0.003 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.081 * * * [progress]: [2/2] Setting up program. 0.084 * [progress]: [Phase 2 of 3] Improving. 0.084 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.084 * [simplify]: Simplifying: (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) 0.085 * * [simplify]: iteration 1: (15 enodes) 0.091 * * [simplify]: iteration 2: (63 enodes) 0.113 * * [simplify]: iteration 3: (130 enodes) 0.144 * * [simplify]: iteration 4: (399 enodes) 0.419 * * [simplify]: iteration 5: (1393 enodes) 2.272 * * [simplify]: Extracting #0: cost 1 inf + 0 2.273 * * [simplify]: Extracting #1: cost 144 inf + 0 2.278 * * [simplify]: Extracting #2: cost 660 inf + 172 2.290 * * [simplify]: Extracting #3: cost 678 inf + 15851 2.337 * * [simplify]: Extracting #4: cost 168 inf + 103728 2.396 * * [simplify]: Extracting #5: cost 0 inf + 133637 2.447 * * [simplify]: Extracting #6: cost 0 inf + 133336 2.511 * [simplify]: Simplified to: (/ (- (/ PI a) (/ PI b)) (* (+ a b) (* 2 (- b a)))) 2.522 * * [progress]: iteration 1 / 4 2.522 * * * [progress]: picking best candidate 2.531 * * * * [pick]: Picked # 2.531 * * * [progress]: localizing error 2.576 * * * [progress]: generating rewritten candidates 2.577 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.658 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.662 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 2.665 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.688 * * * [progress]: generating series expansions 2.688 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.688 * [backup-simplify]: Simplify (/ (- (/ PI a) (/ PI b)) (* (+ a b) (* 2 (- b a)))) into (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) 2.688 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in (a b) around 0 2.688 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in b 2.688 * [taylor]: Taking taylor expansion of 1/2 in b 2.688 * [backup-simplify]: Simplify 1/2 into 1/2 2.688 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in b 2.689 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b 2.689 * [taylor]: Taking taylor expansion of (/ PI a) in b 2.689 * [taylor]: Taking taylor expansion of PI in b 2.689 * [backup-simplify]: Simplify PI into PI 2.689 * [taylor]: Taking taylor expansion of a in b 2.689 * [backup-simplify]: Simplify a into a 2.689 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.689 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.689 * [taylor]: Taking taylor expansion of PI in b 2.689 * [backup-simplify]: Simplify PI into PI 2.689 * [taylor]: Taking taylor expansion of b in b 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 1 into 1 2.690 * [backup-simplify]: Simplify (/ PI 1) into PI 2.690 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 2.690 * [taylor]: Taking taylor expansion of (- b a) in b 2.690 * [taylor]: Taking taylor expansion of b in b 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify 1 into 1 2.690 * [taylor]: Taking taylor expansion of a in b 2.690 * [backup-simplify]: Simplify a into a 2.690 * [taylor]: Taking taylor expansion of (+ a b) in b 2.690 * [taylor]: Taking taylor expansion of a in b 2.690 * [backup-simplify]: Simplify a into a 2.690 * [taylor]: Taking taylor expansion of b in b 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify 1 into 1 2.690 * [backup-simplify]: Simplify (- PI) into (- PI) 2.691 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 2.691 * [backup-simplify]: Simplify (- a) into (- a) 2.691 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 2.691 * [backup-simplify]: Simplify (+ a 0) into a 2.691 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 2.691 * [backup-simplify]: Simplify (/ (- PI) (* -1 (pow a 2))) into (/ PI (pow a 2)) 2.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in a 2.691 * [taylor]: Taking taylor expansion of 1/2 in a 2.691 * [backup-simplify]: Simplify 1/2 into 1/2 2.691 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in a 2.691 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 2.691 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.691 * [taylor]: Taking taylor expansion of PI in a 2.691 * [backup-simplify]: Simplify PI into PI 2.691 * [taylor]: Taking taylor expansion of a in a 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.692 * [backup-simplify]: Simplify (/ PI 1) into PI 2.692 * [taylor]: Taking taylor expansion of (/ PI b) in a 2.692 * [taylor]: Taking taylor expansion of PI in a 2.692 * [backup-simplify]: Simplify PI into PI 2.692 * [taylor]: Taking taylor expansion of b in a 2.692 * [backup-simplify]: Simplify b into b 2.692 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.692 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 2.692 * [taylor]: Taking taylor expansion of (- b a) in a 2.692 * [taylor]: Taking taylor expansion of b in a 2.692 * [backup-simplify]: Simplify b into b 2.692 * [taylor]: Taking taylor expansion of a in a 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [taylor]: Taking taylor expansion of (+ a b) in a 2.692 * [taylor]: Taking taylor expansion of a in a 2.692 * [backup-simplify]: Simplify 0 into 0 2.692 * [backup-simplify]: Simplify 1 into 1 2.692 * [taylor]: Taking taylor expansion of b in a 2.692 * [backup-simplify]: Simplify b into b 2.692 * [backup-simplify]: Simplify (+ PI 0) into PI 2.693 * [backup-simplify]: Simplify (- 0) into 0 2.693 * [backup-simplify]: Simplify (+ b 0) into b 2.693 * [backup-simplify]: Simplify (+ 0 b) into b 2.693 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.693 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 2.693 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in a 2.693 * [taylor]: Taking taylor expansion of 1/2 in a 2.693 * [backup-simplify]: Simplify 1/2 into 1/2 2.693 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in a 2.693 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 2.693 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.693 * [taylor]: Taking taylor expansion of PI in a 2.693 * [backup-simplify]: Simplify PI into PI 2.693 * [taylor]: Taking taylor expansion of a in a 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify 1 into 1 2.694 * [backup-simplify]: Simplify (/ PI 1) into PI 2.694 * [taylor]: Taking taylor expansion of (/ PI b) in a 2.694 * [taylor]: Taking taylor expansion of PI in a 2.694 * [backup-simplify]: Simplify PI into PI 2.694 * [taylor]: Taking taylor expansion of b in a 2.694 * [backup-simplify]: Simplify b into b 2.694 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.694 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 2.694 * [taylor]: Taking taylor expansion of (- b a) in a 2.694 * [taylor]: Taking taylor expansion of b in a 2.694 * [backup-simplify]: Simplify b into b 2.694 * [taylor]: Taking taylor expansion of a in a 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify 1 into 1 2.694 * [taylor]: Taking taylor expansion of (+ a b) in a 2.694 * [taylor]: Taking taylor expansion of a in a 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify 1 into 1 2.694 * [taylor]: Taking taylor expansion of b in a 2.694 * [backup-simplify]: Simplify b into b 2.695 * [backup-simplify]: Simplify (+ PI 0) into PI 2.695 * [backup-simplify]: Simplify (- 0) into 0 2.695 * [backup-simplify]: Simplify (+ b 0) into b 2.695 * [backup-simplify]: Simplify (+ 0 b) into b 2.695 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.695 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 2.695 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 2.695 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.695 * [taylor]: Taking taylor expansion of 1/2 in b 2.695 * [backup-simplify]: Simplify 1/2 into 1/2 2.695 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.695 * [taylor]: Taking taylor expansion of PI in b 2.695 * [backup-simplify]: Simplify PI into PI 2.695 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.695 * [taylor]: Taking taylor expansion of b in b 2.695 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify 1 into 1 2.696 * [backup-simplify]: Simplify (* 1 1) into 1 2.696 * [backup-simplify]: Simplify (/ PI 1) into PI 2.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.698 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.699 * [backup-simplify]: Simplify (- (/ PI b)) into (- (/ PI b)) 2.699 * [backup-simplify]: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) 2.699 * [backup-simplify]: Simplify (+ 1 0) into 1 2.699 * [backup-simplify]: Simplify (- 1) into -1 2.699 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.700 * [backup-simplify]: Simplify (+ (* b 1) (* -1 b)) into 0 2.700 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into (- (/ PI (pow b 3))) 2.700 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 2.700 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 2.700 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 2.700 * [taylor]: Taking taylor expansion of 1/2 in b 2.700 * [backup-simplify]: Simplify 1/2 into 1/2 2.700 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.700 * [taylor]: Taking taylor expansion of PI in b 2.700 * [backup-simplify]: Simplify PI into PI 2.700 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.700 * [taylor]: Taking taylor expansion of b in b 2.700 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify 1 into 1 2.701 * [backup-simplify]: Simplify (* 1 1) into 1 2.701 * [backup-simplify]: Simplify (* 1 1) into 1 2.701 * [backup-simplify]: Simplify (/ PI 1) into PI 2.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.705 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.705 * [backup-simplify]: Simplify (- 0) into 0 2.705 * [backup-simplify]: Simplify 0 into 0 2.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.707 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.707 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.707 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 2.708 * [backup-simplify]: Simplify (- 0) into 0 2.708 * [backup-simplify]: Simplify (+ 0 0) into 0 2.708 * [backup-simplify]: Simplify (+ 0 0) into 0 2.708 * [backup-simplify]: Simplify (- 0) into 0 2.709 * [backup-simplify]: Simplify (+ 0 0) into 0 2.709 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 1) (* 0 b))) into (- 1) 2.709 * [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)) 2.710 * [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))) 2.710 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 2.710 * [taylor]: Taking taylor expansion of 1/2 in b 2.710 * [backup-simplify]: Simplify 1/2 into 1/2 2.710 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 2.710 * [taylor]: Taking taylor expansion of PI in b 2.710 * [backup-simplify]: Simplify PI into PI 2.710 * [taylor]: Taking taylor expansion of (pow b 4) in b 2.710 * [taylor]: Taking taylor expansion of b in b 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.710 * [backup-simplify]: Simplify (* 1 1) into 1 2.710 * [backup-simplify]: Simplify (* 1 1) into 1 2.711 * [backup-simplify]: Simplify (/ PI 1) into PI 2.