 412 ] simplifiying candidate # 15.631 * * * * [progress]: [ 20 / 412 ] simplifiying candidate # 15.631 * * * * [progress]: [ 21 / 412 ] simplifiying candidate # 15.631 * * * * [progress]: [ 22 / 412 ] simplifiying candidate #real (real->posit16 (/ PI (* 2 a)))) (/ PI (* 2 b))) (- b a)) (+ a b)))> 15.631 * * * * [progress]: [ 23 / 412 ] simplifiying candidate # 15.631 * * * * [progress]: [ 24 / 412 ] simplifiying candidate # 15.631 * * * * [progress]: [ 25 / 412 ] simplifiying candidate # 15.631 * * * * [progress]: [ 26 / 412 ] simplifiying candidate # 15.631 * * * * [progress]: [ 27 / 412 ] simplifiying candidate # 15.631 * * * * [progress]: [ 28 / 412 ] simplifiying candidate # 15.631 * * * * [progress]: [ 29 / 412 ] simplifiying candidate # 15.631 * * * * [progress]: [ 30 / 412 ] simplifiying candidate # 15.631 * * * * [progress]: [ 31 / 412 ] simplifiying candidate # 15.632 * * * * [progress]: [ 32 / 412 ] simplifiying candidate # 15.632 * * * * [progress]: [ 33 / 412 ] simplifiying candidate # 15.632 * * * * [progress]: [ 34 / 412 ] simplifiying candidate # 15.632 * * * * [progress]: [ 35 / 412 ] simplifiying candidate # 15.632 * * * * [progress]: [ 36 / 412 ] simplifiying candidate # 15.632 * * * * [progress]: [ 37 / 412 ] simplifiying candidate # 15.632 * * * * [progress]: [ 38 / 412 ] simplifiying candidate # 15.632 * * * * [progress]: [ 39 / 412 ] simplifiying candidate # 15.632 * * * * [progress]: [ 40 / 412 ] simplifiying candidate # 15.632 * * * * [progress]: [ 41 / 412 ] simplifiying candidate # 15.632 * * * * [progress]: [ 42 / 412 ] simplifiying candidate # 15.632 * * * * [progress]: [ 43 / 412 ] simplifiying candidate # 15.632 * * * * [progress]: [ 44 / 412 ] simplifiying candidate #real (real->posit16 (/ PI (* 2 b))))) (- b a)) (+ a b)))> 15.632 * * * * [progress]: [ 45 / 412 ] simplifiying candidate # 15.632 * * * * [progress]: [ 46 / 412 ] simplifiying candidate # 15.633 * * * * [progress]: [ 47 / 412 ] simplifiying candidate # 15.633 * * * * [progress]: [ 48 / 412 ] simplifiying candidate # 15.633 * * * * [progress]: [ 49 / 412 ] simplifiying candidate # 15.633 * * * * [progress]: [ 50 / 412 ] simplifiying candidate # 15.633 * * * * [progress]: [ 51 / 412 ] simplifiying candidate # 15.633 * * * * [progress]: [ 52 / 412 ] simplifiying candidate # 15.633 * * * * [progress]: [ 53 / 412 ] simplifiying candidate # 15.633 * * * * [progress]: [ 54 / 412 ] simplifiying candidate # 15.633 * * * * [progress]: [ 55 / 412 ] simplifiying candidate # 15.633 * * * * [progress]: [ 56 / 412 ] simplifiying candidate # 15.633 * * * * [progress]: [ 57 / 412 ] simplifiying candidate # 15.633 * * * * [progress]: [ 58 / 412 ] simplifiying candidate # 15.633 * * * * [progress]: [ 59 / 412 ] simplifiying candidate # 15.633 * * * * [progress]: [ 60 / 412 ] simplifiying candidate # 15.634 * * * * [progress]: [ 61 / 412 ] simplifiying candidate # 15.634 * * * * [progress]: [ 62 / 412 ] simplifiying candidate # 15.634 * * * * [progress]: [ 63 / 412 ] simplifiying candidate # 15.634 * * * * [progress]: [ 64 / 412 ] simplifiying candidate # 15.634 * * * * [progress]: [ 65 / 412 ] simplifiying candidate # 15.634 * * * * [progress]: [ 66 / 412 ] simplifiying candidate # 15.634 * * * * [progress]: [ 67 / 412 ] simplifiying candidate # 15.634 * * * * [progress]: [ 68 / 412 ] simplifiying candidate # 15.634 * * * * [progress]: [ 69 / 412 ] simplifiying candidate # 15.634 * * * * [progress]: [ 70 / 412 ] simplifiying candidate # 15.634 * * * * [progress]: [ 71 / 412 ] simplifiying candidate # 15.634 * * * * [progress]: [ 72 / 412 ] simplifiying candidate # 15.634 * * * * [progress]: [ 73 / 412 ] simplifiying candidate # 15.634 * * * * [progress]: [ 74 / 412 ] simplifiying candidate # 15.635 * * * * [progress]: [ 75 / 412 ] simplifiying candidate # 15.635 * * * * [progress]: [ 76 / 412 ] 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* * [progress]: [ 405 / 412 ] simplifiying candidate # 15.659 * * * * [progress]: [ 406 / 412 ] simplifiying candidate # 15.659 * * * * [progress]: [ 407 / 412 ] simplifiying candidate # 15.659 * * * * [progress]: [ 408 / 412 ] simplifiying candidate # 15.659 * * * * [progress]: [ 409 / 412 ] simplifiying candidate # 15.659 * * * * [progress]: [ 410 / 412 ] simplifiying candidate # 15.659 * * * * [progress]: [ 411 / 412 ] simplifiying candidate # 15.659 * * * * [progress]: [ 412 / 412 ] simplifiying candidate # 15.669 * [simplify]: Simplifying: (- (log PI) (+ (log 2) (log a))) (- (log PI) (log (* 2 a))) (log (/ PI (* 2 a))) (exp (/ PI (* 2 a))) (/ (* (* PI PI) PI) (* (* (* 2 2) 2) (* (* a a) a))) (/ (* (* PI PI) PI) (* (* (* 2 a) (* 2 a)) (* 2 a))) (* (cbrt (/ PI (* 2 a))) (cbrt (/ PI (* 2 a)))) (cbrt (/ PI (* 2 a))) (* (* (/ PI (* 2 a)) (/ PI (* 2 a))) (/ PI (* 2 a))) (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 a))) (- PI) (- (* 2 a)) (/ (* (cbrt PI) (cbrt PI)) 2) (/ (cbrt PI) a) (/ (sqrt 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(- b a))) (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b)) (sqrt (- b a))) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (- b a) (cbrt (+ a b)))) (/ 1 (sqrt (+ a b))) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (- b a) (sqrt (+ a b)))) 1 (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a)) (+ a b)) 1 (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a)) (+ a b)) (/ (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (+ (sqrt b) (sqrt a))) (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (cbrt (+ a b))) (- (sqrt b) (sqrt a))) (/ (/ 1 (+ (sqrt b) (sqrt a))) (sqrt (+ a b))) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (- (sqrt b) (sqrt a)) (sqrt (+ a b)))) (/ 1 (+ (sqrt b) (sqrt a))) (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b)) (- (sqrt b) (sqrt a))) (/ 1 (+ (sqrt b) (sqrt a))) (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (+ a b)) (- (sqrt b) (sqrt a))) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (- b a) (cbrt (+ a b)))) (/ 1 (sqrt (+ a b))) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (- b a) (sqrt (+ a b)))) 1 (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a)) (+ a b)) 1 (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a)) (+ a b)) (/ PI (* (* (cbrt (+ a b)) (cbrt (- b a))) (* (cbrt (+ a b)) (cbrt (- b a))))) (/ (- (/ 1/2 a) (/ 1/2 b)) (* (cbrt (+ a b)) (cbrt (- b a)))) (/ PI (* (sqrt (+ a b)) (* (cbrt (- b a)) (cbrt (- b a))))) (/ (/ (- (/ 1/2 a) (/ 1/2 b)) (cbrt (- b a))) (sqrt (+ a b))) (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (- (/ 1/2 a) (/ 1/2 b)) (cbrt (- b a))) (+ a b)) (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (- (/ 1/2 a) (/ 1/2 b)) (cbrt (- b a))) (+ a b)) (/ (/ PI (sqrt (- b a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (- (/ 1/2 a) (/ 1/2 b)) (cbrt (+ a b))) (sqrt (- b a))) (/ (/ PI (sqrt (+ a b))) (sqrt (- b a))) (/ (- (/ 1/2 a) (/ 1/2 b)) (* (sqrt (+ a b)) (sqrt (- b a)))) (/ PI (sqrt (- b a))) (/ (- (/ 1/2 a) (/ 1/2 b)) (* (sqrt (- b a)) (+ a b))) (/ PI (sqrt (- b a))) (/ (- (/ 1/2 a) (/ 1/2 b)) (* (sqrt (- b a)) (+ a b))) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (- (/ 1/2 a) (/ 1/2 b)) (* (- b a) (cbrt (+ a b)))) (/ PI (sqrt (+ a b))) (/ (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) (sqrt (+ a b))) PI (/ (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) (+ a b)) PI (/ (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) (+ a b)) (/ (/ PI (* (cbrt (+ a b)) (+ (sqrt b) (sqrt a)))) (cbrt (+ a b))) (/ (- (/ 1/2 a) (/ 