7.400 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.096 * * * [progress]: [2/2] Setting up program. 0.100 * [progress]: [Phase 2 of 3] Improving. 0.100 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.100 * [simplify]: Simplifying: (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) 0.101 * * [simplify]: iteration 0: 15 enodes 0.104 * * [simplify]: iteration 1: 32 enodes 0.111 * * [simplify]: iteration 2: 94 enodes 0.149 * * [simplify]: iteration 3: 358 enodes 0.457 * * [simplify]: iteration 4: 1476 enodes 1.456 * * [simplify]: iteration complete: 5002 enodes 1.456 * * [simplify]: Extracting #0: cost 1 inf + 0 1.456 * * [simplify]: Extracting #1: cost 109 inf + 0 1.458 * * [simplify]: Extracting #2: cost 770 inf + 3 1.463 * * [simplify]: Extracting #3: cost 1369 inf + 8904 1.484 * * [simplify]: Extracting #4: cost 906 inf + 96623 1.560 * * [simplify]: Extracting #5: cost 117 inf + 235172 1.656 * * [simplify]: Extracting #6: cost 0 inf + 261572 1.737 * [simplify]: Simplified to: (/ (+ (/ (/ (/ PI (+ a b)) 2) a) (- (/ (/ (/ PI (+ a b)) 2) b))) (- b a)) 1.746 * * [progress]: iteration 1 / 4 1.746 * * * [progress]: picking best candidate 1.757 * * * * [pick]: Picked # 1.757 * * * [progress]: localizing error 1.790 * * * [progress]: generating rewritten candidates 1.790 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 1 1) 1.799 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 1.807 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.844 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.886 * * * [progress]: generating series expansions 1.886 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 1 1) 1.890 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 1.890 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 1.891 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 1.891 * [taylor]: Taking taylor expansion of PI in b 1.891 * [backup-simplify]: Simplify PI into PI 1.891 * [taylor]: Taking taylor expansion of (+ a b) in b 1.891 * [taylor]: Taking taylor expansion of a in b 1.891 * [backup-simplify]: Simplify a into a 1.891 * [taylor]: Taking taylor expansion of b in b 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify 1 into 1 1.891 * [backup-simplify]: Simplify (+ a 0) into a 1.891 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 1.891 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 1.891 * [taylor]: Taking taylor expansion of PI in a 1.891 * [backup-simplify]: Simplify PI into PI 1.892 * [taylor]: Taking taylor expansion of (+ a b) in a 1.892 * [taylor]: Taking taylor expansion of a in a 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 1 into 1 1.892 * [taylor]: Taking taylor expansion of b in a 1.892 * [backup-simplify]: Simplify b into b 1.892 * [backup-simplify]: Simplify (+ 0 b) into b 1.892 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 1.892 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 1.892 * [taylor]: Taking taylor expansion of PI in a 1.892 * [backup-simplify]: Simplify PI into PI 1.892 * [taylor]: Taking taylor expansion of (+ a b) in a 1.892 * [taylor]: Taking taylor expansion of a in a 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 1 into 1 1.892 * [taylor]: Taking taylor expansion of b in a 1.892 * [backup-simplify]: Simplify b into b 1.892 * [backup-simplify]: Simplify (+ 0 b) into b 1.892 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 1.892 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.892 * [taylor]: Taking taylor expansion of PI in b 1.892 * [backup-simplify]: Simplify PI into PI 1.892 * [taylor]: Taking taylor expansion of b in b 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify 1 into 1 1.893 * [backup-simplify]: Simplify (/ PI 1) into PI 1.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify (+ 1 0) into 1 1.895 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 1.895 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 1.895 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.895 * [taylor]: Taking taylor expansion of PI in b 1.895 * [backup-simplify]: Simplify PI into PI 1.895 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.895 * [taylor]: Taking taylor expansion of b in b 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.895 * [backup-simplify]: Simplify (* 1 1) into 1 1.896 * [backup-simplify]: Simplify (/ PI 1) into PI 1.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (- 0) into 0 1.898 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify (+ 0 0) into 0 1.900 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 1.900 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 1.900 * [taylor]: Taking taylor expansion of PI in b 1.900 * [backup-simplify]: Simplify PI into PI 1.900 * [taylor]: Taking taylor expansion of (pow b 3) in b 1.900 * [taylor]: Taking taylor expansion of b in b 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 1 into 1 1.900 * [backup-simplify]: Simplify (* 1 1) into 1 1.900 * [backup-simplify]: Simplify (* 1 1) into 1 1.901 * [backup-simplify]: Simplify (/ PI 1) into PI 1.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.916 * [backup-simplify]: Simplify (- 0) into 0 1.916 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 1.917 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 1.917 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 1.917 * [taylor]: Taking taylor expansion of PI in b 1.917 * [backup-simplify]: Simplify PI into PI 1.917 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.917 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.917 * [taylor]: Taking taylor expansion of a in b 1.917 * [backup-simplify]: Simplify a into a 1.917 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.917 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.917 * [taylor]: Taking taylor expansion of b in b 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 1 into 1 1.917 * [backup-simplify]: Simplify (/ 1 1) into 1 1.918 * [backup-simplify]: Simplify (+ 0 1) into 1 1.918 * [backup-simplify]: Simplify (/ PI 1) into PI 1.918 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.918 * [taylor]: Taking taylor expansion of PI in a 1.918 * [backup-simplify]: Simplify PI into PI 1.918 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.918 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.918 * [taylor]: Taking taylor expansion of a in a 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.918 * [backup-simplify]: Simplify (/ 1 1) into 1 1.918 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.918 * [taylor]: Taking taylor expansion of b in a 1.918 * [backup-simplify]: Simplify b into b 1.918 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.919 * [backup-simplify]: Simplify (+ 1 0) into 1 1.919 * [backup-simplify]: Simplify (/ PI 1) into PI 1.919 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.919 * [taylor]: Taking taylor expansion of PI in a 1.919 * [backup-simplify]: Simplify PI into PI 1.919 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.919 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.919 * [taylor]: Taking taylor expansion of a in a 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify 1 into 1 1.919 * [backup-simplify]: Simplify (/ 1 1) into 1 1.919 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.919 * [taylor]: Taking taylor expansion of b in a 1.919 * [backup-simplify]: Simplify b into b 1.919 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.920 * [backup-simplify]: Simplify (+ 1 0) into 1 1.920 * [backup-simplify]: Simplify (/ PI 1) into PI 1.920 * [taylor]: Taking taylor expansion of PI in b 1.920 * [backup-simplify]: Simplify PI into PI 1.920 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.921 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 1.921 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 1.921 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.921 * [taylor]: Taking taylor expansion of PI in b 1.921 * [backup-simplify]: Simplify PI into PI 1.921 * [taylor]: Taking taylor expansion of b in b 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (/ PI 1) into PI 1.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.924 * [backup-simplify]: Simplify (- 0) into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.925 * [backup-simplify]: Simplify (+ 0 0) into 0 1.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 1.927 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.927 * [taylor]: Taking taylor expansion of PI in b 1.927 * [backup-simplify]: Simplify PI into PI 1.927 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.927 * [taylor]: Taking taylor expansion of b in b 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [backup-simplify]: Simplify (* 1 1) into 1 1.928 * [backup-simplify]: Simplify (/ PI 1) into PI 1.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.934 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.935 * [backup-simplify]: Simplify (- 0) into 0 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 1.936 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 1.936 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 1.936 * [taylor]: Taking taylor expansion of -1 in b 1.936 * [backup-simplify]: Simplify -1 into -1 1.936 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 1.936 * [taylor]: Taking taylor expansion of PI in b 1.936 * [backup-simplify]: Simplify PI into PI 1.936 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.936 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.936 * [taylor]: Taking taylor expansion of a in b 1.936 * [backup-simplify]: Simplify a into a 1.936 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.936 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.936 * [taylor]: Taking taylor expansion of b in b 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 1 into 1 1.936 * [backup-simplify]: Simplify (/ 1 1) into 1 1.937 * [backup-simplify]: Simplify (+ 0 1) into 1 1.937 * [backup-simplify]: Simplify (/ PI 1) into PI 1.937 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 1.937 * [taylor]: Taking taylor expansion of -1 in a 1.937 * [backup-simplify]: Simplify -1 into -1 1.938 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.938 * [taylor]: Taking taylor expansion of PI in a 1.938 * [backup-simplify]: Simplify PI into PI 1.938 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.938 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.938 * [taylor]: Taking taylor expansion of a in a 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [backup-simplify]: Simplify (/ 1 1) into 1 1.938 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.938 * [taylor]: Taking taylor expansion of b in a 1.938 * [backup-simplify]: Simplify b into b 1.938 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.939 * [backup-simplify]: Simplify (+ 1 0) into 1 1.939 * [backup-simplify]: Simplify (/ PI 1) into PI 1.939 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 1.939 * [taylor]: Taking taylor expansion of -1 in a 1.939 * [backup-simplify]: Simplify -1 into -1 1.939 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.939 * [taylor]: Taking taylor expansion of PI in a 1.939 * [backup-simplify]: Simplify PI into PI 1.939 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.939 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.939 * [taylor]: Taking taylor expansion of a in a 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (/ 1 1) into 1 1.939 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.939 * [taylor]: Taking taylor expansion of b in a 1.939 * [backup-simplify]: Simplify b into b 1.939 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.940 * [backup-simplify]: Simplify (+ 1 0) into 1 1.940 * [backup-simplify]: Simplify (/ PI 1) into PI 1.941 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 1.941 * [taylor]: Taking taylor expansion of (* -1 PI) in b 1.941 * [taylor]: Taking taylor expansion of -1 in b 1.941 * [backup-simplify]: Simplify -1 into -1 1.941 * [taylor]: Taking taylor expansion of PI in b 1.941 * [backup-simplify]: Simplify PI into PI 1.941 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 1.942 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 1.942 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.942 * [taylor]: Taking taylor expansion of PI in b 1.942 * [backup-simplify]: Simplify PI into PI 1.942 * [taylor]: Taking taylor expansion of b in b 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 1 into 1 1.943 * [backup-simplify]: Simplify (/ PI 1) into PI 1.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.944 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.945 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 1.947 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 1.947 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 1.947 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.947 * [taylor]: Taking taylor expansion of PI in b 1.947 * [backup-simplify]: Simplify PI into PI 1.947 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.947 * [taylor]: Taking taylor expansion of b in b 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify (* 1 1) into 1 1.947 * [backup-simplify]: Simplify (/ PI 1) into PI 1.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.951 * [backup-simplify]: Simplify (- 0) into 0 1.951 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 1.953 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 1.953 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 1.953 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 1.953 * [taylor]: Taking taylor expansion of PI in b 1.953 * [backup-simplify]: Simplify PI into PI 1.953 * [taylor]: Taking taylor expansion of (+ a b) in b 1.953 * [taylor]: Taking taylor expansion of a in b 1.953 * [backup-simplify]: Simplify a into a 1.953 * [taylor]: Taking taylor expansion of b in b 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [backup-simplify]: Simplify (+ a 0) into a 1.953 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 1.953 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 1.953 * [taylor]: Taking taylor expansion of PI in a 1.953 * [backup-simplify]: Simplify PI into PI 1.953 * [taylor]: Taking taylor expansion of (+ a b) in a 1.953 * [taylor]: Taking taylor expansion of a in a 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [taylor]: Taking taylor expansion of b in a 1.953 * [backup-simplify]: Simplify b into b 1.953 * [backup-simplify]: Simplify (+ 0 b) into b 1.953 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 1.953 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 1.953 * [taylor]: Taking taylor expansion of PI in a 1.953 * [backup-simplify]: Simplify PI into PI 1.953 * [taylor]: Taking taylor expansion of (+ a b) in a 1.953 * [taylor]: Taking taylor expansion of a in a 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [taylor]: Taking taylor expansion of b in a 1.953 * [backup-simplify]: Simplify b into b 1.953 * [backup-simplify]: Simplify (+ 0 b) into b 1.953 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 1.953 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.953 * [taylor]: Taking taylor expansion of PI in b 1.953 * [backup-simplify]: Simplify PI into PI 1.953 * [taylor]: Taking taylor expansion of b in b 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.954 * [backup-simplify]: Simplify (/ PI 1) into PI 1.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify (+ 1 0) into 1 1.955 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 1.955 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 1.955 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.955 * [taylor]: Taking taylor expansion of PI in b 1.955 * [backup-simplify]: Simplify PI into PI 1.955 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.955 * [taylor]: Taking taylor expansion of b in b 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 1 into 1 1.955 * [backup-simplify]: Simplify (* 1 1) into 1 1.955 * [backup-simplify]: Simplify (/ PI 1) into PI 1.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify (- 0) into 0 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify (+ 0 0) into 0 1.959 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 1.959 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 1.959 * [taylor]: Taking taylor expansion of PI in b 1.959 * [backup-simplify]: Simplify PI into PI 1.959 * [taylor]: Taking taylor expansion of (pow b 3) in b 1.959 * [taylor]: Taking taylor expansion of b in b 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (* 1 1) into 1 1.959 * [backup-simplify]: Simplify (* 1 1) into 1 1.960 * [backup-simplify]: Simplify (/ PI 1) into PI 1.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.964 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.966 * [backup-simplify]: Simplify (- 0) into 0 1.966 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 1.967 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 1.967 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 1.967 * [taylor]: Taking taylor expansion of PI in b 1.967 * [backup-simplify]: Simplify PI into PI 1.967 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.967 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.967 * [taylor]: Taking taylor expansion of a in b 1.967 * [backup-simplify]: Simplify a into a 1.967 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.967 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.967 * [taylor]: Taking taylor expansion of b in b 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify (/ 1 1) into 1 1.968 * [backup-simplify]: Simplify (+ 0 1) into 1 1.968 * [backup-simplify]: Simplify (/ PI 1) into PI 1.968 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.968 * [taylor]: Taking taylor expansion of PI in a 1.968 * [backup-simplify]: Simplify PI into PI 1.968 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.968 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.968 * [taylor]: Taking taylor expansion of a in a 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (/ 1 1) into 1 1.969 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.969 * [taylor]: Taking taylor expansion of b in a 1.969 * [backup-simplify]: Simplify b into b 1.969 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.969 * [backup-simplify]: Simplify (+ 1 0) into 1 1.969 * [backup-simplify]: Simplify (/ PI 1) into PI 1.969 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.969 * [taylor]: Taking taylor expansion of PI in a 1.969 * [backup-simplify]: Simplify PI into PI 1.969 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.969 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.969 * [taylor]: Taking taylor expansion of a in a 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (/ 1 1) into 1 1.970 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.970 * [taylor]: Taking taylor expansion of b in a 1.970 * [backup-simplify]: Simplify b into b 1.970 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.970 * [backup-simplify]: Simplify (+ 1 0) into 1 1.970 * [backup-simplify]: Simplify (/ PI 1) into PI 1.970 * [taylor]: Taking taylor expansion of PI in b 1.970 * [backup-simplify]: Simplify PI into PI 1.970 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.971 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 1.971 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 1.971 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.971 * [taylor]: Taking taylor expansion of PI in b 1.971 * [backup-simplify]: Simplify PI into PI 1.971 * [taylor]: Taking taylor expansion of b in b 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (/ PI 1) into PI 1.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.973 * [backup-simplify]: Simplify (- 0) into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.974 * [backup-simplify]: Simplify (+ 0 0) into 0 1.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 1.975 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.975 * [taylor]: Taking taylor expansion of PI in b 1.975 * [backup-simplify]: Simplify PI into PI 1.975 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.975 * [taylor]: Taking taylor expansion of b in b 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (* 1 1) into 1 1.975 * [backup-simplify]: Simplify (/ PI 1) into PI 1.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (- 0) into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 1.981 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 1.981 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 1.981 * [taylor]: Taking taylor expansion of -1 in b 1.981 * [backup-simplify]: Simplify -1 into -1 1.981 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 1.981 * [taylor]: Taking taylor expansion of PI in b 1.981 * [backup-simplify]: Simplify PI into PI 1.981 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.981 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.981 * [taylor]: Taking taylor expansion of a in b 1.981 * [backup-simplify]: Simplify a into a 1.981 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.981 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.981 * [taylor]: Taking taylor expansion of b in b 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (/ 1 1) into 1 1.982 * [backup-simplify]: Simplify (+ 0 1) into 1 1.982 * [backup-simplify]: Simplify (/ PI 1) into PI 1.983 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 1.983 * [taylor]: Taking taylor expansion of -1 in a 1.983 * [backup-simplify]: Simplify -1 into -1 1.983 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.983 * [taylor]: Taking taylor expansion of PI in a 1.983 * [backup-simplify]: Simplify PI into PI 1.983 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.983 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.983 * [taylor]: Taking taylor expansion of a in a 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify (/ 1 1) into 1 1.983 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.983 * [taylor]: Taking taylor expansion of b in a 1.983 * [backup-simplify]: Simplify b into b 1.983 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.984 * [backup-simplify]: Simplify (+ 1 0) into 1 1.984 * [backup-simplify]: Simplify (/ PI 1) into PI 1.984 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 1.984 * [taylor]: Taking taylor expansion of -1 in a 1.984 * [backup-simplify]: Simplify -1 into -1 1.984 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 1.984 * [taylor]: Taking taylor expansion of PI in a 1.984 * [backup-simplify]: Simplify PI into PI 1.984 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.984 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.985 * [taylor]: Taking taylor expansion of a in a 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.985 * [backup-simplify]: Simplify (/ 1 1) into 1 1.985 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.985 * [taylor]: Taking taylor expansion of b in a 1.985 * [backup-simplify]: Simplify b into b 1.985 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.986 * [backup-simplify]: Simplify (+ 1 0) into 1 1.986 * [backup-simplify]: Simplify (/ PI 1) into PI 1.987 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 1.987 * [taylor]: Taking taylor expansion of (* -1 PI) in b 1.987 * [taylor]: Taking taylor expansion of -1 in b 1.987 * [backup-simplify]: Simplify -1 into -1 1.987 * [taylor]: Taking taylor expansion of PI in b 1.987 * [backup-simplify]: Simplify PI into PI 1.988 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 1.990 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 1.990 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.990 * [taylor]: Taking taylor expansion of PI in b 1.990 * [backup-simplify]: Simplify PI into PI 1.990 * [taylor]: Taking taylor expansion of b in b 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.991 * [backup-simplify]: Simplify (/ PI 1) into PI 1.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 1.994 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.996 * [backup-simplify]: Simplify (+ 0 0) into 0 1.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 1.998 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 1.998 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 1.998 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.998 * [taylor]: Taking taylor expansion of PI in b 1.998 * [backup-simplify]: Simplify PI into PI 1.998 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.998 * [taylor]: Taking taylor expansion of b in b 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [backup-simplify]: Simplify (* 1 1) into 1 1.999 * [backup-simplify]: Simplify (/ PI 1) into PI 2.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.006 * [backup-simplify]: Simplify (- 0) into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.007 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.009 * [backup-simplify]: Simplify (/ (/ (/ PI (+ a b)) 2) a) into (* 1/2 (/ PI (* a (+ a b)))) 2.009 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in (a b) around 0 2.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in b 2.009 * [taylor]: Taking taylor expansion of 1/2 in b 2.009 * [backup-simplify]: Simplify 1/2 into 1/2 2.009 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in b 2.009 * [taylor]: Taking taylor expansion of PI in b 2.009 * [backup-simplify]: Simplify PI into PI 2.009 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 2.009 * [taylor]: Taking taylor expansion of a in b 2.009 * [backup-simplify]: Simplify a into a 2.009 * [taylor]: Taking taylor expansion of (+ a b) in b 2.009 * [taylor]: Taking taylor expansion of a in b 2.009 * [backup-simplify]: Simplify a into a 2.009 * [taylor]: Taking taylor expansion of b in b 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.009 * [backup-simplify]: Simplify (+ a 0) into a 2.009 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.009 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 2.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 2.009 * [taylor]: Taking taylor expansion of 1/2 in a 2.009 * [backup-simplify]: Simplify 1/2 into 1/2 2.009 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 2.009 * [taylor]: Taking taylor expansion of PI in a 2.009 * [backup-simplify]: Simplify PI into PI 2.009 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 2.009 * [taylor]: Taking taylor expansion of a in a 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.009 * [taylor]: Taking taylor expansion of (+ a b) in a 2.009 * [taylor]: Taking taylor expansion of a in a 2.009 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 1 into 1 2.010 * [taylor]: Taking taylor expansion of b in a 2.010 * [backup-simplify]: Simplify b into b 2.010 * [backup-simplify]: Simplify (+ 0 b) into b 2.010 * [backup-simplify]: Simplify (* 0 b) into 0 2.010 * [backup-simplify]: Simplify (+ 1 0) into 1 2.011 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 2.011 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.011 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 2.011 * [taylor]: Taking taylor expansion of 1/2 in a 2.011 * [backup-simplify]: Simplify 1/2 into 1/2 2.011 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 2.011 * [taylor]: Taking taylor expansion of PI in a 2.011 * [backup-simplify]: Simplify PI into PI 2.011 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 2.011 * [taylor]: Taking taylor expansion of a in a 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 1 into 1 2.011 * [taylor]: Taking taylor expansion of (+ a b) in a 2.011 * [taylor]: Taking taylor expansion of a in a 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 1 into 1 2.011 * [taylor]: Taking taylor expansion of b in a 2.011 * [backup-simplify]: Simplify b into b 2.011 * [backup-simplify]: Simplify (+ 0 b) into b 2.011 * [backup-simplify]: Simplify (* 0 b) into 0 2.012 * [backup-simplify]: Simplify (+ 1 0) into 1 2.012 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 2.012 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.013 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 2.013 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.013 * [taylor]: Taking taylor expansion of 1/2 in b 2.013 * [backup-simplify]: Simplify 1/2 into 1/2 2.013 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.013 * [taylor]: Taking taylor expansion of PI in b 2.013 * [backup-simplify]: Simplify PI into PI 2.013 * [taylor]: Taking taylor expansion of b in b 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (/ PI 1) into PI 2.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.015 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify (+ 0 0) into 0 2.017 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 b))) into 1 2.017 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 2.017 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 2.017 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 2.017 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.017 * [taylor]: Taking taylor expansion of 1/2 in b 2.017 * [backup-simplify]: Simplify 1/2 into 1/2 2.017 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.017 * [taylor]: Taking taylor expansion of PI in b 2.017 * [backup-simplify]: Simplify PI into PI 2.017 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.017 * [taylor]: Taking taylor expansion of b in b 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify 1 into 1 2.018 * [backup-simplify]: Simplify (* 1 1) into 1 2.018 * [backup-simplify]: Simplify (/ PI 1) into PI 2.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.026 * [backup-simplify]: Simplify (- 0) into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.028 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.028 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify (+ 0 0) into 0 2.030 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 b)))) into 0 2.030 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 2.031 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 2.031 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 2.031 * [taylor]: Taking taylor expansion of 1/2 in b 2.031 * [backup-simplify]: Simplify 1/2 into 1/2 2.031 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.031 * [taylor]: Taking taylor expansion of PI in b 2.031 * [backup-simplify]: Simplify PI into PI 2.031 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.031 * [taylor]: Taking taylor expansion of b in b 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify (* 1 1) into 1 2.032 * [backup-simplify]: Simplify (* 1 1) into 1 2.032 * [backup-simplify]: Simplify (/ PI 1) into PI 2.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.042 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.046 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.046 * [backup-simplify]: Simplify (- 0) into 0 2.046 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2) (/ 1 a)) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 2.049 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.050 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 2.050 * [taylor]: Taking taylor expansion of 1/2 in b 2.050 * [backup-simplify]: Simplify 1/2 into 1/2 2.050 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 2.050 * [taylor]: Taking taylor expansion of (* a PI) in b 2.050 * [taylor]: Taking taylor expansion of a in b 2.050 * [backup-simplify]: Simplify a into a 2.050 * [taylor]: Taking taylor expansion of PI in b 2.050 * [backup-simplify]: Simplify PI into PI 2.050 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.050 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.050 * [taylor]: Taking taylor expansion of a in b 2.050 * [backup-simplify]: Simplify a into a 2.050 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.050 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.050 * [taylor]: Taking taylor expansion of b in b 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 1 into 1 2.050 * [backup-simplify]: Simplify (/ 1 1) into 1 2.051 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.051 * [backup-simplify]: Simplify (+ 0 1) into 1 2.051 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 2.051 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 2.051 * [taylor]: Taking taylor expansion of 1/2 in a 2.051 * [backup-simplify]: Simplify 1/2 into 1/2 2.051 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 2.051 * [taylor]: Taking taylor expansion of (* a PI) in a 2.051 * [taylor]: Taking taylor expansion of a in a 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.051 * [taylor]: Taking taylor expansion of PI in a 2.051 * [backup-simplify]: Simplify PI into PI 2.051 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.051 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.051 * [taylor]: Taking taylor expansion of a in a 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (/ 1 1) into 1 2.052 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.052 * [taylor]: Taking taylor expansion of b in a 2.052 * [backup-simplify]: Simplify b into b 2.052 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.053 * [backup-simplify]: Simplify (* 0 PI) into 0 2.054 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.055 * [backup-simplify]: Simplify (+ 1 0) into 1 2.055 * [backup-simplify]: Simplify (/ PI 1) into PI 2.055 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 2.055 * [taylor]: Taking taylor expansion of 1/2 in a 2.055 * [backup-simplify]: Simplify 1/2 into 1/2 2.055 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 2.055 * [taylor]: Taking taylor expansion of (* a PI) in a 2.055 * [taylor]: Taking taylor expansion of a in a 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify 1 into 1 2.055 * [taylor]: Taking taylor expansion of PI in a 2.055 * [backup-simplify]: Simplify PI into PI 2.055 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.055 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.055 * [taylor]: Taking taylor expansion of a in a 2.055 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.056 * [backup-simplify]: Simplify (/ 1 1) into 1 2.056 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.056 * [taylor]: Taking taylor expansion of b in a 2.056 * [backup-simplify]: Simplify b into b 2.056 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.057 * [backup-simplify]: Simplify (* 0 PI) into 0 2.058 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.059 * [backup-simplify]: Simplify (+ 1 0) into 1 2.059 * [backup-simplify]: Simplify (/ PI 1) into PI 2.060 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.060 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.060 * [taylor]: Taking taylor expansion of 1/2 in b 2.060 * [backup-simplify]: Simplify 1/2 into 1/2 2.060 * [taylor]: Taking taylor expansion of PI in b 2.060 * [backup-simplify]: Simplify PI into PI 2.061 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.063 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.064 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 2.064 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 2.064 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.064 * [taylor]: Taking taylor expansion of 1/2 in b 2.064 * [backup-simplify]: Simplify 1/2 into 1/2 2.064 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.064 * [taylor]: Taking taylor expansion of PI in b 2.064 * [backup-simplify]: Simplify PI into PI 2.064 * [taylor]: Taking taylor expansion of b in b 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 1 into 1 2.065 * [backup-simplify]: Simplify (/ PI 1) into PI 2.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.069 * [backup-simplify]: Simplify (- 0) into 0 2.069 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.072 * [backup-simplify]: Simplify (+ 0 0) into 0 2.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.074 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 2.074 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.074 * [taylor]: Taking taylor expansion of 1/2 in b 2.074 * [backup-simplify]: Simplify 1/2 into 1/2 2.074 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.074 * [taylor]: Taking taylor expansion of PI in b 2.074 * [backup-simplify]: Simplify PI into PI 2.074 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.074 * [taylor]: Taking taylor expansion of b in b 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify (* 1 1) into 1 2.075 * [backup-simplify]: Simplify (/ PI 1) into PI 2.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.082 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.085 * [backup-simplify]: Simplify (- 0) into 0 2.085 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ 1 (- a))) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 2.087 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 2.087 * [taylor]: Taking taylor expansion of 1/2 in b 2.087 * [backup-simplify]: Simplify 1/2 into 1/2 2.087 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 2.087 * [taylor]: Taking taylor expansion of (* a PI) in b 2.087 * [taylor]: Taking taylor expansion of a in b 2.087 * [backup-simplify]: Simplify a into a 2.087 * [taylor]: Taking taylor expansion of PI in b 2.087 * [backup-simplify]: Simplify PI into PI 2.087 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.087 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.087 * [taylor]: Taking taylor expansion of a in b 2.087 * [backup-simplify]: Simplify a into a 2.087 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.087 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.087 * [taylor]: Taking taylor expansion of b in b 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 1 into 1 2.088 * [backup-simplify]: Simplify (/ 1 1) into 1 2.088 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.088 * [backup-simplify]: Simplify (+ 0 1) into 1 2.088 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 2.088 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 2.088 * [taylor]: Taking taylor expansion of 1/2 in a 2.088 * [backup-simplify]: Simplify 1/2 into 1/2 2.088 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 2.088 * [taylor]: Taking taylor expansion of (* a PI) in a 2.088 * [taylor]: Taking taylor expansion of a in a 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify 1 into 1 2.088 * [taylor]: Taking taylor expansion of PI in a 2.088 * [backup-simplify]: Simplify PI into PI 2.088 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.088 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.088 * [taylor]: Taking taylor expansion of a in a 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify 1 into 1 2.089 * [backup-simplify]: Simplify (/ 1 1) into 1 2.089 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.089 * [taylor]: Taking taylor expansion of b in a 2.089 * [backup-simplify]: Simplify b into b 2.089 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.089 * [backup-simplify]: Simplify (* 0 PI) into 0 2.091 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.091 * [backup-simplify]: Simplify (+ 1 0) into 1 2.092 * [backup-simplify]: Simplify (/ PI 1) into PI 2.092 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 2.092 * [taylor]: Taking taylor expansion of 1/2 in a 2.092 * [backup-simplify]: Simplify 1/2 into 1/2 2.092 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 2.092 * [taylor]: Taking taylor expansion of (* a PI) in a 2.092 * [taylor]: Taking taylor expansion of a in a 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 1 into 1 2.092 * [taylor]: Taking taylor expansion of PI in a 2.092 * [backup-simplify]: Simplify PI into PI 2.092 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.092 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.092 * [taylor]: Taking taylor expansion of a in a 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 1 into 1 2.093 * [backup-simplify]: Simplify (/ 1 1) into 1 2.093 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.093 * [taylor]: Taking taylor expansion of b in a 2.093 * [backup-simplify]: Simplify b into b 2.093 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.093 * [backup-simplify]: Simplify (* 0 PI) into 0 2.095 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.095 * [backup-simplify]: Simplify (+ 1 0) into 1 2.096 * [backup-simplify]: Simplify (/ PI 1) into PI 2.097 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.097 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.097 * [taylor]: Taking taylor expansion of 1/2 in b 2.097 * [backup-simplify]: Simplify 1/2 into 1/2 2.097 * [taylor]: Taking taylor expansion of PI in b 2.097 * [backup-simplify]: Simplify PI into PI 2.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.098 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.100 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.101 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 2.101 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 2.101 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.101 * [taylor]: Taking taylor expansion of 1/2 in b 2.101 * [backup-simplify]: Simplify 1/2 into 1/2 2.101 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.101 * [taylor]: Taking taylor expansion of PI in b 2.101 * [backup-simplify]: Simplify PI into PI 2.101 * [taylor]: Taking taylor expansion of b in b 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 1 into 1 2.102 * [backup-simplify]: Simplify (/ PI 1) into PI 2.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.105 * [backup-simplify]: Simplify (- 0) into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.108 * [backup-simplify]: Simplify (+ 0 0) into 0 2.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.109 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 2.109 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.109 * [taylor]: Taking taylor expansion of 1/2 in b 2.109 * [backup-simplify]: Simplify 1/2 into 1/2 2.109 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.109 * [taylor]: Taking taylor expansion of PI in b 2.109 * [backup-simplify]: Simplify PI into PI 2.109 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.109 * [taylor]: Taking taylor expansion of b in b 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (* 1 1) into 1 2.110 * [backup-simplify]: Simplify (/ PI 1) into PI 2.