17.594 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.082 * * * [progress]: [2/2] Setting up program. 0.087 * [progress]: [Phase 2 of 3] Improving. 0.087 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.088 * [simplify]: Simplifying: (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) 0.088 * * [simplify]: iteration 1: (15 enodes) 0.094 * * [simplify]: iteration 2: (32 enodes) 0.103 * * [simplify]: iteration 3: (94 enodes) 0.151 * * [simplify]: iteration 4: (359 enodes) 0.396 * * [simplify]: iteration 5: (1387 enodes) 2.216 * * [simplify]: Extracting #0: cost 1 inf + 0 2.217 * * [simplify]: Extracting #1: cost 159 inf + 0 2.219 * * [simplify]: Extracting #2: cost 736 inf + 88 2.224 * * [simplify]: Extracting #3: cost 934 inf + 13822 2.273 * * [simplify]: Extracting #4: cost 225 inf + 135864 2.336 * * [simplify]: Extracting #5: cost 7 inf + 186573 2.404 * * [simplify]: Extracting #6: cost 0 inf + 188685 2.456 * [simplify]: Simplified to: (/ (/ (+ (/ PI a) (- (/ PI b))) (+ a b)) (* (- b a) 2)) 2.468 * * [progress]: iteration 1 / 4 2.468 * * * [progress]: picking best candidate 2.478 * * * * [pick]: Picked # 2.478 * * * [progress]: localizing error 2.504 * * * [progress]: generating rewritten candidates 2.504 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 1) 2.508 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 2.511 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.574 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.678 * * * [progress]: generating series expansions 2.678 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 1) 2.679 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.679 * [approximate]: Taking taylor expansion of (/ PI b) in (b) around 0 2.679 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.679 * [taylor]: Taking taylor expansion of PI in b 2.679 * [backup-simplify]: Simplify PI into PI 2.679 * [taylor]: Taking taylor expansion of b in b 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 1 into 1 2.680 * [backup-simplify]: Simplify (/ PI 1) into PI 2.680 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.680 * [taylor]: Taking taylor expansion of PI in b 2.680 * [backup-simplify]: Simplify PI into PI 2.680 * [taylor]: Taking taylor expansion of b in b 2.680 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify 1 into 1 2.680 * [backup-simplify]: Simplify (/ PI 1) into PI 2.681 * [backup-simplify]: Simplify PI into PI 2.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.682 * [backup-simplify]: Simplify 0 into 0 2.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.683 * [backup-simplify]: Simplify 0 into 0 2.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.684 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.685 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.686 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify (* PI (/ 1 b)) into (/ PI b) 2.687 * [backup-simplify]: Simplify (/ PI (/ 1 b)) into (* b PI) 2.688 * [approximate]: Taking taylor expansion of (* b PI) in (b) around 0 2.688 * [taylor]: Taking taylor expansion of (* b PI) in b 2.688 * [taylor]: Taking taylor expansion of b in b 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 1 into 1 2.688 * [taylor]: Taking taylor expansion of PI in b 2.688 * [backup-simplify]: Simplify PI into PI 2.688 * [taylor]: Taking taylor expansion of (* b PI) in b 2.688 * [taylor]: Taking taylor expansion of b in b 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 1 into 1 2.688 * [taylor]: Taking taylor expansion of PI in b 2.688 * [backup-simplify]: Simplify PI into PI 2.689 * [backup-simplify]: Simplify (* 0 PI) into 0 2.689 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.690 * [backup-simplify]: Simplify PI into PI 2.691 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.691 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.692 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.694 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.695 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.696 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.697 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify (* PI (/ 1 b)) into (/ PI b) 2.697 * [backup-simplify]: Simplify (/ PI (/ 1 (- b))) into (* -1 (* b PI)) 2.697 * [approximate]: Taking taylor expansion of (* -1 (* b PI)) in (b) around 0 2.697 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 2.697 * [taylor]: Taking taylor expansion of -1 in b 2.697 * [backup-simplify]: Simplify -1 into -1 2.697 * [taylor]: Taking taylor expansion of (* b PI) in b 2.697 * [taylor]: Taking taylor expansion of b in b 2.697 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify 1 into 1 2.698 * [taylor]: Taking taylor expansion of PI in b 2.698 * [backup-simplify]: Simplify PI into PI 2.698 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 2.698 * [taylor]: Taking taylor expansion of -1 in b 2.698 * [backup-simplify]: Simplify -1 into -1 2.698 * [taylor]: Taking taylor expansion of (* b PI) in b 2.698 * [taylor]: Taking taylor expansion of b in b 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify 1 into 1 2.698 * [taylor]: Taking taylor expansion of PI in b 2.698 * [backup-simplify]: Simplify PI into PI 2.698 * [backup-simplify]: Simplify (* 0 PI) into 0 2.698 * [backup-simplify]: Simplify (* -1 0) into 0 2.698 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.700 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 2.700 * [backup-simplify]: Simplify (- PI) into (- PI) 2.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.701 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 2.701 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.703 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.703 * [backup-simplify]: Simplify 0 into 0 2.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.704 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.704 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.706 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.706 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.708 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.708 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.710 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify (* (- PI) (/ 1 (- b))) into (/ PI b) 2.710 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 2.710 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.710 * [approximate]: Taking taylor expansion of (/ PI a) in (a) around 0 2.710 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.710 * [taylor]: Taking taylor expansion of PI in a 2.710 * [backup-simplify]: Simplify PI into PI 2.710 * [taylor]: Taking taylor expansion of a in a 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify (/ PI 1) into PI 2.711 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.711 * [taylor]: Taking taylor expansion of PI in a 2.711 * [backup-simplify]: Simplify PI into PI 2.711 * [taylor]: Taking taylor expansion of a in a 2.711 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify (/ PI 1) into PI 2.711 * [backup-simplify]: Simplify PI into PI 2.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.712 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.713 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify (* PI (/ 1 a)) into (/ PI a) 2.715 * [backup-simplify]: Simplify (/ PI (/ 1 a)) into (* a PI) 2.715 * [approximate]: Taking taylor expansion of (* a PI) in (a) around 0 2.715 * [taylor]: Taking taylor expansion of (* a PI) in a 2.715 * [taylor]: Taking taylor expansion of a in a 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 1 into 1 2.715 * [taylor]: Taking taylor expansion of PI in a 2.715 * [backup-simplify]: Simplify PI into PI 2.715 * [taylor]: Taking taylor expansion of (* a PI) in a 2.715 * [taylor]: Taking taylor expansion of a in a 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 1 into 1 2.715 * [taylor]: Taking taylor expansion of PI in a 2.715 * [backup-simplify]: Simplify PI into PI 2.716 * [backup-simplify]: Simplify (* 0 PI) into 0 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.717 * [backup-simplify]: Simplify PI into PI 2.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.717 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.718 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.719 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.720 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.721 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify (* PI (/ 1 a)) into (/ PI a) 2.722 * [backup-simplify]: Simplify (/ PI (/ 1 (- a))) into (* -1 (* a PI)) 2.722 * [approximate]: Taking taylor expansion of (* -1 (* a PI)) in (a) around 0 2.722 * [taylor]: Taking taylor expansion of (* -1 (* a PI)) in a 2.722 * [taylor]: Taking taylor expansion of -1 in a 2.722 * [backup-simplify]: Simplify -1 into -1 2.722 * [taylor]: Taking taylor expansion of (* a PI) in a 2.722 * [taylor]: Taking taylor expansion of a in a 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify 1 into 1 2.722 * [taylor]: Taking taylor expansion of PI in a 2.722 * [backup-simplify]: Simplify PI into PI 2.722 * [taylor]: Taking taylor expansion of (* -1 (* a PI)) in a 2.722 * [taylor]: Taking taylor expansion of -1 in a 2.722 * [backup-simplify]: Simplify -1 into -1 2.722 * [taylor]: Taking taylor expansion of (* a PI) in a 2.722 * [taylor]: Taking taylor expansion of a in a 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify 1 into 1 2.722 * [taylor]: Taking taylor expansion of PI in a 2.722 * [backup-simplify]: Simplify PI into PI 2.726 * [backup-simplify]: Simplify (* 0 PI) into 0 2.727 * [backup-simplify]: Simplify (* -1 0) into 0 2.727 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.730 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 2.731 * [backup-simplify]: Simplify (- PI) into (- PI) 2.732 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.733 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 2.733 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.735 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.735 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.738 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.738 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.741 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.741 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.744 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.744 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.746 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify (* (- PI) (/ 1 (- a))) into (/ PI a) 2.746 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.747 * [backup-simplify]: Simplify (/ (+ (/ PI a) (- (/ PI b))) (+ a b)) into (/ (- (/ PI a) (/ PI b)) (+ a b)) 2.747 * [approximate]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ a b)) in (a b) around 0 2.747 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ a b)) in b 2.747 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b 2.747 * [taylor]: Taking taylor expansion of (/ PI a) in b 2.747 * [taylor]: Taking taylor expansion of PI in b 2.747 * [backup-simplify]: Simplify PI into PI 2.747 * [taylor]: Taking taylor expansion of a in b 2.747 * [backup-simplify]: Simplify a into a 2.747 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.747 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.747 * [taylor]: Taking taylor expansion of PI in b 2.747 * [backup-simplify]: Simplify PI into PI 2.747 * [taylor]: Taking taylor expansion of b in b 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 1 into 1 2.747 * [backup-simplify]: Simplify (/ PI 1) into PI 2.747 * [taylor]: Taking taylor expansion of (+ a b) in b 2.747 * [taylor]: Taking taylor expansion of a in b 2.747 * [backup-simplify]: Simplify a into a 2.747 * [taylor]: Taking taylor expansion of b in b 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 1 into 1 2.748 * [backup-simplify]: Simplify (- PI) into (- PI) 2.748 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 2.748 * [backup-simplify]: Simplify (+ a 0) into a 2.749 * [backup-simplify]: Simplify (/ (- PI) a) into (* -1 (/ PI a)) 2.749 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ a b)) in a 2.749 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 2.749 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.749 * [taylor]: Taking taylor expansion of PI in a 2.749 * [backup-simplify]: Simplify PI into PI 2.749 * [taylor]: Taking taylor expansion of a in a 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify 1 into 1 2.749 * [backup-simplify]: Simplify (/ PI 1) into PI 2.749 * [taylor]: Taking taylor expansion of (/ PI b) in a 2.749 * [taylor]: Taking taylor expansion of PI in a 2.749 * [backup-simplify]: Simplify PI into PI 2.749 * [taylor]: Taking taylor expansion of b in a 2.749 * [backup-simplify]: Simplify b into b 2.749 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.749 * [taylor]: Taking taylor expansion of (+ a b) in a 2.749 * [taylor]: Taking taylor expansion of a in a 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify 1 into 1 2.749 * [taylor]: Taking taylor expansion of b in a 2.749 * [backup-simplify]: Simplify b into b 2.750 * [backup-simplify]: Simplify (+ PI 0) into PI 2.750 * [backup-simplify]: Simplify (+ 0 b) into b 2.750 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.750 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ a b)) in a 2.750 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 2.750 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.750 * [taylor]: Taking taylor expansion of PI in a 2.750 * [backup-simplify]: Simplify PI into PI 2.750 * [taylor]: Taking taylor expansion of a in a 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [backup-simplify]: Simplify (/ PI 1) into PI 2.750 * [taylor]: Taking taylor expansion of (/ PI b) in a 2.750 * [taylor]: Taking taylor expansion of PI in a 2.750 * [backup-simplify]: Simplify PI into PI 2.750 * [taylor]: Taking taylor expansion of b in a 2.750 * [backup-simplify]: Simplify b into b 2.750 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.750 * [taylor]: Taking taylor expansion of (+ a b) in a 2.750 * [taylor]: Taking taylor expansion of a in a 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 1 into 1 2.750 * [taylor]: Taking taylor expansion of b in a 2.750 * [backup-simplify]: Simplify b into b 2.751 * [backup-simplify]: Simplify (+ PI 0) into PI 2.751 * [backup-simplify]: Simplify (+ 0 b) into b 2.751 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.751 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.751 * [taylor]: Taking taylor expansion of PI in b 2.751 * [backup-simplify]: Simplify PI into PI 2.751 * [taylor]: Taking taylor expansion of b in b 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.751 * [backup-simplify]: Simplify (/ PI 1) into PI 2.751 * [backup-simplify]: Simplify PI into PI 2.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.752 * [backup-simplify]: Simplify (- (/ PI b)) into (- (/ PI b)) 2.752 * [backup-simplify]: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) 2.752 * [backup-simplify]: Simplify (+ 1 0) into 1 2.752 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) b) (+ (* (/ PI b) (/ 1 b)))) into (- (* 2 (/ PI (pow b 2)))) 2.752 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow b 2)))) in b 2.752 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 2.752 * [taylor]: Taking taylor expansion of 2 in b 2.752 * [backup-simplify]: Simplify 2 into 2 2.752 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.752 * [taylor]: Taking taylor expansion of PI in b 2.752 * [backup-simplify]: Simplify PI into PI 2.753 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.753 * [taylor]: Taking taylor expansion of b in b 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 1 into 1 2.753 * [backup-simplify]: Simplify (* 1 1) into 1 2.753 * [backup-simplify]: Simplify (/ PI 1) into PI 2.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.754 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 2.755 * [backup-simplify]: Simplify (- 0) into 0 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.755 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.756 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 2.756 * [backup-simplify]: Simplify (- 0) into 0 2.756 * [backup-simplify]: Simplify (+ 0 0) into 0 2.757 * [backup-simplify]: Simplify (+ 0 0) into 0 2.757 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (* 2 (/ PI (pow b 2)))) (/ 1 b)))) into (* 2 (/ PI (pow b 3))) 2.757 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 3))) in b 2.757 * [taylor]: Taking taylor expansion of 2 in b 2.757 * [backup-simplify]: Simplify 2 into 2 2.757 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.757 * [taylor]: Taking taylor expansion of PI in b 2.757 * [backup-simplify]: Simplify PI into PI 2.757 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.757 * [taylor]: Taking taylor expansion of b in b 2.757 * [backup-simplify]: Simplify 0 into 0 2.757 * [backup-simplify]: Simplify 1 into 1 2.758 * [backup-simplify]: Simplify (* 1 1) into 1 2.758 * [backup-simplify]: Simplify (* 1 1) into 1 2.758 * [backup-simplify]: Simplify (/ PI 1) into PI 2.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.762 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.763 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 2.764 * [backup-simplify]: Simplify (- 0) into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.765 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 2.765 * [backup-simplify]: Simplify (- 0) into 0 2.765 * [backup-simplify]: Simplify (+ 0 0) into 0 2.766 * [backup-simplify]: Simplify (+ 0 0) into 0 2.766 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (* 2 (/ PI (pow b 2)))) (/ 0 b)) (* (* 2 (/ PI (pow b 3))) (/ 1 b)))) into (- (* 2 (/ PI (pow b 4)))) 2.766 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow b 4)))) in b 2.766 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 4))) in b 2.766 * [taylor]: Taking taylor expansion of 2 in b 2.766 * [backup-simplify]: Simplify 2 into 2 2.766 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 2.766 * [taylor]: Taking taylor expansion of PI in b 2.766 * [backup-simplify]: Simplify PI into PI 2.766 * [taylor]: Taking taylor expansion of (pow b 4) in b 2.766 * [taylor]: Taking taylor expansion of b in b 2.766 * [backup-simplify]: Simplify 0 into 0 2.766 * [backup-simplify]: Simplify 1 into 1 2.767 * [backup-simplify]: Simplify (* 1 1) into 1 2.767 * [backup-simplify]: Simplify (* 1 1) into 1 2.767 * [backup-simplify]: Simplify (/ PI 1) into PI 2.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.773 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.773 * [backup-simplify]: Simplify (- 0) into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) 2.773 * [backup-simplify]: Simplify (/ (+ (/ PI (/ 1 a)) (- (/ PI (/ 1 b)))) (+ (/ 1 a) (/ 1 b))) into (/ (- (* a PI) (* b PI)) (+ (/ 1 a) (/ 1 b))) 2.773 * [approximate]: Taking taylor expansion of (/ (- (* a PI) (* b PI)) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 2.773 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* b PI)) (+ (/ 1 a) (/ 1 b))) in b 2.773 * [taylor]: Taking taylor expansion of (- (* a PI) (* b PI)) in b 2.773 * [taylor]: Taking taylor expansion of (* a PI) in b 2.773 * [taylor]: Taking taylor expansion of a in b 2.773 * [backup-simplify]: Simplify a into a 2.773 * [taylor]: Taking taylor expansion of PI in b 2.773 * [backup-simplify]: Simplify PI into PI 2.773 * [taylor]: Taking taylor expansion of (* b PI) in b 2.773 * [taylor]: Taking taylor expansion of b in b 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 1 into 1 2.773 * [taylor]: Taking taylor expansion of PI in b 2.773 * [backup-simplify]: Simplify PI into PI 2.773 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.773 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.773 * [taylor]: Taking taylor expansion of a in b 2.773 * [backup-simplify]: Simplify a into a 2.774 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.774 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.774 * [taylor]: Taking taylor expansion of b in b 2.774 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify 1 into 1 2.774 * [backup-simplify]: Simplify (/ 1 1) into 1 2.774 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.774 * [backup-simplify]: Simplify (* 0 PI) into 0 2.774 * [backup-simplify]: Simplify (- 0) into 0 2.775 * [backup-simplify]: Simplify (+ (* a PI) 0) into (* a PI) 2.775 * [backup-simplify]: Simplify (+ 0 1) into 1 2.775 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 2.775 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* b PI)) (+ (/ 1 a) (/ 1 b))) in a 2.775 * [taylor]: Taking taylor expansion of (- (* a PI) (* b PI)) in a 2.775 * [taylor]: Taking taylor expansion of (* a PI) in a 2.775 * [taylor]: Taking taylor expansion of a in a 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 1 into 1 2.775 * [taylor]: Taking taylor expansion of PI in a 2.775 * [backup-simplify]: Simplify PI into PI 2.775 * [taylor]: Taking taylor expansion of (* b PI) in a 2.775 * [taylor]: Taking taylor expansion of b in a 2.775 * [backup-simplify]: Simplify b into b 2.775 * [taylor]: Taking taylor expansion of PI in a 2.775 * [backup-simplify]: Simplify PI into PI 2.775 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.775 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.775 * [taylor]: Taking taylor expansion of a in a 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 1 into 1 2.775 * [backup-simplify]: Simplify (/ 1 1) into 1 2.775 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.775 * [taylor]: Taking taylor expansion of b in a 2.775 * [backup-simplify]: Simplify b into b 2.776 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.776 * [backup-simplify]: Simplify (* 0 PI) into 0 2.776 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.776 * [backup-simplify]: Simplify (- (* PI b)) into (- (* PI b)) 2.776 * [backup-simplify]: Simplify (+ 0 (- (* PI b))) into (- (* b PI)) 2.776 * [backup-simplify]: Simplify (+ 1 0) into 1 2.776 * [backup-simplify]: Simplify (/ (- (* b PI)) 1) into (* -1 (* PI b)) 2.776 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* b PI)) (+ (/ 1 a) (/ 1 b))) in a 2.776 * [taylor]: Taking taylor expansion of (- (* a PI) (* b PI)) in a 2.776 * [taylor]: Taking taylor expansion of (* a PI) in a 2.776 * [taylor]: Taking taylor expansion of a in a 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify 1 into 1 2.776 * [taylor]: Taking taylor expansion of PI in a 2.776 * [backup-simplify]: Simplify PI into PI 2.776 * [taylor]: Taking taylor expansion of (* b PI) in a 2.777 * [taylor]: Taking taylor expansion of b in a 2.777 * [backup-simplify]: Simplify b into b 2.777 * [taylor]: Taking taylor expansion of PI in a 2.777 * [backup-simplify]: Simplify PI into PI 2.777 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.777 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.777 * [taylor]: Taking taylor expansion of a in a 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify 1 into 1 2.777 * [backup-simplify]: Simplify (/ 1 1) into 1 2.777 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.777 * [taylor]: Taking taylor expansion of b in a 2.777 * [backup-simplify]: Simplify b into b 2.777 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.777 * [backup-simplify]: Simplify (* 0 PI) into 0 2.777 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.777 * [backup-simplify]: Simplify (- (* PI b)) into (- (* PI b)) 2.777 * [backup-simplify]: Simplify (+ 0 (- (* PI b))) into (- (* b PI)) 2.778 * [backup-simplify]: Simplify (+ 1 0) into 1 2.778 * [backup-simplify]: Simplify (/ (- (* b PI)) 1) into (* -1 (* PI b)) 2.778 * [taylor]: Taking taylor expansion of (* -1 (* PI b)) in b 2.778 * [taylor]: Taking taylor expansion of -1 in b 2.778 * [backup-simplify]: Simplify -1 into -1 2.778 * [taylor]: Taking taylor expansion of (* PI b) in b 2.778 * [taylor]: Taking taylor expansion of PI in b 2.778 * [backup-simplify]: Simplify PI into PI 2.778 * [taylor]: Taking taylor expansion of b in b 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.779 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 2.779 * [backup-simplify]: Simplify (* PI 0) into 0 2.780 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 2.781 * [backup-simplify]: Simplify (- PI) into (- PI) 2.782 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.782 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 2.782 * [backup-simplify]: Simplify (- 0) into 0 2.782 * [backup-simplify]: Simplify (+ PI 0) into PI 2.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.783 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.783 * [backup-simplify]: Simplify (- (/ PI 1) (+ (* (* -1 (* PI b)) (/ (/ 1 b) 1)))) into (* 2 PI) 2.784 * [taylor]: Taking taylor expansion of (* 2 PI) in b 2.784 * [taylor]: Taking taylor expansion of 2 in b 2.784 * [backup-simplify]: Simplify 2 into 2 2.784 * [taylor]: Taking taylor expansion of PI in b 2.784 * [backup-simplify]: Simplify PI into PI 2.784 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 2.784 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 2.785 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 2.785 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.787 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 2.787 * [backup-simplify]: Simplify (- 0) into 0 2.787 * [backup-simplify]: Simplify (+ 0 0) into 0 2.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.789 * [backup-simplify]: Simplify (+ 0 0) into 0 2.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* PI b)) (/ 0 1)) (* (* 2 PI) (/ (/ 1 b) 1)))) into (- (* 2 (/ PI b))) 2.790 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI b))) in b 2.790 * [taylor]: Taking taylor expansion of (* 2 (/ PI b)) in b 2.790 * [taylor]: Taking taylor expansion of 2 in b 2.790 * [backup-simplify]: Simplify 2 into 2 2.790 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.790 * [taylor]: Taking taylor expansion of PI in b 2.790 * [backup-simplify]: Simplify PI into PI 2.790 * [taylor]: Taking taylor expansion of b in b 2.790 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify 1 into 1 2.791 * [backup-simplify]: Simplify (/ PI 1) into PI 2.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.795 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 2.796 * [backup-simplify]: Simplify (- 0) into 0 2.796 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 2.797 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.799 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.799 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.801 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.802 * [backup-simplify]: Simplify (- 0) into 0 2.802 * [backup-simplify]: Simplify (+ 0 0) into 0 2.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 2.804 * [backup-simplify]: Simplify (+ 0 0) into 0 2.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* PI b)) (/ 0 1)) (* (* 2 PI) (/ 0 1)) (* (- (* 2 (/ PI b))) (/ (/ 1 b) 1)))) into (* 2 (/ PI (pow b 2))) 2.806 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 2.806 * [taylor]: Taking taylor expansion of 2 in b 2.806 * [backup-simplify]: Simplify 2 into 2 2.806 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.806 * [taylor]: Taking taylor expansion of PI in b 2.806 * [backup-simplify]: Simplify PI into PI 2.806 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.806 * [taylor]: Taking taylor expansion of b in b 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify 1 into 1 2.807 * [backup-simplify]: Simplify (* 1 1) into 1 2.807 * [backup-simplify]: Simplify (/ PI 1) into PI 2.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.816 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify (* (- PI) (* (/ 1 b) (/ 1 a))) into (* -1 (/ PI (* a b))) 2.817 * [backup-simplify]: Simplify (/ (+ (/ PI (/ 1 (- a))) (- (/ PI (/ 1 (- b))))) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ (- (* PI b) (* a PI)) (+ (/ 1 a) (/ 1 b)))) 2.817 * [approximate]: Taking taylor expansion of (* -1 (/ (- (* PI b) (* a PI)) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.817 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* PI b) (* a PI)) (+ (/ 1 a) (/ 1 b)))) in b 2.817 * [taylor]: Taking taylor expansion of -1 in b 2.817 * [backup-simplify]: Simplify -1 into -1 2.817 * [taylor]: Taking taylor expansion of (/ (- (* PI b) (* a PI)) (+ (/ 1 a) (/ 1 b))) in b 2.817 * [taylor]: Taking taylor expansion of (- (* PI b) (* a PI)) in b 2.817 * [taylor]: Taking taylor expansion of (* PI b) in b 2.817 * [taylor]: Taking taylor expansion of PI in b 2.817 * [backup-simplify]: Simplify PI into PI 2.817 * [taylor]: Taking taylor expansion of b in b 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 1 into 1 2.817 * [taylor]: Taking taylor expansion of (* a PI) in b 2.817 * [taylor]: Taking taylor expansion of a in b 2.817 * [backup-simplify]: Simplify a into a 2.817 * [taylor]: Taking taylor expansion of PI in b 2.817 * [backup-simplify]: Simplify PI into PI 2.817 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.817 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.817 * [taylor]: Taking taylor expansion of a in b 2.817 * [backup-simplify]: Simplify a into a 2.817 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.817 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.817 * [taylor]: Taking taylor expansion of b in b 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 1 into 1 2.818 * [backup-simplify]: Simplify (/ 1 1) into 1 2.819 * [backup-simplify]: Simplify (* PI 0) into 0 2.819 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.819 * [backup-simplify]: Simplify (- (* a PI)) into (- (* a PI)) 2.819 * [backup-simplify]: Simplify (+ 0 (- (* a PI))) into (- (* a PI)) 2.819 * [backup-simplify]: Simplify (+ 0 1) into 1 2.820 * [backup-simplify]: Simplify (/ (- (* a PI)) 1) into (* -1 (* a PI)) 2.820 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* PI b) (* a PI)) (+ (/ 1 a) (/ 1 b)))) in a 2.820 * [taylor]: Taking taylor expansion of -1 in a 2.820 * [backup-simplify]: Simplify -1 into -1 2.820 * [taylor]: Taking taylor expansion of (/ (- (* PI b) (* a PI)) (+ (/ 1 a) (/ 1 b))) in a 2.820 * [taylor]: Taking taylor expansion of (- (* PI b) (* a PI)) in a 2.820 * [taylor]: Taking taylor expansion of (* PI b) in a 2.820 * [taylor]: Taking taylor expansion of PI in a 2.820 * [backup-simplify]: Simplify PI into PI 2.820 * [taylor]: Taking taylor expansion of b in a 2.820 * [backup-simplify]: Simplify b into b 2.820 * [taylor]: Taking taylor expansion of (* a PI) in a 2.820 * [taylor]: Taking taylor expansion of a in a 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify 1 into 1 2.820 * [taylor]: Taking taylor expansion of PI in a 2.820 * [backup-simplify]: Simplify PI into PI 2.820 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.820 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.820 * [taylor]: Taking taylor expansion of a in a 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify 1 into 1 2.821 * [backup-simplify]: Simplify (/ 1 1) into 1 2.821 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.821 * [taylor]: Taking taylor expansion of b in a 2.821 * [backup-simplify]: Simplify b into b 2.821 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.821 * [backup-simplify]: Simplify (* PI b) into (* b PI) 2.821 * [backup-simplify]: Simplify (* 0 PI) into 0 2.822 * [backup-simplify]: Simplify (- 0) into 0 2.822 * [backup-simplify]: Simplify (+ (* b PI) 0) into (* b PI) 2.822 * [backup-simplify]: Simplify (+ 1 0) into 1 2.822 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 2.823 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* PI b) (* a PI)) (+ (/ 1 a) (/ 1 b)))) in a 2.823 * [taylor]: Taking taylor expansion of -1 in a 2.823 * [backup-simplify]: Simplify -1 into -1 2.823 * [taylor]: Taking taylor expansion of (/ (- (* PI b) (* a PI)) (+ (/ 1 a) (/ 1 b))) in a 2.823 * [taylor]: Taking taylor expansion of (- (* PI b) (* a PI)) in a 2.823 * [taylor]: Taking taylor expansion of (* PI b) in a 2.823 * [taylor]: Taking taylor expansion of PI in a 2.823 * [backup-simplify]: Simplify PI into PI 2.823 * [taylor]: Taking taylor expansion of b in a 2.823 * [backup-simplify]: Simplify b into b 2.823 * [taylor]: Taking taylor expansion of (* a PI) in a 2.823 * [taylor]: Taking taylor expansion of a in a 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 1 into 1 2.823 * [taylor]: Taking taylor expansion of PI in a 2.823 * [backup-simplify]: Simplify PI into PI 2.823 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.823 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.823 * [taylor]: Taking taylor expansion of a in a 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 1 into 1 2.823 * [backup-simplify]: Simplify (/ 1 1) into 1 2.824 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.824 * [taylor]: Taking taylor expansion of b in a 2.824 * [backup-simplify]: Simplify b into b 2.824 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.824 * [backup-simplify]: Simplify (* PI b) into (* b PI) 2.824 * [backup-simplify]: Simplify (* 0 PI) into 0 2.825 * [backup-simplify]: Simplify (- 0) into 0 2.825 * [backup-simplify]: Simplify (+ (* b PI) 0) into (* b PI) 2.825 * [backup-simplify]: Simplify (+ 1 0) into 1 2.825 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 2.825 * [backup-simplify]: Simplify (* -1 (* b PI)) into (* -1 (* b PI)) 2.825 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 2.826 * [taylor]: Taking taylor expansion of -1 in b 2.826 * [backup-simplify]: Simplify -1 into -1 2.826 * [taylor]: Taking taylor expansion of (* b PI) in b 2.826 * [taylor]: Taking taylor expansion of b in b 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 1 into 1 2.826 * [taylor]: Taking taylor expansion of PI in b 2.826 * [backup-simplify]: Simplify PI into PI 2.828 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.829 * [backup-simplify]: Simplify (* 0 PI) into 0 2.830 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 2.831 * [backup-simplify]: Simplify (- PI) into (- PI) 2.831 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 2.832 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.833 * [backup-simplify]: Simplify (- PI) into (- PI) 2.833 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 2.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.834 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.834 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* b PI) (/ (/ 1 b) 1)))) into (- (* 2 PI)) 2.836 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 PI))) (* 0 (* b PI))) into (* 2 PI) 2.836 * [taylor]: Taking taylor expansion of (* 2 PI) in b 2.836 * [taylor]: Taking taylor expansion of 2 in b 2.836 * [backup-simplify]: Simplify 2 into 2 2.836 * [taylor]: Taking taylor expansion of PI in b 2.836 * [backup-simplify]: Simplify PI into PI 2.836 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 2.836 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.837 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 2.837 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 2.838 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.839 * [backup-simplify]: Simplify (- 0) into 0 2.839 * [backup-simplify]: Simplify (+ 0 0) into 0 2.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.840 * [backup-simplify]: Simplify (+ 0 0) into 0 2.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b PI) (/ 0 1)) (* (- (* 2 PI)) (/ (/ 1 b) 1)))) into (* 2 (/ PI b)) 2.842 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ PI b))) (+ (* 0 (- (* 2 PI))) (* 0 (* b PI)))) into (- (* 2 (/ PI b))) 2.842 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI b))) in b 2.842 * [taylor]: Taking taylor expansion of (* 2 (/ PI b)) in b 2.842 * [taylor]: Taking taylor expansion of 2 in b 2.842 * [backup-simplify]: Simplify 2 into 2 2.842 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.842 * [taylor]: Taking taylor expansion of PI in b 2.842 * [backup-simplify]: Simplify PI into PI 2.842 * [taylor]: Taking taylor expansion of b in b 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.844 * [backup-simplify]: Simplify (/ PI 1) into PI 2.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.846 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 2.846 * [backup-simplify]: Simplify (- 0) into 0 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.848 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.848 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 2.849 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.850 * [backup-simplify]: Simplify (- 0) into 0 2.850 * [backup-simplify]: Simplify (+ 0 0) into 0 2.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 2.851 * [backup-simplify]: Simplify (+ 0 0) into 0 2.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b PI) (/ 0 1)) (* (- (* 2 PI)) (/ 0 1)) (* (* 2 (/ PI b)) (/ (/ 1 b) 1)))) into (- (* 2 (/ PI (pow b 2)))) 2.853 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ PI (pow b 2))))) (+ (* 0 (* 2 (/ PI b))) (+ (* 0 (- (* 2 PI))) (* 0 (* b PI))))) into (* 2 (/ PI (pow b 2))) 2.853 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 2.853 * [taylor]: Taking taylor expansion of 2 in b 2.853 * [backup-simplify]: Simplify 2 into 2 2.853 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.853 * [taylor]: Taking taylor expansion of PI in b 2.853 * [backup-simplify]: Simplify PI into PI 2.853 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.853 * [taylor]: Taking taylor expansion of b in b 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify 1 into 1 2.853 * [backup-simplify]: Simplify (* 1 1) into 1 2.853 * [backup-simplify]: Simplify (/ PI 1) into PI 2.