1/2 b)) (* (- (sqrt b) (sqrt a)) (cbrt (+ a b)))) (/ (/ PI (sqrt (+ a b))) (+ (sqrt b) (sqrt a))) (/ (- (/ 1/2 a) (/ 1/2 b)) (* (- (sqrt b) (sqrt a)) (sqrt (+ a b)))) (/ PI (+ (sqrt b) (sqrt a))) (/ (/ (- (/ 1/2 a) (/ 1/2 b)) (- (sqrt b) (sqrt a))) (+ a b)) (/ PI (+ (sqrt b) (sqrt a))) (/ (/ (- (/ 1/2 a) (/ 1/2 b)) (- (sqrt b) (sqrt a))) (+ a b)) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (- (/ 1/2 a) (/ 1/2 b)) (* (- b a) (cbrt (+ a b)))) (/ PI (sqrt (+ a b))) (/ (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) (sqrt (+ a b))) PI (/ (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) (+ a b)) PI (/ (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (- b a) (cbrt (+ a b)))) (/ 1 (sqrt (+ a b))) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (- b a) (sqrt (+ a b)))) 1 (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a)) (+ a b)) 1 (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a)) (+ a b)) (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ 1 (cbrt (+ a b))) (- b a)) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (sqrt (+ a b))) (/ (/ 1 (- b a)) (sqrt (+ a b))) (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (/ 1 (- (* b b) (* a a))) (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (/ 1 (- (* b b) (* a a))) (/ (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (cbrt (+ a b))) (cbrt (+ a b))) (- (* (* b b) b) (* a (* a a)))) (/ (+ (* (+ a b) a) (* b b)) (cbrt (+ a b))) (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- (* (* b b) b) (* a (* a a)))) (sqrt (+ a b))) (/ (+ (* (+ a b) a) (* b b)) (sqrt (+ a b))) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- (* (* b b) b) (* a (* a a)))) (/ (+ (* (+ a b) a) (* b b)) (+ a b)) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- (* (* b b) b) (* a (* a a)))) (/ (+ (* (+ a b) a) (* b b)) (+ a b)) (/ (/ (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a)) (+ a b)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (+ a b) (cbrt (+ a b))) (/ (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a)) (+ a b)) (sqrt (+ a b))) (/ (+ a b) (sqrt (+ a b))) (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a)) (+ a b)) (/ (+ a b) (+ a b)) (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a)) (+ a b)) (/ (+ a b) (+ a b)) (/ 1 (+ a b)) (/ (+ a b) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a))) (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (- b a) (cbrt (+ a b)))) (cbrt (+ a b))) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (- b a) (sqrt (+ a b)))) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a)) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a)) (/ (+ a b) (cbrt (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a)))) (/ (+ a b) (sqrt (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a)))) (* (/ (+ a b) (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (cbrt (- b a))) (/ (+ a b) (/ (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))) (sqrt (- b a)))) (/ (- (* b b) (* a a)) (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (/ (* (- (sqrt b) (sqrt a)) (+ a b)) (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (/ (- (* b b) (* a a)) (cbrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (/ (* (+ a b) (cbrt (- b a))) (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (/ (* (+ a b) (sqrt (- b a))) (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (/ (- (* b b) (* a a)) (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (* (- (sqrt b) (sqrt a)) (/ (+ a b) (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b))))) (/ (- (* b b) (* a a)) (sqrt (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (* (cbrt (- b a)) (/ (+ a b) (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (* (sqrt (- b a)) (/ (+ a b) (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (/ (+ a b) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a))) (/ (+ a b) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- (sqrt b) (sqrt a)))) (/ (+ a b) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a))) (* (cbrt (- b a)) (/ (+ a b) (- (sqrt (/ (/ PI 2) a)) (sqrt (/ (/ PI 2) b))))) (/ (* (+ a b) (sqrt (- b a))) (- (sqrt (/ (/ PI 2) a)) (sqrt (/ (/ PI 2) b)))) (/ (+ a b) (/ (- (sqrt (/ (/ PI 2) a)) (sqrt (/ (/ PI 2) b))) (- b a))) (/ (+ a b) (/ (- (sqrt (/ (/ PI 2) a)) (sqrt (/ (/ PI 2) b))) (- (sqrt b) (sqrt a)))) (/ (+ a b) (/ (- (sqrt (/ (/ PI 2) a)) (sqrt (/ (/ PI 2) b))) (- b a))) (/ (+ a b) (/ (- (/ (cbrt PI) a) (/ (cbrt PI) b)) (cbrt (- b a)))) (/ (+ a b) (/ (- (/ (cbrt PI) a) (/ (cbrt PI) b)) (sqrt (- b a)))) (* (/ (+ a b) (- (/ (cbrt PI) a) (/ (cbrt PI) b))) (- b a)) (* (/ (+ a b) (- (/ (cbrt PI) a) (/ (cbrt PI) b))) (- (sqrt b) (sqrt a))) (* (/ (+ a b) (- (/ (cbrt PI) a) (/ (cbrt PI) b))) (- b a)) (/ (* (+ a b) (cbrt (- b a))) (- (/ (sqrt PI) a) (/ (sqrt PI) b))) (/ (+ a b) (/ (- (/ (sqrt PI) a) (/ (sqrt PI) b)) (sqrt (- b a)))) (/ (- (* b b) (* a a)) (- (/ (sqrt PI) a) (/ (sqrt PI) b))) (* (- (sqrt b) (sqrt a)) (/ (+ a b) (- (/ (sqrt PI) a) (/ (sqrt PI) b)))) (/ (- (* b b) (* a a)) (- (/ (sqrt PI) a) (/ (sqrt PI) b))) (/ (* (+ a b) (cbrt (- b a))) (- (/ PI a) (/ PI b))) (* (sqrt (- b a)) (/ (+ a b) (- (/ PI a) (/ PI b)))) (* (/ (+ a b) (- (/ PI a) (/ PI b))) (- b a)) (* (- (sqrt b) (sqrt a)) (/ (+ a b) (- (/ PI a) (/ PI b)))) (* (/ (+ a b) (- (/ PI a) (/ PI b))) (- b a)) (* (cbrt (- b a)) (/ (+ a b) (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (* (sqrt (- b a)) (/ (+ a b) (- (/ (/ PI 2) a) (/ (/ PI 2) b)))) (/ (+ a b) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a))) (/ (+ a b) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- (sqrt b) (sqrt a)))) (/ (+ a b) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a))) (* (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- b a))) (* (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))) (sqrt (- b a))) (/ (- (* b b) (* a a)) (- (/ 1/2 a) (/ 1/2 b))) (* (/ (+ a b) (- (/ 1/2 a) (/ 1/2 b))) (- (sqrt b) (sqrt a))) (/ (- (* b b) (* a a)) (- (/ 1/2 a) (/ 1/2 b))) (/ (+ a b) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a))) (- (* b b) (* a a)) (/ (+ a b) (+ (* (+ a b) a) (* b b))) (/ (+ a b) (+ a b)) (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (* (- b a) (+ (* a (* a a)) (* (* b b) b)))) (/ (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a)) (+ a b)) (- a b)) (- (* b b) (* a a)) (real->posit16 (/ (/ (- (/ (/ PI 2) a) (/ (/ PI 2) b)) (- b a)) (+ a b))) (/ (* PI 1/2) a) (/ (* PI 1/2) a) (/ (* PI 1/2) a) (* 1/2 (/ PI b)) (* 1/2 (/ PI b)) (* 1/2 (/ PI b)) (* (/ 1/2 b) (/ PI a)) (* (/ 1/2 b) (/ PI a)) (* (/ 1/2 b) (/ PI a)) 0 0 0 17.086 * * * [progress]: adding candidates to table 21.440 * * [progress]: iteration 4 / 4 21.441 * * * [progress]: picking best candidate 21.477 * * * * [pick]: Picked # 21.477 * * * [progress]: localizing error 21.505 * * * [progress]: generating rewritten candidates 21.505 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 21.511 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 21.535 * * * [progress]: generating series expansions 21.535 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 21.535 * [backup-simplify]: Simplify (/ PI (* a b)) into (/ PI (* a b)) 21.535 * [approximate]: Taking taylor expansion of (/ PI (* a b)) in (a b) around 0 21.535 * [taylor]: Taking taylor expansion of (/ PI (* a b)) in b 21.535 * [taylor]: Taking taylor expansion of PI in b 21.535 * [backup-simplify]: Simplify PI into PI 21.535 * [taylor]: Taking taylor expansion of (* a b) in b 