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.114 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.116 * [backup-simplify]: Simplify (- 0) into 0 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 2.117 * [backup-simplify]: Simplify (/ (/ (/ PI (+ a b)) 2) b) into (* 1/2 (/ PI (* b (+ a b)))) 2.117 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in (a b) around 0 2.117 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in b 2.117 * [taylor]: Taking taylor expansion of 1/2 in b 2.117 * [backup-simplify]: Simplify 1/2 into 1/2 2.117 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in b 2.117 * [taylor]: Taking taylor expansion of PI in b 2.117 * [backup-simplify]: Simplify PI into PI 2.117 * [taylor]: Taking taylor expansion of (* b (+ a b)) in b 2.117 * [taylor]: Taking taylor expansion of b in b 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 1 into 1 2.117 * [taylor]: Taking taylor expansion of (+ a b) in b 2.117 * [taylor]: Taking taylor expansion of a in b 2.117 * [backup-simplify]: Simplify a into a 2.117 * [taylor]: Taking taylor expansion of b in b 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 1 into 1 2.117 * [backup-simplify]: Simplify (+ a 0) into a 2.117 * [backup-simplify]: Simplify (* 0 a) into 0 2.117 * [backup-simplify]: Simplify (+ 0 1) into 1 2.118 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 a)) into a 2.118 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in a 2.118 * [taylor]: Taking taylor expansion of 1/2 in a 2.118 * [backup-simplify]: Simplify 1/2 into 1/2 2.118 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in a 2.118 * [taylor]: Taking taylor expansion of PI in a 2.118 * [backup-simplify]: Simplify PI into PI 2.118 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 2.118 * [taylor]: Taking taylor expansion of b in a 2.118 * [backup-simplify]: Simplify b into b 2.118 * [taylor]: Taking taylor expansion of (+ a b) in a 2.118 * [taylor]: Taking taylor expansion of a in a 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 1 into 1 2.118 * [taylor]: Taking taylor expansion of b in a 2.118 * [backup-simplify]: Simplify b into b 2.118 * [backup-simplify]: Simplify (+ 0 b) into b 2.118 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.118 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 2.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in a 2.118 * [taylor]: Taking taylor expansion of 1/2 in a 2.118 * [backup-simplify]: Simplify 1/2 into 1/2 2.118 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in a 2.118 * [taylor]: Taking taylor expansion of PI in a 2.118 * [backup-simplify]: Simplify PI into PI 2.118 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 2.118 * [taylor]: Taking taylor expansion of b in a 2.118 * [backup-simplify]: Simplify b into b 2.118 * [taylor]: Taking taylor expansion of (+ a b) in a 2.118 * [taylor]: Taking taylor expansion of a in a 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 1 into 1 2.118 * [taylor]: Taking taylor expansion of b in a 2.118 * [backup-simplify]: Simplify b into b 2.118 * [backup-simplify]: Simplify (+ 0 b) into b 2.118 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.118 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 2.118 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 2.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.118 * [taylor]: Taking taylor expansion of 1/2 in b 2.118 * [backup-simplify]: Simplify 1/2 into 1/2 2.118 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.119 * [taylor]: Taking taylor expansion of PI in b 2.119 * [backup-simplify]: Simplify PI into PI 2.119 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.119 * [taylor]: Taking taylor expansion of b in b 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.119 * [backup-simplify]: Simplify (* 1 1) into 1 2.119 * [backup-simplify]: Simplify (/ PI 1) into PI 2.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify (+ 1 0) into 1 2.121 * [backup-simplify]: Simplify (+ (* b 1) (* 0 b)) into b 2.121 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ b (pow b 2))))) into (- (/ PI (pow b 3))) 2.121 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 2.121 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 2.121 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 2.121 * [taylor]: Taking taylor expansion of 1/2 in b 2.121 * [backup-simplify]: Simplify 1/2 into 1/2 2.121 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.121 * [taylor]: Taking taylor expansion of PI in b 2.121 * [backup-simplify]: Simplify PI into PI 2.121 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.121 * [taylor]: Taking taylor expansion of b in b 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.122 * [backup-simplify]: Simplify (* 1 1) into 1 2.122 * [backup-simplify]: Simplify (* 1 1) into 1 2.122 * [backup-simplify]: Simplify (/ PI 1) into PI 2.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.126 * [backup-simplify]: Simplify (- 0) into 0 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify (+ 0 0) into 0 2.128 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 1) (* 0 b))) into 0 2.129 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))) (* (- (/ PI (pow b 3))) (/ b (pow b 2))))) into (/ PI (pow b 4)) 2.129 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 4))) (+ (* 0 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 2.129 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 2.129 * [taylor]: Taking taylor expansion of 1/2 in b 2.129 * [backup-simplify]: Simplify 1/2 into 1/2 2.129 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 2.129 * [taylor]: Taking taylor expansion of PI in b 2.129 * [backup-simplify]: Simplify PI into PI 2.129 * [taylor]: Taking taylor expansion of (pow b 4) in b 2.129 * [taylor]: Taking taylor expansion of b in b 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify 1 into 1 2.129 * [backup-simplify]: Simplify (* 1 1) into 1 2.129 * [backup-simplify]: Simplify (* 1 1) into 1 2.130 * [backup-simplify]: Simplify (/ PI 1) into PI 2.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.135 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.138 * [backup-simplify]: Simplify (- 0) into 0 2.138 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2) (/ 1 b)) into (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) 2.141 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.141 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in b 2.141 * [taylor]: Taking taylor expansion of 1/2 in b 2.141 * [backup-simplify]: Simplify 1/2 into 1/2 2.141 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in b 2.141 * [taylor]: Taking taylor expansion of (* b PI) in b 2.141 * [taylor]: Taking taylor expansion of b in b 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [taylor]: Taking taylor expansion of PI in b 2.141 * [backup-simplify]: Simplify PI into PI 2.141 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.141 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.141 * [taylor]: Taking taylor expansion of a in b 2.141 * [backup-simplify]: Simplify a into a 2.141 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.141 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.142 * [taylor]: Taking taylor expansion of b in b 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify 1 into 1 2.142 * [backup-simplify]: Simplify (/ 1 1) into 1 2.142 * [backup-simplify]: Simplify (* 0 PI) into 0 2.144 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.144 * [backup-simplify]: Simplify (+ 0 1) into 1 2.144 * [backup-simplify]: Simplify (/ PI 1) into PI 2.145 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 2.145 * [taylor]: Taking taylor expansion of 1/2 in a 2.145 * [backup-simplify]: Simplify 1/2 into 1/2 2.145 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 2.145 * [taylor]: Taking taylor expansion of (* b PI) in a 2.145 * [taylor]: Taking taylor expansion of b in a 2.145 * [backup-simplify]: Simplify b into b 2.145 * [taylor]: Taking taylor expansion of PI in a 2.145 * [backup-simplify]: Simplify PI into PI 2.145 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.145 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.145 * [taylor]: Taking taylor expansion of a in a 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (/ 1 1) into 1 2.145 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.145 * [taylor]: Taking taylor expansion of b in a 2.145 * [backup-simplify]: Simplify b into b 2.145 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.145 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.146 * [backup-simplify]: Simplify (+ 1 0) into 1 2.146 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.146 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 2.146 * [taylor]: Taking taylor expansion of 1/2 in a 2.146 * [backup-simplify]: Simplify 1/2 into 1/2 2.146 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 2.146 * [taylor]: Taking taylor expansion of (* b PI) in a 2.146 * [taylor]: Taking taylor expansion of b in a 2.146 * [backup-simplify]: Simplify b into b 2.146 * [taylor]: Taking taylor expansion of PI in a 2.146 * [backup-simplify]: Simplify PI into PI 2.146 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.146 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.146 * [taylor]: Taking taylor expansion of a in a 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 1 into 1 2.146 * [backup-simplify]: Simplify (/ 1 1) into 1 2.146 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.146 * [taylor]: Taking taylor expansion of b in a 2.147 * [backup-simplify]: Simplify b into b 2.147 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.147 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.147 * [backup-simplify]: Simplify (+ 1 0) into 1 2.147 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.147 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 2.147 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 2.147 * [taylor]: Taking taylor expansion of 1/2 in b 2.147 * [backup-simplify]: Simplify 1/2 into 1/2 2.147 * [taylor]: Taking taylor expansion of (* PI b) in b 2.147 * [taylor]: Taking taylor expansion of PI in b 2.147 * [backup-simplify]: Simplify PI into PI 2.147 * [taylor]: Taking taylor expansion of b in b 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 1 into 1 2.148 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 2.152 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 2.152 * [backup-simplify]: Simplify (* PI 0) into 0 2.153 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 2.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.154 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 2.156 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 2.156 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 2.156 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.156 * [taylor]: Taking taylor expansion of 1/2 in b 2.156 * [backup-simplify]: Simplify 1/2 into 1/2 2.156 * [taylor]: Taking taylor expansion of PI in b 2.156 * [backup-simplify]: Simplify PI into PI 2.157 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.157 * [backup-simplify]: Simplify (- 0) into 0 2.157 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 2.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.162 * [backup-simplify]: Simplify (+ 0 0) into 0 2.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 2.164 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 2.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.164 * [taylor]: Taking taylor expansion of 1/2 in b 2.164 * [backup-simplify]: Simplify 1/2 into 1/2 2.164 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.164 * [taylor]: Taking taylor expansion of PI in b 2.164 * [backup-simplify]: Simplify PI into PI 2.164 * [taylor]: Taking taylor expansion of b in b 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 1 into 1 2.164 * [backup-simplify]: Simplify (/ PI 1) into PI 2.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.169 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.171 * [backup-simplify]: Simplify (- 0) into 0 2.171 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ 1 (- b))) into (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) 2.173 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in b 2.173 * [taylor]: Taking taylor expansion of 1/2 in b 2.173 * [backup-simplify]: Simplify 1/2 into 1/2 2.173 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in b 2.173 * [taylor]: Taking taylor expansion of (* b PI) in b 2.173 * [taylor]: Taking taylor expansion of b in b 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 1 into 1 2.173 * [taylor]: Taking taylor expansion of PI in b 2.173 * [backup-simplify]: Simplify PI into PI 2.173 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.173 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.173 * [taylor]: Taking taylor expansion of a in b 2.173 * [backup-simplify]: Simplify a into a 2.173 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.173 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.173 * [taylor]: Taking taylor expansion of b in b 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 1 into 1 2.173 * [backup-simplify]: Simplify (/ 1 1) into 1 2.173 * [backup-simplify]: Simplify (* 0 PI) into 0 2.174 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.175 * [backup-simplify]: Simplify (+ 0 1) into 1 2.175 * [backup-simplify]: Simplify (/ PI 1) into PI 2.175 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 2.175 * [taylor]: Taking taylor expansion of 1/2 in a 2.175 * [backup-simplify]: Simplify 1/2 into 1/2 2.175 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 2.175 * [taylor]: Taking taylor expansion of (* b PI) in a 2.175 * [taylor]: Taking taylor expansion of b in a 2.175 * [backup-simplify]: Simplify b into b 2.175 * [taylor]: Taking taylor expansion of PI in a 2.175 * [backup-simplify]: Simplify PI into PI 2.175 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.175 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.175 * [taylor]: Taking taylor expansion of a in a 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 1 into 1 2.175 * [backup-simplify]: Simplify (/ 1 1) into 1 2.175 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.175 * [taylor]: Taking taylor expansion of b in a 2.175 * [backup-simplify]: Simplify b into b 2.175 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.175 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.176 * [backup-simplify]: Simplify (+ 1 0) into 1 2.176 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.176 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 2.176 * [taylor]: Taking taylor expansion of 1/2 in a 2.176 * [backup-simplify]: Simplify 1/2 into 1/2 2.176 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 2.176 * [taylor]: Taking taylor expansion of (* b PI) in a 2.176 * [taylor]: Taking taylor expansion of b in a 2.176 * [backup-simplify]: Simplify b into b 2.176 * [taylor]: Taking taylor expansion of PI in a 2.176 * [backup-simplify]: Simplify PI into PI 2.176 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.176 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.176 * [taylor]: Taking taylor expansion of a in a 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 1 into 1 2.176 * [backup-simplify]: Simplify (/ 1 1) into 1 2.176 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.176 * [taylor]: Taking taylor expansion of b in a 2.176 * [backup-simplify]: Simplify b into b 2.176 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.176 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.177 * [backup-simplify]: Simplify (+ 1 0) into 1 2.177 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.177 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 2.177 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 2.177 * [taylor]: Taking taylor expansion of 1/2 in b 2.177 * [backup-simplify]: Simplify 1/2 into 1/2 2.177 * [taylor]: Taking taylor expansion of (* PI b) in b 2.177 * [taylor]: Taking taylor expansion of PI in b 2.177 * [backup-simplify]: Simplify PI into PI 2.177 * [taylor]: Taking taylor expansion of b in b 2.177 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify 1 into 1 2.177 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 2.178 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 2.179 * [backup-simplify]: Simplify (* PI 0) into 0 2.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.179 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 2.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.180 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 2.181 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 2.181 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 2.181 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.181 * [taylor]: Taking taylor expansion of 1/2 in b 2.181 * [backup-simplify]: Simplify 1/2 into 1/2 2.181 * [taylor]: Taking taylor expansion of PI in b 2.181 * [backup-simplify]: Simplify PI into PI 2.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.182 * [backup-simplify]: Simplify (- 0) into 0 2.182 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.184 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 2.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.185 * [backup-simplify]: Simplify (+ 0 0) into 0 2.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 2.186 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 2.186 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.186 * [taylor]: Taking taylor expansion of 1/2 in b 2.186 * [backup-simplify]: Simplify 1/2 into 1/2 2.186 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.187 * [taylor]: Taking taylor expansion of PI in b 2.187 * [backup-simplify]: Simplify PI into PI 2.187 * [taylor]: Taking taylor expansion of b in b 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify 1 into 1 2.187 * [backup-simplify]: Simplify (/ PI 1) into PI 2.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.189 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.190 * [backup-simplify]: Simplify (- 0) into 0 2.190 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * * * [progress]: simplifying candidates 2.192 * * * * [progress]: [ 1 / 586 ] simplifiying candidate # 2.192 * * * * [progress]: [ 2 / 586 ] simplifiying candidate # 2.192 * * * * [progress]: [ 3 / 586 ] simplifiying candidate # 2.192 * * * * [progress]: [ 4 / 586 ] simplifiying candidate # 2.192 * * * * [progress]: [ 5 / 586 ] simplifiying candidate # 2.192 * * * * [progress]: [ 6 / 586 ] simplifiying candidate # 2.192 * * * * [progress]: [ 7 / 586 ] simplifiying candidate # 2.193 * * * * [progress]: [ 8 / 586 ] simplifiying candidate # 2.193 * * * * [progress]: [ 9 / 586 ] simplifiying candidate # 2.193 * * * * [progress]: [ 10 / 586 ] simplifiying candidate # 2.193 * * * * [progress]: [ 11 / 586 ] simplifiying candidate # 2.193 * * * * [progress]: [ 12 / 586 ] simplifiying candidate # 2.193 * * * * [progress]: [ 13 / 586 ] simplifiying candidate # 2.193 * * * * [progress]: [ 14 / 586 ] simplifiying candidate # 2.193 * * * * 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] simplifiying candidate # 2.194 * * * * [progress]: [ 46 / 586 ] simplifiying candidate # 2.194 * * * * [progress]: [ 47 / 586 ] simplifiying candidate # 2.194 * * * * [progress]: [ 48 / 586 ] simplifiying candidate # 2.194 * * * * [progress]: [ 49 / 586 ] simplifiying candidate # 2.194 * * * * [progress]: [ 50 / 586 ] simplifiying candidate # 2.194 * * * * [progress]: [ 51 / 586 ] simplifiying candidate # 2.194 * * * * [progress]: [ 52 / 586 ] simplifiying candidate # 2.194 * * * * [progress]: [ 53 / 586 ] simplifiying candidate # 2.194 * * * * [progress]: [ 54 / 586 ] simplifiying candidate # 2.194 * * * * [progress]: [ 55 / 586 ] simplifiying candidate # 2.195 * * * * [progress]: [ 56 / 586 ] simplifiying candidate # 2.195 * * * * [progress]: [ 57 / 586 ] simplifiying candidate # 2.195 * * * * [progress]: [ 58 / 586 ] simplifiying candidate # 2.195 * * * * [progress]: [ 59 / 586 ] simplifiying candidate # 2.195 * * * * [progress]: [ 60 / 586 ] simplifiying candidate # 2.195 * * * * [progress]: [ 61 / 586 ] simplifiying candidate # 2.195 * * * * [progress]: [ 62 / 586 ] simplifiying candidate # 2.195 * * * * [progress]: [ 63 / 586 ] simplifiying candidate # 2.195 * * * * [progress]: [ 64 / 586 ] simplifiying candidate # 2.195 * * * * [progress]: [ 65 / 586 ] simplifiying candidate # 2.195 * * * * [progress]: [ 66 / 586 ] simplifiying candidate # 2.195 * * * * [progress]: [ 67 / 586 ] simplifiying candidate # 2.195 * * * * [progress]: [ 68 / 586 ] simplifiying candidate #real (real->posit16 (/ PI (+ a b)))) 2) a) (- (/ (/ (/ PI (+ a b)) 2) b))) (- b a)))> 2.195 * * * * [progress]: [ 69 / 586 ] simplifiying candidate # 2.195 * * * * [progress]: [ 70 / 586 ] simplifiying candidate # 2.195 * * * * [progress]: [ 71 / 586 ] simplifiying candidate # 2.195 * * * * [progress]: [ 72 / 586 ] simplifiying candidate # 2.195 * * * * [progress]: [ 73 / 586 ] simplifiying candidate # 2.195 * * * * [progress]: [ 74 / 586 ] simplifiying candidate # 2.195 * * * * [progress]: [ 75 / 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simplifiying candidate # 2.229 * * * * [progress]: [ 535 / 586 ] simplifiying candidate # 2.229 * * * * [progress]: [ 536 / 586 ] simplifiying candidate # 2.229 * * * * [progress]: [ 537 / 586 ] simplifiying candidate # 2.229 * * * * [progress]: [ 538 / 586 ] simplifiying candidate # 2.229 * * * * [progress]: [ 539 / 586 ] simplifiying candidate # 2.229 * * * * [progress]: [ 540 / 586 ] simplifiying candidate # 2.229 * * * * [progress]: [ 541 / 586 ] simplifiying candidate # 2.229 * * * * [progress]: [ 542 / 586 ] simplifiying candidate # 2.229 * * * * [progress]: [ 543 / 586 ] simplifiying candidate # 2.229 * * * * [progress]: [ 544 / 586 ] simplifiying candidate # 2.229 * * * * [progress]: [ 545 / 586 ] simplifiying candidate # 2.229 * * * * [progress]: [ 546 / 586 ] simplifiying candidate # 2.229 * * * * [progress]: [ 547 / 586 ] simplifiying candidate # 2.230 * * * * [progress]: [ 548 / 586 ] simplifiying candidate # 2.230 * * * * [progress]: [ 549 / 586 ] simplifiying candidate # 2.230 * * * * [progress]: [ 550 / 586 ] simplifiying candidate # 2.230 * * * * [progress]: [ 551 / 586 ] simplifiying candidate # 2.230 * * * * [progress]: [ 552 / 586 ] simplifiying candidate # 2.230 * * * * [progress]: [ 553 / 586 ] simplifiying candidate # 2.230 * * * * [progress]: [ 554 / 586 ] simplifiying candidate # 2.230 * * * * [progress]: [ 555 / 586 ] simplifiying candidate # 2.230 * * * * [progress]: [ 556 / 586 ] simplifiying candidate # 2.230 * * * * [progress]: [ 557 / 586 ] simplifiying candidate # 2.230 * * * * [progress]: [ 558 / 586 ] simplifiying candidate # 2.230 * * * * [progress]: [ 559 / 586 ] simplifiying candidate # 2.230 * * * * [progress]: [ 560 / 586 ] simplifiying candidate # 2.231 * * * * [progress]: [ 561 / 586 ] simplifiying candidate # 2.231 * * * * [progress]: [ 562 / 586 ] simplifiying candidate # 2.231 * * * * [progress]: [ 563 / 586 ] simplifiying candidate # 2.231 * * * * [progress]: [ 564 / 586 ] simplifiying candidate # 2.231 * * * * [progress]: [ 565 / 586 ] simplifiying candidate # 2.231 * * * * [progress]: [ 566 / 586 ] simplifiying candidate # 2.231 * * * * [progress]: [ 567 / 586 ] simplifiying candidate # 2.231 * * * * [progress]: [ 568 / 586 ] simplifiying candidate # 2.231 * * * * [progress]: [ 569 / 586 ] simplifiying candidate # 2.231 * * * * [progress]: [ 570 / 586 ] simplifiying candidate # 2.231 * * * * [progress]: [ 571 / 586 ] simplifiying candidate # 2.231 * * * * [progress]: [ 572 / 586 ] simplifiying candidate # 2.231 * * * * [progress]: [ 573 / 586 ] simplifiying candidate # 2.231 * * * * [progress]: [ 574 / 586 ] simplifiying candidate #real (real->posit16 (/ (/ (/ PI (+ a b)) 2) b))))) (- b a)))> 2.232 * * * * [progress]: [ 575 / 586 ] simplifiying candidate # 2.232 * * * * [progress]: [ 576 / 586 ] simplifiying candidate # 2.232 * * * * [progress]: [ 577 / 586 ] simplifiying candidate # 2.232 * * * * [progress]: [ 578 / 586 ] simplifiying candidate # 2.232 * * * * [progress]: [ 579 / 586 ] simplifiying candidate # 2.232 * * * * [progress]: [ 580 / 586 ] simplifiying candidate # 2.232 * * * * [progress]: [ 581 / 586 ] simplifiying candidate # 2.232 * * * * [progress]: [ 582 / 586 ] simplifiying candidate # 2.232 * * * * [progress]: [ 583 / 586 ] simplifiying candidate # 2.232 * * * * [progress]: [ 584 / 586 ] simplifiying candidate # 2.232 * * * * [progress]: [ 585 / 586 ] simplifiying candidate # 2.232 * * * * [progress]: [ 586 / 586 ] simplifiying candidate # 2.246 * [simplify]: Simplifying: (- (log PI) (log (+ a b))) (log (/ PI (+ a b))) (exp (/ PI (+ a b))) (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (cbrt (/ PI (+ a b))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (- PI) (- (+ a b)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt PI) (cbrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) (/ (cbrt PI) (sqrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (sqrt PI) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt PI) (cbrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ PI (sqrt (+ a b))) (/ 1 1) (/ PI (+ a b)) (/ 1 1) (/ PI (+ a b)) (/ 1 (+ a b)) (/ (+ a b) PI) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (sqrt (+ a b))) (/ PI 1) (/ PI 1) (/ (+ a b) (cbrt PI)) (/ (+ a b) (sqrt PI)) (/ (+ a b) PI) (/ PI (+ (pow a 3) (pow b 3))) (/ PI (- (* a a) (* b b))) (real->posit16 (/ PI (+ a b))) (- (log PI) (log (+ a b))) (log (/ PI (+ a b))) (exp (/ PI (+ a b))) (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (cbrt (/ PI (+ a b))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (- PI) (- (+ a b)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt PI) (cbrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) (/ (cbrt PI) (sqrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (sqrt PI) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt PI) (cbrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ PI (sqrt (+ a b))) (/ 1 1) (/ PI (+ a b)) (/ 1 1) (/ PI (+ a b)) (/ 1 (+ a b)) (/ (+ a b) PI) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (sqrt (+ a b))) (/ PI 1) (/ PI 1) (/ (+ a b) (cbrt PI)) (/ (+ a b) (sqrt PI)) (/ (+ a b) PI) (/ PI (+ (pow a 3) (pow b 3))) (/ PI (- (* a a) (* b b))) (real->posit16 (/ PI (+ a b))) (- (- (- (log PI) (log (+ a b))) (log 2)) (log a)) (- (- (log (/ PI (+ a b))) (log 2)) (log a)) (- (log (/ (/ PI (+ a b)) 2)) (log a)) (log (/ (/ (/ PI (+ a b)) 2) a)) (exp (/ (/ (/ PI (+ a b)) 2) a)) (/ (/ (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (* 2 2) 2)) (* (* a a) a)) (/ (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* 2 2) 2)) (* (* a a) a)) (/ (* (* (/ (/ PI (+ a b)) 2) (/ (/ PI (+ a b)) 2)) (/ (/ PI (+ a b)) 2)) (* (* a a) a)) (* (cbrt (/ (/ (/ PI (+ a b)) 2) a)) (cbrt (/ (/ (/ PI (+ a b)) 2) a))) (cbrt (/ (/ (/ PI (+ a b)) 2) a)) (* (* (/ (/ (/ PI (+ a b)) 2) a) (/ (/ (/ PI (+ a b)) 2) a)) (/ (/ (/ PI (+ a b)) 2) a)) (sqrt (/ (/ (/ PI (+ a b)) 2) a)) (sqrt (/ (/ (/ PI (+ a b)) 2) a)) (- (/ (/ PI (+ a b)) 2)) (- a) (/ (* (cbrt (/ (/ PI (+ a b)) 2)) (cbrt (/ (/ PI (+ a b)) 2))) (* (cbrt a) (cbrt a))) (/ (cbrt (/ (/ PI (+ a b)) 2)) (cbrt a)) (/ (* (cbrt (/ (/ PI (+ a b)) 2)) (cbrt (/ (/ PI (+ a b)) 2))) (sqrt a)) (/ (cbrt (/ (/ PI (+ a b)) 2)) (sqrt a)) (/ (* (cbrt (/ (/ PI (+ a b)) 2)) (cbrt (/ (/ PI (+ a b)) 2))) 1) (/ (cbrt (/ (/ PI (+ a b)) 2)) a) (/ 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b))) (sqrt 2))) (/ b (/ (/ (sqrt PI) (cbrt (+ a b))) 2)) (/ b (/ (/ (sqrt PI) (sqrt (+ a b))) (cbrt 2))) (/ b (/ (/ (sqrt PI) (sqrt (+ a b))) (sqrt 2))) (/ b (/ (/ (sqrt PI) (sqrt (+ a b))) 2)) (/ b (/ (/ (sqrt PI) (+ a b)) (cbrt 2))) (/ b (/ (/ (sqrt PI) (+ a b)) (sqrt 2))) (/ b (/ (/ (sqrt PI) (+ a b)) 2)) (/ b (/ (/ (sqrt PI) (+ a b)) (cbrt 2))) (/ b (/ (/ (sqrt PI) (+ a b)) (sqrt 2))) (/ b (/ (/ (sqrt PI) (+ a b)) 2)) (/ b (/ (/ PI (cbrt (+ a b))) (cbrt 2))) (/ b (/ (/ PI (cbrt (+ a b))) (sqrt 2))) (/ b (/ (/ PI (cbrt (+ a b))) 2)) (/ b (/ (/ PI (sqrt (+ a b))) (cbrt 2))) (/ b (/ (/ PI (sqrt (+ a b))) (sqrt 2))) (/ b (/ (/ PI (sqrt (+ a b))) 2)) (/ b (/ (/ PI (+ a b)) (cbrt 2))) (/ b (/ (/ PI (+ a b)) (sqrt 2))) (/ b (/ (/ PI (+ a b)) 2)) (/ b (/ (/ PI (+ a b)) (cbrt 2))) (/ b (/ (/ PI (+ a b)) (sqrt 2))) (/ b (/ (/ PI (+ a b)) 2)) (/ b (/ (/ PI (+ a b)) (cbrt 2))) (/ b (/ (/ PI (+ a b)) (sqrt 2))) (/ b (/ (/ PI (+ a b)) 2)) (/ b (/ (/ 1 (+ a b)) (cbrt 2))) (/ b (/ (/ 1 (+ a b)) (sqrt 2))) (/ b (/ (/ 1 (+ a b)) 2)) (/ b (/ (+ (* a a) (- (* b b) (* a b))) (cbrt 2))) (/ b (/ (+ (* a a) (- (* b b) (* a b))) (sqrt 2))) (/ b (/ (+ (* a a) (- (* b b) (* a b))) 2)) (/ b (/ (- a b) (cbrt 2))) (/ b (/ (- a b) (sqrt 2))) (/ b (/ (- a b) 2)) (/ b (/ (/ PI (+ a b)) 2)) (/ b (/ 1 2)) (* b 2) (real->posit16 (/ (/ (/ PI (+ a b)) 2) b)) 0 0 0 0 0 0 0 0 0 0 0 0 2.269 * * [simplify]: iteration 0: 812 enodes 2.563 * * [simplify]: iteration 1: 1841 enodes 3.347 * * [simplify]: iteration 2: 4922 enodes 4.552 * * [simplify]: iteration complete: 5000 enodes 4.553 * * [simplify]: Extracting #0: cost 624 inf + 0 4.562 * * [simplify]: Extracting #1: cost 1733 inf + 85 4.574 * * [simplify]: Extracting #2: cost 2060 inf + 4868 4.596 * * [simplify]: Extracting #3: cost 1348 inf + 145577 4.727 * * [simplify]: Extracting #4: cost 133 inf + 467449 4.841 * * [simplify]: Extracting #5: cost 0 inf + 503052 4.954 * * [simplify]: Extracting #6: cost 0 inf + 501524 5.057 * [simplify]: Simplified to: (log (/ PI (+ b a))) (log (/ PI (+ b a))) (exp (/ PI (+ b a))) (* (/ PI (+ b a)) (* (/ PI (+ b a)) (/ PI (+ b a)))) (* (cbrt (/ PI (+ b a))) (cbrt (/ PI (+ b a)))) (cbrt (/ PI (+ b a))) (* (/ PI (+ b a)) (* (/ PI (+ b a)) (/ PI (+ b a)))) (sqrt (/ PI (+ b a))) (sqrt (/ PI (+ b a))) (- PI) (- (- a) b) (* (/ (cbrt PI) (cbrt (+ b a))) (/ (cbrt PI) (cbrt (+ b a)))) (/ (cbrt PI) (cbrt (+ b a))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ b a))) (/ (cbrt PI) (sqrt (+ b a))) (* (cbrt PI) (cbrt PI)) (/ (cbrt PI) (+ b a)) (* (cbrt PI) (cbrt PI)) (/ (cbrt PI) (+ b a)) (/ (sqrt PI) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (sqrt PI) (cbrt (+ b a))) (/ (sqrt PI) (sqrt (+ b a))) (/ (sqrt PI) (sqrt (+ b a))) (sqrt PI) (/ (sqrt PI) (+ b a)) (sqrt PI) (/ (sqrt PI) (+ b a)) (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ PI (cbrt (+ b a))) (/ 1 (sqrt (+ b a))) (/ PI (sqrt (+ b a))) 1 (/ PI (+ b a)) 1 (/ PI (+ b a)) (/ 1 (+ b a)) (/ (+ b a) PI) (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ PI (sqrt (+ b a))) PI PI (/ 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(+ b a)) (sqrt b)) (sqrt 2)) (/ PI (sqrt 2)) (/ (/ (/ 1 (+ b a)) b) (sqrt 2)) (/ PI (* (cbrt b) (cbrt b))) (/ (/ 1/2 (+ b a)) (cbrt b)) (/ PI (sqrt b)) (/ (/ 1/2 (+ b a)) (sqrt b)) PI (/ (/ 1/2 (+ b a)) b) (/ (/ PI (+ (* (* b b) b) (* (* a a) a))) (* (* (cbrt 2) (cbrt b)) (* (cbrt 2) (cbrt b)))) (/ (+ (* a a) (* b (- b a))) (* (cbrt 2) (cbrt b))) (/ (/ (/ PI (+ (* (* b b) b) (* (* a a) a))) (* (cbrt 2) (cbrt 2))) (sqrt b)) (/ (+ (* a a) (* b (- b a))) (* (sqrt b) (cbrt 2))) (/ (/ PI (+ (* (* b b) b) (* (* a a) a))) (* (cbrt 2) (cbrt 2))) (/ (+ (* a a) (* b (- b a))) (* b (cbrt 2))) (/ (/ PI (+ (* (* b b) b) (* (* a a) a))) (* (* (cbrt b) (cbrt b)) (sqrt 2))) (/ (+ (* a a) (* b (- b a))) (* (cbrt b) (sqrt 2))) (/ (/ PI (+ (* (* b b) b) (* (* a a) a))) (* (sqrt 2) (sqrt b))) (/ (/ (+ (* a a) (* b (- b a))) (sqrt 2)) (sqrt b)) (/ (/ PI (+ (* (* b b) b) (* (* a a) a))) (sqrt 2)) (/ (/ (+ (* a a) (* b (- b a))) b) (sqrt 2)) (/ (/ PI (+ (* (* b b) b) (* (* a a) a))) (* (cbrt b) (cbrt b))) (/ 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(+ b a)) (cbrt b)) (/ 1 (sqrt b)) (/ (/ (/ PI 2) (+ b a)) (sqrt b)) 1 (/ (/ (/ PI 2) (+ b a)) b) (/ (/ PI (* (cbrt b) (cbrt b))) (+ b a)) (/ 1/2 (cbrt b)) (/ PI (* (+ b a) (sqrt b))) (/ 1/2 (sqrt b)) (/ PI (+ b a)) (/ 1/2 b) (/ 1 b) (/ (* b 2) (/ PI (+ b a))) (/ (/ (/ PI 2) (+ b a)) (* (cbrt b) (cbrt b))) (/ (/ (/ PI 2) (+ b a)) (sqrt b)) (/ (/ PI 2) (+ b a)) (/ b (cbrt (/ (/ PI 2) (+ b a)))) (/ b (sqrt (/ (/ PI 2) (+ b a)))) (/ (* b (cbrt 2)) (cbrt (/ PI (+ b a)))) (/ (* b (sqrt 2)) (cbrt (/ PI (+ b a)))) (/ (* b 2) (cbrt (/ PI (+ b a)))) (/ (* b (cbrt 2)) (sqrt (/ PI (+ b a)))) (/ (* b (sqrt 2)) (sqrt (/ PI (+ b a)))) (/ (* b 2) (sqrt (/ PI (+ b a)))) (* (cbrt 2) (* (/ b (cbrt PI)) (cbrt (+ b a)))) (/ (* b (sqrt 2)) (/ (cbrt PI) (cbrt (+ b a)))) (/ b (/ (cbrt PI) (* (cbrt (+ b a)) 2))) (/ (* b (cbrt 2)) (/ (cbrt PI) (sqrt (+ b a)))) (/ (* b (sqrt 2)) (/ (cbrt PI) (sqrt (+ b a)))) (/ (* b 2) (/ (cbrt PI) (sqrt (+ b a)))) (/ b (/ (/ (cbrt PI) (cbrt 2)) (+ b a))) (/ (* b (sqrt 2)) (/ (cbrt PI) (+ b a))) (/ (* b 2) (/ (cbrt PI) (+ b a))) (/ b (/ (/ (cbrt PI) (cbrt 2)) (+ b a))) (/ (* b (sqrt 2)) (/ (cbrt PI) (+ b a))) (/ (* b 2) (/ (cbrt PI) (+ b a))) (/ (* b (cbrt 2)) (/ (sqrt PI) (cbrt (+ b a)))) (/ (* b (sqrt 2)) (/ (sqrt PI) (cbrt (+ b a)))) (/ b (/ (/ (sqrt PI) (cbrt (+ b a))) 2)) (/ (* b (cbrt 2)) (/ (sqrt PI) (sqrt (+ b a)))) (/ (* b (sqrt 2)) (/ (sqrt PI) (sqrt (+ b a)))) (* (* (/ b (sqrt PI)) (sqrt (+ b a))) 2) (/ (* b (cbrt 2)) (/ (sqrt PI) (+ b a))) (/ (* b (sqrt 2)) (/ (sqrt PI) (+ b a))) (* (* (/ b (sqrt PI)) (+ b a)) 2) (/ (* b (cbrt 2)) (/ (sqrt PI) (+ b a))) (/ (* b (sqrt 2)) (/ (sqrt PI) (+ b a))) (* (* (/ b (sqrt PI)) (+ b a)) 2) (* (cbrt 2) (/ b (/ PI (cbrt (+ b a))))) (* (/ b (/ PI (cbrt (+ b a)))) (sqrt 2)) (/ b (/ (/ PI (cbrt (+ b a))) 2)) (* (cbrt 2) (/ b (/ PI (sqrt (+ b a))))) (* (sqrt 2) (/ b (/ PI (sqrt (+ b a))))) (* (/ b (/ PI (sqrt (+ b a)))) 2) (* (cbrt 2) (/ b (/ PI (+ b a)))) (/ (* b (sqrt 2)) (/ PI (+ b a))) (/ (* b 2) (/ PI (+ b a))) (* (cbrt 2) (/ b (/ PI (+ b a)))) (/ (* b (sqrt 2)) (/ PI (+ b a))) (/ (* b 2) (/ PI (+ b a))) (* (cbrt 2) (/ b (/ PI (+ b a)))) (/ (* b (sqrt 2)) (/ PI (+ b a))) (/ (* b 2) (/ PI (+ b a))) (* (* (/ b 1) (+ b a)) (cbrt 2)) (/ (* b (sqrt 2)) (/ 1 (+ b a))) (/ b (/ 1/2 (+ b a))) (* (/ b (+ (* a a) (* b (- b a)))) (cbrt 2)) (/ (* b (sqrt 2)) (+ (* a a) (* b (- b a)))) (/ (* b 2) (+ (* a a) (* b (- b a)))) (* (cbrt 2) (/ b (- a b))) (/ (* b (sqrt 2)) (- a b)) (/ b (/ (- a b) 2)) (/ (* b 2) (/ PI (+ b a))) (* b 2) (* b 2) (real->posit16 (/ (/ (/ PI 2) (+ b a)) b)) 0 0 0 0 0 0 0 0 0 0 0 0 5.214 * * * [progress]: adding candidates to table 8.599 * * [progress]: iteration 2 / 4 8.599 * * * [progress]: picking best candidate 8.633 * * * * [pick]: Picked # 8.633 * * * [progress]: localizing error 8.664 * * * [progress]: generating rewritten candidates 8.664 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 8.698 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 2 2 1) 8.721 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 8.736 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 8.836 * * * [progress]: generating series expansions 8.836 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 8.836 * [backup-simplify]: Simplify (/ 1 (/ b (/ (/ PI (+ a b)) 2))) into (* 1/2 (/ PI (* (+ a b) b))) 8.836 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* (+ a b) b))) in (b a) around 0 8.836 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* (+ a b) b))) in a 8.836 * [taylor]: Taking taylor expansion of 1/2 in a 8.836 * [backup-simplify]: Simplify 1/2 into 1/2 8.836 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) b)) in a 8.836 * [taylor]: Taking taylor expansion of PI in a 8.836 * [backup-simplify]: Simplify PI into PI 8.836 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 8.836 * [taylor]: Taking taylor expansion of (+ a b) in a 8.836 * [taylor]: Taking taylor expansion of a in a 8.836 * [backup-simplify]: Simplify 0 into 0 8.836 * [backup-simplify]: Simplify 1 into 1 8.836 * [taylor]: Taking taylor expansion of b in a 8.836 * [backup-simplify]: Simplify b into b 8.836 * [taylor]: Taking taylor expansion of b in a 8.836 * [backup-simplify]: Simplify b into b 8.836 * [backup-simplify]: Simplify (+ 0 b) into b 8.836 * [backup-simplify]: Simplify (* b b) into (pow b 2) 8.836 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 8.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* (+ a b) b))) in b 8.837 * [taylor]: Taking taylor expansion of 1/2 in b 8.837 * [backup-simplify]: Simplify 1/2 into 1/2 8.837 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) b)) in b 8.837 * [taylor]: Taking taylor expansion of PI in b 8.837 * [backup-simplify]: Simplify PI into PI 8.837 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 8.837 * [taylor]: Taking taylor expansion of (+ a b) in b 8.837 * [taylor]: Taking taylor expansion of a in b 8.837 * [backup-simplify]: Simplify a into a 8.837 * [taylor]: Taking taylor expansion of b in b 8.837 * [backup-simplify]: Simplify 0 into 0 8.837 * [backup-simplify]: Simplify 1 into 1 8.837 * [taylor]: Taking taylor expansion of b in b 8.837 * [backup-simplify]: Simplify 0 into 0 8.837 * [backup-simplify]: Simplify 1 into 1 8.837 * [backup-simplify]: Simplify (+ a 0) into a 8.837 * [backup-simplify]: Simplify (* a 0) into 0 8.837 * [backup-simplify]: Simplify (+ 0 1) into 1 8.838 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 8.838 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 8.838 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* (+ a b) b))) in b 8.838 * [taylor]: Taking taylor expansion of 1/2 in b 8.838 * [backup-simplify]: Simplify 1/2 into 1/2 8.838 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) b)) in b 8.838 * [taylor]: Taking taylor expansion of PI in b 8.838 * [backup-simplify]: Simplify PI into PI 8.838 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 8.838 * [taylor]: Taking taylor expansion of (+ a b) in b 8.838 * [taylor]: Taking taylor expansion of a in b 8.838 * [backup-simplify]: Simplify a into a 8.838 * [taylor]: Taking taylor expansion of b in b 8.838 * [backup-simplify]: Simplify 0 into 0 8.838 * [backup-simplify]: Simplify 1 into 1 8.838 * [taylor]: Taking taylor expansion of b in b 8.838 * [backup-simplify]: Simplify 0 into 0 8.838 * [backup-simplify]: Simplify 1 into 1 8.838 * [backup-simplify]: Simplify (+ a 0) into a 8.838 * [backup-simplify]: Simplify (* a 0) into 0 8.838 * [backup-simplify]: Simplify (+ 0 1) into 1 8.839 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 8.839 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 8.839 * [backup-simplify]: Simplify (* 1/2 (/ PI a)) into (* 1/2 (/ PI a)) 8.839 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 8.839 * [taylor]: Taking taylor expansion of 1/2 in a 8.839 * [backup-simplify]: Simplify 1/2 into 1/2 8.839 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.839 * [taylor]: Taking taylor expansion of PI in a 8.839 * [backup-simplify]: Simplify PI into PI 8.839 * [taylor]: Taking taylor expansion of a in a 8.839 * [backup-simplify]: Simplify 0 into 0 8.839 * [backup-simplify]: Simplify 1 into 1 8.839 * [backup-simplify]: Simplify (/ PI 1) into PI 8.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.841 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 8.841 * [backup-simplify]: Simplify 0 into 0 8.841 * [backup-simplify]: Simplify (+ 0 0) into 0 8.841 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 1) (* 0 0))) into 1 8.841 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 1 a)))) into (- (/ PI (pow a 2))) 8.842 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow a 2)))) (* 0 (/ PI a))) into (- (* 1/2 (/ PI (pow a 2)))) 8.842 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 2)))) in a 8.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a 8.842 * [taylor]: Taking taylor expansion of 1/2 in a 8.842 * [backup-simplify]: Simplify 1/2 into 1/2 8.842 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.842 * [taylor]: Taking taylor expansion of PI in a 8.842 * [backup-simplify]: Simplify PI into PI 8.842 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.842 * [taylor]: Taking taylor expansion of a in a 8.842 * [backup-simplify]: Simplify 0 into 0 8.842 * [backup-simplify]: Simplify 1 into 1 8.842 * [backup-simplify]: Simplify (* 1 1) into 1 8.842 * [backup-simplify]: Simplify (/ PI 1) into PI 8.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.846 * [backup-simplify]: Simplify (- 0) into 0 8.846 * [backup-simplify]: Simplify 0 into 0 8.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.847 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.847 * [backup-simplify]: Simplify 0 into 0 8.847 * [backup-simplify]: Simplify (+ 0 0) into 0 8.848 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.848 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* (- (/ PI (pow a 2))) (/ 1 a)))) into (/ PI (pow a 3)) 8.848 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow a 3))) (+ (* 0 (- (/ PI (pow a 2)))) (* 0 (/ PI a)))) into (* 1/2 (/ PI (pow a 3))) 8.848 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 3))) in a 8.848 * [taylor]: Taking taylor expansion of 1/2 in a 8.848 * [backup-simplify]: Simplify 1/2 into 1/2 8.848 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 8.848 * [taylor]: Taking taylor expansion of PI in a 8.848 * [backup-simplify]: Simplify PI into PI 8.848 * [taylor]: Taking taylor expansion of (pow a 3) in a 8.848 * [taylor]: Taking taylor expansion of a in a 8.848 * [backup-simplify]: Simplify 0 into 0 8.848 * [backup-simplify]: Simplify 1 into 1 8.849 * [backup-simplify]: Simplify (* 1 1) into 1 8.849 * [backup-simplify]: Simplify (* 1 1) into 1 8.849 * [backup-simplify]: Simplify (/ PI 1) into PI 8.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.856 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.856 * [backup-simplify]: Simplify 0 into 0 8.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.860 * [backup-simplify]: Simplify (- 0) into 0 8.860 * [backup-simplify]: Simplify 0 into 0 8.