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.857 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.857 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify (* (- PI) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1 (/ PI (* a b))) 2.858 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.858 * [backup-simplify]: Simplify (/ (/ (+ (/ PI a) (- (/ PI b))) (+ a b)) (* (- b a) 2)) into (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) 2.858 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in (a b) around 0 2.858 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in b 2.858 * [taylor]: Taking taylor expansion of 1/2 in b 2.858 * [backup-simplify]: Simplify 1/2 into 1/2 2.858 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in b 2.858 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b 2.858 * [taylor]: Taking taylor expansion of (/ PI a) in b 2.858 * [taylor]: Taking taylor expansion of PI in b 2.858 * [backup-simplify]: Simplify PI into PI 2.858 * [taylor]: Taking taylor expansion of a in b 2.858 * [backup-simplify]: Simplify a into a 2.858 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.858 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.858 * [taylor]: Taking taylor expansion of PI in b 2.858 * [backup-simplify]: Simplify PI into PI 2.858 * [taylor]: Taking taylor expansion of b in b 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify 1 into 1 2.859 * [backup-simplify]: Simplify (/ PI 1) into PI 2.859 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 2.859 * [taylor]: Taking taylor expansion of (- b a) in b 2.859 * [taylor]: Taking taylor expansion of b in b 2.859 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify 1 into 1 2.859 * [taylor]: Taking taylor expansion of a in b 2.859 * [backup-simplify]: Simplify a into a 2.859 * [taylor]: Taking taylor expansion of (+ a b) in b 2.859 * [taylor]: Taking taylor expansion of a in b 2.859 * [backup-simplify]: Simplify a into a 2.859 * [taylor]: Taking taylor expansion of b in b 2.859 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify 1 into 1 2.859 * [backup-simplify]: Simplify (- PI) into (- PI) 2.860 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 2.860 * [backup-simplify]: Simplify (- a) into (- a) 2.860 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 2.860 * [backup-simplify]: Simplify (+ a 0) into a 2.860 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 2.860 * [backup-simplify]: Simplify (/ (- PI) (* -1 (pow a 2))) into (/ PI (pow a 2)) 2.860 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in a 2.860 * [taylor]: Taking taylor expansion of 1/2 in a 2.860 * [backup-simplify]: Simplify 1/2 into 1/2 2.860 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in a 2.860 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 2.860 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.860 * [taylor]: Taking taylor expansion of PI in a 2.860 * [backup-simplify]: Simplify PI into PI 2.860 * [taylor]: Taking taylor expansion of a in a 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 1 into 1 2.861 * [backup-simplify]: Simplify (/ PI 1) into PI 2.861 * [taylor]: Taking taylor expansion of (/ PI b) in a 2.861 * [taylor]: Taking taylor expansion of PI in a 2.861 * [backup-simplify]: Simplify PI into PI 2.861 * [taylor]: Taking taylor expansion of b in a 2.861 * [backup-simplify]: Simplify b into b 2.861 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.861 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 2.861 * [taylor]: Taking taylor expansion of (- b a) in a 2.861 * [taylor]: Taking taylor expansion of b in a 2.861 * [backup-simplify]: Simplify b into b 2.861 * [taylor]: Taking taylor expansion of a in a 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify 1 into 1 2.861 * [taylor]: Taking taylor expansion of (+ a b) in a 2.861 * [taylor]: Taking taylor expansion of a in a 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify 1 into 1 2.861 * [taylor]: Taking taylor expansion of b in a 2.861 * [backup-simplify]: Simplify b into b 2.861 * [backup-simplify]: Simplify (+ PI 0) into PI 2.862 * [backup-simplify]: Simplify (- 0) into 0 2.862 * [backup-simplify]: Simplify (+ b 0) into b 2.862 * [backup-simplify]: Simplify (+ 0 b) into b 2.862 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.862 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 2.862 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in a 2.862 * [taylor]: Taking taylor expansion of 1/2 in a 2.862 * [backup-simplify]: Simplify 1/2 into 1/2 2.862 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in a 2.862 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 2.862 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.862 * [taylor]: Taking taylor expansion of PI in a 2.862 * [backup-simplify]: Simplify PI into PI 2.862 * [taylor]: Taking taylor expansion of a in a 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify 1 into 1 2.862 * [backup-simplify]: Simplify (/ PI 1) into PI 2.862 * [taylor]: Taking taylor expansion of (/ PI b) in a 2.862 * [taylor]: Taking taylor expansion of PI in a 2.862 * [backup-simplify]: Simplify PI into PI 2.862 * [taylor]: Taking taylor expansion of b in a 2.862 * [backup-simplify]: Simplify b into b 2.862 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.862 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 2.862 * [taylor]: Taking taylor expansion of (- b a) in a 2.862 * [taylor]: Taking taylor expansion of b in a 2.862 * [backup-simplify]: Simplify b into b 2.862 * [taylor]: Taking taylor expansion of a in a 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify 1 into 1 2.862 * [taylor]: Taking taylor expansion of (+ a b) in a 2.862 * [taylor]: Taking taylor expansion of a in a 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify 1 into 1 2.862 * [taylor]: Taking taylor expansion of b in a 2.862 * [backup-simplify]: Simplify b into b 2.863 * [backup-simplify]: Simplify (+ PI 0) into PI 2.863 * [backup-simplify]: Simplify (- 0) into 0 2.863 * [backup-simplify]: Simplify (+ b 0) into b 2.863 * [backup-simplify]: Simplify (+ 0 b) into b 2.863 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.863 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 2.863 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 2.863 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.863 * [taylor]: Taking taylor expansion of 1/2 in b 2.863 * [backup-simplify]: Simplify 1/2 into 1/2 2.863 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.863 * [taylor]: Taking taylor expansion of PI in b 2.863 * [backup-simplify]: Simplify PI into PI 2.863 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.863 * [taylor]: Taking taylor expansion of b in b 2.863 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify 1 into 1 2.864 * [backup-simplify]: Simplify (* 1 1) into 1 2.864 * [backup-simplify]: Simplify (/ PI 1) into PI 2.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.865 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.866 * [backup-simplify]: Simplify (- (/ PI b)) into (- (/ PI b)) 2.866 * [backup-simplify]: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) 2.866 * [backup-simplify]: Simplify (+ 1 0) into 1 2.867 * [backup-simplify]: Simplify (- 1) into -1 2.867 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.867 * [backup-simplify]: Simplify (+ (* b 1) (* -1 b)) into 0 2.867 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into (- (/ PI (pow b 3))) 2.867 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 2.867 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 2.867 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 2.867 * [taylor]: Taking taylor expansion of 1/2 in b 2.867 * [backup-simplify]: Simplify 1/2 into 1/2 2.867 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.867 * [taylor]: Taking taylor expansion of PI in b 2.867 * [backup-simplify]: Simplify PI into PI 2.867 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.867 * [taylor]: Taking taylor expansion of b in b 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify 1 into 1 2.868 * [backup-simplify]: Simplify (* 1 1) into 1 2.868 * [backup-simplify]: Simplify (* 1 1) into 1 2.868 * [backup-simplify]: Simplify (/ PI 1) into PI 2.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.872 * [backup-simplify]: Simplify (- 0) into 0 2.872 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.874 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.874 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.874 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 2.875 * [backup-simplify]: Simplify (- 0) into 0 2.875 * [backup-simplify]: Simplify (+ 0 0) into 0 2.875 * [backup-simplify]: Simplify (+ 0 0) into 0 2.875 * [backup-simplify]: Simplify (- 0) into 0 2.876 * [backup-simplify]: Simplify (+ 0 0) into 0 2.876 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 1) (* 0 b))) into (- 1) 2.876 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ (- 1) (pow b 2))) (* (- (/ PI (pow b 3))) (/ 0 (pow b 2))))) into (/ PI (pow b 4)) 2.877 * [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))) 2.877 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 2.877 * [taylor]: Taking taylor expansion of 1/2 in b 2.877 * [backup-simplify]: Simplify 1/2 into 1/2 2.877 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 2.877 * [taylor]: Taking taylor expansion of PI in b 2.877 * [backup-simplify]: Simplify PI into PI 2.877 * [taylor]: Taking taylor expansion of (pow b 4) in b 2.877 * [taylor]: Taking taylor expansion of b in b 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 1 into 1 2.877 * [backup-simplify]: Simplify (* 1 1) into 1 2.877 * [backup-simplify]: Simplify (* 1 1) into 1 2.878 * [backup-simplify]: Simplify (/ PI 1) into PI 2.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.886 * [backup-simplify]: Simplify (- 0) into 0 2.886 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify (/ (/ (+ (/ PI (/ 1 a)) (- (/ PI (/ 1 b)))) (+ (/ 1 a) (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2)) into (* 1/2 (/ (- (* a PI) (* b PI)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) 2.888 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* b PI)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in (a b) around 0 2.888 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* b PI)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in b 2.888 * [taylor]: Taking taylor expansion of 1/2 in b 2.888 * [backup-simplify]: Simplify 1/2 into 1/2 2.889 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* b PI)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 2.889 * [taylor]: Taking taylor expansion of (- (* a PI) (* b PI)) in b 2.889 * [taylor]: Taking taylor expansion of (* a PI) in b 2.889 * [taylor]: Taking taylor expansion of a in b 2.889 * [backup-simplify]: Simplify a into a 2.889 * [taylor]: Taking taylor expansion of PI in b 2.889 * [backup-simplify]: Simplify PI into PI 2.889 * [taylor]: Taking taylor expansion of (* b PI) in b 2.889 * [taylor]: Taking taylor expansion of b in b 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify 1 into 1 2.889 * [taylor]: Taking taylor expansion of PI in b 2.889 * [backup-simplify]: Simplify PI into PI 2.889 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 2.889 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 2.889 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.889 * [taylor]: Taking taylor expansion of b in b 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify 1 into 1 2.889 * [backup-simplify]: Simplify (/ 1 1) into 1 2.889 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.889 * [taylor]: Taking taylor expansion of a in b 2.889 * [backup-simplify]: Simplify a into a 2.889 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.889 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.889 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.889 * [taylor]: Taking taylor expansion of a in b 2.889 * [backup-simplify]: Simplify a into a 2.889 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.889 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.889 * [taylor]: Taking taylor expansion of b in b 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify 1 into 1 2.890 * [backup-simplify]: Simplify (/ 1 1) into 1 2.890 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.890 * [backup-simplify]: Simplify (* 0 PI) into 0 2.890 * [backup-simplify]: Simplify (- 0) into 0 2.890 * [backup-simplify]: Simplify (+ (* a PI) 0) into (* a PI) 2.891 * [backup-simplify]: Simplify (+ 1 0) into 1 2.891 * [backup-simplify]: Simplify (+ 0 1) into 1 2.891 * [backup-simplify]: Simplify (* 1 1) into 1 2.891 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 2.891 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* b PI)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in a 2.891 * [taylor]: Taking taylor expansion of 1/2 in a 2.891 * [backup-simplify]: Simplify 1/2 into 1/2 2.891 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* b PI)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 2.891 * [taylor]: Taking taylor expansion of (- (* a PI) (* b PI)) in a 2.891 * [taylor]: Taking taylor expansion of (* a PI) in a 2.891 * [taylor]: Taking taylor expansion of a in a 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 1 into 1 2.891 * [taylor]: Taking taylor expansion of PI in a 2.891 * [backup-simplify]: Simplify PI into PI 2.891 * [taylor]: Taking taylor expansion of (* b PI) in a 2.891 * [taylor]: Taking taylor expansion of b in a 2.891 * [backup-simplify]: Simplify b into b 2.891 * [taylor]: Taking taylor expansion of PI in a 2.891 * [backup-simplify]: Simplify PI into PI 2.891 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 2.891 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 2.891 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.891 * [taylor]: Taking taylor expansion of b in a 2.891 * [backup-simplify]: Simplify b into b 2.892 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.892 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.892 * [taylor]: Taking taylor expansion of a in a 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 1 into 1 2.892 * [backup-simplify]: Simplify (/ 1 1) into 1 2.892 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.892 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.892 * [taylor]: Taking taylor expansion of a in a 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 1 into 1 2.892 * [backup-simplify]: Simplify (/ 1 1) into 1 2.892 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.892 * [taylor]: Taking taylor expansion of b in a 2.892 * [backup-simplify]: Simplify b into b 2.892 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.893 * [backup-simplify]: Simplify (* 0 PI) into 0 2.893 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.893 * [backup-simplify]: Simplify (- (* PI b)) into (- (* PI b)) 2.893 * [backup-simplify]: Simplify (+ 0 (- (* PI b))) into (- (* b PI)) 2.893 * [backup-simplify]: Simplify (- 1) into -1 2.893 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.893 * [backup-simplify]: Simplify (+ 1 0) into 1 2.894 * [backup-simplify]: Simplify (* -1 1) into -1 2.894 * [backup-simplify]: Simplify (/ (- (* b PI)) -1) into (* PI b) 2.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* b PI)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in a 2.894 * [taylor]: Taking taylor expansion of 1/2 in a 2.894 * [backup-simplify]: Simplify 1/2 into 1/2 2.894 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* b PI)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 2.894 * [taylor]: Taking taylor expansion of (- (* a PI) (* b PI)) in a 2.894 * [taylor]: Taking taylor expansion of (* a PI) in a 2.894 * [taylor]: Taking taylor expansion of a in a 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 1 into 1 2.894 * [taylor]: Taking taylor expansion of PI in a 2.894 * [backup-simplify]: Simplify PI into PI 2.894 * [taylor]: Taking taylor expansion of (* b PI) in a 2.894 * [taylor]: Taking taylor expansion of b in a 2.894 * [backup-simplify]: Simplify b into b 2.894 * [taylor]: Taking taylor expansion of PI in a 2.894 * [backup-simplify]: Simplify PI into PI 2.894 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 2.894 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 2.894 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.894 * [taylor]: Taking taylor expansion of b in a 2.894 * [backup-simplify]: Simplify b into b 2.894 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.894 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.894 * [taylor]: Taking taylor expansion of a in a 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 1 into 1 2.894 * [backup-simplify]: Simplify (/ 1 1) into 1 2.894 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.895 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.895 * [taylor]: Taking taylor expansion of a in a 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 1 into 1 2.895 * [backup-simplify]: Simplify (/ 1 1) into 1 2.895 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.895 * [taylor]: Taking taylor expansion of b in a 2.895 * [backup-simplify]: Simplify b into b 2.895 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.895 * [backup-simplify]: Simplify (* 0 PI) into 0 2.895 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.895 * [backup-simplify]: Simplify (- (* PI b)) into (- (* PI b)) 2.895 * [backup-simplify]: Simplify (+ 0 (- (* PI b))) into (- (* b PI)) 2.896 * [backup-simplify]: Simplify (- 1) into -1 2.896 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.896 * [backup-simplify]: Simplify (+ 1 0) into 1 2.896 * [backup-simplify]: Simplify (* -1 1) into -1 2.896 * [backup-simplify]: Simplify (/ (- (* b PI)) -1) into (* PI b) 2.897 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 2.897 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 2.897 * [taylor]: Taking taylor expansion of 1/2 in b 2.897 * [backup-simplify]: Simplify 1/2 into 1/2 2.897 * [taylor]: Taking taylor expansion of (* PI b) in b 2.897 * [taylor]: Taking taylor expansion of PI in b 2.897 * [backup-simplify]: Simplify PI into PI 2.897 * [taylor]: Taking taylor expansion of b in b 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 1 into 1 2.897 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 2.898 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 2.898 * [backup-simplify]: Simplify (* PI 0) into 0 2.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.899 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.900 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 2.901 * [backup-simplify]: Simplify (- 0) into 0 2.901 * [backup-simplify]: Simplify (+ PI 0) into PI 2.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.901 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.902 * [backup-simplify]: Simplify (- 0) into 0 2.902 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 2.902 * [backup-simplify]: Simplify (+ (* -1 (/ 1 b)) (* (/ 1 b) 1)) into 0 2.903 * [backup-simplify]: Simplify (- (/ PI -1) (+ (* (* PI b) (/ 0 -1)))) into (- PI) 2.904 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 2.904 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 2.904 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.904 * [taylor]: Taking taylor expansion of 1/2 in b 2.904 * [backup-simplify]: Simplify 1/2 into 1/2 2.904 * [taylor]: Taking taylor expansion of PI in b 2.904 * [backup-simplify]: Simplify PI into PI 2.905 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.905 * [backup-simplify]: Simplify (- 0) into 0 2.905 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.908 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.909 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 2.910 * [backup-simplify]: Simplify (- 0) into 0 2.910 * [backup-simplify]: Simplify (+ 0 0) into 0 2.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.912 * [backup-simplify]: Simplify (+ 0 0) into 0 2.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (- 0) into 0 2.914 * [backup-simplify]: Simplify (+ 0 0) into 0 2.915 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 2.916 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* PI b) (/ (/ 1 (pow b 2)) -1)) (* (- PI) (/ 0 -1)))) into (/ PI b) 2.917 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 2.917 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.917 * [taylor]: Taking taylor expansion of 1/2 in b 2.917 * [backup-simplify]: Simplify 1/2 into 1/2 2.917 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.917 * [taylor]: Taking taylor expansion of PI in b 2.917 * [backup-simplify]: Simplify PI into PI 2.917 * [taylor]: Taking taylor expansion of b in b 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 1 into 1 2.918 * [backup-simplify]: Simplify (/ PI 1) into PI 2.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.922 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.924 * [backup-simplify]: Simplify (- 0) into 0 2.924 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.927 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify (/ (/ (+ (/ PI (/ 1 (- a))) (- (/ PI (/ 1 (- b))))) (+ (/ 1 (- a)) (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)) into (* -1/2 (/ (- (* PI b) (* a PI)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 2.927 * [approximate]: Taking taylor expansion of (* -1/2 (/ (- (* PI b) (* a PI)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 2.927 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* PI b) (* a PI)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 2.927 * [taylor]: Taking taylor expansion of -1/2 in b 2.927 * [backup-simplify]: Simplify -1/2 into -1/2 2.928 * [taylor]: Taking taylor expansion of (/ (- (* PI b) (* a PI)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 2.928 * [taylor]: Taking taylor expansion of (- (* PI b) (* a PI)) in b 2.928 * [taylor]: Taking taylor expansion of (* PI b) in b 2.928 * [taylor]: Taking taylor expansion of PI in b 2.928 * [backup-simplify]: Simplify PI into PI 2.928 * [taylor]: Taking taylor expansion of b in b 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 1 into 1 2.928 * [taylor]: Taking taylor expansion of (* a PI) in b 2.928 * [taylor]: Taking taylor expansion of a in b 2.928 * [backup-simplify]: Simplify a into a 2.928 * [taylor]: Taking taylor expansion of PI in b 2.928 * [backup-simplify]: Simplify PI into PI 2.928 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 2.928 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.928 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.928 * [taylor]: Taking taylor expansion of a in b 2.928 * [backup-simplify]: Simplify a into a 2.928 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.928 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.928 * [taylor]: Taking taylor expansion of b in b 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 1 into 1 2.929 * [backup-simplify]: Simplify (/ 1 1) into 1 2.929 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 2.929 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.929 * [taylor]: Taking taylor expansion of a in b 2.929 * [backup-simplify]: Simplify a into a 2.929 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.929 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.929 * [taylor]: Taking taylor expansion of b in b 2.929 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify 1 into 1 2.929 * [backup-simplify]: Simplify (/ 1 1) into 1 2.930 * [backup-simplify]: Simplify (* PI 0) into 0 2.930 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.930 * [backup-simplify]: Simplify (- (* a PI)) into (- (* a PI)) 2.930 * [backup-simplify]: Simplify (+ 0 (- (* a PI))) into (- (* a PI)) 2.931 * [backup-simplify]: Simplify (+ 0 1) into 1 2.931 * [backup-simplify]: Simplify (- 1) into -1 2.931 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.932 * [backup-simplify]: Simplify (* 1 -1) into -1 2.932 * [backup-simplify]: Simplify (/ (- (* a PI)) -1) into (* a PI) 2.932 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* PI b) (* a PI)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 2.932 * [taylor]: Taking taylor expansion of -1/2 in a 2.932 * [backup-simplify]: Simplify -1/2 into -1/2 2.932 * [taylor]: Taking taylor expansion of (/ (- (* PI b) (* a PI)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 2.932 * [taylor]: Taking taylor expansion of (- (* PI b) (* a PI)) in a 2.932 * [taylor]: Taking taylor expansion of (* PI b) in a 2.932 * [taylor]: Taking taylor expansion of PI in a 2.932 * [backup-simplify]: Simplify PI into PI 2.932 * [taylor]: Taking taylor expansion of b in a 2.932 * [backup-simplify]: Simplify b into b 2.932 * [taylor]: Taking taylor expansion of (* a PI) in a 2.932 * [taylor]: Taking taylor expansion of a in a 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 1 into 1 2.932 * [taylor]: Taking taylor expansion of PI in a 2.932 * [backup-simplify]: Simplify PI into PI 2.932 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 2.932 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.933 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.933 * [taylor]: Taking taylor expansion of a in a 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 1 into 1 2.933 * [backup-simplify]: Simplify (/ 1 1) into 1 2.933 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.933 * [taylor]: Taking taylor expansion of b in a 2.933 * [backup-simplify]: Simplify b into b 2.933 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.933 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 2.933 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.933 * [taylor]: Taking taylor expansion of a in a 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 1 into 1 2.934 * [backup-simplify]: Simplify (/ 1 1) into 1 2.934 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.934 * [taylor]: Taking taylor expansion of b in a 2.934 * [backup-simplify]: Simplify b into b 2.934 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.934 * [backup-simplify]: Simplify (* PI b) into (* b PI) 2.934 * [backup-simplify]: Simplify (* 0 PI) into 0 2.935 * [backup-simplify]: Simplify (- 0) into 0 2.935 * [backup-simplify]: Simplify (+ (* b PI) 0) into (* b PI) 2.936 * [backup-simplify]: Simplify (+ 1 0) into 1 2.936 * [backup-simplify]: Simplify (+ 1 0) into 1 2.936 * [backup-simplify]: Simplify (* 1 1) into 1 2.937 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 2.937 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* PI b) (* a PI)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 2.937 * [taylor]: Taking taylor expansion of -1/2 in a 2.937 * [backup-simplify]: Simplify -1/2 into -1/2 2.937 * [taylor]: Taking taylor expansion of (/ (- (* PI b) (* a PI)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 2.937 * [taylor]: Taking taylor expansion of (- (* PI b) (* a PI)) in a 2.937 * [taylor]: Taking taylor expansion of (* PI b) in a 2.937 * [taylor]: Taking taylor expansion of PI in a 2.937 * [backup-simplify]: Simplify PI into PI 2.937 * [taylor]: Taking taylor expansion of b in a 2.937 * [backup-simplify]: Simplify b into b 2.937 * [taylor]: Taking taylor expansion of (* a PI) in a 2.937 * [taylor]: Taking taylor expansion of a in a 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 1 into 1 2.937 * [taylor]: Taking taylor expansion of PI in a 2.937 * [backup-simplify]: Simplify PI into PI 2.937 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 2.937 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.937 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.937 * [taylor]: Taking taylor expansion of a in a 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 1 into 1 2.938 * [backup-simplify]: Simplify (/ 1 1) into 1 2.938 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.938 * [taylor]: Taking taylor expansion of b in a 2.938 * [backup-simplify]: Simplify b into b 2.938 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.938 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 2.938 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.938 * [taylor]: Taking taylor expansion of a in a 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 1 into 1 2.938 * [backup-simplify]: Simplify (/ 1 1) into 1 2.938 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.938 * [taylor]: Taking taylor expansion of b in a 2.938 * [backup-simplify]: Simplify b into b 2.939 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.939 * [backup-simplify]: Simplify (* PI b) into (* b PI) 2.939 * [backup-simplify]: Simplify (* 0 PI) into 0 2.939 * [backup-simplify]: Simplify (- 0) into 0 2.940 * [backup-simplify]: Simplify (+ (* b PI) 0) into (* b PI) 2.940 * [backup-simplify]: Simplify (+ 1 0) into 1 2.941 * [backup-simplify]: Simplify (+ 1 0) into 1 2.941 * [backup-simplify]: Simplify (* 1 1) into 1 2.941 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 2.941 * [backup-simplify]: Simplify (* -1/2 (* b PI)) into (* -1/2 (* b PI)) 2.941 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 2.941 * [taylor]: Taking taylor expansion of -1/2 in b 2.941 * [backup-simplify]: Simplify -1/2 into -1/2 2.941 * [taylor]: Taking taylor expansion of (* b PI) in b 2.941 * [taylor]: Taking taylor expansion of b in b 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [taylor]: Taking taylor expansion of PI in b 2.942 * [backup-simplify]: Simplify PI into PI 2.943 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.944 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.945 * [backup-simplify]: Simplify (* 0 PI) into 0 2.946 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.946 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 2.948 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.949 * [backup-simplify]: Simplify (- PI) into (- PI) 2.950 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 2.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.951 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 2.951 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 2.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.952 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.952 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 2.955 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* b PI) (/ 0 1)))) into (- PI) 2.957 * [backup-simplify]: Simplify (+ (* -1/2 (- PI)) (* 0 (* b PI))) into (* 1/2 PI) 2.957 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.957 * [taylor]: Taking taylor expansion of 1/2 in b 2.957 * [backup-simplify]: Simplify 1/2 into 1/2 2.957 * [taylor]: Taking taylor expansion of PI in b 2.957 * [backup-simplify]: Simplify PI into PI 2.958 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.958 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.960 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.960 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 2.962 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.962 * [backup-simplify]: Simplify (- 0) into 0 2.963 * [backup-simplify]: Simplify (+ 0 0) into 0 2.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.964 * [backup-simplify]: Simplify (- 0) into 0 2.964 * [backup-simplify]: Simplify (+ 0 0) into 0 2.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.966 * [backup-simplify]: Simplify (+ 0 0) into 0 2.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 2.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b PI) (/ (- (/ 1 (pow b 2))) 1)) (* (- PI) (/ 0 1)))) into (/ PI b) 2.968 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* b PI)))) into (- (* 1/2 (/ PI b))) 2.968 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 2.969 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.969 * [taylor]: Taking taylor expansion of 1/2 in b 2.969 * [backup-simplify]: Simplify 1/2 into 1/2 2.969 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.969 * [taylor]: Taking taylor expansion of PI in b 2.969 * [backup-simplify]: Simplify PI into PI 2.969 * [taylor]: Taking taylor expansion of b in b 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify 1 into 1 2.969 * [backup-simplify]: Simplify (/ PI 1) into PI 2.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.973 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.973 * [backup-simplify]: Simplify (- 0) into 0 2.974 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.975 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.978 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * * * [progress]: simplifying candidates 2.978 * * * * [progress]: [ 1 / 248 ] simplifiying candidate # 2.978 * * * * [progress]: [ 2 / 248 ] simplifiying candidate # 2.978 * * * * [progress]: [ 3 / 248 ] simplifiying candidate # 2.978 * * * * [progress]: [ 4 / 248 ] simplifiying candidate # 2.978 * * * * [progress]: [ 5 / 248 ] simplifiying candidate # 2.978 * * * * [progress]: [ 6 / 248 ] simplifiying candidate # 2.978 * * * * [progress]: [ 7 / 248 ] simplifiying candidate # 2.978 * * * * [progress]: [ 8 / 248 ] simplifiying candidate # 2.978 * * * * [progress]: [ 9 / 248 ] simplifiying candidate # 2.979 * * * * [progress]: [ 10 / 248 ] simplifiying candidate # 2.979 * * * * [progress]: [ 11 / 248 ] simplifiying candidate # 2.979 * * * * [progress]: [ 12 / 248 ] simplifiying candidate # 2.979 * * * * [progress]: [ 13 / 248 ] simplifiying candidate # 2.979 * * * * [progress]: [ 14 / 248 ] 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[progress]: [ 29 / 248 ] simplifiying candidate # 2.980 * * * * [progress]: [ 30 / 248 ] simplifiying candidate # 2.980 * * * * [progress]: [ 31 / 248 ] simplifiying candidate # 2.980 * * * * [progress]: [ 32 / 248 ] simplifiying candidate # 2.980 * * * * [progress]: [ 33 / 248 ] simplifiying candidate # 2.980 * * * * [progress]: [ 34 / 248 ] simplifiying candidate # 2.980 * * * * [progress]: [ 35 / 248 ] simplifiying candidate # 2.980 * * * * [progress]: [ 36 / 248 ] simplifiying candidate # 2.980 * * * * [progress]: [ 37 / 248 ] simplifiying candidate # 2.980 * * * * [progress]: [ 38 / 248 ] simplifiying candidate # 2.980 * * * * [progress]: [ 39 / 248 ] simplifiying candidate # 2.980 * * * * [progress]: [ 40 / 248 ] simplifiying candidate # 2.980 * * * * [progress]: [ 41 / 248 ] simplifiying candidate # 2.980 * * * * [progress]: [ 42 / 248 ] simplifiying candidate # 2.980 * * * * [progress]: [ 43 / 248 ] simplifiying candidate # 2.981 * * * * [progress]: [ 44 / 248 ] simplifiying candidate # 2.981 * * * * [progress]: [ 45 / 248 ] simplifiying candidate # 2.981 * * * * [progress]: [ 46 / 248 ] simplifiying candidate # 2.981 * * * * [progress]: [ 47 / 248 ] simplifiying candidate # 2.981 * * * * [progress]: [ 48 / 248 ] simplifiying candidate # 2.981 * * * * [progress]: [ 49 / 248 ] simplifiying candidate # 2.981 * * * * [progress]: [ 50 / 248 ] simplifiying candidate # 2.981 * * * * [progress]: [ 51 / 248 ] simplifiying candidate # 2.981 * * * * [progress]: [ 52 / 248 ] simplifiying candidate # 2.981 * * * * [progress]: [ 53 / 248 ] simplifiying candidate # 2.981 * * * * [progress]: [ 54 / 248 ] simplifiying candidate # 2.981 * * * * [progress]: [ 55 / 248 ] simplifiying candidate # 2.981 * * * * [progress]: [ 56 / 248 ] simplifiying candidate #real (real->posit16 (/ PI a))) (- (/ PI b))) (+ a b)) (* (- b a) 2)))> 2.981 * * * * [progress]: [ 57 / 248 ] simplifiying candidate # 2.981 * * * * [progress]: [ 58 / 248 ] simplifiying candidate # 2.981 * * * * 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# 2.986 * * * * [progress]: [ 106 / 248 ] simplifiying candidate # 2.986 * * * * [progress]: [ 107 / 248 ] simplifiying candidate # 2.986 * * * * [progress]: [ 108 / 248 ] simplifiying candidate # 2.986 * * * * [progress]: [ 109 / 248 ] simplifiying candidate # 2.987 * * * * [progress]: [ 110 / 248 ] simplifiying candidate # 2.987 * * * * [progress]: [ 111 / 248 ] simplifiying candidate # 2.987 * * * * [progress]: [ 112 / 248 ] simplifiying candidate # 2.987 * * * * [progress]: [ 113 / 248 ] simplifiying candidate # 2.987 * * * * [progress]: [ 114 / 248 ] simplifiying candidate # 2.987 * * * * [progress]: [ 115 / 248 ] simplifiying candidate # 2.987 * * * * [progress]: [ 116 / 248 ] simplifiying candidate # 2.987 * * * * [progress]: [ 117 / 248 ] simplifiying candidate # 2.987 * * * * [progress]: [ 118 / 248 ] simplifiying candidate # 2.987 * * * * [progress]: [ 119 / 248 ] simplifiying candidate # 2.987 * * * * [progress]: [ 120 / 248 ] simplifiying candidate # 2.987 * * * * 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simplifiying candidate # 2.996 * * * * [progress]: [ 242 / 248 ] simplifiying candidate # 2.996 * * * * [progress]: [ 243 / 248 ] simplifiying candidate # 2.996 * * * * [progress]: [ 244 / 248 ] simplifiying candidate # 2.996 * * * * [progress]: [ 245 / 248 ] simplifiying candidate # 2.996 * * * * [progress]: [ 246 / 248 ] simplifiying candidate # 2.996 * * * * [progress]: [ 247 / 248 ] simplifiying candidate # 2.996 * * * * [progress]: [ 248 / 248 ] simplifiying candidate # 3.001 * [simplify]: Simplifying: (- (log PI) (log b)) (log (/ PI b)) (exp (/ PI b)) (/ (* (* PI PI) PI) (* (* b b) b)) (* (cbrt (/ PI b)) (cbrt (/ PI b))) (cbrt (/ PI b)) (* (* (/ PI b) (/ PI b)) (/ PI b)) (sqrt (/ PI b)) (sqrt (/ PI b)) (- PI) (- b) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt b) (cbrt b))) (/ (cbrt PI) (cbrt b)) (/ (* (cbrt PI) (cbrt PI)) (sqrt b)) (/ (cbrt PI) (sqrt b)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) b) (/ (sqrt PI) (* (cbrt b) (cbrt b))) (/ (sqrt PI) (cbrt b)) (/ (sqrt PI) (sqrt b)) (/ (sqrt PI) (sqrt b)) (/ (sqrt PI) 1) (/ (sqrt PI) b) (/ 1 (* (cbrt b) (cbrt b))) (/ PI (cbrt b)) (/ 1 (sqrt b)) (/ PI (sqrt b)) (/ 1 1) (/ PI b) (/ 1 b) (/ b PI) (/ PI (* (cbrt b) (cbrt b))) (/ PI (sqrt b)) (/ PI 1) (/ b (cbrt PI)) (/ b (sqrt PI)) (/ b PI) (real->posit16 (/ PI b)) (- (log PI) (log a)) (log (/ PI a)) (exp (/ PI a)) (/ (* (* PI PI) PI) (* (* a a) a)) (* (cbrt (/ PI a)) (cbrt (/ PI a))) (cbrt (/ PI a)) (* (* (/ PI a) (/ PI a)) (/ PI a)) (sqrt (/ PI a)) (sqrt (/ PI a)) (- PI) (- a) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt a) (cbrt a))) (/ (cbrt PI) (cbrt a)) (/ (* (cbrt PI) (cbrt PI)) (sqrt a)) (/ (cbrt PI) (sqrt a)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) a) (/ (sqrt PI) (* (cbrt a) (cbrt a))) (/ (sqrt PI) (cbrt a)) (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) 1) (/ (sqrt PI) a) (/ 1 (* (cbrt a) (cbrt a))) (/ PI (cbrt a)) (/ 1 (sqrt a)) (/ PI (sqrt a)) (/ 1 1) (/ PI a) (/ 1 a) (/ a PI) (/ PI (* (cbrt a) (cbrt a))) (/ PI (sqrt a)) (/ PI 1) (/ a (cbrt PI)) (/ a (sqrt PI)) (/ a PI) (real->posit16 (/ PI a)) (- (log (+ (/ PI a) (- (/ PI b)))) (log (+ a b))) (log (/ (+ (/ PI a) (- (/ PI b))) (+ a b))) (exp (/ (+ (/ PI a) (- (/ PI b))) (+ a b))) (/ (* (* (+ (/ PI a) (- (/ PI b))) (+ (/ PI a) (- (/ PI b)))) (+ (/ PI a) (- (/ PI b)))) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ (+ (/ PI a) (- (/ PI b))) (+ a b))) (cbrt (/ (+ (/ PI a) (- (/ PI b))) (+ a b)))) (cbrt (/ (+ (/ PI a) (- (/ PI b))) (+ a b))) (* (* (/ (+ (/ PI a) (- (/ PI b))) (+ a b)) (/ (+ (/ PI a) (- (/ PI b))) (+ a b))) (/ (+ (/ PI a) (- (/ PI b))) (+ a b))) (sqrt (/ (+ (/ PI a) (- (/ PI b))) (+ a b))) (sqrt (/ (+ (/ PI a) (- (/ PI b))) (+ a b))) (- (+ (/ PI a) (- (/ PI b)))) (- (+ a b)) (/ (/ PI a) (+ a b)) (/ (/ PI b) (+ a b)) (/ (+ (/ PI a) 0) (+ a b)) (/ (/ PI b) (+ a b)) (/ (/ PI a) (+ a b)) (/ (/ PI b) (+ a b)) (/ (* (cbrt (+ (/ PI a) (- (/ PI b)))) (cbrt (+ (/ PI a) (- (/ PI b))))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt (+ (/ PI a) (- (/ PI b)))) (cbrt (+ a b))) (/ (* (cbrt (+ 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(/ PI b))) (sqrt (+ b a)))) (* (/ 2 (/ (sqrt (- (/ PI a) (/ PI b))) (- b a))) (+ b a)) (* (/ 2 (/ (sqrt (- (/ PI a) (/ PI b))) (- b a))) (+ b a)) (* (/ 2 (/ (- (/ PI a) (/ PI b)) (- b a))) (cbrt (+ b a))) (* (sqrt (+ b a)) (/ 2 (/ (- (/ PI a) (/ PI b)) (- b a)))) (/ (* 2 (- b a)) (/ (- (/ PI a) (/ PI b)) (+ b a))) (/ (* 2 (- b a)) (/ (- (/ PI a) (/ PI b)) (+ b a))) (* (cbrt (+ b a)) (/ 2 (/ (- (/ (cbrt PI) a) (/ (cbrt PI) b)) (- b a)))) (/ (* 2 (- b a)) (/ (- (/ (cbrt PI) a) (/ (cbrt PI) b)) (sqrt (+ b a)))) (/ (* (* 2 (- b a)) (+ b a)) (- (/ (cbrt PI) a) (/ (cbrt PI) b))) (/ (* (* 2 (- b a)) (+ b a)) (- (/ (cbrt PI) a) (/ (cbrt PI) b))) (/ (* 2 (- b a)) (/ (- (/ (sqrt PI) a) (/ (sqrt PI) b)) (cbrt (+ b a)))) (/ (* (* 2 (- b a)) (sqrt (+ b a))) (- (/ (sqrt PI) a) (/ (sqrt PI) b))) (/ 2 (/ (/ (- (/ (sqrt PI) a) (/ (sqrt PI) b)) (+ b a)) (- b a))) (/ 2 (/ (/ (- (/ (sqrt PI) a) (/ (sqrt PI) b)) (+ b a)) (- b a))) (* (/ 2 (/ (- (/ PI a) (/ PI b)) (- b a))) (cbrt (+ b a))) (* (sqrt (+ b a)) (/ 2 (/ (- (/ PI a) (/ PI b)) (- b a)))) (/ (* 2 (- b a)) (/ (- (/ PI a) (/ PI b)) (+ b a))) (/ (* 2 (- b a)) (/ (- (/ PI a) (/ PI b)) (+ b a))) (* (/ 2 (/ (- (/ PI a) (/ PI b)) (- b a))) (cbrt (+ b a))) (* (sqrt (+ b a)) (/ 2 (/ (- (/ PI a) (/ PI b)) (- b a)))) (/ (* 2 (- b a)) (/ (- (/ PI a) (/ PI b)) (+ b a))) (/ (* 2 (- b a)) (/ (- (/ PI a) (/ PI b)) (+ b a))) (* (/ 2 (/ (- (/ PI a) (/ PI b)) (- b a))) (cbrt (+ b a))) (* (sqrt (+ b a)) (/ 2 (/ (- (/ PI a) (/ PI b)) (- b a)))) (/ (* 2 (- b a)) (/ (- (/ PI a) (/ PI b)) (+ b a))) (/ (* 2 (- b a)) (/ (- (/ PI a) (/ PI b)) (+ b a))) (* (cbrt (+ b a)) (/ (* 2 (- b a)) (- (/ 1 a) (/ 1 b)))) (/ (* (* 2 (- b a)) (sqrt (+ b a))) (- (/ 1 a) (/ 1 b))) (/ (* (* 2 (- b a)) (+ b a)) (- (/ 1 a) (/ 1 b))) (/ (* (* 2 (- b a)) (+ b a)) (- (/ 1 a) (/ 1 b))) (/ (* 2 (- b a)) (/ (- (/ PI a) (/ PI b)) (+ b a))) (* (* 2 (- b a)) (+ b a)) (/ (* 2 (- b a)) (+ (* a a) (* (- b a) b))) (/ (- b a) (/ (- a b) 2)) (/ (/ (/ (- (/ PI a) (/ PI b)) 2) (+ b a)) (- (* b (* b b)) (* a (* a a)))) (/ (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (- b a) (+ b a))) 2) (* (* 2 (- b a)) (+ b a)) (real->posit16 (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* 2 (- b a)))) (/ PI b) (/ PI b) (/ PI b) (/ PI a) (/ PI a) (/ PI a) (/ (/ PI a) b) (/ (- PI) (* b a)) (/ (- PI) (* b a)) 0 0 0 3.750 * * * [progress]: adding candidates to table 6.189 * * [progress]: iteration 2 / 4 6.189 * * * [progress]: picking best candidate 6.223 * * * * [pick]: Picked # 6.224 * * * [progress]: localizing error 6.247 * * * [progress]: generating rewritten candidates 6.247 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 6.255 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 6.262 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 6.332 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.425 * * * [progress]: generating series expansions 6.425 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 6.425 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 6.425 * [approximate]: Taking taylor expansion of (/ PI b) in (b) around 0 6.425 * [taylor]: Taking taylor expansion of (/ PI b) in b 6.425 * [taylor]: Taking taylor expansion of PI in b 6.425 * [backup-simplify]: Simplify PI into PI 6.425 * [taylor]: Taking taylor expansion of b in b 6.425 * [backup-simplify]: Simplify 0 into 0 6.425 * [backup-simplify]: Simplify 1 into 1 6.426 * [backup-simplify]: Simplify (/ PI 1) into PI 6.426 * [taylor]: Taking taylor expansion of (/ PI b) in b 6.426 * [taylor]: Taking taylor expansion of PI in b 6.426 * [backup-simplify]: Simplify PI into PI 6.426 * [taylor]: Taking taylor expansion of b in b 6.426 * [backup-simplify]: Simplify 0 into 0 6.426 * [backup-simplify]: Simplify 1 into 1 6.427 * [backup-simplify]: Simplify (/ PI 1) into PI 6.427 * [backup-simplify]: Simplify PI into PI 6.