21.535 * [taylor]: Taking taylor expansion of a in b 21.536 * [backup-simplify]: Simplify a into a 21.536 * [taylor]: Taking taylor expansion of b in b 21.536 * [backup-simplify]: Simplify 0 into 0 21.536 * [backup-simplify]: Simplify 1 into 1 21.536 * [backup-simplify]: Simplify (* a 0) into 0 21.536 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 21.536 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 21.536 * [taylor]: Taking taylor expansion of (/ PI (* a b)) in a 21.537 * [taylor]: Taking taylor expansion of PI in a 21.537 * [backup-simplify]: Simplify PI into PI 21.537 * [taylor]: Taking taylor expansion of (* a b) in a 21.537 * [taylor]: Taking taylor expansion of a in a 21.537 * [backup-simplify]: Simplify 0 into 0 21.537 * [backup-simplify]: Simplify 1 into 1 21.537 * [taylor]: Taking taylor expansion of b in a 21.537 * [backup-simplify]: Simplify b into b 21.537 * [backup-simplify]: Simplify (* 0 b) into 0 21.537 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 21.537 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 21.537 * [taylor]: Taking taylor expansion of (/ PI (* a b)) in a 21.537 * [taylor]: Taking taylor expansion of PI in a 21.537 * [backup-simplify]: Simplify PI into PI 21.537 * [taylor]: Taking taylor expansion of (* a b) in a 21.537 * [taylor]: Taking taylor expansion of a in a 21.537 * [backup-simplify]: Simplify 0 into 0 21.537 * [backup-simplify]: Simplify 1 into 1 21.537 * [taylor]: Taking taylor expansion of b in a 21.537 * [backup-simplify]: Simplify b into b 21.537 * [backup-simplify]: Simplify (* 0 b) into 0 21.538 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 21.538 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 21.538 * [taylor]: Taking taylor expansion of (/ PI b) in b 21.538 * [taylor]: Taking taylor expansion of PI in b 21.538 * [backup-simplify]: Simplify PI into PI 21.538 * [taylor]: Taking taylor expansion of b in b 21.538 * [backup-simplify]: Simplify 0 into 0 21.538 * [backup-simplify]: Simplify 1 into 1 21.539 * [backup-simplify]: Simplify (/ PI 1) into PI 21.539 * [backup-simplify]: Simplify PI into PI 21.540 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 21.540 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 21.540 * [taylor]: Taking taylor expansion of 0 in b 21.540 * [backup-simplify]: Simplify 0 into 0 21.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.541 * [backup-simplify]: Simplify 0 into 0 21.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 21.542 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 21.542 * [taylor]: Taking taylor expansion of 0 in b 21.542 * [backup-simplify]: Simplify 0 into 0 21.542 * [backup-simplify]: Simplify 0 into 0 21.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.544 * [backup-simplify]: Simplify 0 into 0 21.545 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 21.545 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 21.545 * [taylor]: Taking taylor expansion of 0 in b 21.545 * [backup-simplify]: Simplify 0 into 0 21.545 * [backup-simplify]: Simplify 0 into 0 21.545 * [backup-simplify]: Simplify 0 into 0 21.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.547 * [backup-simplify]: Simplify 0 into 0 21.547 * [backup-simplify]: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) 21.547 * [backup-simplify]: Simplify (/ PI (* (/ 1 a) (/ 1 b))) into (* a (* b PI)) 21.547 * [approximate]: Taking taylor expansion of (* a (* b PI)) in (a b) around 0 21.547 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 21.547 * [taylor]: Taking taylor expansion of a in b 21.547 * [backup-simplify]: Simplify a into a 21.547 * [taylor]: Taking taylor expansion of (* b PI) in b 21.547 * [taylor]: Taking taylor expansion of b in b 21.547 * [backup-simplify]: Simplify 0 into 0 21.547 * [backup-simplify]: Simplify 1 into 1 21.547 * [taylor]: Taking taylor expansion of PI in b 21.547 * [backup-simplify]: Simplify PI into PI 21.547 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 21.547 * [taylor]: Taking taylor expansion of a in a 21.547 * [backup-simplify]: Simplify 0 into 0 21.547 * [backup-simplify]: Simplify 1 into 1 21.547 * [taylor]: Taking taylor expansion of (* b PI) in a 21.547 * [taylor]: Taking taylor expansion of b in a 21.547 * [backup-simplify]: Simplify b into b 21.547 * [taylor]: Taking taylor expansion of PI in a 21.547 * [backup-simplify]: Simplify PI into PI 21.547 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 21.547 * [taylor]: Taking taylor expansion of a in a 21.547 * [backup-simplify]: Simplify 0 into 0 21.547 * [backup-simplify]: Simplify 1 into 1 21.547 * [taylor]: Taking taylor expansion of (* b PI) in a 21.548 * [taylor]: Taking taylor expansion of b in a 21.548 * [backup-simplify]: Simplify b into b 21.548 * [taylor]: Taking taylor expansion of PI in a 21.548 * [backup-simplify]: Simplify PI into PI 21.548 * [backup-simplify]: Simplify (* b PI) into (* PI b) 21.548 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 21.548 * [taylor]: Taking taylor expansion of 0 in b 21.548 * [backup-simplify]: Simplify 0 into 0 21.548 * [backup-simplify]: Simplify 0 into 0 21.548 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 21.549 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 21.549 * [taylor]: Taking taylor expansion of (* b PI) in b 21.549 * [taylor]: Taking taylor expansion of b in b 21.549 * [backup-simplify]: Simplify 0 into 0 21.549 * [backup-simplify]: Simplify 1 into 1 21.549 * [taylor]: Taking taylor expansion of PI in b 21.549 * [backup-simplify]: Simplify PI into PI 21.549 * [backup-simplify]: Simplify (* 0 PI) into 0 21.549 * [backup-simplify]: Simplify 0 into 0 21.550 * [backup-simplify]: Simplify 0 into 0 21.550 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 21.551 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI b)))) into 0 21.551 * [taylor]: Taking taylor expansion of 0 in b 21.551 * [backup-simplify]: Simplify 0 into 0 21.551 * [backup-simplify]: Simplify 0 into 0 21.553 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 21.553 * [backup-simplify]: Simplify PI into PI 21.553 * [backup-simplify]: Simplify 0 into 0 21.554 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.555 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 21.555 * [taylor]: Taking taylor expansion of 0 in b 21.555 * [backup-simplify]: Simplify 0 into 0 21.555 * [backup-simplify]: Simplify 0 into 0 21.555 * [backup-simplify]: Simplify 0 into 0 21.556 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 21.556 * [backup-simplify]: Simplify 0 into 0 21.556 * [backup-simplify]: Simplify 0 into 0 21.557 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 21.559 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b)))))) into 0 21.559 * [taylor]: Taking taylor expansion of 0 in b 21.559 * [backup-simplify]: Simplify 0 into 0 21.559 * [backup-simplify]: Simplify 0 into 0 21.559 * [backup-simplify]: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) 21.559 * [backup-simplify]: Simplify (/ PI (* (/ 1 (- a)) (/ 1 (- b)))) into (* a (* b PI)) 21.559 * [approximate]: Taking taylor expansion of (* a (* b PI)) in (a b) around 0 21.559 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 21.559 * [taylor]: Taking taylor expansion of a in b 21.559 * [backup-simplify]: Simplify a into a 21.559 * [taylor]: Taking taylor expansion of (* b PI) in b 21.559 * [taylor]: Taking taylor expansion of b in b 21.559 * [backup-simplify]: Simplify 0 into 0 21.559 * [backup-simplify]: Simplify 