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.862 * [backup-simplify]: Simplify 0 into 0 8.862 * [backup-simplify]: Simplify 0 into 0 8.862 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 b) (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2))) into (* 1/2 (/ (* PI b) (+ (/ 1 a) (/ 1 b)))) 8.863 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI b) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 8.863 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (+ (/ 1 a) (/ 1 b)))) in a 8.863 * [taylor]: Taking taylor expansion of 1/2 in a 8.863 * [backup-simplify]: Simplify 1/2 into 1/2 8.863 * [taylor]: Taking taylor expansion of (/ (* PI b) (+ (/ 1 a) (/ 1 b))) in a 8.863 * [taylor]: Taking taylor expansion of (* PI b) in a 8.863 * [taylor]: Taking taylor expansion of PI in a 8.863 * [backup-simplify]: Simplify PI into PI 8.863 * [taylor]: Taking taylor expansion of b in a 8.863 * [backup-simplify]: Simplify b into b 8.863 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.863 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.863 * [taylor]: Taking taylor expansion of a in a 8.863 * [backup-simplify]: Simplify 0 into 0 8.863 * [backup-simplify]: Simplify 1 into 1 8.863 * [backup-simplify]: Simplify (/ 1 1) into 1 8.863 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.863 * [taylor]: Taking taylor expansion of b in a 8.863 * [backup-simplify]: Simplify b into b 8.863 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.864 * [backup-simplify]: Simplify (* PI b) into (* b PI) 8.864 * [backup-simplify]: Simplify (+ 1 0) into 1 8.864 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 8.864 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (+ (/ 1 a) (/ 1 b)))) in b 8.864 * [taylor]: Taking taylor expansion of 1/2 in b 8.864 * [backup-simplify]: Simplify 1/2 into 1/2 8.864 * [taylor]: Taking taylor expansion of (/ (* PI b) (+ (/ 1 a) (/ 1 b))) in b 8.864 * [taylor]: Taking taylor expansion of (* PI b) in b 8.864 * [taylor]: Taking taylor expansion of PI in b 8.864 * [backup-simplify]: Simplify PI into PI 8.864 * [taylor]: Taking taylor expansion of b in b 8.864 * [backup-simplify]: Simplify 0 into 0 8.864 * [backup-simplify]: Simplify 1 into 1 8.864 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.864 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.864 * [taylor]: Taking taylor expansion of a in b 8.864 * [backup-simplify]: Simplify a into a 8.864 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.864 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.865 * [taylor]: Taking taylor expansion of b in b 8.865 * [backup-simplify]: Simplify 0 into 0 8.865 * [backup-simplify]: Simplify 1 into 1 8.865 * [backup-simplify]: Simplify (/ 1 1) into 1 8.865 * [backup-simplify]: Simplify (* PI 0) into 0 8.867 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 8.867 * [backup-simplify]: Simplify (+ 0 1) into 1 8.868 * [backup-simplify]: Simplify (/ PI 1) into PI 8.868 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (+ (/ 1 a) (/ 1 b)))) in b 8.868 * [taylor]: Taking taylor expansion of 1/2 in b 8.868 * [backup-simplify]: Simplify 1/2 into 1/2 8.868 * [taylor]: Taking taylor expansion of (/ (* PI b) (+ (/ 1 a) (/ 1 b))) in b 8.868 * [taylor]: Taking taylor expansion of (* PI b) in b 8.868 * [taylor]: Taking taylor expansion of PI in b 8.868 * [backup-simplify]: Simplify PI into PI 8.868 * [taylor]: Taking taylor expansion of b in b 8.868 * [backup-simplify]: Simplify 0 into 0 8.868 * [backup-simplify]: Simplify 1 into 1 8.868 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.868 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.868 * [taylor]: Taking taylor expansion of a in b 8.868 * [backup-simplify]: Simplify a into a 8.868 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.868 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.868 * [taylor]: Taking taylor expansion of b in b 8.868 * [backup-simplify]: Simplify 0 into 0 8.868 * [backup-simplify]: Simplify 1 into 1 8.869 * [backup-simplify]: Simplify (/ 1 1) into 1 8.869 * [backup-simplify]: Simplify (* PI 0) into 0 8.871 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 8.871 * [backup-simplify]: Simplify (+ 0 1) into 1 8.872 * [backup-simplify]: Simplify (/ PI 1) into PI 8.872 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 8.872 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 8.872 * [taylor]: Taking taylor expansion of 1/2 in a 8.873 * [backup-simplify]: Simplify 1/2 into 1/2 8.873 * [taylor]: Taking taylor expansion of PI in a 8.873 * [backup-simplify]: Simplify PI into PI 8.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 8.873 * [backup-simplify]: Simplify 0 into 0 8.874 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 8.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.875 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 8.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 8.876 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI a))) (* 0 PI)) into (- (* 1/2 (/ PI a))) 8.876 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a 8.876 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 8.877 * [taylor]: Taking taylor expansion of 1/2 in a 8.877 * [backup-simplify]: Simplify 1/2 into 1/2 8.877 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.877 * [taylor]: Taking taylor expansion of PI in a 8.877 * [backup-simplify]: Simplify PI into PI 8.877 * [taylor]: Taking taylor expansion of a in a 8.877 * [backup-simplify]: Simplify 0 into 0 8.877 * [backup-simplify]: Simplify 1 into 1 8.877 * [backup-simplify]: Simplify (/ PI 1) into PI 8.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.881 * [backup-simplify]: Simplify (- 0) into 0 8.881 * [backup-simplify]: Simplify 0 into 0 8.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.882 * [backup-simplify]: Simplify 0 into 0 8.883 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.884 * [backup-simplify]: Simplify (+ 0 0) into 0 8.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 8.885 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (* 1/2 (/ PI (pow a 2))) 8.885 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a 8.885 * [taylor]: Taking taylor expansion of 1/2 in a 8.885 * [backup-simplify]: Simplify 1/2 into 1/2 8.885 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.885 * [taylor]: Taking taylor expansion of PI in a 8.885 * [backup-simplify]: Simplify PI into PI 8.885 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.885 * [taylor]: Taking taylor expansion of a in a 8.885 * [backup-simplify]: Simplify 0 into 0 8.885 * [backup-simplify]: Simplify 1 into 1 8.885 * [backup-simplify]: Simplify (* 1 1) into 1 8.886 * [backup-simplify]: Simplify (/ PI 1) into PI 8.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.890 * [backup-simplify]: Simplify 0 into 0 8.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.892 * [backup-simplify]: Simplify (- 0) into 0 8.892 * [backup-simplify]: Simplify 0 into 0 8.892 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.892 * [backup-simplify]: Simplify 0 into 0 8.892 * [backup-simplify]: Simplify 0 into 0 8.893 * [backup-simplify]: Simplify (/ 1 (/ (/ 1 (- b)) (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2))) into (* 1/2 (/ (* PI b) (+ (/ 1 a) (/ 1 b)))) 8.893 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI b) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 8.893 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (+ (/ 1 a) (/ 1 b)))) in a 8.893 * [taylor]: Taking taylor expansion of 1/2 in a 8.893 * [backup-simplify]: Simplify 1/2 into 1/2 8.893 * [taylor]: Taking taylor expansion of (/ (* PI b) (+ (/ 1 a) (/ 1 b))) in a 8.893 * [taylor]: Taking taylor expansion of (* PI b) in a 8.893 * [taylor]: Taking taylor expansion of PI in a 8.893 * [backup-simplify]: Simplify PI into PI 8.893 * [taylor]: Taking taylor expansion of b in a 8.893 * [backup-simplify]: Simplify b into b 8.893 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.893 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.893 * [taylor]: Taking taylor expansion of a in a 8.893 * [backup-simplify]: Simplify 0 into 0 8.893 * [backup-simplify]: Simplify 1 into 1 8.893 * [backup-simplify]: Simplify (/ 1 1) into 1 8.893 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.893 * [taylor]: Taking taylor expansion of b in a 8.893 * [backup-simplify]: Simplify b into b 8.893 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.893 * [backup-simplify]: Simplify (* PI b) into (* b PI) 8.893 * [backup-simplify]: Simplify (+ 1 0) into 1 8.893 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 8.893 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (+ (/ 1 a) (/ 1 b)))) in b 8.894 * [taylor]: Taking taylor expansion of 1/2 in b 8.894 * [backup-simplify]: Simplify 1/2 into 1/2 8.894 * [taylor]: Taking taylor expansion of (/ (* PI b) (+ (/ 1 a) (/ 1 b))) in b 8.894 * [taylor]: Taking taylor expansion of (* PI b) in b 8.894 * [taylor]: Taking taylor expansion of PI in b 8.894 * [backup-simplify]: Simplify PI into PI 8.894 * [taylor]: Taking taylor expansion of b in b 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify 1 into 1 8.894 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.894 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.894 * [taylor]: Taking taylor expansion of a in b 8.894 * [backup-simplify]: Simplify a into a 8.894 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.894 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.894 * [taylor]: Taking taylor expansion of b in b 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify 1 into 1 8.894 * [backup-simplify]: Simplify (/ 1 1) into 1 8.894 * [backup-simplify]: Simplify (* PI 0) into 0 8.895 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 8.896 * [backup-simplify]: Simplify (+ 0 1) into 1 8.896 * [backup-simplify]: Simplify (/ PI 1) into PI 8.896 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (+ (/ 1 a) (/ 1 b)))) in b 8.896 * [taylor]: Taking taylor expansion of 1/2 in b 8.896 * [backup-simplify]: Simplify 1/2 into 1/2 8.896 * [taylor]: Taking taylor expansion of (/ (* PI b) (+ (/ 1 a) (/ 1 b))) in b 8.896 * [taylor]: Taking taylor expansion of (* PI b) in b 8.896 * [taylor]: Taking taylor expansion of PI in b 8.896 * [backup-simplify]: Simplify PI into PI 8.896 * [taylor]: Taking taylor expansion of b in b 8.896 * [backup-simplify]: Simplify 0 into 0 8.896 * [backup-simplify]: Simplify 1 into 1 8.896 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.896 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.896 * [taylor]: Taking taylor expansion of a in b 8.896 * [backup-simplify]: Simplify a into a 8.896 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.896 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.896 * [taylor]: Taking taylor expansion of b in b 8.896 * [backup-simplify]: Simplify 0 into 0 8.896 * [backup-simplify]: Simplify 1 into 1 8.896 * [backup-simplify]: Simplify (/ 1 1) into 1 8.897 * [backup-simplify]: Simplify (* PI 0) into 0 8.898 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 8.898 * [backup-simplify]: Simplify (+ 0 1) into 1 8.898 * [backup-simplify]: Simplify (/ PI 1) into PI 8.899 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 8.899 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 8.899 * [taylor]: Taking taylor expansion of 1/2 in a 8.899 * [backup-simplify]: Simplify 1/2 into 1/2 8.899 * [taylor]: Taking taylor expansion of PI in a 8.899 * [backup-simplify]: Simplify PI into PI 8.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 8.899 * [backup-simplify]: Simplify 0 into 0 8.900 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 8.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.901 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 8.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 8.901 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI a))) (* 0 PI)) into (- (* 1/2 (/ PI a))) 8.901 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a 8.901 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 8.901 * [taylor]: Taking taylor expansion of 1/2 in a 8.901 * [backup-simplify]: Simplify 1/2 into 1/2 8.902 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.902 * [taylor]: Taking taylor expansion of PI in a 8.902 * [backup-simplify]: Simplify PI into PI 8.902 * [taylor]: Taking taylor expansion of a in a 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 1 into 1 8.902 * [backup-simplify]: Simplify (/ PI 1) into PI 8.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.904 * [backup-simplify]: Simplify (- 0) into 0 8.904 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.906 * [backup-simplify]: Simplify (+ 0 0) into 0 8.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 8.908 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (* 1/2 (/ PI (pow a 2))) 8.908 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a 8.908 * [taylor]: Taking taylor expansion of 1/2 in a 8.908 * [backup-simplify]: Simplify 1/2 into 1/2 8.908 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.908 * [taylor]: Taking taylor expansion of PI in a 8.908 * [backup-simplify]: Simplify PI into PI 8.908 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.908 * [taylor]: Taking taylor expansion of a in a 8.908 * [backup-simplify]: Simplify 0 into 0 8.908 * [backup-simplify]: Simplify 1 into 1 8.908 * [backup-simplify]: Simplify (* 1 1) into 1 8.908 * [backup-simplify]: Simplify (/ PI 1) into PI 8.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.922 * [backup-simplify]: Simplify 0 into 0 8.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.923 * [backup-simplify]: Simplify (- 0) into 0 8.923 * [backup-simplify]: Simplify 0 into 0 8.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.924 * [backup-simplify]: Simplify 0 into 0 8.924 * [backup-simplify]: Simplify 0 into 0 8.924 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 2 2 1) 8.924 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 8.924 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 8.924 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 8.924 * [taylor]: Taking taylor expansion of PI in b 8.924 * [backup-simplify]: Simplify PI into PI 8.924 * [taylor]: Taking taylor expansion of (+ a b) in b 8.924 * [taylor]: Taking taylor expansion of a in b 8.924 * [backup-simplify]: Simplify a into a 8.924 * [taylor]: Taking taylor expansion of b in b 8.924 * [backup-simplify]: Simplify 0 into 0 8.924 * [backup-simplify]: Simplify 1 into 1 8.924 * [backup-simplify]: Simplify (+ a 0) into a 8.924 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 8.924 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 8.925 * [taylor]: Taking taylor expansion of PI in a 8.925 * [backup-simplify]: Simplify PI into PI 8.925 * [taylor]: Taking taylor expansion of (+ a b) in a 8.925 * [taylor]: Taking taylor expansion of a in a 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify 1 into 1 8.925 * [taylor]: Taking taylor expansion of b in a 8.925 * [backup-simplify]: Simplify b into b 8.925 * [backup-simplify]: Simplify (+ 0 b) into b 8.925 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.925 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 8.925 * [taylor]: Taking taylor expansion of PI in a 8.925 * [backup-simplify]: Simplify PI into PI 8.925 * [taylor]: Taking taylor expansion of (+ a b) in a 8.925 * [taylor]: Taking taylor expansion of a in a 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify 1 into 1 8.925 * [taylor]: Taking taylor expansion of b in a 8.925 * [backup-simplify]: Simplify b into b 8.925 * [backup-simplify]: Simplify (+ 0 b) into b 8.925 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.925 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.925 * [taylor]: Taking taylor expansion of PI in b 8.925 * [backup-simplify]: Simplify PI into PI 8.925 * [taylor]: Taking taylor expansion of b in b 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify 1 into 1 8.925 * [backup-simplify]: Simplify (/ PI 1) into PI 8.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify (+ 1 0) into 1 8.926 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 8.926 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 8.926 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.926 * [taylor]: Taking taylor expansion of PI in b 8.926 * [backup-simplify]: Simplify PI into PI 8.926 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.926 * [taylor]: Taking taylor expansion of b in b 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 1 into 1 8.927 * [backup-simplify]: Simplify (* 1 1) into 1 8.927 * [backup-simplify]: Simplify (/ PI 1) into PI 8.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.929 * [backup-simplify]: Simplify (- 0) into 0 8.929 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.930 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify (+ 0 0) into 0 8.931 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 8.931 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 8.931 * [taylor]: Taking taylor expansion of PI in b 8.931 * [backup-simplify]: Simplify PI into PI 8.931 * [taylor]: Taking taylor expansion of (pow b 3) in b 8.931 * [taylor]: Taking taylor expansion of b in b 8.931 * [backup-simplify]: Simplify 0 into 0 8.931 * [backup-simplify]: Simplify 1 into 1 8.931 * [backup-simplify]: Simplify (* 1 1) into 1 8.931 * [backup-simplify]: Simplify (* 1 1) into 1 8.931 * [backup-simplify]: Simplify (/ PI 1) into PI 8.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.938 * [backup-simplify]: Simplify 0 into 0 8.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.941 * [backup-simplify]: Simplify (- 0) into 0 8.941 * [backup-simplify]: Simplify 0 into 0 8.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.942 * [backup-simplify]: Simplify 0 into 0 8.942 * [backup-simplify]: Simplify 0 into 0 8.942 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 8.942 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 8.942 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 8.942 * [taylor]: Taking taylor expansion of PI in b 8.942 * [backup-simplify]: Simplify PI into PI 8.942 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.942 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.942 * [taylor]: Taking taylor expansion of a in b 8.942 * [backup-simplify]: Simplify a into a 8.942 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.942 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.942 * [taylor]: Taking taylor expansion of b in b 8.942 * [backup-simplify]: Simplify 0 into 0 8.942 * [backup-simplify]: Simplify 1 into 1 8.943 * [backup-simplify]: Simplify (/ 1 1) into 1 8.943 * [backup-simplify]: Simplify (+ 0 1) into 1 8.944 * [backup-simplify]: Simplify (/ PI 1) into PI 8.944 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.944 * [taylor]: Taking taylor expansion of PI in a 8.944 * [backup-simplify]: Simplify PI into PI 8.944 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.944 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.944 * [taylor]: Taking taylor expansion of a in a 8.944 * [backup-simplify]: Simplify 0 into 0 8.944 * [backup-simplify]: Simplify 1 into 1 8.944 * [backup-simplify]: Simplify (/ 1 1) into 1 8.944 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.944 * [taylor]: Taking taylor expansion of b in a 8.945 * [backup-simplify]: Simplify b into b 8.945 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.945 * [backup-simplify]: Simplify (+ 1 0) into 1 8.945 * [backup-simplify]: Simplify (/ PI 1) into PI 8.946 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.946 * [taylor]: Taking taylor expansion of PI in a 8.946 * [backup-simplify]: Simplify PI into PI 8.946 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.946 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.946 * [taylor]: Taking taylor expansion of a in a 8.946 * [backup-simplify]: Simplify 0 into 0 8.946 * [backup-simplify]: Simplify 1 into 1 8.946 * [backup-simplify]: Simplify (/ 1 1) into 1 8.946 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.946 * [taylor]: Taking taylor expansion of b in a 8.946 * [backup-simplify]: Simplify b into b 8.946 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.947 * [backup-simplify]: Simplify (+ 1 0) into 1 8.947 * [backup-simplify]: Simplify (/ PI 1) into PI 8.947 * [taylor]: Taking taylor expansion of PI in b 8.947 * [backup-simplify]: Simplify PI into PI 8.947 * [backup-simplify]: Simplify 0 into 0 8.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.948 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 8.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 8.949 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 8.949 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.949 * [taylor]: Taking taylor expansion of PI in b 8.949 * [backup-simplify]: Simplify PI into PI 8.949 * [taylor]: Taking taylor expansion of b in b 8.949 * [backup-simplify]: Simplify 0 into 0 8.949 * [backup-simplify]: Simplify 1 into 1 8.949 * [backup-simplify]: Simplify (/ PI 1) into PI 8.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.952 * [backup-simplify]: Simplify (- 0) into 0 8.952 * [backup-simplify]: Simplify 0 into 0 8.952 * [backup-simplify]: Simplify 0 into 0 8.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.953 * [backup-simplify]: Simplify (+ 0 0) into 0 8.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 8.955 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.955 * [taylor]: Taking taylor expansion of PI in b 8.955 * [backup-simplify]: Simplify PI into PI 8.955 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.955 * [taylor]: Taking taylor expansion of b in b 8.955 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify 1 into 1 8.955 * [backup-simplify]: Simplify (* 1 1) into 1 8.956 * [backup-simplify]: Simplify (/ PI 1) into PI 8.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.962 * [backup-simplify]: Simplify 0 into 0 8.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.963 * [backup-simplify]: Simplify (- 0) into 0 8.963 * [backup-simplify]: Simplify 0 into 0 8.963 * [backup-simplify]: Simplify 0 into 0 8.963 * [backup-simplify]: Simplify 0 into 0 8.964 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 8.964 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 8.964 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 8.964 * [taylor]: Taking taylor expansion of -1 in b 8.964 * [backup-simplify]: Simplify -1 into -1 8.964 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 8.964 * [taylor]: Taking taylor expansion of PI in b 8.964 * [backup-simplify]: Simplify PI into PI 8.964 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.964 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.964 * [taylor]: Taking taylor expansion of a in b 8.964 * [backup-simplify]: Simplify a into a 8.964 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.964 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.964 * [taylor]: Taking taylor expansion of b in b 8.964 * [backup-simplify]: Simplify 0 into 0 8.964 * [backup-simplify]: Simplify 1 into 1 8.964 * [backup-simplify]: Simplify (/ 1 1) into 1 8.965 * [backup-simplify]: Simplify (+ 0 1) into 1 8.966 * [backup-simplify]: Simplify (/ PI 1) into PI 8.966 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 8.966 * [taylor]: Taking taylor expansion of -1 in a 8.966 * [backup-simplify]: Simplify -1 into -1 8.966 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.966 * [taylor]: Taking taylor expansion of PI in a 8.966 * [backup-simplify]: Simplify PI into PI 8.966 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.966 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.966 * [taylor]: Taking taylor expansion of a in a 8.966 * [backup-simplify]: Simplify 0 into 0 8.966 * [backup-simplify]: Simplify 1 into 1 8.966 * [backup-simplify]: Simplify (/ 1 1) into 1 8.966 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.966 * [taylor]: Taking taylor expansion of b in a 8.966 * [backup-simplify]: Simplify b into b 8.966 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.967 * [backup-simplify]: Simplify (+ 1 0) into 1 8.967 * [backup-simplify]: Simplify (/ PI 1) into PI 8.967 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 8.967 * [taylor]: Taking taylor expansion of -1 in a 8.967 * [backup-simplify]: Simplify -1 into -1 8.968 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.968 * [taylor]: Taking taylor expansion of PI in a 8.968 * [backup-simplify]: Simplify PI into PI 8.968 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.968 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.968 * [taylor]: Taking taylor expansion of a in a 8.968 * [backup-simplify]: Simplify 0 into 0 8.968 * [backup-simplify]: Simplify 1 into 1 8.968 * [backup-simplify]: Simplify (/ 1 1) into 1 8.968 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.968 * [taylor]: Taking taylor expansion of b in a 8.968 * [backup-simplify]: Simplify b into b 8.968 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.969 * [backup-simplify]: Simplify (+ 1 0) into 1 8.969 * [backup-simplify]: Simplify (/ PI 1) into PI 8.970 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 8.970 * [taylor]: Taking taylor expansion of (* -1 PI) in b 8.970 * [taylor]: Taking taylor expansion of -1 in b 8.970 * [backup-simplify]: Simplify -1 into -1 8.970 * [taylor]: Taking taylor expansion of PI in b 8.970 * [backup-simplify]: Simplify PI into PI 8.971 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 8.971 * [backup-simplify]: Simplify 0 into 0 8.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.972 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 8.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 8.973 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 8.973 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.973 * [taylor]: Taking taylor expansion of PI in b 8.973 * [backup-simplify]: Simplify PI into PI 8.973 * [taylor]: Taking taylor expansion of b in b 8.973 * [backup-simplify]: Simplify 0 into 0 8.973 * [backup-simplify]: Simplify 1 into 1 8.974 * [backup-simplify]: Simplify (/ PI 1) into PI 8.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.976 * [backup-simplify]: Simplify 0 into 0 8.977 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 8.977 * [backup-simplify]: Simplify 0 into 0 8.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.978 * [backup-simplify]: Simplify (+ 0 0) into 0 8.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 8.980 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 8.980 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 8.980 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.981 * [taylor]: Taking taylor expansion of PI in b 8.981 * [backup-simplify]: Simplify PI into PI 8.981 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.981 * [taylor]: Taking taylor expansion of b in b 8.981 * [backup-simplify]: Simplify 0 into 0 8.981 * [backup-simplify]: Simplify 1 into 1 8.981 * [backup-simplify]: Simplify (* 1 1) into 1 8.982 * [backup-simplify]: Simplify (/ PI 1) into PI 8.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.988 * [backup-simplify]: Simplify (- 0) into 0 8.988 * [backup-simplify]: Simplify 0 into 0 8.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.989 * [backup-simplify]: Simplify 0 into 0 8.990 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.990 * [backup-simplify]: Simplify 0 into 0 8.991 * [backup-simplify]: Simplify 0 into 0 8.991 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 8.991 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 8.991 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 8.991 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 8.991 * [taylor]: Taking taylor expansion of PI in b 8.991 * [backup-simplify]: Simplify PI into PI 8.991 * [taylor]: Taking taylor expansion of (+ a b) in b 8.991 * [taylor]: Taking taylor expansion of a in b 8.991 * [backup-simplify]: Simplify a into a 8.991 * [taylor]: Taking taylor expansion of b in b 8.991 * [backup-simplify]: Simplify 0 into 0 8.991 * [backup-simplify]: Simplify 1 into 1 8.991 * [backup-simplify]: Simplify (+ a 0) into a 8.991 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 8.991 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 8.991 * [taylor]: Taking taylor expansion of PI in a 8.991 * [backup-simplify]: Simplify PI into PI 8.991 * [taylor]: Taking taylor expansion of (+ a b) in a 8.991 * [taylor]: Taking taylor expansion of a in a 8.991 * [backup-simplify]: Simplify 0 into 0 8.991 * [backup-simplify]: Simplify 1 into 1 8.991 * [taylor]: Taking taylor expansion of b in a 8.991 * [backup-simplify]: Simplify b into b 8.992 * [backup-simplify]: Simplify (+ 0 b) into b 8.992 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.992 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 8.992 * [taylor]: Taking taylor expansion of PI in a 8.992 * [backup-simplify]: Simplify PI into PI 8.992 * [taylor]: Taking taylor expansion of (+ a b) in a 8.992 * [taylor]: Taking taylor expansion of a in a 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [backup-simplify]: Simplify 1 into 1 8.992 * [taylor]: Taking taylor expansion of b in a 8.992 * [backup-simplify]: Simplify b into b 8.992 * [backup-simplify]: Simplify (+ 0 b) into b 8.992 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.992 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.992 * [taylor]: Taking taylor expansion of PI in b 8.992 * [backup-simplify]: Simplify PI into PI 8.992 * [taylor]: Taking taylor expansion of b in b 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [backup-simplify]: Simplify 1 into 1 8.993 * [backup-simplify]: Simplify (/ PI 1) into PI 8.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.994 * [backup-simplify]: Simplify 0 into 0 8.994 * [backup-simplify]: Simplify (+ 1 0) into 1 8.995 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 8.995 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 8.995 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.995 * [taylor]: Taking taylor expansion of PI in b 8.995 * [backup-simplify]: Simplify PI into PI 8.995 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.995 * [taylor]: Taking taylor expansion of b in b 8.995 * [backup-simplify]: Simplify 0 into 0 8.995 * [backup-simplify]: Simplify 1 into 1 8.995 * [backup-simplify]: Simplify (* 1 1) into 1 8.996 * [backup-simplify]: Simplify (/ PI 1) into PI 8.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.000 * [backup-simplify]: Simplify (- 0) into 0 9.000 * [backup-simplify]: Simplify 0 into 0 9.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.001 * [backup-simplify]: Simplify 0 into 0 9.001 * [backup-simplify]: Simplify (+ 0 0) into 0 9.002 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 9.002 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 9.002 * [taylor]: Taking taylor expansion of PI in b 9.002 * [backup-simplify]: Simplify PI into PI 9.002 * [taylor]: Taking taylor expansion of (pow b 3) in b 9.002 * [taylor]: Taking taylor expansion of b in b 9.002 * [backup-simplify]: Simplify 0 into 0 9.002 * [backup-simplify]: Simplify 1 into 1 9.002 * [backup-simplify]: Simplify (* 1 1) into 1 9.002 * [backup-simplify]: Simplify (* 1 1) into 1 9.003 * [backup-simplify]: Simplify (/ PI 1) into PI 9.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.010 * [backup-simplify]: Simplify 0 into 0 9.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.013 * [backup-simplify]: Simplify (- 0) into 0 9.013 * [backup-simplify]: Simplify 0 into 0 9.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.014 * [backup-simplify]: Simplify 0 into 0 9.014 * [backup-simplify]: Simplify 0 into 0 9.014 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 9.014 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 9.014 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 9.014 * [taylor]: Taking taylor expansion of PI in b 9.014 * [backup-simplify]: Simplify PI into PI 9.014 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 9.014 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.014 * [taylor]: Taking taylor expansion of a in b 9.014 * [backup-simplify]: Simplify a into a 9.014 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.014 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.014 * [taylor]: Taking taylor expansion of b in b 9.014 * [backup-simplify]: Simplify 0 into 0 9.014 * [backup-simplify]: Simplify 1 into 1 9.015 * [backup-simplify]: Simplify (/ 1 1) into 1 9.015 * [backup-simplify]: Simplify (+ 0 1) into 1 9.016 * [backup-simplify]: Simplify (/ PI 1) into PI 9.016 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 9.016 * [taylor]: Taking taylor expansion of PI in a 9.016 * [backup-simplify]: Simplify PI into PI 9.016 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.016 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.016 * [taylor]: Taking taylor expansion of a in a 9.016 * [backup-simplify]: Simplify 0 into 0 9.016 * [backup-simplify]: Simplify 1 into 1 9.016 * [backup-simplify]: Simplify (/ 1 1) into 1 9.016 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.016 * [taylor]: Taking taylor expansion of b in a 9.016 * [backup-simplify]: Simplify b into b 9.016 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.017 * [backup-simplify]: Simplify (+ 1 0) into 1 9.017 * [backup-simplify]: Simplify (/ PI 1) into PI 9.017 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 9.017 * [taylor]: Taking taylor expansion of PI in a 9.017 * [backup-simplify]: Simplify PI into PI 9.017 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.017 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.017 * [taylor]: Taking taylor expansion of a in a 9.017 * [backup-simplify]: Simplify 0 into 0 9.017 * [backup-simplify]: Simplify 1 into 1 9.018 * [backup-simplify]: Simplify (/ 1 1) into 1 9.018 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.018 * [taylor]: Taking taylor expansion of b in a 9.018 * [backup-simplify]: Simplify b into b 9.018 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.018 * [backup-simplify]: Simplify (+ 1 0) into 1 9.019 * [backup-simplify]: Simplify (/ PI 1) into PI 9.019 * [taylor]: Taking taylor expansion of PI in b 9.019 * [backup-simplify]: Simplify PI into PI 9.019 * [backup-simplify]: Simplify 0 into 0 9.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.019 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 9.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 9.020 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 9.020 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.020 * [taylor]: Taking taylor expansion of PI in b 9.020 * [backup-simplify]: Simplify PI into PI 9.020 * [taylor]: Taking taylor expansion of b in b 9.020 * [backup-simplify]: Simplify 0 into 0 9.020 * [backup-simplify]: Simplify 1 into 1 9.020 * [backup-simplify]: Simplify (/ PI 1) into PI 9.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.023 * [backup-simplify]: Simplify (- 0) into 0 9.023 * [backup-simplify]: Simplify 0 into 0 9.023 * [backup-simplify]: Simplify 0 into 0 9.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.024 * [backup-simplify]: Simplify (+ 0 0) into 0 9.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 9.025 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.025 * [taylor]: Taking taylor expansion of PI in b 9.025 * [backup-simplify]: Simplify PI into PI 9.025 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.025 * [taylor]: Taking taylor expansion of b in b 9.025 * [backup-simplify]: Simplify 0 into 0 9.025 * [backup-simplify]: Simplify 1 into 1 9.025 * [backup-simplify]: Simplify (* 1 1) into 1 9.026 * [backup-simplify]: Simplify (/ PI 1) into PI 9.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.032 * [backup-simplify]: Simplify 0 into 0 9.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.033 * [backup-simplify]: Simplify (- 0) into 0 9.033 * [backup-simplify]: Simplify 0 into 0 9.033 * [backup-simplify]: Simplify 0 into 0 9.033 * [backup-simplify]: Simplify 0 into 0 9.034 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 9.034 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 9.034 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 9.034 * [taylor]: Taking taylor expansion of -1 in b 9.034 * [backup-simplify]: Simplify -1 into -1 9.034 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 9.034 * [taylor]: Taking taylor expansion of PI in b 9.034 * [backup-simplify]: Simplify PI into PI 9.034 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 9.034 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.034 * [taylor]: Taking taylor expansion of a in b 9.034 * [backup-simplify]: Simplify a into a 9.034 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.034 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.034 * [taylor]: Taking taylor expansion of b in b 9.034 * [backup-simplify]: Simplify 0 into 0 9.034 * [backup-simplify]: Simplify 1 into 1 9.034 * [backup-simplify]: Simplify (/ 1 1) into 1 9.035 * [backup-simplify]: Simplify (+ 0 1) into 1 9.035 * [backup-simplify]: Simplify (/ PI 1) into PI 9.035 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 9.036 * [taylor]: Taking taylor expansion of -1 in a 9.036 * [backup-simplify]: Simplify -1 into -1 9.036 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 9.036 * [taylor]: Taking taylor expansion of PI in a 9.036 * [backup-simplify]: Simplify PI into PI 9.036 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.036 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.036 * [taylor]: Taking taylor expansion of a in a 9.036 * [backup-simplify]: Simplify 0 into 0 9.036 * [backup-simplify]: Simplify 1 into 1 9.036 * [backup-simplify]: Simplify (/ 1 1) into 1 9.036 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.036 * [taylor]: Taking taylor expansion of b in a 9.036 * [backup-simplify]: Simplify b into b 9.036 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.037 * [backup-simplify]: Simplify (+ 1 0) into 1 9.037 * [backup-simplify]: Simplify (/ PI 1) into PI 9.037 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 9.037 * [taylor]: Taking taylor expansion of -1 in a 9.037 * [backup-simplify]: Simplify -1 into -1 9.037 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 9.037 * [taylor]: Taking taylor expansion of PI in a 9.037 * [backup-simplify]: Simplify PI into PI 9.037 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.037 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.037 * [taylor]: Taking taylor expansion of a in a 9.037 * [backup-simplify]: Simplify 0 into 0 9.037 * [backup-simplify]: Simplify 1 into 1 9.038 * [backup-simplify]: Simplify (/ 1 1) into 1 9.038 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.038 * [taylor]: Taking taylor expansion of b in a 9.038 * [backup-simplify]: Simplify b into b 9.038 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.038 * [backup-simplify]: Simplify (+ 1 0) into 1 9.039 * [backup-simplify]: Simplify (/ PI 1) into PI 9.040 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 9.040 * [taylor]: Taking taylor expansion of (* -1 PI) in b 9.040 * [taylor]: Taking taylor expansion of -1 in b 9.040 * [backup-simplify]: Simplify -1 into -1 9.040 * [taylor]: Taking taylor expansion of PI in b 9.040 * [backup-simplify]: Simplify PI into PI 9.040 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 9.040 * [backup-simplify]: Simplify 0 into 0 9.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.041 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 9.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 9.042 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 9.043 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.043 * [taylor]: Taking taylor expansion of PI in b 9.043 * [backup-simplify]: Simplify PI into PI 9.043 * [taylor]: Taking taylor expansion of b in b 9.043 * [backup-simplify]: Simplify 0 into 0 9.043 * [backup-simplify]: Simplify 1 into 1 9.043 * [backup-simplify]: Simplify (/ PI 1) into PI 9.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.045 * [backup-simplify]: Simplify 0 into 0 9.046 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 9.047 * [backup-simplify]: Simplify 0 into 0 9.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.048 * [backup-simplify]: Simplify (+ 0 0) into 0 9.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 9.051 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 9.051 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 9.051 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.051 * [taylor]: Taking taylor expansion of PI in b 9.051 * [backup-simplify]: Simplify PI into PI 9.051 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.051 * [taylor]: Taking taylor expansion of b in b 9.051 * [backup-simplify]: Simplify 0 into 0 9.051 * [backup-simplify]: Simplify 1 into 1 9.051 * [backup-simplify]: Simplify (* 1 1) into 1 9.052 * [backup-simplify]: Simplify (/ PI 1) into PI 9.