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.428 * [backup-simplify]: Simplify 0 into 0 6.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.428 * [backup-simplify]: Simplify 0 into 0 6.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.429 * [backup-simplify]: Simplify 0 into 0 6.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.430 * [backup-simplify]: Simplify 0 into 0 6.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.430 * [backup-simplify]: Simplify 0 into 0 6.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.431 * [backup-simplify]: Simplify 0 into 0 6.431 * [backup-simplify]: Simplify (* PI (/ 1 b)) into (/ PI b) 6.431 * [backup-simplify]: Simplify (/ PI (/ 1 b)) into (* b PI) 6.431 * [approximate]: Taking taylor expansion of (* b PI) in (b) around 0 6.431 * [taylor]: Taking taylor expansion of (* b PI) in b 6.431 * [taylor]: Taking taylor expansion of b in b 6.431 * [backup-simplify]: Simplify 0 into 0 6.431 * [backup-simplify]: Simplify 1 into 1 6.431 * [taylor]: Taking taylor expansion of PI in b 6.431 * [backup-simplify]: Simplify PI into PI 6.431 * [taylor]: Taking taylor expansion of (* b PI) in b 6.431 * [taylor]: Taking taylor expansion of b in b 6.431 * [backup-simplify]: Simplify 0 into 0 6.431 * [backup-simplify]: Simplify 1 into 1 6.431 * [taylor]: Taking taylor expansion of PI in b 6.431 * [backup-simplify]: Simplify PI into PI 6.432 * [backup-simplify]: Simplify (* 0 PI) into 0 6.432 * [backup-simplify]: Simplify 0 into 0 6.432 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.432 * [backup-simplify]: Simplify PI into PI 6.433 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.433 * [backup-simplify]: Simplify 0 into 0 6.434 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.434 * [backup-simplify]: Simplify 0 into 0 6.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.435 * [backup-simplify]: Simplify 0 into 0 6.435 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.436 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.437 * [backup-simplify]: Simplify 0 into 0 6.438 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 6.438 * [backup-simplify]: Simplify 0 into 0 6.438 * [backup-simplify]: Simplify (* PI (/ 1 b)) into (/ PI b) 6.438 * [backup-simplify]: Simplify (/ PI (/ 1 (- b))) into (* -1 (* b PI)) 6.438 * [approximate]: Taking taylor expansion of (* -1 (* b PI)) in (b) around 0 6.438 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 6.438 * [taylor]: Taking taylor expansion of -1 in b 6.438 * [backup-simplify]: Simplify -1 into -1 6.438 * [taylor]: Taking taylor expansion of (* b PI) in b 6.438 * [taylor]: Taking taylor expansion of b in b 6.438 * [backup-simplify]: Simplify 0 into 0 6.438 * [backup-simplify]: Simplify 1 into 1 6.438 * [taylor]: Taking taylor expansion of PI in b 6.438 * [backup-simplify]: Simplify PI into PI 6.438 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 6.438 * [taylor]: Taking taylor expansion of -1 in b 6.438 * [backup-simplify]: Simplify -1 into -1 6.438 * [taylor]: Taking taylor expansion of (* b PI) in b 6.438 * [taylor]: Taking taylor expansion of b in b 6.438 * [backup-simplify]: Simplify 0 into 0 6.438 * [backup-simplify]: Simplify 1 into 1 6.438 * [taylor]: Taking taylor expansion of PI in b 6.438 * [backup-simplify]: Simplify PI into PI 6.439 * [backup-simplify]: Simplify (* 0 PI) into 0 6.439 * [backup-simplify]: Simplify (* -1 0) into 0 6.439 * [backup-simplify]: Simplify 0 into 0 6.440 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.441 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 6.441 * [backup-simplify]: Simplify (- PI) into (- PI) 6.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.442 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 6.443 * [backup-simplify]: Simplify 0 into 0 6.443 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.444 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.444 * [backup-simplify]: Simplify 0 into 0 6.445 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.446 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 6.446 * [backup-simplify]: Simplify 0 into 0 6.447 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.448 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 6.448 * [backup-simplify]: Simplify 0 into 0 6.449 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.450 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 6.450 * [backup-simplify]: Simplify 0 into 0 6.451 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 6.452 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 6.452 * [backup-simplify]: Simplify 0 into 0 6.452 * [backup-simplify]: Simplify (* (- PI) (/ 1 (- b))) into (/ PI b) 6.452 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 6.453 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 6.453 * [approximate]: Taking taylor expansion of (/ PI a) in (a) around 0 6.453 * [taylor]: Taking taylor expansion of (/ PI a) in a 6.453 * [taylor]: Taking taylor expansion of PI in a 6.453 * [backup-simplify]: Simplify PI into PI 6.453 * [taylor]: Taking taylor expansion of a in a 6.453 * [backup-simplify]: Simplify 0 into 0 6.453 * [backup-simplify]: Simplify 1 into 1 6.453 * [backup-simplify]: Simplify (/ PI 1) into PI 6.453 * [taylor]: Taking taylor expansion of (/ PI a) in a 6.453 * [taylor]: Taking taylor expansion of PI in a 6.453 * [backup-simplify]: Simplify PI into PI 6.453 * [taylor]: Taking taylor expansion of a in a 6.453 * [backup-simplify]: Simplify 0 into 0 6.453 * [backup-simplify]: Simplify 1 into 1 6.453 * [backup-simplify]: Simplify (/ PI 1) into PI 6.453 * [backup-simplify]: Simplify PI into PI 6.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.454 * [backup-simplify]: Simplify 0 into 0 6.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.455 * [backup-simplify]: Simplify 0 into 0 6.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.455 * [backup-simplify]: Simplify 0 into 0 6.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.456 * [backup-simplify]: Simplify 0 into 0 6.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.457 * [backup-simplify]: Simplify 0 into 0 6.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.457 * [backup-simplify]: Simplify 0 into 0 6.457 * [backup-simplify]: Simplify (* PI (/ 1 a)) into (/ PI a) 6.458 * [backup-simplify]: Simplify (/ PI (/ 1 a)) into (* a PI) 6.458 * [approximate]: Taking taylor expansion of (* a PI) in (a) around 0 6.458 * [taylor]: Taking taylor expansion of (* a PI) in a 6.458 * [taylor]: Taking taylor expansion of a in a 6.458 * [backup-simplify]: Simplify 0 into 0 6.458 * [backup-simplify]: Simplify 1 into 1 6.458 * [taylor]: Taking taylor expansion of PI in a 6.458 * [backup-simplify]: Simplify PI into PI 6.458 * [taylor]: Taking taylor expansion of (* a PI) in a 6.458 * [taylor]: Taking taylor expansion of a in a 6.458 * [backup-simplify]: Simplify 0 into 0 6.458 * [backup-simplify]: Simplify 1 into 1 6.458 * [taylor]: Taking taylor expansion of PI in a 6.458 * [backup-simplify]: Simplify PI into PI 6.458 * [backup-simplify]: Simplify (* 0 PI) into 0 6.458 * [backup-simplify]: Simplify 0 into 0 6.459 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.459 * [backup-simplify]: Simplify PI into PI 6.460 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.460 * [backup-simplify]: Simplify 0 into 0 6.460 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.460 * [backup-simplify]: Simplify 0 into 0 6.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.461 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.462 * [backup-simplify]: Simplify 0 into 0 6.463 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.463 * [backup-simplify]: Simplify 0 into 0 6.464 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 6.464 * [backup-simplify]: Simplify 0 into 0 6.464 * [backup-simplify]: Simplify (* PI (/ 1 a)) into (/ PI a) 6.464 * [backup-simplify]: Simplify (/ PI (/ 1 (- a))) into (* -1 (* a PI)) 6.464 * [approximate]: Taking taylor expansion of (* -1 (* a PI)) in (a) around 0 6.464 * [taylor]: Taking taylor expansion of (* -1 (* a PI)) in a 6.464 * [taylor]: Taking taylor expansion of -1 in a 6.464 * [backup-simplify]: Simplify -1 into -1 6.464 * [taylor]: Taking taylor expansion of (* a PI) in a 6.464 * [taylor]: Taking taylor expansion of a in a 6.464 * [backup-simplify]: Simplify 0 into 0 6.464 * [backup-simplify]: Simplify 1 into 1 6.464 * [taylor]: Taking taylor expansion of PI in a 6.464 * [backup-simplify]: Simplify PI into PI 6.464 * [taylor]: Taking taylor expansion of (* -1 (* a PI)) in a 6.464 * [taylor]: Taking taylor expansion of -1 in a 6.464 * [backup-simplify]: Simplify -1 into -1 6.464 * [taylor]: Taking taylor expansion of (* a PI) in a 6.464 * [taylor]: Taking taylor expansion of a in a 6.464 * [backup-simplify]: Simplify 0 into 0 6.464 * [backup-simplify]: Simplify 1 into 1 6.464 * [taylor]: Taking taylor expansion of PI in a 6.464 * [backup-simplify]: Simplify PI into PI 6.465 * [backup-simplify]: Simplify (* 0 PI) into 0 6.465 * [backup-simplify]: Simplify (* -1 0) into 0 6.465 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.467 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 6.467 * [backup-simplify]: Simplify (- PI) into (- PI) 6.468 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.469 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 6.469 * [backup-simplify]: Simplify 0 into 0 6.470 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.471 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.471 * [backup-simplify]: Simplify 0 into 0 6.472 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.473 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 6.473 * [backup-simplify]: Simplify 0 into 0 6.475 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.477 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 6.477 * [backup-simplify]: Simplify 0 into 0 6.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.480 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 6.480 * [backup-simplify]: Simplify 0 into 0 6.482 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 6.484 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 6.484 * [backup-simplify]: Simplify 0 into 0 6.485 * [backup-simplify]: Simplify (* (- PI) (/ 1 (- a))) into (/ PI a) 6.485 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 6.485 * [backup-simplify]: Simplify (/ (- (/ PI a) (/ PI b)) (+ a b)) into (/ (- (/ PI a) (/ PI b)) (+ a b)) 6.485 * [approximate]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ a b)) in (a b) around 0 6.485 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ a b)) in b 6.485 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b 6.485 * [taylor]: Taking taylor expansion of (/ PI a) in b 6.485 * [taylor]: Taking taylor expansion of PI in b 6.485 * [backup-simplify]: Simplify PI into PI 6.485 * [taylor]: Taking taylor expansion of a in b 6.485 * [backup-simplify]: Simplify a into a 6.485 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 6.485 * [taylor]: Taking taylor expansion of (/ PI b) in b 6.485 * [taylor]: Taking taylor expansion of PI in b 6.485 * [backup-simplify]: Simplify PI into PI 6.485 * [taylor]: Taking taylor expansion of b in b 6.486 * [backup-simplify]: Simplify 0 into 0 6.486 * [backup-simplify]: Simplify 1 into 1 6.486 * [backup-simplify]: Simplify (/ PI 1) into PI 6.486 * [taylor]: Taking taylor expansion of (+ a b) in b 6.486 * [taylor]: Taking taylor expansion of a in b 6.486 * [backup-simplify]: Simplify a into a 6.486 * [taylor]: Taking taylor expansion of b in b 6.486 * [backup-simplify]: Simplify 0 into 0 6.486 * [backup-simplify]: Simplify 1 into 1 6.487 * [backup-simplify]: Simplify (- PI) into (- PI) 6.487 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 6.488 * [backup-simplify]: Simplify (+ a 0) into a 6.488 * [backup-simplify]: Simplify (/ (- PI) a) into (* -1 (/ PI a)) 6.488 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ a b)) in a 6.488 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 6.488 * [taylor]: Taking taylor expansion of (/ PI a) in a 6.488 * [taylor]: Taking taylor expansion of PI in a 6.488 * [backup-simplify]: Simplify PI into PI 6.488 * [taylor]: Taking taylor expansion of a in a 6.488 * [backup-simplify]: Simplify 0 into 0 6.488 * [backup-simplify]: Simplify 1 into 1 6.489 * [backup-simplify]: Simplify (/ PI 1) into PI 6.489 * [taylor]: Taking taylor expansion of (/ PI b) in a 6.489 * [taylor]: Taking taylor expansion of PI in a 6.489 * [backup-simplify]: Simplify PI into PI 6.489 * [taylor]: Taking taylor expansion of b in a 6.489 * [backup-simplify]: Simplify b into b 6.489 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 6.489 * [taylor]: Taking taylor expansion of (+ a b) in a 6.489 * [taylor]: Taking taylor expansion of a in a 6.489 * [backup-simplify]: Simplify 0 into 0 6.489 * [backup-simplify]: Simplify 1 into 1 6.489 * [taylor]: Taking taylor expansion of b in a 6.489 * [backup-simplify]: Simplify b into b 6.490 * [backup-simplify]: Simplify (+ PI 0) into PI 6.490 * [backup-simplify]: Simplify (+ 0 b) into b 6.490 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 6.490 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ a b)) in a 6.490 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 6.490 * [taylor]: Taking taylor expansion of (/ PI a) in a 6.490 * [taylor]: Taking taylor expansion of PI in a 6.490 * [backup-simplify]: Simplify PI into PI 6.490 * [taylor]: Taking taylor expansion of a in a 6.490 * [backup-simplify]: Simplify 0 into 0 6.490 * [backup-simplify]: Simplify 1 into 1 6.490 * [backup-simplify]: Simplify (/ PI 1) into PI 6.490 * [taylor]: Taking taylor expansion of (/ PI b) in a 6.490 * [taylor]: Taking taylor expansion of PI in a 6.490 * [backup-simplify]: Simplify PI into PI 6.491 * [taylor]: Taking taylor expansion of b in a 6.491 * [backup-simplify]: Simplify b into b 6.491 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 6.491 * [taylor]: Taking taylor expansion of (+ a b) in a 6.491 * [taylor]: Taking taylor expansion of a in a 6.491 * [backup-simplify]: Simplify 0 into 0 6.491 * [backup-simplify]: Simplify 1 into 1 6.491 * [taylor]: Taking taylor expansion of b in a 6.491 * [backup-simplify]: Simplify b into b 6.491 * [backup-simplify]: Simplify (+ PI 0) into PI 6.491 * [backup-simplify]: Simplify (+ 0 b) into b 6.491 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 6.491 * [taylor]: Taking taylor expansion of (/ PI b) in b 6.492 * [taylor]: Taking taylor expansion of PI in b 6.492 * [backup-simplify]: Simplify PI into PI 6.492 * [taylor]: Taking taylor expansion of b in b 6.492 * [backup-simplify]: Simplify 0 into 0 6.492 * [backup-simplify]: Simplify 1 into 1 6.492 * [backup-simplify]: Simplify (/ PI 1) into PI 6.492 * [backup-simplify]: Simplify PI into PI 6.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.493 * [backup-simplify]: Simplify (- (/ PI b)) into (- (/ PI b)) 6.493 * [backup-simplify]: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) 6.494 * [backup-simplify]: Simplify (+ 1 0) into 1 6.494 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) b) (+ (* (/ PI b) (/ 1 b)))) into (- (* 2 (/ PI (pow b 2)))) 6.494 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow b 2)))) in b 6.494 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 6.494 * [taylor]: Taking taylor expansion of 2 in b 6.494 * [backup-simplify]: Simplify 2 into 2 6.494 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 6.494 * [taylor]: Taking taylor expansion of PI in b 6.494 * [backup-simplify]: Simplify PI into PI 6.494 * [taylor]: Taking taylor expansion of (pow b 2) in b 6.494 * [taylor]: Taking taylor expansion of b in b 6.494 * [backup-simplify]: Simplify 0 into 0 6.494 * [backup-simplify]: Simplify 1 into 1 6.495 * [backup-simplify]: Simplify (* 1 1) into 1 6.495 * [backup-simplify]: Simplify (/ PI 1) into PI 6.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.498 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 6.498 * [backup-simplify]: Simplify (- 0) into 0 6.498 * [backup-simplify]: Simplify 0 into 0 6.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.499 * [backup-simplify]: Simplify 0 into 0 6.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.500 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 6.501 * [backup-simplify]: Simplify (- 0) into 0 6.501 * [backup-simplify]: Simplify (+ 0 0) into 0 6.502 * [backup-simplify]: Simplify (+ 0 0) into 0 6.502 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (* 2 (/ PI (pow b 2)))) (/ 1 b)))) into (* 2 (/ PI (pow b 3))) 6.502 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 3))) in b 6.502 * [taylor]: Taking taylor expansion of 2 in b 6.502 * [backup-simplify]: Simplify 2 into 2 6.502 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 6.502 * [taylor]: Taking taylor expansion of PI in b 6.502 * [backup-simplify]: Simplify PI into PI 6.502 * [taylor]: Taking taylor expansion of (pow b 3) in b 6.502 * [taylor]: Taking taylor expansion of b in b 6.502 * [backup-simplify]: Simplify 0 into 0 6.502 * [backup-simplify]: Simplify 1 into 1 6.503 * [backup-simplify]: Simplify (* 1 1) into 1 6.503 * [backup-simplify]: Simplify (* 1 1) into 1 6.504 * [backup-simplify]: Simplify (/ PI 1) into PI 6.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.509 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 6.509 * [backup-simplify]: Simplify 0 into 0 6.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.510 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 6.511 * [backup-simplify]: Simplify (- 0) into 0 6.511 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.511 * [backup-simplify]: Simplify 0 into 0 6.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.512 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 6.512 * [backup-simplify]: Simplify (- 0) into 0 6.513 * [backup-simplify]: Simplify (+ 0 0) into 0 6.513 * [backup-simplify]: Simplify (+ 0 0) into 0 6.513 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (* 2 (/ PI (pow b 2)))) (/ 0 b)) (* (* 2 (/ PI (pow b 3))) (/ 1 b)))) into (- (* 2 (/ PI (pow b 4)))) 6.513 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow b 4)))) in b 6.513 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 4))) in b 6.513 * [taylor]: Taking taylor expansion of 2 in b 6.513 * [backup-simplify]: Simplify 2 into 2 6.513 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 6.513 * [taylor]: Taking taylor expansion of PI in b 6.513 * [backup-simplify]: Simplify PI into PI 6.513 * [taylor]: Taking taylor expansion of (pow b 4) in b 6.513 * [taylor]: Taking taylor expansion of b in b 6.513 * [backup-simplify]: Simplify 0 into 0 6.513 * [backup-simplify]: Simplify 1 into 1 6.513 * [backup-simplify]: Simplify (* 1 1) into 1 6.514 * [backup-simplify]: Simplify (* 1 1) into 1 6.514 * [backup-simplify]: Simplify (/ PI 1) into PI 6.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.519 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.520 * [backup-simplify]: Simplify (- 0) into 0 6.520 * [backup-simplify]: Simplify 0 into 0 6.520 * [backup-simplify]: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) 6.520 * [backup-simplify]: Simplify (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (+ (/ 1 a) (/ 1 b))) into (/ (- (* a PI) (* PI b)) (+ (/ 1 a) (/ 1 b))) 6.520 * [approximate]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 6.520 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (+ (/ 1 a) (/ 1 b))) in b 6.520 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in b 6.520 * [taylor]: Taking taylor expansion of (* a PI) in b 6.520 * [taylor]: Taking taylor expansion of a in b 6.520 * [backup-simplify]: Simplify a into a 6.520 * [taylor]: Taking taylor expansion of PI in b 6.520 * [backup-simplify]: Simplify PI into PI 6.520 * [taylor]: Taking taylor expansion of (* PI b) in b 6.520 * [taylor]: Taking taylor expansion of PI in b 6.520 * [backup-simplify]: Simplify PI into PI 6.520 * [taylor]: Taking taylor expansion of b in b 6.520 * [backup-simplify]: Simplify 0 into 0 6.520 * [backup-simplify]: Simplify 1 into 1 6.520 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 6.520 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.520 * [taylor]: Taking taylor expansion of a in b 6.520 * [backup-simplify]: Simplify a into a 6.520 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.520 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.520 * [taylor]: Taking taylor expansion of b in b 6.520 * [backup-simplify]: Simplify 0 into 0 6.520 * [backup-simplify]: Simplify 1 into 1 6.521 * [backup-simplify]: Simplify (/ 1 1) into 1 6.521 * [backup-simplify]: Simplify (* a PI) into (* a PI) 6.521 * [backup-simplify]: Simplify (* PI 0) into 0 6.521 * [backup-simplify]: Simplify (- 0) into 0 6.521 * [backup-simplify]: Simplify (+ (* a PI) 0) into (* a PI) 6.521 * [backup-simplify]: Simplify (+ 0 1) into 1 6.522 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 6.522 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (+ (/ 1 a) (/ 1 b))) in a 6.522 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 6.522 * [taylor]: Taking taylor expansion of (* a PI) in a 6.522 * [taylor]: Taking taylor expansion of a in a 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.522 * [taylor]: Taking taylor expansion of PI in a 6.522 * [backup-simplify]: Simplify PI into PI 6.522 * [taylor]: Taking taylor expansion of (* PI b) in a 6.522 * [taylor]: Taking taylor expansion of PI in a 6.522 * [backup-simplify]: Simplify PI into PI 6.522 * [taylor]: Taking taylor expansion of b in a 6.522 * [backup-simplify]: Simplify b into b 6.522 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.522 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.522 * [taylor]: Taking taylor expansion of a in a 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.522 * [backup-simplify]: Simplify (/ 1 1) into 1 6.522 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.522 * [taylor]: Taking taylor expansion of b in a 6.522 * [backup-simplify]: Simplify b into b 6.522 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.522 * [backup-simplify]: Simplify (* 0 PI) into 0 6.522 * [backup-simplify]: Simplify (* PI b) into (* b PI) 6.522 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 6.523 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 6.523 * [backup-simplify]: Simplify (+ 1 0) into 1 6.523 * [backup-simplify]: Simplify (/ (- (* PI b)) 1) into (* -1 (* b PI)) 6.523 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (+ (/ 1 a) (/ 1 b))) in a 6.523 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 6.523 * [taylor]: Taking taylor expansion of (* a PI) in a 6.523 * [taylor]: Taking taylor expansion of a in a 6.523 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify 1 into 1 6.523 * [taylor]: Taking taylor expansion of PI in a 6.523 * [backup-simplify]: Simplify PI into PI 6.523 * [taylor]: Taking taylor expansion of (* PI b) in a 6.523 * [taylor]: Taking taylor expansion of PI in a 6.523 * [backup-simplify]: Simplify PI into PI 6.523 * [taylor]: Taking taylor expansion of b in a 6.523 * [backup-simplify]: Simplify b into b 6.523 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.523 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.523 * [taylor]: Taking taylor expansion of a in a 6.523 * [backup-simplify]: Simplify 0 into 0 6.523 * [backup-simplify]: Simplify 1 into 1 6.523 * [backup-simplify]: Simplify (/ 1 1) into 1 6.523 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.523 * [taylor]: Taking taylor expansion of b in a 6.523 * [backup-simplify]: Simplify b into b 6.524 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.524 * [backup-simplify]: Simplify (* 0 PI) into 0 6.524 * [backup-simplify]: Simplify (* PI b) into (* b PI) 6.524 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 6.524 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 6.524 * [backup-simplify]: Simplify (+ 1 0) into 1 6.524 * [backup-simplify]: Simplify (/ (- (* PI b)) 1) into (* -1 (* b PI)) 6.524 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 6.524 * [taylor]: Taking taylor expansion of -1 in b 6.524 * [backup-simplify]: Simplify -1 into -1 6.524 * [taylor]: Taking taylor expansion of (* b PI) in b 6.524 * [taylor]: Taking taylor expansion of b in b 6.524 * [backup-simplify]: Simplify 0 into 0 6.524 * [backup-simplify]: Simplify 1 into 1 6.524 * [taylor]: Taking taylor expansion of PI in b 6.525 * [backup-simplify]: Simplify PI into PI 6.526 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.526 * [backup-simplify]: Simplify (* 0 PI) into 0 6.532 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 6.532 * [backup-simplify]: Simplify (- PI) into (- PI) 6.534 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.534 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 6.535 * [backup-simplify]: Simplify (- 0) into 0 6.535 * [backup-simplify]: Simplify (+ PI 0) into PI 6.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.535 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 6.536 * [backup-simplify]: Simplify (- (/ PI 1) (+ (* (* -1 (* b PI)) (/ (/ 1 b) 1)))) into (* 2 PI) 6.536 * [taylor]: Taking taylor expansion of (* 2 PI) in b 6.536 * [taylor]: Taking taylor expansion of 2 in b 6.536 * [backup-simplify]: Simplify 2 into 2 6.536 * [taylor]: Taking taylor expansion of PI in b 6.536 * [backup-simplify]: Simplify PI into PI 6.536 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 6.536 * [backup-simplify]: Simplify 0 into 0 6.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.538 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 6.538 * [backup-simplify]: Simplify 0 into 0 6.538 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.539 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 6.539 * [backup-simplify]: Simplify (- 0) into 0 6.539 * [backup-simplify]: Simplify (+ 0 0) into 0 6.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.541 * [backup-simplify]: Simplify (+ 0 0) into 0 6.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* b PI)) (/ 0 1)) (* (* 2 PI) (/ (/ 1 b) 1)))) into (- (* 2 (/ PI b))) 6.542 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI b))) in b 6.542 * [taylor]: Taking taylor expansion of (* 2 (/ PI b)) in b 6.542 * [taylor]: Taking taylor expansion of 2 in b 6.542 * [backup-simplify]: Simplify 2 into 2 6.542 * [taylor]: Taking taylor expansion of (/ PI b) in b 6.542 * [taylor]: Taking taylor expansion of PI in b 6.542 * [backup-simplify]: Simplify PI into PI 6.542 * [taylor]: Taking taylor expansion of b in b 6.542 * [backup-simplify]: Simplify 0 into 0 6.542 * [backup-simplify]: Simplify 1 into 1 6.543 * [backup-simplify]: Simplify (/ PI 1) into PI 6.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.545 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 6.546 * [backup-simplify]: Simplify (- 0) into 0 6.546 * [backup-simplify]: Simplify 0 into 0 6.547 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 6.547 * [backup-simplify]: Simplify 0 into 0 6.548 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.549 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.549 * [backup-simplify]: Simplify 0 into 0 6.550 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.551 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 6.552 * [backup-simplify]: Simplify (- 0) into 0 6.552 * [backup-simplify]: Simplify (+ 0 0) into 0 6.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 6.554 * [backup-simplify]: Simplify (+ 0 0) into 0 6.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* b PI)) (/ 0 1)) (* (* 2 PI) (/ 0 1)) (* (- (* 2 (/ PI b))) (/ (/ 1 b) 1)))) into (* 2 (/ PI (pow b 2))) 6.556 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 6.556 * [taylor]: Taking taylor expansion of 2 in b 6.556 * [backup-simplify]: Simplify 2 into 2 6.556 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 6.556 * [taylor]: Taking taylor expansion of PI in b 6.556 * [backup-simplify]: Simplify PI into PI 6.556 * [taylor]: Taking taylor expansion of (pow b 2) in b 6.556 * [taylor]: Taking taylor expansion of b in b 6.556 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify 1 into 1 6.556 * [backup-simplify]: Simplify (* 1 1) into 1 6.557 * [backup-simplify]: Simplify (/ PI 1) into PI 6.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.564 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.564 * [backup-simplify]: Simplify 0 into 0 6.565 * [backup-simplify]: Simplify (* (- PI) (* (/ 1 b) (/ 1 a))) into (* -1 (/ PI (* a b))) 6.565 * [backup-simplify]: Simplify (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b)))) 6.565 * [approximate]: Taking taylor expansion of (* -1 (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 6.565 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b)))) in b 6.565 * [taylor]: Taking taylor expansion of -1 in b 6.565 * [backup-simplify]: Simplify -1 into -1 6.565 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b))) in b 6.565 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in b 6.565 * [taylor]: Taking taylor expansion of (* b PI) in b 6.565 * [taylor]: Taking taylor expansion of b in b 6.565 * [backup-simplify]: Simplify 0 into 0 6.565 * [backup-simplify]: Simplify 1 into 1 6.565 * [taylor]: Taking taylor expansion of PI in b 6.565 * [backup-simplify]: Simplify PI into PI 6.565 * [taylor]: Taking taylor expansion of (* a PI) in b 6.565 * [taylor]: Taking taylor expansion of a in b 6.565 * [backup-simplify]: Simplify a into a 6.565 * [taylor]: Taking taylor expansion of PI in b 6.565 * [backup-simplify]: Simplify PI into PI 6.565 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 6.565 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.565 * [taylor]: Taking taylor expansion of a in b 6.565 * [backup-simplify]: Simplify a into a 6.565 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.565 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.565 * [taylor]: Taking taylor expansion of b in b 6.565 * [backup-simplify]: Simplify 0 into 0 6.566 * [backup-simplify]: Simplify 1 into 1 6.566 * [backup-simplify]: Simplify (/ 1 1) into 1 6.566 * [backup-simplify]: Simplify (* 0 PI) into 0 6.566 * [backup-simplify]: Simplify (* a PI) into (* a PI) 6.566 * [backup-simplify]: Simplify (- (* a PI)) into (- (* a PI)) 6.567 * [backup-simplify]: Simplify (+ 0 (- (* a PI))) into (- (* a PI)) 6.567 * [backup-simplify]: Simplify (+ 0 1) into 1 6.567 * [backup-simplify]: Simplify (/ (- (* a PI)) 1) into (* -1 (* a PI)) 6.567 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b)))) in a 6.567 * [taylor]: Taking taylor expansion of -1 in a 6.567 * [backup-simplify]: Simplify -1 into -1 6.567 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b))) in a 6.567 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 6.567 * [taylor]: Taking taylor expansion of (* b PI) in a 6.567 * [taylor]: Taking taylor expansion of b in a 6.567 * [backup-simplify]: Simplify b into b 6.567 * [taylor]: Taking taylor expansion of PI in a 6.567 * [backup-simplify]: Simplify PI into PI 6.567 * [taylor]: Taking taylor expansion of (* a PI) in a 6.567 * [taylor]: Taking taylor expansion of a in a 6.567 * [backup-simplify]: Simplify 0 into 0 6.567 * [backup-simplify]: Simplify 1 into 1 6.567 * [taylor]: Taking taylor expansion of PI in a 6.567 * [backup-simplify]: Simplify PI into PI 6.567 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.568 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.568 * [taylor]: Taking taylor expansion of a in a 6.568 * [backup-simplify]: Simplify 0 into 0 6.568 * [backup-simplify]: Simplify 1 into 1 6.568 * [backup-simplify]: Simplify (/ 1 1) into 1 6.568 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.568 * [taylor]: Taking taylor expansion of b in a 6.568 * [backup-simplify]: Simplify b into b 6.568 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.568 * [backup-simplify]: Simplify (* b PI) into (* PI b) 6.569 * [backup-simplify]: Simplify (* 0 PI) into 0 6.569 * [backup-simplify]: Simplify (- 0) into 0 6.569 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 6.569 * [backup-simplify]: Simplify (+ 1 0) into 1 6.570 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 6.570 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b)))) in a 6.570 * [taylor]: Taking taylor expansion of -1 in a 6.570 * [backup-simplify]: Simplify -1 into -1 6.570 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b))) in a 6.570 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 6.570 * [taylor]: Taking taylor expansion of (* b PI) in a 6.570 * [taylor]: Taking taylor expansion of b in a 6.570 * [backup-simplify]: Simplify b into b 6.570 * [taylor]: Taking taylor expansion of PI in a 6.570 * [backup-simplify]: Simplify PI into PI 6.570 * [taylor]: Taking taylor expansion of (* a PI) in a 6.570 * [taylor]: Taking taylor expansion of a in a 6.570 * [backup-simplify]: Simplify 0 into 0 6.570 * [backup-simplify]: Simplify 1 into 1 6.570 * [taylor]: Taking taylor expansion of PI in a 6.570 * [backup-simplify]: Simplify PI into PI 6.570 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.570 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.570 * [taylor]: Taking taylor expansion of a in a 6.570 * [backup-simplify]: Simplify 0 into 0 6.570 * [backup-simplify]: Simplify 1 into 1 6.570 * [backup-simplify]: Simplify (/ 1 1) into 1 6.570 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.570 * [taylor]: Taking taylor expansion of b in a 6.570 * [backup-simplify]: Simplify b into b 6.570 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.571 * [backup-simplify]: Simplify (* b PI) into (* PI b) 6.571 * [backup-simplify]: Simplify (* 0 PI) into 0 6.571 * [backup-simplify]: Simplify (- 0) into 0 6.571 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 6.572 * [backup-simplify]: Simplify (+ 1 0) into 1 6.572 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 6.572 * [backup-simplify]: Simplify (* -1 (* PI b)) into (* -1 (* PI b)) 6.572 * [taylor]: Taking taylor expansion of (* -1 (* PI b)) in b 6.572 * [taylor]: Taking taylor expansion of -1 in b 6.572 * [backup-simplify]: Simplify -1 into -1 6.572 * [taylor]: Taking taylor expansion of (* PI b) in b 6.572 * [taylor]: Taking taylor expansion of PI in b 6.572 * [backup-simplify]: Simplify PI into PI 6.572 * [taylor]: Taking taylor expansion of b in b 6.572 * [backup-simplify]: Simplify 0 into 0 6.572 * [backup-simplify]: Simplify 1 into 1 6.574 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 6.574 * [backup-simplify]: Simplify (* PI 0) into 0 6.576 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 6.576 * [backup-simplify]: Simplify (- PI) into (- PI) 6.576 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 6.578 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.578 * [backup-simplify]: Simplify (- PI) into (- PI) 6.579 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 6.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.580 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 6.581 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- (* 2 PI)) 6.583 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 PI))) (* 0 (* PI b))) into (* 2 PI) 6.583 * [taylor]: Taking taylor expansion of (* 2 PI) in b 6.583 * [taylor]: Taking taylor expansion of 2 in b 6.583 * [backup-simplify]: Simplify 2 into 2 6.583 * [taylor]: Taking taylor expansion of PI in b 6.583 * [backup-simplify]: Simplify PI into PI 6.583 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 6.583 * [backup-simplify]: Simplify 0 into 0 6.584 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 6.585 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 6.585 * [backup-simplify]: Simplify 0 into 0 6.586 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 6.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.587 * [backup-simplify]: Simplify (- 0) into 0 6.588 * [backup-simplify]: Simplify (+ 0 0) into 0 6.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.589 * [backup-simplify]: Simplify (+ 0 0) into 0 6.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- (* 2 PI)) (/ (/ 1 b) 1)))) into (* 2 (/ PI b)) 6.592 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ PI b))) (+ (* 0 (- (* 2 PI))) (* 0 (* PI b)))) into (- (* 2 (/ PI b))) 6.592 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI b))) in b 6.592 * [taylor]: Taking taylor expansion of (* 2 (/ PI b)) in b 6.592 * [taylor]: Taking taylor expansion of 2 in b 6.592 * [backup-simplify]: Simplify 2 into 2 6.592 * [taylor]: Taking taylor expansion of (/ PI b) in b 6.592 * [taylor]: Taking taylor expansion of PI in b 6.592 * [backup-simplify]: Simplify PI into PI 6.592 * [taylor]: Taking taylor expansion of b in b 6.592 * [backup-simplify]: Simplify 0 into 0 6.592 * [backup-simplify]: Simplify 1 into 1 6.593 * [backup-simplify]: Simplify (/ PI 1) into PI 6.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.596 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 6.596 * [backup-simplify]: Simplify (- 0) into 0 6.596 * [backup-simplify]: Simplify 0 into 0 6.597 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 6.597 * [backup-simplify]: Simplify 0 into 0 6.598 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.599 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.599 * [backup-simplify]: Simplify 0 into 0 6.600 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.602 * [backup-simplify]: Simplify (- 0) into 0 6.602 * [backup-simplify]: Simplify (+ 0 0) into 0 6.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 6.603 * [backup-simplify]: Simplify (+ 0 0) into 0 6.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- (* 2 PI)) (/ 0 1)) (* (* 2 (/ PI b)) (/ (/ 1 b) 1)))) into (- (* 2 (/ PI (pow b 2)))) 6.606 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ PI (pow b 2))))) (+ (* 0 (* 2 (/ PI b))) (+ (* 0 (- (* 2 PI))) (* 0 (* PI b))))) into (* 2 (/ PI (pow b 2))) 6.606 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 6.606 * [taylor]: Taking taylor expansion of 2 in b 6.606 * [backup-simplify]: Simplify 2 into 2 6.606 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 6.606 * [taylor]: Taking taylor expansion of PI in b 6.607 * [backup-simplify]: Simplify PI into PI 6.607 * [taylor]: Taking taylor expansion of (pow b 2) in b 6.607 * [taylor]: Taking taylor expansion of b in b 6.607 * [backup-simplify]: Simplify 0 into 0 6.607 * [backup-simplify]: Simplify 1 into 1 6.607 * [backup-simplify]: Simplify (* 1 1) into 1 6.607 * [backup-simplify]: Simplify (/ PI 1) into PI 6.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.614 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.614 * [backup-simplify]: Simplify 0 into 0 6.614 * [backup-simplify]: Simplify (* (- PI) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1 (/ PI (* a b))) 6.614 * * * * [progress]: [ 4 / 4 ] generating series at (2) 6.615 * [backup-simplify]: Simplify (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) (* (- b a) 2)) into (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) 6.615 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in (a b) around 0 6.615 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in b 6.615 * [taylor]: Taking taylor expansion of 1/2 in b 6.615 * [backup-simplify]: Simplify 1/2 into 1/2 6.615 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in b 6.615 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b 6.615 * [taylor]: Taking taylor expansion of (/ PI a) in b 6.615 * [taylor]: Taking taylor expansion of PI in b 6.615 * [backup-simplify]: Simplify PI into PI 6.615 * [taylor]: Taking taylor expansion of a in b 6.615 * [backup-simplify]: Simplify a into a 6.615 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 6.615 * [taylor]: Taking taylor expansion of (/ PI b) in b 6.615 * [taylor]: Taking taylor expansion of PI in b 6.615 * [backup-simplify]: Simplify PI into PI 6.615 * [taylor]: Taking taylor expansion of b in b 6.615 * [backup-simplify]: Simplify 0 into 0 6.615 * [backup-simplify]: Simplify 1 into 1 6.616 * [backup-simplify]: Simplify (/ PI 1) into PI 6.616 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 6.616 * [taylor]: Taking taylor expansion of (- b a) in b 6.616 * [taylor]: Taking taylor expansion of b in b 6.616 * [backup-simplify]: Simplify 0 into 0 6.616 * [backup-simplify]: Simplify 1 into 1 6.616 * [taylor]: Taking taylor expansion of a in b 6.616 * [backup-simplify]: Simplify a into a 6.616 * [taylor]: Taking taylor expansion of (+ a b) in b 6.616 * [taylor]: Taking taylor expansion of a in b 6.616 * [backup-simplify]: Simplify a into a 6.616 * [taylor]: Taking taylor expansion of b in b 6.616 * [backup-simplify]: Simplify 0 into 0 6.616 * [backup-simplify]: Simplify 1 into 1 6.616 * [backup-simplify]: Simplify (- PI) into (- PI) 6.617 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 6.617 * [backup-simplify]: Simplify (- a) into (- a) 6.617 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 6.617 * [backup-simplify]: Simplify (+ a 0) into a 6.617 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 6.618 * [backup-simplify]: Simplify (/ (- PI) (* -1 (pow a 2))) into (/ PI (pow a 2)) 6.