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.716 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.719 * [backup-simplify]: Simplify (- 0) into 0 2.719 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.723 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (* (+ (/ 1 a) (/ 1 b)) (* 2 (- (/ 1 b) (/ 1 a))))) into (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) 2.723 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in (a b) around 0 2.723 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in b 2.723 * [taylor]: Taking taylor expansion of 1/2 in b 2.723 * [backup-simplify]: Simplify 1/2 into 1/2 2.723 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 2.723 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in b 2.723 * [taylor]: Taking taylor expansion of (* a PI) in b 2.724 * [taylor]: Taking taylor expansion of a in b 2.724 * [backup-simplify]: Simplify a into a 2.724 * [taylor]: Taking taylor expansion of PI in b 2.724 * [backup-simplify]: Simplify PI into PI 2.724 * [taylor]: Taking taylor expansion of (* PI b) in b 2.724 * [taylor]: Taking taylor expansion of PI in b 2.724 * [backup-simplify]: Simplify PI into PI 2.724 * [taylor]: Taking taylor expansion of b in b 2.724 * [backup-simplify]: Simplify 0 into 0 2.724 * [backup-simplify]: Simplify 1 into 1 2.724 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 2.724 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 2.724 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.724 * [taylor]: Taking taylor expansion of b in b 2.724 * [backup-simplify]: Simplify 0 into 0 2.724 * [backup-simplify]: Simplify 1 into 1 2.724 * [backup-simplify]: Simplify (/ 1 1) into 1 2.724 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.724 * [taylor]: Taking taylor expansion of a in b 2.724 * [backup-simplify]: Simplify a into a 2.724 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.724 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.725 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.725 * [taylor]: Taking taylor expansion of a in b 2.725 * [backup-simplify]: Simplify a into a 2.725 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.725 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.725 * [taylor]: Taking taylor expansion of b in b 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify 1 into 1 2.725 * [backup-simplify]: Simplify (/ 1 1) into 1 2.725 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.726 * [backup-simplify]: Simplify (* PI 0) into 0 2.726 * [backup-simplify]: Simplify (- 0) into 0 2.726 * [backup-simplify]: Simplify (+ (* a PI) 0) into (* a PI) 2.727 * [backup-simplify]: Simplify (+ 1 0) into 1 2.727 * [backup-simplify]: Simplify (+ 0 1) into 1 2.727 * [backup-simplify]: Simplify (* 1 1) into 1 2.728 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 2.728 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in a 2.728 * [taylor]: Taking taylor expansion of 1/2 in a 2.728 * [backup-simplify]: Simplify 1/2 into 1/2 2.728 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 2.728 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 2.728 * [taylor]: Taking taylor expansion of (* a PI) in a 2.728 * [taylor]: Taking taylor expansion of a in a 2.728 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify 1 into 1 2.728 * [taylor]: Taking taylor expansion of PI in a 2.728 * [backup-simplify]: Simplify PI into PI 2.728 * [taylor]: Taking taylor expansion of (* PI b) in a 2.728 * [taylor]: Taking taylor expansion of PI in a 2.728 * [backup-simplify]: Simplify PI into PI 2.728 * [taylor]: Taking taylor expansion of b in a 2.728 * [backup-simplify]: Simplify b into b 2.728 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 2.728 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 2.728 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.728 * [taylor]: Taking taylor expansion of b in a 2.728 * [backup-simplify]: Simplify b into b 2.728 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.728 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.728 * [taylor]: Taking taylor expansion of a in a 2.728 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify 1 into 1 2.729 * [backup-simplify]: Simplify (/ 1 1) into 1 2.729 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.729 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.729 * [taylor]: Taking taylor expansion of a in a 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 1 into 1 2.729 * [backup-simplify]: Simplify (/ 1 1) into 1 2.729 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.729 * [taylor]: Taking taylor expansion of b in a 2.729 * [backup-simplify]: Simplify b into b 2.729 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.730 * [backup-simplify]: Simplify (* 0 PI) into 0 2.730 * [backup-simplify]: Simplify (* PI b) into (* b PI) 2.730 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 2.730 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 2.730 * [backup-simplify]: Simplify (- 1) into -1 2.731 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.731 * [backup-simplify]: Simplify (+ 1 0) into 1 2.731 * [backup-simplify]: Simplify (* -1 1) into -1 2.731 * [backup-simplify]: Simplify (/ (- (* PI b)) -1) into (* b PI) 2.731 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in a 2.731 * [taylor]: Taking taylor expansion of 1/2 in a 2.731 * [backup-simplify]: Simplify 1/2 into 1/2 2.731 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 2.731 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 2.731 * [taylor]: Taking taylor expansion of (* a PI) in a 2.731 * [taylor]: Taking taylor expansion of a in a 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 1 into 1 2.731 * [taylor]: Taking taylor expansion of PI in a 2.731 * [backup-simplify]: Simplify PI into PI 2.731 * [taylor]: Taking taylor expansion of (* PI b) in a 2.731 * [taylor]: Taking taylor expansion of PI in a 2.732 * [backup-simplify]: Simplify PI into PI 2.732 * [taylor]: Taking taylor expansion of b in a 2.732 * [backup-simplify]: Simplify b into b 2.732 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 2.732 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 2.732 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.732 * [taylor]: Taking taylor expansion of b in a 2.732 * [backup-simplify]: Simplify b into b 2.732 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.732 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.732 * [taylor]: Taking taylor expansion of a in a 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 1 into 1 2.732 * [backup-simplify]: Simplify (/ 1 1) into 1 2.732 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.732 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.732 * [taylor]: Taking taylor expansion of a in a 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 1 into 1 2.732 * [backup-simplify]: Simplify (/ 1 1) into 1 2.732 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.732 * [taylor]: Taking taylor expansion of b in a 2.732 * [backup-simplify]: Simplify b into b 2.732 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.733 * [backup-simplify]: Simplify (* 0 PI) into 0 2.733 * [backup-simplify]: Simplify (* PI b) into (* b PI) 2.733 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 2.733 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 2.733 * [backup-simplify]: Simplify (- 1) into -1 2.733 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.734 * [backup-simplify]: Simplify (+ 1 0) into 1 2.734 * [backup-simplify]: Simplify (* -1 1) into -1 2.734 * [backup-simplify]: Simplify (/ (- (* PI b)) -1) into (* b PI) 2.734 * [backup-simplify]: Simplify (* 1/2 (* b PI)) into (* 1/2 (* b PI)) 2.734 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 2.734 * [taylor]: Taking taylor expansion of 1/2 in b 2.734 * [backup-simplify]: Simplify 1/2 into 1/2 2.734 * [taylor]: Taking taylor expansion of (* b PI) in b 2.734 * [taylor]: Taking taylor expansion of b in b 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify 1 into 1 2.734 * [taylor]: Taking taylor expansion of PI in b 2.734 * [backup-simplify]: Simplify PI into PI 2.735 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.736 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.736 * [backup-simplify]: Simplify (* 0 PI) into 0 2.736 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.738 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 2.738 * [backup-simplify]: Simplify (- 0) into 0 2.738 * [backup-simplify]: Simplify (+ PI 0) into PI 2.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.739 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.739 * [backup-simplify]: Simplify (- 0) into 0 2.740 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 2.740 * [backup-simplify]: Simplify (+ (* -1 (/ 1 b)) (* (/ 1 b) 1)) into 0 2.740 * [backup-simplify]: Simplify (- (/ PI -1) (+ (* (* b PI) (/ 0 -1)))) into (- PI) 2.741 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* b PI))) into (- (* 1/2 PI)) 2.741 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 2.741 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.741 * [taylor]: Taking taylor expansion of 1/2 in b 2.741 * [backup-simplify]: Simplify 1/2 into 1/2 2.741 * [taylor]: Taking taylor expansion of PI in b 2.741 * [backup-simplify]: Simplify PI into PI 2.741 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.742 * [backup-simplify]: Simplify (- 0) into 0 2.742 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.743 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.744 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 2.744 * [backup-simplify]: Simplify (- 0) into 0 2.745 * [backup-simplify]: Simplify (+ 0 0) into 0 2.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.745 * [backup-simplify]: Simplify (+ 0 0) into 0 2.