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.063 * [backup-simplify]: Simplify (- 0) into 0 9.063 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.064 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.065 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify 0 into 0 9.066 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 9.066 * [backup-simplify]: Simplify (/ (/ (/ PI (+ a b)) 2) a) into (* 1/2 (/ PI (* a (+ a b)))) 9.066 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in (a b) around 0 9.066 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in b 9.066 * [taylor]: Taking taylor expansion of 1/2 in b 9.066 * [backup-simplify]: Simplify 1/2 into 1/2 9.066 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in b 9.066 * [taylor]: Taking taylor expansion of PI in b 9.066 * [backup-simplify]: Simplify PI into PI 9.066 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 9.066 * [taylor]: Taking taylor expansion of a in b 9.066 * [backup-simplify]: Simplify a into a 9.066 * [taylor]: Taking taylor expansion of (+ a b) in b 9.066 * [taylor]: Taking taylor expansion of a in b 9.066 * [backup-simplify]: Simplify a into a 9.066 * [taylor]: Taking taylor expansion of b in b 9.066 * [backup-simplify]: Simplify 0 into 0 9.066 * [backup-simplify]: Simplify 1 into 1 9.066 * [backup-simplify]: Simplify (+ a 0) into a 9.066 * [backup-simplify]: Simplify (* a a) into (pow a 2) 9.066 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 9.066 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 9.066 * [taylor]: Taking taylor expansion of 1/2 in a 9.066 * [backup-simplify]: Simplify 1/2 into 1/2 9.066 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 9.066 * [taylor]: Taking taylor expansion of PI in a 9.066 * [backup-simplify]: Simplify PI into PI 9.066 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 9.066 * [taylor]: Taking taylor expansion of a in a 9.066 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify 1 into 1 9.067 * [taylor]: Taking taylor expansion of (+ a b) in a 9.067 * [taylor]: Taking taylor expansion of a in a 9.067 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify 1 into 1 9.067 * [taylor]: Taking taylor expansion of b in a 9.067 * [backup-simplify]: Simplify b into b 9.067 * [backup-simplify]: Simplify (+ 0 b) into b 9.067 * [backup-simplify]: Simplify (* 0 b) into 0 9.067 * [backup-simplify]: Simplify (+ 1 0) into 1 9.068 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 9.068 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 9.068 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 9.068 * [taylor]: Taking taylor expansion of 1/2 in a 9.068 * [backup-simplify]: Simplify 1/2 into 1/2 9.068 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 9.068 * [taylor]: Taking taylor expansion of PI in a 9.068 * [backup-simplify]: Simplify PI into PI 9.068 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 9.068 * [taylor]: Taking taylor expansion of a in a 9.068 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify 1 into 1 9.068 * [taylor]: Taking taylor expansion of (+ a b) in a 9.068 * [taylor]: Taking taylor expansion of a in a 9.068 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify 1 into 1 9.068 * [taylor]: Taking taylor expansion of b in a 9.068 * [backup-simplify]: Simplify b into b 9.068 * [backup-simplify]: Simplify (+ 0 b) into b 9.068 * [backup-simplify]: Simplify (* 0 b) into 0 9.069 * [backup-simplify]: Simplify (+ 1 0) into 1 9.069 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 9.069 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 9.069 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 9.069 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 9.069 * [taylor]: Taking taylor expansion of 1/2 in b 9.069 * [backup-simplify]: Simplify 1/2 into 1/2 9.069 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.069 * [taylor]: Taking taylor expansion of PI in b 9.069 * [backup-simplify]: Simplify PI into PI 9.069 * [taylor]: Taking taylor expansion of b in b 9.069 * [backup-simplify]: Simplify 0 into 0 9.069 * [backup-simplify]: Simplify 1 into 1 9.070 * [backup-simplify]: Simplify (/ PI 1) into PI 9.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 9.071 * [backup-simplify]: Simplify 0 into 0 9.072 * [backup-simplify]: Simplify (+ 0 0) into 0 9.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 b))) into 1 9.073 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 9.073 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 9.073 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 9.073 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 9.073 * [taylor]: Taking taylor expansion of 1/2 in b 9.073 * [backup-simplify]: Simplify 1/2 into 1/2 9.073 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.073 * [taylor]: Taking taylor expansion of PI in b 9.073 * [backup-simplify]: Simplify PI into PI 9.073 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.073 * [taylor]: Taking taylor expansion of b in b 9.073 * [backup-simplify]: Simplify 0 into 0 9.073 * [backup-simplify]: Simplify 1 into 1 9.073 * [backup-simplify]: Simplify (* 1 1) into 1 9.074 * [backup-simplify]: Simplify (/ PI 1) into PI 9.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.078 * [backup-simplify]: Simplify (- 0) into 0 9.078 * [backup-simplify]: Simplify 0 into 0 9.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.081 * [backup-simplify]: Simplify 0 into 0 9.081 * [backup-simplify]: Simplify (+ 0 0) into 0 9.082 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 b)))) into 0 9.083 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 9.083 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 9.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 9.083 * [taylor]: Taking taylor expansion of 1/2 in b 9.083 * [backup-simplify]: Simplify 1/2 into 1/2 9.083 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 9.083 * [taylor]: Taking taylor expansion of PI in b 9.083 * [backup-simplify]: Simplify PI into PI 9.083 * [taylor]: Taking taylor expansion of (pow b 3) in b 9.083 * [taylor]: Taking taylor expansion of b in b 9.083 * [backup-simplify]: Simplify 0 into 0 9.083 * [backup-simplify]: Simplify 1 into 1 9.083 * [backup-simplify]: Simplify (* 1 1) into 1 9.084 * [backup-simplify]: Simplify (* 1 1) into 1 9.084 * [backup-simplify]: Simplify (/ PI 1) into PI 9.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.090 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.090 * [backup-simplify]: Simplify 0 into 0 9.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.092 * [backup-simplify]: Simplify (- 0) into 0 9.092 * [backup-simplify]: Simplify 0 into 0 9.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.093 * [backup-simplify]: Simplify 0 into 0 9.093 * [backup-simplify]: Simplify 0 into 0 9.094 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2) (/ 1 a)) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 9.094 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 9.094 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 9.094 * [taylor]: Taking taylor expansion of 1/2 in b 9.094 * [backup-simplify]: Simplify 1/2 into 1/2 9.094 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 9.094 * [taylor]: Taking taylor expansion of (* a PI) in b 9.094 * [taylor]: Taking taylor expansion of a in b 9.094 * [backup-simplify]: Simplify a into a 9.094 * [taylor]: Taking taylor expansion of PI in b 9.094 * [backup-simplify]: Simplify PI into PI 9.094 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 9.094 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.094 * [taylor]: Taking taylor expansion of a in b 9.094 * [backup-simplify]: Simplify a into a 9.094 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.094 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.094 * [taylor]: Taking taylor expansion of b in b 9.094 * [backup-simplify]: Simplify 0 into 0 9.094 * [backup-simplify]: Simplify 1 into 1 9.094 * [backup-simplify]: Simplify (/ 1 1) into 1 9.094 * [backup-simplify]: Simplify (* a PI) into (* a PI) 9.095 * [backup-simplify]: Simplify (+ 0 1) into 1 9.095 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 9.095 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 9.095 * [taylor]: Taking taylor expansion of 1/2 in a 9.095 * [backup-simplify]: Simplify 1/2 into 1/2 9.095 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 9.095 * [taylor]: Taking taylor expansion of (* a PI) in a 9.095 * [taylor]: Taking taylor expansion of a in a 9.095 * [backup-simplify]: Simplify 0 into 0 9.095 * [backup-simplify]: Simplify 1 into 1 9.095 * [taylor]: Taking taylor expansion of PI in a 9.095 * [backup-simplify]: Simplify PI into PI 9.095 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.095 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.095 * [taylor]: Taking taylor expansion of a in a 9.095 * [backup-simplify]: Simplify 0 into 0 9.095 * [backup-simplify]: Simplify 1 into 1 9.095 * [backup-simplify]: Simplify (/ 1 1) into 1 9.095 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.095 * [taylor]: Taking taylor expansion of b in a 9.095 * [backup-simplify]: Simplify b into b 9.095 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.095 * [backup-simplify]: Simplify (* 0 PI) into 0 9.096 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.097 * [backup-simplify]: Simplify (+ 1 0) into 1 9.097 * [backup-simplify]: Simplify (/ PI 1) into PI 9.097 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 9.097 * [taylor]: Taking taylor expansion of 1/2 in a 9.097 * [backup-simplify]: Simplify 1/2 into 1/2 9.097 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 9.097 * [taylor]: Taking taylor expansion of (* a PI) in a 9.097 * [taylor]: Taking taylor expansion of a in a 9.097 * [backup-simplify]: Simplify 0 into 0 9.097 * [backup-simplify]: Simplify 1 into 1 9.097 * [taylor]: Taking taylor expansion of PI in a 9.097 * [backup-simplify]: Simplify PI into PI 9.097 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.097 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.097 * [taylor]: Taking taylor expansion of a in a 9.097 * [backup-simplify]: Simplify 0 into 0 9.097 * [backup-simplify]: Simplify 1 into 1 9.098 * [backup-simplify]: Simplify (/ 1 1) into 1 9.098 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.098 * [taylor]: Taking taylor expansion of b in a 9.098 * [backup-simplify]: Simplify b into b 9.098 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.098 * [backup-simplify]: Simplify (* 0 PI) into 0 9.099 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.099 * [backup-simplify]: Simplify (+ 1 0) into 1 9.100 * [backup-simplify]: Simplify (/ PI 1) into PI 9.100 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 9.100 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 9.100 * [taylor]: Taking taylor expansion of 1/2 in b 9.100 * [backup-simplify]: Simplify 1/2 into 1/2 9.100 * [taylor]: Taking taylor expansion of PI in b 9.100 * [backup-simplify]: Simplify PI into PI 9.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 9.100 * [backup-simplify]: Simplify 0 into 0 9.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.102 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 9.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 9.102 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 9.102 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 9.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 9.102 * [taylor]: Taking taylor expansion of 1/2 in b 9.102 * [backup-simplify]: Simplify 1/2 into 1/2 9.102 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.102 * [taylor]: Taking taylor expansion of PI in b 9.102 * [backup-simplify]: Simplify PI into PI 9.102 * [taylor]: Taking taylor expansion of b in b 9.102 * [backup-simplify]: Simplify 0 into 0 9.103 * [backup-simplify]: Simplify 1 into 1 9.103 * [backup-simplify]: Simplify (/ PI 1) into PI 9.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.105 * [backup-simplify]: Simplify (- 0) into 0 9.105 * [backup-simplify]: Simplify 0 into 0 9.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.106 * [backup-simplify]: Simplify 0 into 0 9.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.107 * [backup-simplify]: Simplify (+ 0 0) into 0 9.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 9.108 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 9.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 9.108 * [taylor]: Taking taylor expansion of 1/2 in b 9.109 * [backup-simplify]: Simplify 1/2 into 1/2 9.109 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.109 * [taylor]: Taking taylor expansion of PI in b 9.109 * [backup-simplify]: Simplify PI into PI 9.109 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.109 * [taylor]: Taking taylor expansion of b in b 9.109 * [backup-simplify]: Simplify 0 into 0 9.109 * [backup-simplify]: Simplify 1 into 1 9.109 * [backup-simplify]: Simplify (* 1 1) into 1 9.109 * [backup-simplify]: Simplify (/ PI 1) into PI 9.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.115 * [backup-simplify]: Simplify 0 into 0 9.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.118 * [backup-simplify]: Simplify (- 0) into 0 9.118 * [backup-simplify]: Simplify 0 into 0 9.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.119 * [backup-simplify]: Simplify 0 into 0 9.119 * [backup-simplify]: Simplify 0 into 0 9.120 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ 1 (- a))) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 9.120 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 9.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 9.120 * [taylor]: Taking taylor expansion of 1/2 in b 9.120 * [backup-simplify]: Simplify 1/2 into 1/2 9.120 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 9.120 * [taylor]: Taking taylor expansion of (* a PI) in b 9.120 * [taylor]: Taking taylor expansion of a in b 9.120 * [backup-simplify]: Simplify a into a 9.120 * [taylor]: Taking taylor expansion of PI in b 9.120 * [backup-simplify]: Simplify PI into PI 9.120 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 9.120 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.120 * [taylor]: Taking taylor expansion of a in b 9.120 * [backup-simplify]: Simplify a into a 9.120 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.120 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.120 * [taylor]: Taking taylor expansion of b in b 9.120 * [backup-simplify]: Simplify 0 into 0 9.120 * [backup-simplify]: Simplify 1 into 1 9.121 * [backup-simplify]: Simplify (/ 1 1) into 1 9.121 * [backup-simplify]: Simplify (* a PI) into (* a PI) 9.121 * [backup-simplify]: Simplify (+ 0 1) into 1 9.122 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 9.122 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 9.122 * [taylor]: Taking taylor expansion of 1/2 in a 9.122 * [backup-simplify]: Simplify 1/2 into 1/2 9.122 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 9.122 * [taylor]: Taking taylor expansion of (* a PI) in a 9.122 * [taylor]: Taking taylor expansion of a in a 9.122 * [backup-simplify]: Simplify 0 into 0 9.122 * [backup-simplify]: Simplify 1 into 1 9.122 * [taylor]: Taking taylor expansion of PI in a 9.122 * [backup-simplify]: Simplify PI into PI 9.122 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.122 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.122 * [taylor]: Taking taylor expansion of a in a 9.122 * [backup-simplify]: Simplify 0 into 0 9.122 * [backup-simplify]: Simplify 1 into 1 9.122 * [backup-simplify]: Simplify (/ 1 1) into 1 9.122 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.123 * [taylor]: Taking taylor expansion of b in a 9.123 * [backup-simplify]: Simplify b into b 9.123 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.123 * [backup-simplify]: Simplify (* 0 PI) into 0 9.125 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.125 * [backup-simplify]: Simplify (+ 1 0) into 1 9.126 * [backup-simplify]: Simplify (/ PI 1) into PI 9.126 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 9.126 * [taylor]: Taking taylor expansion of 1/2 in a 9.126 * [backup-simplify]: Simplify 1/2 into 1/2 9.126 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 9.126 * [taylor]: Taking taylor expansion of (* a PI) in a 9.126 * [taylor]: Taking taylor expansion of a in a 9.126 * [backup-simplify]: Simplify 0 into 0 9.126 * [backup-simplify]: Simplify 1 into 1 9.126 * [taylor]: Taking taylor expansion of PI in a 9.126 * [backup-simplify]: Simplify PI into PI 9.126 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 9.126 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.126 * [taylor]: Taking taylor expansion of a in a 9.126 * [backup-simplify]: Simplify 0 into 0 9.126 * [backup-simplify]: Simplify 1 into 1 9.127 * [backup-simplify]: Simplify (/ 1 1) into 1 9.127 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.127 * [taylor]: Taking taylor expansion of b in a 9.127 * [backup-simplify]: Simplify b into b 9.127 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.127 * [backup-simplify]: Simplify (* 0 PI) into 0 9.128 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.128 * [backup-simplify]: Simplify (+ 1 0) into 1 9.129 * [backup-simplify]: Simplify (/ PI 1) into PI 9.129 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 9.129 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 9.129 * [taylor]: Taking taylor expansion of 1/2 in b 9.129 * [backup-simplify]: Simplify 1/2 into 1/2 9.129 * [taylor]: Taking taylor expansion of PI in b 9.129 * [backup-simplify]: Simplify PI into PI 9.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 9.130 * [backup-simplify]: Simplify 0 into 0 9.130 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.131 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 9.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 9.131 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 9.131 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 9.131 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 9.131 * [taylor]: Taking taylor expansion of 1/2 in b 9.132 * [backup-simplify]: Simplify 1/2 into 1/2 9.132 * [taylor]: Taking taylor expansion of (/ PI b) in b 9.132 * [taylor]: Taking taylor expansion of PI in b 9.132 * [backup-simplify]: Simplify PI into PI 9.132 * [taylor]: Taking taylor expansion of b in b 9.132 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify 1 into 1 9.132 * [backup-simplify]: Simplify (/ PI 1) into PI 9.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.135 * [backup-simplify]: Simplify (- 0) into 0 9.135 * [backup-simplify]: Simplify 0 into 0 9.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.135 * [backup-simplify]: Simplify 0 into 0 9.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.137 * [backup-simplify]: Simplify (+ 0 0) into 0 9.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 9.138 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 9.138 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 9.138 * [taylor]: Taking taylor expansion of 1/2 in b 9.138 * [backup-simplify]: Simplify 1/2 into 1/2 9.138 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 9.138 * [taylor]: Taking taylor expansion of PI in b 9.138 * [backup-simplify]: Simplify PI into PI 9.139 * [taylor]: Taking taylor expansion of (pow b 2) in b 9.139 * [taylor]: Taking taylor expansion of b in b 9.139 * [backup-simplify]: Simplify 0 into 0 9.139 * [backup-simplify]: Simplify 1 into 1 9.139 * [backup-simplify]: Simplify (* 1 1) into 1 9.139 * [backup-simplify]: Simplify (/ PI 1) into PI 9.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.143 * [backup-simplify]: Simplify 0 into 0 9.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.145 * [backup-simplify]: Simplify (- 0) into 0 9.145 * [backup-simplify]: Simplify 0 into 0 9.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.146 * [backup-simplify]: Simplify 0 into 0 9.146 * [backup-simplify]: Simplify 0 into 0 9.146 * * * [progress]: simplifying candidates 9.146 * * * * [progress]: [ 1 / 1082 ] simplifiying candidate # 9.146 * * * * [progress]: [ 2 / 1082 ] simplifiying candidate 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simplifiying candidate # 9.191 * * * * [progress]: [ 726 / 1082 ] simplifiying candidate # 9.191 * * * * [progress]: [ 727 / 1082 ] simplifiying candidate # 9.191 * * * * [progress]: [ 728 / 1082 ] simplifiying candidate # 9.191 * * * * [progress]: [ 729 / 1082 ] simplifiying candidate # 9.191 * * * * [progress]: [ 730 / 1082 ] simplifiying candidate # 9.191 * * * * [progress]: [ 731 / 1082 ] simplifiying candidate # 9.191 * * * * [progress]: [ 732 / 1082 ] simplifiying candidate # 9.191 * * * * [progress]: [ 733 / 1082 ] simplifiying candidate # 9.191 * * * * [progress]: [ 734 / 1082 ] simplifiying candidate # 9.191 * * * * [progress]: [ 735 / 1082 ] simplifiying candidate # 9.191 * * * * [progress]: [ 736 / 1082 ] simplifiying candidate # 9.191 * * * * [progress]: [ 737 / 1082 ] simplifiying candidate # 9.191 * * * * [progress]: [ 738 / 1082 ] simplifiying candidate # 9.191 * * * * [progress]: [ 739 / 1082 ] simplifiying candidate # 9.191 * * * * [progress]: [ 740 / 1082 ] simplifiying candidate # 9.191 * * * * [progress]: [ 741 / 1082 ] simplifiying candidate # 9.191 * * * * [progress]: [ 742 / 1082 ] simplifiying candidate # 9.191 * * * * [progress]: [ 743 / 1082 ] simplifiying candidate # 9.191 * * * * [progress]: [ 744 / 1082 ] simplifiying candidate # 9.192 * * * * [progress]: [ 745 / 1082 ] simplifiying candidate # 9.192 * * * * [progress]: [ 746 / 1082 ] simplifiying candidate # 9.192 * * * * [progress]: [ 747 / 1082 ] simplifiying candidate # 9.192 * * * * [progress]: [ 748 / 1082 ] simplifiying candidate # 9.192 * * * * [progress]: [ 749 / 1082 ] simplifiying candidate #real (real->posit16 (/ 1 (/ b (/ (/ PI (+ a b)) 2))))))) (- b a)))> 9.192 * * * * [progress]: [ 750 / 1082 ] simplifiying candidate # 9.192 * * * * [progress]: [ 751 / 1082 ] simplifiying candidate # 9.192 * * * * [progress]: [ 752 / 1082 ] simplifiying candidate # 9.192 * * * * [progress]: [ 753 / 1082 ] simplifiying candidate # 9.192 * * * * [progress]: [ 754 / 1082 ] 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simplifiying candidate # 9.200 * * * * [progress]: [ 770 / 1082 ] simplifiying candidate # 9.200 * * * * [progress]: [ 771 / 1082 ] simplifiying candidate # 9.200 * * * * [progress]: [ 772 / 1082 ] simplifiying candidate # 9.200 * * * * [progress]: [ 773 / 1082 ] simplifiying candidate # 9.200 * * * * [progress]: [ 774 / 1082 ] simplifiying candidate # 9.200 * * * * [progress]: [ 775 / 1082 ] simplifiying candidate # 9.200 * * * * [progress]: [ 776 / 1082 ] simplifiying candidate # 9.200 * * * * [progress]: [ 777 / 1082 ] simplifiying candidate # 9.200 * * * * [progress]: [ 778 / 1082 ] simplifiying candidate # 9.200 * * * * [progress]: [ 779 / 1082 ] simplifiying candidate # 9.200 * * * * [progress]: [ 780 / 1082 ] simplifiying candidate # 9.201 * * * * [progress]: [ 781 / 1082 ] simplifiying candidate # 9.201 * * * * [progress]: [ 782 / 1082 ] simplifiying candidate # 9.201 * * * * [progress]: [ 783 / 1082 ] simplifiying candidate #real (real->posit16 (/ PI (+ a b)))) 2))))) (- b a)))> 9.201 * * * * [progress]: [ 784 / 1082 ] simplifiying candidate # 9.201 * * * * [progress]: [ 785 / 1082 ] simplifiying candidate # 9.201 * * * * [progress]: [ 786 / 1082 ] simplifiying candidate # 9.201 * * * * [progress]: [ 787 / 1082 ] simplifiying candidate # 9.201 * * * * [progress]: [ 788 / 1082 ] simplifiying candidate # 9.201 * * * * [progress]: [ 789 / 1082 ] simplifiying candidate # 9.201 * * * * [progress]: [ 790 / 1082 ] simplifiying candidate # 9.201 * * * * [progress]: [ 791 / 1082 ] simplifiying candidate # 9.201 * * * * [progress]: [ 792 / 1082 ] simplifiying candidate # 9.201 * * * * [progress]: [ 793 / 1082 ] simplifiying candidate # 9.201 * * * * [progress]: [ 794 / 1082 ] simplifiying candidate # 9.202 * * * * [progress]: [ 795 / 1082 ] simplifiying candidate # 9.202 * * * * [progress]: [ 796 / 1082 ] simplifiying candidate # 9.202 * * * * [progress]: [ 797 / 1082 ] simplifiying candidate # 9.202 * * * * [progress]: [ 798 / 1082 ] simplifiying candidate # 9.202 * * * * [progress]: [ 799 / 1082 ] simplifiying candidate # 9.202 * * * * [progress]: [ 800 / 1082 ] simplifiying candidate # 9.202 * * * * [progress]: [ 801 / 1082 ] simplifiying candidate # 9.202 * * * * [progress]: [ 802 / 1082 ] simplifiying candidate # 9.202 * * * * [progress]: [ 803 / 1082 ] simplifiying candidate # 9.202 * * * * [progress]: [ 804 / 1082 ] simplifiying candidate # 9.202 * * * * [progress]: [ 805 / 1082 ] simplifiying candidate # 9.202 * * * * [progress]: [ 806 / 1082 ] simplifiying candidate # 9.202 * * * * [progress]: [ 807 / 1082 ] simplifiying candidate # 9.203 * * * * [progress]: [ 808 / 1082 ] simplifiying candidate # 9.203 * * * * [progress]: [ 809 / 1082 ] simplifiying candidate # 9.203 * * * * [progress]: [ 810 / 1082 ] simplifiying candidate # 9.203 * * * * [progress]: [ 811 / 1082 ] simplifiying candidate # 9.203 * * * * [progress]: [ 812 / 1082 ] simplifiying candidate # 9.203 * * * * [progress]: [ 813 / 1082 ] simplifiying candidate # 9.203 * * * * [progress]: [ 814 / 1082 ] simplifiying candidate # 9.203 * * * * [progress]: [ 815 / 1082 ] simplifiying candidate # 9.203 * * * * [progress]: [ 816 / 1082 ] simplifiying candidate # 9.203 * * * * [progress]: [ 817 / 1082 ] simplifiying candidate #real (real->posit16 (/ PI (+ a b)))) 2) a) (- (/ 1 (/ b (/ (/ PI (+ a b)) 2))))) (- b a)))> 9.203 * * * * [progress]: [ 818 / 1082 ] simplifiying candidate # 9.203 * * * * [progress]: [ 819 / 1082 ] simplifiying candidate # 9.203 * * * * [progress]: [ 820 / 1082 ] simplifiying candidate # 9.203 * * * * [progress]: [ 821 / 1082 ] simplifiying candidate # 9.204 * * * * [progress]: [ 822 / 1082 ] simplifiying candidate # 9.204 * * * * [progress]: [ 823 / 1082 ] simplifiying candidate # 9.204 * * * * [progress]: [ 824 / 1082 ] simplifiying candidate # 9.204 * * * * [progress]: [ 825 / 1082 ] simplifiying candidate # 9.204 * * * * [progress]: [ 826 / 1082 ] simplifiying candidate # 9.204 * * * * [progress]: [ 827 / 1082 ] simplifiying 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# 9.205 * * * * [progress]: [ 843 / 1082 ] simplifiying candidate # 9.205 * * * * [progress]: [ 844 / 1082 ] simplifiying candidate # 9.205 * * * * [progress]: [ 845 / 1082 ] simplifiying candidate # 9.205 * * * * [progress]: [ 846 / 1082 ] simplifiying candidate # 9.205 * * * * [progress]: [ 847 / 1082 ] simplifiying candidate # 9.205 * * * * [progress]: [ 848 / 1082 ] simplifiying candidate # 9.206 * * * * [progress]: [ 849 / 1082 ] simplifiying candidate # 9.206 * * * * [progress]: [ 850 / 1082 ] simplifiying candidate # 9.206 * * * * [progress]: [ 851 / 1082 ] simplifiying candidate # 9.206 * * * * [progress]: [ 852 / 1082 ] simplifiying candidate # 9.206 * * * * [progress]: [ 853 / 1082 ] simplifiying candidate # 9.206 * * * * [progress]: [ 854 / 1082 ] simplifiying candidate # 9.206 * * * * [progress]: [ 855 / 1082 ] simplifiying candidate # 9.206 * * * * [progress]: [ 856 / 1082 ] simplifiying candidate # 9.206 * * * * [progress]: [ 857 / 1082 ] simplifiying candidate # 9.206 * * * * [progress]: [ 858 / 1082 ] simplifiying candidate # 9.206 * * * * [progress]: [ 859 / 1082 ] simplifiying candidate # 9.206 * * * * [progress]: [ 860 / 1082 ] simplifiying candidate # 9.207 * * * * [progress]: [ 861 / 1082 ] simplifiying candidate # 9.207 * * * * [progress]: [ 862 / 1082 ] simplifiying candidate # 9.207 * * * * [progress]: [ 863 / 1082 ] simplifiying candidate # 9.207 * * * * [progress]: [ 864 / 1082 ] simplifiying candidate # 9.207 * * * * [progress]: [ 865 / 1082 ] simplifiying candidate # 9.207 * * * * [progress]: [ 866 / 1082 ] simplifiying candidate # 9.207 * * * * [progress]: [ 867 / 1082 ] simplifiying candidate # 9.207 * * * * [progress]: [ 868 / 1082 ] simplifiying candidate # 9.207 * * * * [progress]: [ 869 / 1082 ] simplifiying candidate # 9.207 * * * * [progress]: [ 870 / 1082 ] simplifiying candidate # 9.207 * * * * [progress]: [ 871 / 1082 ] simplifiying candidate # 9.208 * * * * [progress]: [ 872 / 1082 ] simplifiying candidate # 9.208 * * * * 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[progress]: [ 1081 / 1082 ] simplifiying candidate # 9.221 * * * * [progress]: [ 1082 / 1082 ] simplifiying candidate # 9.237 * [simplify]: Simplifying: (- 1) (- (- (log b) (- (- (log PI) (log (+ a b))) (log 2)))) (- (- (log b) (- (log (/ PI (+ a b))) (log 2)))) (- (- (log b) (log (/ (/ PI (+ a b)) 2)))) (- (log (/ b (/ (/ PI (+ a b)) 2)))) (- 0 (- (log b) (- (- (log PI) (log (+ a b))) (log 2)))) (- 0 (- (log b) (- (log (/ PI (+ a b))) (log 2)))) (- 0 (- (log b) (log (/ (/ PI (+ a b)) 2)))) (- 0 (log (/ b (/ (/ PI (+ a b)) 2)))) (- (log 1) (- (log b) (- (- (log PI) (log (+ a b))) (log 2)))) (- (log 1) (- (log b) (- (log (/ PI (+ a b))) (log 2)))) (- (log 1) (- (log b) (log (/ (/ PI (+ a b)) 2)))) (- (log 1) (log (/ b (/ (/ PI (+ a b)) 2)))) (log (/ 1 (/ b (/ (/ PI (+ a b)) 2)))) (exp (/ 1 (/ b (/ (/ PI (+ a b)) 2)))) (/ (* (* 1 1) 1) (/ (* (* b b) b) (/ (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (* 2 2) 2)))) (/ (* (* 1 1) 1) (/ (* (* b b) b) (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* 2 2) 2)))) (/ (* (* 1 1) 1) (/ (* (* b b) b) (* (* (/ (/ PI (+ a b)) 2) (/ (/ PI (+ a b)) 2)) (/ (/ PI (+ a b)) 2)))) (/ (* (* 1 1) 1) (* (* (/ b (/ (/ PI (+ a b)) 2)) (/ b (/ (/ PI (+ a b)) 2))) (/ b (/ (/ PI (+ a b)) 2)))) (* (cbrt (/ 1 (/ b (/ (/ PI (+ a b)) 2)))) (cbrt (/ 1 (/ b (/ (/ PI (+ a b)) 2))))) (cbrt (/ 1 (/ b (/ (/ PI (+ a b)) 2)))) (* (* (/ 1 (/ b (/ (/ PI (+ a b)) 2))) (/ 1 (/ b (/ (/ PI (+ a b)) 2)))) (/ 1 (/ b (/ (/ PI (+ a b)) 2)))) (sqrt (/ 1 (/ b (/ (/ PI (+ a b)) 2)))) (sqrt (/ 1 (/ b (/ (/ PI (+ a b)) 2)))) (- 1) (- (/ b (/ (/ PI (+ a b)) 2))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ b (/ (/ PI (+ a b)) 2))) (cbrt (/ b (/ (/ PI (+ a b)) 2))))) (/ (cbrt 1) (cbrt (/ b (/ (/ PI (+ a b)) 2)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ b (/ (/ PI (+ a b)) 2)))) (/ (cbrt 1) (sqrt (/ b (/ (/ PI (+ a b)) 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (* (cbrt (/ (/ PI (+ a b)) 2)) (cbrt (/ (/ PI (+ a b)) 2))))) (/ (cbrt 1) (/ (cbrt b) (cbrt (/ (/ PI (+ a b)) 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (sqrt (/ (/ PI (+ a b)) 2)))) (/ (cbrt 1) (/ (cbrt b) (sqrt (/ (/ PI (+ a b)) 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (* (cbrt 2) (cbrt 2))))) (/ (cbrt 1) (/ (cbrt b) (/ (cbrt (/ PI (+ a b))) (cbrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (sqrt 2)))) (/ (cbrt 1) (/ (cbrt b) (/ (cbrt (/ PI (+ a b))) (sqrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) 1))) (/ (cbrt 1) (/ (cbrt b) (/ (cbrt (/ PI (+ a b))) 2))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (sqrt (/ PI (+ a b))) (* (cbrt 2) (cbrt 2))))) (/ (cbrt 1) (/ (cbrt b) (/ (sqrt (/ PI (+ a b))) (cbrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (sqrt (/ PI (+ a b))) (sqrt 2)))) (/ (cbrt 1) (/ (cbrt b) (/ (sqrt (/ PI (+ a b))) (sqrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (sqrt (/ PI (+ a b))) 1))) (/ (cbrt 1) (/ (cbrt b) (/ (sqrt (/ PI (+ a b))) 2))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (* (cbrt 2) (cbrt 2))))) (/ (cbrt 1) (/ (cbrt b) (/ (/ (cbrt PI) (cbrt (+ a b))) (cbrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (sqrt 2)))) (/ (cbrt 1) (/ (cbrt b) (/ (/ (cbrt PI) (cbrt (+ a b))) (sqrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ a b)) (cbrt (+ a b)))) 1))) (/ (cbrt 1) (/ (cbrt b) (/ (/ (cbrt PI) (cbrt (+ a b))) 2))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) (* (cbrt 2) (cbrt 2))))) (/ (cbrt 1) (/ (cbrt b) (/ (/ (cbrt PI) (sqrt (+ a b))) (cbrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) (sqrt 2)))) (/ (cbrt 1) (/ (cbrt b) (/ (/ (cbrt PI) (sqrt (+ a b))) (sqrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) 1))) (/ (cbrt 1) (/ (cbrt b) (/ (/ (cbrt PI) (sqrt (+ a b))) 2))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (* (cbrt 2) (cbrt 2))))) (/ (cbrt 1) (/ (cbrt b) (/ (/ (cbrt PI) (+ a b)) (cbrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (sqrt 2)))) (/ (cbrt 1) (/ (cbrt b) (/ (/ (cbrt PI) (+ a b)) (sqrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) 1))) (/ (cbrt 1) (/ (cbrt b) (/ (/ (cbrt PI) (+ a b)) 2))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (* (cbrt 2) (cbrt 2))))) (/ (cbrt 1) (/ (cbrt b) (/ (/ (cbrt PI) (+ a b)) (cbrt 2)))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt b) (cbrt b)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (sqrt 2)))) (/ (cbrt 1) (/ (cbrt b) (/ (/ 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b))) 2)) (/ a (/ (- a b) (cbrt 2))) (/ a (/ (- a b) (sqrt 2))) (/ a (/ (- a b) 2)) (/ a (/ (/ PI (+ a b)) 2)) (/ a (/ 1 2)) (* a 2) (real->posit16 (/ (/ (/ PI (+ a b)) 2) a)) 0 0 0 0 0 0 0 0 0 0 0 0 9.283 * * [simplify]: iteration 0: 1708 enodes 11.855 * * [simplify]: iteration 1: 4871 enodes 14.051 * * [simplify]: iteration complete: 5004 enodes 14.053 * * [simplify]: Extracting #0: cost 599 inf + 0 14.061 * * [simplify]: Extracting #1: cost 2033 inf + 87 14.075 * * [simplify]: Extracting #2: cost 2130 inf + 13965 14.119 * * [simplify]: Extracting #3: cost 1204 inf + 166173 14.213 * * [simplify]: Extracting #4: cost 264 inf + 430949 14.328 * * [simplify]: Extracting #5: cost 34 inf + 514942 14.437 * * [simplify]: Extracting #6: cost 1 inf + 528030 14.567 * * [simplify]: Extracting #7: cost 0 inf + 528274 14.716 * [simplify]: Simplified to: -1 (- (log (/ b (/ (/ PI (+ b a)) 2)))) (- (log (/ b (/ (/ PI (+ b a)) 2)))) (- (log (/ b (/ (/ PI (+ b a)) 2)))) (- (log (/ b (/ (/ PI (+ b a)) 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a)) (/ (sqrt PI) (* (sqrt a) (sqrt 2))) (/ (/ (/ (sqrt PI) (+ b a)) (sqrt 2)) (sqrt a)) (/ (sqrt PI) (sqrt 2)) (/ (/ (sqrt PI) (+ b a)) (* a (sqrt 2))) (/ (/ (sqrt PI) (cbrt a)) (cbrt a)) (/ (/ (sqrt PI) (+ b a)) (* (cbrt a) 2)) (/ (sqrt PI) (sqrt a)) (/ (/ (sqrt PI) (+ b a)) (* (sqrt a) 2)) (sqrt PI) (/ (/ (sqrt PI) (+ b a)) (* 2 a)) (/ (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) (cbrt a)) (cbrt a)) (/ (/ (sqrt PI) (* (cbrt 2) (+ b a))) (cbrt a)) (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) (sqrt a)) (/ (/ (sqrt PI) (* (cbrt 2) (+ b a))) (sqrt a)) (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) (/ (/ (sqrt PI) (* (cbrt 2) (+ b a))) a) (/ (/ (sqrt PI) (sqrt 2)) (* (cbrt a) (cbrt a))) (/ (/ (/ (sqrt PI) (+ b a)) (sqrt 2)) (cbrt a)) (/ (sqrt PI) (* (sqrt a) (sqrt 2))) (/ (/ (/ (sqrt PI) (+ b a)) (sqrt 2)) (sqrt a)) (/ (sqrt PI) (sqrt 2)) (/ (/ (sqrt PI) (+ b a)) (* a (sqrt 2))) (/ (/ (sqrt PI) (cbrt a)) (cbrt a)) (/ (/ (sqrt PI) (+ b a)) (* (cbrt a) 2)) (/ (sqrt PI) (sqrt a)) (/ (/ (sqrt PI) (+ b a)) (* (sqrt a) 2)) (sqrt PI) (/ (/ (sqrt PI) (+ b a)) (* 2 a)) (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (* (cbrt a) (cbrt a)) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ PI (cbrt (+ b a))) (cbrt 2)) (cbrt a)) (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (sqrt a) (* (cbrt 2) (cbrt 2)))) (/ (/ (/ PI (cbrt (+ b a))) (cbrt 2)) (sqrt a)) (/ (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (cbrt 2)) (cbrt 2)) (/ (/ (/ PI (cbrt (+ b a))) (cbrt 2)) a) (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (* (cbrt a) (cbrt a)) (sqrt 2))) (/ (/ PI (cbrt (+ b a))) (* (cbrt a) (sqrt 2))) (/ (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt 2)) (sqrt a)) (/ (/ (/ PI (cbrt (+ b a))) (sqrt 2)) (sqrt a)) (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt 2)) (/ (/ PI (cbrt (+ b a))) (* a (sqrt 2))) (/ (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (cbrt a)) (cbrt a)) (/ (/ (/ PI (cbrt (+ b a))) 2) (cbrt a)) (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt a)) (/ (/ (/ PI (cbrt (+ b a))) 2) (sqrt a)) (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (/ PI (cbrt (+ b a))) 2) a) (/ (/ 1 (sqrt (+ b a))) (* (* (cbrt a) (cbrt a)) (* (cbrt 2) (cbrt 2)))) (/ (/ PI (sqrt (+ b a))) (* (cbrt a) (cbrt 2))) (/ (/ 1 (sqrt (+ b a))) (* (sqrt a) (* (cbrt 2) (cbrt 2)))) (/ (/ PI (sqrt (+ b a))) (* (sqrt a) (cbrt 2))) (/ (/ (/ 1 (sqrt (+ b a))) (cbrt 2)) (cbrt 2)) (/ (/ PI (sqrt (+ b a))) (* a (cbrt 2))) (/ (/ (/ 1 (* (sqrt 2) (sqrt (+ b a)))) (cbrt a)) (cbrt a)) (/ (/ PI (* (sqrt 2) (sqrt (+ b a)))) (cbrt a)) (/ (/ 1 (sqrt (+ b a))) (* (sqrt a) (sqrt 2))) (/ (/ PI (* (sqrt 2) (sqrt (+ b a)))) (sqrt a)) (/ 1 (* (sqrt 2) (sqrt (+ b a)))) (/ (/ PI (* (sqrt 2) (sqrt (+ b a)))) a) (/ (/ (/ 1 (sqrt (+ b a))) (cbrt a)) (cbrt a)) (/ (/ PI (sqrt (+ b a))) (* (cbrt a) 2)) (/ (/ 1 (sqrt (+ b a))) (sqrt a)) (/ (/ PI (sqrt (+ b a))) (* (sqrt a) 2)) (/ 1 (sqrt (+ b a))) (/ (/ PI (sqrt (+ b a))) (* 2 a)) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (cbrt a)) (cbrt a)) (/ (/ PI (* (cbrt 2) (+ b a))) (cbrt a)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt a)) (/ (/ PI (* (cbrt 2) (+ b a))) (sqrt a)) (/ 1 (* (cbrt 2) (cbrt 2))) (/ (/ PI (+ b a)) (* a (cbrt 2))) (/ (/ 1 (sqrt 2)) (* (cbrt a) (cbrt a))) (/ (/ (/ PI (+ b a)) (sqrt 2)) (cbrt a)) (/ (/ 1 (sqrt 2)) (sqrt a)) (/ (/ PI (+ b a)) (* (sqrt a) (sqrt 2))) (/ 1 (sqrt 2)) (/ (/ (/ PI (+ b a)) (sqrt 2)) a) (/ (/ 1 (cbrt a)) (cbrt a)) (/ (/ (/ PI (+ b a)) 2) (cbrt a)) (/ 1 (sqrt a)) (/ (/ (/ PI (+ b a)) 2) (sqrt a)) 1 (/ (/ (/ PI (+ b a)) 2) a) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (cbrt a)) (cbrt a)) (/ (/ PI (* (cbrt 2) (+ b a))) (cbrt a)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt a)) (/ (/ PI (* (cbrt 2) (+ b a))) (sqrt a)) (/ 1 (* (cbrt 2) (cbrt 2))) (/ (/ PI (+ b a)) (* a (cbrt 2))) (/ (/ 1 (sqrt 2)) (* (cbrt a) (cbrt a))) (/ (/ (/ PI (+ b a)) (sqrt 2)) (cbrt a)) (/ (/ 1 (sqrt 2)) (sqrt a)) (/ (/ PI (+ b a)) (* (sqrt a) (sqrt 2))) (/ 1 (sqrt 2)) (/ (/ (/ PI (+ b a)) (sqrt 2)) a) (/ (/ 1 (cbrt a)) (cbrt a)) (/ (/ (/ PI (+ b a)) 2) (cbrt a)) (/ 1 (sqrt a)) (/ (/ (/ PI (+ b a)) 2) (sqrt a)) 1 (/ (/ (/ PI (+ b a)) 2) a) (/ (/ (/ 1 (* (cbrt 2) (cbrt 2))) (cbrt a)) (cbrt a)) (/ (/ PI (* (cbrt 2) (+ b a))) (cbrt a)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt a)) (/ (/ PI (* (cbrt 2) (+ b a))) (sqrt a)) (/ 1 (* (cbrt 2) (cbrt 2))) (/ (/ PI (+ b a)) (* a (cbrt 2))) (/ (/ 1 (sqrt 2)) (* (cbrt a) (cbrt a))) (/ (/ (/ PI (+ b a)) (sqrt 2)) (cbrt a)) (/ (/ 1 (sqrt 2)) (sqrt a)) (/ (/ PI (+ b a)) (* (sqrt a) (sqrt 2))) (/ 1 (sqrt 2)) (/ (/ (/ PI (+ b a)) (sqrt 2)) a) (/ (/ 1 (cbrt a)) (cbrt a)) (/ (/ (/ PI (+ b a)) 2) (cbrt a)) (/ 1 (sqrt a)) (/ (/ (/ PI (+ b a)) 2) (sqrt a)) 1 (/ (/ (/ PI (+ b a)) 2) a) (/ (/ (/ PI (* (cbrt 2) (cbrt 2))) (cbrt a)) (cbrt a)) (/ (/ 1 (* (cbrt 2) (+ b a))) (cbrt a)) (/ (/ PI (* (cbrt 2) (cbrt 2))) (sqrt a)) (/ (/ 1 (+ b a)) (* (sqrt a) (cbrt 2))) (/ PI (* (cbrt 2) (cbrt 2))) (/ (/ 1 (+ b a)) (* a (cbrt 2))) (/ (/ (/ PI (sqrt 2)) (cbrt a)) (cbrt a)) (/ (/ 1 (* (sqrt 2) (+ b a))) (cbrt a)) (/ PI (* (sqrt a) (sqrt 2))) (/ (/ 1 (* (sqrt 2) (+ b a))) (sqrt a)) (/ PI (sqrt 2)) (/ (/ 1 (* (sqrt 2) (+ b a))) a) (/ PI (* (cbrt a) (cbrt a))) (/ (/ 1 (* 2 (+ b a))) (cbrt a)) (/ PI (sqrt a)) (/ (/ 1 (* 2 (+ b a))) (sqrt a)) PI (/ (/ 1 (+ b a)) (* 2 a)) (/ (/ PI (+ (* a (* a a)) (* (* b b) b))) (* (* (cbrt a) (cbrt a)) (* (cbrt 2) (cbrt 2)))) (/ (+ (* b (- b a)) (* a a)) (* (cbrt a) (cbrt 2))) (/ (/ PI (+ (* a (* a a)) (* (* b b) b))) (* (sqrt a) (* (cbrt 2) (cbrt 2)))) (/ (+ (* b (- b a)) (* a a)) (* (sqrt a) (cbrt 2))) (/ (/ PI (+ (* a (* a a)) (* (* b b) b))) (* (cbrt 2) (cbrt 2))) (/ (+ (* b (- b a)) (* a a)) (* a (cbrt 2))) (/ (/ (/ (/ PI (+ (* a (* a a)) (* (* b b) b))) (sqrt 2)) (cbrt a)) (cbrt a)) (/ (/ (+ (* b (- b a)) (* a a)) (sqrt 2)) (cbrt a)) (/ (/ (/ PI (+ (* a (* a a)) (* (* b b) b))) (sqrt 2)) (sqrt a)) (/ (+ (* b (- b a)) (* a a)) (* (sqrt a) (sqrt 2))) (/ (/ PI (+ (* a (* a a)) (* (* b b) b))) (sqrt 2)) (/ (+ (* b (- b a)) (* a a)) (* a (sqrt 2))) (/ (/ PI (+ (* a (* a a)) (* (* b b) b))) (* (cbrt a) (cbrt a))) (/ (+ (* b (- b a)) (* a a)) (* (cbrt a) 2)) (/ (/ PI (+ (* a (* a a)) (* (* b b) b))) (sqrt a)) (/ (+ (* b (- b a)) (* a a)) (* (sqrt a) 2)) (/ PI (+ (* a (* a a)) (* (* b b) b))) (/ (/ (+ (* b (- b a)) (* a a)) 2) a) (/ (/ (/ PI (* (+ b a) (- a b))) (* (cbrt 2) (cbrt 2))) (* (cbrt a) (cbrt a))) (/ (/ (- a b) (cbrt 2)) (cbrt a)) (/ (/ PI (* (+ b a) (- a b))) (* (sqrt a) (* (cbrt 2) (cbrt 2)))) (/ (- a b) (* (sqrt a) (cbrt 2))) (/ (/ PI (* (+ b a) (- a b))) (* (cbrt 2) (cbrt 2))) (/ (/ (- a b) (cbrt 2)) a) (/ (/ (/ PI (* (+ b a) (- a b))) (sqrt 2)) (* (cbrt a) (cbrt a))) (/ (/ (- a b) (sqrt 2)) (cbrt a)) (/ (/ PI (* (+ b a) (- a b))) (* (sqrt a) (sqrt 2))) (/ (/ (- a b) (sqrt 2)) (sqrt a)) (/ (/ PI (* (+ b a) (- a b))) (sqrt 2)) (/ (/ (- a b) (sqrt 2)) a) (/ (/ PI (* (+ b a) (- a b))) (* (cbrt a) (cbrt a))) (/ (/ (- a b) 2) (cbrt a)) (/ (/ PI (* (+ b a) (- a b))) (sqrt a)) (/ (- a b) (* (sqrt a) 2)) (/ PI (* (+ b a) (- a b))) (/ (- a b) (* 2 a)) (/ (/ 1 (cbrt a)) (cbrt a)) (/ (/ (/ PI (+ b a)) 2) (cbrt a)) (/ 1 (sqrt a)) (/ (/ (/ PI (+ b a)) 2) (sqrt a)) 1 (/ (/ (/ PI (+ b a)) 2) a) (/ (/ (/ PI (+ b a)) (cbrt a)) (cbrt a)) (/ 1/2 (cbrt a)) (/ PI (* (sqrt a) (+ b a))) (/ 1/2 (sqrt a)) (/ PI (+ b a)) (/ 1/2 a) (/ 1 a) (/ a (/ (/ PI (+ b a)) 2)) (/ (/ (/ (/ PI (+ b a)) 2) (cbrt a)) (cbrt a)) (/ (/ (/ PI (+ b a)) 2) (sqrt a)) (/ (/ PI (+ b a)) 2) (/ a (cbrt (/ (/ PI (+ b a)) 2))) (/ a (sqrt (/ (/ PI (+ b a)) 2))) (* (/ a (cbrt (/ PI (+ b a)))) (cbrt 2)) (* (/ a (cbrt (/ PI (+ b a)))) (sqrt 2)) (* (/ a (cbrt (/ PI (+ b a)))) 2) (/ a (/ (sqrt (/ PI (+ b a))) (cbrt 2))) (/ a (/ (sqrt (/ PI (+ b a))) (sqrt 2))) (* (/ a (sqrt (/ PI (+ b a)))) 2) (/ a (/ (/ (cbrt PI) (cbrt (+ b a))) (cbrt 2))) (/ a (/ (cbrt PI) (* (sqrt 2) (cbrt (+ b a))))) (/ a (/ (/ (cbrt PI) (cbrt (+ b a))) 2)) (/ a (/ (/ (cbrt PI) (sqrt (+ b a))) (cbrt 2))) (* (/ a (/ (cbrt PI) (sqrt (+ b a)))) (sqrt 2)) (* (/ a (/ (cbrt PI) (sqrt (+ b a)))) 2) (* (/ a (/ (cbrt PI) (+ b a))) (cbrt 2)) (* (/ a (/ (cbrt PI) (+ b a))) (sqrt 2)) (/ a (/ (cbrt PI) (* 2 (+ b a)))) (* (/ a (/ (cbrt PI) (+ b a))) (cbrt 2)) (* (/ a (/ (cbrt PI) (+ b a))) (sqrt 2)) (/ a (/ (cbrt PI) (* 2 (+ b a)))) (* (/ a (/ (sqrt PI) (cbrt (+ b a)))) (cbrt 2)) (/ a (/ (/ (sqrt PI) (cbrt (+ b a))) (sqrt 2))) (* (/ a (/ (sqrt PI) (cbrt (+ b a)))) 2) (/ a (/ (/ (sqrt PI) (sqrt (+ b a))) (cbrt 2))) (/ a (/ (/ (sqrt PI) (sqrt (+ b a))) (sqrt 2))) (* (/ a (/ (sqrt PI) (sqrt (+ b a)))) 2) (/ a (/ (sqrt PI) (* (cbrt 2) (+ b a)))) (/ a (/ (/ (sqrt PI) (+ b a)) (sqrt 2))) (/ a (/ (sqrt PI) (* 2 (+ b a)))) (/ a (/ (sqrt PI) (* (cbrt 2) (+ b a)))) (/ a (/ (/ (sqrt PI) (+ b a)) (sqrt 2))) (/ a (/ (sqrt PI) (* 2 (+ b a)))) (/ a (/ (/ PI (cbrt (+ b a))) (cbrt 2))) (* (/ a (/ PI (cbrt (+ b a)))) (sqrt 2)) (/ a (/ (/ PI (cbrt (+ b a))) 2)) (* (/ a (/ PI (sqrt (+ b a)))) (cbrt 2)) (/ a (/ PI (* (sqrt 2) (sqrt (+ b a))))) (* (/ a (/ PI (sqrt (+ b a)))) 2) (* (/ a (/ PI (+ b a))) (cbrt 2)) (* (/ a (/ PI (+ b a))) (sqrt 2)) (/ a (/ (/ PI (+ b a)) 2)) (* (/ a (/ PI (+ b a))) (cbrt 2)) (* (/ a (/ PI (+ b a))) (sqrt 2)) (/ a (/ (/ PI (+ b a)) 2)) (* (/ a (/ PI (+ b a))) (cbrt 2)) (* (/ a (/ PI (+ b a))) (sqrt 2)) (/ a (/ (/ PI (+ b a)) 2)) (/ a (/ 1 (* (cbrt 2) (+ b a)))) (/ a (/ 1 (* (sqrt 2) (+ b a)))) (/ a (/ 1 (* 2 (+ b a)))) (* (/ a (+ (* b (- b a)) (* a a))) (cbrt 2)) (/ a (/ (+ (* b (- b a)) (* a a)) (sqrt 2))) (* (/ a (+ (* b (- b a)) (* a a))) 2) (/ a (/ (- a b) (cbrt 2))) (* (/ a (- a b)) (sqrt 2)) (* (/ a (- a b)) 2) (/ a (/ (/ PI (+ b a)) 2)) (/ a 1/2) (* 2 a) (real->posit16 (/ (/ (/ PI (+ b a)) 2) a)) 0 0 0 0 0 0 0 0 0 0 0 0 15.042 * * * [progress]: adding candidates to table 22.079 * * [progress]: iteration 3 / 4 22.080 * * * [progress]: picking best candidate 22.118 * * * * [pick]: Picked # 22.118 * * * [progress]: localizing error 22.158 * * * [progress]: generating rewritten candidates 22.158 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 22.211 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1 1) 22.227 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 22.234 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 22.272 * * * [progress]: generating series expansions 22.272 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 22.272 * [backup-simplify]: Simplify (* (/ (/ PI (+ a b)) 2) (/ 1 a)) into (* 1/2 (/ PI (* a (+ a b)))) 22.272 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in (a b) around 0 22.272 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in b 22.272 * [taylor]: Taking taylor expansion of 1/2 in b 22.272 * [backup-simplify]: Simplify 1/2 into 1/2 22.272 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in b 22.272 * [taylor]: Taking taylor expansion of PI in b 22.272 * [backup-simplify]: Simplify PI into PI 22.272 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 22.273 * [taylor]: Taking taylor expansion of a in b 22.273 * [backup-simplify]: Simplify a into a 22.273 * [taylor]: Taking taylor expansion of (+ a b) in b 22.273 * [taylor]: Taking taylor expansion of a in b 22.273 * [backup-simplify]: Simplify a into a 22.273 * [taylor]: Taking taylor expansion of b in b 22.273 * [backup-simplify]: Simplify 0 into 0 22.273 * [backup-simplify]: Simplify 1 into 1 22.273 * [backup-simplify]: Simplify (+ a 0) into a 22.273 * [backup-simplify]: Simplify (* a a) into (pow a 2) 22.273 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 22.273 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 22.273 * [taylor]: Taking taylor expansion of 1/2 in a 22.273 * [backup-simplify]: Simplify 1/2 into 1/2 22.273 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 22.273 * [taylor]: Taking taylor expansion of PI in a 22.273 * [backup-simplify]: Simplify PI into PI 22.273 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 22.273 * [taylor]: Taking taylor expansion of a in a 22.273 * [backup-simplify]: Simplify 0 into 0 22.273 * [backup-simplify]: Simplify 1 into 1 22.273 * [taylor]: Taking taylor expansion of (+ a b) in a 22.274 * [taylor]: Taking taylor expansion of a in a 22.274 * [backup-simplify]: Simplify 0 into 0 22.274 * [backup-simplify]: Simplify 1 into 1 22.274 * [taylor]: Taking taylor expansion of b in a 22.274 * [backup-simplify]: Simplify b into b 22.274 * [backup-simplify]: Simplify (+ 0 b) into b 22.274 * [backup-simplify]: Simplify (* 0 b) into 0 22.275 * [backup-simplify]: Simplify (+ 1 0) into 1 22.275 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 22.275 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 22.