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in a 6.618 * [taylor]: Taking taylor expansion of 1/2 in a 6.618 * [backup-simplify]: Simplify 1/2 into 1/2 6.618 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in a 6.618 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 6.618 * [taylor]: Taking taylor expansion of (/ PI a) in a 6.618 * [taylor]: Taking taylor expansion of PI in a 6.618 * [backup-simplify]: Simplify PI into PI 6.618 * [taylor]: Taking taylor expansion of a in a 6.618 * [backup-simplify]: Simplify 0 into 0 6.618 * [backup-simplify]: Simplify 1 into 1 6.619 * [backup-simplify]: Simplify (/ PI 1) into PI 6.619 * [taylor]: Taking taylor expansion of (/ PI b) in a 6.619 * [taylor]: Taking taylor expansion of PI in a 6.619 * [backup-simplify]: Simplify PI into PI 6.619 * [taylor]: Taking taylor expansion of b in a 6.619 * [backup-simplify]: Simplify b into b 6.619 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 6.619 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 6.619 * [taylor]: Taking taylor expansion of (- b a) in a 6.619 * [taylor]: Taking taylor expansion of b in a 6.619 * [backup-simplify]: Simplify b into b 6.619 * [taylor]: Taking taylor expansion of a in a 6.619 * [backup-simplify]: Simplify 0 into 0 6.619 * [backup-simplify]: Simplify 1 into 1 6.619 * [taylor]: Taking taylor expansion of (+ a b) in a 6.619 * [taylor]: Taking taylor expansion of a in a 6.619 * [backup-simplify]: Simplify 0 into 0 6.619 * [backup-simplify]: Simplify 1 into 1 6.619 * [taylor]: Taking taylor expansion of b in a 6.619 * [backup-simplify]: Simplify b into b 6.620 * [backup-simplify]: Simplify (+ PI 0) into PI 6.620 * [backup-simplify]: Simplify (- 0) into 0 6.620 * [backup-simplify]: Simplify (+ b 0) into b 6.620 * [backup-simplify]: Simplify (+ 0 b) into b 6.620 * [backup-simplify]: Simplify (* b b) into (pow b 2) 6.620 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 6.620 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in a 6.620 * [taylor]: Taking taylor expansion of 1/2 in a 6.620 * [backup-simplify]: Simplify 1/2 into 1/2 6.620 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in a 6.620 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 6.621 * [taylor]: Taking taylor expansion of (/ PI a) in a 6.621 * [taylor]: Taking taylor expansion of PI in a 6.621 * [backup-simplify]: Simplify PI into PI 6.621 * [taylor]: Taking taylor expansion of a in a 6.621 * [backup-simplify]: Simplify 0 into 0 6.621 * [backup-simplify]: Simplify 1 into 1 6.621 * [backup-simplify]: Simplify (/ PI 1) into PI 6.621 * [taylor]: Taking taylor expansion of (/ PI b) in a 6.621 * [taylor]: Taking taylor expansion of PI in a 6.621 * [backup-simplify]: Simplify PI into PI 6.621 * [taylor]: Taking taylor expansion of b in a 6.621 * [backup-simplify]: Simplify b into b 6.621 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 6.621 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 6.621 * [taylor]: Taking taylor expansion of (- b a) in a 6.621 * [taylor]: Taking taylor expansion of b in a 6.621 * [backup-simplify]: Simplify b into b 6.621 * [taylor]: Taking taylor expansion of a in a 6.621 * [backup-simplify]: Simplify 0 into 0 6.621 * [backup-simplify]: Simplify 1 into 1 6.621 * [taylor]: Taking taylor expansion of (+ a b) in a 6.621 * [taylor]: Taking taylor expansion of a in a 6.621 * [backup-simplify]: Simplify 0 into 0 6.621 * [backup-simplify]: Simplify 1 into 1 6.622 * [taylor]: Taking taylor expansion of b in a 6.622 * [backup-simplify]: Simplify b into b 6.622 * [backup-simplify]: Simplify (+ PI 0) into PI 6.622 * [backup-simplify]: Simplify (- 0) into 0 6.622 * [backup-simplify]: Simplify (+ b 0) into b 6.622 * [backup-simplify]: Simplify (+ 0 b) into b 6.622 * [backup-simplify]: Simplify (* b b) into (pow b 2) 6.623 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 6.623 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 6.623 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 6.623 * [taylor]: Taking taylor expansion of 1/2 in b 6.623 * [backup-simplify]: Simplify 1/2 into 1/2 6.623 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 6.623 * [taylor]: Taking taylor expansion of PI in b 6.623 * [backup-simplify]: Simplify PI into PI 6.623 * [taylor]: Taking taylor expansion of (pow b 2) in b 6.623 * [taylor]: Taking taylor expansion of b in b 6.623 * [backup-simplify]: Simplify 0 into 0 6.623 * [backup-simplify]: Simplify 1 into 1 6.623 * [backup-simplify]: Simplify (* 1 1) into 1 6.624 * [backup-simplify]: Simplify (/ PI 1) into PI 6.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 6.626 * [backup-simplify]: Simplify 0 into 0 6.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.627 * [backup-simplify]: Simplify (- (/ PI b)) into (- (/ PI b)) 6.627 * [backup-simplify]: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) 6.627 * [backup-simplify]: Simplify (+ 1 0) into 1 6.628 * [backup-simplify]: Simplify (- 1) into -1 6.628 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.628 * [backup-simplify]: Simplify (+ (* b 1) (* -1 b)) into 0 6.629 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into (- (/ PI (pow b 3))) 6.629 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 6.629 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 6.629 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 6.629 * [taylor]: Taking taylor expansion of 1/2 in b 6.629 * [backup-simplify]: Simplify 1/2 into 1/2 6.629 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 6.629 * [taylor]: Taking taylor expansion of PI in b 6.629 * [backup-simplify]: Simplify PI into PI 6.629 * [taylor]: Taking taylor expansion of (pow b 3) in b 6.629 * [taylor]: Taking taylor expansion of b in b 6.629 * [backup-simplify]: Simplify 0 into 0 6.629 * [backup-simplify]: Simplify 1 into 1 6.630 * [backup-simplify]: Simplify (* 1 1) into 1 6.630 * [backup-simplify]: Simplify (* 1 1) into 1 6.630 * [backup-simplify]: Simplify (/ PI 1) into PI 6.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.635 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 6.635 * [backup-simplify]: Simplify (- 0) into 0 6.635 * [backup-simplify]: Simplify 0 into 0 6.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.637 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 6.637 * [backup-simplify]: Simplify 0 into 0 6.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.638 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 6.638 * [backup-simplify]: Simplify (- 0) into 0 6.638 * [backup-simplify]: Simplify (+ 0 0) into 0 6.638 * [backup-simplify]: Simplify (+ 0 0) into 0 6.639 * [backup-simplify]: Simplify (- 0) into 0 6.639 * [backup-simplify]: Simplify (+ 0 0) into 0 6.639 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 1) (* 0 b))) into (- 1) 6.640 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ (- 1) (pow b 2))) (* (- (/ PI (pow b 3))) (/ 0 (pow b 2))))) into (/ PI (pow b 4)) 6.640 * [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))) 6.640 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 6.640 * [taylor]: Taking taylor expansion of 1/2 in b 6.640 * [backup-simplify]: Simplify 1/2 into 1/2 6.640 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 6.640 * [taylor]: Taking taylor expansion of PI in b 6.640 * [backup-simplify]: Simplify PI into PI 6.640 * [taylor]: Taking taylor expansion of (pow b 4) in b 6.640 * [taylor]: Taking taylor expansion of b in b 6.640 * [backup-simplify]: Simplify 0 into 0 6.640 * [backup-simplify]: Simplify 1 into 1 6.640 * [backup-simplify]: Simplify (* 1 1) into 1 6.641 * [backup-simplify]: Simplify (* 1 1) into 1 6.641 * [backup-simplify]: Simplify (/ PI 1) into PI 6.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.646 * [backup-simplify]: Simplify 0 into 0 6.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.649 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.649 * [backup-simplify]: Simplify (- 0) into 0 6.649 * [backup-simplify]: Simplify 0 into 0 6.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.651 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.651 * [backup-simplify]: Simplify 0 into 0 6.651 * [backup-simplify]: Simplify 0 into 0 6.651 * [backup-simplify]: Simplify (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (+ (/ 1 a) (/ 1 b))) (* (- (/ 1 b) (/ 1 a)) 2)) into (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) 6.651 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in (a b) around 0 6.651 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in b 6.651 * [taylor]: Taking taylor expansion of 1/2 in b 6.651 * [backup-simplify]: Simplify 1/2 into 1/2 6.651 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 6.651 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in b 6.651 * [taylor]: Taking taylor expansion of (* a PI) in b 6.651 * [taylor]: Taking taylor expansion of a in b 6.651 * [backup-simplify]: Simplify a into a 6.651 * [taylor]: Taking taylor expansion of PI in b 6.651 * [backup-simplify]: Simplify PI into PI 6.651 * [taylor]: Taking taylor expansion of (* PI b) in b 6.651 * [taylor]: Taking taylor expansion of PI in b 6.651 * [backup-simplify]: Simplify PI into PI 6.651 * [taylor]: Taking taylor expansion of b in b 6.651 * [backup-simplify]: Simplify 0 into 0 6.651 * [backup-simplify]: Simplify 1 into 1 6.651 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 6.651 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 6.651 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.652 * [taylor]: Taking taylor expansion of b in b 6.652 * [backup-simplify]: Simplify 0 into 0 6.652 * [backup-simplify]: Simplify 1 into 1 6.656 * [backup-simplify]: Simplify (/ 1 1) into 1 6.656 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.656 * [taylor]: Taking taylor expansion of a in b 6.656 * [backup-simplify]: Simplify a into a 6.656 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.656 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 6.656 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.656 * [taylor]: Taking taylor expansion of a in b 6.656 * [backup-simplify]: Simplify a into a 6.656 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.656 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.656 * [taylor]: Taking taylor expansion of b in b 6.656 * [backup-simplify]: Simplify 0 into 0 6.656 * [backup-simplify]: Simplify 1 into 1 6.657 * [backup-simplify]: Simplify (/ 1 1) into 1 6.657 * [backup-simplify]: Simplify (* a PI) into (* a PI) 6.657 * [backup-simplify]: Simplify (* PI 0) into 0 6.657 * [backup-simplify]: Simplify (- 0) into 0 6.657 * [backup-simplify]: Simplify (+ (* a PI) 0) into (* a PI) 6.658 * [backup-simplify]: Simplify (+ 1 0) into 1 6.658 * [backup-simplify]: Simplify (+ 0 1) into 1 6.658 * [backup-simplify]: Simplify (* 1 1) into 1 6.658 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 6.658 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in a 6.658 * [taylor]: Taking taylor expansion of 1/2 in a 6.658 * [backup-simplify]: Simplify 1/2 into 1/2 6.659 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 6.659 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 6.659 * [taylor]: Taking taylor expansion of (* a PI) in a 6.659 * [taylor]: Taking taylor expansion of a in a 6.659 * [backup-simplify]: Simplify 0 into 0 6.659 * [backup-simplify]: Simplify 1 into 1 6.659 * [taylor]: Taking taylor expansion of PI in a 6.659 * [backup-simplify]: Simplify PI into PI 6.659 * [taylor]: Taking taylor expansion of (* PI b) in a 6.659 * [taylor]: Taking taylor expansion of PI in a 6.659 * [backup-simplify]: Simplify PI into PI 6.659 * [taylor]: Taking taylor expansion of b in a 6.659 * [backup-simplify]: Simplify b into b 6.659 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 6.659 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 6.659 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.659 * [taylor]: Taking taylor expansion of b in a 6.659 * [backup-simplify]: Simplify b into b 6.659 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.659 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.659 * [taylor]: Taking taylor expansion of a in a 6.659 * [backup-simplify]: Simplify 0 into 0 6.659 * [backup-simplify]: Simplify 1 into 1 6.659 * [backup-simplify]: Simplify (/ 1 1) into 1 6.659 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.659 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.659 * [taylor]: Taking taylor expansion of a in a 6.659 * [backup-simplify]: Simplify 0 into 0 6.659 * [backup-simplify]: Simplify 1 into 1 6.660 * [backup-simplify]: Simplify (/ 1 1) into 1 6.660 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.660 * [taylor]: Taking taylor expansion of b in a 6.660 * [backup-simplify]: Simplify b into b 6.660 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.661 * [backup-simplify]: Simplify (* 0 PI) into 0 6.661 * [backup-simplify]: Simplify (* PI b) into (* b PI) 6.661 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 6.661 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 6.661 * [backup-simplify]: Simplify (- 1) into -1 6.662 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.662 * [backup-simplify]: Simplify (+ 1 0) into 1 6.663 * [backup-simplify]: Simplify (* -1 1) into -1 6.663 * [backup-simplify]: Simplify (/ (- (* PI b)) -1) into (* b PI) 6.663 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in a 6.663 * [taylor]: Taking taylor expansion of 1/2 in a 6.663 * [backup-simplify]: Simplify 1/2 into 1/2 6.663 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 6.663 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 6.663 * [taylor]: Taking taylor expansion of (* a PI) in a 6.663 * [taylor]: Taking taylor expansion of a in a 6.663 * [backup-simplify]: Simplify 0 into 0 6.663 * [backup-simplify]: Simplify 1 into 1 6.663 * [taylor]: Taking taylor expansion of PI in a 6.663 * [backup-simplify]: Simplify PI into PI 6.663 * [taylor]: Taking taylor expansion of (* PI b) in a 6.663 * [taylor]: Taking taylor expansion of PI in a 6.663 * [backup-simplify]: Simplify PI into PI 6.663 * [taylor]: Taking taylor expansion of b in a 6.663 * [backup-simplify]: Simplify b into b 6.663 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 6.663 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 6.663 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.664 * [taylor]: Taking taylor expansion of b in a 6.664 * [backup-simplify]: Simplify b into b 6.664 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.664 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.664 * [taylor]: Taking taylor expansion of a in a 6.664 * [backup-simplify]: Simplify 0 into 0 6.664 * [backup-simplify]: Simplify 1 into 1 6.664 * [backup-simplify]: Simplify (/ 1 1) into 1 6.664 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.664 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.664 * [taylor]: Taking taylor expansion of a in a 6.664 * [backup-simplify]: Simplify 0 into 0 6.664 * [backup-simplify]: Simplify 1 into 1 6.665 * [backup-simplify]: Simplify (/ 1 1) into 1 6.665 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.665 * [taylor]: Taking taylor expansion of b in a 6.665 * [backup-simplify]: Simplify b into b 6.665 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.665 * [backup-simplify]: Simplify (* 0 PI) into 0 6.665 * [backup-simplify]: Simplify (* PI b) into (* b PI) 6.665 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 6.665 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 6.666 * [backup-simplify]: Simplify (- 1) into -1 6.666 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.667 * [backup-simplify]: Simplify (+ 1 0) into 1 6.667 * [backup-simplify]: Simplify (* -1 1) into -1 6.667 * [backup-simplify]: Simplify (/ (- (* PI b)) -1) into (* b PI) 6.667 * [backup-simplify]: Simplify (* 1/2 (* b PI)) into (* 1/2 (* b PI)) 6.668 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 6.668 * [taylor]: Taking taylor expansion of 1/2 in b 6.668 * [backup-simplify]: Simplify 1/2 into 1/2 6.668 * [taylor]: Taking taylor expansion of (* b PI) in b 6.668 * [taylor]: Taking taylor expansion of b in b 6.668 * [backup-simplify]: Simplify 0 into 0 6.668 * [backup-simplify]: Simplify 1 into 1 6.668 * [taylor]: Taking taylor expansion of PI in b 6.668 * [backup-simplify]: Simplify PI into PI 6.669 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.671 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.671 * [backup-simplify]: Simplify (* 0 PI) into 0 6.672 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 6.672 * [backup-simplify]: Simplify 0 into 0 6.674 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.674 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 6.675 * [backup-simplify]: Simplify (- 0) into 0 6.675 * [backup-simplify]: Simplify (+ PI 0) into PI 6.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.676 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 6.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.677 * [backup-simplify]: Simplify (- 0) into 0 6.678 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 6.678 * [backup-simplify]: Simplify (+ (* -1 (/ 1 b)) (* (/ 1 b) 1)) into 0 6.679 * [backup-simplify]: Simplify (- (/ PI -1) (+ (* (* b PI) (/ 0 -1)))) into (- PI) 6.680 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* b PI))) into (- (* 1/2 PI)) 6.680 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 6.680 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 6.680 * [taylor]: Taking taylor expansion of 1/2 in b 6.680 * [backup-simplify]: Simplify 1/2 into 1/2 6.680 * [taylor]: Taking taylor expansion of PI in b 6.680 * [backup-simplify]: Simplify PI into PI 6.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 6.682 * [backup-simplify]: Simplify (- 0) into 0 6.682 * [backup-simplify]: Simplify 0 into 0 6.683 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.684 * [backup-simplify]: Simplify 0 into 0 6.685 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.686 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 6.686 * [backup-simplify]: Simplify (- 0) into 0 6.687 * [backup-simplify]: Simplify (+ 0 0) into 0 6.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.688 * [backup-simplify]: Simplify (+ 0 0) into 0 6.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.690 * [backup-simplify]: Simplify (- 0) into 0 6.690 * [backup-simplify]: Simplify (+ 0 0) into 0 6.691 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 6.692 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* b PI) (/ (/ 1 (pow b 2)) -1)) (* (- PI) (/ 0 -1)))) into (/ PI b) 6.693 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* b PI)))) into (* 1/2 (/ PI b)) 6.693 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 6.693 * [taylor]: Taking taylor expansion of 1/2 in b 6.693 * [backup-simplify]: Simplify 1/2 into 1/2 6.693 * [taylor]: Taking taylor expansion of (/ PI b) in b 6.693 * [taylor]: Taking taylor expansion of PI in b 6.693 * [backup-simplify]: Simplify PI into PI 6.693 * [taylor]: Taking taylor expansion of b in b 6.693 * [backup-simplify]: Simplify 0 into 0 6.693 * [backup-simplify]: Simplify 1 into 1 6.694 * [backup-simplify]: Simplify (/ PI 1) into PI 6.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.698 * [backup-simplify]: Simplify 0 into 0 6.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.700 * [backup-simplify]: Simplify (- 0) into 0 6.700 * [backup-simplify]: Simplify 0 into 0 6.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 6.703 * [backup-simplify]: Simplify 0 into 0 6.703 * [backup-simplify]: Simplify 0 into 0 6.703 * [backup-simplify]: Simplify (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) (* (- (/ 1 (- b)) (/ 1 (- a))) 2)) into (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) 6.703 * [approximate]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in (a b) around 0 6.703 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in b 6.703 * [taylor]: Taking taylor expansion of -1/2 in b 6.704 * [backup-simplify]: Simplify -1/2 into -1/2 6.704 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in b 6.704 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in b 6.704 * [taylor]: Taking taylor expansion of (* b PI) in b 6.704 * [taylor]: Taking taylor expansion of b in b 6.704 * [backup-simplify]: Simplify 0 into 0 6.704 * [backup-simplify]: Simplify 1 into 1 6.704 * [taylor]: Taking taylor expansion of PI in b 6.704 * [backup-simplify]: Simplify PI into PI 6.704 * [taylor]: Taking taylor expansion of (* a PI) in b 6.704 * [taylor]: Taking taylor expansion of a in b 6.704 * [backup-simplify]: Simplify a into a 6.704 * [taylor]: Taking taylor expansion of PI in b 6.704 * [backup-simplify]: Simplify PI into PI 6.704 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in b 6.704 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 6.704 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.704 * [taylor]: Taking taylor expansion of a in b 6.704 * [backup-simplify]: Simplify a into a 6.704 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.704 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.704 * [taylor]: Taking taylor expansion of b in b 6.704 * [backup-simplify]: Simplify 0 into 0 6.704 * [backup-simplify]: Simplify 1 into 1 6.705 * [backup-simplify]: Simplify (/ 1 1) into 1 6.705 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 6.705 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.705 * [taylor]: Taking taylor expansion of a in b 6.705 * [backup-simplify]: Simplify a into a 6.705 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.705 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.705 * [taylor]: Taking taylor expansion of b in b 6.705 * [backup-simplify]: Simplify 0 into 0 6.705 * [backup-simplify]: Simplify 1 into 1 6.705 * [backup-simplify]: Simplify (/ 1 1) into 1 6.706 * [backup-simplify]: Simplify (* 0 PI) into 0 6.706 * [backup-simplify]: Simplify (* a PI) into (* a PI) 6.706 * [backup-simplify]: Simplify (- (* a PI)) into (- (* a PI)) 6.706 * [backup-simplify]: Simplify (+ 0 (- (* a PI))) into (- (* a PI)) 6.707 * [backup-simplify]: Simplify (- 1) into -1 6.707 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.708 * [backup-simplify]: Simplify (+ 0 1) into 1 6.708 * [backup-simplify]: Simplify (* -1 1) into -1 6.708 * [backup-simplify]: Simplify (/ (- (* a PI)) -1) into (* a PI) 6.708 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in a 6.708 * [taylor]: Taking taylor expansion of -1/2 in a 6.708 * [backup-simplify]: Simplify -1/2 into -1/2 6.708 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in a 6.708 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 6.708 * [taylor]: Taking taylor expansion of (* b PI) in a 6.708 * [taylor]: Taking taylor expansion of b in a 6.708 * [backup-simplify]: Simplify b into b 6.708 * [taylor]: Taking taylor expansion of PI in a 6.708 * [backup-simplify]: Simplify PI into PI 6.708 * [taylor]: Taking taylor expansion of (* a PI) in a 6.708 * [taylor]: Taking taylor expansion of a in a 6.709 * [backup-simplify]: Simplify 0 into 0 6.709 * [backup-simplify]: Simplify 1 into 1 6.709 * [taylor]: Taking taylor expansion of PI in a 6.709 * [backup-simplify]: Simplify PI into PI 6.709 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in a 6.709 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 6.709 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.709 * [taylor]: Taking taylor expansion of a in a 6.709 * [backup-simplify]: Simplify 0 into 0 6.709 * [backup-simplify]: Simplify 1 into 1 6.709 * [backup-simplify]: Simplify (/ 1 1) into 1 6.709 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.709 * [taylor]: Taking taylor expansion of b in a 6.709 * [backup-simplify]: Simplify b into b 6.709 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.709 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.709 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.709 * [taylor]: Taking taylor expansion of a in a 6.709 * [backup-simplify]: Simplify 0 into 0 6.709 * [backup-simplify]: Simplify 1 into 1 6.710 * [backup-simplify]: Simplify (/ 1 1) into 1 6.710 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.710 * [taylor]: Taking taylor expansion of b in a 6.710 * [backup-simplify]: Simplify b into b 6.710 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.710 * [backup-simplify]: Simplify (* b PI) into (* PI b) 6.711 * [backup-simplify]: Simplify (* 0 PI) into 0 6.711 * [backup-simplify]: Simplify (- 0) into 0 6.711 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 6.712 * [backup-simplify]: Simplify (+ 1 0) into 1 6.712 * [backup-simplify]: Simplify (+ 1 0) into 1 6.712 * [backup-simplify]: Simplify (* 1 1) into 1 6.712 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 6.713 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in a 6.713 * [taylor]: Taking taylor expansion of -1/2 in a 6.713 * [backup-simplify]: Simplify -1/2 into -1/2 6.713 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in a 6.713 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 6.713 * [taylor]: Taking taylor expansion of (* b PI) in a 6.713 * [taylor]: Taking taylor expansion of b in a 6.713 * [backup-simplify]: Simplify b into b 6.713 * [taylor]: Taking taylor expansion of PI in a 6.713 * [backup-simplify]: Simplify PI into PI 6.713 * [taylor]: Taking taylor expansion of (* a PI) in a 6.713 * [taylor]: Taking taylor expansion of a in a 6.713 * [backup-simplify]: Simplify 0 into 0 6.713 * [backup-simplify]: Simplify 1 into 1 6.713 * [taylor]: Taking taylor expansion of PI in a 6.713 * [backup-simplify]: Simplify PI into PI 6.713 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in a 6.713 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 6.713 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.713 * [taylor]: Taking taylor expansion of a in a 6.713 * [backup-simplify]: Simplify 0 into 0 6.713 * [backup-simplify]: Simplify 1 into 1 6.714 * [backup-simplify]: Simplify (/ 1 1) into 1 6.714 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.714 * [taylor]: Taking taylor expansion of b in a 6.714 * [backup-simplify]: Simplify b into b 6.714 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.714 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.714 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.714 * [taylor]: Taking taylor expansion of a in a 6.714 * [backup-simplify]: Simplify 0 into 0 6.714 * [backup-simplify]: Simplify 1 into 1 6.714 * [backup-simplify]: Simplify (/ 1 1) into 1 6.714 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.714 * [taylor]: Taking taylor expansion of b in a 6.714 * [backup-simplify]: Simplify b into b 6.714 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.715 * [backup-simplify]: Simplify (* b PI) into (* PI b) 6.715 * [backup-simplify]: Simplify (* 0 PI) into 0 6.715 * [backup-simplify]: Simplify (- 0) into 0 6.715 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 6.716 * [backup-simplify]: Simplify (+ 1 0) into 1 6.716 * [backup-simplify]: Simplify (+ 1 0) into 1 6.717 * [backup-simplify]: Simplify (* 1 1) into 1 6.717 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 6.717 * [backup-simplify]: Simplify (* -1/2 (* PI b)) into (* -1/2 (* PI b)) 6.717 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 6.717 * [taylor]: Taking taylor expansion of -1/2 in b 6.717 * [backup-simplify]: Simplify -1/2 into -1/2 6.717 * [taylor]: Taking taylor expansion of (* PI b) in b 6.717 * [taylor]: Taking taylor expansion of PI in b 6.717 * [backup-simplify]: Simplify PI into PI 6.717 * [taylor]: Taking taylor expansion of b in b 6.717 * [backup-simplify]: Simplify 0 into 0 6.717 * [backup-simplify]: Simplify 1 into 1 6.719 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 6.720 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 6.721 * [backup-simplify]: Simplify (* PI 0) into 0 6.722 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 6.722 * [backup-simplify]: Simplify 0 into 0 6.723 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 6.724 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.725 * [backup-simplify]: Simplify (- PI) into (- PI) 6.726 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 6.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.727 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 6.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.727 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 6.728 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 6.728 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (- (/ 1 b)) 1)) into 0 6.730 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ 0 1)))) into (- PI) 6.731 * [backup-simplify]: Simplify (+ (* -1/2 (- PI)) (* 0 (* PI b))) into (* 1/2 PI) 6.731 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 6.731 * [taylor]: Taking taylor expansion of 1/2 in b 6.731 * [backup-simplify]: Simplify 1/2 into 1/2 6.731 * [taylor]: Taking taylor expansion of PI in b 6.731 * [backup-simplify]: Simplify PI into PI 6.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 6.732 * [backup-simplify]: Simplify 0 into 0 6.733 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.734 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.734 * [backup-simplify]: Simplify 0 into 0 6.735 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 6.736 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.737 * [backup-simplify]: Simplify (- 0) into 0 6.737 * [backup-simplify]: Simplify (+ 0 0) into 0 6.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.739 * [backup-simplify]: Simplify (+ 0 0) into 0 6.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.740 * [backup-simplify]: Simplify (- 0) into 0 6.740 * [backup-simplify]: Simplify (+ 0 0) into 0 6.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) (/ 1 b)) (* 0 1))) into (- (/ 1 (pow b 2))) 6.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* (- PI) (/ 0 1)))) into (/ PI b) 6.742 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (- (* 1/2 (/ PI b))) 6.742 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 6.742 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 6.742 * [taylor]: Taking taylor expansion of 1/2 in b 6.742 * [backup-simplify]: Simplify 1/2 into 1/2 6.742 * [taylor]: Taking taylor expansion of (/ PI b) in b 6.742 * [taylor]: Taking taylor expansion of PI in b 6.742 * [backup-simplify]: Simplify PI into PI 6.742 * [taylor]: Taking taylor expansion of b in b 6.742 * [backup-simplify]: Simplify 0 into 0 6.742 * [backup-simplify]: Simplify 1 into 1 6.743 * [backup-simplify]: Simplify (/ PI 1) into PI 6.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.745 * [backup-simplify]: Simplify (- 0) into 0 6.745 * [backup-simplify]: Simplify 0 into 0 6.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.746 * [backup-simplify]: Simplify 0 into 0 6.747 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.748 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 6.748 * [backup-simplify]: Simplify 0 into 0 6.748 * [backup-simplify]: Simplify 0 into 0 6.748 * * * [progress]: simplifying candidates 6.748 * * * * [progress]: [ 1 / 283 ] simplifiying candidate # 6.748 * * * * [progress]: [ 2 / 283 ] simplifiying candidate # 6.748 * * * * [progress]: [ 3 / 283 ] simplifiying candidate # 6.748 * * * * [progress]: [ 4 / 283 ] simplifiying candidate # 6.748 * * * * [progress]: [ 5 / 283 ] simplifiying candidate # 6.748 * * * * [progress]: [ 6 / 283 ] simplifiying candidate # 6.748 * * * * [progress]: [ 7 / 283 ] simplifiying candidate # 6.748 * * * * [progress]: [ 8 / 283 ] simplifiying candidate # 6.748 * * * * [progress]: [ 9 / 283 ] simplifiying candidate # 6.748 * * * * [progress]: [ 10 / 283 ] simplifiying candidate # 6.748 * * * * [progress]: [ 11 / 283 ] simplifiying candidate # 6.748 * * * * [progress]: [ 12 / 283 ] simplifiying candidate # 6.748 * * * * [progress]: [ 13 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 14 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 15 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 16 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 17 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 18 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 19 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 20 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 21 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 22 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 23 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 24 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 25 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 26 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 27 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 28 / 283 ] simplifiying candidate #real (real->posit16 (/ PI b)))) (+ a b)) (* (- b a) 2)))> 6.749 * * * * [progress]: [ 29 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 30 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 31 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 32 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 33 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 34 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 35 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 36 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 37 / 283 ] simplifiying candidate # 6.749 * * * * [progress]: [ 38 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 39 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 40 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 41 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 42 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 43 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 44 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 45 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 46 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 47 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 48 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 49 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 50 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 51 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 52 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 53 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 54 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 55 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 56 / 283 ] simplifiying candidate #real (real->posit16 (/ PI a))) (/ PI b)) (+ a b)) (* (- b a) 2)))> 6.750 * * * * [progress]: [ 57 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 58 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 59 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 60 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 61 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 62 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 63 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 64 / 283 ] simplifiying candidate # 6.750 * * * * [progress]: [ 65 / 283 ] simplifiying candidate # 6.751 * * * * [progress]: [ 66 / 283 ] simplifiying candidate # 6.751 * * * * [progress]: [ 67 / 283 ] simplifiying candidate # 6.751 * * * * [progress]: [ 68 / 283 ] simplifiying candidate # 6.751 * * * * [progress]: [ 69 / 283 ] simplifiying candidate # 6.751 * * * * [progress]: [ 70 / 283 ] simplifiying candidate # 6.751 * * * * [progress]: 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PI) (log b)) (log (/ PI b)) (exp (/ PI b)) (/ (* (* PI PI) PI) (* (* b b) b)) (* (cbrt (/ PI b)) (cbrt (/ PI b))) (cbrt (/ PI b)) (* (* (/ PI b) (/ PI b)) (/ PI b)) (sqrt (/ PI b)) (sqrt (/ PI b)) (- PI) (- b) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt b) (cbrt b))) (/ (cbrt PI) (cbrt b)) (/ (* (cbrt PI) (cbrt PI)) (sqrt b)) (/ (cbrt PI) (sqrt b)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) b) (/ (sqrt PI) (* (cbrt b) (cbrt b))) (/ (sqrt PI) (cbrt b)) (/ (sqrt PI) (sqrt b)) (/ (sqrt PI) (sqrt b)) (/ (sqrt PI) 1) (/ (sqrt PI) b) (/ 1 (* (cbrt b) (cbrt b))) (/ PI (cbrt b)) (/ 1 (sqrt b)) (/ PI (sqrt b)) (/ 1 1) (/ PI b) (/ 1 b) (/ b PI) (/ PI (* (cbrt b) (cbrt b))) (/ PI (sqrt b)) (/ PI 1) (/ b (cbrt PI)) (/ b (sqrt PI)) (/ b PI) (real->posit16 (/ PI b)) (- (log PI) (log a)) (log (/ PI a)) (exp (/ PI a)) (/ (* (* PI PI) PI) (* (* a a) a)) (* (cbrt (/ PI a)) (cbrt (/ PI a))) (cbrt (/ PI a)) (* (* (/ PI a) (/ PI a)) (/ PI a)) (sqrt (/ PI a)) (sqrt (/ PI a)) (- PI) (- a) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt a) (cbrt a))) (/ (cbrt PI) (cbrt a)) (/ (* (cbrt PI) (cbrt PI)) (sqrt a)) (/ (cbrt PI) (sqrt a)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) a) (/ (sqrt PI) (* (cbrt a) (cbrt a))) (/ (sqrt PI) (cbrt a)) (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) 1) (/ (sqrt PI) a) (/ 1 (* (cbrt a) (cbrt a))) (/ PI (cbrt a)) (/ 1 (sqrt a)) (/ PI (sqrt a)) (/ 1 1) (/ PI a) (/ 1 a) (/ a PI) (/ PI (* (cbrt a) (cbrt a))) (/ PI (sqrt a)) (/ PI 1) (/ a (cbrt PI)) (/ a (sqrt PI)) (/ a PI) (real->posit16 (/ PI a)) (- (log (- (/ PI a) (/ PI b))) (log (+ a b))) (log (/ (- (/ PI a) (/ PI b)) (+ a b))) (exp (/ (- (/ PI a) (/ PI b)) (+ a b))) (/ (* (* (- (/ PI a) (/ PI b)) (- (/ PI a) (/ PI b))) (- (/ PI a) (/ PI b))) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ (- (/ PI a) (/ PI b)) (+ a b))) (cbrt (/ (- (/ PI a) (/ PI b)) (+ a b)))) (cbrt (/ (- (/ PI a) (/ PI b)) (+ a b))) (* (* (/ (- (/ PI a) (/ PI b)) (+ a b)) (/ (- (/ PI a) (/ PI b)) (+ a b))) (/ (- (/ PI a) (/ PI b)) (+ a b))) (sqrt (/ (- (/ PI a) (/ PI b)) (+ a b))) (sqrt (/ (- (/ PI a) (/ PI b)) (+ a b))) (- (- (/ PI a) (/ PI b))) (- (+ a b)) (/ (/ PI a) (+ a b)) (/ (/ PI b) (+ a b)) (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (+ a b))) (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) (sqrt (+ a b))) (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (+ a b))) (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) 1) (/ (cbrt (- (/ PI a) (/ PI b))) (+ a b)) (/ (* (cbrt (- (/ PI a) (/ PI b))) (cbrt (- (/ PI a) (/ PI b)))) 1) (/ (cbrt (- (/ PI a) (/ PI b))) (+ a b)) (/ (sqrt (- (/ PI a) (/ PI b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (- (/ PI a) (/ PI b))) (cbrt (+ a b))) (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (+ a b))) (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (+ a b))) (/ (sqrt (- (/ PI a) (/ PI b))) 1) (/ (sqrt (- (/ PI a) (/ PI b))) (+ a b)) (/ (sqrt (- (/ PI a) (/ PI b))) 1) (/ (sqrt (- (/ PI a) (/ PI b))) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (- (/ PI a) (/ PI b)) (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ (- (/ PI a) (/ PI b)) (sqrt (+ a b))) (/ 1 1) (/ (- (/ PI a) (/ PI b)) (+ a b)) (/ 1 1) (/ (- (/ PI a) (/ PI b)) (+ a b)) (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (cbrt (+ a b))) (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (+ a b))) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (+ a b))) (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) 1) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (+ a b)) (/ (+ (sqrt (/ PI a)) (sqrt (/ PI b))) 1) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (+ a b)) (/ (+ (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (- (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b))) (cbrt (+ a b))) (/ (+ (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b))) (sqrt (+ a b))) (/ (- (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b))) (sqrt (+ a b))) (/ (+ (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b))) 1) (/ (- (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b))) (+ a b)) (/ (+ (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b))) 1) (/ (- (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b))) (+ a b)) (/ (+ (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (- (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b))) (cbrt (+ a b))) (/ (+ (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b))) (sqrt (+ a b))) (/ (- (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b))) (sqrt (+ a b))) (/ (+ (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b))) 1) (/ (- (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b))) (+ a b)) (/ (+ (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b))) 1) (/ (- (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b))) (+ a b)) (/ (+ (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (- (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt b))) (cbrt (+ a b))) (/ (+ (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt b))) (sqrt (+ a b))) (/ (- (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt b))) (sqrt (+ a b))) (/ (+ (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt b))) 1) (/ (- (/ (sqrt PI) (sqrt a)) (/ (sqrt 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(/ 2 (/ (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a))) (- b a))) (/ (- b a) (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) 2)) (/ (/ (- b a) 1/2) (/ (- (/ PI a) (/ PI b)) (+ b a))) (/ (/ (- b a) 1/2) (/ (- (/ PI a) (/ PI b)) (+ b a))) (* (/ (- b a) (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (+ b a))) (/ (- b a) (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) 2)) (* (/ (- b a) (/ (- (/ 1 a) (/ 1 b)) 2)) (+ b a)) (* (/ (- b a) (/ (- (/ 1 a) (/ 1 b)) 2)) (+ b a)) (/ (/ (- b a) 1/2) (/ (- (/ PI a) (/ PI b)) (+ b a))) (* (/ (- b a) 1/2) (+ b a)) (/ (/ (- b a) 1/2) (+ (* b (- b a)) (* a a))) (/ (- b a) (/ (- a b) 2)) (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- (* b (* b b)) (* a (* a a)))) (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (* (- b a) (+ b a))) (* (/ (- b a) 1/2) (+ b a)) (real->posit16 (/ (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (- b a)) 2)) (/ PI b) (/ PI b) (/ PI b) (/ PI a) (/ PI a) (/ PI a) (/ PI (* b a)) (/ (/ (- PI) b) a) (/ (/ (- PI) b) a) 0 0 0 7.595 * * * [progress]: adding candidates to table 10.495 * * [progress]: iteration 3 / 4 10.495 * * * [progress]: picking best candidate 10.524 * * * * [pick]: Picked # 10.524 * * * [progress]: localizing error 10.567 * * * [progress]: generating rewritten candidates 10.567 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2) 10.571 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 10.575 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 10.620 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 10.718 * * * [progress]: generating series expansions 10.718 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2) 10.718 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 10.718 * [approximate]: Taking taylor expansion of (/ PI b) in (b) around 0 10.718 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.718 * [taylor]: Taking taylor expansion of PI in b 10.718 * [backup-simplify]: Simplify PI into PI 10.718 * [taylor]: Taking taylor expansion of b in b 10.718 * [backup-simplify]: Simplify 0 into 0 10.718 * [backup-simplify]: Simplify 1 into 1 10.719 * [backup-simplify]: Simplify (/ PI 1) into PI 10.719 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.719 * [taylor]: Taking taylor expansion of PI in b 10.719 * [backup-simplify]: Simplify PI into PI 10.719 * [taylor]: Taking taylor expansion of b in b 10.719 * [backup-simplify]: Simplify 0 into 0 10.719 * [backup-simplify]: Simplify 1 into 1 10.720 * [backup-simplify]: Simplify (/ PI 1) into PI 10.720 * [backup-simplify]: Simplify PI into PI 10.