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.746 * [backup-simplify]: Simplify (- 0) into 0 2.747 * [backup-simplify]: Simplify (+ 0 0) into 0 2.747 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 2.748 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* b PI) (/ (/ 1 (pow b 2)) -1)) (* (- PI) (/ 0 -1)))) into (/ PI b) 2.748 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* b PI)))) into (* 1/2 (/ PI b)) 2.748 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.748 * [taylor]: Taking taylor expansion of 1/2 in b 2.748 * [backup-simplify]: Simplify 1/2 into 1/2 2.748 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.749 * [taylor]: Taking taylor expansion of PI in b 2.749 * [backup-simplify]: Simplify PI into PI 2.749 * [taylor]: Taking taylor expansion of b in b 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 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.751 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.752 * [backup-simplify]: Simplify (- 0) into 0 2.752 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.754 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) (* 2 (- (/ 1 (- b)) (/ 1 (- a)))))) into (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) 2.754 * [approximate]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in (a b) around 0 2.754 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in b 2.754 * [taylor]: Taking taylor expansion of -1/2 in b 2.754 * [backup-simplify]: Simplify -1/2 into -1/2 2.754 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in b 2.754 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in b 2.754 * [taylor]: Taking taylor expansion of (* b PI) in b 2.754 * [taylor]: Taking taylor expansion of b in b 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 1 into 1 2.754 * [taylor]: Taking taylor expansion of PI in b 2.754 * [backup-simplify]: Simplify PI into PI 2.754 * [taylor]: Taking taylor expansion of (* a PI) in b 2.754 * [taylor]: Taking taylor expansion of a in b 2.754 * [backup-simplify]: Simplify a into a 2.754 * [taylor]: Taking taylor expansion of PI in b 2.754 * [backup-simplify]: Simplify PI into PI 2.754 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in b 2.754 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 2.754 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.754 * [taylor]: Taking taylor expansion of a in b 2.754 * [backup-simplify]: Simplify a into a 2.754 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.754 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.755 * [taylor]: Taking taylor expansion of b in b 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 1 into 1 2.755 * [backup-simplify]: Simplify (/ 1 1) into 1 2.755 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.755 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.755 * [taylor]: Taking taylor expansion of a in b 2.755 * [backup-simplify]: Simplify a into a 2.755 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.755 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.755 * [taylor]: Taking taylor expansion of b in b 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 1 into 1 2.755 * [backup-simplify]: Simplify (/ 1 1) into 1 2.756 * [backup-simplify]: Simplify (* 0 PI) into 0 2.756 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.756 * [backup-simplify]: Simplify (- (* a PI)) into (- (* a PI)) 2.756 * [backup-simplify]: Simplify (+ 0 (- (* a PI))) into (- (* a PI)) 2.756 * [backup-simplify]: Simplify (- 1) into -1 2.756 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.757 * [backup-simplify]: Simplify (+ 0 1) into 1 2.757 * [backup-simplify]: Simplify (* -1 1) into -1 2.757 * [backup-simplify]: Simplify (/ (- (* a PI)) -1) into (* a PI) 2.757 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in a 2.757 * [taylor]: Taking taylor expansion of -1/2 in a 2.757 * [backup-simplify]: Simplify -1/2 into -1/2 2.757 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in a 2.757 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 2.757 * [taylor]: Taking taylor expansion of (* b PI) in a 2.757 * [taylor]: Taking taylor expansion of b in a 2.757 * [backup-simplify]: Simplify b into b 2.757 * [taylor]: Taking taylor expansion of PI in a 2.757 * [backup-simplify]: Simplify PI into PI 2.757 * [taylor]: Taking taylor expansion of (* a PI) in a 2.757 * [taylor]: Taking taylor expansion of a in a 2.757 * [backup-simplify]: Simplify 0 into 0 2.757 * [backup-simplify]: Simplify 1 into 1 2.757 * [taylor]: Taking taylor expansion of PI in a 2.757 * [backup-simplify]: Simplify PI into PI 2.757 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in a 2.757 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 2.757 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.757 * [taylor]: Taking taylor expansion of a in a 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 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.758 * [taylor]: Taking taylor expansion of b in a 2.758 * [backup-simplify]: Simplify b into b 2.758 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.758 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.758 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.758 * [taylor]: Taking taylor expansion of a in a 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify 1 into 1 2.758 * [backup-simplify]: Simplify (/ 1 1) into 1 2.758 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.758 * [taylor]: Taking taylor expansion of b in a 2.758 * [backup-simplify]: Simplify b into b 2.758 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.758 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.759 * [backup-simplify]: Simplify (* 0 PI) into 0 2.759 * [backup-simplify]: Simplify (- 0) into 0 2.759 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 2.759 * [backup-simplify]: Simplify (+ 1 0) into 1 2.759 * [backup-simplify]: Simplify (+ 1 0) into 1 2.760 * [backup-simplify]: Simplify (* 1 1) into 1 2.760 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.760 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in a 2.760 * [taylor]: Taking taylor expansion of -1/2 in a 2.760 * [backup-simplify]: Simplify -1/2 into -1/2 2.760 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in a 2.760 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 2.760 * [taylor]: Taking taylor expansion of (* b PI) in a 2.760 * [taylor]: Taking taylor expansion of b in a 2.760 * [backup-simplify]: Simplify b into b 2.760 * [taylor]: Taking taylor expansion of PI in a 2.760 * [backup-simplify]: Simplify PI into PI 2.760 * [taylor]: Taking taylor expansion of (* a PI) in a 2.760 * [taylor]: Taking taylor expansion of a in a 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 1 into 1 2.760 * [taylor]: Taking taylor expansion of PI in a 2.760 * [backup-simplify]: Simplify PI into PI 2.760 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in a 2.760 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 2.760 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.760 * [taylor]: Taking taylor expansion of a in a 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 1 into 1 2.760 * [backup-simplify]: Simplify (/ 1 1) into 1 2.760 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.760 * [taylor]: Taking taylor expansion of b in a 2.760 * [backup-simplify]: Simplify b into b 2.760 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.760 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.760 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.760 * [taylor]: Taking taylor expansion of a in a 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 1 into 1 2.761 * [backup-simplify]: Simplify (/ 1 1) into 1 2.761 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.761 * [taylor]: Taking taylor expansion of b in a 2.761 * [backup-simplify]: Simplify b into b 2.761 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.761 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.761 * [backup-simplify]: Simplify (* 0 PI) into 0 2.761 * [backup-simplify]: Simplify (- 0) into 0 2.761 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 2.762 * [backup-simplify]: Simplify (+ 1 0) into 1 2.767 * [backup-simplify]: Simplify (+ 1 0) into 1 2.767 * [backup-simplify]: Simplify (* 1 1) into 1 2.768 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.768 * [backup-simplify]: Simplify (* -1/2 (* PI b)) into (* -1/2 (* PI b)) 2.768 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 2.768 * [taylor]: Taking taylor expansion of -1/2 in b 2.768 * [backup-simplify]: Simplify -1/2 into -1/2 2.768 * [taylor]: Taking taylor expansion of (* PI b) in b 2.768 * [taylor]: Taking taylor expansion of PI in b 2.768 * [backup-simplify]: Simplify PI into PI 2.768 * [taylor]: Taking taylor expansion of b in b 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 1 into 1 2.769 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 2.770 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 2.771 * [backup-simplify]: Simplify (* PI 0) into 0 2.772 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 2.774 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.774 * [backup-simplify]: Simplify (- PI) into (- PI) 2.775 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 2.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.775 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.776 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 2.776 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 2.776 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (- (/ 1 b)) 1)) into 0 2.777 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ 0 1)))) into (- PI) 2.778 * [backup-simplify]: Simplify (+ (* -1/2 (- PI)) (* 0 (* PI b))) into (* 1/2 PI) 2.778 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.778 * [taylor]: Taking taylor expansion of 1/2 in b 2.778 * [backup-simplify]: Simplify 1/2 into 1/2 2.778 * [taylor]: Taking taylor expansion of PI in b 2.778 * [backup-simplify]: Simplify PI into PI 2.778 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.778 * [backup-simplify]: Simplify 0 into 0 2.779 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.780 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.780 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 2.781 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.781 * [backup-simplify]: Simplify (- 0) into 0 2.782 * [backup-simplify]: Simplify (+ 0 0) into 0 2.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.782 * [backup-simplify]: Simplify (+ 0 0) into 0 2.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.783 * [backup-simplify]: Simplify (- 0) into 0 2.784 * [backup-simplify]: Simplify (+ 0 0) into 0 2.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) (/ 1 b)) (* 0 1))) into (- (/ 1 (pow b 2))) 2.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* (- PI) (/ 0 1)))) into (/ PI b) 2.785 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (- (* 1/2 (/ PI b))) 2.786 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 2.786 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.786 * [taylor]: Taking taylor expansion of 1/2 in b 2.786 * [backup-simplify]: Simplify 1/2 into 1/2 2.786 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.786 * [taylor]: Taking taylor expansion of PI in b 2.786 * [backup-simplify]: Simplify PI into PI 2.786 * [taylor]: Taking taylor expansion of b in b 2.786 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify 1 into 1 2.786 * [backup-simplify]: Simplify (/ PI 1) into PI 2.