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 22.275 * [taylor]: Taking taylor expansion of 1/2 in a 22.275 * [backup-simplify]: Simplify 1/2 into 1/2 22.275 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 22.275 * [taylor]: Taking taylor expansion of PI in a 22.275 * [backup-simplify]: Simplify PI into PI 22.275 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 22.275 * [taylor]: Taking taylor expansion of a in a 22.275 * [backup-simplify]: Simplify 0 into 0 22.275 * [backup-simplify]: Simplify 1 into 1 22.275 * [taylor]: Taking taylor expansion of (+ a b) in a 22.275 * [taylor]: Taking taylor expansion of a in a 22.275 * [backup-simplify]: Simplify 0 into 0 22.276 * [backup-simplify]: Simplify 1 into 1 22.276 * [taylor]: Taking taylor expansion of b in a 22.276 * [backup-simplify]: Simplify b into b 22.276 * [backup-simplify]: Simplify (+ 0 b) into b 22.276 * [backup-simplify]: Simplify (* 0 b) into 0 22.276 * [backup-simplify]: Simplify (+ 1 0) into 1 22.277 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 22.277 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 22.277 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 22.277 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 22.277 * [taylor]: Taking taylor expansion of 1/2 in b 22.277 * [backup-simplify]: Simplify 1/2 into 1/2 22.277 * [taylor]: Taking taylor expansion of (/ PI b) in b 22.277 * [taylor]: Taking taylor expansion of PI in b 22.277 * [backup-simplify]: Simplify PI into PI 22.277 * [taylor]: Taking taylor expansion of b in b 22.277 * [backup-simplify]: Simplify 0 into 0 22.277 * [backup-simplify]: Simplify 1 into 1 22.278 * [backup-simplify]: Simplify (/ PI 1) into PI 22.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 22.279 * [backup-simplify]: Simplify 0 into 0 22.280 * [backup-simplify]: Simplify (+ 0 0) into 0 22.281 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 b))) into 1 22.281 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 22.281 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 22.281 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 22.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 22.281 * [taylor]: Taking taylor expansion of 1/2 in b 22.281 * [backup-simplify]: Simplify 1/2 into 1/2 22.281 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 22.281 * [taylor]: Taking taylor expansion of PI in b 22.281 * [backup-simplify]: Simplify PI into PI 22.281 * [taylor]: Taking taylor expansion of (pow b 2) in b 22.281 * [taylor]: Taking taylor expansion of b in b 22.281 * [backup-simplify]: Simplify 0 into 0 22.281 * [backup-simplify]: Simplify 1 into 1 22.282 * [backup-simplify]: Simplify (* 1 1) into 1 22.282 * [backup-simplify]: Simplify (/ PI 1) into PI 22.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.285 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 22.285 * [backup-simplify]: Simplify (- 0) into 0 22.286 * [backup-simplify]: Simplify 0 into 0 22.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 22.287 * [backup-simplify]: Simplify 0 into 0 22.287 * [backup-simplify]: Simplify (+ 0 0) into 0 22.288 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 b)))) into 0 22.288 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 22.288 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 22.288 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 22.288 * [taylor]: Taking taylor expansion of 1/2 in b 22.288 * [backup-simplify]: Simplify 1/2 into 1/2 22.288 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 22.288 * [taylor]: Taking taylor expansion of PI in b 22.288 * [backup-simplify]: Simplify PI into PI 22.288 * [taylor]: Taking taylor expansion of (pow b 3) in b 22.288 * [taylor]: Taking taylor expansion of b in b 22.288 * [backup-simplify]: Simplify 0 into 0 22.288 * [backup-simplify]: Simplify 1 into 1 22.289 * [backup-simplify]: Simplify (* 1 1) into 1 22.289 * [backup-simplify]: Simplify (* 1 1) into 1 22.289 * [backup-simplify]: Simplify (/ PI 1) into PI 22.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.295 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.295 * [backup-simplify]: Simplify 0 into 0 22.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.297 * [backup-simplify]: Simplify (- 0) into 0 22.297 * [backup-simplify]: Simplify 0 into 0 22.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.298 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.299 * [backup-simplify]: Simplify 0 into 0 22.299 * [backup-simplify]: Simplify 0 into 0 22.299 * [backup-simplify]: Simplify (* (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2) (/ 1 (/ 1 a))) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 22.299 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 22.299 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 22.299 * [taylor]: Taking taylor expansion of 1/2 in b 22.299 * [backup-simplify]: Simplify 1/2 into 1/2 22.299 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 22.299 * [taylor]: Taking taylor expansion of (* a PI) in b 22.299 * [taylor]: Taking taylor expansion of a in b 22.299 * [backup-simplify]: Simplify a into a 22.299 * [taylor]: Taking taylor expansion of PI in b 22.299 * [backup-simplify]: Simplify PI into PI 22.299 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 22.299 * [taylor]: Taking taylor expansion of (/ 1 a) in b 22.299 * [taylor]: Taking taylor expansion of a in b 22.299 * [backup-simplify]: Simplify a into a 22.299 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 22.299 * [taylor]: Taking taylor expansion of (/ 1 b) in b 22.299 * [taylor]: Taking taylor expansion of b in b 22.299 * [backup-simplify]: Simplify 0 into 0 22.299 * [backup-simplify]: Simplify 1 into 1 22.299 * [backup-simplify]: Simplify (/ 1 1) into 1 22.299 * [backup-simplify]: Simplify (* a PI) into (* a PI) 22.300 * [backup-simplify]: Simplify (+ 0 1) into 1 22.300 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 22.300 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 22.300 * [taylor]: Taking taylor expansion of 1/2 in a 22.300 * [backup-simplify]: Simplify 1/2 into 1/2 22.300 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 22.300 * [taylor]: Taking taylor expansion of (* a PI) in a 22.300 * [taylor]: Taking taylor expansion of a in a 22.300 * [backup-simplify]: Simplify 0 into 0 22.300 * [backup-simplify]: Simplify 1 into 1 22.300 * [taylor]: Taking taylor expansion of PI in a 22.300 * [backup-simplify]: Simplify PI into PI 22.300 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.300 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.300 * [taylor]: Taking taylor expansion of a in a 22.300 * [backup-simplify]: Simplify 0 into 0 22.300 * [backup-simplify]: Simplify 1 into 1 22.300 * [backup-simplify]: Simplify (/ 1 1) into 1 22.300 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.300 * [taylor]: Taking taylor expansion of b in a 22.300 * [backup-simplify]: Simplify b into b 22.300 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.301 * [backup-simplify]: Simplify (* 0 PI) into 0 22.301 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 22.302 * [backup-simplify]: Simplify (+ 1 0) into 1 22.302 * [backup-simplify]: Simplify (/ PI 1) into PI 22.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 22.302 * [taylor]: Taking taylor expansion of 1/2 in a 22.302 * [backup-simplify]: Simplify 1/2 into 1/2 22.302 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 22.302 * [taylor]: Taking taylor expansion of (* a PI) in a 22.302 * [taylor]: Taking taylor expansion of a in a 22.302 * [backup-simplify]: Simplify 0 into 0 22.302 * [backup-simplify]: Simplify 1 into 1 22.302 * [taylor]: Taking taylor expansion of PI in a 22.302 * [backup-simplify]: Simplify PI into PI 22.302 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.302 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.302 * [taylor]: Taking taylor expansion of a in a 22.302 * [backup-simplify]: Simplify 0 into 0 22.302 * [backup-simplify]: Simplify 1 into 1 22.303 * [backup-simplify]: Simplify (/ 1 1) into 1 22.303 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.303 * [taylor]: Taking taylor expansion of b in a 22.303 * [backup-simplify]: Simplify b into b 22.303 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.303 * [backup-simplify]: Simplify (* 0 PI) into 0 22.304 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 22.304 * [backup-simplify]: Simplify (+ 1 0) into 1 22.305 * [backup-simplify]: Simplify (/ PI 1) into PI 22.305 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 22.305 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 22.305 * [taylor]: Taking taylor expansion of 1/2 in b 22.305 * [backup-simplify]: Simplify 1/2 into 1/2 22.305 * [taylor]: Taking taylor expansion of PI in b 22.305 * [backup-simplify]: Simplify PI into PI 22.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 22.305 * [backup-simplify]: Simplify 0 into 0 22.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 22.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.307 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 22.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 22.307 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 22.307 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 22.307 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 22.307 * [taylor]: Taking taylor expansion of 1/2 in b 22.307 * [backup-simplify]: Simplify 1/2 into 1/2 22.307 * [taylor]: Taking taylor expansion of (/ PI b) in b 22.307 * [taylor]: Taking taylor expansion of PI in b 22.307 * [backup-simplify]: Simplify PI into PI 22.308 * [taylor]: Taking taylor expansion of b in b 22.308 * [backup-simplify]: Simplify 0 into 0 22.308 * [backup-simplify]: Simplify 1 into 1 22.308 * [backup-simplify]: Simplify (/ PI 1) into PI 22.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.310 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 22.310 * [backup-simplify]: Simplify (- 0) into 0 22.310 * [backup-simplify]: Simplify 0 into 0 22.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 22.311 * [backup-simplify]: Simplify 0 into 0 22.312 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 22.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 22.314 * [backup-simplify]: Simplify (+ 0 0) into 0 22.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 22.315 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 22.316 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 22.316 * [taylor]: Taking taylor expansion of 1/2 in b 22.316 * [backup-simplify]: Simplify 1/2 into 1/2 22.316 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 22.316 * [taylor]: Taking taylor expansion of PI in b 22.316 * [backup-simplify]: Simplify PI into PI 22.316 * [taylor]: Taking taylor expansion of (pow b 2) in b 22.316 * [taylor]: Taking taylor expansion of b in b 22.316 * [backup-simplify]: Simplify 0 into 0 22.316 * [backup-simplify]: Simplify 1 into 1 22.316 * [backup-simplify]: Simplify (* 1 1) into 1 22.317 * [backup-simplify]: Simplify (/ PI 1) into PI 22.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.334 * [backup-simplify]: Simplify 0 into 0 22.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.337 * [backup-simplify]: Simplify (- 0) into 0 22.337 * [backup-simplify]: Simplify 0 into 0 22.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.338 * [backup-simplify]: Simplify 0 into 0 22.338 * [backup-simplify]: Simplify 0 into 0 22.339 * [backup-simplify]: Simplify (* (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ 1 (/ 1 (- a)))) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 22.339 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 22.339 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 22.339 * [taylor]: Taking taylor expansion of 1/2 in b 22.339 * [backup-simplify]: Simplify 1/2 into 1/2 22.339 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 22.339 * [taylor]: Taking taylor expansion of (* a PI) in b 22.339 * [taylor]: Taking taylor expansion of a in b 22.339 * [backup-simplify]: Simplify a into a 22.339 * [taylor]: Taking taylor expansion of PI in b 22.339 * [backup-simplify]: Simplify PI into PI 22.339 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 22.339 * [taylor]: Taking taylor expansion of (/ 1 a) in b 22.339 * [taylor]: Taking taylor expansion of a in b 22.339 * [backup-simplify]: Simplify a into a 22.339 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 22.339 * [taylor]: Taking taylor expansion of (/ 1 b) in b 22.339 * [taylor]: Taking taylor expansion of b in b 22.339 * [backup-simplify]: Simplify 0 into 0 22.339 * [backup-simplify]: Simplify 1 into 1 22.340 * [backup-simplify]: Simplify (/ 1 1) into 1 22.340 * [backup-simplify]: Simplify (* a PI) into (* a PI) 22.340 * [backup-simplify]: Simplify (+ 0 1) into 1 22.340 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 22.340 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 22.340 * [taylor]: Taking taylor expansion of 1/2 in a 22.340 * [backup-simplify]: Simplify 1/2 into 1/2 22.340 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 22.340 * [taylor]: Taking taylor expansion of (* a PI) in a 22.340 * [taylor]: Taking taylor expansion of a in a 22.341 * [backup-simplify]: Simplify 0 into 0 22.341 * [backup-simplify]: Simplify 1 into 1 22.341 * [taylor]: Taking taylor expansion of PI in a 22.341 * [backup-simplify]: Simplify PI into PI 22.341 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.341 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.341 * [taylor]: Taking taylor expansion of a in a 22.341 * [backup-simplify]: Simplify 0 into 0 22.341 * [backup-simplify]: Simplify 1 into 1 22.341 * [backup-simplify]: Simplify (/ 1 1) into 1 22.341 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.341 * [taylor]: Taking taylor expansion of b in a 22.341 * [backup-simplify]: Simplify b into b 22.341 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.342 * [backup-simplify]: Simplify (* 0 PI) into 0 22.343 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 22.344 * [backup-simplify]: Simplify (+ 1 0) into 1 22.344 * [backup-simplify]: Simplify (/ PI 1) into PI 22.344 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 22.345 * [taylor]: Taking taylor expansion of 1/2 in a 22.345 * [backup-simplify]: Simplify 1/2 into 1/2 22.345 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 22.345 * [taylor]: Taking taylor expansion of (* a PI) in a 22.345 * [taylor]: Taking taylor expansion of a in a 22.345 * [backup-simplify]: Simplify 0 into 0 22.345 * [backup-simplify]: Simplify 1 into 1 22.345 * [taylor]: Taking taylor expansion of PI in a 22.345 * [backup-simplify]: Simplify PI into PI 22.345 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.345 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.345 * [taylor]: Taking taylor expansion of a in a 22.345 * [backup-simplify]: Simplify 0 into 0 22.345 * [backup-simplify]: Simplify 1 into 1 22.345 * [backup-simplify]: Simplify (/ 1 1) into 1 22.345 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.345 * [taylor]: Taking taylor expansion of b in a 22.345 * [backup-simplify]: Simplify b into b 22.345 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.346 * [backup-simplify]: Simplify (* 0 PI) into 0 22.348 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 22.348 * [backup-simplify]: Simplify (+ 1 0) into 1 22.349 * [backup-simplify]: Simplify (/ PI 1) into PI 22.349 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 22.349 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 22.349 * [taylor]: Taking taylor expansion of 1/2 in b 22.349 * [backup-simplify]: Simplify 1/2 into 1/2 22.349 * [taylor]: Taking taylor expansion of PI in b 22.349 * [backup-simplify]: Simplify PI into PI 22.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 22.350 * [backup-simplify]: Simplify 0 into 0 22.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 22.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.352 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 22.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 22.354 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 22.354 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 22.354 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 22.354 * [taylor]: Taking taylor expansion of 1/2 in b 22.354 * [backup-simplify]: Simplify 1/2 into 1/2 22.354 * [taylor]: Taking taylor expansion of (/ PI b) in b 22.354 * [taylor]: Taking taylor expansion of PI in b 22.354 * [backup-simplify]: Simplify PI into PI 22.354 * [taylor]: Taking taylor expansion of b in b 22.354 * [backup-simplify]: Simplify 0 into 0 22.354 * [backup-simplify]: Simplify 1 into 1 22.354 * [backup-simplify]: Simplify (/ PI 1) into PI 22.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 22.357 * [backup-simplify]: Simplify (- 0) into 0 22.357 * [backup-simplify]: Simplify 0 into 0 22.357 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 22.357 * [backup-simplify]: Simplify 0 into 0 22.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 22.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 22.359 * [backup-simplify]: Simplify (+ 0 0) into 0 22.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 22.360 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 22.360 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 22.360 * [taylor]: Taking taylor expansion of 1/2 in b 22.360 * [backup-simplify]: Simplify 1/2 into 1/2 22.360 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 22.360 * [taylor]: Taking taylor expansion of PI in b 22.360 * [backup-simplify]: Simplify PI into PI 22.360 * [taylor]: Taking taylor expansion of (pow b 2) in b 22.360 * [taylor]: Taking taylor expansion of b in b 22.360 * [backup-simplify]: Simplify 0 into 0 22.360 * [backup-simplify]: Simplify 1 into 1 22.361 * [backup-simplify]: Simplify (* 1 1) into 1 22.361 * [backup-simplify]: Simplify (/ PI 1) into PI 22.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.365 * [backup-simplify]: Simplify 0 into 0 22.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.367 * [backup-simplify]: Simplify (- 0) into 0 22.367 * [backup-simplify]: Simplify 0 into 0 22.368 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.368 * [backup-simplify]: Simplify 0 into 0 22.368 * [backup-simplify]: Simplify 0 into 0 22.368 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1 1) 22.368 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 22.368 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 22.368 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 22.368 * [taylor]: Taking taylor expansion of PI in b 22.368 * [backup-simplify]: Simplify PI into PI 22.368 * [taylor]: Taking taylor expansion of (+ a b) in b 22.368 * [taylor]: Taking taylor expansion of a in b 22.368 * [backup-simplify]: Simplify a into a 22.368 * [taylor]: Taking taylor expansion of b in b 22.368 * [backup-simplify]: Simplify 0 into 0 22.368 * [backup-simplify]: Simplify 1 into 1 22.368 * [backup-simplify]: Simplify (+ a 0) into a 22.368 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 22.368 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 22.368 * [taylor]: Taking taylor expansion of PI in a 22.369 * [backup-simplify]: Simplify PI into PI 22.369 * [taylor]: Taking taylor expansion of (+ a b) in a 22.369 * [taylor]: Taking taylor expansion of a in a 22.369 * [backup-simplify]: Simplify 0 into 0 22.369 * [backup-simplify]: Simplify 1 into 1 22.369 * [taylor]: Taking taylor expansion of b in a 22.369 * [backup-simplify]: Simplify b into b 22.369 * [backup-simplify]: Simplify (+ 0 b) into b 22.369 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 22.369 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 22.369 * [taylor]: Taking taylor expansion of PI in a 22.369 * [backup-simplify]: Simplify PI into PI 22.369 * [taylor]: Taking taylor expansion of (+ a b) in a 22.369 * [taylor]: Taking taylor expansion of a in a 22.369 * [backup-simplify]: Simplify 0 into 0 22.369 * [backup-simplify]: Simplify 1 into 1 22.369 * [taylor]: Taking taylor expansion of b in a 22.369 * [backup-simplify]: Simplify b into b 22.369 * [backup-simplify]: Simplify (+ 0 b) into b 22.369 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 22.369 * [taylor]: Taking taylor expansion of (/ PI b) in b 22.369 * [taylor]: Taking taylor expansion of PI in b 22.369 * [backup-simplify]: Simplify PI into PI 22.369 * [taylor]: Taking taylor expansion of b in b 22.369 * [backup-simplify]: Simplify 0 into 0 22.369 * [backup-simplify]: Simplify 1 into 1 22.369 * [backup-simplify]: Simplify (/ PI 1) into PI 22.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.370 * [backup-simplify]: Simplify 0 into 0 22.370 * [backup-simplify]: Simplify (+ 1 0) into 1 22.370 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 22.370 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 22.370 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 22.370 * [taylor]: Taking taylor expansion of PI in b 22.370 * [backup-simplify]: Simplify PI into PI 22.370 * [taylor]: Taking taylor expansion of (pow b 2) in b 22.371 * [taylor]: Taking taylor expansion of b in b 22.371 * [backup-simplify]: Simplify 0 into 0 22.371 * [backup-simplify]: Simplify 1 into 1 22.371 * [backup-simplify]: Simplify (* 1 1) into 1 22.371 * [backup-simplify]: Simplify (/ PI 1) into PI 22.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.374 * [backup-simplify]: Simplify (- 0) into 0 22.374 * [backup-simplify]: Simplify 0 into 0 22.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.374 * [backup-simplify]: Simplify 0 into 0 22.375 * [backup-simplify]: Simplify (+ 0 0) into 0 22.375 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 22.375 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 22.375 * [taylor]: Taking taylor expansion of PI in b 22.375 * [backup-simplify]: Simplify PI into PI 22.375 * [taylor]: Taking taylor expansion of (pow b 3) in b 22.375 * [taylor]: Taking taylor expansion of b in b 22.375 * [backup-simplify]: Simplify 0 into 0 22.375 * [backup-simplify]: Simplify 1 into 1 22.375 * [backup-simplify]: Simplify (* 1 1) into 1 22.376 * [backup-simplify]: Simplify (* 1 1) into 1 22.376 * [backup-simplify]: Simplify (/ PI 1) into PI 22.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.381 * [backup-simplify]: Simplify 0 into 0 22.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.383 * [backup-simplify]: Simplify (- 0) into 0 22.383 * [backup-simplify]: Simplify 0 into 0 22.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.384 * [backup-simplify]: Simplify 0 into 0 22.384 * [backup-simplify]: Simplify 0 into 0 22.384 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 22.384 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 22.384 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 22.384 * [taylor]: Taking taylor expansion of PI in b 22.384 * [backup-simplify]: Simplify PI into PI 22.384 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 22.384 * [taylor]: Taking taylor expansion of (/ 1 a) in b 22.384 * [taylor]: Taking taylor expansion of a in b 22.384 * [backup-simplify]: Simplify a into a 22.384 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 22.384 * [taylor]: Taking taylor expansion of (/ 1 b) in b 22.384 * [taylor]: Taking taylor expansion of b in b 22.384 * [backup-simplify]: Simplify 0 into 0 22.384 * [backup-simplify]: Simplify 1 into 1 22.385 * [backup-simplify]: Simplify (/ 1 1) into 1 22.385 * [backup-simplify]: Simplify (+ 0 1) into 1 22.385 * [backup-simplify]: Simplify (/ PI 1) into PI 22.385 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 22.385 * [taylor]: Taking taylor expansion of PI in a 22.385 * [backup-simplify]: Simplify PI into PI 22.385 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.385 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.385 * [taylor]: Taking taylor expansion of a in a 22.385 * [backup-simplify]: Simplify 0 into 0 22.385 * [backup-simplify]: Simplify 1 into 1 22.386 * [backup-simplify]: Simplify (/ 1 1) into 1 22.386 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.386 * [taylor]: Taking taylor expansion of b in a 22.386 * [backup-simplify]: Simplify b into b 22.386 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.386 * [backup-simplify]: Simplify (+ 1 0) into 1 22.386 * [backup-simplify]: Simplify (/ PI 1) into PI 22.386 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 22.386 * [taylor]: Taking taylor expansion of PI in a 22.386 * [backup-simplify]: Simplify PI into PI 22.387 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.387 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.387 * [taylor]: Taking taylor expansion of a in a 22.387 * [backup-simplify]: Simplify 0 into 0 22.387 * [backup-simplify]: Simplify 1 into 1 22.387 * [backup-simplify]: Simplify (/ 1 1) into 1 22.387 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.387 * [taylor]: Taking taylor expansion of b in a 22.387 * [backup-simplify]: Simplify b into b 22.387 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.388 * [backup-simplify]: Simplify (+ 1 0) into 1 22.388 * [backup-simplify]: Simplify (/ PI 1) into PI 22.388 * [taylor]: Taking taylor expansion of PI in b 22.388 * [backup-simplify]: Simplify PI into PI 22.388 * [backup-simplify]: Simplify 0 into 0 22.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.389 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 22.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 22.389 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 22.389 * [taylor]: Taking taylor expansion of (/ PI b) in b 22.389 * [taylor]: Taking taylor expansion of PI in b 22.389 * [backup-simplify]: Simplify PI into PI 22.389 * [taylor]: Taking taylor expansion of b in b 22.389 * [backup-simplify]: Simplify 0 into 0 22.389 * [backup-simplify]: Simplify 1 into 1 22.390 * [backup-simplify]: Simplify (/ PI 1) into PI 22.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.391 * [backup-simplify]: Simplify (- 0) into 0 22.391 * [backup-simplify]: Simplify 0 into 0 22.391 * [backup-simplify]: Simplify 0 into 0 22.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 22.392 * [backup-simplify]: Simplify (+ 0 0) into 0 22.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 22.393 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 22.393 * [taylor]: Taking taylor expansion of PI in b 22.393 * [backup-simplify]: Simplify PI into PI 22.393 * [taylor]: Taking taylor expansion of (pow b 2) in b 22.393 * [taylor]: Taking taylor expansion of b in b 22.393 * [backup-simplify]: Simplify 0 into 0 22.393 * [backup-simplify]: Simplify 1 into 1 22.393 * [backup-simplify]: Simplify (* 1 1) into 1 22.394 * [backup-simplify]: Simplify (/ PI 1) into PI 22.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.399 * [backup-simplify]: Simplify 0 into 0 22.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.401 * [backup-simplify]: Simplify (- 0) into 0 22.401 * [backup-simplify]: Simplify 0 into 0 22.401 * [backup-simplify]: Simplify 0 into 0 22.401 * [backup-simplify]: Simplify 0 into 0 22.401 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 22.401 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 22.401 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 22.401 * [taylor]: Taking taylor expansion of -1 in b 22.402 * [backup-simplify]: Simplify -1 into -1 22.402 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 22.402 * [taylor]: Taking taylor expansion of PI in b 22.402 * [backup-simplify]: Simplify PI into PI 22.402 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 22.402 * [taylor]: Taking taylor expansion of (/ 1 a) in b 22.402 * [taylor]: Taking taylor expansion of a in b 22.402 * [backup-simplify]: Simplify a into a 22.402 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 22.402 * [taylor]: Taking taylor expansion of (/ 1 b) in b 22.402 * [taylor]: Taking taylor expansion of b in b 22.402 * [backup-simplify]: Simplify 0 into 0 22.402 * [backup-simplify]: Simplify 1 into 1 22.402 * [backup-simplify]: Simplify (/ 1 1) into 1 22.403 * [backup-simplify]: Simplify (+ 0 1) into 1 22.404 * [backup-simplify]: Simplify (/ PI 1) into PI 22.404 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 22.404 * [taylor]: Taking taylor expansion of -1 in a 22.404 * [backup-simplify]: Simplify -1 into -1 22.404 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 22.404 * [taylor]: Taking taylor expansion of PI in a 22.404 * [backup-simplify]: Simplify PI into PI 22.404 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.404 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.404 * [taylor]: Taking taylor expansion of a in a 22.404 * [backup-simplify]: Simplify 0 into 0 22.404 * [backup-simplify]: Simplify 1 into 1 22.404 * [backup-simplify]: Simplify (/ 1 1) into 1 22.404 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.404 * [taylor]: Taking taylor expansion of b in a 22.404 * [backup-simplify]: Simplify b into b 22.404 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.405 * [backup-simplify]: Simplify (+ 1 0) into 1 22.406 * [backup-simplify]: Simplify (/ PI 1) into PI 22.406 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 22.406 * [taylor]: Taking taylor expansion of -1 in a 22.406 * [backup-simplify]: Simplify -1 into -1 22.406 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 22.406 * [taylor]: Taking taylor expansion of PI in a 22.406 * [backup-simplify]: Simplify PI into PI 22.406 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.406 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.406 * [taylor]: Taking taylor expansion of a in a 22.406 * [backup-simplify]: Simplify 0 into 0 22.406 * [backup-simplify]: Simplify 1 into 1 22.406 * [backup-simplify]: Simplify (/ 1 1) into 1 22.406 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.406 * [taylor]: Taking taylor expansion of b in a 22.406 * [backup-simplify]: Simplify b into b 22.407 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.407 * [backup-simplify]: Simplify (+ 1 0) into 1 22.408 * [backup-simplify]: Simplify (/ PI 1) into PI 22.408 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 22.408 * [taylor]: Taking taylor expansion of (* -1 PI) in b 22.408 * [taylor]: Taking taylor expansion of -1 in b 22.408 * [backup-simplify]: Simplify -1 into -1 22.408 * [taylor]: Taking taylor expansion of PI in b 22.408 * [backup-simplify]: Simplify PI into PI 22.409 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 22.409 * [backup-simplify]: Simplify 0 into 0 22.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.410 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 22.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 22.412 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 22.412 * [taylor]: Taking taylor expansion of (/ PI b) in b 22.412 * [taylor]: Taking taylor expansion of PI in b 22.412 * [backup-simplify]: Simplify PI into PI 22.412 * [taylor]: Taking taylor expansion of b in b 22.412 * [backup-simplify]: Simplify 0 into 0 22.412 * [backup-simplify]: Simplify 1 into 1 22.412 * [backup-simplify]: Simplify (/ PI 1) into PI 22.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.415 * [backup-simplify]: Simplify 0 into 0 22.416 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 22.416 * [backup-simplify]: Simplify 0 into 0 22.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 22.418 * [backup-simplify]: Simplify (+ 0 0) into 0 22.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 22.420 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 22.420 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 22.420 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 22.420 * [taylor]: Taking taylor expansion of PI in b 22.420 * [backup-simplify]: Simplify PI into PI 22.421 * [taylor]: Taking taylor expansion of (pow b 2) in b 22.421 * [taylor]: Taking taylor expansion of b in b 22.421 * [backup-simplify]: Simplify 0 into 0 22.421 * [backup-simplify]: Simplify 1 into 1 22.421 * [backup-simplify]: Simplify (* 1 1) into 1 22.422 * [backup-simplify]: Simplify (/ PI 1) into PI 22.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.428 * [backup-simplify]: Simplify (- 0) into 0 22.428 * [backup-simplify]: Simplify 0 into 0 22.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.429 * [backup-simplify]: Simplify 0 into 0 22.430 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.431 * [backup-simplify]: Simplify 0 into 0 22.431 * [backup-simplify]: Simplify 0 into 0 22.431 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 22.431 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 22.431 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 22.431 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 22.431 * [taylor]: Taking taylor expansion of PI in b 22.431 * [backup-simplify]: Simplify PI into PI 22.431 * [taylor]: Taking taylor expansion of (+ a b) in b 22.431 * [taylor]: Taking taylor expansion of a in b 22.431 * [backup-simplify]: Simplify a into a 22.431 * [taylor]: Taking taylor expansion of b in b 22.431 * [backup-simplify]: Simplify 0 into 0 22.431 * [backup-simplify]: Simplify 1 into 1 22.431 * [backup-simplify]: Simplify (+ a 0) into a 22.431 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 22.431 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 22.431 * [taylor]: Taking taylor expansion of PI in a 22.431 * [backup-simplify]: Simplify PI into PI 22.431 * [taylor]: Taking taylor expansion of (+ a b) in a 22.431 * [taylor]: Taking taylor expansion of a in a 22.431 * [backup-simplify]: Simplify 0 into 0 22.431 * [backup-simplify]: Simplify 1 into 1 22.431 * [taylor]: Taking taylor expansion of b in a 22.431 * [backup-simplify]: Simplify b into b 22.431 * [backup-simplify]: Simplify (+ 0 b) into b 22.431 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 22.431 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 22.431 * [taylor]: Taking taylor expansion of PI in a 22.431 * [backup-simplify]: Simplify PI into PI 22.431 * [taylor]: Taking taylor expansion of (+ a b) in a 22.431 * [taylor]: Taking taylor expansion of a in a 22.431 * [backup-simplify]: Simplify 0 into 0 22.432 * [backup-simplify]: Simplify 1 into 1 22.432 * [taylor]: Taking taylor expansion of b in a 22.432 * [backup-simplify]: Simplify b into b 22.432 * [backup-simplify]: Simplify (+ 0 b) into b 22.432 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 22.432 * [taylor]: Taking taylor expansion of (/ PI b) in b 22.432 * [taylor]: Taking taylor expansion of PI in b 22.432 * [backup-simplify]: Simplify PI into PI 22.432 * [taylor]: Taking taylor expansion of b in b 22.432 * [backup-simplify]: Simplify 0 into 0 22.432 * [backup-simplify]: Simplify 1 into 1 22.432 * [backup-simplify]: Simplify (/ PI 1) into PI 22.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.433 * [backup-simplify]: Simplify 0 into 0 22.434 * [backup-simplify]: Simplify (+ 1 0) into 1 22.434 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 22.434 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 22.434 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 22.434 * [taylor]: Taking taylor expansion of PI in b 22.434 * [backup-simplify]: Simplify PI into PI 22.434 * [taylor]: Taking taylor expansion of (pow b 2) in b 22.434 * [taylor]: Taking taylor expansion of b in b 22.434 * [backup-simplify]: Simplify 0 into 0 22.434 * [backup-simplify]: Simplify 1 into 1 22.435 * [backup-simplify]: Simplify (* 1 1) into 1 22.435 * [backup-simplify]: Simplify (/ PI 1) into PI 22.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.439 * [backup-simplify]: Simplify (- 0) into 0 22.439 * [backup-simplify]: Simplify 0 into 0 22.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.440 * [backup-simplify]: Simplify 0 into 0 22.441 * [backup-simplify]: Simplify (+ 0 0) into 0 22.441 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 22.441 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 22.441 * [taylor]: Taking taylor expansion of PI in b 22.441 * [backup-simplify]: Simplify PI into PI 22.441 * [taylor]: Taking taylor expansion of (pow b 3) in b 22.441 * [taylor]: Taking taylor expansion of b in b 22.441 * [backup-simplify]: Simplify 0 into 0 22.441 * [backup-simplify]: Simplify 1 into 1 22.442 * [backup-simplify]: Simplify (* 1 1) into 1 22.442 * [backup-simplify]: Simplify (* 1 1) into 1 22.442 * [backup-simplify]: Simplify (/ PI 1) into PI 22.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.451 * [backup-simplify]: Simplify 0 into 0 22.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.454 * [backup-simplify]: Simplify (- 0) into 0 22.454 * [backup-simplify]: Simplify 0 into 0 22.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.455 * [backup-simplify]: Simplify 0 into 0 22.455 * [backup-simplify]: Simplify 0 into 0 22.455 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 22.455 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 22.455 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 22.455 * [taylor]: Taking taylor expansion of PI in b 22.455 * [backup-simplify]: Simplify PI into PI 22.455 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 22.455 * [taylor]: Taking taylor expansion of (/ 1 a) in b 22.455 * [taylor]: Taking taylor expansion of a in b 22.455 * [backup-simplify]: Simplify a into a 22.455 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 22.455 * [taylor]: Taking taylor expansion of (/ 1 b) in b 22.455 * [taylor]: Taking taylor expansion of b in b 22.455 * [backup-simplify]: Simplify 0 into 0 22.455 * [backup-simplify]: Simplify 1 into 1 22.456 * [backup-simplify]: Simplify (/ 1 1) into 1 22.456 * [backup-simplify]: Simplify (+ 0 1) into 1 22.457 * [backup-simplify]: Simplify (/ PI 1) into PI 22.457 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 22.457 * [taylor]: Taking taylor expansion of PI in a 22.457 * [backup-simplify]: Simplify PI into PI 22.457 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.457 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.457 * [taylor]: Taking taylor expansion of a in a 22.457 * [backup-simplify]: Simplify 0 into 0 22.457 * [backup-simplify]: Simplify 1 into 1 22.457 * [backup-simplify]: Simplify (/ 1 1) into 1 22.457 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.457 * [taylor]: Taking taylor expansion of b in a 22.457 * [backup-simplify]: Simplify b into b 22.457 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.458 * [backup-simplify]: Simplify (+ 1 0) into 1 22.458 * [backup-simplify]: Simplify (/ PI 1) into PI 22.458 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 22.458 * [taylor]: Taking taylor expansion of PI in a 22.458 * [backup-simplify]: Simplify PI into PI 22.458 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.458 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.458 * [taylor]: Taking taylor expansion of a in a 22.458 * [backup-simplify]: Simplify 0 into 0 22.458 * [backup-simplify]: Simplify 1 into 1 22.459 * [backup-simplify]: Simplify (/ 1 1) into 1 22.459 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.459 * [taylor]: Taking taylor expansion of b in a 22.459 * [backup-simplify]: Simplify b into b 22.459 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.459 * [backup-simplify]: Simplify (+ 1 0) into 1 22.460 * [backup-simplify]: Simplify (/ PI 1) into PI 22.460 * [taylor]: Taking taylor expansion of PI in b 22.460 * [backup-simplify]: Simplify PI into PI 22.460 * [backup-simplify]: Simplify 0 into 0 22.