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.721 * [backup-simplify]: Simplify 0 into 0 10.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.722 * [backup-simplify]: Simplify 0 into 0 10.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.723 * [backup-simplify]: Simplify 0 into 0 10.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.724 * [backup-simplify]: Simplify 0 into 0 10.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.725 * [backup-simplify]: Simplify 0 into 0 10.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.726 * [backup-simplify]: Simplify 0 into 0 10.726 * [backup-simplify]: Simplify (* PI (/ 1 b)) into (/ PI b) 10.726 * [backup-simplify]: Simplify (/ PI (/ 1 b)) into (* b PI) 10.727 * [approximate]: Taking taylor expansion of (* b PI) in (b) around 0 10.727 * [taylor]: Taking taylor expansion of (* b PI) in b 10.727 * [taylor]: Taking taylor expansion of b in b 10.727 * [backup-simplify]: Simplify 0 into 0 10.727 * [backup-simplify]: Simplify 1 into 1 10.727 * [taylor]: Taking taylor expansion of PI in b 10.727 * [backup-simplify]: Simplify PI into PI 10.727 * [taylor]: Taking taylor expansion of (* b PI) in b 10.727 * [taylor]: Taking taylor expansion of b in b 10.727 * [backup-simplify]: Simplify 0 into 0 10.727 * [backup-simplify]: Simplify 1 into 1 10.727 * [taylor]: Taking taylor expansion of PI in b 10.727 * [backup-simplify]: Simplify PI into PI 10.727 * [backup-simplify]: Simplify (* 0 PI) into 0 10.727 * [backup-simplify]: Simplify 0 into 0 10.729 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 10.729 * [backup-simplify]: Simplify PI into PI 10.730 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 10.730 * [backup-simplify]: Simplify 0 into 0 10.731 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 10.731 * [backup-simplify]: Simplify 0 into 0 10.732 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 10.732 * [backup-simplify]: Simplify 0 into 0 10.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 10.734 * [backup-simplify]: Simplify 0 into 0 10.736 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 10.736 * [backup-simplify]: Simplify 0 into 0 10.739 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 10.739 * [backup-simplify]: Simplify 0 into 0 10.739 * [backup-simplify]: Simplify (* PI (/ 1 b)) into (/ PI b) 10.739 * [backup-simplify]: Simplify (/ PI (/ 1 (- b))) into (* -1 (* b PI)) 10.739 * [approximate]: Taking taylor expansion of (* -1 (* b PI)) in (b) around 0 10.739 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 10.739 * [taylor]: Taking taylor expansion of -1 in b 10.739 * [backup-simplify]: Simplify -1 into -1 10.739 * [taylor]: Taking taylor expansion of (* b PI) in b 10.739 * [taylor]: Taking taylor expansion of b in b 10.739 * [backup-simplify]: Simplify 0 into 0 10.739 * [backup-simplify]: Simplify 1 into 1 10.739 * [taylor]: Taking taylor expansion of PI in b 10.739 * [backup-simplify]: Simplify PI into PI 10.739 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 10.739 * [taylor]: Taking taylor expansion of -1 in b 10.739 * [backup-simplify]: Simplify -1 into -1 10.739 * [taylor]: Taking taylor expansion of (* b PI) in b 10.739 * [taylor]: Taking taylor expansion of b in b 10.739 * [backup-simplify]: Simplify 0 into 0 10.739 * [backup-simplify]: Simplify 1 into 1 10.739 * [taylor]: Taking taylor expansion of PI in b 10.739 * [backup-simplify]: Simplify PI into PI 10.740 * [backup-simplify]: Simplify (* 0 PI) into 0 10.740 * [backup-simplify]: Simplify (* -1 0) into 0 10.740 * [backup-simplify]: Simplify 0 into 0 10.741 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 10.742 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 10.742 * [backup-simplify]: Simplify (- PI) into (- PI) 10.743 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 10.744 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 10.744 * [backup-simplify]: Simplify 0 into 0 10.744 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 10.745 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 10.745 * [backup-simplify]: Simplify 0 into 0 10.746 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 10.747 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 10.747 * [backup-simplify]: Simplify 0 into 0 10.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 10.748 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 10.749 * [backup-simplify]: Simplify 0 into 0 10.749 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 10.750 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 10.750 * [backup-simplify]: Simplify 0 into 0 10.752 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 10.753 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 10.753 * [backup-simplify]: Simplify 0 into 0 10.753 * [backup-simplify]: Simplify (* (- PI) (/ 1 (- b))) into (/ PI b) 10.753 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 10.753 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 10.753 * [approximate]: Taking taylor expansion of (/ PI a) in (a) around 0 10.753 * [taylor]: Taking taylor expansion of (/ PI a) in a 10.753 * [taylor]: Taking taylor expansion of PI in a 10.753 * [backup-simplify]: Simplify PI into PI 10.753 * [taylor]: Taking taylor expansion of a in a 10.753 * [backup-simplify]: Simplify 0 into 0 10.753 * [backup-simplify]: Simplify 1 into 1 10.754 * [backup-simplify]: Simplify (/ PI 1) into PI 10.754 * [taylor]: Taking taylor expansion of (/ PI a) in a 10.754 * [taylor]: Taking taylor expansion of PI in a 10.754 * [backup-simplify]: Simplify PI into PI 10.754 * [taylor]: Taking taylor expansion of a in a 10.754 * [backup-simplify]: Simplify 0 into 0 10.754 * [backup-simplify]: Simplify 1 into 1 10.754 * [backup-simplify]: Simplify (/ PI 1) into PI 10.754 * [backup-simplify]: Simplify PI into PI 10.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.755 * [backup-simplify]: Simplify 0 into 0 10.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.755 * [backup-simplify]: Simplify 0 into 0 10.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.756 * [backup-simplify]: Simplify 0 into 0 10.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.757 * [backup-simplify]: Simplify 0 into 0 10.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.757 * [backup-simplify]: Simplify 0 into 0 10.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.758 * [backup-simplify]: Simplify 0 into 0 10.758 * [backup-simplify]: Simplify (* PI (/ 1 a)) into (/ PI a) 10.758 * [backup-simplify]: Simplify (/ PI (/ 1 a)) into (* a PI) 10.758 * [approximate]: Taking taylor expansion of (* a PI) in (a) around 0 10.758 * [taylor]: Taking taylor expansion of (* a PI) in a 10.758 * [taylor]: Taking taylor expansion of a in a 10.758 * [backup-simplify]: Simplify 0 into 0 10.758 * [backup-simplify]: Simplify 1 into 1 10.758 * [taylor]: Taking taylor expansion of PI in a 10.758 * [backup-simplify]: Simplify PI into PI 10.758 * [taylor]: Taking taylor expansion of (* a PI) in a 10.758 * [taylor]: Taking taylor expansion of a in a 10.758 * [backup-simplify]: Simplify 0 into 0 10.758 * [backup-simplify]: Simplify 1 into 1 10.758 * [taylor]: Taking taylor expansion of PI in a 10.758 * [backup-simplify]: Simplify PI into PI 10.759 * [backup-simplify]: Simplify (* 0 PI) into 0 10.759 * [backup-simplify]: Simplify 0 into 0 10.759 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 10.759 * [backup-simplify]: Simplify PI into PI 10.760 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 10.760 * [backup-simplify]: Simplify 0 into 0 10.761 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 10.761 * [backup-simplify]: Simplify 0 into 0 10.762 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 10.762 * [backup-simplify]: Simplify 0 into 0 10.763 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 10.763 * [backup-simplify]: Simplify 0 into 0 10.764 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 10.764 * [backup-simplify]: Simplify 0 into 0 10.765 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 10.765 * [backup-simplify]: Simplify 0 into 0 10.765 * [backup-simplify]: Simplify (* PI (/ 1 a)) into (/ PI a) 10.766 * [backup-simplify]: Simplify (/ PI (/ 1 (- a))) into (* -1 (* a PI)) 10.766 * [approximate]: Taking taylor expansion of (* -1 (* a PI)) in (a) around 0 10.766 * [taylor]: Taking taylor expansion of (* -1 (* a PI)) in a 10.766 * [taylor]: Taking taylor expansion of -1 in a 10.766 * [backup-simplify]: Simplify -1 into -1 10.766 * [taylor]: Taking taylor expansion of (* a PI) in a 10.766 * [taylor]: Taking taylor expansion of a in a 10.766 * [backup-simplify]: Simplify 0 into 0 10.766 * [backup-simplify]: Simplify 1 into 1 10.766 * [taylor]: Taking taylor expansion of PI in a 10.766 * [backup-simplify]: Simplify PI into PI 10.766 * [taylor]: Taking taylor expansion of (* -1 (* a PI)) in a 10.766 * [taylor]: Taking taylor expansion of -1 in a 10.766 * [backup-simplify]: Simplify -1 into -1 10.766 * [taylor]: Taking taylor expansion of (* a PI) in a 10.766 * [taylor]: Taking taylor expansion of a in a 10.766 * [backup-simplify]: Simplify 0 into 0 10.766 * [backup-simplify]: Simplify 1 into 1 10.766 * [taylor]: Taking taylor expansion of PI in a 10.766 * [backup-simplify]: Simplify PI into PI 10.766 * [backup-simplify]: Simplify (* 0 PI) into 0 10.767 * [backup-simplify]: Simplify (* -1 0) into 0 10.767 * [backup-simplify]: Simplify 0 into 0 10.768 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 10.769 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 10.769 * [backup-simplify]: Simplify (- PI) into (- PI) 10.770 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 10.770 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 10.770 * [backup-simplify]: Simplify 0 into 0 10.771 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 10.772 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 10.772 * [backup-simplify]: Simplify 0 into 0 10.772 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 10.773 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 10.773 * [backup-simplify]: Simplify 0 into 0 10.774 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 10.775 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 10.775 * [backup-simplify]: Simplify 0 into 0 10.776 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 10.777 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 10.777 * [backup-simplify]: Simplify 0 into 0 10.778 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 10.779 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 10.779 * [backup-simplify]: Simplify 0 into 0 10.779 * [backup-simplify]: Simplify (* (- PI) (/ 1 (- a))) into (/ PI a) 10.779 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 10.779 * [backup-simplify]: Simplify (/ (- (/ PI a) (/ PI b)) (- b a)) into (/ (- (/ PI a) (/ PI b)) (- b a)) 10.779 * [approximate]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (- b a)) in (a b) around 0 10.779 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (- b a)) in b 10.779 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b 10.780 * [taylor]: Taking taylor expansion of (/ PI a) in b 10.780 * [taylor]: Taking taylor expansion of PI in b 10.780 * [backup-simplify]: Simplify PI into PI 10.780 * [taylor]: Taking taylor expansion of a in b 10.780 * [backup-simplify]: Simplify a into a 10.780 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 10.780 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.780 * [taylor]: Taking taylor expansion of PI in b 10.780 * [backup-simplify]: Simplify PI into PI 10.780 * [taylor]: Taking taylor expansion of b in b 10.780 * [backup-simplify]: Simplify 0 into 0 10.780 * [backup-simplify]: Simplify 1 into 1 10.780 * [backup-simplify]: Simplify (/ PI 1) into PI 10.780 * [taylor]: Taking taylor expansion of (- b a) in b 10.780 * [taylor]: Taking taylor expansion of b in b 10.780 * [backup-simplify]: Simplify 0 into 0 10.780 * [backup-simplify]: Simplify 1 into 1 10.780 * [taylor]: Taking taylor expansion of a in b 10.780 * [backup-simplify]: Simplify a into a 10.780 * [backup-simplify]: Simplify (- PI) into (- PI) 10.781 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 10.781 * [backup-simplify]: Simplify (- a) into (- a) 10.781 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 10.781 * [backup-simplify]: Simplify (/ (- PI) (- a)) into (/ PI a) 10.781 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (- b a)) in a 10.781 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 10.781 * [taylor]: Taking taylor expansion of (/ PI a) in a 10.781 * [taylor]: Taking taylor expansion of PI in a 10.781 * [backup-simplify]: Simplify PI into PI 10.781 * [taylor]: Taking taylor expansion of a in a 10.781 * [backup-simplify]: Simplify 0 into 0 10.781 * [backup-simplify]: Simplify 1 into 1 10.782 * [backup-simplify]: Simplify (/ PI 1) into PI 10.782 * [taylor]: Taking taylor expansion of (/ PI b) in a 10.782 * [taylor]: Taking taylor expansion of PI in a 10.782 * [backup-simplify]: Simplify PI into PI 10.782 * [taylor]: Taking taylor expansion of b in a 10.782 * [backup-simplify]: Simplify b into b 10.782 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 10.782 * [taylor]: Taking taylor expansion of (- b a) in a 10.782 * [taylor]: Taking taylor expansion of b in a 10.782 * [backup-simplify]: Simplify b into b 10.782 * [taylor]: Taking taylor expansion of a in a 10.782 * [backup-simplify]: Simplify 0 into 0 10.782 * [backup-simplify]: Simplify 1 into 1 10.782 * [backup-simplify]: Simplify (+ PI 0) into PI 10.782 * [backup-simplify]: Simplify (- 0) into 0 10.782 * [backup-simplify]: Simplify (+ b 0) into b 10.782 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 10.782 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (- b a)) in a 10.782 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 10.782 * [taylor]: Taking taylor expansion of (/ PI a) in a 10.782 * [taylor]: Taking taylor expansion of PI in a 10.783 * [backup-simplify]: Simplify PI into PI 10.783 * [taylor]: Taking taylor expansion of a in a 10.783 * [backup-simplify]: Simplify 0 into 0 10.783 * [backup-simplify]: Simplify 1 into 1 10.783 * [backup-simplify]: Simplify (/ PI 1) into PI 10.783 * [taylor]: Taking taylor expansion of (/ PI b) in a 10.783 * [taylor]: Taking taylor expansion of PI in a 10.783 * [backup-simplify]: Simplify PI into PI 10.783 * [taylor]: Taking taylor expansion of b in a 10.783 * [backup-simplify]: Simplify b into b 10.783 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 10.783 * [taylor]: Taking taylor expansion of (- b a) in a 10.783 * [taylor]: Taking taylor expansion of b in a 10.783 * [backup-simplify]: Simplify b into b 10.783 * [taylor]: Taking taylor expansion of a in a 10.783 * [backup-simplify]: Simplify 0 into 0 10.783 * [backup-simplify]: Simplify 1 into 1 10.783 * [backup-simplify]: Simplify (+ PI 0) into PI 10.784 * [backup-simplify]: Simplify (- 0) into 0 10.784 * [backup-simplify]: Simplify (+ b 0) into b 10.784 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 10.784 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.784 * [taylor]: Taking taylor expansion of PI in b 10.784 * [backup-simplify]: Simplify PI into PI 10.784 * [taylor]: Taking taylor expansion of b in b 10.784 * [backup-simplify]: Simplify 0 into 0 10.784 * [backup-simplify]: Simplify 1 into 1 10.784 * [backup-simplify]: Simplify (/ PI 1) into PI 10.784 * [backup-simplify]: Simplify PI into PI 10.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.785 * [backup-simplify]: Simplify (- (/ PI b)) into (- (/ PI b)) 10.785 * [backup-simplify]: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) 10.785 * [backup-simplify]: Simplify (- 1) into -1 10.785 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.785 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) b) (+ (* (/ PI b) (/ -1 b)))) into 0 10.785 * [taylor]: Taking taylor expansion of 0 in b 10.785 * [backup-simplify]: Simplify 0 into 0 10.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.786 * [backup-simplify]: Simplify 0 into 0 10.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.787 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 10.787 * [backup-simplify]: Simplify (- 0) into 0 10.787 * [backup-simplify]: Simplify (+ 0 0) into 0 10.787 * [backup-simplify]: Simplify (- 0) into 0 10.788 * [backup-simplify]: Simplify (+ 0 0) into 0 10.788 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ -1 b)))) into 0 10.788 * [taylor]: Taking taylor expansion of 0 in b 10.788 * [backup-simplify]: Simplify 0 into 0 10.788 * [backup-simplify]: Simplify 0 into 0 10.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.788 * [backup-simplify]: Simplify 0 into 0 10.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.789 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 10.789 * [backup-simplify]: Simplify (- 0) into 0 10.790 * [backup-simplify]: Simplify (+ 0 0) into 0 10.790 * [backup-simplify]: Simplify (- 0) into 0 10.790 * [backup-simplify]: Simplify (+ 0 0) into 0 10.790 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ -1 b)))) into 0 10.790 * [taylor]: Taking taylor expansion of 0 in b 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [backup-simplify]: Simplify 0 into 0 10.790 * [backup-simplify]: Simplify 0 into 0 10.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.791 * [backup-simplify]: Simplify 0 into 0 10.791 * [backup-simplify]: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) 10.791 * [backup-simplify]: Simplify (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (- (/ 1 b) (/ 1 a))) into (/ (- (* a PI) (* PI b)) (- (/ 1 b) (/ 1 a))) 10.791 * [approximate]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (- (/ 1 b) (/ 1 a))) in (a b) around 0 10.791 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (- (/ 1 b) (/ 1 a))) in b 10.791 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in b 10.791 * [taylor]: Taking taylor expansion of (* a PI) in b 10.791 * [taylor]: Taking taylor expansion of a in b 10.791 * [backup-simplify]: Simplify a into a 10.791 * [taylor]: Taking taylor expansion of PI in b 10.791 * [backup-simplify]: Simplify PI into PI 10.792 * [taylor]: Taking taylor expansion of (* PI b) in b 10.792 * [taylor]: Taking taylor expansion of PI in b 10.792 * [backup-simplify]: Simplify PI into PI 10.792 * [taylor]: Taking taylor expansion of b in b 10.792 * [backup-simplify]: Simplify 0 into 0 10.792 * [backup-simplify]: Simplify 1 into 1 10.792 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 10.792 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.792 * [taylor]: Taking taylor expansion of b in b 10.792 * [backup-simplify]: Simplify 0 into 0 10.792 * [backup-simplify]: Simplify 1 into 1 10.792 * [backup-simplify]: Simplify (/ 1 1) into 1 10.792 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.792 * [taylor]: Taking taylor expansion of a in b 10.792 * [backup-simplify]: Simplify a into a 10.792 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.792 * [backup-simplify]: Simplify (* a PI) into (* a PI) 10.792 * [backup-simplify]: Simplify (* PI 0) into 0 10.793 * [backup-simplify]: Simplify (- 0) into 0 10.793 * [backup-simplify]: Simplify (+ (* a PI) 0) into (* a PI) 10.793 * [backup-simplify]: Simplify (+ 1 0) into 1 10.793 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 10.793 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (- (/ 1 b) (/ 1 a))) in a 10.793 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 10.793 * [taylor]: Taking taylor expansion of (* a PI) in a 10.793 * [taylor]: Taking taylor expansion of a in a 10.793 * [backup-simplify]: Simplify 0 into 0 10.793 * [backup-simplify]: Simplify 1 into 1 10.793 * [taylor]: Taking taylor expansion of PI in a 10.793 * [backup-simplify]: Simplify PI into PI 10.793 * [taylor]: Taking taylor expansion of (* PI b) in a 10.793 * [taylor]: Taking taylor expansion of PI in a 10.793 * [backup-simplify]: Simplify PI into PI 10.793 * [taylor]: Taking taylor expansion of b in a 10.793 * [backup-simplify]: Simplify b into b 10.793 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 10.793 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.793 * [taylor]: Taking taylor expansion of b in a 10.793 * [backup-simplify]: Simplify b into b 10.793 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.793 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.793 * [taylor]: Taking taylor expansion of a in a 10.793 * [backup-simplify]: Simplify 0 into 0 10.793 * [backup-simplify]: Simplify 1 into 1 10.793 * [backup-simplify]: Simplify (/ 1 1) into 1 10.794 * [backup-simplify]: Simplify (* 0 PI) into 0 10.794 * [backup-simplify]: Simplify (* PI b) into (* b PI) 10.794 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 10.794 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 10.794 * [backup-simplify]: Simplify (- 1) into -1 10.794 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.794 * [backup-simplify]: Simplify (/ (- (* PI b)) -1) into (* b PI) 10.795 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (- (/ 1 b) (/ 1 a))) in a 10.795 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 10.795 * [taylor]: Taking taylor expansion of (* a PI) in a 10.795 * [taylor]: Taking taylor expansion of a in a 10.795 * [backup-simplify]: Simplify 0 into 0 10.795 * [backup-simplify]: Simplify 1 into 1 10.795 * [taylor]: Taking taylor expansion of PI in a 10.795 * [backup-simplify]: Simplify PI into PI 10.795 * [taylor]: Taking taylor expansion of (* PI b) in a 10.795 * [taylor]: Taking taylor expansion of PI in a 10.795 * [backup-simplify]: Simplify PI into PI 10.795 * [taylor]: Taking taylor expansion of b in a 10.795 * [backup-simplify]: Simplify b into b 10.795 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 10.795 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.795 * [taylor]: Taking taylor expansion of b in a 10.795 * [backup-simplify]: Simplify b into b 10.795 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.795 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.795 * [taylor]: Taking taylor expansion of a in a 10.795 * [backup-simplify]: Simplify 0 into 0 10.795 * [backup-simplify]: Simplify 1 into 1 10.795 * [backup-simplify]: Simplify (/ 1 1) into 1 10.795 * [backup-simplify]: Simplify (* 0 PI) into 0 10.795 * [backup-simplify]: Simplify (* PI b) into (* b PI) 10.795 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 10.796 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 10.796 * [backup-simplify]: Simplify (- 1) into -1 10.796 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.796 * [backup-simplify]: Simplify (/ (- (* PI b)) -1) into (* b PI) 10.796 * [taylor]: Taking taylor expansion of (* b PI) in b 10.796 * [taylor]: Taking taylor expansion of b in b 10.796 * [backup-simplify]: Simplify 0 into 0 10.796 * [backup-simplify]: Simplify 1 into 1 10.796 * [taylor]: Taking taylor expansion of PI in b 10.796 * [backup-simplify]: Simplify PI into PI 10.797 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 10.797 * [backup-simplify]: Simplify PI into PI 10.798 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 10.798 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 10.799 * [backup-simplify]: Simplify (- 0) into 0 10.799 * [backup-simplify]: Simplify (+ PI 0) into PI 10.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.800 * [backup-simplify]: Simplify (- 0) into 0 10.800 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 10.800 * [backup-simplify]: Simplify (- (/ PI -1) (+ (* (* b PI) (/ (/ 1 b) -1)))) into 0 10.800 * [taylor]: Taking taylor expansion of 0 in b 10.800 * [backup-simplify]: Simplify 0 into 0 10.800 * [backup-simplify]: Simplify 0 into 0 10.801 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 10.801 * [backup-simplify]: Simplify 0 into 0 10.801 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 10.802 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 10.802 * [backup-simplify]: Simplify (- 0) into 0 10.802 * [backup-simplify]: Simplify (+ 0 0) into 0 10.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.803 * [backup-simplify]: Simplify (- 0) into 0 10.803 * [backup-simplify]: Simplify (+ 0 0) into 0 10.804 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* b PI) (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 10.804 * [taylor]: Taking taylor expansion of 0 in b 10.804 * [backup-simplify]: Simplify 0 into 0 10.804 * [backup-simplify]: Simplify 0 into 0 10.804 * [backup-simplify]: Simplify 0 into 0 10.805 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 10.805 * [backup-simplify]: Simplify 0 into 0 10.805 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 10.806 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 10.806 * [backup-simplify]: Simplify (- 0) into 0 10.807 * [backup-simplify]: Simplify (+ 0 0) into 0 10.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 10.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.808 * [backup-simplify]: Simplify (- 0) into 0 10.808 * [backup-simplify]: Simplify (+ 0 0) into 0 10.809 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* b PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 10.809 * [taylor]: Taking taylor expansion of 0 in b 10.809 * [backup-simplify]: Simplify 0 into 0 10.809 * [backup-simplify]: Simplify 0 into 0 10.809 * [backup-simplify]: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) 10.809 * [backup-simplify]: Simplify (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) into (/ (- (* b PI) (* a PI)) (- (/ 1 a) (/ 1 b))) 10.809 * [approximate]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (- (/ 1 a) (/ 1 b))) in (a b) around 0 10.809 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (- (/ 1 a) (/ 1 b))) in b 10.809 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in b 10.809 * [taylor]: Taking taylor expansion of (* b PI) in b 10.809 * [taylor]: Taking taylor expansion of b in b 10.809 * [backup-simplify]: Simplify 0 into 0 10.809 * [backup-simplify]: Simplify 1 into 1 10.809 * [taylor]: Taking taylor expansion of PI in b 10.809 * [backup-simplify]: Simplify PI into PI 10.809 * [taylor]: Taking taylor expansion of (* a PI) in b 10.809 * [taylor]: Taking taylor expansion of a in b 10.809 * [backup-simplify]: Simplify a into a 10.809 * [taylor]: Taking taylor expansion of PI in b 10.809 * [backup-simplify]: Simplify PI into PI 10.809 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 10.809 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.809 * [taylor]: Taking taylor expansion of a in b 10.809 * [backup-simplify]: Simplify a into a 10.809 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.809 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.809 * [taylor]: Taking taylor expansion of b in b 10.809 * [backup-simplify]: Simplify 0 into 0 10.809 * [backup-simplify]: Simplify 1 into 1 10.810 * [backup-simplify]: Simplify (/ 1 1) into 1 10.810 * [backup-simplify]: Simplify (* 0 PI) into 0 10.810 * [backup-simplify]: Simplify (* a PI) into (* a PI) 10.810 * [backup-simplify]: Simplify (- (* a PI)) into (- (* a PI)) 10.810 * [backup-simplify]: Simplify (+ 0 (- (* a PI))) into (- (* a PI)) 10.810 * [backup-simplify]: Simplify (- 1) into -1 10.811 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.811 * [backup-simplify]: Simplify (/ (- (* a PI)) -1) into (* a PI) 10.811 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (- (/ 1 a) (/ 1 b))) in a 10.811 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 10.811 * [taylor]: Taking taylor expansion of (* b PI) in a 10.811 * [taylor]: Taking taylor expansion of b in a 10.811 * [backup-simplify]: Simplify b into b 10.811 * [taylor]: Taking taylor expansion of PI in a 10.811 * [backup-simplify]: Simplify PI into PI 10.811 * [taylor]: Taking taylor expansion of (* a PI) in a 10.811 * [taylor]: Taking taylor expansion of a in a 10.811 * [backup-simplify]: Simplify 0 into 0 10.811 * [backup-simplify]: Simplify 1 into 1 10.811 * [taylor]: Taking taylor expansion of PI in a 10.811 * [backup-simplify]: Simplify PI into PI 10.811 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 10.811 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.811 * [taylor]: Taking taylor expansion of a in a 10.811 * [backup-simplify]: Simplify 0 into 0 10.811 * [backup-simplify]: Simplify 1 into 1 10.811 * [backup-simplify]: Simplify (/ 1 1) into 1 10.811 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.811 * [taylor]: Taking taylor expansion of b in a 10.811 * [backup-simplify]: Simplify b into b 10.811 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.811 * [backup-simplify]: Simplify (* b PI) into (* PI b) 10.813 * [backup-simplify]: Simplify (* 0 PI) into 0 10.813 * [backup-simplify]: Simplify (- 0) into 0 10.813 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 10.813 * [backup-simplify]: Simplify (+ 1 0) into 1 10.813 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 10.813 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (- (/ 1 a) (/ 1 b))) in a 10.813 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 10.813 * [taylor]: Taking taylor expansion of (* b PI) in a 10.813 * [taylor]: Taking taylor expansion of b in a 10.813 * [backup-simplify]: Simplify b into b 10.813 * [taylor]: Taking taylor expansion of PI in a 10.813 * [backup-simplify]: Simplify PI into PI 10.813 * [taylor]: Taking taylor expansion of (* a PI) in a 10.813 * [taylor]: Taking taylor expansion of a in a 10.813 * [backup-simplify]: Simplify 0 into 0 10.813 * [backup-simplify]: Simplify 1 into 1 10.813 * [taylor]: Taking taylor expansion of PI in a 10.813 * [backup-simplify]: Simplify PI into PI 10.813 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 10.813 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.813 * [taylor]: Taking taylor expansion of a in a 10.814 * [backup-simplify]: Simplify 0 into 0 10.814 * [backup-simplify]: Simplify 1 into 1 10.814 * [backup-simplify]: Simplify (/ 1 1) into 1 10.814 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.814 * [taylor]: Taking taylor expansion of b in a 10.814 * [backup-simplify]: Simplify b into b 10.814 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.814 * [backup-simplify]: Simplify (* b PI) into (* PI b) 10.814 * [backup-simplify]: Simplify (* 0 PI) into 0 10.814 * [backup-simplify]: Simplify (- 0) into 0 10.814 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 10.815 * [backup-simplify]: Simplify (+ 1 0) into 1 10.815 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 10.815 * [taylor]: Taking taylor expansion of (* PI b) in b 10.815 * [taylor]: Taking taylor expansion of PI in b 10.815 * [backup-simplify]: Simplify PI into PI 10.815 * [taylor]: Taking taylor expansion of b in b 10.815 * [backup-simplify]: Simplify 0 into 0 10.815 * [backup-simplify]: Simplify 1 into 1 10.816 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 10.816 * [backup-simplify]: Simplify PI into PI 10.816 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 10.817 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 10.817 * [backup-simplify]: Simplify (- PI) into (- PI) 10.822 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 10.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.822 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 10.823 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 10.823 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ (- (/ 1 b)) 1)))) into 0 10.823 * [taylor]: Taking taylor expansion of 0 in b 10.823 * [backup-simplify]: Simplify 0 into 0 10.823 * [backup-simplify]: Simplify 0 into 0 10.824 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 10.824 * [backup-simplify]: Simplify 0 into 0 10.824 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 10.825 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 10.825 * [backup-simplify]: Simplify (- 0) into 0 10.825 * [backup-simplify]: Simplify (+ 0 0) into 0 10.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.826 * [backup-simplify]: Simplify (- 0) into 0 10.826 * [backup-simplify]: Simplify (+ 0 0) into 0 10.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 10.827 * [taylor]: Taking taylor expansion of 0 in b 10.827 * [backup-simplify]: Simplify 0 into 0 10.827 * [backup-simplify]: Simplify 0 into 0 10.827 * [backup-simplify]: Simplify 0 into 0 10.828 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.828 * [backup-simplify]: Simplify 0 into 0 10.828 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.829 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 10.829 * [backup-simplify]: Simplify (- 0) into 0 10.830 * [backup-simplify]: Simplify (+ 0 0) into 0 10.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 10.830 * [backup-simplify]: Simplify (- 0) into 0 10.831 * [backup-simplify]: Simplify (+ 0 0) into 0 10.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 10.832 * [taylor]: Taking taylor expansion of 0 in b 10.832 * [backup-simplify]: Simplify 0 into 0 10.832 * [backup-simplify]: Simplify 0 into 0 10.832 * [backup-simplify]: Simplify (* PI (* (/ 1 (- b)) (/ 1 (- a)))) into (/ PI (* a b)) 10.832 * * * * [progress]: [ 4 / 4 ] generating series at (2) 10.832 * [backup-simplify]: Simplify (* (/ (- (/ PI a) (/ PI b)) (- b a)) (/ 1/2 (+ b a))) into (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) 10.832 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in (a b) around 0 10.832 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in b 10.832 * [taylor]: Taking taylor expansion of 1/2 in b 10.832 * [backup-simplify]: Simplify 1/2 into 1/2 10.832 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in b 10.832 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b 10.832 * [taylor]: Taking taylor expansion of (/ PI a) in b 10.832 * [taylor]: Taking taylor expansion of PI in b 10.832 * [backup-simplify]: Simplify PI into PI 10.832 * [taylor]: Taking taylor expansion of a in b 10.832 * [backup-simplify]: Simplify a into a 10.832 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 10.832 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.832 * [taylor]: Taking taylor expansion of PI in b 10.832 * [backup-simplify]: Simplify PI into PI 10.832 * [taylor]: Taking taylor expansion of b in b 10.832 * [backup-simplify]: Simplify 0 into 0 10.832 * [backup-simplify]: Simplify 1 into 1 10.833 * [backup-simplify]: Simplify (/ PI 1) into PI 10.833 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 10.833 * [taylor]: Taking taylor expansion of (- b a) in b 10.833 * [taylor]: Taking taylor expansion of b in b 10.833 * [backup-simplify]: Simplify 0 into 0 10.833 * [backup-simplify]: Simplify 1 into 1 10.833 * [taylor]: Taking taylor expansion of a in b 10.833 * [backup-simplify]: Simplify a into a 10.833 * [taylor]: Taking taylor expansion of (+ a b) in b 10.833 * [taylor]: Taking taylor expansion of a in b 10.833 * [backup-simplify]: Simplify a into a 10.833 * [taylor]: Taking taylor expansion of b in b 10.833 * [backup-simplify]: Simplify 0 into 0 10.833 * [backup-simplify]: Simplify 1 into 1 10.833 * [backup-simplify]: Simplify (- PI) into (- PI) 10.834 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 10.834 * [backup-simplify]: Simplify (- a) into (- a) 10.834 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 10.834 * [backup-simplify]: Simplify (+ a 0) into a 10.834 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 10.834 * [backup-simplify]: Simplify (/ (- PI) (* -1 (pow a 2))) into (/ PI (pow a 2)) 10.834 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in a 10.834 * [taylor]: Taking taylor expansion of 1/2 in a 10.834 * [backup-simplify]: Simplify 1/2 into 1/2 10.834 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in a 10.834 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 10.834 * [taylor]: Taking taylor expansion of (/ PI a) in a 10.834 * [taylor]: Taking taylor expansion of PI in a 10.834 * [backup-simplify]: Simplify PI into PI 10.834 * [taylor]: Taking taylor expansion of a in a 10.834 * [backup-simplify]: Simplify 0 into 0 10.834 * [backup-simplify]: Simplify 1 into 1 10.834 * [backup-simplify]: Simplify (/ PI 1) into PI 10.835 * [taylor]: Taking taylor expansion of (/ PI b) in a 10.835 * [taylor]: Taking taylor expansion of PI in a 10.835 * [backup-simplify]: Simplify PI into PI 10.835 * [taylor]: Taking taylor expansion of b in a 10.835 * [backup-simplify]: Simplify b into b 10.835 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 10.835 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 10.835 * [taylor]: Taking taylor expansion of (- b a) in a 10.835 * [taylor]: Taking taylor expansion of b in a 10.835 * [backup-simplify]: Simplify b into b 10.835 * [taylor]: Taking taylor expansion of a in a 10.835 * [backup-simplify]: Simplify 0 into 0 10.835 * [backup-simplify]: Simplify 1 into 1 10.835 * [taylor]: Taking taylor expansion of (+ a b) in a 10.835 * [taylor]: Taking taylor expansion of a in a 10.835 * [backup-simplify]: Simplify 0 into 0 10.835 * [backup-simplify]: Simplify 1 into 1 10.835 * [taylor]: Taking taylor expansion of b in a 10.835 * [backup-simplify]: Simplify b into b 10.835 * [backup-simplify]: Simplify (+ PI 0) into PI 10.835 * [backup-simplify]: Simplify (- 0) into 0 10.835 * [backup-simplify]: Simplify (+ b 0) into b 10.835 * [backup-simplify]: Simplify (+ 0 b) into b 10.835 * [backup-simplify]: Simplify (* b b) into (pow b 2) 10.836 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 10.836 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in a 10.836 * [taylor]: Taking taylor expansion of 1/2 in a 10.836 * [backup-simplify]: Simplify 1/2 into 1/2 10.836 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in a 10.836 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 10.836 * [taylor]: Taking taylor expansion of (/ PI a) in a 10.836 * [taylor]: Taking taylor expansion of PI in a 10.836 * [backup-simplify]: Simplify PI into PI 10.836 * [taylor]: Taking taylor expansion of a in a 10.836 * [backup-simplify]: Simplify 0 into 0 10.836 * [backup-simplify]: Simplify 1 into 1 10.836 * [backup-simplify]: Simplify (/ PI 1) into PI 10.836 * [taylor]: Taking taylor expansion of (/ PI b) in a 10.836 * [taylor]: Taking taylor expansion of PI in a 10.836 * [backup-simplify]: Simplify PI into PI 10.836 * [taylor]: Taking taylor expansion of b in a 10.836 * [backup-simplify]: Simplify b into b 10.836 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 10.836 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 10.836 * [taylor]: Taking taylor expansion of (- b a) in a 10.836 * [taylor]: Taking taylor expansion of b in a 10.836 * [backup-simplify]: Simplify b into b 10.836 * [taylor]: Taking taylor expansion of a in a 10.836 * [backup-simplify]: Simplify 0 into 0 10.836 * [backup-simplify]: Simplify 1 into 1 10.836 * [taylor]: Taking taylor expansion of (+ a b) in a 10.836 * [taylor]: Taking taylor expansion of a in a 10.836 * [backup-simplify]: Simplify 0 into 0 10.836 * [backup-simplify]: Simplify 1 into 1 10.836 * [taylor]: Taking taylor expansion of b in a 10.836 * [backup-simplify]: Simplify b into b 10.837 * [backup-simplify]: Simplify (+ PI 0) into PI 10.837 * [backup-simplify]: Simplify (- 0) into 0 10.837 * [backup-simplify]: Simplify (+ b 0) into b 10.837 * [backup-simplify]: Simplify (+ 0 b) into b 10.837 * [backup-simplify]: Simplify (* b b) into (pow b 2) 10.837 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 10.837 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 10.837 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 10.837 * [taylor]: Taking taylor expansion of 1/2 in b 10.837 * [backup-simplify]: Simplify 1/2 into 1/2 10.837 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 10.837 * [taylor]: Taking taylor expansion of PI in b 10.837 * [backup-simplify]: Simplify PI into PI 10.837 * [taylor]: Taking taylor expansion of (pow b 2) in b 10.837 * [taylor]: Taking taylor expansion of b in b 10.837 * [backup-simplify]: Simplify 0 into 0 10.837 * [backup-simplify]: Simplify 1 into 1 10.837 * [backup-simplify]: Simplify (* 1 1) into 1 10.838 * [backup-simplify]: Simplify (/ PI 1) into PI 10.