1 into 1 21.559 * [taylor]: Taking taylor expansion of PI in b 21.559 * [backup-simplify]: Simplify PI into PI 21.559 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 21.559 * [taylor]: Taking taylor expansion of a in a 21.559 * [backup-simplify]: Simplify 0 into 0 21.559 * [backup-simplify]: Simplify 1 into 1 21.559 * [taylor]: Taking taylor expansion of (* b PI) in a 21.559 * [taylor]: Taking taylor expansion of b in a 21.559 * [backup-simplify]: Simplify b into b 21.559 * [taylor]: Taking taylor expansion of PI in a 21.559 * [backup-simplify]: Simplify PI into PI 21.559 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 21.559 * [taylor]: Taking taylor expansion of a in a 21.560 * [backup-simplify]: Simplify 0 into 0 21.560 * [backup-simplify]: Simplify 1 into 1 21.560 * [taylor]: Taking taylor expansion of (* b PI) in a 21.560 * [taylor]: Taking taylor expansion of b in a 21.560 * [backup-simplify]: Simplify b into b 21.560 * [taylor]: Taking taylor expansion of PI in a 21.560 * [backup-simplify]: Simplify PI into PI 21.560 * [backup-simplify]: Simplify (* b PI) into (* PI b) 21.560 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 21.560 * [taylor]: Taking taylor expansion of 0 in b 21.560 * [backup-simplify]: Simplify 0 into 0 21.560 * [backup-simplify]: Simplify 0 into 0 21.560 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 21.561 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 21.561 * [taylor]: Taking taylor expansion of (* b PI) in b 21.561 * [taylor]: Taking taylor expansion of b in b 21.561 * [backup-simplify]: Simplify 0 into 0 21.561 * [backup-simplify]: Simplify 1 into 1 21.561 * [taylor]: Taking taylor expansion of PI in b 21.561 * [backup-simplify]: Simplify PI into PI 21.562 * [backup-simplify]: Simplify (* 0 PI) into 0 21.562 * [backup-simplify]: Simplify 0 into 0 21.562 * [backup-simplify]: Simplify 0 into 0 21.562 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 21.563 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI b)))) into 0 21.563 * [taylor]: Taking taylor expansion of 0 in b 21.563 * [backup-simplify]: Simplify 0 into 0 21.563 * [backup-simplify]: Simplify 0 into 0 21.565 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 21.565 * [backup-simplify]: Simplify PI into PI 21.565 * [backup-simplify]: Simplify 0 into 0 21.566 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 21.567 * [taylor]: Taking taylor expansion of 0 in b 21.567 * [backup-simplify]: Simplify 0 into 0 21.567 * [backup-simplify]: Simplify 0 into 0 21.567 * [backup-simplify]: Simplify 0 into 0 21.568 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 21.568 * [backup-simplify]: Simplify 0 into 0 21.568 * [backup-simplify]: Simplify 0 into 0 21.568 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 21.569 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b)))))) into 0 21.569 * [taylor]: Taking taylor expansion of 0 in b 21.569 * [backup-simplify]: Simplify 0 into 0 21.569 * [backup-simplify]: Simplify 0 into 0 21.569 * [backup-simplify]: Simplify (* PI (* (/ 1 (- b)) (/ 1 (- a)))) into (/ PI (* a b)) 21.569 * * * * [progress]: [ 2 / 2 ] generating series at (2) 21.570 * [backup-simplify]: Simplify (/ (* 1/2 (/ PI (* a b))) (+ a b)) into (* 1/2 (/ PI (* a (* (+ a b) b)))) 21.570 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in (a b) around 0 21.570 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in b 21.570 * [taylor]: Taking taylor expansion of 1/2 in b 21.570 * [backup-simplify]: Simplify 1/2 into 1/2 21.570 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in b 21.570 * [taylor]: Taking taylor expansion of PI in b 21.570 * [backup-simplify]: Simplify PI into PI 21.570 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in b 21.570 * [taylor]: Taking taylor expansion of a in b 21.570 * [backup-simplify]: Simplify a into a 21.570 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 21.570 * [taylor]: Taking taylor expansion of (+ a b) in b 21.570 * [taylor]: Taking taylor expansion of a in b 21.570 * [backup-simplify]: Simplify a into a 21.570 * [taylor]: Taking taylor expansion of b in b 21.570 * [backup-simplify]: Simplify 0 into 0 21.570 * [backup-simplify]: Simplify 1 into 1 21.570 * [taylor]: Taking taylor expansion of b in b 21.570 * [backup-simplify]: Simplify 0 into 0 21.570 * [backup-simplify]: Simplify 1 into 1 21.570 * [backup-simplify]: Simplify (+ a 0) into a 21.570 * [backup-simplify]: Simplify (* a 0) into 0 21.570 * [backup-simplify]: Simplify (* a 0) into 0 21.570 * [backup-simplify]: Simplify (+ 0 1) into 1 21.571 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 21.571 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 21.571 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 21.571 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in a 21.571 * [taylor]: Taking taylor expansion of 1/2 in a 21.571 * [backup-simplify]: Simplify 1/2 into 1/2 21.571 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in a 21.571 * [taylor]: Taking taylor expansion of PI in a 21.571 * [backup-simplify]: Simplify PI into PI 21.571 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 21.571 * [taylor]: Taking taylor expansion of a in a 21.571 * [backup-simplify]: Simplify 0 into 0 21.571 * [backup-simplify]: Simplify 1 into 1 21.571 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 21.571 * [taylor]: Taking taylor expansion of (+ a b) in a 21.571 * [taylor]: Taking taylor expansion of a in a 21.571 * [backup-simplify]: Simplify 0 into 0 21.571 * [backup-simplify]: Simplify 1 into 1 21.571 * [taylor]: Taking taylor expansion of b in a 21.571 * [backup-simplify]: Simplify b into b 21.571 * [taylor]: Taking taylor expansion of b in a 21.571 * [backup-simplify]: Simplify b into b 21.571 * [backup-simplify]: Simplify (+ 0 b) into b 21.571 * [backup-simplify]: Simplify (* b b) into (pow b 2) 21.572 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 21.572 * [backup-simplify]: Simplify (+ 1 0) into 1 21.572 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 21.572 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 21.572 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 21.572 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in a 21.572 * [taylor]: Taking taylor expansion of 1/2 in a 21.572 * [backup-simplify]: Simplify 1/2 into 1/2 21.572 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in a 21.572 * [taylor]: Taking taylor expansion of PI in a 21.572 * [backup-simplify]: Simplify PI into PI 21.572 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 21.572 * [taylor]: Taking taylor expansion of a in a 21.572 * [backup-simplify]: Simplify 0 into 0 21.572 * [backup-simplify]: Simplify 1 into 1 21.572 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 21.572 * [taylor]: Taking taylor expansion of (+ a b) in a 21.572 * [taylor]: Taking taylor expansion of a in a 21.572 * [backup-simplify]: Simplify 0 into 0 21.572 * [backup-simplify]: Simplify 1 into 1 21.572 * [taylor]: Taking taylor expansion of b in a 21.572 * [backup-simplify]: Simplify b into b 21.572 * [taylor]: Taking taylor expansion of b in a 21.572 * [backup-simplify]: Simplify b into b 21.572 * [backup-simplify]: Simplify (+ 0 b) into b 21.572 * [backup-simplify]: Simplify (* b b) into (pow b 2) 21.572 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 21.573 * [backup-simplify]: Simplify (+ 1 0) into 1 21.573 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 21.573 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 21.573 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 21.573 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 21.573 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 21.573 * [taylor]: Taking taylor expansion of 1/2 in b 21.573 * [backup-simplify]: Simplify 1/2 into 1/2 21.573 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 21.573 * [taylor]: Taking taylor expansion of PI in b 21.573 * [backup-simplify]: Simplify PI into PI 21.573 * [taylor]: Taking taylor expansion of (pow b 2) in b 21.573 * [taylor]: Taking taylor expansion of b in b 21.573 * [backup-simplify]: Simplify 0 into 0 21.573 * [backup-simplify]: Simplify 1 into 1 21.573 * [backup-simplify]: Simplify (* 1 1) into 1 21.574 * [backup-simplify]: Simplify (/ PI 1) into PI 21.