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.461 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 22.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 22.461 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 22.462 * [taylor]: Taking taylor expansion of (/ PI b) in b 22.462 * [taylor]: Taking taylor expansion of PI in b 22.462 * [backup-simplify]: Simplify PI into PI 22.462 * [taylor]: Taking taylor expansion of b in b 22.462 * [backup-simplify]: Simplify 0 into 0 22.462 * [backup-simplify]: Simplify 1 into 1 22.462 * [backup-simplify]: Simplify (/ PI 1) into PI 22.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.464 * [backup-simplify]: Simplify (- 0) into 0 22.464 * [backup-simplify]: Simplify 0 into 0 22.464 * [backup-simplify]: Simplify 0 into 0 22.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 22.469 * [backup-simplify]: Simplify (+ 0 0) into 0 22.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 22.470 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 22.470 * [taylor]: Taking taylor expansion of PI in b 22.470 * [backup-simplify]: Simplify PI into PI 22.470 * [taylor]: Taking taylor expansion of (pow b 2) in b 22.470 * [taylor]: Taking taylor expansion of b in b 22.470 * [backup-simplify]: Simplify 0 into 0 22.470 * [backup-simplify]: Simplify 1 into 1 22.470 * [backup-simplify]: Simplify (* 1 1) into 1 22.471 * [backup-simplify]: Simplify (/ PI 1) into PI 22.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.474 * [backup-simplify]: Simplify 0 into 0 22.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.475 * [backup-simplify]: Simplify (- 0) into 0 22.475 * [backup-simplify]: Simplify 0 into 0 22.475 * [backup-simplify]: Simplify 0 into 0 22.475 * [backup-simplify]: Simplify 0 into 0 22.475 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 22.476 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 22.476 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 22.476 * [taylor]: Taking taylor expansion of -1 in b 22.476 * [backup-simplify]: Simplify -1 into -1 22.476 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 22.476 * [taylor]: Taking taylor expansion of PI in b 22.476 * [backup-simplify]: Simplify PI into PI 22.476 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 22.476 * [taylor]: Taking taylor expansion of (/ 1 a) in b 22.476 * [taylor]: Taking taylor expansion of a in b 22.476 * [backup-simplify]: Simplify a into a 22.476 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 22.476 * [taylor]: Taking taylor expansion of (/ 1 b) in b 22.476 * [taylor]: Taking taylor expansion of b in b 22.476 * [backup-simplify]: Simplify 0 into 0 22.476 * [backup-simplify]: Simplify 1 into 1 22.476 * [backup-simplify]: Simplify (/ 1 1) into 1 22.476 * [backup-simplify]: Simplify (+ 0 1) into 1 22.477 * [backup-simplify]: Simplify (/ PI 1) into PI 22.477 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 22.477 * [taylor]: Taking taylor expansion of -1 in a 22.477 * [backup-simplify]: Simplify -1 into -1 22.477 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 22.477 * [taylor]: Taking taylor expansion of PI in a 22.477 * [backup-simplify]: Simplify PI into PI 22.477 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.477 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.477 * [taylor]: Taking taylor expansion of a in a 22.477 * [backup-simplify]: Simplify 0 into 0 22.477 * [backup-simplify]: Simplify 1 into 1 22.477 * [backup-simplify]: Simplify (/ 1 1) into 1 22.477 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.477 * [taylor]: Taking taylor expansion of b in a 22.477 * [backup-simplify]: Simplify b into b 22.477 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.477 * [backup-simplify]: Simplify (+ 1 0) into 1 22.478 * [backup-simplify]: Simplify (/ PI 1) into PI 22.478 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 22.478 * [taylor]: Taking taylor expansion of -1 in a 22.478 * [backup-simplify]: Simplify -1 into -1 22.478 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 22.478 * [taylor]: Taking taylor expansion of PI in a 22.478 * [backup-simplify]: Simplify PI into PI 22.478 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.478 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.478 * [taylor]: Taking taylor expansion of a in a 22.478 * [backup-simplify]: Simplify 0 into 0 22.478 * [backup-simplify]: Simplify 1 into 1 22.478 * [backup-simplify]: Simplify (/ 1 1) into 1 22.478 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.478 * [taylor]: Taking taylor expansion of b in a 22.478 * [backup-simplify]: Simplify b into b 22.478 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.478 * [backup-simplify]: Simplify (+ 1 0) into 1 22.479 * [backup-simplify]: Simplify (/ PI 1) into PI 22.479 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 22.479 * [taylor]: Taking taylor expansion of (* -1 PI) in b 22.479 * [taylor]: Taking taylor expansion of -1 in b 22.479 * [backup-simplify]: Simplify -1 into -1 22.479 * [taylor]: Taking taylor expansion of PI in b 22.479 * [backup-simplify]: Simplify PI into PI 22.480 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 22.480 * [backup-simplify]: Simplify 0 into 0 22.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.480 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 22.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 22.481 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 22.481 * [taylor]: Taking taylor expansion of (/ PI b) in b 22.481 * [taylor]: Taking taylor expansion of PI in b 22.481 * [backup-simplify]: Simplify PI into PI 22.481 * [taylor]: Taking taylor expansion of b in b 22.481 * [backup-simplify]: Simplify 0 into 0 22.481 * [backup-simplify]: Simplify 1 into 1 22.481 * [backup-simplify]: Simplify (/ PI 1) into PI 22.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.483 * [backup-simplify]: Simplify 0 into 0 22.483 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 22.483 * [backup-simplify]: Simplify 0 into 0 22.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 22.484 * [backup-simplify]: Simplify (+ 0 0) into 0 22.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 22.486 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 22.486 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 22.486 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 22.486 * [taylor]: Taking taylor expansion of PI in b 22.486 * [backup-simplify]: Simplify PI into PI 22.486 * [taylor]: Taking taylor expansion of (pow b 2) in b 22.486 * [taylor]: Taking taylor expansion of b in b 22.486 * [backup-simplify]: Simplify 0 into 0 22.486 * [backup-simplify]: Simplify 1 into 1 22.486 * [backup-simplify]: Simplify (* 1 1) into 1 22.486 * [backup-simplify]: Simplify (/ PI 1) into PI 22.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.490 * [backup-simplify]: Simplify (- 0) into 0 22.490 * [backup-simplify]: Simplify 0 into 0 22.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.491 * [backup-simplify]: Simplify 0 into 0 22.491 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.491 * [backup-simplify]: Simplify 0 into 0 22.491 * [backup-simplify]: Simplify 0 into 0 22.492 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 22.492 * [backup-simplify]: Simplify (/ (/ (/ PI (+ a b)) 2) b) into (* 1/2 (/ PI (* b (+ a b)))) 22.492 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in (a b) around 0 22.492 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in b 22.492 * [taylor]: Taking taylor expansion of 1/2 in b 22.492 * [backup-simplify]: Simplify 1/2 into 1/2 22.492 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in b 22.492 * [taylor]: Taking taylor expansion of PI in b 22.492 * [backup-simplify]: Simplify PI into PI 22.492 * [taylor]: Taking taylor expansion of (* b (+ a b)) in b 22.492 * [taylor]: Taking taylor expansion of b in b 22.492 * [backup-simplify]: Simplify 0 into 0 22.492 * [backup-simplify]: Simplify 1 into 1 22.492 * [taylor]: Taking taylor expansion of (+ a b) in b 22.492 * [taylor]: Taking taylor expansion of a in b 22.492 * [backup-simplify]: Simplify a into a 22.492 * [taylor]: Taking taylor expansion of b in b 22.492 * [backup-simplify]: Simplify 0 into 0 22.492 * [backup-simplify]: Simplify 1 into 1 22.492 * [backup-simplify]: Simplify (+ a 0) into a 22.492 * [backup-simplify]: Simplify (* 0 a) into 0 22.492 * [backup-simplify]: Simplify (+ 0 1) into 1 22.493 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 a)) into a 22.493 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 22.493 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in a 22.493 * [taylor]: Taking taylor expansion of 1/2 in a 22.493 * [backup-simplify]: Simplify 1/2 into 1/2 22.493 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in a 22.493 * [taylor]: Taking taylor expansion of PI in a 22.493 * [backup-simplify]: Simplify PI into PI 22.493 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 22.493 * [taylor]: Taking taylor expansion of b in a 22.493 * [backup-simplify]: Simplify b into b 22.493 * [taylor]: Taking taylor expansion of (+ a b) in a 22.493 * [taylor]: Taking taylor expansion of a in a 22.493 * [backup-simplify]: Simplify 0 into 0 22.493 * [backup-simplify]: Simplify 1 into 1 22.493 * [taylor]: Taking taylor expansion of b in a 22.493 * [backup-simplify]: Simplify b into b 22.493 * [backup-simplify]: Simplify (+ 0 b) into b 22.493 * [backup-simplify]: Simplify (* b b) into (pow b 2) 22.493 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 22.493 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in a 22.493 * [taylor]: Taking taylor expansion of 1/2 in a 22.493 * [backup-simplify]: Simplify 1/2 into 1/2 22.493 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in a 22.493 * [taylor]: Taking taylor expansion of PI in a 22.493 * [backup-simplify]: Simplify PI into PI 22.493 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 22.493 * [taylor]: Taking taylor expansion of b in a 22.493 * [backup-simplify]: Simplify b into b 22.493 * [taylor]: Taking taylor expansion of (+ a b) in a 22.493 * [taylor]: Taking taylor expansion of a in a 22.493 * [backup-simplify]: Simplify 0 into 0 22.493 * [backup-simplify]: Simplify 1 into 1 22.493 * [taylor]: Taking taylor expansion of b in a 22.493 * [backup-simplify]: Simplify b into b 22.493 * [backup-simplify]: Simplify (+ 0 b) into b 22.493 * [backup-simplify]: Simplify (* b b) into (pow b 2) 22.493 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 22.493 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 22.493 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 22.493 * [taylor]: Taking taylor expansion of 1/2 in b 22.493 * [backup-simplify]: Simplify 1/2 into 1/2 22.493 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 22.493 * [taylor]: Taking taylor expansion of PI in b 22.493 * [backup-simplify]: Simplify PI into PI 22.493 * [taylor]: Taking taylor expansion of (pow b 2) in b 22.493 * [taylor]: Taking taylor expansion of b in b 22.493 * [backup-simplify]: Simplify 0 into 0 22.494 * [backup-simplify]: Simplify 1 into 1 22.494 * [backup-simplify]: Simplify (* 1 1) into 1 22.494 * [backup-simplify]: Simplify (/ PI 1) into PI 22.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 22.496 * [backup-simplify]: Simplify 0 into 0 22.496 * [backup-simplify]: Simplify (+ 1 0) into 1 22.496 * [backup-simplify]: Simplify (+ (* b 1) (* 0 b)) into b 22.496 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ b (pow b 2))))) into (- (/ PI (pow b 3))) 22.496 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 22.496 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 22.496 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 22.496 * [taylor]: Taking taylor expansion of 1/2 in b 22.496 * [backup-simplify]: Simplify 1/2 into 1/2 22.496 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 22.496 * [taylor]: Taking taylor expansion of PI in b 22.496 * [backup-simplify]: Simplify PI into PI 22.496 * [taylor]: Taking taylor expansion of (pow b 3) in b 22.496 * [taylor]: Taking taylor expansion of b in b 22.496 * [backup-simplify]: Simplify 0 into 0 22.496 * [backup-simplify]: Simplify 1 into 1 22.497 * [backup-simplify]: Simplify (* 1 1) into 1 22.497 * [backup-simplify]: Simplify (* 1 1) into 1 22.497 * [backup-simplify]: Simplify (/ PI 1) into PI 22.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 22.503 * [backup-simplify]: Simplify (- 0) into 0 22.503 * [backup-simplify]: Simplify 0 into 0 22.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 22.505 * [backup-simplify]: Simplify 0 into 0 22.505 * [backup-simplify]: Simplify (+ 0 0) into 0 22.505 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 1) (* 0 b))) into 0 22.506 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))) (* (- (/ PI (pow b 3))) (/ b (pow b 2))))) into (/ PI (pow b 4)) 22.506 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 4))) (+ (* 0 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 22.506 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 22.506 * [taylor]: Taking taylor expansion of 1/2 in b 22.506 * [backup-simplify]: Simplify 1/2 into 1/2 22.506 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 22.506 * [taylor]: Taking taylor expansion of PI in b 22.506 * [backup-simplify]: Simplify PI into PI 22.506 * [taylor]: Taking taylor expansion of (pow b 4) in b 22.506 * [taylor]: Taking taylor expansion of b in b 22.506 * [backup-simplify]: Simplify 0 into 0 22.506 * [backup-simplify]: Simplify 1 into 1 22.506 * [backup-simplify]: Simplify (* 1 1) into 1 22.506 * [backup-simplify]: Simplify (* 1 1) into 1 22.507 * [backup-simplify]: Simplify (/ PI 1) into PI 22.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 22.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 22.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.513 * [backup-simplify]: Simplify 0 into 0 22.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.516 * [backup-simplify]: Simplify (- 0) into 0 22.516 * [backup-simplify]: Simplify 0 into 0 22.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 22.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.518 * [backup-simplify]: Simplify 0 into 0 22.518 * [backup-simplify]: Simplify 0 into 0 22.518 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2) (/ 1 b)) into (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) 22.518 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 22.518 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in b 22.518 * [taylor]: Taking taylor expansion of 1/2 in b 22.518 * [backup-simplify]: Simplify 1/2 into 1/2 22.518 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in b 22.518 * [taylor]: Taking taylor expansion of (* b PI) in b 22.518 * [taylor]: Taking taylor expansion of b in b 22.518 * [backup-simplify]: Simplify 0 into 0 22.518 * [backup-simplify]: Simplify 1 into 1 22.518 * [taylor]: Taking taylor expansion of PI in b 22.518 * [backup-simplify]: Simplify PI into PI 22.518 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 22.518 * [taylor]: Taking taylor expansion of (/ 1 a) in b 22.518 * [taylor]: Taking taylor expansion of a in b 22.518 * [backup-simplify]: Simplify a into a 22.518 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 22.518 * [taylor]: Taking taylor expansion of (/ 1 b) in b 22.518 * [taylor]: Taking taylor expansion of b in b 22.518 * [backup-simplify]: Simplify 0 into 0 22.518 * [backup-simplify]: Simplify 1 into 1 22.518 * [backup-simplify]: Simplify (/ 1 1) into 1 22.519 * [backup-simplify]: Simplify (* 0 PI) into 0 22.520 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 22.520 * [backup-simplify]: Simplify (+ 0 1) into 1 22.520 * [backup-simplify]: Simplify (/ PI 1) into PI 22.520 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 22.520 * [taylor]: Taking taylor expansion of 1/2 in a 22.520 * [backup-simplify]: Simplify 1/2 into 1/2 22.520 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 22.520 * [taylor]: Taking taylor expansion of (* b PI) in a 22.520 * [taylor]: Taking taylor expansion of b in a 22.520 * [backup-simplify]: Simplify b into b 22.520 * [taylor]: Taking taylor expansion of PI in a 22.520 * [backup-simplify]: Simplify PI into PI 22.520 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.520 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.520 * [taylor]: Taking taylor expansion of a in a 22.520 * [backup-simplify]: Simplify 0 into 0 22.520 * [backup-simplify]: Simplify 1 into 1 22.521 * [backup-simplify]: Simplify (/ 1 1) into 1 22.521 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.521 * [taylor]: Taking taylor expansion of b in a 22.521 * [backup-simplify]: Simplify b into b 22.521 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.521 * [backup-simplify]: Simplify (* b PI) into (* PI b) 22.521 * [backup-simplify]: Simplify (+ 1 0) into 1 22.521 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 22.521 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 22.521 * [taylor]: Taking taylor expansion of 1/2 in a 22.521 * [backup-simplify]: Simplify 1/2 into 1/2 22.521 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 22.521 * [taylor]: Taking taylor expansion of (* b PI) in a 22.521 * [taylor]: Taking taylor expansion of b in a 22.521 * [backup-simplify]: Simplify b into b 22.521 * [taylor]: Taking taylor expansion of PI in a 22.521 * [backup-simplify]: Simplify PI into PI 22.521 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.521 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.521 * [taylor]: Taking taylor expansion of a in a 22.521 * [backup-simplify]: Simplify 0 into 0 22.521 * [backup-simplify]: Simplify 1 into 1 22.522 * [backup-simplify]: Simplify (/ 1 1) into 1 22.522 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.522 * [taylor]: Taking taylor expansion of b in a 22.522 * [backup-simplify]: Simplify b into b 22.522 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.522 * [backup-simplify]: Simplify (* b PI) into (* PI b) 22.522 * [backup-simplify]: Simplify (+ 1 0) into 1 22.522 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 22.522 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 22.522 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 22.522 * [taylor]: Taking taylor expansion of 1/2 in b 22.522 * [backup-simplify]: Simplify 1/2 into 1/2 22.522 * [taylor]: Taking taylor expansion of (* PI b) in b 22.522 * [taylor]: Taking taylor expansion of PI in b 22.522 * [backup-simplify]: Simplify PI into PI 22.522 * [taylor]: Taking taylor expansion of b in b 22.522 * [backup-simplify]: Simplify 0 into 0 22.522 * [backup-simplify]: Simplify 1 into 1 22.523 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 22.524 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 22.524 * [backup-simplify]: Simplify (* PI 0) into 0 22.525 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 22.525 * [backup-simplify]: Simplify 0 into 0 22.525 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 22.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.526 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 22.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 22.527 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 22.527 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 22.527 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 22.527 * [taylor]: Taking taylor expansion of 1/2 in b 22.527 * [backup-simplify]: Simplify 1/2 into 1/2 22.527 * [taylor]: Taking taylor expansion of PI in b 22.527 * [backup-simplify]: Simplify PI into PI 22.528 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 22.528 * [backup-simplify]: Simplify (- 0) into 0 22.528 * [backup-simplify]: Simplify 0 into 0 22.529 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.529 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 22.529 * [backup-simplify]: Simplify 0 into 0 22.530 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 22.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 22.531 * [backup-simplify]: Simplify (+ 0 0) into 0 22.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 22.532 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 22.532 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 22.532 * [taylor]: Taking taylor expansion of 1/2 in b 22.532 * [backup-simplify]: Simplify 1/2 into 1/2 22.532 * [taylor]: Taking taylor expansion of (/ PI b) in b 22.532 * [taylor]: Taking taylor expansion of PI in b 22.532 * [backup-simplify]: Simplify PI into PI 22.532 * [taylor]: Taking taylor expansion of b in b 22.532 * [backup-simplify]: Simplify 0 into 0 22.532 * [backup-simplify]: Simplify 1 into 1 22.533 * [backup-simplify]: Simplify (/ PI 1) into PI 22.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.536 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.536 * [backup-simplify]: Simplify 0 into 0 22.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.538 * [backup-simplify]: Simplify (- 0) into 0 22.538 * [backup-simplify]: Simplify 0 into 0 22.539 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 22.540 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 22.540 * [backup-simplify]: Simplify 0 into 0 22.540 * [backup-simplify]: Simplify 0 into 0 22.541 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ 1 (- b))) into (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) 22.541 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 22.541 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in b 22.541 * [taylor]: Taking taylor expansion of 1/2 in b 22.541 * [backup-simplify]: Simplify 1/2 into 1/2 22.541 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in b 22.541 * [taylor]: Taking taylor expansion of (* b PI) in b 22.541 * [taylor]: Taking taylor expansion of b in b 22.541 * [backup-simplify]: Simplify 0 into 0 22.541 * [backup-simplify]: Simplify 1 into 1 22.541 * [taylor]: Taking taylor expansion of PI in b 22.541 * [backup-simplify]: Simplify PI into PI 22.541 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 22.541 * [taylor]: Taking taylor expansion of (/ 1 a) in b 22.541 * [taylor]: Taking taylor expansion of a in b 22.541 * [backup-simplify]: Simplify a into a 22.541 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 22.541 * [taylor]: Taking taylor expansion of (/ 1 b) in b 22.541 * [taylor]: Taking taylor expansion of b in b 22.541 * [backup-simplify]: Simplify 0 into 0 22.541 * [backup-simplify]: Simplify 1 into 1 22.541 * [backup-simplify]: Simplify (/ 1 1) into 1 22.542 * [backup-simplify]: Simplify (* 0 PI) into 0 22.543 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 22.544 * [backup-simplify]: Simplify (+ 0 1) into 1 22.544 * [backup-simplify]: Simplify (/ PI 1) into PI 22.544 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 22.544 * [taylor]: Taking taylor expansion of 1/2 in a 22.544 * [backup-simplify]: Simplify 1/2 into 1/2 22.544 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 22.544 * [taylor]: Taking taylor expansion of (* b PI) in a 22.544 * [taylor]: Taking taylor expansion of b in a 22.544 * [backup-simplify]: Simplify b into b 22.544 * [taylor]: Taking taylor expansion of PI in a 22.544 * [backup-simplify]: Simplify PI into PI 22.544 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.545 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.545 * [taylor]: Taking taylor expansion of a in a 22.545 * [backup-simplify]: Simplify 0 into 0 22.545 * [backup-simplify]: Simplify 1 into 1 22.545 * [backup-simplify]: Simplify (/ 1 1) into 1 22.545 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.545 * [taylor]: Taking taylor expansion of b in a 22.545 * [backup-simplify]: Simplify b into b 22.545 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.545 * [backup-simplify]: Simplify (* b PI) into (* PI b) 22.546 * [backup-simplify]: Simplify (+ 1 0) into 1 22.546 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 22.546 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 22.546 * [taylor]: Taking taylor expansion of 1/2 in a 22.546 * [backup-simplify]: Simplify 1/2 into 1/2 22.546 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 22.546 * [taylor]: Taking taylor expansion of (* b PI) in a 22.546 * [taylor]: Taking taylor expansion of b in a 22.546 * [backup-simplify]: Simplify b into b 22.546 * [taylor]: Taking taylor expansion of PI in a 22.546 * [backup-simplify]: Simplify PI into PI 22.546 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 22.546 * [taylor]: Taking taylor expansion of (/ 1 a) in a 22.546 * [taylor]: Taking taylor expansion of a in a 22.546 * [backup-simplify]: Simplify 0 into 0 22.546 * [backup-simplify]: Simplify 1 into 1 22.546 * [backup-simplify]: Simplify (/ 1 1) into 1 22.546 * [taylor]: Taking taylor expansion of (/ 1 b) in a 22.546 * [taylor]: Taking taylor expansion of b in a 22.546 * [backup-simplify]: Simplify b into b 22.546 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 22.546 * [backup-simplify]: Simplify (* b PI) into (* PI b) 22.547 * [backup-simplify]: Simplify (+ 1 0) into 1 22.547 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 22.547 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 22.547 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 22.547 * [taylor]: Taking taylor expansion of 1/2 in b 22.547 * [backup-simplify]: Simplify 1/2 into 1/2 22.547 * [taylor]: Taking taylor expansion of (* PI b) in b 22.547 * [taylor]: Taking taylor expansion of PI in b 22.547 * [backup-simplify]: Simplify PI into PI 22.547 * [taylor]: Taking taylor expansion of b in b 22.547 * [backup-simplify]: Simplify 0 into 0 22.547 * [backup-simplify]: Simplify 1 into 1 22.548 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 22.550 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 22.550 * [backup-simplify]: Simplify (* PI 0) into 0 22.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 22.551 * [backup-simplify]: Simplify 0 into 0 22.552 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 22.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 22.552 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 22.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 22.554 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 22.554 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 22.554 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 22.554 * [taylor]: Taking taylor expansion of 1/2 in b 22.554 * [backup-simplify]: Simplify 1/2 into 1/2 22.554 * [taylor]: Taking taylor expansion of PI in b 22.554 * [backup-simplify]: Simplify PI into PI 22.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 22.556 * [backup-simplify]: Simplify (- 0) into 0 22.556 * [backup-simplify]: Simplify 0 into 0 22.558 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 22.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 22.559 * [backup-simplify]: Simplify 0 into 0 22.560 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 22.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 22.561 * [backup-simplify]: Simplify (+ 0 0) into 0 22.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 22.564 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 22.564 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 22.564 * [taylor]: Taking taylor expansion of 1/2 in b 22.564 * [backup-simplify]: Simplify 1/2 into 1/2 22.564 * [taylor]: Taking taylor expansion of (/ PI b) in b 22.564 * [taylor]: Taking taylor expansion of PI in b 22.564 * [backup-simplify]: Simplify PI into PI 22.564 * [taylor]: Taking taylor expansion of b in b 22.564 * [backup-simplify]: Simplify 0 into 0 22.564 * [backup-simplify]: Simplify 1 into 1 22.565 * [backup-simplify]: Simplify (/ PI 1) into PI 22.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 22.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 22.569 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.569 * [backup-simplify]: Simplify 0 into 0 22.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 22.571 * [backup-simplify]: Simplify (- 0) into 0 22.571 * [backup-simplify]: Simplify 0 into 0 22.572 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 22.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 22.574 * [backup-simplify]: Simplify 0 into 0 22.574 * [backup-simplify]: Simplify 0 into 0 22.574 * * * [progress]: simplifying candidates 22.574 * * * * [progress]: [ 1 / 445 ] simplifiying candidate # 22.574 * * * * [progress]: [ 2 / 445 ] simplifiying candidate # 22.574 * * * * [progress]: [ 3 / 445 ] simplifiying candidate # 22.574 * * * * [progress]: [ 4 / 445 ] simplifiying candidate # 22.574 * * * * [progress]: [ 5 / 445 ] simplifiying candidate # 22.574 * * * * [progress]: [ 6 / 445 ] simplifiying candidate # 22.574 * * * * [progress]: [ 7 / 445 ] simplifiying candidate # 22.575 * * * * [progress]: [ 8 / 445 ] simplifiying candidate # 22.575 * * * * [progress]: [ 9 / 445 ] simplifiying candidate # 22.575 * * * * [progress]: [ 10 / 445 ] simplifiying candidate # 22.575 * * * * [progress]: [ 11 / 445 ] simplifiying candidate # 22.575 * * * * [progress]: [ 12 / 445 ] simplifiying candidate # 22.575 * * * * [progress]: [ 13 / 445 ] simplifiying candidate # 22.575 * * * * [progress]: [ 14 / 445 ] simplifiying candidate # 22.575 * * * * [progress]: [ 15 / 445 ] simplifiying candidate # 22.575 * * * * [progress]: [ 16 / 445 ] simplifiying candidate # 22.575 * * * * [progress]: [ 17 / 445 ] simplifiying candidate # 22.575 * * * * [progress]: [ 18 / 445 ] simplifiying candidate # 22.575 * * * * [progress]: [ 19 / 445 ] simplifiying candidate # 22.575 * * * * [progress]: [ 20 / 445 ] simplifiying candidate # 22.576 * * * * [progress]: [ 21 / 445 ] simplifiying candidate # 22.576 * * * * [progress]: [ 22 / 445 ] simplifiying candidate # 22.576 * * * * [progress]: [ 23 / 445 ] simplifiying candidate # 22.576 * * * * [progress]: [ 24 / 445 ] simplifiying candidate # 22.576 * * * * [progress]: [ 25 / 445 ] simplifiying candidate # 22.576 * * * * [progress]: [ 26 / 445 ] simplifiying candidate # 22.576 * * * * [progress]: [ 27 / 445 ] simplifiying candidate # 22.576 * * * * [progress]: [ 28 / 445 ] simplifiying candidate # 22.576 * * * * [progress]: [ 29 / 445 ] simplifiying candidate # 22.576 * * * * [progress]: [ 30 / 445 ] simplifiying candidate # 22.576 * * * * [progress]: [ 31 / 445 ] simplifiying candidate # 22.576 * * * * [progress]: [ 32 / 445 ] simplifiying candidate # 22.576 * * * * [progress]: [ 33 / 445 ] simplifiying candidate # 22.576 * * * * [progress]: [ 34 / 445 ] simplifiying candidate # 22.577 * * * * [progress]: [ 35 / 445 ] simplifiying candidate # 22.577 * * * * [progress]: [ 36 / 445 ] simplifiying candidate # 22.577 * * * * [progress]: [ 37 / 445 ] simplifiying candidate # 22.577 * * * * [progress]: [ 38 / 445 ] simplifiying candidate # 22.577 * * * * [progress]: [ 39 / 445 ] simplifiying candidate # 22.577 * * * * [progress]: [ 40 / 445 ] simplifiying candidate # 22.577 * * * * [progress]: [ 41 / 445 ] simplifiying candidate # 22.577 * * * * [progress]: [ 42 / 445 ] simplifiying candidate # 22.577 * * * * [progress]: [ 43 / 445 ] simplifiying candidate # 22.577 * * * * [progress]: [ 44 / 445 ] simplifiying candidate # 22.577 * * * * [progress]: [ 45 / 445 ] simplifiying candidate # 22.577 * * * * [progress]: [ 46 / 445 ] simplifiying candidate # 22.577 * * * * [progress]: [ 47 / 445 ] simplifiying candidate # 22.578 * * * * [progress]: [ 48 / 445 ] simplifiying candidate # 22.578 * * * * [progress]: [ 49 / 445 ] simplifiying candidate # 22.578 * * * * [progress]: [ 50 / 445 ] simplifiying candidate # 22.578 * * * * [progress]: [ 51 / 445 ] simplifiying candidate # 22.578 * * * * [progress]: [ 52 / 445 ] simplifiying candidate # 22.578 * * * * [progress]: [ 53 / 445 ] simplifiying candidate # 22.578 * * * * [progress]: [ 54 / 445 ] simplifiying candidate # 22.578 * * * * [progress]: [ 55 / 445 ] simplifiying candidate # 22.578 * * * * [progress]: [ 56 / 445 ] simplifiying candidate # 22.578 * * * * [progress]: [ 57 / 445 ] simplifiying candidate # 22.578 * * * * [progress]: [ 58 / 445 ] simplifiying candidate # 22.578 * * * * [progress]: [ 59 / 445 ] simplifiying candidate # 22.578 * * * * [progress]: [ 60 / 445 ] simplifiying candidate # 22.578 * * * * [progress]: [ 61 / 445 ] simplifiying candidate # 22.579 * * * * [progress]: [ 62 / 445 ] simplifiying candidate # 22.579 * * * * [progress]: [ 63 / 445 ] simplifiying candidate # 22.579 * * * * [progress]: [ 64 / 445 ] simplifiying candidate # 22.579 * * * * [progress]: [ 65 / 445 ] simplifiying candidate # 22.579 * * * * [progress]: [ 66 / 445 ] simplifiying candidate # 22.579 * * * * [progress]: [ 67 / 445 ] simplifiying candidate # 22.579 * * * * [progress]: [ 68 / 445 ] simplifiying candidate # 22.579 * * * * [progress]: [ 69 / 445 ] simplifiying candidate # 22.579 * * * * [progress]: [ 70 / 445 ] simplifiying candidate # 22.579 * * * * [progress]: [ 71 / 445 ] simplifiying candidate # 22.579 * * * * [progress]: [ 72 / 445 ] simplifiying candidate # 22.579 * * * * [progress]: [ 73 / 445 ] simplifiying candidate # 22.579 * * * * [progress]: [ 74 / 445 ] simplifiying candidate # 22.580 * * * * [progress]: [ 75 / 445 ] simplifiying candidate # 22.580 * * * * [progress]: [ 76 / 445 ] simplifiying candidate # 22.580 * * * * [progress]: [ 77 / 445 ] simplifiying candidate # 22.580 * * * * [progress]: [ 78 / 445 ] simplifiying candidate # 22.580 * * * * [progress]: [ 79 / 445 ] simplifiying candidate # 22.580 * * * * [progress]: [ 80 / 445 ] simplifiying candidate # 22.580 * * * * [progress]: [ 81 / 445 ] simplifiying candidate # 22.580 * * * * [progress]: [ 82 / 445 ] simplifiying candidate # 22.580 * * * * [progress]: [ 83 / 445 ] simplifiying candidate # 22.580 * * * * [progress]: [ 84 / 445 ] simplifiying candidate # 22.580 * * * * [progress]: [ 85 / 445 ] simplifiying candidate # 22.580 * * * * [progress]: [ 86 / 445 ] simplifiying candidate # 22.580 * * * * [progress]: [ 87 / 445 ] simplifiying candidate # 22.581 * * * * [progress]: [ 88 / 445 ] simplifiying candidate # 22.581 * * * * [progress]: [ 89 / 445 ] simplifiying candidate # 22.581 * * * * [progress]: [ 90 / 445 ] simplifiying candidate # 22.581 * * * * [progress]: [ 91 / 445 ] simplifiying candidate # 22.581 * * * * [progress]: [ 92 / 445 ] simplifiying candidate # 22.581 * * * * [progress]: [ 93 / 445 ] simplifiying candidate # 22.581 * * * * 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109 / 445 ] simplifiying candidate # 22.582 * * * * [progress]: [ 110 / 445 ] simplifiying candidate # 22.582 * * * * [progress]: [ 111 / 445 ] simplifiying candidate #real (real->posit16 (* (/ (/ PI (+ a b)) 2) (/ 1 a)))) (- (/ (/ (/ PI (+ a b)) 2) b))) (- b a)))> 22.582 * * * * [progress]: [ 112 / 445 ] simplifiying candidate # 22.582 * * * * [progress]: [ 113 / 445 ] simplifiying candidate # 22.583 * * * * [progress]: [ 114 / 445 ] simplifiying candidate # 22.583 * * * * [progress]: [ 115 / 445 ] simplifiying candidate # 22.583 * * * * [progress]: [ 116 / 445 ] simplifiying candidate # 22.583 * * * * [progress]: [ 117 / 445 ] simplifiying candidate # 22.583 * * * * [progress]: [ 118 / 445 ] simplifiying candidate # 22.583 * * * * [progress]: [ 119 / 445 ] simplifiying candidate # 22.583 * * * * [progress]: [ 120 / 445 ] simplifiying candidate # 22.583 * * * * [progress]: [ 121 / 445 ] simplifiying candidate # 22.583 * * * * [progress]: [ 122 / 445 ] simplifiying candidate # 22.583 * 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candidate # 22.611 * * * * [progress]: [ 436 / 445 ] simplifiying candidate # 22.611 * * * * [progress]: [ 437 / 445 ] simplifiying candidate # 22.611 * * * * [progress]: [ 438 / 445 ] simplifiying candidate # 22.611 * * * * [progress]: [ 439 / 445 ] simplifiying candidate # 22.611 * * * * [progress]: [ 440 / 445 ] simplifiying candidate # 22.612 * * * * [progress]: [ 441 / 445 ] simplifiying candidate # 22.612 * * * * [progress]: [ 442 / 445 ] simplifiying candidate # 22.612 * * * * [progress]: [ 443 / 445 ] simplifiying candidate # 22.612 * * * * [progress]: [ 444 / 445 ] simplifiying candidate # 22.612 * * * * [progress]: [ 445 / 445 ] simplifiying candidate # 22.617 * [simplify]: Simplifying: (* (/ (/ PI (+ a b)) 2) (/ 1 a)) (+ (- (- (log PI) (log (+ a b))) (log 2)) (- (log a))) (+ (- (- (log PI) (log (+ a b))) (log 2)) (- 0 (log a))) (+ (- (- (log PI) (log (+ a b))) (log 2)) (- (log 1) (log a))) (+ (- (- (log PI) (log (+ a b))) (log 2)) (log (/ 1 a))) (+ (- (log (/ PI (+ a b))) (log 2)) (- (log a))) (+ (- (log (/ PI (+ a b))) (log 2)) (- 0 (log a))) (+ (- (log (/ PI (+ a b))) (log 2)) (- (log 1) (log a))) (+ (- (log (/ PI (+ a b))) (log 2)) (log (/ 1 a))) (+ (log (/ (/ PI (+ a b)) 2)) (- (log a))) (+ (log (/ (/ PI (+ a b)) 2)) (- 0 (log a))) (+ (log (/ (/ PI (+ a b)) 2)) (- (log 1) (log a))) (+ (log (/ (/ PI (+ a b)) 2)) (log (/ 1 a))) (log (* (/ (/ PI (+ a b)) 2) (/ 1 a))) (exp (* (/ (/ PI (+ a b)) 2) (/ 1 a))) (* (/ (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (* 2 2) 2)) (/ (* (* 1 1) 1) (* (* a a) a))) (* (/ (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (* 2 2) 2)) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* 2 2) 2)) (/ (* (* 1 1) 1) (* (* a a) a))) (* (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* 2 2) 2)) (* (* (/ 1 a) (/ 1 a)) (/ 1 a))) (* (* (* (/ (/ PI (+ a b)) 2) (/ (/ PI (+ a b)) 2)) (/ (/ PI (+ a b)) 2)) (/ (* (* 1 1) 1) (* (* a a) a))) (* (* (* (/ (/ PI (+ a 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b)) (* (sqrt b) (sqrt 2))) (/ 1 (sqrt 2)) (/ (/ PI (+ a b)) (* (sqrt 2) b)) (/ (/ 1 (cbrt b)) (cbrt b)) (/ (/ PI (* (+ a b) 2)) (cbrt b)) (/ 1 (sqrt b)) (/ (/ PI (* (+ a b) 2)) (sqrt b)) 1 (/ (/ PI (+ a b)) (* b 2)) (/ (/ (/ 1 (cbrt 2)) (cbrt 2)) (* (cbrt b) (cbrt b))) (/ (/ PI (* (+ a b) (cbrt 2))) (cbrt b)) (/ (/ (/ 1 (cbrt 2)) (cbrt 2)) (sqrt b)) (/ (/ PI (* (+ a b) (cbrt 2))) (sqrt b)) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (/ PI (+ a b)) (* b (cbrt 2))) (/ (/ (/ 1 (sqrt 2)) (cbrt b)) (cbrt b)) (/ (/ PI (+ a b)) (* (cbrt b) (sqrt 2))) (/ (/ 1 (sqrt 2)) (sqrt b)) (/ (/ PI (+ a b)) (* (sqrt b) (sqrt 2))) (/ 1 (sqrt 2)) (/ (/ PI (+ a b)) (* (sqrt 2) b)) (/ (/ 1 (cbrt b)) (cbrt b)) (/ (/ PI (* (+ a b) 2)) (cbrt b)) (/ 1 (sqrt b)) (/ (/ PI (* (+ a b) 2)) (sqrt b)) 1 (/ (/ PI (+ a b)) (* b 2)) (/ (/ (/ 1 (cbrt 2)) (cbrt 2)) (* (cbrt b) (cbrt b))) (/ (/ PI (* (+ a b) (cbrt 2))) (cbrt b)) (/ (/ (/ 1 (cbrt 2)) (cbrt 2)) (sqrt b)) (/ (/ PI (* (+ a b) (cbrt 2))) (sqrt b)) (/ (/ 1 (cbrt 2)) (cbrt 2)) (/ (/ PI (+ a b)) (* b (cbrt 2))) (/ (/ (/ 1 (sqrt 2)) (cbrt b)) (cbrt b)) (/ (/ PI (+ a b)) (* (cbrt b) (sqrt 2))) (/ (/ 1 (sqrt 2)) (sqrt b)) (/ (/ PI (+ a b)) (* (sqrt b) (sqrt 2))) (/ 1 (sqrt 2)) (/ (/ PI (+ a b)) (* (sqrt 2) b)) (/ (/ 1 (cbrt b)) (cbrt b)) (/ (/ PI (* (+ a b) 2)) (cbrt b)) (/ 1 (sqrt b)) (/ (/ PI (* (+ a b) 2)) (sqrt b)) 1 (/ (/ PI (+ a b)) (* b 2)) (/ PI (* (* (cbrt b) (cbrt 2)) (* (cbrt b) (cbrt 2)))) (/ (/ 1 (+ a b)) (* (cbrt b) (cbrt 2))) (/ (/ (/ PI (cbrt 2)) (cbrt 2)) (sqrt b)) (/ (/ 1 (+ a b)) (* (sqrt b) (cbrt 2))) (/ (/ PI (cbrt 2)) (cbrt 2)) (/ (/ 1 (+ a b)) (* b (cbrt 2))) (/ (/ (/ PI (sqrt 2)) (cbrt b)) (cbrt b)) (/ (/ (/ 1 (+ a b)) (sqrt 2)) (cbrt b)) (/ PI (* (sqrt b) (sqrt 2))) (/ (/ (/ 1 (+ a b)) (sqrt 2)) (sqrt b)) (/ PI (sqrt 2)) (/ (/ (/ 1 (+ a b)) (sqrt 2)) b) (/ PI (* (cbrt b) (cbrt b))) (/ (/ 1 (* (+ a b) 2)) (cbrt b)) (/ PI (sqrt b)) (/ (/ 1 (* (+ a b) 2)) (sqrt b)) PI (/ (/ 1 (+ a b)) (* b 2)) (/ (/ PI (+ (* (* b b) b) (* a (* a a)))) (* (* (cbrt b) (cbrt 2)) (* (cbrt b) (cbrt 2)))) (/ (+ (* b (- b a)) (* a a)) (* (cbrt b) (cbrt 2))) (/ (/ (/ PI (+ (* (* b b) b) (* a (* a a)))) (sqrt b)) (* (cbrt 2) (cbrt 2))) (/ (+ (* b (- b a)) (* a a)) (* (sqrt b) (cbrt 2))) (/ (/ PI (* (cbrt 2) (+ (* (* b b) b) (* a (* a a))))) (cbrt 2)) (/ (+ (* b (- b a)) (* a a)) (* b (cbrt 2))) (/ (/ PI (+ (* (* b b) b) (* a (* a a)))) (* (* (cbrt b) (cbrt b)) (sqrt 2))) (/ (/ (+ (* b (- b a)) (* a a)) (sqrt 2)) (cbrt b)) (/ (/ (/ PI (+ (* (* b b) b) (* a (* a a)))) (sqrt 2)) (sqrt b)) (/ (+ (* b (- b a)) (* a a)) (* (sqrt b) (sqrt 2))) (/ (/ PI (+ (* (* b b) b) (* a (* a a)))) (sqrt 2)) (/ (+ (* b (- b a)) (* a a)) (* (sqrt 2) b)) (/ (/ PI (+ (* (* b b) b) (* a (* a a)))) (* (cbrt b) (cbrt b))) (/ (+ (* b (- b a)) (* a a)) (* (cbrt b) 2)) (/ PI (* (sqrt b) (+ (* (* b b) b) (* a (* a a))))) (/ (+ (* b (- b a)) (* a a)) (* (sqrt b) 2)) (/ PI (+ (* (* b b) b) (* a (* a a)))) (/ (/ (+ (* b (- b a)) (* a a)) b) 2) (/ (/ PI (* (- a b) (+ a b))) (* (* (cbrt b) (cbrt 2)) (* (cbrt b) (cbrt 2)))) (/ (- a b) (* (cbrt b) (cbrt 2))) (/ (/ (/ PI (* (- a b) (+ a b))) (sqrt b)) (* (cbrt 2) (cbrt 2))) (/ (/ (- a b) (sqrt b)) (cbrt 2)) (/ (/ PI (* (cbrt 2) (cbrt 2))) (* (- a b) (+ a b))) (/ (- a b) (* b (cbrt 2))) (/ (/ (/ PI (* (* (sqrt 2) (+ a b)) (- a b))) (cbrt b)) (cbrt b)) (/ (/ (- a b) (sqrt 2)) (cbrt b)) (/ (/ PI (* (* (sqrt 2) (+ a b)) (- a b))) (sqrt b)) (/ (- a b) (* (sqrt b) (sqrt 2))) (/ PI (* (* (sqrt 2) (+ a b)) (- a b))) (/ (- a b) (* (sqrt 2) b)) (/ (/ PI (* (- a b) (+ a b))) (* (cbrt b) (cbrt b))) (/ (- a b) (* (cbrt b) 2)) (/ (/ PI (* (- a b) (+ a b))) (sqrt b)) (/ (- a b) (* (sqrt b) 2)) (/ PI (* (- a b) (+ a b))) (/ (/ (- a b) 2) b) (/ (/ 1 (cbrt b)) (cbrt b)) (/ (/ PI (* (+ a b) 2)) (cbrt b)) (/ 1 (sqrt b)) (/ (/ PI (* (+ a b) 2)) (sqrt b)) 1 (/ (/ PI (+ a b)) (* b 2)) (/ (/ PI (+ a b)) (* (cbrt b) (cbrt b))) (/ 1/2 (cbrt b)) (/ (/ PI (sqrt b)) (+ a b)) (/ 1/2 (sqrt b)) (/ PI (+ a b)) (/ 1/2 b) (/ 1 b) (/ (* b 2) (/ PI (+ a b))) (/ (/ (/ PI (* (+ a b) 2)) (cbrt b)) (cbrt b)) (/ (/ PI (* (+ a b) 2)) (sqrt b)) (/ PI (* (+ a b) 2)) (/ b (cbrt (/ PI (* (+ a b) 2)))) (/ b (sqrt (/ PI (* (+ a b) 2)))) (/ (* b (cbrt 2)) (cbrt (/ PI (+ a b)))) (* (sqrt 2) (/ b (cbrt (/ PI (+ a b))))) (/ (* b 2) (cbrt (/ PI (+ a b)))) (/ (* b (cbrt 2)) (sqrt (/ PI (+ a b)))) (/ (* b (sqrt 2)) (sqrt (/ PI (+ a b)))) (/ (* b 2) (sqrt (/ PI (+ a b)))) (/ (* b (cbrt 2)) (/ (cbrt PI) (cbrt (+ a b)))) (/ b (/ (/ (cbrt PI) (sqrt 2)) (cbrt (+ a b)))) (/ (* b 2) (/ (cbrt PI) (cbrt (+ a b)))) (/ (* b (cbrt 2)) (/ (cbrt PI) (sqrt (+ a b)))) (/ (* b (sqrt 2)) (/ (cbrt PI) (sqrt (+ a b)))) (/ (* b 2) (/ (cbrt PI) (sqrt (+ a b)))) (* (/ b (/ (cbrt PI) (+ a b))) (cbrt 2)) (* (/ b (/ (cbrt PI) (+ a b))) (sqrt 2)) (* 2 (/ b (/ (cbrt PI) (+ a b)))) (* (/ b (/ (cbrt PI) (+ a b))) (cbrt 2)) (* (/ b (/ (cbrt PI) (+ a b))) (sqrt 2)) (* 2 (/ b (/ (cbrt PI) (+ a b)))) (* (/ b (/ (sqrt PI) (cbrt (+ a b)))) (cbrt 2)) (/ b (/ (/ (sqrt PI) (cbrt (+ a b))) (sqrt 2))) (/ b (/ (/ (sqrt PI) (cbrt (+ a b))) 2)) (/ (* b (cbrt 2)) (/ (sqrt PI) (sqrt (+ a b)))) (/ b (/ (/ (sqrt PI) (sqrt (+ a b))) (sqrt 2))) (/ (* b 2) (/ (sqrt PI) (sqrt (+ a b)))) (/ b (/ (/ (sqrt PI) (cbrt 2)) (+ a b))) (* (* (/ b (sqrt PI)) (+ a b)) (sqrt 2)) (* (* (/ b (sqrt PI)) (+ a b)) 2) (/ b (/ (/ (sqrt PI) (cbrt 2)) (+ a b))) (* (* (/ b (sqrt PI)) (+ a b)) (sqrt 2)) (* (* (/ b (sqrt PI)) (+ a b)) 2) (/ (* b (cbrt 2)) (/ PI (cbrt (+ a b)))) (/ (* b (sqrt 2)) (/ PI (cbrt (+ a b)))) (* 2 (* (/ b PI) (cbrt (+ a b)))) (/ (* b (cbrt 2)) (/ PI (sqrt (+ a b)))) (/ (* b (sqrt 2)) (/ PI (sqrt (+ a b)))) (* 2 (/ b (/ PI (sqrt (+ a b))))) (/ (* b (cbrt 2)) (/ PI (+ a b))) (* (/ b (/ PI (+ a b))) (sqrt 2)) (/ (* b 2) (/ PI (+ a b))) (/ (* b (cbrt 2)) (/ PI (+ a b))) (* (/ b (/ PI (+ a b))) (sqrt 2)) (/ (* b 2) (/ PI (+ a b))) (/ (* b (cbrt 2)) (/ PI (+ a b))) (* (/ b (/ PI (+ a b))) (sqrt 2)) (/ (* b 2) (/ PI (+ a b))) (* (cbrt 2) (/ b (/ 1 (+ a b)))) (* (/ b (/ 1 (+ a b))) (sqrt 2)) (/ b (/ 1 (* (+ a b) 2))) (/ (* b (cbrt 2)) (+ (* b (- b a)) (* a a))) (/ (* b (sqrt 2)) (+ (* b (- b a)) (* a a))) (* 2 (/ b (+ (* b (- b a)) (* a a)))) (* (cbrt 2) (/ b (- a b))) (* (/ b (- a b)) (sqrt 2)) (/ (* b 2) (- a b)) (/ (* b 2) (/ PI (+ a b))) (* b 2) (* b 2) (real->posit16 (/ (/ PI (+ a b)) (* b 2))) 0 0 0 0 0 0 0 0 0 0 0 0 24.238 * * * [progress]: adding candidates to table 26.653 * * [progress]: iteration 4 / 4 26.653 * * * [progress]: picking best candidate 26.675 * * * * [pick]: Picked # 26.675 * * * [progress]: localizing error 26.728 * * * [progress]: generating rewritten candidates 26.728 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 1 1) 26.760 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 26.776 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 26.796 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 26.822 * * * [progress]: generating series expansions 26.822 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 1 1) 26.823 * [backup-simplify]: Simplify (* PI (/ 1 (+ a b))) into (/ PI (+ a b)) 26.823 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 26.823 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 26.823 * [taylor]: Taking taylor expansion of PI in b 26.823 * [backup-simplify]: Simplify PI into PI 26.823 * [taylor]: Taking taylor expansion of (+ a b) in b 26.823 * [taylor]: Taking taylor expansion of a in b 26.823 * [backup-simplify]: Simplify a into a 26.823 * [taylor]: Taking taylor expansion of b in b 26.823 * [backup-simplify]: Simplify 0 into 0 26.823 * [backup-simplify]: Simplify 1 into 1 26.823 * [backup-simplify]: Simplify (+ a 0) into a 26.823 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 26.823 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 26.823 * [taylor]: Taking taylor expansion of PI in a 26.823 * [backup-simplify]: Simplify PI into PI 26.823 * [taylor]: Taking taylor expansion of (+ a b) in a 26.823 * [taylor]: Taking taylor expansion of a in a 26.823 * [backup-simplify]: Simplify 0 into 0 26.823 * [backup-simplify]: Simplify 1 into 1 26.823 * [taylor]: Taking taylor expansion of b in a 26.823 * [backup-simplify]: Simplify b into b 26.823 * [backup-simplify]: Simplify (+ 0 b) into b 26.823 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 26.823 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 26.823 * [taylor]: Taking taylor expansion of PI in a 26.823 * [backup-simplify]: Simplify PI into PI 26.823 * [taylor]: Taking taylor expansion of (+ a b) in a 26.823 * [taylor]: Taking taylor expansion of a in a 26.823 * [backup-simplify]: Simplify 0 into 0 26.823 * [backup-simplify]: Simplify 1 into 1 26.823 * [taylor]: Taking taylor expansion of b in a 26.824 * [backup-simplify]: Simplify b into b 26.824 * [backup-simplify]: Simplify (+ 0 b) into b 26.824 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 26.824 * [taylor]: Taking taylor expansion of (/ PI b) in b 26.824 * [taylor]: Taking taylor expansion of PI in b 26.824 * [backup-simplify]: Simplify PI into PI 26.824 * [taylor]: Taking taylor expansion of b in b 26.824 * [backup-simplify]: Simplify 0 into 0 26.824 * [backup-simplify]: Simplify 1 into 1 26.825 * [backup-simplify]: Simplify (/ PI 1) into PI 26.