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.789 * [backup-simplify]: Simplify (- 0) into 0 2.789 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.789 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.791 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.791 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.791 * [approximate]: Taking taylor expansion of (/ PI a) in (a) around 0 2.791 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.791 * [taylor]: Taking taylor expansion of PI in a 2.791 * [backup-simplify]: Simplify PI into PI 2.791 * [taylor]: Taking taylor expansion of a in a 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify 1 into 1 2.792 * [backup-simplify]: Simplify (/ PI 1) into PI 2.792 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.792 * [taylor]: Taking taylor expansion of PI in a 2.792 * [backup-simplify]: Simplify PI into PI 2.792 * [taylor]: Taking taylor expansion of a in a 2.792 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify 1 into 1 2.792 * [backup-simplify]: Simplify (/ PI 1) into PI 2.792 * [backup-simplify]: Simplify PI into PI 2.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.793 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.793 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.795 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.795 * [backup-simplify]: Simplify 0 into 0 2.796 * [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 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify (* PI (/ 1 a)) into (/ PI a) 2.796 * [backup-simplify]: Simplify (/ PI (/ 1 a)) into (* a PI) 2.796 * [approximate]: Taking taylor expansion of (* a PI) in (a) around 0 2.796 * [taylor]: Taking taylor expansion of (* a PI) in a 2.796 * [taylor]: Taking taylor expansion of a in a 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify 1 into 1 2.796 * [taylor]: Taking taylor expansion of PI in a 2.796 * [backup-simplify]: Simplify PI into PI 2.796 * [taylor]: Taking taylor expansion of (* a PI) in a 2.796 * [taylor]: Taking taylor expansion of a in a 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify 1 into 1 2.796 * [taylor]: Taking taylor expansion of PI in a 2.796 * [backup-simplify]: Simplify PI into PI 2.796 * [backup-simplify]: Simplify (* 0 PI) into 0 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.797 * [backup-simplify]: Simplify PI into PI 2.798 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.798 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.801 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.802 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify (* PI (/ 1 a)) into (/ PI a) 2.803 * [backup-simplify]: Simplify (/ PI (/ 1 (- a))) into (* -1 (* a PI)) 2.803 * [approximate]: Taking taylor expansion of (* -1 (* a PI)) in (a) around 0 2.803 * [taylor]: Taking taylor expansion of (* -1 (* a PI)) in a 2.803 * [taylor]: Taking taylor expansion of -1 in a 2.803 * [backup-simplify]: Simplify -1 into -1 2.803 * [taylor]: Taking taylor expansion of (* a PI) in a 2.803 * [taylor]: Taking taylor expansion of a in a 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify 1 into 1 2.803 * [taylor]: Taking taylor expansion of PI in a 2.803 * [backup-simplify]: Simplify PI into PI 2.803 * [taylor]: Taking taylor expansion of (* -1 (* a PI)) in a 2.803 * [taylor]: Taking taylor expansion of -1 in a 2.803 * [backup-simplify]: Simplify -1 into -1 2.803 * [taylor]: Taking taylor expansion of (* a PI) in a 2.803 * [taylor]: Taking taylor expansion of a in a 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify 1 into 1 2.803 * [taylor]: Taking taylor expansion of PI in a 2.803 * [backup-simplify]: Simplify PI into PI 2.803 * [backup-simplify]: Simplify (* 0 PI) into 0 2.804 * [backup-simplify]: Simplify (* -1 0) into 0 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.805 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 2.806 * [backup-simplify]: Simplify (- PI) into (- PI) 2.806 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.807 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 2.807 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.808 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.808 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.810 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.810 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.812 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.812 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.813 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.813 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.816 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify (* (- PI) (/ 1 (- a))) into (/ PI a) 2.816 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 2.816 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.816 * [approximate]: Taking taylor expansion of (/ PI b) in (b) around 0 2.816 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.816 * [taylor]: Taking taylor expansion of PI in b 2.816 * [backup-simplify]: Simplify PI into PI 2.816 * [taylor]: Taking taylor expansion of b in b 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 1 into 1 2.816 * [backup-simplify]: Simplify (/ PI 1) into PI 2.816 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.816 * [taylor]: Taking taylor expansion of PI in b 2.816 * [backup-simplify]: Simplify PI into PI 2.816 * [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 * [backup-simplify]: Simplify (/ PI 1) into PI 2.817 * [backup-simplify]: Simplify PI into PI 2.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.817 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.818 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.819 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.820 * [backup-simplify]: Simplify 0 into 0 2.821 * [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 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify (* PI (/ 1 b)) into (/ PI b) 2.821 * [backup-simplify]: Simplify (/ PI (/ 1 b)) into (* b PI) 2.821 * [approximate]: Taking taylor expansion of (* b PI) in (b) around 0 2.821 * [taylor]: Taking taylor expansion of (* b PI) in b 2.821 * [taylor]: Taking taylor expansion of b in b 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify 1 into 1 2.821 * [taylor]: Taking taylor expansion of PI in b 2.821 * [backup-simplify]: Simplify PI into PI 2.821 * [taylor]: Taking taylor expansion of (* b PI) in b 2.821 * [taylor]: Taking taylor expansion of b in b 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify 1 into 1 2.821 * [taylor]: Taking taylor expansion of PI in b 2.821 * [backup-simplify]: Simplify PI into PI 2.821 * [backup-simplify]: Simplify (* 0 PI) into 0 2.821 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.822 * [backup-simplify]: Simplify PI into PI 2.823 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.825 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.826 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify (* PI (/ 1 b)) into (/ PI b) 2.827 * [backup-simplify]: Simplify (/ PI (/ 1 (- b))) into (* -1 (* b PI)) 2.827 * [approximate]: Taking taylor expansion of (* -1 (* b PI)) in (b) around 0 2.827 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 2.827 * [taylor]: Taking taylor expansion of -1 in b 2.827 * [backup-simplify]: Simplify -1 into -1 2.827 * [taylor]: Taking taylor expansion of (* b PI) in b 2.827 * [taylor]: Taking taylor expansion of b in b 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 1 into 1 2.827 * [taylor]: Taking taylor expansion of PI in b 2.827 * [backup-simplify]: Simplify PI into PI 2.828 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 2.828 * [taylor]: Taking taylor expansion of -1 in b 2.828 * [backup-simplify]: Simplify -1 into -1 2.828 * [taylor]: Taking taylor expansion of (* b PI) in b 2.828 * [taylor]: Taking taylor expansion of b in b 2.828 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify 1 into 1 2.828 * [taylor]: Taking taylor expansion of PI in b 2.828 * [backup-simplify]: Simplify PI into PI 2.828 * [backup-simplify]: Simplify (* 0 PI) into 0 2.828 * [backup-simplify]: Simplify (* -1 0) into 0 2.828 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.830 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 2.830 * [backup-simplify]: Simplify (- PI) into (- PI) 2.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.833 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 2.833 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.835 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.835 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.838 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.838 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.841 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.841 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.844 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.848 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.848 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify (* (- PI) (/ 1 (- b))) into (/ PI b) 2.849 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.849 * [backup-simplify]: Simplify (- (/ PI a) (/ PI b)) into (- (/ PI a) (/ PI b)) 2.849 * [approximate]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in (a b) around 0 2.849 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b 2.849 * [taylor]: Taking taylor expansion of (/ PI a) in b 2.849 * [taylor]: Taking taylor expansion of PI in b 2.849 * [backup-simplify]: Simplify PI into PI 2.849 * [taylor]: Taking taylor expansion of a in b 2.849 * [backup-simplify]: Simplify a into a 2.849 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.849 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.849 * [taylor]: Taking taylor expansion of PI in b 2.849 * [backup-simplify]: Simplify PI into PI 2.850 * [taylor]: Taking taylor expansion of b in b 2.850 * [backup-simplify]: Simplify 0 into 0 2.850 * [backup-simplify]: Simplify 1 into 1 2.850 * [backup-simplify]: Simplify (/ PI 1) into PI 2.850 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 2.850 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.850 * [taylor]: Taking taylor expansion of PI in a 2.850 * [backup-simplify]: Simplify PI into PI 2.850 * [taylor]: Taking taylor expansion of a in a 2.850 * [backup-simplify]: Simplify 0 into 0 2.850 * [backup-simplify]: Simplify 1 into 1 2.851 * [backup-simplify]: Simplify (/ PI 1) into PI 2.851 * [taylor]: Taking taylor expansion of (/ PI b) in a 2.851 * [taylor]: Taking taylor expansion of PI in a 2.851 * [backup-simplify]: Simplify PI into PI 2.851 * [taylor]: Taking taylor expansion of b in a 2.851 * [backup-simplify]: Simplify b into b 2.851 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.851 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 2.851 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.851 * [taylor]: Taking taylor expansion of PI in a 2.851 * [backup-simplify]: Simplify PI into PI 2.851 * [taylor]: Taking taylor expansion of a in a 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 1 into 1 2.852 * [backup-simplify]: Simplify (/ PI 1) into PI 2.852 * [taylor]: Taking taylor expansion of (/ PI b) in a 2.852 * [taylor]: Taking taylor expansion of PI in a 2.852 * [backup-simplify]: Simplify PI into PI 2.852 * [taylor]: Taking taylor expansion of b in a 2.852 * [backup-simplify]: Simplify b into b 2.852 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.852 * [backup-simplify]: Simplify (+ PI 0) into PI 2.852 * [taylor]: Taking taylor expansion of PI in b 2.853 * [backup-simplify]: Simplify PI into PI 2.