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 21.575 * [backup-simplify]: Simplify 0 into 0 21.575 * [backup-simplify]: Simplify (+ 0 0) into 0 21.576 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (* 0 b))) into 0 21.576 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 b) (* 0 (pow b 2)))) into b 21.576 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ b (pow b 2))))) into (- (/ PI (pow b 3))) 21.576 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 21.576 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 21.576 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 21.576 * [taylor]: Taking taylor expansion of 1/2 in b 21.576 * [backup-simplify]: Simplify 1/2 into 1/2 21.576 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 21.576 * [taylor]: Taking taylor expansion of PI in b 21.576 * [backup-simplify]: Simplify PI into PI 21.576 * [taylor]: Taking taylor expansion of (pow b 3) in b 21.576 * [taylor]: Taking taylor expansion of b in b 21.576 * [backup-simplify]: Simplify 0 into 0 21.576 * [backup-simplify]: Simplify 1 into 1 21.577 * [backup-simplify]: Simplify (* 1 1) into 1 21.577 * [backup-simplify]: Simplify (* 1 1) into 1 21.577 * [backup-simplify]: Simplify (/ PI 1) into PI 21.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 21.581 * [backup-simplify]: Simplify (- 0) into 0 21.581 * [backup-simplify]: Simplify 0 into 0 21.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 21.583 * [backup-simplify]: Simplify 0 into 0 21.583 * [backup-simplify]: Simplify (+ 0 0) into 0 21.584 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 21.584 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 b) (* 0 (pow b 2))))) into 0 21.584 * [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)) 21.585 * [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))) 21.585 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 21.585 * [taylor]: Taking taylor expansion of 1/2 in b 21.585 * [backup-simplify]: Simplify 1/2 into 1/2 21.585 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 21.585 * [taylor]: Taking taylor expansion of PI in b 21.585 * [backup-simplify]: Simplify PI into PI 21.585 * [taylor]: Taking taylor expansion of (pow b 4) in b 21.585 * [taylor]: Taking taylor expansion of b in b 21.585 * [backup-simplify]: Simplify 0 into 0 21.585 * [backup-simplify]: Simplify 1 into 1 21.585 * [backup-simplify]: Simplify (* 1 1) into 1 21.585 * [backup-simplify]: Simplify (* 1 1) into 1 21.586 * [backup-simplify]: Simplify (/ PI 1) into PI 21.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 21.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 21.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.592 * [backup-simplify]: Simplify 0 into 0 21.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.594 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.594 * [backup-simplify]: Simplify (- 0) into 0 21.594 * [backup-simplify]: Simplify 0 into 0 21.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 21.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.596 * [backup-simplify]: Simplify 0 into 0 21.596 * [backup-simplify]: Simplify 0 into 0 21.596 * [backup-simplify]: Simplify (/ (* 1/2 (/ PI (* (/ 1 a) (/ 1 b)))) (+ (/ 1 a) (/ 1 b))) into (* 1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) 21.596 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 21.596 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in b 21.597 * [taylor]: Taking taylor expansion of 1/2 in b 21.597 * [backup-simplify]: Simplify 1/2 into 1/2 21.597 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in b 21.597 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 21.597 * [taylor]: Taking taylor expansion of a in b 21.597 * [backup-simplify]: Simplify a into a 21.597 * [taylor]: Taking taylor expansion of (* b PI) in b 21.597 * [taylor]: Taking taylor expansion of b in b 21.597 * [backup-simplify]: Simplify 0 into 0 21.597 * [backup-simplify]: Simplify 1 into 1 21.597 * [taylor]: Taking taylor expansion of PI in b 21.597 * [backup-simplify]: Simplify PI into PI 21.597 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 21.597 * [taylor]: Taking taylor expansion of (/ 1 a) in b 21.597 * [taylor]: Taking taylor expansion of a in b 21.597 * [backup-simplify]: Simplify a into a 21.597 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 21.597 * [taylor]: Taking taylor expansion of (/ 1 b) in b 21.597 * [taylor]: Taking taylor expansion of b in b 21.597 * [backup-simplify]: Simplify 0 into 0 21.597 * [backup-simplify]: Simplify 1 into 1 21.597 * [backup-simplify]: Simplify (/ 1 1) into 1 21.597 * [backup-simplify]: Simplify (* 0 PI) into 0 21.597 * [backup-simplify]: Simplify (* a 0) into 0 21.598 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 21.599 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 21.599 * [backup-simplify]: Simplify (+ 0 1) into 1 21.599 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 21.599 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in a 21.599 * [taylor]: Taking taylor expansion of 1/2 in a 21.599 * [backup-simplify]: Simplify 1/2 into 1/2 21.599 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in a 21.599 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 21.599 * [taylor]: Taking taylor expansion of a in a 21.599 * [backup-simplify]: Simplify 0 into 0 21.599 * [backup-simplify]: Simplify 1 into 1 21.599 * [taylor]: Taking taylor expansion of (* b PI) in a 21.599 * [taylor]: Taking taylor expansion of b in a 21.599 * [backup-simplify]: Simplify b into b 21.599 * [taylor]: Taking taylor expansion of PI in a 21.599 * [backup-simplify]: Simplify PI into PI 21.599 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.599 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.599 * [taylor]: Taking taylor expansion of a in a 21.599 * [backup-simplify]: Simplify 0 into 0 21.599 * [backup-simplify]: Simplify 1 into 1 21.599 * [backup-simplify]: Simplify (/ 1 1) into 1 21.599 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.599 * [taylor]: Taking taylor expansion of b in a 21.599 * [backup-simplify]: Simplify b into b 21.600 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.600 * [backup-simplify]: Simplify (* b PI) into (* PI b) 21.600 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 21.600 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 21.600 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 21.600 * [backup-simplify]: Simplify (+ 1 0) into 1 21.600 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 21.601 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in a 21.601 * [taylor]: Taking taylor expansion of 1/2 in a 21.601 * [backup-simplify]: Simplify 1/2 into 