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.826 * [backup-simplify]: Simplify 0 into 0 26.826 * [backup-simplify]: Simplify (+ 1 0) into 1 26.827 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 26.827 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 26.827 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 26.827 * [taylor]: Taking taylor expansion of PI in b 26.827 * [backup-simplify]: Simplify PI into PI 26.827 * [taylor]: Taking taylor expansion of (pow b 2) in b 26.827 * [taylor]: Taking taylor expansion of b in b 26.827 * [backup-simplify]: Simplify 0 into 0 26.827 * [backup-simplify]: Simplify 1 into 1 26.827 * [backup-simplify]: Simplify (* 1 1) into 1 26.828 * [backup-simplify]: Simplify (/ PI 1) into PI 26.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.832 * [backup-simplify]: Simplify (- 0) into 0 26.832 * [backup-simplify]: Simplify 0 into 0 26.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.833 * [backup-simplify]: Simplify 0 into 0 26.833 * [backup-simplify]: Simplify (+ 0 0) into 0 26.834 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 26.834 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 26.834 * [taylor]: Taking taylor expansion of PI in b 26.834 * [backup-simplify]: Simplify PI into PI 26.834 * [taylor]: Taking taylor expansion of (pow b 3) in b 26.834 * [taylor]: Taking taylor expansion of b in b 26.834 * [backup-simplify]: Simplify 0 into 0 26.834 * [backup-simplify]: Simplify 1 into 1 26.834 * [backup-simplify]: Simplify (* 1 1) into 1 26.835 * [backup-simplify]: Simplify (* 1 1) into 1 26.836 * [backup-simplify]: Simplify (/ PI 1) into PI 26.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.845 * [backup-simplify]: Simplify 0 into 0 26.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.847 * [backup-simplify]: Simplify (- 0) into 0 26.847 * [backup-simplify]: Simplify 0 into 0 26.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.849 * [backup-simplify]: Simplify 0 into 0 26.849 * [backup-simplify]: Simplify 0 into 0 26.849 * [backup-simplify]: Simplify (* PI (/ 1 (+ (/ 1 a) (/ 1 b)))) into (/ PI (+ (/ 1 a) (/ 1 b))) 26.849 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 26.849 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 26.849 * [taylor]: Taking taylor expansion of PI in b 26.849 * [backup-simplify]: Simplify PI into PI 26.849 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 26.849 * [taylor]: Taking taylor expansion of (/ 1 a) in b 26.849 * [taylor]: Taking taylor expansion of a in b 26.849 * [backup-simplify]: Simplify a into a 26.849 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 26.849 * [taylor]: Taking taylor expansion of (/ 1 b) in b 26.849 * [taylor]: Taking taylor expansion of b in b 26.849 * [backup-simplify]: Simplify 0 into 0 26.849 * [backup-simplify]: Simplify 1 into 1 26.850 * [backup-simplify]: Simplify (/ 1 1) into 1 26.850 * [backup-simplify]: Simplify (+ 0 1) into 1 26.851 * [backup-simplify]: Simplify (/ PI 1) into PI 26.851 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 26.851 * [taylor]: Taking taylor expansion of PI in a 26.851 * [backup-simplify]: Simplify PI into PI 26.851 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 26.851 * [taylor]: Taking taylor expansion of (/ 1 a) in a 26.851 * [taylor]: Taking taylor expansion of a in a 26.851 * [backup-simplify]: Simplify 0 into 0 26.851 * [backup-simplify]: Simplify 1 into 1 26.851 * [backup-simplify]: Simplify (/ 1 1) into 1 26.851 * [taylor]: Taking taylor expansion of (/ 1 b) in a 26.851 * [taylor]: Taking taylor expansion of b in a 26.851 * [backup-simplify]: Simplify b into b 26.851 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 26.852 * [backup-simplify]: Simplify (+ 1 0) into 1 26.852 * [backup-simplify]: Simplify (/ PI 1) into PI 26.852 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 26.852 * [taylor]: Taking taylor expansion of PI in a 26.852 * [backup-simplify]: Simplify PI into PI 26.852 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 26.853 * [taylor]: Taking taylor expansion of (/ 1 a) in a 26.853 * [taylor]: Taking taylor expansion of a in a 26.853 * [backup-simplify]: Simplify 0 into 0 26.853 * [backup-simplify]: Simplify 1 into 1 26.853 * [backup-simplify]: Simplify (/ 1 1) into 1 26.853 * [taylor]: Taking taylor expansion of (/ 1 b) in a 26.853 * [taylor]: Taking taylor expansion of b in a 26.853 * [backup-simplify]: Simplify b into b 26.853 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 26.853 * [backup-simplify]: Simplify (+ 1 0) into 1 26.854 * [backup-simplify]: Simplify (/ PI 1) into PI 26.854 * [taylor]: Taking taylor expansion of PI in b 26.854 * [backup-simplify]: Simplify PI into PI 26.854 * [backup-simplify]: Simplify 0 into 0 26.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.855 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 26.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 26.856 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 26.856 * [taylor]: Taking taylor expansion of (/ PI b) in b 26.856 * [taylor]: Taking taylor expansion of PI in b 26.856 * [backup-simplify]: Simplify PI into PI 26.856 * [taylor]: Taking taylor expansion of b in b 26.856 * [backup-simplify]: Simplify 0 into 0 26.856 * [backup-simplify]: Simplify 1 into 1 26.856 * [backup-simplify]: Simplify (/ PI 1) into PI 26.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.858 * [backup-simplify]: Simplify (- 0) into 0 26.858 * [backup-simplify]: Simplify 0 into 0 26.858 * [backup-simplify]: Simplify 0 into 0 26.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 26.860 * [backup-simplify]: Simplify (+ 0 0) into 0 26.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 26.861 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 26.861 * [taylor]: Taking taylor expansion of PI in b 26.861 * [backup-simplify]: Simplify PI into PI 26.861 * [taylor]: Taking taylor expansion of (pow b 2) in b 26.861 * [taylor]: Taking taylor expansion of b in b 26.861 * [backup-simplify]: Simplify 0 into 0 26.861 * [backup-simplify]: Simplify 1 into 1 26.862 * [backup-simplify]: Simplify (* 1 1) into 1 26.862 * [backup-simplify]: Simplify (/ PI 1) into PI 26.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.868 * [backup-simplify]: Simplify 0 into 0 26.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.869 * [backup-simplify]: Simplify (- 0) into 0 26.869 * [backup-simplify]: Simplify 0 into 0 26.869 * [backup-simplify]: Simplify 0 into 0 26.869 * [backup-simplify]: Simplify 0 into 0 26.869 * [backup-simplify]: Simplify (* PI (/ 1 (+ (/ 1 (- a)) (/ 1 (- b))))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 26.869 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 26.869 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 26.869 * [taylor]: Taking taylor expansion of -1 in b 26.869 * [backup-simplify]: Simplify -1 into -1 26.869 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 26.869 * [taylor]: Taking taylor expansion of PI in b 26.869 * [backup-simplify]: Simplify PI into PI 26.870 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 26.870 * [taylor]: Taking taylor expansion of (/ 1 a) in b 26.870 * [taylor]: Taking taylor expansion of a in b 26.870 * [backup-simplify]: Simplify a into a 26.870 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 26.870 * [taylor]: Taking taylor expansion of (/ 1 b) in b 26.870 * [taylor]: Taking taylor expansion of b in b 26.870 * [backup-simplify]: Simplify 0 into 0 26.870 * [backup-simplify]: Simplify 1 into 1 26.870 * [backup-simplify]: Simplify (/ 1 1) into 1 26.871 * [backup-simplify]: Simplify (+ 0 1) into 1 26.871 * [backup-simplify]: Simplify (/ PI 1) into PI 26.871 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 26.871 * [taylor]: Taking taylor expansion of -1 in a 26.871 * [backup-simplify]: Simplify -1 into -1 26.871 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 26.871 * [taylor]: Taking taylor expansion of PI in a 26.871 * [backup-simplify]: Simplify PI into PI 26.871 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 26.871 * [taylor]: Taking taylor expansion of (/ 1 a) in a 26.871 * [taylor]: Taking taylor expansion of a in a 26.871 * [backup-simplify]: Simplify 0 into 0 26.871 * [backup-simplify]: Simplify 1 into 1 26.872 * [backup-simplify]: Simplify (/ 1 1) into 1 26.872 * [taylor]: Taking taylor expansion of (/ 1 b) in a 26.872 * [taylor]: Taking taylor expansion of b in a 26.872 * [backup-simplify]: Simplify b into b 26.872 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 26.872 * [backup-simplify]: Simplify (+ 1 0) into 1 26.873 * [backup-simplify]: Simplify (/ PI 1) into PI 26.873 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 26.873 * [taylor]: Taking taylor expansion of -1 in a 26.873 * [backup-simplify]: Simplify -1 into -1 26.873 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 26.873 * [taylor]: Taking taylor expansion of PI in a 26.873 * [backup-simplify]: Simplify PI into PI 26.873 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 26.873 * [taylor]: Taking taylor expansion of (/ 1 a) in a 26.873 * [taylor]: Taking taylor expansion of a in a 26.873 * [backup-simplify]: Simplify 0 into 0 26.873 * [backup-simplify]: Simplify 1 into 1 26.873 * [backup-simplify]: Simplify (/ 1 1) into 1 26.873 * [taylor]: Taking taylor expansion of (/ 1 b) in a 26.873 * [taylor]: Taking taylor expansion of b in a 26.873 * [backup-simplify]: Simplify b into b 26.874 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 26.874 * [backup-simplify]: Simplify (+ 1 0) into 1 26.874 * [backup-simplify]: Simplify (/ PI 1) into PI 26.875 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 26.875 * [taylor]: Taking taylor expansion of (* -1 PI) in b 26.875 * [taylor]: Taking taylor expansion of -1 in b 26.875 * [backup-simplify]: Simplify -1 into -1 26.875 * [taylor]: Taking taylor expansion of PI in b 26.875 * [backup-simplify]: Simplify PI into PI 26.876 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 26.876 * [backup-simplify]: Simplify 0 into 0 26.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.877 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 26.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 26.878 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 26.878 * [taylor]: Taking taylor expansion of (/ PI b) in b 26.878 * [taylor]: Taking taylor expansion of PI in b 26.878 * [backup-simplify]: Simplify PI into PI 26.878 * [taylor]: Taking taylor expansion of b in b 26.878 * [backup-simplify]: Simplify 0 into 0 26.878 * [backup-simplify]: Simplify 1 into 1 26.878 * [backup-simplify]: Simplify (/ PI 1) into PI 26.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.880 * [backup-simplify]: Simplify 0 into 0 26.881 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 26.881 * [backup-simplify]: Simplify 0 into 0 26.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 26.883 * [backup-simplify]: Simplify (+ 0 0) into 0 26.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 26.885 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 26.885 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 26.885 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 26.885 * [taylor]: Taking taylor expansion of PI in b 26.885 * [backup-simplify]: Simplify PI into PI 26.885 * [taylor]: Taking taylor expansion of (pow b 2) in b 26.885 * [taylor]: Taking taylor expansion of b in b 26.885 * [backup-simplify]: Simplify 0 into 0 26.885 * [backup-simplify]: Simplify 1 into 1 26.885 * [backup-simplify]: Simplify (* 1 1) into 1 26.886 * [backup-simplify]: Simplify (/ PI 1) into PI 26.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.892 * [backup-simplify]: Simplify (- 0) into 0 26.892 * [backup-simplify]: Simplify 0 into 0 26.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.893 * [backup-simplify]: Simplify 0 into 0 26.894 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 26.894 * [backup-simplify]: Simplify 0 into 0 26.894 * [backup-simplify]: Simplify 0 into 0 26.894 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 26.894 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 26.894 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 26.894 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 26.894 * [taylor]: Taking taylor expansion of PI in b 26.894 * [backup-simplify]: Simplify PI into PI 26.894 * [taylor]: Taking taylor expansion of (+ a b) in b 26.894 * [taylor]: Taking taylor expansion of a in b 26.895 * [backup-simplify]: Simplify a into a 26.895 * [taylor]: Taking taylor expansion of b in b 26.895 * [backup-simplify]: Simplify 0 into 0 26.895 * [backup-simplify]: Simplify 1 into 1 26.895 * [backup-simplify]: Simplify (+ a 0) into a 26.895 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 26.895 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 26.895 * [taylor]: Taking taylor expansion of PI in a 26.895 * [backup-simplify]: Simplify PI into PI 26.895 * [taylor]: Taking taylor expansion of (+ a b) in a 26.895 * [taylor]: Taking taylor expansion of a in a 26.895 * [backup-simplify]: Simplify 0 into 0 26.895 * [backup-simplify]: Simplify 1 into 1 26.895 * [taylor]: Taking taylor expansion of b in a 26.895 * [backup-simplify]: Simplify b into b 26.895 * [backup-simplify]: Simplify (+ 0 b) into b 26.895 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 26.895 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 26.895 * [taylor]: Taking taylor expansion of PI in a 26.895 * [backup-simplify]: Simplify PI into PI 26.895 * [taylor]: Taking taylor expansion of (+ a b) in a 26.895 * [taylor]: Taking taylor expansion of a in a 26.895 * [backup-simplify]: Simplify 0 into 0 26.895 * [backup-simplify]: Simplify 1 into 1 26.895 * [taylor]: Taking taylor expansion of b in a 26.895 * [backup-simplify]: Simplify b into b 26.895 * [backup-simplify]: Simplify (+ 0 b) into b 26.895 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 26.895 * [taylor]: Taking taylor expansion of (/ PI b) in b 26.895 * [taylor]: Taking taylor expansion of PI in b 26.895 * [backup-simplify]: Simplify PI into PI 26.895 * [taylor]: Taking taylor expansion of b in b 26.895 * [backup-simplify]: Simplify 0 into 0 26.896 * [backup-simplify]: Simplify 1 into 1 26.896 * [backup-simplify]: Simplify (/ PI 1) into PI 26.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.897 * [backup-simplify]: Simplify 0 into 0 26.897 * [backup-simplify]: Simplify (+ 1 0) into 1 26.898 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 26.898 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 26.898 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 26.898 * [taylor]: Taking taylor expansion of PI in b 26.898 * [backup-simplify]: Simplify PI into PI 26.898 * [taylor]: Taking taylor expansion of (pow b 2) in b 26.898 * [taylor]: Taking taylor expansion of b in b 26.898 * [backup-simplify]: Simplify 0 into 0 26.898 * [backup-simplify]: Simplify 1 into 1 26.898 * [backup-simplify]: Simplify (* 1 1) into 1 26.899 * [backup-simplify]: Simplify (/ PI 1) into PI 26.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.903 * [backup-simplify]: Simplify (- 0) into 0 26.903 * [backup-simplify]: Simplify 0 into 0 26.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.904 * [backup-simplify]: Simplify 0 into 0 26.904 * [backup-simplify]: Simplify (+ 0 0) into 0 26.905 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 26.905 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 26.905 * [taylor]: Taking taylor expansion of PI in b 26.905 * [backup-simplify]: Simplify PI into PI 26.905 * [taylor]: Taking taylor expansion of (pow b 3) in b 26.905 * [taylor]: Taking taylor expansion of b in b 26.905 * [backup-simplify]: Simplify 0 into 0 26.905 * [backup-simplify]: Simplify 1 into 1 26.905 * [backup-simplify]: Simplify (* 1 1) into 1 26.906 * [backup-simplify]: Simplify (* 1 1) into 1 26.906 * [backup-simplify]: Simplify (/ PI 1) into PI 26.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.925 * [backup-simplify]: Simplify 0 into 0 26.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.927 * [backup-simplify]: Simplify (- 0) into 0 26.927 * [backup-simplify]: Simplify 0 into 0 26.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.929 * [backup-simplify]: Simplify 0 into 0 26.929 * [backup-simplify]: Simplify 0 into 0 26.929 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 26.929 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 26.929 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 26.929 * [taylor]: Taking taylor expansion of PI in b 26.929 * [backup-simplify]: Simplify PI into PI 26.929 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 26.929 * [taylor]: Taking taylor expansion of (/ 1 a) in b 26.929 * [taylor]: Taking taylor expansion of a in b 26.929 * [backup-simplify]: Simplify a into a 26.929 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 26.929 * [taylor]: Taking taylor expansion of (/ 1 b) in b 26.929 * [taylor]: Taking taylor expansion of b in b 26.929 * [backup-simplify]: Simplify 0 into 0 26.929 * [backup-simplify]: Simplify 1 into 1 26.929 * [backup-simplify]: Simplify (/ 1 1) into 1 26.930 * [backup-simplify]: Simplify (+ 0 1) into 1 26.930 * [backup-simplify]: Simplify (/ PI 1) into PI 26.930 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 26.930 * [taylor]: Taking taylor expansion of PI in a 26.930 * [backup-simplify]: Simplify PI into PI 26.930 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 26.930 * [taylor]: Taking taylor expansion of (/ 1 a) in a 26.930 * [taylor]: Taking taylor expansion of a in a 26.931 * [backup-simplify]: Simplify 0 into 0 26.931 * [backup-simplify]: Simplify 1 into 1 26.931 * [backup-simplify]: Simplify (/ 1 1) into 1 26.931 * [taylor]: Taking taylor expansion of (/ 1 b) in a 26.931 * [taylor]: Taking taylor expansion of b in a 26.931 * [backup-simplify]: Simplify b into b 26.931 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 26.931 * [backup-simplify]: Simplify (+ 1 0) into 1 26.932 * [backup-simplify]: Simplify (/ PI 1) into PI 26.932 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 26.932 * [taylor]: Taking taylor expansion of PI in a 26.932 * [backup-simplify]: Simplify PI into PI 26.932 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 26.932 * [taylor]: Taking taylor expansion of (/ 1 a) in a 26.932 * [taylor]: Taking taylor expansion of a in a 26.932 * [backup-simplify]: Simplify 0 into 0 26.932 * [backup-simplify]: Simplify 1 into 1 26.932 * [backup-simplify]: Simplify (/ 1 1) into 1 26.933 * [taylor]: Taking taylor expansion of (/ 1 b) in a 26.933 * [taylor]: Taking taylor expansion of b in a 26.933 * [backup-simplify]: Simplify b into b 26.933 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 26.933 * [backup-simplify]: Simplify (+ 1 0) into 1 26.933 * [backup-simplify]: Simplify (/ PI 1) into PI 26.934 * [taylor]: Taking taylor expansion of PI in b 26.934 * [backup-simplify]: Simplify PI into PI 26.934 * [backup-simplify]: Simplify 0 into 0 26.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.934 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 26.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 26.935 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 26.935 * [taylor]: Taking taylor expansion of (/ PI b) in b 26.935 * [taylor]: Taking taylor expansion of PI in b 26.935 * [backup-simplify]: Simplify PI into PI 26.935 * [taylor]: Taking taylor expansion of b in b 26.935 * [backup-simplify]: Simplify 0 into 0 26.935 * [backup-simplify]: Simplify 1 into 1 26.936 * [backup-simplify]: Simplify (/ PI 1) into PI 26.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.938 * [backup-simplify]: Simplify (- 0) into 0 26.938 * [backup-simplify]: Simplify 0 into 0 26.938 * [backup-simplify]: Simplify 0 into 0 26.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 26.939 * [backup-simplify]: Simplify (+ 0 0) into 0 26.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 26.940 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 26.940 * [taylor]: Taking taylor expansion of PI in b 26.940 * [backup-simplify]: Simplify PI into PI 26.940 * [taylor]: Taking taylor expansion of (pow b 2) in b 26.941 * [taylor]: Taking taylor expansion of b in b 26.941 * [backup-simplify]: Simplify 0 into 0 26.941 * [backup-simplify]: Simplify 1 into 1 26.941 * [backup-simplify]: Simplify (* 1 1) into 1 26.941 * [backup-simplify]: Simplify (/ PI 1) into PI 26.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.946 * [backup-simplify]: Simplify 0 into 0 26.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.946 * [backup-simplify]: Simplify (- 0) into 0 26.946 * [backup-simplify]: Simplify 0 into 0 26.946 * [backup-simplify]: Simplify 0 into 0 26.946 * [backup-simplify]: Simplify 0 into 0 26.947 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 26.947 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 26.947 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 26.947 * [taylor]: Taking taylor expansion of -1 in b 26.947 * [backup-simplify]: Simplify -1 into -1 26.947 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 26.947 * [taylor]: Taking taylor expansion of PI in b 26.947 * [backup-simplify]: Simplify PI into PI 26.947 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 26.947 * [taylor]: Taking taylor expansion of (/ 1 a) in b 26.947 * [taylor]: Taking taylor expansion of a in b 26.947 * [backup-simplify]: Simplify a into a 26.947 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 26.947 * [taylor]: Taking taylor expansion of (/ 1 b) in b 26.947 * [taylor]: Taking taylor expansion of b in b 26.947 * [backup-simplify]: Simplify 0 into 0 26.947 * [backup-simplify]: Simplify 1 into 1 26.947 * [backup-simplify]: Simplify (/ 1 1) into 1 26.947 * [backup-simplify]: Simplify (+ 0 1) into 1 26.948 * [backup-simplify]: Simplify (/ PI 1) into PI 26.948 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 26.948 * [taylor]: Taking taylor expansion of -1 in a 26.948 * [backup-simplify]: Simplify -1 into -1 26.948 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 26.948 * [taylor]: Taking taylor expansion of PI in a 26.948 * [backup-simplify]: Simplify PI into PI 26.948 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 26.948 * [taylor]: Taking taylor expansion of (/ 1 a) in a 26.948 * [taylor]: Taking taylor expansion of a in a 26.948 * [backup-simplify]: Simplify 0 into 0 26.948 * [backup-simplify]: Simplify 1 into 1 26.948 * [backup-simplify]: Simplify (/ 1 1) into 1 26.948 * [taylor]: Taking taylor expansion of (/ 1 b) in a 26.948 * [taylor]: Taking taylor expansion of b in a 26.948 * [backup-simplify]: Simplify b into b 26.948 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 26.948 * [backup-simplify]: Simplify (+ 1 0) into 1 26.949 * [backup-simplify]: Simplify (/ PI 1) into PI 26.949 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 26.949 * [taylor]: Taking taylor expansion of -1 in a 26.949 * [backup-simplify]: Simplify -1 into -1 26.949 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 26.949 * [taylor]: Taking taylor expansion of PI in a 26.949 * [backup-simplify]: Simplify PI into PI 26.949 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 26.949 * [taylor]: Taking taylor expansion of (/ 1 a) in a 26.949 * [taylor]: Taking taylor expansion of a in a 26.949 * [backup-simplify]: Simplify 0 into 0 26.949 * [backup-simplify]: Simplify 1 into 1 26.949 * [backup-simplify]: Simplify (/ 1 1) into 1 26.949 * [taylor]: Taking taylor expansion of (/ 1 b) in a 26.949 * [taylor]: Taking taylor expansion of b in a 26.949 * [backup-simplify]: Simplify b into b 26.949 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 26.950 * [backup-simplify]: Simplify (+ 1 0) into 1 26.950 * [backup-simplify]: Simplify (/ PI 1) into PI 26.950 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 26.950 * [taylor]: Taking taylor expansion of (* -1 PI) in b 26.950 * [taylor]: Taking taylor expansion of -1 in b 26.950 * [backup-simplify]: Simplify -1 into -1 26.950 * [taylor]: Taking taylor expansion of PI in b 26.950 * [backup-simplify]: Simplify PI into PI 26.951 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 26.951 * [backup-simplify]: Simplify 0 into 0 26.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.951 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 26.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 26.952 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 26.952 * [taylor]: Taking taylor expansion of (/ PI b) in b 26.952 * [taylor]: Taking taylor expansion of PI in b 26.952 * [backup-simplify]: Simplify PI into PI 26.952 * [taylor]: Taking taylor expansion of b in b 26.952 * [backup-simplify]: Simplify 0 into 0 26.952 * [backup-simplify]: Simplify 1 into 1 26.952 * [backup-simplify]: Simplify (/ PI 1) into PI 26.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.954 * [backup-simplify]: Simplify 0 into 0 26.954 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 26.954 * [backup-simplify]: Simplify 0 into 0 26.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 26.955 * [backup-simplify]: Simplify (+ 0 0) into 0 26.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 26.957 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 26.957 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 26.957 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 26.957 * [taylor]: Taking taylor expansion of PI in b 26.957 * [backup-simplify]: Simplify PI into PI 26.957 * [taylor]: Taking taylor expansion of (pow b 2) in b 26.957 * [taylor]: Taking taylor expansion of b in b 26.957 * [backup-simplify]: Simplify 0 into 0 26.957 * [backup-simplify]: Simplify 1 into 1 26.957 * [backup-simplify]: Simplify (* 1 1) into 1 26.957 * [backup-simplify]: Simplify (/ PI 1) into PI 26.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.961 * [backup-simplify]: Simplify (- 0) into 0 26.961 * [backup-simplify]: Simplify 0 into 0 26.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.962 * [backup-simplify]: Simplify 0 into 0 26.963 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 26.963 * [backup-simplify]: Simplify 0 into 0 26.963 * [backup-simplify]: Simplify 0 into 0 26.963 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 26.963 * [backup-simplify]: Simplify (/ (/ (/ PI (+ a b)) 2) a) into (* 1/2 (/ PI (* a (+ a b)))) 26.963 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in (a b) around 0 26.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in b 26.963 * [taylor]: Taking taylor expansion of 1/2 in b 26.963 * [backup-simplify]: Simplify 1/2 into 1/2 26.963 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in b 26.963 * [taylor]: Taking taylor expansion of PI in b 26.963 * [backup-simplify]: Simplify PI into PI 26.963 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 26.963 * [taylor]: Taking taylor expansion of a in b 26.963 * [backup-simplify]: Simplify a into a 26.963 * [taylor]: Taking taylor expansion of (+ a b) in b 26.963 * [taylor]: Taking taylor expansion of a in b 26.963 * [backup-simplify]: Simplify a into a 26.963 * [taylor]: Taking taylor expansion of b in b 26.963 * [backup-simplify]: Simplify 0 into 0 26.963 * [backup-simplify]: Simplify 1 into 1 26.963 * [backup-simplify]: Simplify (+ a 0) into a 26.963 * [backup-simplify]: Simplify (* a a) into (pow a 2) 26.963 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 26.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 26.963 * [taylor]: Taking taylor expansion of 1/2 in a 26.963 * [backup-simplify]: Simplify 1/2 into 1/2 26.963 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 26.963 * [taylor]: Taking taylor expansion of PI in a 26.963 * [backup-simplify]: Simplify PI into PI 26.963 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 26.963 * [taylor]: Taking taylor expansion of a in a 26.963 * [backup-simplify]: Simplify 0 into 0 26.963 * [backup-simplify]: Simplify 1 into 1 26.963 * [taylor]: Taking taylor expansion of (+ a b) in a 26.963 * [taylor]: Taking taylor expansion of a in a 26.963 * [backup-simplify]: Simplify 0 into 0 26.963 * [backup-simplify]: Simplify 1 into 1 26.963 * [taylor]: Taking taylor expansion of b in a 26.963 * [backup-simplify]: Simplify b into b 26.963 * [backup-simplify]: Simplify (+ 0 b) into b 26.964 * [backup-simplify]: Simplify (* 0 b) into 0 26.964 * [backup-simplify]: Simplify (+ 1 0) into 1 26.964 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 26.964 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 26.964 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 26.964 * [taylor]: Taking taylor expansion of 1/2 in a 26.964 * [backup-simplify]: Simplify 1/2 into 1/2 26.964 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 26.964 * [taylor]: Taking taylor expansion of PI in a 26.964 * [backup-simplify]: Simplify PI into PI 26.964 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 26.964 * [taylor]: Taking taylor expansion of a in a 26.964 * [backup-simplify]: Simplify 0 into 0 26.964 * [backup-simplify]: Simplify 1 into 1 26.964 * [taylor]: Taking taylor expansion of (+ a b) in a 26.964 * [taylor]: Taking taylor expansion of a in a 26.964 * [backup-simplify]: Simplify 0 into 0 26.964 * [backup-simplify]: Simplify 1 into 1 26.964 * [taylor]: Taking taylor expansion of b in a 26.964 * [backup-simplify]: Simplify b into b 26.965 * [backup-simplify]: Simplify (+ 0 b) into b 26.965 * [backup-simplify]: Simplify (* 0 b) into 0 26.965 * [backup-simplify]: Simplify (+ 1 0) into 1 26.965 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 26.965 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 26.965 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 26.965 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 26.965 * [taylor]: Taking taylor expansion of 1/2 in b 26.965 * [backup-simplify]: Simplify 1/2 into 1/2 26.965 * [taylor]: Taking taylor expansion of (/ PI b) in b 26.965 * [taylor]: Taking taylor expansion of PI in b 26.965 * [backup-simplify]: Simplify PI into PI 26.965 * [taylor]: Taking taylor expansion of b in b 26.965 * [backup-simplify]: Simplify 0 into 0 26.965 * [backup-simplify]: Simplify 1 into 1 26.966 * [backup-simplify]: Simplify (/ PI 1) into PI 26.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 26.967 * [backup-simplify]: Simplify 0 into 0 26.967 * [backup-simplify]: Simplify (+ 0 0) into 0 26.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 b))) into 1 26.968 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 26.968 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 26.968 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 26.968 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 26.968 * [taylor]: Taking taylor expansion of 1/2 in b 26.968 * [backup-simplify]: Simplify 1/2 into 1/2 26.968 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 26.968 * [taylor]: Taking taylor expansion of PI in b 26.968 * [backup-simplify]: Simplify PI into PI 26.968 * [taylor]: Taking taylor expansion of (pow b 2) in b 26.968 * [taylor]: Taking taylor expansion of b in b 26.968 * [backup-simplify]: Simplify 0 into 0 26.968 * [backup-simplify]: Simplify 1 into 1 26.968 * [backup-simplify]: Simplify (* 1 1) into 1 26.969 * [backup-simplify]: Simplify (/ PI 1) into PI 26.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 26.972 * [backup-simplify]: Simplify (- 0) into 0 26.972 * [backup-simplify]: Simplify 0 into 0 26.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.973 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 26.973 * [backup-simplify]: Simplify 0 into 0 26.973 * [backup-simplify]: Simplify (+ 0 0) into 0 26.974 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 b)))) into 0 26.974 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 26.974 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 26.974 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 26.974 * [taylor]: Taking taylor expansion of 1/2 in b 26.974 * [backup-simplify]: Simplify 1/2 into 1/2 26.974 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 26.974 * [taylor]: Taking taylor expansion of PI in b 26.974 * [backup-simplify]: Simplify PI into PI 26.974 * [taylor]: Taking taylor expansion of (pow b 3) in b 26.974 * [taylor]: Taking taylor expansion of b in b 26.974 * [backup-simplify]: Simplify 0 into 0 26.974 * [backup-simplify]: Simplify 1 into 1 26.975 * [backup-simplify]: Simplify (* 1 1) into 1 26.975 * [backup-simplify]: Simplify (* 1 1) into 1 26.975 * [backup-simplify]: Simplify (/ PI 1) into PI 26.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 26.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 26.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 26.981 * [backup-simplify]: Simplify 0 into 0 26.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 26.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 26.984 * [backup-simplify]: Simplify (- 0) into 0 26.984 * [backup-simplify]: Simplify 0 into 0 26.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.986 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 26.986 * [backup-simplify]: Simplify 0 into 0 26.986 * [backup-simplify]: Simplify 0 into 0 26.986 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2) (/ 1 a)) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 26.986 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 26.986 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 26.986 * [taylor]: Taking taylor expansion of 1/2 in b 26.986 * [backup-simplify]: Simplify 1/2 into 1/2 26.986 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 26.986 * [taylor]: Taking taylor expansion of (* a PI) in b 26.986 * [taylor]: Taking taylor expansion of a in b 26.986 * [backup-simplify]: Simplify a into a 26.986 * [taylor]: Taking taylor expansion of PI in b 26.986 * [backup-simplify]: Simplify PI into PI 26.986 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 26.986 * [taylor]: Taking taylor expansion of (/ 1 a) in b 26.986 * [taylor]: Taking taylor expansion of a in b 26.986 * [backup-simplify]: Simplify a into a 26.986 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 26.986 * [taylor]: Taking taylor expansion of (/ 1 b) in b 26.986 * [taylor]: Taking taylor expansion of b in b 26.986 * [backup-simplify]: Simplify 0 into 0 26.986 * [backup-simplify]: Simplify 1 into 1 26.987 * [backup-simplify]: Simplify (/ 1 1) into 1 26.987 * [backup-simplify]: Simplify (* a PI) into (* a PI) 26.987 * [backup-simplify]: Simplify (+ 0 1) into 1 26.987 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 26.987 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 26.987 * [taylor]: Taking taylor expansion of 1/2 in a 26.987 * [backup-simplify]: Simplify 1/2 into 1/2 26.987 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 26.987 * [taylor]: Taking taylor expansion of (* a PI) in a 26.987 * [taylor]: Taking taylor expansion of a in a 26.987 * [backup-simplify]: Simplify 0 into 0 26.987 * [backup-simplify]: Simplify 1 into 1 26.987 * [taylor]: Taking taylor expansion of PI in a 26.987 * [backup-simplify]: Simplify PI into PI 26.987 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 26.987 * [taylor]: Taking taylor expansion of (/ 1 a) in a 26.987 * [taylor]: Taking taylor expansion of a in a 26.987 * [backup-simplify]: Simplify 0 into 0 26.987 * [backup-simplify]: Simplify 1 into 1 26.988 * [backup-simplify]: Simplify (/ 1 1) into 1 26.988 * [taylor]: Taking taylor expansion of (/ 1 b) in a 26.988 * [taylor]: Taking taylor expansion of b in a 26.988 * [backup-simplify]: Simplify b into b 26.988 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 26.988 * [backup-simplify]: Simplify (* 0 PI) into 0 26.989 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 26.989 * [backup-simplify]: Simplify (+ 1 0) into 1 26.990 * [backup-simplify]: Simplify (/ PI 1) into PI 26.990 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 26.990 * [taylor]: Taking taylor expansion of 1/2 in a 26.990 * [backup-simplify]: Simplify 1/2 into 1/2 26.990 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 26.990 * [taylor]: Taking taylor expansion of (* a PI) in a 26.990 * [taylor]: Taking taylor expansion of a in a 26.990 * [backup-simplify]: Simplify 0 into 0 26.990 * [backup-simplify]: Simplify 1 into 1 26.990 * [taylor]: Taking taylor expansion of PI in a 26.990 * [backup-simplify]: Simplify PI into PI 26.990 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 26.990 * [taylor]: Taking taylor expansion of (/ 1 a) in a 26.990 * [taylor]: Taking taylor expansion of a in a 26.990 * [backup-simplify]: Simplify 0 into 0 26.990 * [backup-simplify]: Simplify 1 into 1 26.990 * [backup-simplify]: Simplify (/ 1 1) into 1 26.990 * [taylor]: Taking taylor expansion of (/ 1 b) in a 26.990 * [taylor]: Taking taylor expansion of b in a 26.990 * [backup-simplify]: Simplify b into b 26.990 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 26.990 * [backup-simplify]: Simplify (* 0 PI) into 0 26.991 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 26.992 * [backup-simplify]: Simplify (+ 1 0) into 1 26.992 * [backup-simplify]: Simplify (/ PI 1) into PI 26.992 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 26.992 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 26.992 * [taylor]: Taking taylor expansion of 1/2 in b 26.992 * [backup-simplify]: Simplify 1/2 into 1/2 26.992 * [taylor]: Taking taylor expansion of PI in b 26.992 * [backup-simplify]: Simplify PI into PI 26.