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.854 * [backup-simplify]: Simplify (- (/ PI b)) into (- (/ PI b)) 2.854 * [backup-simplify]: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) 2.854 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 2.854 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.854 * [taylor]: Taking taylor expansion of PI in b 2.854 * [backup-simplify]: Simplify PI into PI 2.854 * [taylor]: Taking taylor expansion of b in b 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 1 into 1 2.854 * [backup-simplify]: Simplify (/ PI 1) into PI 2.855 * [backup-simplify]: Simplify (- PI) into (- PI) 2.855 * [backup-simplify]: Simplify (- PI) into (- PI) 2.855 * [backup-simplify]: Simplify PI into PI 2.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.857 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 2.857 * [backup-simplify]: Simplify (- 0) into 0 2.857 * [backup-simplify]: Simplify (+ 0 0) into 0 2.857 * [taylor]: Taking taylor expansion of 0 in b 2.857 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.859 * [backup-simplify]: Simplify (- 0) into 0 2.859 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.860 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 2.860 * [backup-simplify]: Simplify (- 0) into 0 2.861 * [backup-simplify]: Simplify (+ 0 0) into 0 2.861 * [taylor]: Taking taylor expansion of 0 in b 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.862 * [backup-simplify]: Simplify (- 0) into 0 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.864 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 2.864 * [backup-simplify]: Simplify (- 0) into 0 2.865 * [backup-simplify]: Simplify (+ 0 0) into 0 2.865 * [taylor]: Taking taylor expansion of 0 in b 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify (+ (* PI (* 1 (/ 1 a))) (* (- PI) (* (/ 1 b) 1))) into (- (/ PI a) (/ PI b)) 2.866 * [backup-simplify]: Simplify (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) into (- (* a PI) (* PI b)) 2.866 * [approximate]: Taking taylor expansion of (- (* a PI) (* PI b)) in (a b) around 0 2.866 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in b 2.866 * [taylor]: Taking taylor expansion of (* a PI) in b 2.866 * [taylor]: Taking taylor expansion of a in b 2.866 * [backup-simplify]: Simplify a into a 2.866 * [taylor]: Taking taylor expansion of PI in b 2.866 * [backup-simplify]: Simplify PI into PI 2.866 * [taylor]: Taking taylor expansion of (* PI b) in b 2.866 * [taylor]: Taking taylor expansion of PI in b 2.866 * [backup-simplify]: Simplify PI into PI 2.866 * [taylor]: Taking taylor expansion of b in b 2.866 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify 1 into 1 2.866 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 2.866 * [taylor]: Taking taylor expansion of (* a PI) in a 2.866 * [taylor]: Taking taylor expansion of a in a 2.866 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify 1 into 1 2.866 * [taylor]: Taking taylor expansion of PI in a 2.866 * [backup-simplify]: Simplify PI into PI 2.866 * [taylor]: Taking taylor expansion of (* PI b) in a 2.866 * [taylor]: Taking taylor expansion of PI in a 2.866 * [backup-simplify]: Simplify PI into PI 2.866 * [taylor]: Taking taylor expansion of b in a 2.866 * [backup-simplify]: Simplify b into b 2.866 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 2.867 * [taylor]: Taking taylor expansion of (* a PI) in a 2.867 * [taylor]: Taking taylor expansion of a in a 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify 1 into 1 2.867 * [taylor]: Taking taylor expansion of PI in a 2.867 * [backup-simplify]: Simplify PI into PI 2.867 * [taylor]: Taking taylor expansion of (* PI b) in a 2.867 * [taylor]: Taking taylor expansion of PI in a 2.867 * [backup-simplify]: Simplify PI into PI 2.867 * [taylor]: Taking taylor expansion of b in a 2.867 * [backup-simplify]: Simplify b into b 2.867 * [backup-simplify]: Simplify (* 0 PI) into 0 2.867 * [backup-simplify]: Simplify (* PI b) into (* b PI) 2.868 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 2.868 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 2.868 * [taylor]: Taking taylor expansion of (- (* PI b)) in b 2.868 * [taylor]: Taking taylor expansion of (* PI b) in b 2.868 * [taylor]: Taking taylor expansion of PI in b 2.868 * [backup-simplify]: Simplify PI into PI 2.868 * [taylor]: Taking taylor expansion of b in b 2.868 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify 1 into 1 2.868 * [backup-simplify]: Simplify (* PI 0) into 0 2.869 * [backup-simplify]: Simplify (- 0) into 0 2.869 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.871 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 2.871 * [backup-simplify]: Simplify (- 0) into 0 2.872 * [backup-simplify]: Simplify (+ PI 0) into PI 2.872 * [taylor]: Taking taylor expansion of PI in b 2.872 * [backup-simplify]: Simplify PI into PI 2.872 * [backup-simplify]: Simplify PI into PI 2.873 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 2.874 * [backup-simplify]: Simplify (- PI) into (- PI) 2.874 * [backup-simplify]: Simplify (- PI) into (- PI) 2.877 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.878 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 2.878 * [backup-simplify]: Simplify (- 0) into 0 2.879 * [backup-simplify]: Simplify (+ 0 0) into 0 2.879 * [taylor]: Taking taylor expansion of 0 in b 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 2.881 * [backup-simplify]: Simplify (- 0) into 0 2.882 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.884 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 2.884 * [backup-simplify]: Simplify (- 0) into 0 2.885 * [backup-simplify]: Simplify (+ 0 0) into 0 2.885 * [taylor]: Taking taylor expansion of 0 in b 2.885 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify (+ (* (- PI) (* (/ 1 b) 1)) (* PI (* 1 (/ 1 a)))) into (- (/ PI a) (/ PI b)) 2.886 * [backup-simplify]: Simplify (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) into (- (* b PI) (* a PI)) 2.886 * [approximate]: Taking taylor expansion of (- (* b PI) (* a PI)) in (a b) around 0 2.886 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in b 2.886 * [taylor]: Taking taylor expansion of (* b PI) in b 2.886 * [taylor]: Taking taylor expansion of b in b 2.886 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify 1 into 1 2.886 * [taylor]: Taking taylor expansion of PI in b 2.886 * [backup-simplify]: Simplify PI into PI 2.886 * [taylor]: Taking taylor expansion of (* a PI) in b 2.886 * [taylor]: Taking taylor expansion of a in b 2.886 * [backup-simplify]: Simplify a into a 2.886 * [taylor]: Taking taylor expansion of PI in b 2.886 * [backup-simplify]: Simplify PI into PI 2.886 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 2.886 * [taylor]: Taking taylor expansion of (* b PI) in a 2.886 * [taylor]: Taking taylor expansion of b in a 2.886 * [backup-simplify]: Simplify b into b 2.886 * [taylor]: Taking taylor expansion of PI in a 2.886 * [backup-simplify]: Simplify PI into PI 2.886 * [taylor]: Taking taylor expansion of (* a PI) in a 2.886 * [taylor]: Taking taylor expansion of a in a 2.886 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify 1 into 1 2.886 * [taylor]: Taking taylor expansion of PI in a 2.886 * [backup-simplify]: Simplify PI into PI 2.886 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 2.886 * [taylor]: Taking taylor expansion of (* b PI) in a 2.887 * [taylor]: Taking taylor expansion of b in a 2.887 * [backup-simplify]: Simplify b into b 2.887 * [taylor]: Taking taylor expansion of PI in a 2.887 * [backup-simplify]: Simplify PI into PI 2.887 * [taylor]: Taking taylor expansion of (* a PI) in a 2.887 * [taylor]: Taking taylor expansion of a in a 2.887 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify 1 into 1 2.887 * [taylor]: Taking taylor expansion of PI in a 2.887 * [backup-simplify]: Simplify PI into PI 2.887 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.887 * [backup-simplify]: Simplify (* 0 PI) into 0 2.888 * [backup-simplify]: Simplify (- 0) into 0 2.888 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 2.888 * [taylor]: Taking taylor expansion of (* PI b) in b 2.888 * [taylor]: Taking taylor expansion of PI in b 2.888 * [backup-simplify]: Simplify PI into PI 2.888 * [taylor]: Taking taylor expansion of b in b 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 1 into 1 2.888 * [backup-simplify]: Simplify (* PI 0) into 0 2.888 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 2.890 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.891 * [backup-simplify]: Simplify (- PI) into (- PI) 2.891 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 2.892 * [taylor]: Taking taylor expansion of (- PI) in b 2.892 * [taylor]: Taking taylor expansion of PI in b 2.892 * [backup-simplify]: Simplify PI into PI 2.892 * [backup-simplify]: Simplify (- PI) into (- PI) 2.892 * [backup-simplify]: Simplify (- PI) into (- PI) 2.894 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 2.894 * [backup-simplify]: Simplify PI into PI 2.895 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 2.896 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.896 * [backup-simplify]: Simplify (- 0) into 0 2.896 * [backup-simplify]: Simplify (+ 0 0) into 0 2.896 * [taylor]: Taking taylor expansion of 0 in b 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify (- 0) into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 2.898 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.900 * [backup-simplify]: Simplify (- 0) into 0 2.900 * [backup-simplify]: Simplify (+ 0 0) into 0 2.900 * [taylor]: Taking taylor expansion of 0 in b 2.900 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify (- 0) into 0 2.901 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify (+ (* PI (* (/ 1 (- b)) 1)) (* (- PI) (* 1 (/ 1 (- a))))) into (- (/ PI a) (/ PI b)) 2.902 * * * [progress]: simplifying candidates 2.902 * * * * [progress]: [ 1 / 335 ] simplifiying candidate # 2.902 * * * * [progress]: [ 2 / 335 ] simplifiying candidate # 2.902 * * * * [progress]: [ 3 / 335 ] simplifiying candidate # 2.902 * * * * [progress]: [ 4 / 335 ] simplifiying candidate # 2.902 * * * * [progress]: [ 5 / 335 ] simplifiying candidate # 2.902 * * * * [progress]: [ 6 / 335 ] simplifiying candidate # 2.902 * * * * [progress]: [ 7 / 335 ] simplifiying candidate # 2.902 * * * * [progress]: [ 8 / 335 ] simplifiying candidate # 2.902 * * * * [progress]: [ 9 / 335 ] simplifiying candidate # 2.902 * * * * [progress]: [ 10 / 335 ] simplifiying candidate # 2.902 * * * * [progress]: [ 11 / 335 ] simplifiying candidate # 2.903 * * * * [progress]: [ 12 / 335 ] simplifiying candidate # 2.903 * * * * [progress]: [ 13 / 335 ] simplifiying candidate # 2.903 * * * * [progress]: [ 14 / 335 ] simplifiying candidate # 2.903 * * * * [progress]: [ 15 / 335 ] simplifiying candidate # 2.903 * * * * [progress]: [ 16 / 335 ] simplifiying candidate # 2.903 * * * * [progress]: [ 17 / 335 ] simplifiying candidate # 2.903 * * * * [progress]: [ 18 / 335 ] simplifiying candidate # 2.903 * * * * [progress]: [ 19 / 335 ] simplifiying candidate # 2.903 * * * * [progress]: [ 20 / 335 ] simplifiying candidate # 2.903 * * * * [progress]: [ 21 / 335 ] simplifiying candidate # 2.903 * * * * [progress]: [ 22 / 335 ] simplifiying candidate # 2.903 * * * * [progress]: [ 23 / 335 ] simplifiying candidate # 2.903 * * * * [progress]: [ 24 / 335 ] simplifiying candidate # 2.903 * * * * [progress]: [ 25 / 335 ] simplifiying candidate # 2.903 * * * * [progress]: [ 26 / 335 ] simplifiying candidate # 2.903 * * * * [progress]: [ 27 / 335 ] simplifiying candidate # 2.904 * * * * [progress]: [ 28 / 335 ] simplifiying candidate # 2.904 * * * * [progress]: [ 29 / 335 ] simplifiying candidate # 2.904 * * * * [progress]: [ 30 / 335 ] simplifiying candidate # 2.904 * * * * [progress]: [ 31 / 335 ] simplifiying candidate # 2.904 * * * * [progress]: [ 32 / 335 ] simplifiying candidate # 2.904 * * * * [progress]: [ 33 / 335 ] simplifiying candidate # 2.904 * * * * [progress]: [ 34 / 335 ] simplifiying candidate # 2.904 * * * * [progress]: [ 35 / 335 ] simplifiying candidate # 2.904 * * * * [progress]: [ 36 / 335 ] simplifiying candidate # 2.904 * * * * [progress]: [ 37 / 335 ] simplifiying candidate # 2.904 * * * * [progress]: [ 38 / 335 ] simplifiying candidate # 2.904 * * * * [progress]: [ 39 / 335 ] simplifiying candidate # 2.904 * * * * [progress]: [ 40 / 335 ] simplifiying candidate # 2.904 * * * * [progress]: [ 41 / 335 ] simplifiying candidate # 2.904 * * * * [progress]: [ 42 / 335 ] simplifiying candidate # 2.905 * * * * [progress]: [ 43 / 335 ] simplifiying candidate # 2.905 * * * * [progress]: [ 44 / 335 ] simplifiying candidate # 2.905 * * * * [progress]: [ 45 / 335 ] simplifiying candidate # 2.905 * * * * [progress]: [ 46 / 335 ] simplifiying candidate # 2.905 * * * * [progress]: [ 47 / 335 ] simplifiying candidate # 2.905 * * * * [progress]: [ 48 / 335 ] simplifiying candidate # 2.905 * * * * [progress]: [ 49 / 335 ] simplifiying candidate # 2.906 * * * * [progress]: [ 50 / 335 ] simplifiying candidate # 2.906 * * * * [progress]: [ 51 / 335 ] simplifiying candidate # 2.906 * * * * [progress]: [ 52 / 335 ] simplifiying candidate # 2.906 * * * * [progress]: [ 53 / 335 ] simplifiying candidate # 2.906 * * * * [progress]: [ 54 / 335 ] simplifiying candidate # 2.906 * * * * [progress]: [ 55 / 335 ] simplifiying candidate # 2.906 * * * * [progress]: [ 56 / 335 ] simplifiying candidate #real (real->posit16 (/ (- (/ PI a) (/ PI b)) (* (+ a b) (* 2 (- b a)))))))> 2.906 * * * * [progress]: [ 57 / 335 ] simplifiying candidate # 2.906 * * * * [progress]: [ 58 / 335 ] simplifiying candidate # 2.906 * * * * [progress]: [ 59 / 335 ] simplifiying candidate # 2.906 * * * * [progress]: [ 60 / 335 ] simplifiying candidate # 2.906 * * * * [progress]: [ 61 / 335 ] simplifiying candidate # 2.907 * * * * [progress]: [ 62 / 335 ] simplifiying candidate # 2.907 * * * * [progress]: [ 63 / 335 ] simplifiying candidate # 2.907 * * * * [progress]: [ 64 / 335 ] simplifiying candidate # 2.907 * * * * [progress]: [ 65 / 335 ] simplifiying candidate # 2.907 * * * * [progress]: [ 66 / 335 ] simplifiying candidate # 2.907 * * * * [progress]: [ 67 / 335 ] simplifiying candidate # 2.907 * * * * [progress]: [ 68 / 335 ] simplifiying candidate # 2.907 * * * * [progress]: [ 69 / 335 ] simplifiying candidate # 2.907 * * * * [progress]: [ 70 / 335 ] simplifiying candidate # 2.907 * * * * [progress]: [ 71 / 335 ] simplifiying candidate # 2.907 * * * * [progress]: [ 72 / 335 ] simplifiying candidate # 2.907 * * * * [progress]: [ 73 / 335 ] simplifiying candidate # 2.907 * * * * [progress]: [ 74 / 335 ] simplifiying candidate # 2.908 * * * * [progress]: [ 75 / 335 ] simplifiying candidate # 2.908 * * * * [progress]: [ 76 / 335 ] simplifiying candidate # 2.908 * * * * [progress]: [ 77 / 335 ] simplifiying candidate # 2.908 * * * * [progress]: [ 78 / 335 ] simplifiying candidate # 2.908 * * * * [progress]: [ 79 / 335 ] simplifiying candidate # 2.908 * * * * [progress]: [ 80 / 335 ] simplifiying candidate # 2.908 * * * * [progress]: [ 81 / 335 ] simplifiying candidate # 2.908 * * * * [progress]: [ 82 / 335 ] simplifiying candidate # 2.908 * * * * [progress]: [ 83 / 335 ] simplifiying candidate # 2.908 * * * * [progress]: [ 84 / 335 ] simplifiying candidate # 2.908 * * * * [progress]: [ 85 / 335 ] simplifiying candidate # 2.908 * * * * [progress]: [ 86 / 335 ] simplifiying candidate #real (real->posit16 (/ PI a))) (/ PI b)) (* (+ a b) (* 2 (- b a)))))> 2.908 * * * * [progress]: [ 87 / 335 ] simplifiying candidate # 2.908 * * * * [progress]: [ 88 / 335 ] simplifiying candidate # 2.908 * * * * [progress]: [ 89 / 335 ] simplifiying candidate # 2.909 * * * * [progress]: [ 90 / 335 ] simplifiying candidate # 2.909 * * * * [progress]: [ 91 / 335 ] simplifiying candidate # 2.909 * * * * [progress]: [ 92 / 335 ] simplifiying candidate # 2.909 * * * * [progress]: [ 93 / 335 ] simplifiying candidate # 2.909 * * * * [progress]: [ 94 / 335 ] simplifiying candidate # 2.909 * * * * [progress]: [ 95 / 335 ] simplifiying candidate # 2.909 * * * * [progress]: [ 96 / 335 ] simplifiying candidate # 2.909 * * * * [progress]: [ 97 / 335 ] simplifiying candidate # 2.909 * * * * [progress]: [ 98 / 335 ] simplifiying candidate # 2.909 * * * * [progress]: [ 99 / 335 ] simplifiying candidate # 2.909 * * * * [progress]: [ 100 / 335 ] simplifiying candidate # 2.909 * * * * [progress]: [ 101 / 335 ] simplifiying candidate # 2.909 * * * * [progress]: [ 102 / 335 ] simplifiying candidate # 2.909 * * * * [progress]: [ 103 / 335 ] simplifiying candidate # 2.909 * * * * [progress]: [ 104 / 335 ] simplifiying candidate # 2.910 * * * * [progress]: [ 105 / 335 ] simplifiying candidate # 2.910 * * * * [progress]: [ 106 / 335 ] simplifiying candidate # 2.910 * * * * [progress]: [ 107 / 335 ] simplifiying candidate # 2.910 * * * * [progress]: [ 108 / 335 ] simplifiying candidate # 2.910 * * * * [progress]: [ 109 / 335 ] simplifiying candidate # 2.910 * * * * [progress]: [ 110 / 335 ] simplifiying candidate # 2.910 * * * * [progress]: [ 111 / 335 ] simplifiying candidate # 2.910 * * * * [progress]: [ 112 / 335 ] simplifiying candidate # 2.910 * * * * [progress]: [ 113 / 335 ] simplifiying candidate # 2.910 * * * * [progress]: [ 114 / 335 ] simplifiying candidate # 2.910 * * * * [progress]: [ 115 / 335 ] simplifiying candidate # 2.910 * * * * [progress]: [ 116 / 335 ] simplifiying candidate #real (real->posit16 (/ PI b)))) (* (+ a b) (* 2 (- b a)))))> 2.910 * * * * [progress]: [ 117 / 335 ] 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2.923 * * * * [progress]: [ 271 / 335 ] simplifiying candidate # 2.923 * * * * [progress]: [ 272 / 335 ] simplifiying candidate # 2.923 * * * * [progress]: [ 273 / 335 ] simplifiying candidate # 2.923 * * * * [progress]: [ 274 / 335 ] simplifiying candidate # 2.923 * * * * [progress]: [ 275 / 335 ] simplifiying candidate # 2.923 * * * * [progress]: [ 276 / 335 ] simplifiying candidate # 2.923 * * * * [progress]: [ 277 / 335 ] simplifiying candidate # 2.923 * * * * [progress]: [ 278 / 335 ] simplifiying candidate # 2.924 * * * * [progress]: [ 279 / 335 ] simplifiying candidate # 2.924 * * * * [progress]: [ 280 / 335 ] simplifiying candidate # 2.924 * * * * [progress]: [ 281 / 335 ] simplifiying candidate # 2.924 * * * * [progress]: [ 282 / 335 ] simplifiying candidate # 2.924 * * * * [progress]: [ 283 / 335 ] simplifiying candidate # 2.924 * * * * [progress]: [ 284 / 335 ] simplifiying candidate # 2.924 * * * * [progress]: [ 285 / 335 ] simplifiying candidate # 2.924 * * * * [progress]: [ 286 / 335 ] simplifiying candidate # 2.924 * * * * [progress]: [ 287 / 335 ] simplifiying candidate # 2.924 * * * * [progress]: [ 288 / 335 ] simplifiying candidate # 2.924 * * * * [progress]: [ 289 / 335 ] simplifiying candidate # 2.924 * * * * [progress]: [ 290 / 335 ] simplifiying candidate # 2.924 * * * * [progress]: [ 291 / 335 ] simplifiying candidate # 2.925 * * * * [progress]: [ 292 / 335 ] simplifiying candidate # 2.925 * * * * [progress]: [ 293 / 335 ] simplifiying candidate # 2.925 * * * * [progress]: [ 294 / 335 ] simplifiying candidate # 2.925 * * * * [progress]: [ 295 / 335 ] simplifiying candidate # 2.925 * * * * [progress]: [ 296 / 335 ] simplifiying candidate # 2.925 * * * * [progress]: [ 297 / 335 ] simplifiying candidate # 2.925 * * * * [progress]: [ 298 / 335 ] simplifiying candidate # 2.925 * * * * [progress]: [ 299 / 335 ] simplifiying candidate # 2.925 * * * * [progress]: [ 300 / 335 ] simplifiying candidate # 2.925 * * * * [progress]: [ 301 / 335 ] simplifiying candidate # 2.925 * * * * [progress]: [ 302 / 335 ] simplifiying candidate # 2.926 * * * * [progress]: [ 303 / 335 ] simplifiying candidate # 2.926 * * * * [progress]: [ 304 / 335 ] simplifiying candidate # 2.926 * * * * [progress]: [ 305 / 335 ] simplifiying candidate # 2.926 * * * * [progress]: [ 306 / 335 ] simplifiying candidate # 2.926 * * * * [progress]: [ 307 / 335 ] simplifiying candidate # 2.926 * * * * [progress]: [ 308 / 335 ] simplifiying candidate # 2.926 * * * * [progress]: [ 309 / 335 ] simplifiying candidate # 2.926 * * * * [progress]: [ 310 / 335 ] simplifiying candidate # 2.926 * * * * [progress]: [ 311 / 335 ] simplifiying candidate # 2.926 * * * * [progress]: [ 312 / 335 ] simplifiying candidate # 2.926 * * * * [progress]: [ 313 / 335 ] simplifiying candidate # 2.926 * * * * [progress]: [ 314 / 335 ] simplifiying candidate # 2.926 * * * * [progress]: [ 315 / 335 ] simplifiying candidate # 2.926 * * * * [progress]: [ 316 / 335 ] simplifiying candidate # 2.927 * * * * [progress]: [ 317 / 335 ] simplifiying candidate # 2.927 * * * * [progress]: [ 318 / 335 ] simplifiying candidate # 2.927 * * * * [progress]: [ 319 / 335 ] simplifiying candidate # 2.927 * * * * [progress]: [ 320 / 335 ] simplifiying candidate # 2.927 * * * * [progress]: [ 321 / 335 ] simplifiying candidate # 2.927 * * * * [progress]: [ 322 / 335 ] simplifiying candidate # 2.927 * * * * [progress]: [ 323 / 335 ] simplifiying candidate #real (real->posit16 (- (/ PI a) (/ PI b)))) (* (+ a b) (* 2 (- b a)))))> 2.927 * * * * [progress]: [ 324 / 335 ] simplifiying candidate # 2.927 * * * * [progress]: [ 325 / 335 ] simplifiying candidate # 2.927 * * * * [progress]: [ 326 / 335 ] simplifiying candidate # 2.927 * * * * [progress]: [ 327 / 335 ] simplifiying candidate # 2.927 * * * * [progress]: [ 328 / 335 ] simplifiying candidate # 2.927 * * * * [progress]: [ 329 / 335 ] simplifiying candidate # 2.927 * * * * [progress]: [ 330 / 335 ] simplifiying candidate # 2.927 * * * * [progress]: [ 331 / 335 ] simplifiying candidate # 2.927 * * * * [progress]: [ 332 / 335 ] simplifiying candidate # 2.927 * * * * [progress]: [ 333 / 335 ] simplifiying candidate # 2.927 * * * * [progress]: [ 334 / 335 ] simplifiying candidate # 2.928 * * * * [progress]: [ 335 / 335 ] simplifiying candidate # 2.936 * [simplify]: Simplifying: (expm1 (/ (- (/ PI a) (/ PI b)) (* (+ a b) (* 2 (- b a))))) (log1p (/ (- (/ PI a) (/ PI b)) (* (+ a b) (* 2 (- b a))))) (- (log (- (/ PI a) (/ PI b))) (+ (log (+ a b)) (+ (log 2) (log (- b a))))) (- (log (- (/ PI a) (/ PI b))) (+ (log (+ a b)) (log (* 2 (- b a))))) (- (log (- (/ PI a) (/ PI b))) (log (* (+ a b) (* 2 (- b a))))) (log (/ (- (/ PI a) (/ PI b)) (* (+ a b) (* 2 (- b a))))) (exp (/ (- (/ PI a) (/ PI b)) (* (+ a b) (* 2 (- b a))))) (/ (* (* (- (/ PI a) (/ PI b)) (- (/ PI a) (/ PI b))) (- (/ PI a) (/ PI b))) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* (* 2 2) 2) (* (* (- b a) (- b a)) (- b a))))) (/ (* (* (- (/ PI a) (/ PI b)) (- (/ PI a) (/ 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(cbrt b))))) (- (/ PI a) (/ (/ (cbrt PI) (/ (sqrt b) (cbrt PI))) (/ (sqrt b) (cbrt PI)))) (+ (- (/ (/ (cbrt PI) (/ (sqrt b) (cbrt PI))) (/ (sqrt b) (cbrt PI)))) (/ (/ (cbrt PI) (/ (sqrt b) (cbrt PI))) (/ (sqrt b) (cbrt PI)))) (- (/ PI a) (* (cbrt PI) (* (cbrt PI) (/ (cbrt PI) b)))) (* (* (cbrt PI) (cbrt PI)) (+ (- (/ (cbrt PI) b)) (/ (cbrt PI) b))) (- (/ PI a) (* (/ (/ (sqrt PI) (cbrt b)) (cbrt b)) (/ (sqrt PI) (cbrt b)))) (+ (- (* (/ (/ (sqrt PI) (cbrt b)) (cbrt b)) (/ (sqrt PI) (cbrt b)))) (* (/ (/ (sqrt PI) (cbrt b)) (cbrt b)) (/ (sqrt PI) (cbrt b)))) (- (/ PI a) (* (/ (sqrt PI) (sqrt b)) (/ (sqrt PI) (sqrt b)))) (* (/ (sqrt PI) (sqrt b)) (+ (- (/ (sqrt PI) (sqrt b))) (/ (sqrt PI) (sqrt b)))) (- (/ PI a) (/ PI b)) (fma (/ PI b) -1 (/ PI b)) (- (/ PI a) (/ (/ PI (* (cbrt b) (cbrt b))) (cbrt b))) (fma (/ PI (cbrt b)) (/ -1 (* (cbrt b) (cbrt b))) (/ (/ PI (* (cbrt b) (cbrt b))) (cbrt b))) (- (/ PI a) (/ (/ PI (sqrt b)) (sqrt b))) (fma (/ PI (sqrt b)) (/ -1 (sqrt b)) (/ (/ PI (sqrt b)) 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(cbrt (- (/ PI a) (/ PI b))) (* (* (- (/ PI a) (/ PI b)) (- (/ PI a) (/ PI b))) (- (/ PI a) (/ PI b))) (sqrt (- (/ PI a) (/ PI b))) (sqrt (- (/ PI a) (/ PI b))) (* PI (- b a)) (* b a) (- (* (* (/ PI a) (/ PI a)) (/ PI a)) (* (* (/ PI b) (/ PI b)) (/ PI b))) (fma (/ PI a) (/ PI a) (* (/ PI b) (+ (/ PI b) (/ PI a)))) (/ (- PI) b) (- (* (/ PI a) (/ PI a)) (* (/ PI b) (/ PI b))) (+ (/ PI b) (/ PI a)) (+ (sqrt (/ PI b)) (sqrt (/ PI a))) (- (sqrt (/ PI a)) (sqrt (/ PI b))) (+ (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b))) (- (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b))) (+ (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b))) (- (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b))) (+ (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt b))) (- (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt b))) (- (/ (cbrt PI) a) (/ (cbrt PI) b)) (- (/ (sqrt PI) a) (/ (sqrt PI) b)) (- (/ PI a) (/ PI b)) (- (/ PI a) (/ PI b)) (- (/ 1 a) (/ 1 b)) (/ (- PI) b) (real->posit16 (- (/ PI a) (/ PI b))) 0 0 0 (/ PI a) (/ PI a) (/ PI a) (/ PI b) (/ PI b) (/ PI b) (- (/ PI a) (/ PI b)) (- (/ PI a) (/ PI b)) (- (/ PI a) (/ PI b)) 4.465 * * * [progress]: adding candidates to table 8.030 * * [progress]: iteration 2 / 4 8.030 * * * [progress]: picking best candidate 8.059 * * * * [pick]: Picked # 8.059 * * * [progress]: localizing error 8.090 * * * [progress]: generating rewritten candidates 8.090 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 8.098 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 8.106 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 8.150 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 8.224 * * * [progress]: generating series expansions 8.224 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 8.225 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 8.225 * [approximate]: Taking taylor expansion of (/ PI a) in (a) around 0 8.225 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.225 * [taylor]: Taking taylor expansion of PI in a 8.225 * [backup-simplify]: Simplify PI into PI 8.225 * [taylor]: Taking taylor expansion of a in a 8.225 * [backup-simplify]: Simplify 0 into 0 8.225 * [backup-simplify]: Simplify 1 into 1 8.226 * [backup-simplify]: Simplify (/ PI 1) into PI 8.226 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.226 * [taylor]: Taking taylor expansion of PI in a 8.226 * [backup-simplify]: Simplify PI into PI 8.226 * [taylor]: Taking taylor expansion of a in a 8.226 * [backup-simplify]: Simplify 0 into 0 8.226 * [backup-simplify]: Simplify 1 into 1 8.227 * [backup-simplify]: Simplify (/ PI 1) into PI 8.227 * [backup-simplify]: Simplify PI into PI 8.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.227 * [backup-simplify]: Simplify 0 into 0 8.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.228 * [backup-simplify]: Simplify 0 into 0 8.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.229 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.230 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.230 * [backup-simplify]: Simplify 0 into 0 8.231 * [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 8.231 * [backup-simplify]: Simplify 0 into 0 8.231 * [backup-simplify]: Simplify (* PI (/ 1 a)) into (/ PI a) 8.231 * [backup-simplify]: Simplify (/ PI (/ 1 a)) into (* a PI) 8.231 * [approximate]: Taking taylor expansion of (* a PI) in (a) around 0 8.231 * [taylor]: Taking taylor expansion of (* a PI) in a 8.231 * [taylor]: Taking taylor expansion of a in a 8.231 * [backup-simplify]: Simplify 0 into 0 8.231 * [backup-simplify]: Simplify 1 into 1 8.231 * [taylor]: Taking taylor expansion of PI in a 8.231 * [backup-simplify]: Simplify PI into PI 8.231 * [taylor]: Taking taylor expansion of (* a PI) in a 8.231 * [taylor]: Taking taylor expansion of a in a 8.231 * [backup-simplify]: Simplify 0 into 0 8.231 * [backup-simplify]: Simplify 1 into 1 8.231 * [taylor]: Taking taylor expansion of PI in a 8.231 * [backup-simplify]: Simplify PI into PI 8.232 * [backup-simplify]: Simplify (* 0 PI) into 0 8.232 * [backup-simplify]: Simplify 0 into 0 8.233 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.233 * [backup-simplify]: Simplify PI into PI 8.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.233 * [backup-simplify]: Simplify 0 into 0 8.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.234 * [backup-simplify]: Simplify 0 into 0 8.235 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.235 * [backup-simplify]: Simplify 0 into 0 8.236 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.236 * [backup-simplify]: Simplify 0 into 0 8.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.237 * [backup-simplify]: Simplify 0 into 0 8.238 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 8.238 * [backup-simplify]: Simplify 0 into 0 8.238 * [backup-simplify]: Simplify (* PI (/ 1 a)) into (/ PI a) 8.238 * [backup-simplify]: Simplify (/ PI (/ 1 (- a))) into (* -1 (* a PI)) 8.238 * [approximate]: Taking taylor expansion of (* -1 (* a PI)) in (a) around 0 8.238 * [taylor]: Taking taylor expansion of (* -1 (* a PI)) in a 8.238 * [taylor]: Taking taylor expansion of -1 in a 8.238 * [backup-simplify]: Simplify -1 into -1 8.238 * [taylor]: Taking taylor expansion of (* a PI) in a 8.238 * [taylor]: Taking taylor expansion of a in a 8.238 * [backup-simplify]: Simplify 0 into 0 8.238 * [backup-simplify]: Simplify 1 into 1 8.238 * [taylor]: Taking taylor expansion of PI in a 8.238 * [backup-simplify]: Simplify PI into PI 8.238 * [taylor]: Taking taylor expansion of (* -1 (* a PI)) in a 8.238 * [taylor]: Taking taylor expansion of -1 in a 8.238 * [backup-simplify]: Simplify -1 into -1 8.238 * [taylor]: Taking taylor expansion of (* a PI) in a 8.238 * [taylor]: Taking taylor expansion of a in a 8.238 * [backup-simplify]: Simplify 0 into 0 8.238 * [backup-simplify]: Simplify 1 into 1 8.238 * [taylor]: Taking taylor expansion of PI in a 8.238 * [backup-simplify]: Simplify PI into PI 8.239 * [backup-simplify]: Simplify (* 0 PI) into 0 8.239 * [backup-simplify]: Simplify (* -1 0) into 0 8.239 * [backup-simplify]: Simplify 0 into 0 8.240 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.241 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 8.241 * [backup-simplify]: Simplify (- PI) into (- PI) 8.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.242 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 8.242 * [backup-simplify]: Simplify 0 into 0 8.243 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.243 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.243 * [backup-simplify]: Simplify 0 into 0 8.244 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.245 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 8.245 * [backup-simplify]: Simplify 0 into 0 8.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.247 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 8.247 * [backup-simplify]: Simplify 0 into 0 8.248 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.249 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 8.249 * [backup-simplify]: Simplify 0 into 0 8.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 8.251 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 8.251 * [backup-simplify]: Simplify 0 into 0 8.251 * [backup-simplify]: Simplify (* (- PI) (/ 1 (- a))) into (/ PI a) 8.251 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 8.251 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.251 * [approximate]: Taking taylor expansion of (/ PI b) in (b) around 0 8.251 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.251 * [taylor]: Taking taylor expansion of PI in b 8.251 * [backup-simplify]: Simplify PI into PI 8.251 * [taylor]: Taking taylor expansion of b in b 8.251 * [backup-simplify]: Simplify 0 into 0 8.251 * [backup-simplify]: Simplify 1 into 1 8.251 * [backup-simplify]: Simplify (/ PI 1) into PI 8.252 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.252 * [taylor]: Taking taylor expansion of PI in b 8.252 * [backup-simplify]: Simplify PI into PI 8.252 * [taylor]: Taking taylor expansion of b in b 8.252 * [backup-simplify]: Simplify 0 into 0 8.252 * [backup-simplify]: Simplify 1 into 1 8.252 * [backup-simplify]: Simplify (/ PI 1) into PI 8.252 * [backup-simplify]: Simplify PI into PI 8.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.252 * [backup-simplify]: Simplify 0 into 0 8.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.253 * [backup-simplify]: Simplify 0 into 0 8.