1/2 21.601 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in a 21.601 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 21.601 * [taylor]: Taking taylor expansion of a in a 21.601 * [backup-simplify]: Simplify 0 into 0 21.601 * [backup-simplify]: Simplify 1 into 1 21.601 * [taylor]: Taking taylor expansion of (* b PI) in a 21.601 * [taylor]: Taking taylor expansion of b in a 21.601 * [backup-simplify]: Simplify b into b 21.601 * [taylor]: Taking taylor expansion of PI in a 21.601 * [backup-simplify]: Simplify PI into PI 21.601 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.601 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.601 * [taylor]: Taking taylor expansion of a in a 21.601 * [backup-simplify]: Simplify 0 into 0 21.601 * [backup-simplify]: Simplify 1 into 1 21.601 * [backup-simplify]: Simplify (/ 1 1) into 1 21.601 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.601 * [taylor]: Taking taylor expansion of b in a 21.601 * [backup-simplify]: Simplify b into b 21.601 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.601 * [backup-simplify]: Simplify (* b PI) into (* PI b) 21.601 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 21.602 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 21.602 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 21.602 * [backup-simplify]: Simplify (+ 1 0) into 1 21.602 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 21.602 * [backup-simplify]: Simplify (* 1/2 (* b PI)) into (* 1/2 (* b PI)) 21.602 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 21.602 * [taylor]: Taking taylor expansion of 1/2 in b 21.602 * [backup-simplify]: Simplify 1/2 into 1/2 21.602 * [taylor]: Taking taylor expansion of (* b PI) in b 21.602 * [taylor]: Taking taylor expansion of b in b 21.602 * [backup-simplify]: Simplify 0 into 0 21.602 * [backup-simplify]: Simplify 1 into 1 21.602 * [taylor]: Taking taylor expansion of PI in b 21.603 * [backup-simplify]: Simplify PI into PI 21.603 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 21.605 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 21.605 * [backup-simplify]: Simplify (* 0 PI) into 0 21.606 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 21.606 * [backup-simplify]: Simplify 0 into 0 21.607 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 21.607 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI b)))) into 0 21.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.608 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 21.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b PI) (/ (/ 1 b) 1)))) into (- PI) 21.610 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* b PI))) into (- (* 1/2 PI)) 21.610 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 21.610 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 21.610 * [taylor]: Taking taylor expansion of 1/2 in b 21.610 * [backup-simplify]: Simplify 1/2 into 1/2 21.610 * [taylor]: Taking taylor expansion of PI in b 21.610 * [backup-simplify]: Simplify PI into PI 21.611 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 21.611 * [backup-simplify]: Simplify (- 0) into 0 21.611 * [backup-simplify]: Simplify 0 into 0 21.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 21.613 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 21.613 * [backup-simplify]: Simplify 0 into 0 21.614 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 21.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 21.616 * [backup-simplify]: Simplify (+ 0 0) into 0 21.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b PI) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 21.617 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* b PI)))) into (* 1/2 (/ PI b)) 21.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 21.617 * [taylor]: Taking taylor expansion of 1/2 in b 21.618 * [backup-simplify]: Simplify 1/2 into 1/2 21.618 * [taylor]: Taking taylor expansion of (/ PI b) in b 21.618 * [taylor]: Taking taylor expansion of PI in b 21.618 * [backup-simplify]: Simplify PI into PI 21.618 * [taylor]: Taking taylor expansion of b in b 21.618 * [backup-simplify]: Simplify 0 into 0 21.618 * [backup-simplify]: Simplify 1 into 1 21.618 * [backup-simplify]: Simplify (/ PI 1) into PI 21.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.620 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.620 * [backup-simplify]: Simplify 0 into 0 21.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.621 * [backup-simplify]: Simplify (- 0) into 0 21.621 * [backup-simplify]: Simplify 0 into 0 21.622 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 21.623 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 21.623 * [backup-simplify]: Simplify 0 into 0 21.623 * [backup-simplify]: Simplify 0 into 0 21.623 * [backup-simplify]: Simplify (/ (* 1/2 (/ PI (* (/ 1 (- a)) (/ 1 (- b))))) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) 21.623 * [approximate]: Taking taylor expansion of (* -1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 21.623 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in b 21.623 * [taylor]: Taking taylor expansion of -1/2 in b 21.623 * [backup-simplify]: Simplify -1/2 into -1/2 21.623 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in b 21.623 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 21.623 * [taylor]: Taking taylor expansion of a in b 21.623 * [backup-simplify]: Simplify a into a 21.623 * [taylor]: Taking taylor expansion of (* b PI) in b 21.623 * [taylor]: Taking taylor expansion of b in b 21.623 * [backup-simplify]: Simplify 0 into 0 21.623 * [backup-simplify]: Simplify 1 into 1 21.623 * [taylor]: Taking taylor expansion of PI in b 21.623 * [backup-simplify]: Simplify PI into PI 21.623 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 21.623 * [taylor]: Taking taylor expansion of (/ 1 a) in b 21.623 * [taylor]: Taking taylor expansion of a in b 21.623 * [backup-simplify]: Simplify a into a 21.623 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 21.623 * [taylor]: Taking taylor expansion of (/ 1 b) in b 21.623 * [taylor]: Taking taylor expansion of b in b 21.623 * [backup-simplify]: Simplify 0 into 0 21.623 * [backup-simplify]: Simplify 1 into 1 21.624 * [backup-simplify]: Simplify (/ 1 1) into 1 21.624 * [backup-simplify]: Simplify (* 0 PI) into 0 21.624 * [backup-simplify]: Simplify (* a 0) into 0 21.625 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 21.625 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 21.625 * [backup-simplify]: Simplify (+ 0 1) into 1 21.625 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 21.625 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in a 21.625 * [taylor]: Taking taylor expansion of -1/2 in a 21.625 * [backup-simplify]: Simplify -1/2 into -1/2 21.626 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in a 21.626 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 21.626 * [taylor]: Taking taylor expansion of a in a 21.626 * [backup-simplify]: Simplify 0 into 0 21.626 * [backup-simplify]: Simplify 1 into 1 21.626 * [taylor]: Taking taylor expansion of (* b PI) in a 21.626 * [taylor]: Taking taylor expansion of b in a 21.626 * [backup-simplify]: Simplify b into b 21.626 * [taylor]: Taking taylor expansion of PI in a 21.626 * [backup-simplify]: Simplify PI into PI 21.626 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.626 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.626 * [taylor]: Taking taylor expansion of a in a 21.626 * [backup-simplify]: Simplify 