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 26.993 * [backup-simplify]: Simplify 0 into 0 26.994 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 26.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 26.994 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 26.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 26.995 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 26.995 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 26.995 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 26.995 * [taylor]: Taking taylor expansion of 1/2 in b 26.995 * [backup-simplify]: Simplify 1/2 into 1/2 26.995 * [taylor]: Taking taylor expansion of (/ PI b) in b 26.995 * [taylor]: Taking taylor expansion of PI in b 26.995 * [backup-simplify]: Simplify PI into PI 26.995 * [taylor]: Taking taylor expansion of b in b 26.995 * [backup-simplify]: Simplify 0 into 0 26.995 * [backup-simplify]: Simplify 1 into 1 26.995 * [backup-simplify]: Simplify (/ PI 1) into PI 26.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 26.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.997 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 26.997 * [backup-simplify]: Simplify (- 0) into 0 26.997 * [backup-simplify]: Simplify 0 into 0 26.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 26.998 * [backup-simplify]: Simplify 0 into 0 26.999 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 26.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 26.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 27.000 * [backup-simplify]: Simplify (+ 0 0) into 0 27.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 27.001 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 27.001 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 27.001 * [taylor]: Taking taylor expansion of 1/2 in b 27.001 * [backup-simplify]: Simplify 1/2 into 1/2 27.001 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 27.001 * [taylor]: Taking taylor expansion of PI in b 27.001 * [backup-simplify]: Simplify PI into PI 27.001 * [taylor]: Taking taylor expansion of (pow b 2) in b 27.001 * [taylor]: Taking taylor expansion of b in b 27.001 * [backup-simplify]: Simplify 0 into 0 27.001 * [backup-simplify]: Simplify 1 into 1 27.001 * [backup-simplify]: Simplify (* 1 1) into 1 27.002 * [backup-simplify]: Simplify (/ PI 1) into PI 27.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 27.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.006 * [backup-simplify]: Simplify 0 into 0 27.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.007 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.007 * [backup-simplify]: Simplify (- 0) into 0 27.007 * [backup-simplify]: Simplify 0 into 0 27.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.008 * [backup-simplify]: Simplify 0 into 0 27.008 * [backup-simplify]: Simplify 0 into 0 27.008 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ 1 (- a))) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 27.008 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 27.008 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 27.008 * [taylor]: Taking taylor expansion of 1/2 in b 27.008 * [backup-simplify]: Simplify 1/2 into 1/2 27.008 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 27.008 * [taylor]: Taking taylor expansion of (* a PI) in b 27.008 * [taylor]: Taking taylor expansion of a in b 27.008 * [backup-simplify]: Simplify a into a 27.008 * [taylor]: Taking taylor expansion of PI in b 27.008 * [backup-simplify]: Simplify PI into PI 27.008 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 27.008 * [taylor]: Taking taylor expansion of (/ 1 a) in b 27.008 * [taylor]: Taking taylor expansion of a in b 27.008 * [backup-simplify]: Simplify a into a 27.008 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 27.008 * [taylor]: Taking taylor expansion of (/ 1 b) in b 27.008 * [taylor]: Taking taylor expansion of b in b 27.008 * [backup-simplify]: Simplify 0 into 0 27.009 * [backup-simplify]: Simplify 1 into 1 27.009 * [backup-simplify]: Simplify (/ 1 1) into 1 27.009 * [backup-simplify]: Simplify (* a PI) into (* a PI) 27.009 * [backup-simplify]: Simplify (+ 0 1) into 1 27.009 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 27.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 27.009 * [taylor]: Taking taylor expansion of 1/2 in a 27.009 * [backup-simplify]: Simplify 1/2 into 1/2 27.009 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 27.009 * [taylor]: Taking taylor expansion of (* a PI) in a 27.009 * [taylor]: Taking taylor expansion of a in a 27.009 * [backup-simplify]: Simplify 0 into 0 27.009 * [backup-simplify]: Simplify 1 into 1 27.009 * [taylor]: Taking taylor expansion of PI in a 27.009 * [backup-simplify]: Simplify PI into PI 27.009 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 27.009 * [taylor]: Taking taylor expansion of (/ 1 a) in a 27.009 * [taylor]: Taking taylor expansion of a in a 27.009 * [backup-simplify]: Simplify 0 into 0 27.009 * [backup-simplify]: Simplify 1 into 1 27.010 * [backup-simplify]: Simplify (/ 1 1) into 1 27.010 * [taylor]: Taking taylor expansion of (/ 1 b) in a 27.010 * [taylor]: Taking taylor expansion of b in a 27.010 * [backup-simplify]: Simplify b into b 27.010 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 27.010 * [backup-simplify]: Simplify (* 0 PI) into 0 27.011 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 27.011 * [backup-simplify]: Simplify (+ 1 0) into 1 27.012 * [backup-simplify]: Simplify (/ PI 1) into PI 27.012 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 27.012 * [taylor]: Taking taylor expansion of 1/2 in a 27.012 * [backup-simplify]: Simplify 1/2 into 1/2 27.012 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 27.012 * [taylor]: Taking taylor expansion of (* a PI) in a 27.012 * [taylor]: Taking taylor expansion of a in a 27.012 * [backup-simplify]: Simplify 0 into 0 27.012 * [backup-simplify]: Simplify 1 into 1 27.012 * [taylor]: Taking taylor expansion of PI in a 27.012 * [backup-simplify]: Simplify PI into PI 27.012 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 27.012 * [taylor]: Taking taylor expansion of (/ 1 a) in a 27.012 * [taylor]: Taking taylor expansion of a in a 27.012 * [backup-simplify]: Simplify 0 into 0 27.012 * [backup-simplify]: Simplify 1 into 1 27.012 * [backup-simplify]: Simplify (/ 1 1) into 1 27.012 * [taylor]: Taking taylor expansion of (/ 1 b) in a 27.012 * [taylor]: Taking taylor expansion of b in a 27.012 * [backup-simplify]: Simplify b into b 27.012 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 27.013 * [backup-simplify]: Simplify (* 0 PI) into 0 27.014 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 27.014 * [backup-simplify]: Simplify (+ 1 0) into 1 27.014 * [backup-simplify]: Simplify (/ PI 1) into PI 27.015 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 27.015 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 27.015 * [taylor]: Taking taylor expansion of 1/2 in b 27.015 * [backup-simplify]: Simplify 1/2 into 1/2 27.015 * [taylor]: Taking taylor expansion of PI in b 27.015 * [backup-simplify]: Simplify PI into PI 27.015 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 27.015 * [backup-simplify]: Simplify 0 into 0 27.016 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 27.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.016 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 27.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 27.017 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 27.017 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 27.017 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 27.017 * [taylor]: Taking taylor expansion of 1/2 in b 27.017 * [backup-simplify]: Simplify 1/2 into 1/2 27.017 * [taylor]: Taking taylor expansion of (/ PI b) in b 27.017 * [taylor]: Taking taylor expansion of PI in b 27.017 * [backup-simplify]: Simplify PI into PI 27.017 * [taylor]: Taking taylor expansion of b in b 27.017 * [backup-simplify]: Simplify 0 into 0 27.017 * [backup-simplify]: Simplify 1 into 1 27.017 * [backup-simplify]: Simplify (/ PI 1) into PI 27.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 27.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.019 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 27.020 * [backup-simplify]: Simplify (- 0) into 0 27.020 * [backup-simplify]: Simplify 0 into 0 27.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 27.020 * [backup-simplify]: Simplify 0 into 0 27.021 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 27.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 27.026 * [backup-simplify]: Simplify (+ 0 0) into 0 27.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 27.027 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 27.027 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 27.027 * [taylor]: Taking taylor expansion of 1/2 in b 27.027 * [backup-simplify]: Simplify 1/2 into 1/2 27.027 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 27.027 * [taylor]: Taking taylor expansion of PI in b 27.027 * [backup-simplify]: Simplify PI into PI 27.027 * [taylor]: Taking taylor expansion of (pow b 2) in b 27.027 * [taylor]: Taking taylor expansion of b in b 27.027 * [backup-simplify]: Simplify 0 into 0 27.027 * [backup-simplify]: Simplify 1 into 1 27.027 * [backup-simplify]: Simplify (* 1 1) into 1 27.028 * [backup-simplify]: Simplify (/ PI 1) into PI 27.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 27.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.032 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.032 * [backup-simplify]: Simplify 0 into 0 27.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.034 * [backup-simplify]: Simplify (- 0) into 0 27.034 * [backup-simplify]: Simplify 0 into 0 27.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.035 * [backup-simplify]: Simplify 0 into 0 27.035 * [backup-simplify]: Simplify 0 into 0 27.035 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 27.035 * [backup-simplify]: Simplify (/ (/ (* PI (/ 1 (+ a b))) 2) b) into (* 1/2 (/ PI (* b (+ a b)))) 27.035 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in (a b) around 0 27.035 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in b 27.035 * [taylor]: Taking taylor expansion of 1/2 in b 27.035 * [backup-simplify]: Simplify 1/2 into 1/2 27.035 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in b 27.035 * [taylor]: Taking taylor expansion of PI in b 27.035 * [backup-simplify]: Simplify PI into PI 27.035 * [taylor]: Taking taylor expansion of (* b (+ a b)) in b 27.035 * [taylor]: Taking taylor expansion of b in b 27.035 * [backup-simplify]: Simplify 0 into 0 27.035 * [backup-simplify]: Simplify 1 into 1 27.035 * [taylor]: Taking taylor expansion of (+ a b) in b 27.035 * [taylor]: Taking taylor expansion of a in b 27.035 * [backup-simplify]: Simplify a into a 27.035 * [taylor]: Taking taylor expansion of b in b 27.035 * [backup-simplify]: Simplify 0 into 0 27.035 * [backup-simplify]: Simplify 1 into 1 27.035 * [backup-simplify]: Simplify (+ a 0) into a 27.035 * [backup-simplify]: Simplify (* 0 a) into 0 27.035 * [backup-simplify]: Simplify (+ 0 1) into 1 27.036 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 a)) into a 27.036 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 27.036 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in a 27.036 * [taylor]: Taking taylor expansion of 1/2 in a 27.036 * [backup-simplify]: Simplify 1/2 into 1/2 27.036 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in a 27.036 * [taylor]: Taking taylor expansion of PI in a 27.036 * [backup-simplify]: Simplify PI into PI 27.036 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 27.036 * [taylor]: Taking taylor expansion of b in a 27.036 * [backup-simplify]: Simplify b into b 27.036 * [taylor]: Taking taylor expansion of (+ a b) in a 27.036 * [taylor]: Taking taylor expansion of a in a 27.036 * [backup-simplify]: Simplify 0 into 0 27.036 * [backup-simplify]: Simplify 1 into 1 27.036 * [taylor]: Taking taylor expansion of b in a 27.036 * [backup-simplify]: Simplify b into b 27.036 * [backup-simplify]: Simplify (+ 0 b) into b 27.036 * [backup-simplify]: Simplify (* b b) into (pow b 2) 27.036 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 27.036 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in a 27.036 * [taylor]: Taking taylor expansion of 1/2 in a 27.036 * [backup-simplify]: Simplify 1/2 into 1/2 27.036 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in a 27.036 * [taylor]: Taking taylor expansion of PI in a 27.036 * [backup-simplify]: Simplify PI into PI 27.036 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 27.036 * [taylor]: Taking taylor expansion of b in a 27.036 * [backup-simplify]: Simplify b into b 27.036 * [taylor]: Taking taylor expansion of (+ a b) in a 27.036 * [taylor]: Taking taylor expansion of a in a 27.036 * [backup-simplify]: Simplify 0 into 0 27.036 * [backup-simplify]: Simplify 1 into 1 27.036 * [taylor]: Taking taylor expansion of b in a 27.036 * [backup-simplify]: Simplify b into b 27.036 * [backup-simplify]: Simplify (+ 0 b) into b 27.036 * [backup-simplify]: Simplify (* b b) into (pow b 2) 27.036 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 27.037 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 27.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 27.037 * [taylor]: Taking taylor expansion of 1/2 in b 27.037 * [backup-simplify]: Simplify 1/2 into 1/2 27.037 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 27.037 * [taylor]: Taking taylor expansion of PI in b 27.037 * [backup-simplify]: Simplify PI into PI 27.037 * [taylor]: Taking taylor expansion of (pow b 2) in b 27.037 * [taylor]: Taking taylor expansion of b in b 27.037 * [backup-simplify]: Simplify 0 into 0 27.037 * [backup-simplify]: Simplify 1 into 1 27.037 * [backup-simplify]: Simplify (* 1 1) into 1 27.037 * [backup-simplify]: Simplify (/ PI 1) into PI 27.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 27.039 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 27.039 * [backup-simplify]: Simplify 0 into 0 27.039 * [backup-simplify]: Simplify (+ 1 0) into 1 27.039 * [backup-simplify]: Simplify (+ (* b 1) (* 0 b)) into b 27.039 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ b (pow b 2))))) into (- (/ PI (pow b 3))) 27.040 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 27.040 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 27.040 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 27.040 * [taylor]: Taking taylor expansion of 1/2 in b 27.040 * [backup-simplify]: Simplify 1/2 into 1/2 27.040 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 27.040 * [taylor]: Taking taylor expansion of PI in b 27.040 * [backup-simplify]: Simplify PI into PI 27.040 * [taylor]: Taking taylor expansion of (pow b 3) in b 27.040 * [taylor]: Taking taylor expansion of b in b 27.040 * [backup-simplify]: Simplify 0 into 0 27.040 * [backup-simplify]: Simplify 1 into 1 27.040 * [backup-simplify]: Simplify (* 1 1) into 1 27.040 * [backup-simplify]: Simplify (* 1 1) into 1 27.041 * [backup-simplify]: Simplify (/ PI 1) into PI 27.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 27.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 27.045 * [backup-simplify]: Simplify (- 0) into 0 27.045 * [backup-simplify]: Simplify 0 into 0 27.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 27.047 * [backup-simplify]: Simplify 0 into 0 27.047 * [backup-simplify]: Simplify (+ 0 0) into 0 27.047 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 1) (* 0 b))) into 0 27.048 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))) (* (- (/ PI (pow b 3))) (/ b (pow b 2))))) into (/ PI (pow b 4)) 27.048 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 4))) (+ (* 0 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 27.048 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 27.048 * [taylor]: Taking taylor expansion of 1/2 in b 27.048 * [backup-simplify]: Simplify 1/2 into 1/2 27.048 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 27.048 * [taylor]: Taking taylor expansion of PI in b 27.048 * [backup-simplify]: Simplify PI into PI 27.048 * [taylor]: Taking taylor expansion of (pow b 4) in b 27.048 * [taylor]: Taking taylor expansion of b in b 27.048 * [backup-simplify]: Simplify 0 into 0 27.048 * [backup-simplify]: Simplify 1 into 1 27.048 * [backup-simplify]: Simplify (* 1 1) into 1 27.049 * [backup-simplify]: Simplify (* 1 1) into 1 27.049 * [backup-simplify]: Simplify (/ PI 1) into PI 27.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 27.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 27.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 27.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.055 * [backup-simplify]: Simplify 0 into 0 27.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.059 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.060 * [backup-simplify]: Simplify (- 0) into 0 27.060 * [backup-simplify]: Simplify 0 into 0 27.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 27.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.062 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.062 * [backup-simplify]: Simplify 0 into 0 27.062 * [backup-simplify]: Simplify 0 into 0 27.062 * [backup-simplify]: Simplify (/ (/ (* PI (/ 1 (+ (/ 1 a) (/ 1 b)))) 2) (/ 1 b)) into (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) 27.062 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 27.062 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in b 27.062 * [taylor]: Taking taylor expansion of 1/2 in b 27.062 * [backup-simplify]: Simplify 1/2 into 1/2 27.062 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in b 27.062 * [taylor]: Taking taylor expansion of (* b PI) in b 27.062 * [taylor]: Taking taylor expansion of b in b 27.062 * [backup-simplify]: Simplify 0 into 0 27.062 * [backup-simplify]: Simplify 1 into 1 27.062 * [taylor]: Taking taylor expansion of PI in b 27.062 * [backup-simplify]: Simplify PI into PI 27.062 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 27.062 * [taylor]: Taking taylor expansion of (/ 1 a) in b 27.062 * [taylor]: Taking taylor expansion of a in b 27.062 * [backup-simplify]: Simplify a into a 27.062 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 27.062 * [taylor]: Taking taylor expansion of (/ 1 b) in b 27.062 * [taylor]: Taking taylor expansion of b in b 27.062 * [backup-simplify]: Simplify 0 into 0 27.062 * [backup-simplify]: Simplify 1 into 1 27.063 * [backup-simplify]: Simplify (/ 1 1) into 1 27.063 * [backup-simplify]: Simplify (* 0 PI) into 0 27.064 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 27.064 * [backup-simplify]: Simplify (+ 0 1) into 1 27.065 * [backup-simplify]: Simplify (/ PI 1) into PI 27.065 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 27.065 * [taylor]: Taking taylor expansion of 1/2 in a 27.065 * [backup-simplify]: Simplify 1/2 into 1/2 27.065 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 27.065 * [taylor]: Taking taylor expansion of (* b PI) in a 27.065 * [taylor]: Taking taylor expansion of b in a 27.065 * [backup-simplify]: Simplify b into b 27.065 * [taylor]: Taking taylor expansion of PI in a 27.065 * [backup-simplify]: Simplify PI into PI 27.065 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 27.065 * [taylor]: Taking taylor expansion of (/ 1 a) in a 27.065 * [taylor]: Taking taylor expansion of a in a 27.065 * [backup-simplify]: Simplify 0 into 0 27.065 * [backup-simplify]: Simplify 1 into 1 27.065 * [backup-simplify]: Simplify (/ 1 1) into 1 27.065 * [taylor]: Taking taylor expansion of (/ 1 b) in a 27.065 * [taylor]: Taking taylor expansion of b in a 27.065 * [backup-simplify]: Simplify b into b 27.065 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 27.065 * [backup-simplify]: Simplify (* b PI) into (* PI b) 27.065 * [backup-simplify]: Simplify (+ 1 0) into 1 27.065 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 27.065 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 27.066 * [taylor]: Taking taylor expansion of 1/2 in a 27.066 * [backup-simplify]: Simplify 1/2 into 1/2 27.066 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 27.066 * [taylor]: Taking taylor expansion of (* b PI) in a 27.066 * [taylor]: Taking taylor expansion of b in a 27.066 * [backup-simplify]: Simplify b into b 27.066 * [taylor]: Taking taylor expansion of PI in a 27.066 * [backup-simplify]: Simplify PI into PI 27.066 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 27.066 * [taylor]: Taking taylor expansion of (/ 1 a) in a 27.066 * [taylor]: Taking taylor expansion of a in a 27.066 * [backup-simplify]: Simplify 0 into 0 27.066 * [backup-simplify]: Simplify 1 into 1 27.066 * [backup-simplify]: Simplify (/ 1 1) into 1 27.066 * [taylor]: Taking taylor expansion of (/ 1 b) in a 27.066 * [taylor]: Taking taylor expansion of b in a 27.066 * [backup-simplify]: Simplify b into b 27.066 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 27.066 * [backup-simplify]: Simplify (* b PI) into (* PI b) 27.066 * [backup-simplify]: Simplify (+ 1 0) into 1 27.066 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 27.066 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 27.066 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 27.066 * [taylor]: Taking taylor expansion of 1/2 in b 27.067 * [backup-simplify]: Simplify 1/2 into 1/2 27.067 * [taylor]: Taking taylor expansion of (* PI b) in b 27.067 * [taylor]: Taking taylor expansion of PI in b 27.067 * [backup-simplify]: Simplify PI into PI 27.067 * [taylor]: Taking taylor expansion of b in b 27.067 * [backup-simplify]: Simplify 0 into 0 27.067 * [backup-simplify]: Simplify 1 into 1 27.067 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 27.068 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 27.068 * [backup-simplify]: Simplify (* PI 0) into 0 27.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 27.069 * [backup-simplify]: Simplify 0 into 0 27.069 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 27.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.070 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 27.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 27.071 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 27.071 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 27.071 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 27.071 * [taylor]: Taking taylor expansion of 1/2 in b 27.071 * [backup-simplify]: Simplify 1/2 into 1/2 27.071 * [taylor]: Taking taylor expansion of PI in b 27.071 * [backup-simplify]: Simplify PI into PI 27.072 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 27.072 * [backup-simplify]: Simplify (- 0) into 0 27.072 * [backup-simplify]: Simplify 0 into 0 27.073 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 27.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 27.073 * [backup-simplify]: Simplify 0 into 0 27.074 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 27.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 27.075 * [backup-simplify]: Simplify (+ 0 0) into 0 27.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 27.076 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 27.076 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 27.076 * [taylor]: Taking taylor expansion of 1/2 in b 27.076 * [backup-simplify]: Simplify 1/2 into 1/2 27.076 * [taylor]: Taking taylor expansion of (/ PI b) in b 27.076 * [taylor]: Taking taylor expansion of PI in b 27.076 * [backup-simplify]: Simplify PI into PI 27.076 * [taylor]: Taking taylor expansion of b in b 27.076 * [backup-simplify]: Simplify 0 into 0 27.076 * [backup-simplify]: Simplify 1 into 1 27.077 * [backup-simplify]: Simplify (/ PI 1) into PI 27.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 27.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.079 * [backup-simplify]: Simplify 0 into 0 27.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.080 * [backup-simplify]: Simplify (- 0) into 0 27.080 * [backup-simplify]: Simplify 0 into 0 27.081 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 27.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 27.082 * [backup-simplify]: Simplify 0 into 0 27.082 * [backup-simplify]: Simplify 0 into 0 27.082 * [backup-simplify]: Simplify (/ (/ (* PI (/ 1 (+ (/ 1 (- a)) (/ 1 (- b))))) 2) (/ 1 (- b))) into (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) 27.082 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 27.082 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in b 27.082 * [taylor]: Taking taylor expansion of 1/2 in b 27.082 * [backup-simplify]: Simplify 1/2 into 1/2 27.082 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in b 27.082 * [taylor]: Taking taylor expansion of (* b PI) in b 27.082 * [taylor]: Taking taylor expansion of b in b 27.082 * [backup-simplify]: Simplify 0 into 0 27.082 * [backup-simplify]: Simplify 1 into 1 27.082 * [taylor]: Taking taylor expansion of PI in b 27.082 * [backup-simplify]: Simplify PI into PI 27.082 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 27.082 * [taylor]: Taking taylor expansion of (/ 1 a) in b 27.082 * [taylor]: Taking taylor expansion of a in b 27.082 * [backup-simplify]: Simplify a into a 27.082 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 27.082 * [taylor]: Taking taylor expansion of (/ 1 b) in b 27.082 * [taylor]: Taking taylor expansion of b in b 27.082 * [backup-simplify]: Simplify 0 into 0 27.082 * [backup-simplify]: Simplify 1 into 1 27.083 * [backup-simplify]: Simplify (/ 1 1) into 1 27.083 * [backup-simplify]: Simplify (* 0 PI) into 0 27.084 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 27.084 * [backup-simplify]: Simplify (+ 0 1) into 1 27.084 * [backup-simplify]: Simplify (/ PI 1) into PI 27.084 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 27.084 * [taylor]: Taking taylor expansion of 1/2 in a 27.085 * [backup-simplify]: Simplify 1/2 into 1/2 27.085 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 27.085 * [taylor]: Taking taylor expansion of (* b PI) in a 27.085 * [taylor]: Taking taylor expansion of b in a 27.085 * [backup-simplify]: Simplify b into b 27.085 * [taylor]: Taking taylor expansion of PI in a 27.085 * [backup-simplify]: Simplify PI into PI 27.085 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 27.085 * [taylor]: Taking taylor expansion of (/ 1 a) in a 27.085 * [taylor]: Taking taylor expansion of a in a 27.085 * [backup-simplify]: Simplify 0 into 0 27.085 * [backup-simplify]: Simplify 1 into 1 27.085 * [backup-simplify]: Simplify (/ 1 1) into 1 27.085 * [taylor]: Taking taylor expansion of (/ 1 b) in a 27.085 * [taylor]: Taking taylor expansion of b in a 27.085 * [backup-simplify]: Simplify b into b 27.085 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 27.085 * [backup-simplify]: Simplify (* b PI) into (* PI b) 27.085 * [backup-simplify]: Simplify (+ 1 0) into 1 27.085 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 27.085 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 27.085 * [taylor]: Taking taylor expansion of 1/2 in a 27.085 * [backup-simplify]: Simplify 1/2 into 1/2 27.085 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 27.085 * [taylor]: Taking taylor expansion of (* b PI) in a 27.085 * [taylor]: Taking taylor expansion of b in a 27.085 * [backup-simplify]: Simplify b into b 27.085 * [taylor]: Taking taylor expansion of PI in a 27.085 * [backup-simplify]: Simplify PI into PI 27.085 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 27.086 * [taylor]: Taking taylor expansion of (/ 1 a) in a 27.086 * [taylor]: Taking taylor expansion of a in a 27.086 * [backup-simplify]: Simplify 0 into 0 27.086 * [backup-simplify]: Simplify 1 into 1 27.086 * [backup-simplify]: Simplify (/ 1 1) into 1 27.086 * [taylor]: Taking taylor expansion of (/ 1 b) in a 27.086 * [taylor]: Taking taylor expansion of b in a 27.086 * [backup-simplify]: Simplify b into b 27.086 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 27.086 * [backup-simplify]: Simplify (* b PI) into (* PI b) 27.086 * [backup-simplify]: Simplify (+ 1 0) into 1 27.086 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 27.086 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 27.086 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 27.086 * [taylor]: Taking taylor expansion of 1/2 in b 27.086 * [backup-simplify]: Simplify 1/2 into 1/2 27.086 * [taylor]: Taking taylor expansion of (* PI b) in b 27.086 * [taylor]: Taking taylor expansion of PI in b 27.086 * [backup-simplify]: Simplify PI into PI 27.086 * [taylor]: Taking taylor expansion of b in b 27.086 * [backup-simplify]: Simplify 0 into 0 27.086 * [backup-simplify]: Simplify 1 into 1 27.087 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 27.088 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 27.088 * [backup-simplify]: Simplify (* PI 0) into 0 27.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 27.089 * [backup-simplify]: Simplify 0 into 0 27.089 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 27.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 27.090 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 27.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 27.091 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 27.091 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 27.091 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 27.091 * [taylor]: Taking taylor expansion of 1/2 in b 27.091 * [backup-simplify]: Simplify 1/2 into 1/2 27.091 * [taylor]: Taking taylor expansion of PI in b 27.091 * [backup-simplify]: Simplify PI into PI 27.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 27.093 * [backup-simplify]: Simplify (- 0) into 0 27.093 * [backup-simplify]: Simplify 0 into 0 27.094 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 27.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 27.095 * [backup-simplify]: Simplify 0 into 0 27.096 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 27.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 27.097 * [backup-simplify]: Simplify (+ 0 0) into 0 27.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 27.100 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 27.100 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 27.100 * [taylor]: Taking taylor expansion of 1/2 in b 27.100 * [backup-simplify]: Simplify 1/2 into 1/2 27.100 * [taylor]: Taking taylor expansion of (/ PI b) in b 27.100 * [taylor]: Taking taylor expansion of PI in b 27.100 * [backup-simplify]: Simplify PI into PI 27.100 * [taylor]: Taking taylor expansion of b in b 27.100 * [backup-simplify]: Simplify 0 into 0 27.100 * [backup-simplify]: Simplify 1 into 1 27.100 * [backup-simplify]: Simplify (/ PI 1) into PI 27.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 27.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 27.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.105 * [backup-simplify]: Simplify 0 into 0 27.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 27.107 * [backup-simplify]: Simplify (- 0) into 0 27.107 * [backup-simplify]: Simplify 0 into 0 27.107 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 27.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 27.108 * [backup-simplify]: Simplify 0 into 0 27.108 * [backup-simplify]: Simplify 0 into 0 27.108 * * * [progress]: simplifying candidates 27.108 * * * * [progress]: [ 1 / 394 ] simplifiying candidate # 27.108 * * * * [progress]: [ 2 / 394 ] simplifiying candidate # 27.108 * * * * [progress]: [ 3 / 394 ] simplifiying candidate # 27.109 * * * * [progress]: [ 4 / 394 ] simplifiying candidate # 27.109 * * * * [progress]: [ 5 / 394 ] simplifiying candidate # 27.109 * * * * [progress]: [ 6 / 394 ] simplifiying candidate # 27.109 * * * * [progress]: [ 7 / 394 ] simplifiying candidate # 27.109 * * * * [progress]: [ 8 / 394 ] simplifiying candidate # 27.109 * * * * [progress]: [ 9 / 394 ] simplifiying candidate # 27.109 * * * * [progress]: [ 10 / 394 ] simplifiying candidate # 27.109 * * * * [progress]: [ 11 / 394 ] simplifiying candidate # 27.109 * * * * [progress]: [ 12 / 394 ] simplifiying candidate # 27.109 * * * * [progress]: [ 13 / 394 ] simplifiying candidate # 27.109 * * * * [progress]: [ 14 / 394 ] simplifiying candidate # 27.109 * * * * [progress]: [ 15 / 394 ] simplifiying candidate # 27.109 * * * * [progress]: [ 16 / 394 ] simplifiying candidate # 27.109 * * * * [progress]: [ 17 / 394 ] simplifiying candidate # 27.109 * * * * [progress]: [ 18 / 394 ] simplifiying candidate # 27.109 * * * * [progress]: [ 19 / 394 ] simplifiying candidate # 27.110 * * * * [progress]: [ 20 / 394 ] simplifiying candidate # 27.110 * * * * [progress]: [ 21 / 394 ] simplifiying candidate # 27.110 * * * * [progress]: [ 22 / 394 ] simplifiying candidate # 27.110 * * * * [progress]: [ 23 / 394 ] simplifiying candidate # 27.110 * * * * [progress]: [ 24 / 394 ] simplifiying candidate # 27.110 * * * * [progress]: [ 25 / 394 ] simplifiying candidate # 27.110 * * * * [progress]: [ 26 / 394 ] simplifiying candidate # 27.110 * * * * [progress]: [ 27 / 394 ] simplifiying candidate # 27.110 * * * * [progress]: [ 28 / 394 ] simplifiying candidate # 27.110 * * * * [progress]: [ 29 / 394 ] simplifiying candidate # 27.110 * * * * [progress]: [ 30 / 394 ] simplifiying candidate # 27.110 * * * * [progress]: [ 31 / 394 ] simplifiying candidate # 27.110 * * * * [progress]: [ 32 / 394 ] simplifiying candidate # 27.111 * * * * [progress]: [ 33 / 394 ] simplifiying candidate # 27.111 * * * * [progress]: [ 34 / 394 ] simplifiying candidate # 27.111 * * * * [progress]: [ 35 / 394 ] simplifiying candidate # 27.111 * * * * [progress]: [ 36 / 394 ] simplifiying candidate # 27.111 * * * * [progress]: [ 37 / 394 ] simplifiying candidate # 27.111 * * * * [progress]: [ 38 / 394 ] simplifiying candidate # 27.111 * * * * [progress]: [ 39 / 394 ] simplifiying candidate # 27.111 * * * * [progress]: [ 40 / 394 ] simplifiying candidate # 27.111 * * * * [progress]: [ 41 / 394 ] simplifiying candidate #real (real->posit16 (* PI (/ 1 (+ a b))))) 2) b))) (- b a)))> 27.111 * * * * [progress]: [ 42 / 394 ] simplifiying candidate # 27.112 * * * * [progress]: [ 43 / 394 ] simplifiying candidate # 27.112 * * * * [progress]: [ 44 / 394 ] simplifiying candidate # 27.112 * * * * [progress]: [ 45 / 394 ] simplifiying candidate # 27.112 * * * * [progress]: [ 46 / 394 ] simplifiying candidate # 27.112 * * * * [progress]: [ 47 / 394 ] simplifiying candidate # 27.112 * * * * [progress]: [ 48 / 394 ] simplifiying candidate # 27.112 * * * * [progress]: [ 49 / 394 ] simplifiying candidate # 27.112 * * * * [progress]: [ 50 / 394 ] simplifiying candidate # 27.112 * * * * [progress]: [ 51 / 394 ] simplifiying candidate # 27.112 * * * * [progress]: [ 52 / 394 ] simplifiying candidate # 27.112 * * * * [progress]: [ 53 / 394 ] simplifiying candidate # 27.112 * * * * [progress]: [ 54 / 394 ] simplifiying candidate # 27.113 * * * * [progress]: [ 55 / 394 ] simplifiying candidate # 27.113 * * * * [progress]: [ 56 / 394 ] simplifiying candidate # 27.113 * * * * [progress]: [ 57 / 394 ] simplifiying candidate # 27.113 * * * * [progress]: [ 58 / 394 ] simplifiying candidate # 27.113 * * * * [progress]: [ 59 / 394 ] simplifiying candidate # 27.113 * * * * [progress]: [ 60 / 394 ] simplifiying candidate # 27.113 * * * * [progress]: [ 61 / 394 ] simplifiying candidate # 27.114 * * * * [progress]: [ 62 / 394 ] simplifiying candidate # 27.114 * * * * [progress]: [ 63 / 394 ] simplifiying candidate # 27.114 * * * * [progress]: [ 64 / 394 ] simplifiying candidate # 27.114 * * * * [progress]: [ 65 / 394 ] simplifiying candidate # 27.114 * * * * [progress]: [ 66 / 394 ] simplifiying candidate # 27.114 * * * * [progress]: [ 67 / 394 ] simplifiying candidate # 27.114 * * * * [progress]: [ 68 / 394 ] simplifiying candidate # 27.114 * * * * [progress]: [ 69 / 394 ] simplifiying candidate # 27.114 * * * * [progress]: [ 70 / 394 ] simplifiying candidate # 27.114 * * * * [progress]: [ 71 / 394 ] simplifiying candidate # 27.114 * * * * [progress]: [ 72 / 394 ] simplifiying candidate # 27.114 * * * * [progress]: [ 73 / 394 ] simplifiying candidate # 27.114 * * * * [progress]: [ 74 / 394 ] simplifiying candidate # 27.115 * * * * [progress]: [ 75 / 394 ] simplifiying candidate # 27.115 * * * * [progress]: [ 76 / 394 ] simplifiying candidate #real (real->posit16 (/ PI (+ a b)))) 2) a) (- (/ (/ (* PI (/ 1 (+ a b))) 2) b))) (- b a)))> 27.115 * * * * [progress]: [ 77 / 394 ] simplifiying candidate # 27.115 * * * * [progress]: [ 78 / 394 ] simplifiying candidate # 27.115 * * * * [progress]: [ 79 / 394 ] simplifiying candidate # 27.115 * * * * [progress]: [ 80 / 394 ] simplifiying candidate # 27.115 * * * * [progress]: [ 81 / 394 ] simplifiying candidate # 27.115 * * * * [progress]: [ 82 / 394 ] simplifiying candidate # 27.115 * * * * [progress]: [ 83 / 394 ] simplifiying candidate # 27.115 * * * * [progress]: [ 84 / 394 ] simplifiying candidate # 27.115 * * * * [progress]: [ 85 / 394 ] simplifiying candidate # 27.115 * * * * [progress]: [ 86 / 394 ] simplifiying candidate # 27.115 * * * * [progress]: [ 87 / 394 ] simplifiying candidate # 27.115 * * * * [progress]: [ 88 / 394 ] simplifiying candidate # 27.116 * * * * [progress]: [ 89 / 394 ] simplifiying candidate # 27.116 * * * * [progress]: [ 90 / 394 ] simplifiying candidate # 27.116 * * * * [progress]: [ 91 / 394 ] simplifiying candidate # 27.116 * * * * [progress]: [ 92 / 394 ] simplifiying candidate # 27.116 * * * * [progress]: [ 93 / 394 ] simplifiying candidate # 27.116 * * * * [progress]: [ 94 / 394 ] simplifiying candidate # 27.116 * * * * [progress]: [ 95 / 394 ] simplifiying candidate # 27.116 * * * * [progress]: [ 96 / 394 ] simplifiying candidate # 27.116 * * * * [progress]: [ 97 / 394 ] simplifiying candidate # 27.116 * * * * [progress]: [ 98 / 394 ] simplifiying candidate # 27.116 * * * * [progress]: [ 99 / 394 ] simplifiying candidate # 27.116 * * * * [progress]: [ 100 / 394 ] simplifiying candidate # 27.116 * * * * [progress]: [ 101 / 394 ] simplifiying candidate # 27.117 * * * * [progress]: [ 102 / 394 ] simplifiying candidate # 27.117 * * * * [progress]: [ 103 / 394 ] simplifiying candidate # 27.117 * * * * [progress]: [ 104 / 394 ] simplifiying candidate # 27.117 * * * * [progress]: [ 105 / 394 ] simplifiying candidate # 27.117 * * * * [progress]: [ 106 / 394 ] simplifiying candidate # 27.117 * * * * [progress]: [ 107 / 394 ] simplifiying candidate # 27.117 * * * * [progress]: [ 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b)))) (* (sqrt PI) (/ 1 (sqrt (+ a b)))) (* (sqrt PI) (/ 1 (sqrt (+ a b)))) (* PI (* (cbrt (/ 1 (+ a b))) (cbrt (/ 1 (+ a b))))) (* PI (sqrt (/ 1 (+ a b)))) (* PI (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ a b)) (cbrt (+ a b))))) (* PI (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ a b)))) (* PI (/ (* (cbrt 1) (cbrt 1)) 1)) (* PI (/ (* (cbrt 1) (cbrt 1)) 1)) (* PI (/ (sqrt 1) (* (cbrt (+ a b)) (cbrt (+ a b))))) (* PI (/ (sqrt 1) (sqrt (+ a b)))) (* PI (/ (sqrt 1) 1)) (* PI (/ (sqrt 1) 1)) (* PI (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b))))) (* PI (/ 1 (sqrt (+ a b)))) (* PI (/ 1 1)) (* PI (/ 1 1)) (* PI 1) (* PI 1) (* PI (/ 1 (+ (pow a 3) (pow b 3)))) (* PI (/ 1 (- (* a a) (* b b)))) (* (cbrt PI) (/ 1 (+ a b))) (* (sqrt PI) (/ 1 (+ a b))) (* PI (/ 1 (+ a b))) (* PI 1) (real->posit16 (* PI (/ 1 (+ a b)))) (- (log PI) (log (+ a b))) (log (/ PI (+ a b))) (exp (/ PI (+ a b))) (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (cbrt (/ PI (+ a b))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (- PI) (- (+ a b)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt PI) (cbrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) (/ (cbrt PI) (sqrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (sqrt PI) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt PI) (cbrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ PI (sqrt (+ a b))) (/ 1 1) (/ PI (+ a b)) (/ 1 1) (/ PI (+ a b)) (/ 1 (+ a b)) (/ (+ a b) PI) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (sqrt (+ a b))) (/ PI 1) (/ PI 1) (/ (+ a b) (cbrt PI)) (/ (+ a b) (sqrt PI)) (/ (+ a b) PI) (/ PI (+ (pow a 3) (pow b 3))) (/ PI (- (* a a) (* b b))) (real->posit16 (/ PI (+ a b))) (- (- (- (log PI) (log (+ a b))) (log 2)) (log a)) (- (- (log (/ PI (+ a b))) (log 2)) (log a)) (- (log (/ (/ PI (+ a b)) 2)) (log a)) (log (/ (/ (/ PI (+ a b)) 2) a)) (exp (/ (/ (/ PI (+ a b)) 2) a)) (/ (/ (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (* 2 2) 2)) (* (* a a) a)) (/ (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* 2 2) 2)) (* (* a a) a)) (/ (* (* (/ (/ PI (+ a b)) 2) (/ (/ PI (+ a b)) 2)) (/ (/ PI (+ a b)) 2)) (* (* a a) a)) (* (cbrt (/ (/ (/ PI (+ a b)) 2) a)) (cbrt (/ (/ (/ PI (+ a b)) 2) a))) (cbrt (/ (/ (/ PI (+ a b)) 2) a)) (* (* (/ (/ (/ PI (+ a b)) 2) a) (/ (/ (/ PI (+ a b)) 2) a)) (/ (/ (/ PI (+ a b)) 2) a)) (sqrt (/ (/ (/ PI (+ a b)) 2) a)) (sqrt (/ (/ (/ PI (+ a b)) 2) a)) (- (/ (/ PI (+ a b)) 2)) (- a) (/ (* (cbrt (/ (/ PI (+ a b)) 2)) (cbrt (/ (/ PI (+ a b)) 2))) (* (cbrt a) (cbrt a))) (/ (cbrt (/ (/ PI (+ a b)) 2)) (cbrt a)) (/ (* (cbrt (/ (/ PI (+ a b)) 2)) (cbrt (/ (/ PI (+ a b)) 2))) (sqrt a)) (/ (cbrt (/ (/ PI (+ a b)) 2)) (sqrt a)) (/ (* (cbrt 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(* b (cbrt 2)) (/ 1 (+ a b))) (/ (* b (sqrt 2)) (/ 1 (+ a b))) (/ b (/ 1/2 (+ a b))) (/ (* b 2) (/ PI (+ a b))) (/ b 1/2) (/ b 1/2) (real->posit16 (/ (/ (/ PI (+ a b)) 2) b)) 0 0 0 0 0 0 0 0 0 0 0 0 29.690 * * * [progress]: adding candidates to table 31.824 * [progress]: [Phase 3 of 3] Extracting. 31.825 * * [regime]: Finding splitpoints for: (# # # # # #) 31.829 * * * [regime-changes]: Trying 3 branch expressions: ((* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) b a) 31.830 * * * * [regimes]: Trying to branch on (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) from (# # # # # #) 31.911 * * * * [regimes]: Trying to branch on b from (# # # # # #) 31.988 * * * * [regimes]: Trying to branch on a from (# # # # # #) 32.037 * * * [regime]: Found split indices: #