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 10.839 * [backup-simplify]: Simplify 0 into 0 10.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.840 * [backup-simplify]: Simplify (- (/ PI b)) into (- (/ PI b)) 10.840 * [backup-simplify]: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) 10.840 * [backup-simplify]: Simplify (+ 1 0) into 1 10.840 * [backup-simplify]: Simplify (- 1) into -1 10.841 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.841 * [backup-simplify]: Simplify (+ (* b 1) (* -1 b)) into 0 10.841 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into (- (/ PI (pow b 3))) 10.841 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 10.841 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 10.841 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 10.841 * [taylor]: Taking taylor expansion of 1/2 in b 10.841 * [backup-simplify]: Simplify 1/2 into 1/2 10.841 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 10.841 * [taylor]: Taking taylor expansion of PI in b 10.841 * [backup-simplify]: Simplify PI into PI 10.841 * [taylor]: Taking taylor expansion of (pow b 3) in b 10.841 * [taylor]: Taking taylor expansion of b in b 10.841 * [backup-simplify]: Simplify 0 into 0 10.841 * [backup-simplify]: Simplify 1 into 1 10.841 * [backup-simplify]: Simplify (* 1 1) into 1 10.842 * [backup-simplify]: Simplify (* 1 1) into 1 10.842 * [backup-simplify]: Simplify (/ PI 1) into PI 10.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 10.846 * [backup-simplify]: Simplify (- 0) into 0 10.846 * [backup-simplify]: Simplify 0 into 0 10.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.847 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 10.847 * [backup-simplify]: Simplify 0 into 0 10.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.848 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 10.848 * [backup-simplify]: Simplify (- 0) into 0 10.849 * [backup-simplify]: Simplify (+ 0 0) into 0 10.849 * [backup-simplify]: Simplify (+ 0 0) into 0 10.849 * [backup-simplify]: Simplify (- 0) into 0 10.849 * [backup-simplify]: Simplify (+ 0 0) into 0 10.850 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 1) (* 0 b))) into (- 1) 10.850 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ (- 1) (pow b 2))) (* (- (/ PI (pow b 3))) (/ 0 (pow b 2))))) into (/ PI (pow b 4)) 10.850 * [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))) 10.850 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 10.850 * [taylor]: Taking taylor expansion of 1/2 in b 10.850 * [backup-simplify]: Simplify 1/2 into 1/2 10.850 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 10.850 * [taylor]: Taking taylor expansion of PI in b 10.850 * [backup-simplify]: Simplify PI into PI 10.850 * [taylor]: Taking taylor expansion of (pow b 4) in b 10.850 * [taylor]: Taking taylor expansion of b in b 10.850 * [backup-simplify]: Simplify 0 into 0 10.850 * [backup-simplify]: Simplify 1 into 1 10.851 * [backup-simplify]: Simplify (* 1 1) into 1 10.851 * [backup-simplify]: Simplify (* 1 1) into 1 10.851 * [backup-simplify]: Simplify (/ PI 1) into PI 10.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.857 * [backup-simplify]: Simplify 0 into 0 10.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.859 * [backup-simplify]: Simplify (- 0) into 0 10.859 * [backup-simplify]: Simplify 0 into 0 10.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.861 * [backup-simplify]: Simplify 0 into 0 10.861 * [backup-simplify]: Simplify 0 into 0 10.861 * [backup-simplify]: Simplify (* (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (- (/ 1 b) (/ 1 a))) (/ 1/2 (+ (/ 1 b) (/ 1 a)))) into (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) 10.861 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in (a b) around 0 10.861 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in b 10.862 * [taylor]: Taking taylor expansion of 1/2 in b 10.862 * [backup-simplify]: Simplify 1/2 into 1/2 10.862 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in b 10.862 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in b 10.862 * [taylor]: Taking taylor expansion of (* a PI) in b 10.862 * [taylor]: Taking taylor expansion of a in b 10.862 * [backup-simplify]: Simplify a into a 10.862 * [taylor]: Taking taylor expansion of PI in b 10.862 * [backup-simplify]: Simplify PI into PI 10.862 * [taylor]: Taking taylor expansion of (* PI b) in b 10.862 * [taylor]: Taking taylor expansion of PI in b 10.862 * [backup-simplify]: Simplify PI into PI 10.862 * [taylor]: Taking taylor expansion of b in b 10.862 * [backup-simplify]: Simplify 0 into 0 10.862 * [backup-simplify]: Simplify 1 into 1 10.862 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in b 10.862 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 10.862 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.862 * [taylor]: Taking taylor expansion of b in b 10.862 * [backup-simplify]: Simplify 0 into 0 10.862 * [backup-simplify]: Simplify 1 into 1 10.862 * [backup-simplify]: Simplify (/ 1 1) into 1 10.862 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.862 * [taylor]: Taking taylor expansion of a in b 10.862 * [backup-simplify]: Simplify a into a 10.862 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.862 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 10.862 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.862 * [taylor]: Taking taylor expansion of b in b 10.862 * [backup-simplify]: Simplify 0 into 0 10.862 * [backup-simplify]: Simplify 1 into 1 10.862 * [backup-simplify]: Simplify (/ 1 1) into 1 10.862 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.863 * [taylor]: Taking taylor expansion of a in b 10.863 * [backup-simplify]: Simplify a into a 10.863 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.863 * [backup-simplify]: Simplify (* a PI) into (* a PI) 10.863 * [backup-simplify]: Simplify (* PI 0) into 0 10.863 * [backup-simplify]: Simplify (- 0) into 0 10.863 * [backup-simplify]: Simplify (+ (* a PI) 0) into (* a PI) 10.863 * [backup-simplify]: Simplify (+ 1 0) into 1 10.864 * [backup-simplify]: Simplify (+ 1 0) into 1 10.864 * [backup-simplify]: Simplify (* 1 1) into 1 10.864 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 10.864 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in a 10.864 * [taylor]: Taking taylor expansion of 1/2 in a 10.864 * [backup-simplify]: Simplify 1/2 into 1/2 10.864 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in a 10.864 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 10.864 * [taylor]: Taking taylor expansion of (* a PI) in a 10.864 * [taylor]: Taking taylor expansion of a in a 10.864 * [backup-simplify]: Simplify 0 into 0 10.864 * [backup-simplify]: Simplify 1 into 1 10.864 * [taylor]: Taking taylor expansion of PI in a 10.864 * [backup-simplify]: Simplify PI into PI 10.864 * [taylor]: Taking taylor expansion of (* PI b) in a 10.864 * [taylor]: Taking taylor expansion of PI in a 10.864 * [backup-simplify]: Simplify PI into PI 10.864 * [taylor]: Taking taylor expansion of b in a 10.864 * [backup-simplify]: Simplify b into b 10.864 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in a 10.864 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 10.864 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.864 * [taylor]: Taking taylor expansion of b in a 10.864 * [backup-simplify]: Simplify b into b 10.864 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.864 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.864 * [taylor]: Taking taylor expansion of a in a 10.864 * [backup-simplify]: Simplify 0 into 0 10.864 * [backup-simplify]: Simplify 1 into 1 10.865 * [backup-simplify]: Simplify (/ 1 1) into 1 10.865 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 10.865 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.865 * [taylor]: Taking taylor expansion of b in a 10.865 * [backup-simplify]: Simplify b into b 10.865 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.865 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.865 * [taylor]: Taking taylor expansion of a in a 10.865 * [backup-simplify]: Simplify 0 into 0 10.865 * [backup-simplify]: Simplify 1 into 1 10.865 * [backup-simplify]: Simplify (/ 1 1) into 1 10.865 * [backup-simplify]: Simplify (* 0 PI) into 0 10.865 * [backup-simplify]: Simplify (* PI b) into (* b PI) 10.865 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 10.865 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 10.866 * [backup-simplify]: Simplify (- 1) into -1 10.866 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.866 * [backup-simplify]: Simplify (+ 0 1) into 1 10.866 * [backup-simplify]: Simplify (* -1 1) into -1 10.867 * [backup-simplify]: Simplify (/ (- (* PI b)) -1) into (* b PI) 10.867 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in a 10.867 * [taylor]: Taking taylor expansion of 1/2 in a 10.867 * [backup-simplify]: Simplify 1/2 into 1/2 10.867 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in a 10.867 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 10.867 * [taylor]: Taking taylor expansion of (* a PI) in a 10.867 * [taylor]: Taking taylor expansion of a in a 10.867 * [backup-simplify]: Simplify 0 into 0 10.867 * [backup-simplify]: Simplify 1 into 1 10.867 * [taylor]: Taking taylor expansion of PI in a 10.867 * [backup-simplify]: Simplify PI into PI 10.867 * [taylor]: Taking taylor expansion of (* PI b) in a 10.867 * [taylor]: Taking taylor expansion of PI in a 10.867 * [backup-simplify]: Simplify PI into PI 10.867 * [taylor]: Taking taylor expansion of b in a 10.867 * [backup-simplify]: Simplify b into b 10.867 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in a 10.867 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 10.867 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.867 * [taylor]: Taking taylor expansion of b in a 10.867 * [backup-simplify]: Simplify b into b 10.867 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.867 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.867 * [taylor]: Taking taylor expansion of a in a 10.867 * [backup-simplify]: Simplify 0 into 0 10.867 * [backup-simplify]: Simplify 1 into 1 10.867 * [backup-simplify]: Simplify (/ 1 1) into 1 10.867 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 10.867 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.867 * [taylor]: Taking taylor expansion of b in a 10.867 * [backup-simplify]: Simplify b into b 10.867 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.867 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.867 * [taylor]: Taking taylor expansion of a in a 10.867 * [backup-simplify]: Simplify 0 into 0 10.867 * [backup-simplify]: Simplify 1 into 1 10.868 * [backup-simplify]: Simplify (/ 1 1) into 1 10.868 * [backup-simplify]: Simplify (* 0 PI) into 0 10.868 * [backup-simplify]: Simplify (* PI b) into (* b PI) 10.868 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 10.868 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 10.868 * [backup-simplify]: Simplify (- 1) into -1 10.869 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.869 * [backup-simplify]: Simplify (+ 0 1) into 1 10.869 * [backup-simplify]: Simplify (* -1 1) into -1 10.869 * [backup-simplify]: Simplify (/ (- (* PI b)) -1) into (* b PI) 10.869 * [backup-simplify]: Simplify (* 1/2 (* b PI)) into (* 1/2 (* b PI)) 10.869 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 10.870 * [taylor]: Taking taylor expansion of 1/2 in b 10.870 * [backup-simplify]: Simplify 1/2 into 1/2 10.870 * [taylor]: Taking taylor expansion of (* b PI) in b 10.870 * [taylor]: Taking taylor expansion of b in b 10.870 * [backup-simplify]: Simplify 0 into 0 10.870 * [backup-simplify]: Simplify 1 into 1 10.870 * [taylor]: Taking taylor expansion of PI in b 10.870 * [backup-simplify]: Simplify PI into PI 10.870 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 10.871 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 10.871 * [backup-simplify]: Simplify (* 0 PI) into 0 10.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 10.873 * [backup-simplify]: Simplify 0 into 0 10.875 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 10.875 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 10.876 * [backup-simplify]: Simplify (- 0) into 0 10.876 * [backup-simplify]: Simplify (+ PI 0) into PI 10.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.877 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 10.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.878 * [backup-simplify]: Simplify (- 0) into 0 10.878 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 10.879 * [backup-simplify]: Simplify (+ (* -1 (/ 1 b)) (* (/ 1 b) 1)) into 0 10.880 * [backup-simplify]: Simplify (- (/ PI -1) (+ (* (* b PI) (/ 0 -1)))) into (- PI) 10.881 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* b PI))) into (- (* 1/2 PI)) 10.881 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 10.881 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 10.881 * [taylor]: Taking taylor expansion of 1/2 in b 10.881 * [backup-simplify]: Simplify 1/2 into 1/2 10.881 * [taylor]: Taking taylor expansion of PI in b 10.881 * [backup-simplify]: Simplify PI into PI 10.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 10.882 * [backup-simplify]: Simplify (- 0) into 0 10.882 * [backup-simplify]: Simplify 0 into 0 10.883 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 10.885 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 10.885 * [backup-simplify]: Simplify 0 into 0 10.886 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 10.887 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 10.887 * [backup-simplify]: Simplify (- 0) into 0 10.887 * [backup-simplify]: Simplify (+ 0 0) into 0 10.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.889 * [backup-simplify]: Simplify (+ 0 0) into 0 10.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.890 * [backup-simplify]: Simplify (- 0) into 0 10.891 * [backup-simplify]: Simplify (+ 0 0) into 0 10.892 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 10.893 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* b PI) (/ (/ 1 (pow b 2)) -1)) (* (- PI) (/ 0 -1)))) into (/ PI b) 10.894 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* b PI)))) into (* 1/2 (/ PI b)) 10.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 10.894 * [taylor]: Taking taylor expansion of 1/2 in b 10.894 * [backup-simplify]: Simplify 1/2 into 1/2 10.894 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.894 * [taylor]: Taking taylor expansion of PI in b 10.894 * [backup-simplify]: Simplify PI into PI 10.894 * [taylor]: Taking taylor expansion of b in b 10.894 * [backup-simplify]: Simplify 0 into 0 10.894 * [backup-simplify]: Simplify 1 into 1 10.895 * [backup-simplify]: Simplify (/ PI 1) into PI 10.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.899 * [backup-simplify]: Simplify 0 into 0 10.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.901 * [backup-simplify]: Simplify (- 0) into 0 10.901 * [backup-simplify]: Simplify 0 into 0 10.902 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 10.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 10.904 * [backup-simplify]: Simplify 0 into 0 10.904 * [backup-simplify]: Simplify 0 into 0 10.905 * [backup-simplify]: Simplify (* (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (/ 1/2 (+ (/ 1 (- b)) (/ 1 (- a))))) into (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) 10.905 * [approximate]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in (a b) around 0 10.905 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in b 10.905 * [taylor]: Taking taylor expansion of -1/2 in b 10.905 * [backup-simplify]: Simplify -1/2 into -1/2 10.905 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) in b 10.905 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in b 10.905 * [taylor]: Taking taylor expansion of (* b PI) in b 10.905 * [taylor]: Taking taylor expansion of b in b 10.905 * [backup-simplify]: Simplify 0 into 0 10.905 * [backup-simplify]: Simplify 1 into 1 10.905 * [taylor]: Taking taylor expansion of PI in b 10.905 * [backup-simplify]: Simplify PI into PI 10.905 * [taylor]: Taking taylor expansion of (* a PI) in b 10.905 * [taylor]: Taking taylor expansion of a in b 10.905 * [backup-simplify]: Simplify a into a 10.905 * [taylor]: Taking taylor expansion of PI in b 10.905 * [backup-simplify]: Simplify PI into PI 10.905 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in b 10.905 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 10.906 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.906 * [taylor]: Taking taylor expansion of a in b 10.906 * [backup-simplify]: Simplify a into a 10.906 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.906 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.906 * [taylor]: Taking taylor expansion of b in b 10.906 * [backup-simplify]: Simplify 0 into 0 10.906 * [backup-simplify]: Simplify 1 into 1 10.906 * [backup-simplify]: Simplify (/ 1 1) into 1 10.906 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 10.906 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.906 * [taylor]: Taking taylor expansion of b in b 10.906 * [backup-simplify]: Simplify 0 into 0 10.906 * [backup-simplify]: Simplify 1 into 1 10.907 * [backup-simplify]: Simplify (/ 1 1) into 1 10.907 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.907 * [taylor]: Taking taylor expansion of a in b 10.907 * [backup-simplify]: Simplify a into a 10.907 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.907 * [backup-simplify]: Simplify (* 0 PI) into 0 10.907 * [backup-simplify]: Simplify (* a PI) into (* a PI) 10.908 * [backup-simplify]: Simplify (- (* a PI)) into (- (* a PI)) 10.908 * [backup-simplify]: Simplify (+ 0 (- (* a PI))) into (- (* a PI)) 10.908 * [backup-simplify]: Simplify (- 1) into -1 10.909 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.909 * [backup-simplify]: Simplify (+ 1 0) into 1 10.909 * [backup-simplify]: Simplify (* -1 1) into -1 10.910 * [backup-simplify]: Simplify (/ (- (* a PI)) -1) into (* a PI) 10.910 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in a 10.910 * [taylor]: Taking taylor expansion of -1/2 in a 10.910 * [backup-simplify]: Simplify -1/2 into -1/2 10.910 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) in a 10.910 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 10.910 * [taylor]: Taking taylor expansion of (* b PI) in a 10.910 * [taylor]: Taking taylor expansion of b in a 10.910 * [backup-simplify]: Simplify b into b 10.910 * [taylor]: Taking taylor expansion of PI in a 10.910 * [backup-simplify]: Simplify PI into PI 10.910 * [taylor]: Taking taylor expansion of (* a PI) in a 10.910 * [taylor]: Taking taylor expansion of a in a 10.910 * [backup-simplify]: Simplify 0 into 0 10.910 * [backup-simplify]: Simplify 1 into 1 10.910 * [taylor]: Taking taylor expansion of PI in a 10.910 * [backup-simplify]: Simplify PI into PI 10.910 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in a 10.910 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 10.910 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.910 * [taylor]: Taking taylor expansion of a in a 10.910 * [backup-simplify]: Simplify 0 into 0 10.910 * [backup-simplify]: Simplify 1 into 1 10.911 * [backup-simplify]: Simplify (/ 1 1) into 1 10.911 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.911 * [taylor]: Taking taylor expansion of b in a 10.911 * [backup-simplify]: Simplify b into b 10.911 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.911 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 10.911 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.911 * [taylor]: Taking taylor expansion of b in a 10.911 * [backup-simplify]: Simplify b into b 10.911 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.911 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.911 * [taylor]: Taking taylor expansion of a in a 10.911 * [backup-simplify]: Simplify 0 into 0 10.911 * [backup-simplify]: Simplify 1 into 1 10.911 * [backup-simplify]: Simplify (/ 1 1) into 1 10.912 * [backup-simplify]: Simplify (* b PI) into (* PI b) 10.912 * [backup-simplify]: Simplify (* 0 PI) into 0 10.912 * [backup-simplify]: Simplify (- 0) into 0 10.913 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 10.913 * [backup-simplify]: Simplify (+ 1 0) into 1 10.913 * [backup-simplify]: Simplify (+ 0 1) into 1 10.914 * [backup-simplify]: Simplify (* 1 1) into 1 10.914 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 10.914 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in a 10.914 * [taylor]: Taking taylor expansion of -1/2 in a 10.914 * [backup-simplify]: Simplify -1/2 into -1/2 10.914 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) in a 10.914 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 10.914 * [taylor]: Taking taylor expansion of (* b PI) in a 10.914 * [taylor]: Taking taylor expansion of b in a 10.914 * [backup-simplify]: Simplify b into b 10.914 * [taylor]: Taking taylor expansion of PI in a 10.914 * [backup-simplify]: Simplify PI into PI 10.914 * [taylor]: Taking taylor expansion of (* a PI) in a 10.914 * [taylor]: Taking taylor expansion of a in a 10.914 * [backup-simplify]: Simplify 0 into 0 10.914 * [backup-simplify]: Simplify 1 into 1 10.914 * [taylor]: Taking taylor expansion of PI in a 10.914 * [backup-simplify]: Simplify PI into PI 10.914 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in a 10.914 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 10.914 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.914 * [taylor]: Taking taylor expansion of a in a 10.914 * [backup-simplify]: Simplify 0 into 0 10.915 * [backup-simplify]: Simplify 1 into 1 10.915 * [backup-simplify]: Simplify (/ 1 1) into 1 10.915 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.915 * [taylor]: Taking taylor expansion of b in a 10.915 * [backup-simplify]: Simplify b into b 10.915 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.915 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 10.915 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.915 * [taylor]: Taking taylor expansion of b in a 10.915 * [backup-simplify]: Simplify b into b 10.915 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.915 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.915 * [taylor]: Taking taylor expansion of a in a 10.915 * [backup-simplify]: Simplify 0 into 0 10.915 * [backup-simplify]: Simplify 1 into 1 10.916 * [backup-simplify]: Simplify (/ 1 1) into 1 10.916 * [backup-simplify]: Simplify (* b PI) into (* PI b) 10.916 * [backup-simplify]: Simplify (* 0 PI) into 0 10.917 * [backup-simplify]: Simplify (- 0) into 0 10.917 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 10.917 * [backup-simplify]: Simplify (+ 1 0) into 1 10.918 * [backup-simplify]: Simplify (+ 0 1) into 1 10.918 * [backup-simplify]: Simplify (* 1 1) into 1 10.918 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 10.918 * [backup-simplify]: Simplify (* -1/2 (* PI b)) into (* -1/2 (* PI b)) 10.918 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 10.918 * [taylor]: Taking taylor expansion of -1/2 in b 10.918 * [backup-simplify]: Simplify -1/2 into -1/2 10.918 * [taylor]: Taking taylor expansion of (* PI b) in b 10.918 * [taylor]: Taking taylor expansion of PI in b 10.918 * [backup-simplify]: Simplify PI into PI 10.918 * [taylor]: Taking taylor expansion of b in b 10.918 * [backup-simplify]: Simplify 0 into 0 10.918 * [backup-simplify]: Simplify 1 into 1 10.919 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 10.921 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 10.921 * [backup-simplify]: Simplify (* PI 0) into 0 10.922 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 10.922 * [backup-simplify]: Simplify 0 into 0 10.923 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 10.924 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 10.925 * [backup-simplify]: Simplify (- PI) into (- PI) 10.926 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 10.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.926 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 10.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.927 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 10.927 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 10.927 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (- (/ 1 b)) 1)) into 0 10.929 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ 0 1)))) into (- PI) 10.930 * [backup-simplify]: Simplify (+ (* -1/2 (- PI)) (* 0 (* PI b))) into (* 1/2 PI) 10.930 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 10.930 * [taylor]: Taking taylor expansion of 1/2 in b 10.930 * [backup-simplify]: Simplify 1/2 into 1/2 10.930 * [taylor]: Taking taylor expansion of PI in b 10.930 * [backup-simplify]: Simplify PI into PI 10.931 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 10.931 * [backup-simplify]: Simplify 0 into 0 10.932 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.934 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 10.934 * [backup-simplify]: Simplify 0 into 0 10.939 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 10.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 10.941 * [backup-simplify]: Simplify (- 0) into 0 10.941 * [backup-simplify]: Simplify (+ 0 0) into 0 10.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.942 * [backup-simplify]: Simplify (+ 0 0) into 0 10.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.944 * [backup-simplify]: Simplify (- 0) into 0 10.944 * [backup-simplify]: Simplify (+ 0 0) into 0 10.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) (/ 1 b)) (* 0 1))) into (- (/ 1 (pow b 2))) 10.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* (- PI) (/ 0 1)))) into (/ PI b) 10.947 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (- (* 1/2 (/ PI b))) 10.947 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 10.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 10.947 * [taylor]: Taking taylor expansion of 1/2 in b 10.947 * [backup-simplify]: Simplify 1/2 into 1/2 10.947 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.947 * [taylor]: Taking taylor expansion of PI in b 10.947 * [backup-simplify]: Simplify PI into PI 10.947 * [taylor]: Taking taylor expansion of b in b 10.947 * [backup-simplify]: Simplify 0 into 0 10.947 * [backup-simplify]: Simplify 1 into 1 10.948 * [backup-simplify]: Simplify (/ PI 1) into PI 10.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.953 * [backup-simplify]: Simplify (- 0) into 0 10.953 * [backup-simplify]: Simplify 0 into 0 10.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.954 * [backup-simplify]: Simplify 0 into 0 10.955 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.956 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 10.956 * [backup-simplify]: Simplify 0 into 0 10.956 * [backup-simplify]: Simplify 0 into 0 10.956 * * * [progress]: simplifying candidates 10.957 * * * * [progress]: [ 1 / 273 ] simplifiying candidate # 10.957 * * * * [progress]: [ 2 / 273 ] simplifiying candidate # 10.957 * * * * [progress]: [ 3 / 273 ] simplifiying candidate # 10.957 * * * * [progress]: [ 4 / 273 ] simplifiying candidate # 10.957 * * * * [progress]: [ 5 / 273 ] simplifiying candidate # 10.957 * * * * [progress]: [ 6 / 273 ] simplifiying candidate # 10.957 * * * * [progress]: [ 7 / 273 ] 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(sqrt (/ 1/2 (+ b a)))) (* (/ (sqrt 1/2) (sqrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) (- b a)))) (* (/ (sqrt 1/2) (sqrt (+ b a))) (sqrt (/ (- (/ PI a) (/ PI b)) (- b a)))) (/ (* (sqrt (/ 1/2 (+ b a))) (sqrt (- (/ PI a) (/ PI b)))) (sqrt (- b a))) (/ (* (sqrt (/ 1/2 (+ b a))) (sqrt (- (/ PI a) (/ PI b)))) (sqrt (- b a))) (* (/ (sqrt 1/2) (sqrt (+ b a))) (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (- b a)))) (* (/ (sqrt 1/2) (sqrt (+ b a))) (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (- b a)))) (* (cbrt (/ 1/2 (+ b a))) (* (/ (- (/ PI a) (/ PI b)) (- b a)) (cbrt (/ 1/2 (+ b a))))) (* (sqrt (/ 1/2 (+ b a))) (/ (- (/ PI a) (/ PI b)) (- b a))) (* (* (/ (- (/ PI a) (/ PI b)) (- b a)) (/ (cbrt 1/2) (cbrt (+ b a)))) (/ (cbrt 1/2) (cbrt (+ b a)))) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (/ (sqrt (+ b a)) (* (cbrt 1/2) (cbrt 1/2)))) (/ (* (- (/ PI a) (/ PI b)) (* (cbrt 1/2) (cbrt 1/2))) (- b a)) (/ (* (- (/ PI a) (/ PI b)) (* (cbrt 1/2) (cbrt 1/2))) (- b a)) (/ (* (sqrt 1/2) (/ (- (/ PI a) (/ PI b)) (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (/ (sqrt (+ b a)) (sqrt 1/2))) (* (sqrt 1/2) (/ (- (/ PI a) (/ PI b)) (- b a))) (* (sqrt 1/2) (/ (- (/ PI a) (/ PI b)) (- b a))) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (sqrt (+ b a))) (/ (- (/ PI a) (/ PI b)) (- b a)) (/ (- (/ PI a) (/ PI b)) (- b a)) (/ (- (/ PI a) (/ PI b)) (- b a)) (* (/ (- (/ PI a) (/ PI b)) (- b a)) 1/2) (* (/ 1/2 (+ (* b (* b b)) (* a (* a a)))) (/ (- (/ PI a) (/ PI b)) (- b a))) (* (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (+ b a)) (/ 1/2 (- b a))) (/ (* 1/2 (cbrt (/ (- (/ PI a) (/ PI b)) (- b a)))) (+ b a)) (* (/ 1/2 (+ b a)) (sqrt (/ (- (/ PI a) (/ PI b)) (- b a)))) (* (/ 1/2 (+ b a)) (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (- b a)))) (/ (/ (* (cbrt (- (/ PI a) (/ PI b))) 1/2) (+ b a)) (sqrt (- b a))) (/ (/ (* (cbrt (- (/ PI a) (/ PI b))) 1/2) (+ b a)) (- b a)) (* (/ (cbrt (- (/ PI a) (/ PI b))) (- (sqrt b) (sqrt a))) (/ 1/2 (+ b a))) (/ (/ (* (cbrt (- (/ PI a) (/ PI b))) 1/2) (+ b a)) (- b a)) (/ (* 1/2 (/ (sqrt (- (/ PI a) (/ PI b))) (cbrt (- b a)))) (+ b a)) (/ (* (/ 1/2 (+ b a)) (sqrt (- (/ PI a) (/ PI b)))) (sqrt (- b a))) (/ (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) (/ (+ b a) 1/2)) (* (/ (sqrt (- (/ PI a) (/ PI b))) (- (sqrt b) (sqrt a))) (/ 1/2 (+ b a))) (/ (/ (sqrt (- (/ PI a) (/ PI b))) (- b a)) (/ (+ b a) 1/2)) (/ (* (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) 1/2) (+ b a)) (/ (* (/ 1/2 (+ b a)) (- (/ PI a) (/ PI b))) (sqrt (- b a))) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (/ (+ b a) 1/2)) (/ (- (/ PI a) (/ PI b)) (/ (- (sqrt b) (sqrt a)) (/ 1/2 (+ b a)))) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (/ (+ b a) 1/2)) (/ (/ (* (- (sqrt (/ PI a)) (sqrt (/ PI b))) 1/2) (+ b a)) (cbrt (- b a))) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (/ (sqrt (- b a)) (/ 1/2 (+ b a)))) (/ (/ (* (- (sqrt (/ PI a)) (sqrt (/ PI b))) 1/2) (+ b a)) (- b a)) (/ (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (- (sqrt b) (sqrt a))) (/ (+ b a) 1/2)) (/ (/ (* (- (sqrt (/ PI a)) (sqrt (/ PI b))) 1/2) (+ b a)) (- b a)) (/ (* (/ 1/2 (+ b a)) (- (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b)))) (cbrt (- b a))) (/ (* (/ 1/2 (+ b a)) (- (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b)))) (sqrt (- b a))) (* (/ (- (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b))) (- b a)) (/ 1/2 (+ b a))) (/ (* (/ 1/2 (+ b a)) (- (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b)))) (- (sqrt b) (sqrt a))) (* (/ (- (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b))) (- b a)) (/ 1/2 (+ b a))) (/ (* (/ 1/2 (+ b a)) (- (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b)))) (cbrt (- b a))) (/ (/ (- (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b))) (sqrt (- b a))) (/ (+ b a) 1/2)) (/ (- (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b))) (/ (- b a) (/ 1/2 (+ b a)))) (* (/ 1/2 (+ b a)) (/ (- (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b))) (- (sqrt b) (sqrt a)))) (/ (- (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b))) (/ (- b a) (/ 1/2 (+ b a)))) (/ (/ (- (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt b))) (cbrt (- b a))) (/ (+ b a) 1/2)) (* (/ (- (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt b))) (sqrt (- b a))) (/ 1/2 (+ b a))) (/ (* (/ 1/2 (+ b a)) (- (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt b)))) (- b a)) (* (/ 1/2 (+ b a)) (/ (- (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt b))) (- (sqrt b) (sqrt a)))) (/ (* (/ 1/2 (+ b a)) (- (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt b)))) (- b a)) (/ (/ (- (/ (cbrt PI) a) (/ (cbrt PI) b)) (cbrt (- b a))) (/ (+ b a) 1/2)) (/ (/ (* (- (/ (cbrt PI) a) (/ (cbrt PI) b)) 1/2) (sqrt (- b a))) (+ b a)) (/ (/ (* (- (/ (cbrt PI) a) (/ (cbrt PI) b)) 1/2) (+ b a)) (- b a)) (/ (* (/ (- (/ (cbrt PI) a) (/ (cbrt PI) b)) (- (sqrt b) (sqrt a))) 1/2) (+ b a)) (/ (/ (* (- (/ (cbrt PI) a) (/ (cbrt PI) b)) 1/2) (+ b a)) (- b a)) (/ (/ (- (/ (sqrt PI) a) (/ (sqrt PI) b)) (cbrt (- b a))) (/ (+ b a) 1/2)) (* (/ (- (/ (sqrt PI) a) (/ (sqrt PI) b)) (sqrt (- b a))) (/ 1/2 (+ b a))) (/ (/ (* (- (/ (sqrt PI) a) (/ (sqrt PI) b)) 1/2) (+ b a)) (- b a)) (* (/ 1/2 (+ b a)) (/ (- (/ (sqrt PI) a) (/ (sqrt PI) b)) (- (sqrt b) (sqrt a)))) (/ (/ (* (- (/ (sqrt PI) a) (/ (sqrt PI) b)) 1/2) (+ b a)) (- b a)) (/ (* (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) 1/2) (+ b a)) (/ (* (/ 1/2 (+ b a)) (- (/ PI a) (/ PI b))) (sqrt (- b a))) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (/ (+ b a) 1/2)) (/ (- (/ PI a) (/ PI b)) (/ (- (sqrt b) (sqrt a)) (/ 1/2 (+ b a)))) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (/ (+ b a) 1/2)) (/ (* (/ (- (/ PI a) (/ PI b)) (cbrt (- b a))) 1/2) (+ b a)) (/ (* (/ 1/2 (+ b a)) (- (/ PI a) (/ PI b))) (sqrt (- b a))) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (/ (+ b a) 1/2)) (/ (- (/ PI a) (/ PI b)) (/ (- (sqrt b) (sqrt a)) (/ 1/2 (+ b a)))) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (/ (+ b a) 1/2)) (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (- b a))) (/ (+ b a) 1/2)) (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (- b a))) (/ (+ b a) 1/2)) (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ 1/2 (+ b a)))) (/ (- (/ 1 a) (/ 1 b)) (/ (- (sqrt b) (sqrt a)) (/ 1/2 (+ b a)))) (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ 1/2 (+ b a)))) (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (/ (+ b a) 1/2)) (/ 1/2 (- (* b b) (* a a))) (* (+ (* b b) (* a (+ b a))) (/ 1/2 (+ b a))) (/ (+ b a) (/ (+ b a) 1/2)) (* (/ (- (/ PI a) (/ PI b)) (- b a)) 1/2) (/ (* (- (/ PI a) (/ PI b)) 1/2) (+ b a)) (real->posit16 (/ (/ (- (/ PI a) (/ PI b)) (- b a)) (/ (+ b a) 1/2))) (/ PI b) (/ PI b) (/ PI b) (/ PI a) (/ PI a) (/ PI a) (/ PI (* b a)) (/ PI (* b a)) (/ PI (* b a)) 0 0 0 12.215 * * * [progress]: adding candidates to table 15.133 * * [progress]: iteration 4 / 4 15.133 * * * [progress]: picking best candidate 15.156 * * * * [pick]: Picked # 15.157 * * * [progress]: localizing error 15.206 * * * [progress]: generating rewritten candidates 15.206 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 15.221 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 15.279 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 15.421 * * * [progress]: generating series expansions 15.421 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 15.421 * [backup-simplify]: Simplify (/ PI (- b a)) into (/ PI (- b a)) 15.421 * [approximate]: Taking taylor expansion of (/ PI (- b a)) in (b a) around 0 15.421 * [taylor]: Taking taylor expansion of (/ PI (- b a)) in a 15.421 * [taylor]: Taking taylor expansion of PI in a 15.421 * [backup-simplify]: Simplify PI into PI 15.421 * [taylor]: Taking taylor expansion of (- b a) in a 15.421 * [taylor]: Taking taylor expansion of b in a 15.421 * [backup-simplify]: Simplify b into b 15.421 * [taylor]: Taking taylor expansion of a in a 15.421 * [backup-simplify]: Simplify 0 into 0 15.421 * [backup-simplify]: Simplify 1 into 1 15.422 * [backup-simplify]: Simplify (- 0) into 0 15.422 * [backup-simplify]: Simplify (+ b 0) into b 15.422 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 15.422 * [taylor]: Taking taylor expansion of (/ PI (- b a)) in b 15.422 * [taylor]: Taking taylor expansion of PI in b 15.422 * [backup-simplify]: Simplify PI into PI 15.422 * [taylor]: Taking taylor expansion of (- b a) in b 15.422 * [taylor]: Taking taylor expansion of b in b 15.422 * [backup-simplify]: Simplify 0 into 0 15.422 * [backup-simplify]: Simplify 1 into 1 15.422 * [taylor]: Taking taylor expansion of a in b 15.422 * [backup-simplify]: Simplify a into a 15.422 * [backup-simplify]: Simplify (- a) into (- a) 15.422 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 15.422 * [backup-simplify]: Simplify (/ PI (- a)) into (* -1 (/ PI a)) 15.422 * [taylor]: Taking taylor expansion of (/ PI (- b a)) in b 15.422 * [taylor]: Taking taylor expansion of PI in b 15.422 * [backup-simplify]: Simplify PI into PI 15.422 * [taylor]: Taking taylor expansion of (- b a) in b 15.422 * [taylor]: Taking taylor expansion of b in b 15.422 * [backup-simplify]: Simplify 0 into 0 15.422 * [backup-simplify]: Simplify 1 into 1 15.422 * [taylor]: Taking taylor expansion of a in b 15.422 * [backup-simplify]: Simplify a into a 15.422 * [backup-simplify]: Simplify (- a) into (- a) 15.422 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 15.422 * [backup-simplify]: Simplify (/ PI (- a)) into (* -1 (/ PI a)) 15.422 * [taylor]: Taking taylor expansion of (* -1 (/ PI a)) in a 15.422 * [taylor]: Taking taylor expansion of -1 in a 15.422 * [backup-simplify]: Simplify -1 into -1 15.422 * [taylor]: Taking taylor expansion of (/ PI a) in a 15.422 * [taylor]: Taking taylor expansion of PI in a 15.422 * [backup-simplify]: Simplify PI into PI 15.422 * [taylor]: Taking taylor expansion of a in a 15.422 * [backup-simplify]: Simplify 0 into 0 15.422 * [backup-simplify]: Simplify 1 into 1 15.423 * [backup-simplify]: Simplify (/ PI 1) into PI 15.