0 into 0 21.626 * [backup-simplify]: Simplify 1 into 1 21.626 * [backup-simplify]: Simplify (/ 1 1) into 1 21.626 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.626 * [taylor]: Taking taylor expansion of b in a 21.626 * [backup-simplify]: Simplify b into b 21.626 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.626 * [backup-simplify]: Simplify (* b PI) into (* PI b) 21.626 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 21.626 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 21.627 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 21.627 * [backup-simplify]: Simplify (+ 1 0) into 1 21.627 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 21.627 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in a 21.627 * [taylor]: Taking taylor expansion of -1/2 in a 21.627 * [backup-simplify]: Simplify -1/2 into -1/2 21.627 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in a 21.627 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 21.627 * [taylor]: Taking taylor expansion of a in a 21.627 * [backup-simplify]: Simplify 0 into 0 21.627 * [backup-simplify]: Simplify 1 into 1 21.627 * [taylor]: Taking taylor expansion of (* b PI) in a 21.627 * [taylor]: Taking taylor expansion of b in a 21.627 * [backup-simplify]: Simplify b into b 21.627 * [taylor]: Taking taylor expansion of PI in a 21.627 * [backup-simplify]: Simplify PI into PI 21.627 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 21.627 * [taylor]: Taking taylor expansion of (/ 1 a) in a 21.627 * [taylor]: Taking taylor expansion of a in a 21.627 * [backup-simplify]: Simplify 0 into 0 21.627 * [backup-simplify]: Simplify 1 into 1 21.628 * [backup-simplify]: Simplify (/ 1 1) into 1 21.628 * [taylor]: Taking taylor expansion of (/ 1 b) in a 21.628 * [taylor]: Taking taylor expansion of b in a 21.628 * [backup-simplify]: Simplify b into b 21.628 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 21.628 * [backup-simplify]: Simplify (* b PI) into (* PI b) 21.628 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 21.632 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 21.632 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 21.633 * [backup-simplify]: Simplify (+ 1 0) into 1 21.633 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 21.633 * [backup-simplify]: Simplify (* -1/2 (* b PI)) into (* -1/2 (* b PI)) 21.633 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 21.633 * [taylor]: Taking taylor expansion of -1/2 in b 21.633 * [backup-simplify]: Simplify -1/2 into -1/2 21.633 * [taylor]: Taking taylor expansion of (* b PI) in b 21.633 * [taylor]: Taking taylor expansion of b in b 21.633 * [backup-simplify]: Simplify 0 into 0 21.633 * [backup-simplify]: Simplify 1 into 1 21.633 * [taylor]: Taking taylor expansion of PI in b 21.633 * [backup-simplify]: Simplify PI into PI 21.634 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 21.635 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 21.635 * [backup-simplify]: Simplify (* 0 PI) into 0 21.635 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 21.635 * [backup-simplify]: Simplify 0 into 0 21.636 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 21.636 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI b)))) into 0 21.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 21.637 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 21.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b PI) (/ (/ 1 b) 1)))) into (- PI) 21.638 * [backup-simplify]: Simplify (+ (* -1/2 (- PI)) (* 0 (* b PI))) into (* 1/2 PI) 21.638 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 21.638 * [taylor]: Taking taylor expansion of 1/2 in b 21.638 * [backup-simplify]: Simplify 1/2 into 1/2 21.638 * [taylor]: Taking taylor expansion of PI in b 21.638 * [backup-simplify]: Simplify PI into PI 21.639 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 21.639 * [backup-simplify]: Simplify 0 into 0 21.639 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 21.640 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 21.640 * [backup-simplify]: Simplify 0 into 0 21.640 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.641 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 21.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 21.642 * [backup-simplify]: Simplify (+ 0 0) into 0 21.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b PI) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 21.643 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* b PI)))) into (- (* 1/2 (/ PI b))) 21.643 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 21.643 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 21.643 * [taylor]: Taking taylor expansion of 1/2 in b 21.643 * [backup-simplify]: Simplify 1/2 into 1/2 21.643 * [taylor]: Taking taylor expansion of (/ PI b) in b 21.643 * [taylor]: Taking taylor expansion of PI in b 21.643 * [backup-simplify]: Simplify PI into PI 21.643 * [taylor]: Taking taylor expansion of b in b 21.643 * [backup-simplify]: Simplify 0 into 0 21.643 * [backup-simplify]: Simplify 1 into 1 21.644 * [backup-simplify]: Simplify (/ PI 1) into PI 21.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 21.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 21.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.646 * [backup-simplify]: Simplify (- 0) into 0 21.646 * [backup-simplify]: Simplify 0 into 0 21.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 21.647 * [backup-simplify]: Simplify 0 into 0 21.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 21.650 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 21.650 * [backup-simplify]: Simplify 0 into 0 21.650 * [backup-simplify]: Simplify 0 into 0 21.650 * * * [progress]: simplifying candidates 21.650 * * * * [progress]: [ 1 / 59 ] simplifiying candidate # 21.651 * * * * [progress]: [ 2 / 59 ] simplifiying candidate # 21.651 * * * * [progress]: [ 3 / 59 ] simplifiying candidate # 21.651 * * * * [progress]: [ 4 / 59 ] simplifiying candidate # 21.651 * * * * [progress]: [ 5 / 59 ] simplifiying candidate # 21.651 * * * * [progress]: [ 6 / 59 ] simplifiying candidate # 21.651 * * * * [progress]: [ 7 / 59 ] simplifiying candidate # 21.651 * * * * [progress]: [ 8 / 59 ] simplifiying candidate # 21.651 * * * * [progress]: [ 9 / 59 ] simplifiying candidate # 21.651 * * * * [progress]: [ 10 / 59 ] simplifiying candidate # 21.651 * * * * [progress]: [ 11 / 59 ] simplifiying candidate # 21.651 * * * * [progress]: [ 12 / 59 ] simplifiying candidate # 21.652 * * * * [progress]: [ 13 / 59 ] simplifiying candidate # 21.652 * * * * [progress]: [ 14 / 59 ] simplifiying candidate # 21.652 * * * * [progress]: [ 15 / 59 ] simplifiying candidate # 21.652 * * * * [progress]: [ 16 / 59 ] simplifiying candidate # 21.652 * * * * [progress]: [ 17 / 59 ] simplifiying candidate # 21.652 * * * * [progress]: [ 18 / 59 ] simplifiying candidate # 21.652 * * * * [progress]: [ 19 / 59 ] simplifiying candidate # 21.652 * * * * [progress]: [ 20 / 59 ] simplifiying candidate # 21.652 * * * * [progress]: [ 21 / 59 ] simplifiying candidate # 21.652 * * * * [progress]: [ 22 / 59 ] simplifiying candidate #real (real->posit16 (/ PI (* a b))))) (+ a b)))> 21.652 * * * * [progress]: [ 23 / 59 ] simplifiying candidate # 21.652 * * * * [progress]: [ 24 / 59 ] simplifiying candidate # 21.652 * * * * [progress]: [ 25 / 59 ] simplifiying candidate # 21.652 * * * * [progress]: [ 26 / 59 ] simplifiying candidate # 21.653 * * * * [progress]: [ 27 / 59 ] simplifiying