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.424 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 15.424 * [backup-simplify]: Simplify 0 into 0 15.424 * [backup-simplify]: Simplify (- 0) into 0 15.424 * [backup-simplify]: Simplify (+ 1 0) into 1 15.424 * [backup-simplify]: Simplify (- (/ 0 (- a)) (+ (* (* -1 (/ PI a)) (/ 1 (- a))))) into (- (/ PI (pow a 2))) 15.424 * [taylor]: Taking taylor expansion of (- (/ PI (pow a 2))) in a 15.424 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 15.424 * [taylor]: Taking taylor expansion of PI in a 15.424 * [backup-simplify]: Simplify PI into PI 15.424 * [taylor]: Taking taylor expansion of (pow a 2) in a 15.425 * [taylor]: Taking taylor expansion of a in a 15.425 * [backup-simplify]: Simplify 0 into 0 15.425 * [backup-simplify]: Simplify 1 into 1 15.425 * [backup-simplify]: Simplify (* 1 1) into 1 15.425 * [backup-simplify]: Simplify (/ PI 1) into PI 15.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.427 * [backup-simplify]: Simplify (- 0) into 0 15.427 * [backup-simplify]: Simplify 0 into 0 15.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.429 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 15.429 * [backup-simplify]: Simplify 0 into 0 15.429 * [backup-simplify]: Simplify (- 0) into 0 15.429 * [backup-simplify]: Simplify (+ 0 0) into 0 15.429 * [backup-simplify]: Simplify (- (/ 0 (- a)) (+ (* (* -1 (/ PI a)) (/ 0 (- a))) (* (- (/ PI (pow a 2))) (/ 1 (- a))))) into (- (/ PI (pow a 3))) 15.429 * [taylor]: Taking taylor expansion of (- (/ PI (pow a 3))) in a 15.429 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 15.429 * [taylor]: Taking taylor expansion of PI in a 15.429 * [backup-simplify]: Simplify PI into PI 15.429 * [taylor]: Taking taylor expansion of (pow a 3) in a 15.429 * [taylor]: Taking taylor expansion of a in a 15.429 * [backup-simplify]: Simplify 0 into 0 15.429 * [backup-simplify]: Simplify 1 into 1 15.430 * [backup-simplify]: Simplify (* 1 1) into 1 15.430 * [backup-simplify]: Simplify (* 1 1) into 1 15.430 * [backup-simplify]: Simplify (/ PI 1) into PI 15.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.435 * [backup-simplify]: Simplify (- 0) into 0 15.435 * [backup-simplify]: Simplify 0 into 0 15.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.437 * [backup-simplify]: Simplify (- 0) into 0 15.437 * [backup-simplify]: Simplify 0 into 0 15.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.438 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.438 * [backup-simplify]: Simplify 0 into 0 15.438 * [backup-simplify]: Simplify 0 into 0 15.438 * [backup-simplify]: Simplify (/ PI (- (/ 1 b) (/ 1 a))) into (/ PI (- (/ 1 b) (/ 1 a))) 15.438 * [approximate]: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in (b a) around 0 15.438 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in a 15.438 * [taylor]: Taking taylor expansion of PI in a 15.438 * [backup-simplify]: Simplify PI into PI 15.438 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 15.438 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.438 * [taylor]: Taking taylor expansion of b in a 15.438 * [backup-simplify]: Simplify b into b 15.438 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.438 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.438 * [taylor]: Taking taylor expansion of a in a 15.438 * [backup-simplify]: Simplify 0 into 0 15.438 * [backup-simplify]: Simplify 1 into 1 15.439 * [backup-simplify]: Simplify (/ 1 1) into 1 15.439 * [backup-simplify]: Simplify (- 1) into -1 15.439 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.440 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 15.440 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in b 15.440 * [taylor]: Taking taylor expansion of PI in b 15.440 * [backup-simplify]: Simplify PI into PI 15.440 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 15.440 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.440 * [taylor]: Taking taylor expansion of b in b 15.440 * [backup-simplify]: Simplify 0 into 0 15.440 * [backup-simplify]: Simplify 1 into 1 15.440 * [backup-simplify]: Simplify (/ 1 1) into 1 15.440 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.440 * [taylor]: Taking taylor expansion of a in b 15.440 * [backup-simplify]: Simplify a into a 15.440 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.440 * [backup-simplify]: Simplify (+ 1 0) into 1 15.441 * [backup-simplify]: Simplify (/ PI 1) into PI 15.441 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in b 15.441 * [taylor]: Taking taylor expansion of PI in b 15.441 * [backup-simplify]: Simplify PI into PI 15.441 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 15.441 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.441 * [taylor]: Taking taylor expansion of b in b 15.441 * [backup-simplify]: Simplify 0 into 0 15.441 * [backup-simplify]: Simplify 1 into 1 15.441 * [backup-simplify]: Simplify (/ 1 1) into 1 15.441 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.441 * [taylor]: Taking taylor expansion of a in b 15.441 * [backup-simplify]: Simplify a into a 15.441 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.441 * [backup-simplify]: Simplify (+ 1 0) into 1 15.442 * [backup-simplify]: Simplify (/ PI 1) into PI 15.442 * [taylor]: Taking taylor expansion of PI in a 15.442 * [backup-simplify]: Simplify PI into PI 15.442 * [backup-simplify]: Simplify 0 into 0 15.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.442 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 15.442 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 15.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 a)) 1)))) into (/ PI a) 15.443 * [taylor]: Taking taylor expansion of (/ PI a) in a 15.443 * [taylor]: Taking taylor expansion of PI in a 15.443 * [backup-simplify]: Simplify PI into PI 15.443 * [taylor]: Taking taylor expansion of a in a 15.443 * [backup-simplify]: Simplify 0 into 0 15.443 * [backup-simplify]: Simplify 1 into 1 15.443 * [backup-simplify]: Simplify (/ PI 1) into PI 15.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.444 * [backup-simplify]: Simplify 0 into 0 15.444 * [backup-simplify]: Simplify 0 into 0 15.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 15.445 * [backup-simplify]: Simplify (- 0) into 0 15.445 * [backup-simplify]: Simplify (+ 0 0) into 0 15.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (/ PI a) (/ (- (/ 1 a)) 1)))) into (/ PI (pow a 2)) 15.446 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 15.446 * [taylor]: Taking taylor expansion of PI in a 15.446 * [backup-simplify]: Simplify PI into PI 15.446 * [taylor]: Taking taylor expansion of (pow a 2) in a 15.446 * [taylor]: Taking taylor expansion of a in a 15.446 * [backup-simplify]: Simplify 0 into 0 15.446 * [backup-simplify]: Simplify 1 into 1 15.446 * [backup-simplify]: Simplify (* 1 1) into 1 15.447 * [backup-simplify]: Simplify (/ PI 1) into PI 15.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.452 * [backup-simplify]: Simplify 0 into 0 15.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.453 * [backup-simplify]: Simplify 0 into 0 15.453 * [backup-simplify]: Simplify 0 into 0 15.453 * [backup-simplify]: Simplify 0 into 0 15.454 * [backup-simplify]: Simplify (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) into (/ PI (- (/ 1 a) (/ 1 b))) 15.454 * [approximate]: Taking taylor expansion of (/ PI (- (/ 1 a) (/ 1 b))) in (b a) around 0 15.454 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 a) (/ 1 b))) in a 15.454 * [taylor]: Taking taylor expansion of PI in a 15.454 * [backup-simplify]: Simplify PI into PI 15.454 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 15.454 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.454 * [taylor]: Taking taylor expansion of a in a 15.454 * [backup-simplify]: Simplify 0 into 0 15.454 * [backup-simplify]: Simplify 1 into 1 15.454 * [backup-simplify]: Simplify (/ 1 1) into 1 15.454 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.454 * [taylor]: Taking taylor expansion of b in a 15.454 * [backup-simplify]: Simplify b into b 15.454 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.455 * [backup-simplify]: Simplify (+ 1 0) into 1 15.456 * [backup-simplify]: Simplify (/ PI 1) into PI 15.456 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 a) (/ 1 b))) in b 15.456 * [taylor]: Taking taylor expansion of PI in b 15.456 * [backup-simplify]: Simplify PI into PI 15.456 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 15.456 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.456 * [taylor]: Taking taylor expansion of a in b 15.456 * [backup-simplify]: Simplify a into a 15.456 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.456 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.456 * [taylor]: Taking taylor expansion of b in b 15.456 * [backup-simplify]: Simplify 0 into 0 15.456 * [backup-simplify]: Simplify 1 into 1 15.456 * [backup-simplify]: Simplify (/ 1 1) into 1 15.457 * [backup-simplify]: Simplify (- 1) into -1 15.457 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.458 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 15.458 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 a) (/ 1 b))) in b 15.458 * [taylor]: Taking taylor expansion of PI in b 15.458 * [backup-simplify]: Simplify PI into PI 15.458 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 15.458 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.458 * [taylor]: Taking taylor expansion of a in b 15.458 * [backup-simplify]: Simplify a into a 15.458 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.458 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.458 * [taylor]: Taking taylor expansion of b in b 15.458 * [backup-simplify]: Simplify 0 into 0 15.458 * [backup-simplify]: Simplify 1 into 1 15.458 * [backup-simplify]: Simplify (/ 1 1) into 1 15.459 * [backup-simplify]: Simplify (- 1) into -1 15.459 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.460 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 15.460 * [taylor]: Taking taylor expansion of (* -1 PI) in a 15.460 * [taylor]: Taking taylor expansion of -1 in a 15.460 * [backup-simplify]: Simplify -1 into -1 15.460 * [taylor]: Taking taylor expansion of PI in a 15.460 * [backup-simplify]: Simplify PI into PI 15.461 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 15.461 * [backup-simplify]: Simplify 0 into 0 15.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.462 * [backup-simplify]: Simplify (- 0) into 0 15.462 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 15.463 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (/ 1 a) -1)))) into (- (/ PI a)) 15.463 * [taylor]: Taking taylor expansion of (- (/ PI a)) in a 15.463 * [taylor]: Taking taylor expansion of (/ PI a) in a 15.463 * [taylor]: Taking taylor expansion of PI in a 15.463 * [backup-simplify]: Simplify PI into PI 15.463 * [taylor]: Taking taylor expansion of a in a 15.463 * [backup-simplify]: Simplify 0 into 0 15.463 * [backup-simplify]: Simplify 1 into 1 15.475 * [backup-simplify]: Simplify (/ PI 1) into PI 15.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.477 * [backup-simplify]: Simplify (- 0) into 0 15.477 * [backup-simplify]: Simplify 0 into 0 15.477 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 15.477 * [backup-simplify]: Simplify 0 into 0 15.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 15.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.478 * [backup-simplify]: Simplify (- 0) into 0 15.479 * [backup-simplify]: Simplify (+ 0 0) into 0 15.479 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (- (/ PI a)) (/ (/ 1 a) -1)))) into (- (/ PI (pow a 2))) 15.479 * [taylor]: Taking taylor expansion of (- (/ PI (pow a 2))) in a 15.479 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 15.479 * [taylor]: Taking taylor expansion of PI in a 15.479 * [backup-simplify]: Simplify PI into PI 15.479 * [taylor]: Taking taylor expansion of (pow a 2) in a 15.479 * [taylor]: Taking taylor expansion of a in a 15.480 * [backup-simplify]: Simplify 0 into 0 15.480 * [backup-simplify]: Simplify 1 into 1 15.480 * [backup-simplify]: Simplify (* 1 1) into 1 15.480 * [backup-simplify]: Simplify (/ PI 1) into PI 15.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.484 * [backup-simplify]: Simplify (- 0) into 0 15.484 * [backup-simplify]: Simplify 0 into 0 15.484 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.484 * [backup-simplify]: Simplify (- 0) into 0 15.484 * [backup-simplify]: Simplify 0 into 0 15.485 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.485 * [backup-simplify]: Simplify 0 into 0 15.485 * [backup-simplify]: Simplify 0 into 0 15.485 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 15.485 * [backup-simplify]: Simplify (/ (/ (- (/ 1 a) (/ 1 b)) 2) (+ b a)) into (* 1/2 (/ (- (/ 1 a) (/ 1 b)) (+ a b))) 15.485 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- (/ 1 a) (/ 1 b)) (+ a b))) in (a b) around 0 15.485 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ 1 a) (/ 1 b)) (+ a b))) in b 15.485 * [taylor]: Taking taylor expansion of 1/2 in b 15.485 * [backup-simplify]: Simplify 1/2 into 1/2 15.485 * [taylor]: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (+ a b)) in b 15.485 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 15.485 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.485 * [taylor]: Taking taylor expansion of a in b 15.486 * [backup-simplify]: Simplify a into a 15.486 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.486 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.486 * [taylor]: Taking taylor expansion of b in b 15.486 * [backup-simplify]: Simplify 0 into 0 15.486 * [backup-simplify]: Simplify 1 into 1 15.486 * [backup-simplify]: Simplify (/ 1 1) into 1 15.486 * [taylor]: Taking taylor expansion of (+ a b) in b 15.486 * [taylor]: Taking taylor expansion of a in b 15.486 * [backup-simplify]: Simplify a into a 15.486 * [taylor]: Taking taylor expansion of b in b 15.486 * [backup-simplify]: Simplify 0 into 0 15.486 * [backup-simplify]: Simplify 1 into 1 15.486 * [backup-simplify]: Simplify (- 1) into -1 15.486 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.486 * [backup-simplify]: Simplify (+ a 0) into a 15.487 * [backup-simplify]: Simplify (/ -1 a) into (/ -1 a) 15.487 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ 1 a) (/ 1 b)) (+ a b))) in a 15.487 * [taylor]: Taking taylor expansion of 1/2 in a 15.487 * [backup-simplify]: Simplify 1/2 into 1/2 15.487 * [taylor]: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (+ a b)) in a 15.487 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 15.487 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.487 * [taylor]: Taking taylor expansion of a in a 15.487 * [backup-simplify]: Simplify 0 into 0 15.487 * [backup-simplify]: Simplify 1 into 1 15.487 * [backup-simplify]: Simplify (/ 1 1) into 1 15.487 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.487 * [taylor]: Taking taylor expansion of b in a 15.487 * [backup-simplify]: Simplify b into b 15.487 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.487 * [taylor]: Taking taylor expansion of (+ a b) in a 15.487 * [taylor]: Taking taylor expansion of a in a 15.487 * [backup-simplify]: Simplify 0 into 0 15.487 * [backup-simplify]: Simplify 1 into 1 15.487 * [taylor]: Taking taylor expansion of b in a 15.487 * [backup-simplify]: Simplify b into b 15.487 * [backup-simplify]: Simplify (+ 1 0) into 1 15.487 * [backup-simplify]: Simplify (+ 0 b) into b 15.487 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.487 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ 1 a) (/ 1 b)) (+ a b))) in a 15.487 * [taylor]: Taking taylor expansion of 1/2 in a 15.488 * [backup-simplify]: Simplify 1/2 into 1/2 15.488 * [taylor]: Taking taylor expansion of (/ (- (/ 1 a) (/ 1 b)) (+ a b)) in a 15.488 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 15.488 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.488 * [taylor]: Taking taylor expansion of a in a 15.488 * [backup-simplify]: Simplify 0 into 0 15.488 * [backup-simplify]: Simplify 1 into 1 15.488 * [backup-simplify]: Simplify (/ 1 1) into 1 15.488 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.488 * [taylor]: Taking taylor expansion of b in a 15.488 * [backup-simplify]: Simplify b into b 15.488 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.488 * [taylor]: Taking taylor expansion of (+ a b) in a 15.488 * [taylor]: Taking taylor expansion of a in a 15.488 * [backup-simplify]: Simplify 0 into 0 15.488 * [backup-simplify]: Simplify 1 into 1 15.488 * [taylor]: Taking taylor expansion of b in a 15.488 * [backup-simplify]: Simplify b into b 15.488 * [backup-simplify]: Simplify (+ 1 0) into 1 15.488 * [backup-simplify]: Simplify (+ 0 b) into b 15.488 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.488 * [backup-simplify]: Simplify (* 1/2 (/ 1 b)) into (/ 1/2 b) 15.488 * [taylor]: Taking taylor expansion of (/ 1/2 b) in b 15.488 * [taylor]: Taking taylor expansion of 1/2 in b 15.489 * [backup-simplify]: Simplify 1/2 into 1/2 15.489 * [taylor]: Taking taylor expansion of b in b 15.489 * [backup-simplify]: Simplify 0 into 0 15.489 * [backup-simplify]: Simplify 1 into 1 15.489 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.489 * [backup-simplify]: Simplify 1/2 into 1/2 15.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.489 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 15.489 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 15.490 * [backup-simplify]: Simplify (+ 1 0) into 1 15.490 * [backup-simplify]: Simplify (- (/ (- (/ 1 b)) b) (+ (* (/ 1 b) (/ 1 b)))) into (- (* 2 (/ 1 (pow b 2)))) 15.490 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (pow b 2))))) (* 0 (/ 1 b))) into (- (/ 1 (pow b 2))) 15.490 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2))) in b 15.490 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 15.490 * [taylor]: Taking taylor expansion of (pow b 2) in b 15.490 * [taylor]: Taking taylor expansion of b in b 15.490 * [backup-simplify]: Simplify 0 into 0 15.490 * [backup-simplify]: Simplify 1 into 1 15.490 * [backup-simplify]: Simplify (* 1 1) into 1 15.491 * [backup-simplify]: Simplify (/ 1 1) into 1 15.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.492 * [backup-simplify]: Simplify (- 0) into 0 15.492 * [backup-simplify]: Simplify 0 into 0 15.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.492 * [backup-simplify]: Simplify 0 into 0 15.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 15.493 * [backup-simplify]: Simplify (- 0) into 0 15.494 * [backup-simplify]: Simplify (+ 0 0) into 0 15.494 * [backup-simplify]: Simplify (+ 0 0) into 0 15.494 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* (- (* 2 (/ 1 (pow b 2)))) (/ 1 b)))) into (* 2 (/ 1 (pow b 3))) 15.494 * [backup-simplify]: Simplify (+ (* 1/2 (* 2 (/ 1 (pow b 3)))) (+ (* 0 (- (* 2 (/ 1 (pow b 2))))) (* 0 (/ 1 b)))) into (/ 1 (pow b 3)) 15.494 * [taylor]: Taking taylor expansion of (/ 1 (pow b 3)) in b 15.494 * [taylor]: Taking taylor expansion of (pow b 3) in b 15.494 * [taylor]: Taking taylor expansion of b in b 15.494 * [backup-simplify]: Simplify 0 into 0 15.494 * [backup-simplify]: Simplify 1 into 1 15.495 * [backup-simplify]: Simplify (* 1 1) into 1 15.495 * [backup-simplify]: Simplify (* 1 1) into 1 15.495 * [backup-simplify]: Simplify (/ 1 1) into 1 15.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.498 * [backup-simplify]: Simplify 0 into 0 15.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.499 * [backup-simplify]: Simplify (- 0) into 0 15.499 * [backup-simplify]: Simplify 0 into 0 15.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.500 * [backup-simplify]: Simplify 0 into 0 15.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 15.501 * [backup-simplify]: Simplify (- 0) into 0 15.501 * [backup-simplify]: Simplify (+ 0 0) into 0 15.501 * [backup-simplify]: Simplify (+ 0 0) into 0 15.502 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* (- (* 2 (/ 1 (pow b 2)))) (/ 0 b)) (* (* 2 (/ 1 (pow b 3))) (/ 1 b)))) into (- (* 2 (/ 1 (pow b 4)))) 15.502 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 (pow b 4))))) (+ (* 0 (* 2 (/ 1 (pow b 3)))) (+ (* 0 (- (* 2 (/ 1 (pow b 2))))) (* 0 (/ 1 b))))) into (- (/ 1 (pow b 4))) 15.502 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 4))) in b 15.502 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 15.502 * [taylor]: Taking taylor expansion of (pow b 4) in b 15.502 * [taylor]: Taking taylor expansion of b in b 15.502 * [backup-simplify]: Simplify 0 into 0 15.502 * [backup-simplify]: Simplify 1 into 1 15.502 * [backup-simplify]: Simplify (* 1 1) into 1 15.503 * [backup-simplify]: Simplify (* 1 1) into 1 15.503 * [backup-simplify]: Simplify (/ 1 1) into 1 15.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.511 * [backup-simplify]: Simplify (- 0) into 0 15.511 * [backup-simplify]: Simplify 0 into 0 15.511 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 b) (/ 1 a))) into (/ 1/2 (* a b)) 15.511 * [backup-simplify]: Simplify (/ (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) (+ (/ 1 b) (/ 1 a))) into (* 1/2 (/ (- a b) (+ (/ 1 b) (/ 1 a)))) 15.511 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- a b) (+ (/ 1 b) (/ 1 a)))) in (a b) around 0 15.511 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- a b) (+ (/ 1 b) (/ 1 a)))) in b 15.511 * [taylor]: Taking taylor expansion of 1/2 in b 15.511 * [backup-simplify]: Simplify 1/2 into 1/2 15.511 * [taylor]: Taking taylor expansion of (/ (- a b) (+ (/ 1 b) (/ 1 a))) in b 15.511 * [taylor]: Taking taylor expansion of (- a b) in b 15.511 * [taylor]: Taking taylor expansion of a in b 15.512 * [backup-simplify]: Simplify a into a 15.512 * [taylor]: Taking taylor expansion of b in b 15.512 * [backup-simplify]: Simplify 0 into 0 15.512 * [backup-simplify]: Simplify 1 into 1 15.512 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 15.512 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.512 * [taylor]: Taking taylor expansion of b in b 15.512 * [backup-simplify]: Simplify 0 into 0 15.512 * [backup-simplify]: Simplify 1 into 1 15.513 * [backup-simplify]: Simplify (/ 1 1) into 1 15.513 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.513 * [taylor]: Taking taylor expansion of a in b 15.513 * [backup-simplify]: Simplify a into a 15.513 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.513 * [backup-simplify]: Simplify (- 0) into 0 15.513 * [backup-simplify]: Simplify (+ a 0) into a 15.514 * [backup-simplify]: Simplify (+ 1 0) into 1 15.514 * [backup-simplify]: Simplify (/ a 1) into a 15.514 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- a b) (+ (/ 1 b) (/ 1 a)))) in a 15.514 * [taylor]: Taking taylor expansion of 1/2 in a 15.514 * [backup-simplify]: Simplify 1/2 into 1/2 15.514 * [taylor]: Taking taylor expansion of (/ (- a b) (+ (/ 1 b) (/ 1 a))) in a 15.514 * [taylor]: Taking taylor expansion of (- a b) in a 15.514 * [taylor]: Taking taylor expansion of a in a 15.514 * [backup-simplify]: Simplify 0 into 0 15.514 * [backup-simplify]: Simplify 1 into 1 15.514 * [taylor]: Taking taylor expansion of b in a 15.514 * [backup-simplify]: Simplify b into b 15.514 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 15.514 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.514 * [taylor]: Taking taylor expansion of b in a 15.514 * [backup-simplify]: Simplify b into b 15.514 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.514 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.514 * [taylor]: Taking taylor expansion of a in a 15.514 * [backup-simplify]: Simplify 0 into 0 15.514 * [backup-simplify]: Simplify 1 into 1 15.515 * [backup-simplify]: Simplify (/ 1 1) into 1 15.515 * [backup-simplify]: Simplify (- b) into (- b) 15.515 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 15.515 * [backup-simplify]: Simplify (+ 0 1) into 1 15.515 * [backup-simplify]: Simplify (/ (- b) 1) into (* -1 b) 15.516 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- a b) (+ (/ 1 b) (/ 1 a)))) in a 15.516 * [taylor]: Taking taylor expansion of 1/2 in a 15.516 * [backup-simplify]: Simplify 1/2 into 1/2 15.516 * [taylor]: Taking taylor expansion of (/ (- a b) (+ (/ 1 b) (/ 1 a))) in a 15.516 * [taylor]: Taking taylor expansion of (- a b) in a 15.516 * [taylor]: Taking taylor expansion of a in a 15.516 * [backup-simplify]: Simplify 0 into 0 15.516 * [backup-simplify]: Simplify 1 into 1 15.516 * [taylor]: Taking taylor expansion of b in a 15.516 * [backup-simplify]: Simplify b into b 15.516 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 15.516 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.516 * [taylor]: Taking taylor expansion of b in a 15.516 * [backup-simplify]: Simplify b into b 15.516 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.516 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.516 * [taylor]: Taking taylor expansion of a in a 15.516 * [backup-simplify]: Simplify 0 into 0 15.516 * [backup-simplify]: Simplify 1 into 1 15.516 * [backup-simplify]: Simplify (/ 1 1) into 1 15.516 * [backup-simplify]: Simplify (- b) into (- b) 15.517 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 15.517 * [backup-simplify]: Simplify (+ 0 1) into 1 15.517 * [backup-simplify]: Simplify (/ (- b) 1) into (* -1 b) 15.517 * [backup-simplify]: Simplify (* 1/2 (* -1 b)) into (* -1/2 b) 15.517 * [taylor]: Taking taylor expansion of (* -1/2 b) in b 15.517 * [taylor]: Taking taylor expansion of -1/2 in b 15.517 * [backup-simplify]: Simplify -1/2 into -1/2 15.517 * [taylor]: Taking taylor expansion of b in b 15.517 * [backup-simplify]: Simplify 0 into 0 15.517 * [backup-simplify]: Simplify 1 into 1 15.518 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 15.518 * [backup-simplify]: Simplify -1/2 into -1/2 15.519 * [backup-simplify]: Simplify (- 0) into 0 15.519 * [backup-simplify]: Simplify (+ 1 0) into 1 15.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.520 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 15.520 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* (* -1 b) (/ (/ 1 b) 1)))) into 2 15.521 * [backup-simplify]: Simplify (+ (* 1/2 2) (* 0 (* -1 b))) into 1 15.521 * [taylor]: Taking taylor expansion of 1 in b 15.521 * [backup-simplify]: Simplify 1 into 1 15.521 * [backup-simplify]: Simplify 0 into 0 15.522 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 15.522 * [backup-simplify]: Simplify 0 into 0 15.522 * [backup-simplify]: Simplify (- 0) into 0 15.523 * [backup-simplify]: Simplify (+ 0 0) into 0 15.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 15.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.524 * [backup-simplify]: Simplify (+ 0 0) into 0 15.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 b) (/ 0 1)) (* 2 (/ (/ 1 b) 1)))) into (- (* 2 (/ 1 b))) 15.526 * [backup-simplify]: Simplify (+ (* 1/2 (- (* 2 (/ 1 b)))) (+ (* 0 2) (* 0 (* -1 b)))) into (- (/ 1 b)) 15.526 * [taylor]: Taking taylor expansion of (- (/ 1 b)) in b 15.526 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.526 * [taylor]: Taking taylor expansion of b in b 15.526 * [backup-simplify]: Simplify 0 into 0 15.526 * [backup-simplify]: Simplify 1 into 1 15.526 * [backup-simplify]: Simplify (/ 1 1) into 1 15.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.528 * [backup-simplify]: Simplify (- 0) into 0 15.529 * [backup-simplify]: Simplify 0 into 0 15.529 * [backup-simplify]: Simplify 0 into 0 15.530 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.530 * [backup-simplify]: Simplify 0 into 0 15.530 * [backup-simplify]: Simplify (- 0) into 0 15.531 * [backup-simplify]: Simplify (+ 0 0) into 0 15.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 15.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.532 * [backup-simplify]: Simplify (+ 0 0) into 0 15.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 b) (/ 0 1)) (* 2 (/ 0 1)) (* (- (* 2 (/ 1 b))) (/ (/ 1 b) 1)))) into (* 2 (/ 1 (pow b 2))) 15.535 * [backup-simplify]: Simplify (+ (* 1/2 (* 2 (/ 1 (pow b 2)))) (+ (* 0 (- (* 2 (/ 1 b)))) (+ (* 0 2) (* 0 (* -1 b))))) into (/ 1 (pow b 2)) 15.535 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 15.535 * [taylor]: Taking taylor expansion of (pow b 2) in b 15.535 * [taylor]: Taking taylor expansion of b in b 15.535 * [backup-simplify]: Simplify 0 into 0 15.535 * [backup-simplify]: Simplify 1 into 1 15.535 * [backup-simplify]: Simplify (* 1 1) into 1 15.536 * [backup-simplify]: Simplify (/ 1 1) into 1 15.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.541 * [backup-simplify]: Simplify 0 into 0 15.541 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 b) (/ 1 a))) into (/ -1/2 (* a b)) 15.541 * [backup-simplify]: Simplify (/ (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) (+ (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ (- b a) (+ (/ 1 b) (/ 1 a)))) 15.542 * [approximate]: Taking taylor expansion of (* -1/2 (/ (- b a) (+ (/ 1 b) (/ 1 a)))) in (a b) around 0 15.542 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- b a) (+ (/ 1 b) (/ 1 a)))) in b 15.542 * [taylor]: Taking taylor expansion of -1/2 in b 15.542 * [backup-simplify]: Simplify -1/2 into -1/2 15.542 * [taylor]: Taking taylor expansion of (/ (- b a) (+ (/ 1 b) (/ 1 a))) in b 15.542 * [taylor]: Taking taylor expansion of (- b a) in b 15.542 * [taylor]: Taking taylor expansion of b in b 15.542 * [backup-simplify]: Simplify 0 into 0 15.542 * [backup-simplify]: Simplify 1 into 1 15.542 * [taylor]: Taking taylor expansion of a in b 15.542 * [backup-simplify]: Simplify a into a 15.542 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 15.542 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.542 * [taylor]: Taking taylor expansion of b in b 15.542 * [backup-simplify]: Simplify 0 into 0 15.542 * [backup-simplify]: Simplify 1 into 1 15.542 * [backup-simplify]: Simplify (/ 1 1) into 1 15.542 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.542 * [taylor]: Taking taylor expansion of a in b 15.542 * [backup-simplify]: Simplify a into a 15.542 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.543 * [backup-simplify]: Simplify (- a) into (- a) 15.543 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 15.543 * [backup-simplify]: Simplify (+ 1 0) into 1 15.543 * [backup-simplify]: Simplify (/ (- a) 1) into (* -1 a) 15.543 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- b a) (+ (/ 1 b) (/ 1 a)))) in a 15.543 * [taylor]: Taking taylor expansion of -1/2 in a 15.543 * [backup-simplify]: Simplify -1/2 into -1/2 15.543 * [taylor]: Taking taylor expansion of (/ (- b a) (+ (/ 1 b) (/ 1 a))) in a 15.543 * [taylor]: Taking taylor expansion of (- b a) in a 15.543 * [taylor]: Taking taylor expansion of b in a 15.543 * [backup-simplify]: Simplify b into b 15.543 * [taylor]: Taking taylor expansion of a in a 15.543 * [backup-simplify]: Simplify 0 into 0 15.543 * [backup-simplify]: Simplify 1 into 1 15.543 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 15.543 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.543 * [taylor]: Taking taylor expansion of b in a 15.543 * [backup-simplify]: Simplify b into b 15.544 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.544 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.544 * [taylor]: Taking taylor expansion of a in a 15.544 * [backup-simplify]: Simplify 0 into 0 15.544 * [backup-simplify]: Simplify 1 into 1 15.544 * [backup-simplify]: Simplify (/ 1 1) into 1 15.544 * [backup-simplify]: Simplify (- 0) into 0 15.544 * [backup-simplify]: Simplify (+ b 0) into b 15.545 * [backup-simplify]: Simplify (+ 0 1) into 1 15.545 * [backup-simplify]: Simplify (/ b 1) into b 15.545 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- b a) (+ (/ 1 b) (/ 1 a)))) in a 15.545 * [taylor]: Taking taylor expansion of -1/2 in a 15.545 * [backup-simplify]: Simplify -1/2 into -1/2 15.545 * [taylor]: Taking taylor expansion of (/ (- b a) (+ (/ 1 b) (/ 1 a))) in a 15.545 * [taylor]: Taking taylor expansion of (- b a) in a 15.545 * [taylor]: Taking taylor expansion of b in a 15.545 * [backup-simplify]: Simplify b into b 15.545 * [taylor]: Taking taylor expansion of a in a 15.545 * [backup-simplify]: Simplify 0 into 0 15.545 * [backup-simplify]: Simplify 1 into 1 15.545 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 15.545 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.545 * [taylor]: Taking taylor expansion of b in a 15.545 * [backup-simplify]: Simplify b into b 15.545 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.545 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.545 * [taylor]: Taking taylor expansion of a in a 15.545 * [backup-simplify]: Simplify 0 into 0 15.545 * [backup-simplify]: Simplify 1 into 1 15.546 * [backup-simplify]: Simplify (/ 1 1) into 1 15.546 * [backup-simplify]: Simplify (- 0) into 0 15.546 * [backup-simplify]: Simplify (+ b 0) into b 15.547 * [backup-simplify]: Simplify (+ 0 1) into 1 15.547 * [backup-simplify]: Simplify (/ b 1) into b 15.547 * [backup-simplify]: Simplify (* -1/2 b) into (* -1/2 b) 15.547 * [taylor]: Taking taylor expansion of (* -1/2 b) in b 15.547 * [taylor]: Taking taylor expansion of -1/2 in b 15.547 * [backup-simplify]: Simplify -1/2 into -1/2 15.547 * [taylor]: Taking taylor expansion of b in b 15.547 * [backup-simplify]: Simplify 0 into 0 15.547 * [backup-simplify]: Simplify 1 into 1 15.548 * [backup-simplify]: Simplify (+ (* -1/2 1) (* 0 0)) into -1/2 15.548 * [backup-simplify]: Simplify -1/2 into -1/2 15.548 * [backup-simplify]: Simplify (- 1) into -1 15.549 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.550 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 15.550 * [backup-simplify]: Simplify (- (/ -1 1) (+ (* b (/ (/ 1 b) 1)))) into (- 2) 15.551 * [backup-simplify]: Simplify (+ (* -1/2 (- 2)) (* 0 b)) into 1 15.551 * [taylor]: Taking taylor expansion of 1 in b 15.551 * [backup-simplify]: Simplify 1 into 1 15.551 * [backup-simplify]: Simplify 0 into 0 15.552 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 1) (* 0 0))) into 0 15.552 * [backup-simplify]: Simplify 0 into 0 15.552 * [backup-simplify]: Simplify (- 0) into 0 15.553 * [backup-simplify]: Simplify (+ 0 0) into 0 15.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 15.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.554 * [backup-simplify]: Simplify (+ 0 0) into 0 15.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* (- 2) (/ (/ 1 b) 1)))) into (* 2 (/ 1 b)) 15.556 * [backup-simplify]: Simplify (+ (* -1/2 (* 2 (/ 1 b))) (+ (* 0 (- 2)) (* 0 b))) into (- (/ 1 b)) 15.556 * [taylor]: Taking taylor expansion of (- (/ 1 b)) in b 15.556 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.556 * [taylor]: Taking taylor expansion of b in b 15.556 * [backup-simplify]: Simplify 0 into 0 15.556 * [backup-simplify]: Simplify 1 into 1 15.557 * [backup-simplify]: Simplify (/ 1 1) into 1 15.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.559 * [backup-simplify]: Simplify (- 0) into 0 15.559 * [backup-simplify]: Simplify 0 into 0 15.559 * [backup-simplify]: Simplify 0 into 0 15.561 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.561 * [backup-simplify]: Simplify 0 into 0 15.561 * [backup-simplify]: Simplify (- 0) into 0 15.561 * [backup-simplify]: Simplify (+ 0 0) into 0 15.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 15.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.563 * [backup-simplify]: Simplify (+ 0 0) into 0 15.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* (- 2) (/ 0 1)) (* (* 2 (/ 1 b)) (/ (/ 1 b) 1)))) into (- (* 2 (/ 1 (pow b 2)))) 15.566 * [backup-simplify]: Simplify (+ (* -1/2 (- (* 2 (/ 1 (pow b 2))))) (+ (* 0 (* 2 (/ 1 b))) (+ (* 0 (- 2)) (* 0 b)))) into (/ 1 (pow b 2)) 15.566 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 15.566 * [taylor]: Taking taylor expansion of (pow b 2) in b 15.566 * [taylor]: Taking taylor expansion of b in b 15.566 * [backup-simplify]: Simplify 0 into 0 15.566 * [backup-simplify]: Simplify 1 into 1 15.566 * [backup-simplify]: Simplify (* 1 1) into 1 15.567 * [backup-simplify]: Simplify (/ 1 1) into 1 15.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.572 * [backup-simplify]: Simplify 0 into 0 15.572 * [backup-simplify]: Simplify (* -1/2 (* (/ 1 (- b)) (/ 1 (- a)))) into (/ -1/2 (* a b)) 15.572 * * * * [progress]: [ 3 / 3 ] generating series at (2) 15.573 * [backup-simplify]: Simplify (* (/ PI (- b a)) (/ (/ (- (/ 1 a) (/ 1 b)) 2) (+ b a))) into (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) 15.573 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in (b a) around 0 15.573 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in a 15.573 * [taylor]: Taking taylor expansion of 1/2 in a 15.573 * [backup-simplify]: Simplify 1/2 into 1/2 15.573 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in a 15.573 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 15.573 * [taylor]: Taking taylor expansion of PI in a 15.573 * [backup-simplify]: Simplify PI into PI 15.573 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 15.573 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.573 * [taylor]: Taking taylor expansion of a in a 15.573 * [backup-simplify]: Simplify 0 into 0 15.573 * [backup-simplify]: Simplify 1 into 1 15.574 * [backup-simplify]: Simplify (/ 1 1) into 1 15.574 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.574 * [taylor]: Taking taylor expansion of b in a 15.574 * [backup-simplify]: Simplify b into b 15.574 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.574 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 15.574 * [taylor]: Taking taylor expansion of (+ a b) in a 15.574 * [taylor]: Taking taylor expansion of a in a 15.574 * [backup-simplify]: Simplify 0 into 0 15.574 * [backup-simplify]: Simplify 1 into 1 15.574 * [taylor]: Taking taylor expansion of b in a 15.574 * [backup-simplify]: Simplify b into b 15.574 * [taylor]: Taking taylor expansion of (- b a) in a 15.574 * [taylor]: Taking taylor expansion of b in a 15.574 * [backup-simplify]: Simplify b into b 15.574 * [taylor]: Taking taylor expansion of a in a 15.574 * [backup-simplify]: Simplify 0 into 0 15.574 * [backup-simplify]: Simplify 1 into 1 15.575 * [backup-simplify]: Simplify (+ 1 0) into 1 15.575 * [backup-simplify]: Simplify (* PI 1) into PI 15.575 * [backup-simplify]: Simplify (+ 0 b) into b 15.576 * [backup-simplify]: Simplify (- 0) into 0 15.576 * [backup-simplify]: Simplify (+ b 0) into b 15.576 * [backup-simplify]: Simplify (* b b) into (pow b 2) 15.576 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 15.576 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in b 15.576 * [taylor]: Taking taylor expansion of 1/2 in b 15.576 * [backup-simplify]: Simplify 1/2 into 1/2 15.576 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in b 15.576 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 15.576 * [taylor]: Taking taylor expansion of PI in b 15.576 * [backup-simplify]: Simplify PI into PI 15.576 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 15.576 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.576 * [taylor]: Taking taylor expansion of a in b 15.576 * [backup-simplify]: Simplify a into a 15.576 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.576 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.576 * [taylor]: Taking taylor expansion of b in b 15.576 * [backup-simplify]: Simplify 0 into 0 15.576 * [backup-simplify]: Simplify 1 into 1 15.577 * [backup-simplify]: Simplify (/ 1 1) into 1 15.577 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 15.577 * [taylor]: Taking taylor expansion of (+ a b) in b 15.577 * [taylor]: Taking taylor expansion of a in b 15.577 * [backup-simplify]: Simplify a into a 15.577 * [taylor]: Taking taylor expansion of b in b 15.577 * [backup-simplify]: Simplify 0 into 0 15.577 * [backup-simplify]: Simplify 1 into 1 15.577 * [taylor]: Taking taylor expansion of (- b a) in b 15.577 * [taylor]: Taking taylor expansion of b in b 15.577 * [backup-simplify]: Simplify 0 into 0 15.577 * [backup-simplify]: Simplify 1 into 1 15.577 * [taylor]: Taking taylor expansion of a in b 15.577 * [backup-simplify]: Simplify a into a 15.577 * [backup-simplify]: Simplify (- 1) into -1 15.578 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.578 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 15.578 * [backup-simplify]: Simplify (+ a 0) into a 15.578 * [backup-simplify]: Simplify (- a) into (- a) 15.578 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 15.578 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 15.579 * [backup-simplify]: Simplify (/ (* -1 PI) (* -1 (pow a 2))) into (/ PI (pow a 2)) 15.579 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a)))) in b 15.579 * [taylor]: Taking taylor expansion of 1/2 in b 15.579 * [backup-simplify]: Simplify 1/2 into 1/2 15.579 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in b 15.579 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 15.579 * [taylor]: Taking taylor expansion of PI in b 15.579 * [backup-simplify]: Simplify PI into PI 15.579 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 15.579 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.579 * [taylor]: Taking taylor expansion of a in b 15.579 * [backup-simplify]: Simplify a into a 15.579 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.579 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.579 * [taylor]: Taking taylor expansion of b in b 15.580 * [backup-simplify]: Simplify 0 into 0 15.580 * [backup-simplify]: Simplify 1 into 1 15.580 * [backup-simplify]: Simplify (/ 1 1) into 1 15.580 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 15.580 * [taylor]: Taking taylor expansion of (+ a b) in b 15.580 * [taylor]: Taking taylor expansion of a in b 15.580 * [backup-simplify]: Simplify a into a 15.580 * [taylor]: Taking taylor expansion of b in b 15.580 * [backup-simplify]: Simplify 0 into 0 15.580 * [backup-simplify]: Simplify 1 into 1 15.580 * [taylor]: Taking taylor expansion of (- b a) in b 15.580 * [taylor]: Taking taylor expansion of b in b 15.580 * [backup-simplify]: Simplify 0 into 0 15.580 * [backup-simplify]: Simplify 1 into 1 15.580 * [taylor]: Taking taylor expansion of a in b 15.580 * [backup-simplify]: Simplify a into a 15.581 * [backup-simplify]: Simplify (- 1) into -1 15.581 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.582 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 15.582 * [backup-simplify]: Simplify (+ a 0) into a 15.582 * [backup-simplify]: Simplify (- a) into (- a) 15.582 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 15.582 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 15.583 * [backup-simplify]: Simplify (/ (* -1 PI) (* -1 (pow a 2))) into (/ PI (pow a 2)) 15.583 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow a 2))) into (* 1/2 (/ PI (pow a 2))) 15.583 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a 15.583 * [taylor]: Taking taylor expansion of 1/2 in a 15.583 * [backup-simplify]: Simplify 1/2 into 1/2 15.583 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 15.583 * [taylor]: Taking taylor expansion of PI in a 15.583 * [backup-simplify]: Simplify PI into PI 15.583 * [taylor]: Taking taylor expansion of (pow a 2) in a 15.583 * [taylor]: Taking taylor expansion of a in a 15.583 * [backup-simplify]: Simplify 0 into 0 15.583 * [backup-simplify]: Simplify 1 into 1 15.583 * [backup-simplify]: Simplify (* 1 1) into 1 15.584 * [backup-simplify]: Simplify (/ PI 1) into PI 15.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 15.587 * [backup-simplify]: Simplify 0 into 0 15.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.588 * [backup-simplify]: Simplify (- 0) into 0 15.588 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 15.589 * [backup-simplify]: Simplify (+ (* PI (/ 1 a)) (* 0 -1)) into (/ PI a) 15.589 * [backup-simplify]: Simplify (- 0) into 0 15.590 * [backup-simplify]: Simplify (+ 1 0) into 1 15.590 * [backup-simplify]: Simplify (+ 0 1) into 1 15.590 * [backup-simplify]: Simplify (+ (* a 1) (* 1 (- a))) into 0 15.591 * [backup-simplify]: Simplify (- (/ (/ PI a) (* -1 (pow a 2))) (+ (* (/ PI (pow a 2)) (/ 0 (* -1 (pow a 2)))))) into (- (/ PI (pow a 3))) 15.591 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow a 3)))) (* 0 (/ PI (pow a 2)))) into (- (* 1/2 (/ PI (pow a 3)))) 15.591 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 3)))) in a 15.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 3))) in a 15.591 * [taylor]: Taking taylor expansion of 1/2 in a 15.591 * [backup-simplify]: Simplify 1/2 into 1/2 15.591 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 15.591 * [taylor]: Taking taylor expansion of PI in a 15.591 * [backup-simplify]: Simplify PI into PI 15.591 * [taylor]: Taking taylor expansion of (pow a 3) in a 15.591 * [taylor]: Taking taylor expansion of a in a 15.591 * [backup-simplify]: Simplify 0 into 0 15.591 * [backup-simplify]: Simplify 1 into 1 15.592 * [backup-simplify]: Simplify (* 1 1) into 1 15.592 * [backup-simplify]: Simplify (* 1 1) into 1 15.593 * [backup-simplify]: Simplify (/ PI 1) into PI 15.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.599 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.599 * [backup-simplify]: Simplify (- 0) into 0 15.599 * [backup-simplify]: Simplify 0 into 0 15.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.602 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.602 * [backup-simplify]: Simplify 0 into 0 15.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 15.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.604 * [backup-simplify]: Simplify (- 0) into 0 15.604 * [backup-simplify]: Simplify (+ 0 0) into 0 15.611 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (/ 1 a)) (* 0 -1))) into 0 15.611 * [backup-simplify]: Simplify (- 0) into 0 15.612 * [backup-simplify]: Simplify (+ 0 0) into 0 15.612 * [backup-simplify]: Simplify (+ 0 0) into 0 15.613 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 1) (* 0 (- a)))) into 1 15.613 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow a 2))) (+ (* (/ PI (pow a 2)) (/ 1 (* -1 (pow a 2)))) (* (- (/ PI (pow a 3))) (/ 0 (* -1 (pow a 2)))))) into (/ PI (pow a 4)) 15.614 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow a 4))) (+ (* 0 (- (/ PI (pow a 3)))) (* 0 (/ PI (pow a 2))))) into (* 1/2 (/ PI (pow a 4))) 15.614 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a 15.614 * [taylor]: Taking taylor expansion of 1/2 in a 15.614 * [backup-simplify]: Simplify 1/2 into 1/2 15.614 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 15.614 * [taylor]: Taking taylor expansion of PI in a 15.614 * [backup-simplify]: Simplify PI into PI 15.614 * [taylor]: Taking taylor expansion of (pow a 4) in a 15.614 * [taylor]: Taking taylor expansion of a in a 15.614 * [backup-simplify]: Simplify 0 into 0 15.614 * [backup-simplify]: Simplify 1 into 1 15.614 * [backup-simplify]: Simplify (* 1 1) into 1 15.615 * [backup-simplify]: Simplify (* 1 1) into 1 15.615 * [backup-simplify]: Simplify (/ PI 1) into PI 15.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.625 * [backup-simplify]: Simplify 0 into 0 15.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.629 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.630 * [backup-simplify]: Simplify (- 0) into 0 15.630 * [backup-simplify]: Simplify 0 into 0 15.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.633 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.633 * [backup-simplify]: Simplify 0 into 0 15.633 * [backup-simplify]: Simplify 0 into 0 15.634 * [backup-simplify]: Simplify (* (/ PI (- (/ 1 b) (/ 1 a))) (/ (/ (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) 2) (+ (/ 1 b) (/ 1 a)))) into (* 1/2 (/ (* (- a b) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) 15.634 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* (- a b) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in (b a) around 0 15.634 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (- a b) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in a 15.634 * [taylor]: Taking taylor expansion of 1/2 in a 15.634 * [backup-simplify]: Simplify 1/2 into 1/2 15.634 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in a 15.634 * [taylor]: Taking taylor expansion of (* (- a b) PI) in a 15.634 * [taylor]: Taking taylor expansion of (- a b) in a 15.634 * [taylor]: Taking taylor expansion of a in a 15.634 * [backup-simplify]: Simplify 0 into 0 15.634 * [backup-simplify]: Simplify 1 into 1 15.634 * [taylor]: Taking taylor expansion of b in a 15.634 * [backup-simplify]: Simplify b into b 15.634 * [taylor]: Taking taylor expansion of PI in a 15.634 * [backup-simplify]: Simplify PI into PI 15.634 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in a 15.634 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 15.634 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.634 * [taylor]: Taking taylor expansion of b in a 15.634 * [backup-simplify]: Simplify b into b 15.634 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.634 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.634 * [taylor]: Taking taylor expansion of a in a 15.634 * [backup-simplify]: Simplify 0 into 0 15.635 * [backup-simplify]: Simplify 1 into 1 15.635 * [backup-simplify]: Simplify (/ 1 1) into 1 15.635 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 15.635 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.635 * [taylor]: Taking taylor expansion of b in a 15.635 * [backup-simplify]: Simplify b into b 15.635 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.635 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.635 * [taylor]: Taking taylor expansion of a in a 15.635 * [backup-simplify]: Simplify 0 into 0 15.635 * [backup-simplify]: Simplify 1 into 1 15.636 * [backup-simplify]: Simplify (/ 1 1) into 1 15.636 * [backup-simplify]: Simplify (- b) into (- b) 15.636 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 15.636 * [backup-simplify]: Simplify (* (- b) PI) into (* -1 (* PI b)) 15.636 * [backup-simplify]: Simplify (- 1) into -1 15.637 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.637 * [backup-simplify]: Simplify (+ 0 1) into 1 15.637 * [backup-simplify]: Simplify (* -1 1) into -1 15.638 * [backup-simplify]: Simplify (/ (* -1 (* PI b)) -1) into (* b PI) 15.638 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (- a b) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in b 15.638 * [taylor]: Taking taylor expansion of 1/2 in b 15.638 * [backup-simplify]: Simplify 1/2 into 1/2 15.638 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in b 15.638 * [taylor]: Taking taylor expansion of (* (- a b) PI) in b 15.638 * [taylor]: Taking taylor expansion of (- a b) in b 15.638 * [taylor]: Taking taylor expansion of a in b 15.638 * [backup-simplify]: Simplify a into a 15.638 * [taylor]: Taking taylor expansion of b in b 15.638 * [backup-simplify]: Simplify 0 into 0 15.638 * [backup-simplify]: Simplify 1 into 1 15.638 * [taylor]: Taking taylor expansion of PI in b 15.638 * [backup-simplify]: Simplify PI into PI 15.638 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in b 15.638 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 15.638 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.638 * [taylor]: Taking taylor expansion of b in b 15.638 * [backup-simplify]: Simplify 0 into 0 15.638 * [backup-simplify]: Simplify 1 into 1 15.638 * [backup-simplify]: Simplify (/ 1 1) into 1 15.638 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.639 * [taylor]: Taking taylor expansion of a in b 15.639 * [backup-simplify]: Simplify a into a 15.639 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.639 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 15.639 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.639 * [taylor]: Taking taylor expansion of b in b 15.639 * [backup-simplify]: Simplify 0 into 0 15.639 * [backup-simplify]: Simplify 1 into 1 15.639 * [backup-simplify]: Simplify (/ 1 1) into 1 15.639 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.639 * [taylor]: Taking taylor expansion of a in b 15.639 * [backup-simplify]: Simplify a into a 15.639 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.640 * [backup-simplify]: Simplify (- 0) into 0 15.640 * [backup-simplify]: Simplify (+ a 0) into a 15.640 * [backup-simplify]: Simplify (* a PI) into (* a PI) 15.640 * [backup-simplify]: Simplify (+ 1 0) into 1 15.641 * [backup-simplify]: Simplify (+ 1 0) into 1 15.641 * [backup-simplify]: Simplify (* 1 1) into 1 15.641 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 15.641 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (- a b) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in b 15.641 * [taylor]: Taking taylor expansion of 1/2 in b 15.641 * [backup-simplify]: Simplify 1/2 into 1/2 15.641 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in b 15.641 * [taylor]: Taking taylor expansion of (* (- a b) PI) in b 15.641 * [taylor]: Taking taylor expansion of (- a b) in b 15.641 * [taylor]: Taking taylor expansion of a in b 15.641 * [backup-simplify]: Simplify a into a 15.641 * [taylor]: Taking taylor expansion of b in b 15.641 * [backup-simplify]: Simplify 0 into 0 15.641 * [backup-simplify]: Simplify 1 into 1 15.641 * [taylor]: Taking taylor expansion of PI in b 15.641 * [backup-simplify]: Simplify PI into PI 15.641 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in b 15.641 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 15.641 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.642 * [taylor]: Taking taylor expansion of b in b 15.642 * [backup-simplify]: Simplify 0 into 0 15.642 * [backup-simplify]: Simplify 1 into 1 15.642 * [backup-simplify]: Simplify (/ 1 1) into 1 15.642 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.642 * [taylor]: Taking taylor expansion of a in b 15.642 * [backup-simplify]: Simplify a into a 15.642 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.642 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 15.642 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.642 * [taylor]: Taking taylor expansion of b in b 15.642 * [backup-simplify]: Simplify 0 into 0 15.642 * [backup-simplify]: Simplify 1 into 1 15.643 * [backup-simplify]: Simplify (/ 1 1) into 1 15.643 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.643 * [taylor]: Taking taylor expansion of a in b 15.643 * [backup-simplify]: Simplify a into a 15.643 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.643 * [backup-simplify]: Simplify (- 0) into 0 15.643 * [backup-simplify]: Simplify (+ a 0) into a 15.643 * [backup-simplify]: Simplify (* a PI) into (* a PI) 15.644 * [backup-simplify]: Simplify (+ 1 0) into 1 15.644 * [backup-simplify]: Simplify (+ 1 0) into 1 15.644 * [backup-simplify]: Simplify (* 1 1) into 1 15.645 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 15.645 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 15.645 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 15.645 * [taylor]: Taking taylor expansion of 1/2 in a 15.645 * [backup-simplify]: Simplify 1/2 into 1/2 15.645 * [taylor]: Taking taylor expansion of (* a PI) in a 15.645 * [taylor]: Taking taylor expansion of a in a 15.645 * [backup-simplify]: Simplify 0 into 0 15.645 * [backup-simplify]: Simplify 1 into 1 15.645 * [taylor]: Taking taylor expansion of PI in a 15.645 * [backup-simplify]: Simplify PI into PI 15.646 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.647 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.648 * [backup-simplify]: Simplify (* 0 PI) into 0 15.649 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 15.649 * [backup-simplify]: Simplify 0 into 0 15.649 * [backup-simplify]: Simplify (- 1) into -1 15.650 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.650 * [backup-simplify]: Simplify (+ (* a 0) (* -1 PI)) into (- PI) 15.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.651 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 15.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.652 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 15.652 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 15.652 * [backup-simplify]: Simplify (+ (* 1 (/ 1 a)) (* (- (/ 1 a)) 1)) into 0 15.654 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* a PI) (/ 0 1)))) into (- PI) 15.655 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* a PI))) into (- (* 1/2 PI)) 15.655 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in a 15.655 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 15.655 * [taylor]: Taking taylor expansion of 1/2 in a 15.655 * [backup-simplify]: Simplify 1/2 into 1/2 15.655 * [taylor]: Taking taylor expansion of PI in a 15.655 * [backup-simplify]: Simplify PI into PI 15.656 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.656 * [backup-simplify]: Simplify (- 0) into 0 15.657 * [backup-simplify]: Simplify 0 into 0 15.658 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 15.659 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 15.659 * [backup-simplify]: Simplify 0 into 0 15.659 * [backup-simplify]: Simplify (- 0) into 0 15.660 * [backup-simplify]: Simplify (+ 0 0) into 0 15.661 * [backup-simplify]: Simplify (+ (* a 0) (+ (* -1 0) (* 0 PI))) into 0 15.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 15.662 * [backup-simplify]: Simplify (+ 0 0) into 0 15.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.663 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 15.663 * [backup-simplify]: Simplify (- 0) into 0 15.664 * [backup-simplify]: Simplify (+ 0 0) into 0 15.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) (/ 1 a)) (* 0 1))) into (- (/ 1 (pow a 2))) 15.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ (- (/ 1 (pow a 2))) 1)) (* (- PI) (/ 0 1)))) into (/ PI a) 15.668 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI a)) (+ (* 0 (- PI)) (* 0 (* a PI)))) into (* 1/2 (/ PI a)) 15.668 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 15.668 * [taylor]: Taking taylor expansion of 1/2 in a 15.668 * [backup-simplify]: Simplify 1/2 into 1/2 15.668 * [taylor]: Taking taylor expansion of (/ PI a) in a 15.668 * [taylor]: Taking taylor expansion of PI in a 15.668 * [backup-simplify]: Simplify PI into PI 15.668 * [taylor]: Taking taylor expansion of a in a 15.668 * [backup-simplify]: Simplify 0 into 0 15.668 * [backup-simplify]: Simplify 1 into 1 15.669 * [backup-simplify]: Simplify (/ PI 1) into PI 15.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.673 * [backup-simplify]: Simplify 0 into 0 15.674 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.675 * [backup-simplify]: Simplify (- 0) into 0 15.675 * [backup-simplify]: Simplify 0 into 0 15.676 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 15.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 15.678 * [backup-simplify]: Simplify 0 into 0 15.678 * [backup-simplify]: Simplify 0 into 0 15.678 * [backup-simplify]: Simplify (* (/ PI (- (/ 1 (- b)) (/ 1 (- a)))) (/ (/ (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) 2) (+ (/ 1 (- b)) (/ 1 (- a))))) into (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))))) 15.678 * [approximate]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))))) in (b a) around 0 15.678 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))))) in a 15.678 * [taylor]: Taking taylor expansion of -1/2 in a 15.678 * [backup-simplify]: Simplify -1/2 into -1/2 15.678 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b)))) in a 15.679 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 15.679 * [taylor]: Taking taylor expansion of (- b a) in a 15.679 * [taylor]: Taking taylor expansion of b in a 15.679 * [backup-simplify]: Simplify b into b 15.679 * [taylor]: Taking taylor expansion of a in a 15.679 * [backup-simplify]: Simplify 0 into 0 15.679 * [backup-simplify]: Simplify 1 into 1 15.679 * [taylor]: Taking taylor expansion of PI in a 15.679 * [backup-simplify]: Simplify PI into PI 15.679 * [taylor]: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))) in a 15.679 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 15.679 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.679 * [taylor]: Taking taylor expansion of b in a 15.679 * [backup-simplify]: Simplify b into b 15.679 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.679 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.679 * [taylor]: Taking taylor expansion of a in a 15.679 * [backup-simplify]: Simplify 0 into 0 15.679 * [backup-simplify]: Simplify 1 into 1 15.679 * [backup-simplify]: Simplify (/ 1 1) into 1 15.679 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 15.679 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.679 * [taylor]: Taking taylor expansion of a in a 15.679 * [backup-simplify]: Simplify 0 into 0 15.679 * [backup-simplify]: Simplify 1 into 1 15.680 * [backup-simplify]: Simplify (/ 1 1) into 1 15.680 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.680 * [taylor]: Taking taylor expansion of b in a 15.680 * [backup-simplify]: Simplify b into b 15.680 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.680 * [backup-simplify]: Simplify (- 0) into 0 15.680 * [backup-simplify]: Simplify (+ b 0) into b 15.680 * [backup-simplify]: Simplify (* b PI) into (* PI b) 15.680 * [backup-simplify]: Simplify (+ 0 1) into 1 15.681 * [backup-simplify]: Simplify (+ 1 0) into 1 15.681 * [backup-simplify]: Simplify (* 1 1) into 1 15.681 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 15.681 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))))) in b 15.681 * [taylor]: Taking taylor expansion of -1/2 in b 15.681 * [backup-simplify]: Simplify -1/2 into -1/2 15.681 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b)))) in b 15.681 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 15.681 * [taylor]: Taking taylor expansion of (- b a) in b 15.681 * [taylor]: Taking taylor expansion of b in b 15.681 * [backup-simplify]: Simplify 0 into 0 15.681 * [backup-simplify]: Simplify 1 into 1 15.681 * [taylor]: Taking taylor expansion of a in b 15.681 * [backup-simplify]: Simplify a into a 15.681 * [taylor]: Taking taylor expansion of PI in b 15.681 * [backup-simplify]: Simplify PI into PI 15.681 * [taylor]: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))) in b 15.681 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 15.681 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.681 * [taylor]: Taking taylor expansion of b in b 15.681 * [backup-simplify]: Simplify 0 into 0 15.681 * [backup-simplify]: Simplify 1 into 1 15.682 * [backup-simplify]: Simplify (/ 1 1) into 1 15.682 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.682 * [taylor]: Taking taylor expansion of a in b 15.682 * [backup-simplify]: Simplify a into a 15.682 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.682 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 15.682 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.682 * [taylor]: Taking taylor expansion of a in b 15.682 * [backup-simplify]: Simplify a into a 15.682 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.682 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.682 * [taylor]: Taking taylor expansion of b in b 15.682 * [backup-simplify]: Simplify 0 into 0 15.682 * [backup-simplify]: Simplify 1 into 1 15.682 * [backup-simplify]: Simplify (/ 1 1) into 1 15.682 * [backup-simplify]: Simplify (- a) into (- a) 15.682 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 15.682 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 15.683 * [backup-simplify]: Simplify (+ 1 0) into 1 15.683 * [backup-simplify]: Simplify (- 1) into -1 15.683 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.684 * [backup-simplify]: Simplify (* 1 -1) into -1 15.684 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) -1) into (* a PI) 15.684 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* (- b a) PI) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))))) in b 15.684 * [taylor]: Taking taylor expansion of -1/2 in b 15.684 * [backup-simplify]: Simplify -1/2 into -1/2 15.684 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b)))) in b 15.684 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 15.684 * [taylor]: Taking taylor expansion of (- b a) in b 15.684 * [taylor]: Taking taylor expansion of b in b 15.684 * [backup-simplify]: Simplify 0 into 0 15.684 * [backup-simplify]: Simplify 1 into 1 15.684 * [taylor]: Taking taylor expansion of a in b 15.684 * [backup-simplify]: Simplify a into a 15.684 * [taylor]: Taking taylor expansion of PI in b 15.684 * [backup-simplify]: Simplify PI into PI 15.684 * [taylor]: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))) in b 15.684 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 15.684 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.684 * [taylor]: Taking taylor expansion of b in b 15.684 * [backup-simplify]: Simplify 0 into 0 15.684 * [backup-simplify]: Simplify 1 into 1 15.684 * [backup-simplify]: Simplify (/ 1 1) into 1 15.684 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.684 * [taylor]: Taking taylor expansion of a in b 15.684 * [backup-simplify]: Simplify a into a 15.684 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.684 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 15.684 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.684 * [taylor]: Taking taylor expansion of a in b 15.684 * [backup-simplify]: Simplify a into a 15.684 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.684 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.684 * [taylor]: Taking taylor expansion of b in b 15.684 * [backup-simplify]: Simplify 0 into 0 15.684 * [backup-simplify]: Simplify 1 into 1 15.685 * [backup-simplify]: Simplify (/ 1 1) into 1 15.685 * [backup-simplify]: Simplify (- a) into (- a) 15.685 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 15.685 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 15.685 * [backup-simplify]: Simplify (+ 1 0) into 1 15.685 * [backup-simplify]: Simplify (- 1) into -1 15.686 * [backup-simplify]: Simplify (+ 0 -1) into -1 15.686 * [backup-simplify]: Simplify (* 1 -1) into -1 15.686 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) -1) into (* a PI) 15.686 * [backup-simplify]: Simplify (* -1/2 (* a PI)) into (* -1/2 (* a PI)) 15.686 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 15.686 * [taylor]: Taking taylor expansion of -1/2 in a 15.686 * [backup-simplify]: Simplify -1/2 into -1/2 15.686 * [taylor]: Taking taylor expansion of (* a PI) in a 15.686 * [taylor]: Taking taylor expansion of a in a 15.686 * [backup-simplify]: Simplify 0 into 0 15.686 * [backup-simplify]: Simplify 1 into 1 15.686 * [taylor]: Taking taylor expansion of PI in a 15.686 * [backup-simplify]: Simplify PI into PI 15.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.688 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.688 * [backup-simplify]: Simplify (* 0 PI) into 0 15.688 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 15.688 * [backup-simplify]: Simplify 0 into 0 15.689 * [backup-simplify]: Simplify (- 0) into 0 15.689 * [backup-simplify]: Simplify (+ 1 0) into 1 15.689 * [backup-simplify]: Simplify (+ (* (- a) 0) (* 1 PI)) into PI 15.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.690 * [backup-simplify]: Simplify (- 0) into 0 15.690 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 15.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.691 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 15.691 * [backup-simplify]: Simplify (+ (* 1 (/ 1 a)) (* (/ 1 a) -1)) into 0 15.691 * [backup-simplify]: Simplify (- (/ PI -1) (+ (* (* a PI) (/ 0 -1)))) into (- PI) 15.692 * [backup-simplify]: Simplify (+ (* -1/2 (- PI)) (* 0 (* a PI))) into (* 1/2 PI) 15.692 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 15.692 * [taylor]: Taking taylor expansion of 1/2 in a 15.692 * [backup-simplify]: Simplify 1/2 into 1/2 15.692 * [taylor]: Taking taylor expansion of PI in a 15.692 * [backup-simplify]: Simplify PI into PI 15.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.693 * [backup-simplify]: Simplify 0 into 0 15.693 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 15.694 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 15.694 * [backup-simplify]: Simplify 0 into 0 15.694 * [backup-simplify]: Simplify (- 0) into 0 15.694 * [backup-simplify]: Simplify (+ 0 0) into 0 15.695 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (* 0 PI))) into 0 15.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 15.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.696 * [backup-simplify]: Simplify (- 0) into 0 15.696 * [backup-simplify]: Simplify (+ 0 0) into 0 15.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 15.697 * [backup-simplify]: Simplify (+ 0 0) into 0 15.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 a) (/ 1 a)) (* 0 -1))) into (/ 1 (pow a 2)) 15.698 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* a PI) (/ (/ 1 (pow a 2)) -1)) (* (- PI) (/ 0 -1)))) into (/ PI a) 15.699 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI a)) (+ (* 0 (- PI)) (* 0 (* a PI)))) into (- (* 1/2 (/ PI a))) 15.699 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a 15.699 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 15.699 * [taylor]: Taking taylor expansion of 1/2 in a 15.699 * [backup-simplify]: Simplify 1/2 into 1/2 15.699 * [taylor]: Taking taylor expansion of (/ PI a) in a 15.699 * [taylor]: Taking taylor expansion of PI in a 15.699 * [backup-simplify]: Simplify PI into PI 15.699 * [taylor]: Taking taylor expansion of a in a 15.699 * [backup-simplify]: Simplify 0 into 0 15.699 * [backup-simplify]: Simplify 1 into 1 15.699 * [backup-simplify]: Simplify (/ PI 1) into PI 15.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.702 * [backup-simplify]: Simplify (- 0) into 0 15.702 * [backup-simplify]: Simplify 0 into 0 15.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.703 * [backup-simplify]: Simplify 0 into 0 15.703 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 15.704 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 15.704 * [backup-simplify]: Simplify 0 into 0 15.704 * [backup-simplify]: Simplify 0 into 0 15.704 * * * [progress]: simplifying candidates 15.704 * * * * [progress]: [ 1 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 2 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 3 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 4 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 5 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 6 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 7 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 8 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 9 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 10 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 11 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 12 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 13 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 14 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 15 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 16 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 17 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 18 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 19 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 20 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 21 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 22 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 23 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 24 / 677 ] simplifiying candidate # 15.705 * * * * [progress]: [ 25 / 677 ] simplifiying candidate # 15.706 * * * * [progress]: [ 26 / 677 ] simplifiying candidate # 15.706 * * * * [progress]: [ 27 / 677 ] simplifiying candidate # 15.706 * * * * [progress]: [ 28 / 677 ] simplifiying candidate # 15.706 * * * * [progress]: [ 29 / 677 ] simplifiying candidate # 15.706 * * * * [progress]: [ 30 / 677 ] simplifiying candidate # 15.706 * * * * [progress]: [ 31 / 677 ] simplifiying candidate # 15.706 * * * * [progress]: [ 32 / 677 ] simplifiying candidate # 15.706 * * * * [progress]: [ 33 / 677 ] simplifiying candidate # 15.706 * * * * [progress]: [ 34 / 677 ] simplifiying candidate # 15.706 * * * * [progress]: [ 35 / 677 ] simplifiying candidate # 15.706 * * * * [progress]: [ 36 / 677 ] simplifiying candidate # 15.706 * * * * [progress]: [ 37 / 677 ] simplifiying candidate # 15.706 * * * * [progress]: [ 38 / 677 ] simplifiying candidate #real (real->posit16 (/ PI (- b a)))) (/ (/ (- (/ 1 a) (/ 1 b)) 2) (+ b a))))> 15.706 * * * * [progress]: [ 39 / 677 ] simplifiying candidate # 15.706 * * * * [progress]: 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candidate # 15.707 * * * * [progress]: [ 56 / 677 ] simplifiying candidate # 15.707 * * * * [progress]: [ 57 / 677 ] simplifiying candidate # 15.707 * * * * [progress]: [ 58 / 677 ] simplifiying candidate # 15.707 * * * * [progress]: [ 59 / 677 ] simplifiying candidate # 15.707 * * * * [progress]: [ 60 / 677 ] simplifiying candidate # 15.707 * * * * [progress]: [ 61 / 677 ] simplifiying candidate # 15.707 * * * * [progress]: [ 62 / 677 ] simplifiying candidate # 15.707 * * * * [progress]: [ 63 / 677 ] simplifiying candidate # 15.707 * * * * [progress]: [ 64 / 677 ] simplifiying candidate # 15.707 * * * * [progress]: [ 65 / 677 ] simplifiying candidate # 15.707 * * * * [progress]: [ 66 / 677 ] simplifiying candidate # 15.707 * * * * [progress]: [ 67 / 677 ] simplifiying candidate # 15.707 * * * * [progress]: [ 68 / 677 ] simplifiying candidate # 15.708 * * * * [progress]: [ 69 / 677 ] simplifiying candidate # 15.708 * * * * [progress]: [ 70 / 677 ] simplifiying candidate # 15.708 * * * 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] simplifiying candidate # 15.709 * * * * [progress]: [ 87 / 677 ] simplifiying candidate # 15.709 * * * * [progress]: [ 88 / 677 ] simplifiying candidate # 15.709 * * * * [progress]: [ 89 / 677 ] simplifiying candidate # 15.709 * * * * [progress]: [ 90 / 677 ] simplifiying candidate # 15.709 * * * * [progress]: [ 91 / 677 ] simplifiying candidate # 15.709 * * * * [progress]: [ 92 / 677 ] simplifiying candidate # 15.709 * * * * [progress]: [ 93 / 677 ] simplifiying candidate # 15.709 * * * * [progress]: [ 94 / 677 ] simplifiying candidate # 15.709 * * * * [progress]: [ 95 / 677 ] simplifiying candidate # 15.709 * * * * [progress]: [ 96 / 677 ] simplifiying candidate # 15.710 * * * * [progress]: [ 97 / 677 ] simplifiying candidate # 15.710 * * * * [progress]: [ 98 / 677 ] simplifiying candidate # 15.710 * * * * [progress]: [ 99 / 677 ] simplifiying candidate # 15.710 * * * * [progress]: [ 100 / 677 ] simplifiying candidate # 15.710 * * * * [progress]: [ 101 / 677 ] simplifiying candidate # 15.710 * * * * [progress]: [ 102 / 677 ] simplifiying candidate # 15.710 * * * * [progress]: [ 103 / 677 ] simplifiying candidate # 15.710 * * * * [progress]: [ 104 / 677 ] simplifiying candidate # 15.710 * * * * [progress]: [ 105 / 677 ] simplifiying candidate # 15.710 * * * * [progress]: [ 106 / 677 ] simplifiying candidate # 15.710 * * * * [progress]: [ 107 / 677 ] simplifiying candidate # 15.710 * * * * [progress]: [ 108 / 677 ] simplifiying candidate # 15.710 * * * * [progress]: [ 109 / 677 ] simplifiying candidate # 15.710 * * * * [progress]: [ 110 / 677 ] simplifiying candidate # 15.711 * * * * [progress]: [ 111 / 677 ] simplifiying candidate # 15.711 * * * * [progress]: [ 112 / 677 ] simplifiying candidate # 15.711 * * * * [progress]: [ 113 / 677 ] simplifiying candidate # 15.711 * * * * [progress]: [ 114 / 677 ] simplifiying candidate # 15.711 * * * * [progress]: [ 115 / 677 ] simplifiying candidate # 15.711 * * * * [progress]: [ 116 / 677 ] simplifiying candidate # 15.711 * * * * [progress]: [ 117 / 677 ] simplifiying candidate # 15.711 * * * * [progress]: [ 118 / 677 ] simplifiying candidate # 15.711 * * * * [progress]: [ 119 / 677 ] simplifiying candidate # 15.711 * * * * [progress]: [ 120 / 677 ] simplifiying candidate # 15.711 * * * * [progress]: [ 121 / 677 ] simplifiying candidate # 15.711 * * * * [progress]: [ 122 / 677 ] simplifiying candidate # 15.711 * * * * [progress]: [ 123 / 677 ] simplifiying candidate # 15.711 * * * * [progress]: [ 124 / 677 ] simplifiying candidate # 15.712 * * * * [progress]: [ 125 / 677 ] simplifiying candidate # 15.712 * * * * [progress]: [ 126 / 677 ] simplifiying candidate # 15.712 * * * * [progress]: [ 127 / 677 ] simplifiying candidate # 15.712 * * * * [progress]: [ 128 / 677 ] simplifiying candidate # 15.712 * * * * [progress]: [ 129 / 677 ] simplifiying candidate # 15.712 * * * * [progress]: [ 130 / 677 ] simplifiying candidate # 15.712 * * * * [progress]: [ 131 / 677 ] simplifiying candidate # 15.712 * 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677 ] simplifiying candidate # 15.755 * * * * [progress]: [ 671 / 677 ] simplifiying candidate # 15.755 * * * * [progress]: [ 672 / 677 ] simplifiying candidate # 15.755 * * * * [progress]: [ 673 / 677 ] simplifiying candidate # 15.755 * * * * [progress]: [ 674 / 677 ] simplifiying candidate # 15.755 * * * * [progress]: [ 675 / 677 ] simplifiying candidate # 15.755 * * * * [progress]: [ 676 / 677 ] simplifiying candidate # 15.755 * * * * [progress]: [ 677 / 677 ] simplifiying candidate # 15.780 * [simplify]: Simplifying: (- (log PI) (log (- b a))) (log (/ PI (- b a))) (exp (/ PI (- b a))) (/ (* (* PI PI) PI) (* (* (- b a) (- b a)) (- 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) (- (- b a)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (cbrt PI) (cbrt (- b a))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (- b a))) (/ (cbrt PI) (sqrt (- b a))) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (- b a)) (/ (* (cbrt PI) (cbrt PI)) (+ (sqrt b) (sqrt a))) (/ (cbrt PI) (- (sqrt b) (sqrt a))) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (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) 1) (/ (sqrt PI) (- b a)) (/ (sqrt PI) (+ (sqrt b) (sqrt a))) (/ (sqrt PI) (- (sqrt b) (sqrt a))) (/ (sqrt PI) 1) (/ (sqrt PI) (- b a)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ PI (cbrt (- b a))) (/ 1 (sqrt (- b a))) (/ PI (sqrt (- b a))) (/ 1 1) (/ PI (- b a)) (/ 1 (+ (sqrt b) (sqrt a))) (/ PI (- (sqrt b) (sqrt a))) (/ 1 1) (/ PI (- b a)) (/ 1 (- b a)) (/ (- b a) PI) (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) (/ PI (sqrt (- b a))) (/ PI 1) (/ PI (+ (sqrt b) (sqrt a))) (/ PI 1) (/ (- b a) (cbrt PI)) (/ (- b a) (sqrt PI)) (/ (- b a) PI) (/ PI (- (pow b 3) (pow a 3))) (/ PI (- (* b b) (* a a))) (real->posit16 (/ PI (- b a))) (- (- (log (- (/ 1 a) (/ 1 b))) (log 2)) (log (+ b a))) (- (log (/ (- (/ 1 a) (/ 1 b)) 2)) (log (+ b a))) (log (/ (/ (- (/ 1 a) (/ 1 b)) 2) (+ b a))) (exp (/ (/ (- (/ 1 a) (/ 1 b)) 2) (+ b a))) (/ (/ (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (* (* 2 2) 2)) (* (* (+ b a) (+ b a)) (+ b a))) (/ (* (* (/ (- (/ 1 a) (/ 1 b)) 2) (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (- (/ 1 a) (/ 1 b)) 2)) (* (* (+ b a) (+ b a)) (+ b a))) (* (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) 2) (+ b a))) (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) 2) (+ b a)))) (cbrt (/ (/ (- (/ 1 a) (/ 1 b)) 2) (+ b a))) (* (* (/ (/ (- (/ 1 a) (/ 1 b)) 2) (+ b a)) (/ (/ (- (/ 1 a) (/ 1 b)) 2) (+ b a))) (/ (/ (- (/ 1 a) (/ 1 b)) 2) (+ b a))) (sqrt (/ (/ (- (/ 1 a) (/ 1 b)) 2) (+ b a))) (sqrt (/ (/ (- (/ 1 a) (/ 1 b)) 2) (+ b a))) (- (/ (- (/ 1 a) (/ 1 b)) 2)) (- (+ b a)) (/ (/ (/ 1 a) 2) (+ b a)) (/ (/ (/ 1 b) 2) (+ b a)) (/ (* (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt (/ (- (/ 1 a) (/ 1 b)) 2))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (cbrt (/ (- (/ 1 a) (/ 1 b)) 2)) (cbrt 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(+ a b)) (- (sqrt b) (sqrt a))) (* (/ (/ (- (/ 1 a) (/ 1 b)) 2) (+ a b)) (/ PI (- b a))) (* (/ (/ (- (/ 1 a) (/ 1 b)) 2) (+ a b)) (/ PI (- b a))) (/ (* 1 (/ (/ (- (/ 1 a) (/ 1 b)) 2) (+ a b))) (- b a)) (/ (* (+ (* b b) (* a (+ a b))) (/ (- (/ 1 a) (/ 1 b)) 2)) (+ a b)) (/ (* (+ a b) (/ (- (/ 1 a) (/ 1 b)) 2)) (+ a b)) (* (/ PI (- b a)) (/ (- (/ 1 a) (/ 1 b)) 2)) (/ (/ (* PI (- (/ 1 a) (/ 1 b))) 2) (+ a b)) (real->posit16 (* (/ (/ (- (/ 1 a) (/ 1 b)) 2) (+ a b)) (/ PI (- b a)))) 0 0 0 (/ (/ 1/2 a) b) (/ (/ -1/2 a) b) (/ (/ -1/2 a) b) 0 0 0 16.811 * * * [progress]: adding candidates to table 25.066 * [progress]: [Phase 3 of 3] Extracting. 25.066 * * [regime]: Finding splitpoints for: (# # # # # #) 25.068 * * * [regime-changes]: Trying 2 branch expressions: (a b) 25.068 * * * * [regimes]: Trying to branch on a from (# # # # # #) 25.119 * * * * [regimes]: Trying to branch on b from (# # # # # #) 25.190 * * * [regime]: Found split indices: #