candidate # 21.653 * * * * [progress]: [ 28 / 59 ] simplifiying candidate # 21.653 * * * * [progress]: [ 29 / 59 ] simplifiying candidate # 21.653 * * * * [progress]: [ 30 / 59 ] simplifiying candidate # 21.653 * * * * [progress]: [ 31 / 59 ] simplifiying candidate # 21.653 * * * * [progress]: [ 32 / 59 ] simplifiying candidate # 21.653 * * * * [progress]: [ 33 / 59 ] simplifiying candidate # 21.653 * * * * [progress]: [ 34 / 59 ] simplifiying candidate # 21.653 * * * * [progress]: [ 35 / 59 ] simplifiying candidate # 21.653 * * * * [progress]: [ 36 / 59 ] simplifiying candidate # 21.653 * * * * [progress]: [ 37 / 59 ] simplifiying candidate # 21.653 * * * * [progress]: [ 38 / 59 ] simplifiying candidate # 21.653 * * * * [progress]: [ 39 / 59 ] simplifiying candidate # 21.653 * * * * [progress]: [ 40 / 59 ] simplifiying candidate # 21.654 * * * * [progress]: [ 41 / 59 ] simplifiying candidate # 21.654 * * * * [progress]: [ 42 / 59 ] simplifiying candidate # 21.654 * * * * [progress]: [ 43 / 59 ] simplifiying candidate # 21.654 * * * * [progress]: [ 44 / 59 ] simplifiying candidate # 21.654 * * * * [progress]: [ 45 / 59 ] simplifiying candidate # 21.654 * * * * [progress]: [ 46 / 59 ] simplifiying candidate # 21.654 * * * * [progress]: [ 47 / 59 ] simplifiying candidate # 21.654 * * * * [progress]: [ 48 / 59 ] simplifiying candidate # 21.654 * * * * [progress]: [ 49 / 59 ] simplifiying candidate # 21.654 * * * * [progress]: [ 50 / 59 ] simplifiying candidate # 21.654 * * * * [progress]: [ 51 / 59 ] simplifiying candidate # 21.654 * * * * [progress]: [ 52 / 59 ] simplifiying candidate # 21.654 * * * * [progress]: [ 53 / 59 ] simplifiying candidate #real (real->posit16 (/ (* 1/2 (/ PI (* a b))) (+ a b)))))> 21.654 * * * * [progress]: [ 54 / 59 ] simplifiying candidate # 21.654 * * * * [progress]: [ 55 / 59 ] simplifiying candidate # 21.654 * * * * [progress]: [ 56 / 59 ] simplifiying candidate # 21.654 * * * * [progress]: [ 57 / 59 ] simplifiying candidate # 21.654 * * * * [progress]: [ 58 / 59 ] simplifiying candidate # 21.655 * * * * [progress]: [ 59 / 59 ] simplifiying candidate # 21.656 * [simplify]: Simplifying: (- (log PI) (+ (log a) (log b))) (- (log PI) (log (* a b))) (log (/ PI (* a b))) (exp (/ PI (* a b))) (/ (* (* PI PI) PI) (* (* (* a a) a) (* (* b b) 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)) a) (/ (cbrt PI) b) (/ (sqrt PI) a) (/ (sqrt PI) b) (/ 1 a) (/ PI b) (/ 1 (* a b)) (/ (* a b) PI) (/ PI a) (/ (* a b) (cbrt PI)) (/ (* a b) (sqrt PI)) (/ (* a b) PI) (real->posit16 (/ PI (* a b))) (- (+ (log 1/2) (- (log PI) (+ (log a) (log b)))) (log (+ a b))) (- (+ (log 1/2) (- (log PI) (log (* a b)))) (log (+ a b))) (- (+ (log 1/2) (log (/ PI (* a b)))) (log (+ a b))) (- (log (* 1/2 (/ PI (* a b)))) (log (+ a b))) (log (/ (* 1/2 (/ PI (* a b))) (+ a b))) (exp (/ (* 1/2 (/ PI (* a b))) (+ a b))) (/ (* (* (* 1/2 1/2) 1/2) (/ (* (* PI PI) PI) (* (* (* a a) a) (* (* b b) b)))) (* (* (+ a b) (+ a b)) (+ a b))) (/ (* (* (* 1/2 1/2) 1/2) (/ (* (* PI PI) PI) (* (* (* a b) (* a b)) (* a b)))) (* (* (+ a b) (+ a b)) (+ a b))) (/ (* (* (* 1/2 1/2) 1/2) (* (* (/ PI (* a b)) (/ PI (* a b))) (/ PI (* a b)))) (* (* (+ a b) (+ a b)) (+ a b))) (/ (* (* (* 1/2 (/ PI (* a b))) (* 1/2 (/ PI (* a b)))) (* 1/2 (/ PI (* a b)))) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ (* 1/2 (/ PI (* a b))) (+ a b))) (cbrt (/ (* 1/2 (/ PI (* a b))) (+ a b)))) (cbrt (/ (* 1/2 (/ PI (* a b))) (+ a b))) (* (* (/ (* 1/2 (/ PI (* a b))) (+ a b)) (/ (* 1/2 (/ PI (* a b))) (+ a b))) (/ (* 1/2 (/ PI (* a b))) (+ a b))) (sqrt (/ (* 1/2 (/ PI (* a b))) (+ a b))) (sqrt (/ (* 1/2 (/ PI (* a b))) (+ a b))) (- (* 1/2 (/ PI (* a b)))) (- (+ a b)) (/ 1/2 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI (* a b)) (cbrt (+ a b))) (/ 1/2 (sqrt (+ a b))) (/ (/ PI (* a b)) (sqrt (+ a b))) (/ 1/2 1) (/ (/ PI (* a b)) (+ a b)) (/ 1/2 1) (/ (/ PI (* a b)) (+ a b)) (/ 1 (+ a b)) (/ (+ a b) (* 1/2 (/ PI (* a b)))) (/ (* 1/2 (/ PI (* a b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (* 1/2 (/ PI (* a b))) (sqrt (+ a b))) (/ (* 1/2 (/ PI (* a b))) 1) (/ (* 1/2 (/ PI (* a b))) 1) (/ (+ a b) (/ PI (* a b))) (/ (* 1/2 (/ PI (* a b))) (+ (pow a 3) (pow b 3))) (/ (* 1/2 (/ PI (* a b))) (- (* a a) (* b b))) (* (+ a b) (* a b)) (real->posit16 (/ (* 1/2 (/ PI (* a b))) (+ a b))) (/ PI (* a b)) (/ PI (* a b)) (/ PI (* a b)) 0 0 0 21.657 * * [simplify]: iteration 1: (109 enodes) 21.705 * * [simplify]: iteration 2: (294 enodes) 21.856 * * [simplify]: iteration 3: (1075 enodes) 23.757 * * [simplify]: Extracting #0: cost 46 inf + 0 23.759 * * [simplify]: Extracting #1: cost 750 inf + 2 23.768 * * [simplify]: Extracting #2: cost 1770 inf + 16409 23.832 * * [simplify]: Extracting #3: cost 853 inf + 243255 23.939 * * [simplify]: Extracting #4: cost 91 inf + 440433 24.061 * * [simplify]: Extracting #5: cost 0 inf + 469573 24.248 * * [simplify]: Extracting #6: cost 0 inf + 469493 24.424 * [simplify]: Simplified to: (log (/ (/ PI a) b)) (log (/ (/ PI a) b)) (log (/ (/ PI a) b)) (exp (/ (/ PI a) b)) (* (* (/ (/ PI a) b) (/ (/ PI a) b)) (/ (/ PI a) b)) (* (* (/ (/ PI a) b) (/ (/ PI a) b)) (/ (/ PI 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) (* (- b) a) (* (/ (cbrt PI) a) (cbrt PI)) (/ (cbrt PI) b) (/ (sqrt PI) a) (/ (sqrt PI) b) (/ 1 a) (/ PI b) (/ (/ 1 a) b) (* b (/ a PI)) (/ PI a) (/ (* b a) (cbrt PI)) (/ (* b a) (sqrt PI)) (* b (/ a PI)) (real->posit16 (/ (/ PI a) b)) (log (* (/ (/ PI a) (+ a b)) (/ 1/2 b))) (log (* (/ (/ PI a) (+ a b)) (/ 1/2 b))) (log (* (/ (/ PI a) (+ a b)) (/ 1/2 b))) (log (* (/ (/ PI a) (+ a b)) (/ 1/2 b))) (log (* (/ (/ PI a) (+ a b)) (/ 1/2 b))) (exp (* (/ (/ PI a) (+ a b)) (/ 1/2 b))) (/ (/ 1/8 (* (* b a) (/ (+ a b) PI))) (* (* (* b a) (/ (+ a b) PI)) (* (* b a) (/ (+ a b) PI)))) (/ (/ 1/8 (* (* b a) (/ (+ a b) PI))) (* (* (* b a) (/ (+ a b) PI)) (* (* b a) (/ (+ a b) PI)))) (/ (/ 1/8 (* (* b a) (/ (+ a b) PI))) (* (* (* b a) (/ (+ a b) PI)) (* (* b a) (/ (+ a b) PI)))) (/ (/ 1/8 (* (* b a) (/ (+ a b) PI))) (* (* (* b a) (/ (+ a b) PI)) (* (* b a) (/ (+ a b) PI)))) (* (cbrt (* (/ (/ PI a) (+ a b)) (/ 1/2 b))) (cbrt (* (/ (/ PI a) (+ a b)) (/ 1/2 b)))) (cbrt (* (/ (/ PI a) (+ a b)) (/ 1/2 b))) (/ (/ 1/8 (* (* b a) (/ (+ a b) PI))) (* (* (* b a) (/ (+ a b) PI)) (* (* b a) (/ (+ a b) PI)))) (sqrt (* (/ (/ PI a) (+ a b)) (/ 1/2 b))) (sqrt (* (/ (/ PI a) (+ a b)) (/ 1/2 b))) (* (/ (/ PI a) b) -1/2) (- (- a) b) (/ (/ 1/2 (cbrt (+ a b))) (cbrt (+ a b))) (/ PI (* (* b a) (cbrt (+ a b)))) (/ 1/2 (sqrt (+ a b))) (/ PI (* (* b (sqrt (+ a b))) a)) 1/2 (/ (/ (/ PI a) b) (+ a b)) 1/2 (/ (/ (/ PI a) b) (+ a b)) (/ 1 (+ a b)) (/ (* (+ a b) (* b (/ a PI))) 1/2) (/ (/ (* (/ PI a) (/ 1/2 b)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (* (/ PI a) (/ 1/2 b)) (sqrt (+ a b))) (* (/ PI a) (/ 1/2 b)) (* (/ PI a) (/ 1/2 b)) (* (* b a) (/ (+ a b) PI)) (/ (/ 1/2 a) (/ (+ (* a (* a a)) (* b (* b b))) (/ PI b))) (/ (/ (* 1/2 PI) (- (* a a) (* b b))) (* b a)) (* (+ a b) (* b a)) (real->posit16 (* (/ (/ PI a) (+ a b)) (/ 1/2 b))) (/ (/ PI a) b) (/ (/ PI a) b) (/ (/ PI a) b) 0 0 0 24.429 * * * [progress]: adding candidates to table 24.912 * [progress]: [Phase 3 of 3] Extracting. 24.912 * * [regime]: Finding splitpoints for: (# # # # # # #) 24.915 * * * [regime-changes]: Trying 2 branch expressions: (b a) 24.915 * * * * [regimes]: Trying to branch on b from (# # # # # # #) 24.976 * * * * [regimes]: Trying to branch on a from (# # # # # # #) 25.011 * * * [regime]: Found split indices: #