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.254 * [backup-simplify]: Simplify 0 into 0 8.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.254 * [backup-simplify]: Simplify 0 into 0 8.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.255 * [backup-simplify]: Simplify 0 into 0 8.256 * [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 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify (* PI (/ 1 b)) into (/ PI b) 8.256 * [backup-simplify]: Simplify (/ PI (/ 1 b)) into (* b PI) 8.256 * [approximate]: Taking taylor expansion of (* b PI) in (b) around 0 8.256 * [taylor]: Taking taylor expansion of (* b PI) in b 8.256 * [taylor]: Taking taylor expansion of b in b 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify 1 into 1 8.256 * [taylor]: Taking taylor expansion of PI in b 8.256 * [backup-simplify]: Simplify PI into PI 8.256 * [taylor]: Taking taylor expansion of (* b PI) in b 8.256 * [taylor]: Taking taylor expansion of b in b 8.256 * [backup-simplify]: Simplify 0 into 0 8.256 * [backup-simplify]: Simplify 1 into 1 8.256 * [taylor]: Taking taylor expansion of PI in b 8.256 * [backup-simplify]: Simplify PI into PI 8.256 * [backup-simplify]: Simplify (* 0 PI) into 0 8.256 * [backup-simplify]: Simplify 0 into 0 8.257 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.257 * [backup-simplify]: Simplify PI into PI 8.258 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.258 * [backup-simplify]: Simplify 0 into 0 8.259 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.259 * [backup-simplify]: Simplify 0 into 0 8.260 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.260 * [backup-simplify]: Simplify 0 into 0 8.262 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.262 * [backup-simplify]: Simplify 0 into 0 8.263 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.264 * [backup-simplify]: Simplify 0 into 0 8.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 8.266 * [backup-simplify]: Simplify 0 into 0 8.266 * [backup-simplify]: Simplify (* PI (/ 1 b)) into (/ PI b) 8.266 * [backup-simplify]: Simplify (/ PI (/ 1 (- b))) into (* -1 (* b PI)) 8.266 * [approximate]: Taking taylor expansion of (* -1 (* b PI)) in (b) around 0 8.266 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 8.266 * [taylor]: Taking taylor expansion of -1 in b 8.266 * [backup-simplify]: Simplify -1 into -1 8.266 * [taylor]: Taking taylor expansion of (* b PI) in b 8.266 * [taylor]: Taking taylor expansion of b in b 8.266 * [backup-simplify]: Simplify 0 into 0 8.266 * [backup-simplify]: Simplify 1 into 1 8.266 * [taylor]: Taking taylor expansion of PI in b 8.266 * [backup-simplify]: Simplify PI into PI 8.266 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 8.266 * [taylor]: Taking taylor expansion of -1 in b 8.266 * [backup-simplify]: Simplify -1 into -1 8.266 * [taylor]: Taking taylor expansion of (* b PI) in b 8.266 * [taylor]: Taking taylor expansion of b in b 8.267 * [backup-simplify]: Simplify 0 into 0 8.267 * [backup-simplify]: Simplify 1 into 1 8.267 * [taylor]: Taking taylor expansion of PI in b 8.267 * [backup-simplify]: Simplify PI into PI 8.267 * [backup-simplify]: Simplify (* 0 PI) into 0 8.268 * [backup-simplify]: Simplify (* -1 0) into 0 8.268 * [backup-simplify]: Simplify 0 into 0 8.269 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.271 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 8.271 * [backup-simplify]: Simplify (- PI) into (- PI) 8.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.273 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 8.273 * [backup-simplify]: Simplify 0 into 0 8.275 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.276 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.276 * [backup-simplify]: Simplify 0 into 0 8.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.278 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 8.278 * [backup-simplify]: Simplify 0 into 0 8.280 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 8.281 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 8.281 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 8.284 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 8.285 * [backup-simplify]: Simplify 0 into 0 8.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 8.288 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 8.288 * [backup-simplify]: Simplify 0 into 0 8.289 * [backup-simplify]: Simplify (* (- PI) (/ 1 (- b))) into (/ PI b) 8.289 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 8.289 * [backup-simplify]: Simplify (/ (- (/ PI a) (/ PI b)) (+ a b)) into (/ (- (/ PI a) (/ PI b)) (+ a b)) 8.289 * [approximate]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ a b)) in (a b) around 0 8.289 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ a b)) in b 8.289 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b 8.289 * [taylor]: Taking taylor expansion of (/ PI a) in b 8.289 * [taylor]: Taking taylor expansion of PI in b 8.289 * [backup-simplify]: Simplify PI into PI 8.289 * [taylor]: Taking taylor expansion of a in b 8.289 * [backup-simplify]: Simplify a into a 8.289 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 8.289 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.289 * [taylor]: Taking taylor expansion of PI in b 8.289 * [backup-simplify]: Simplify PI into PI 8.289 * [taylor]: Taking taylor expansion of b in b 8.289 * [backup-simplify]: Simplify 0 into 0 8.289 * [backup-simplify]: Simplify 1 into 1 8.290 * [backup-simplify]: Simplify (/ PI 1) into PI 8.290 * [taylor]: Taking taylor expansion of (+ a b) in b 8.290 * [taylor]: Taking taylor expansion of a in b 8.290 * [backup-simplify]: Simplify a into a 8.290 * [taylor]: Taking taylor expansion of b in b 8.290 * [backup-simplify]: Simplify 0 into 0 8.290 * [backup-simplify]: Simplify 1 into 1 8.290 * [backup-simplify]: Simplify (- PI) into (- PI) 8.291 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 8.291 * [backup-simplify]: Simplify (+ a 0) into a 8.292 * [backup-simplify]: Simplify (/ (- PI) a) into (* -1 (/ PI a)) 8.292 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ a b)) in a 8.292 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 8.292 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.292 * [taylor]: Taking taylor expansion of PI in a 8.292 * [backup-simplify]: Simplify PI into PI 8.292 * [taylor]: Taking taylor expansion of a in a 8.292 * [backup-simplify]: Simplify 0 into 0 8.292 * [backup-simplify]: Simplify 1 into 1 8.292 * [backup-simplify]: Simplify (/ PI 1) into PI 8.292 * [taylor]: Taking taylor expansion of (/ PI b) in a 8.292 * [taylor]: Taking taylor expansion of PI in a 8.292 * [backup-simplify]: Simplify PI into PI 8.292 * [taylor]: Taking taylor expansion of b in a 8.292 * [backup-simplify]: Simplify b into b 8.293 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.293 * [taylor]: Taking taylor expansion of (+ a b) in a 8.293 * [taylor]: Taking taylor expansion of a in a 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify 1 into 1 8.293 * [taylor]: Taking taylor expansion of b in a 8.293 * [backup-simplify]: Simplify b into b 8.293 * [backup-simplify]: Simplify (+ PI 0) into PI 8.293 * [backup-simplify]: Simplify (+ 0 b) into b 8.293 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.293 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ a b)) in a 8.293 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 8.293 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.293 * [taylor]: Taking taylor expansion of PI in a 8.293 * [backup-simplify]: Simplify PI into PI 8.293 * [taylor]: Taking taylor expansion of a in a 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify 1 into 1 8.294 * [backup-simplify]: Simplify (/ PI 1) into PI 8.294 * [taylor]: Taking taylor expansion of (/ PI b) in a 8.294 * [taylor]: Taking taylor expansion of PI in a 8.294 * [backup-simplify]: Simplify PI into PI 8.294 * [taylor]: Taking taylor expansion of b in a 8.294 * [backup-simplify]: Simplify b into b 8.294 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.294 * [taylor]: Taking taylor expansion of (+ a b) in a 8.294 * [taylor]: Taking taylor expansion of a in a 8.294 * [backup-simplify]: Simplify 0 into 0 8.294 * [backup-simplify]: Simplify 1 into 1 8.294 * [taylor]: Taking taylor expansion of b in a 8.294 * [backup-simplify]: Simplify b into b 8.295 * [backup-simplify]: Simplify (+ PI 0) into PI 8.295 * [backup-simplify]: Simplify (+ 0 b) into b 8.295 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.295 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.295 * [taylor]: Taking taylor expansion of PI in b 8.295 * [backup-simplify]: Simplify PI into PI 8.295 * [taylor]: Taking taylor expansion of b in b 8.295 * [backup-simplify]: Simplify 0 into 0 8.295 * [backup-simplify]: Simplify 1 into 1 8.296 * [backup-simplify]: Simplify (/ PI 1) into PI 8.296 * [backup-simplify]: Simplify PI into PI 8.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.297 * [backup-simplify]: Simplify (- (/ PI b)) into (- (/ PI b)) 8.297 * [backup-simplify]: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) 8.298 * [backup-simplify]: Simplify (+ 1 0) into 1 8.298 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) b) (+ (* (/ PI b) (/ 1 b)))) into (- (* 2 (/ PI (pow b 2)))) 8.298 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow b 2)))) in b 8.298 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 8.298 * [taylor]: Taking taylor expansion of 2 in b 8.298 * [backup-simplify]: Simplify 2 into 2 8.298 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.298 * [taylor]: Taking taylor expansion of PI in b 8.298 * [backup-simplify]: Simplify PI into PI 8.298 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.298 * [taylor]: Taking taylor expansion of b in b 8.298 * [backup-simplify]: Simplify 0 into 0 8.298 * [backup-simplify]: Simplify 1 into 1 8.299 * [backup-simplify]: Simplify (* 1 1) into 1 8.299 * [backup-simplify]: Simplify (/ PI 1) into PI 8.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.301 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 8.302 * [backup-simplify]: Simplify (- 0) into 0 8.302 * [backup-simplify]: Simplify 0 into 0 8.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.303 * [backup-simplify]: Simplify 0 into 0 8.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.304 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 8.305 * [backup-simplify]: Simplify (- 0) into 0 8.305 * [backup-simplify]: Simplify (+ 0 0) into 0 8.305 * [backup-simplify]: Simplify (+ 0 0) into 0 8.306 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (* 2 (/ PI (pow b 2)))) (/ 1 b)))) into (* 2 (/ PI (pow b 3))) 8.306 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 3))) in b 8.306 * [taylor]: Taking taylor expansion of 2 in b 8.306 * [backup-simplify]: Simplify 2 into 2 8.306 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 8.306 * [taylor]: Taking taylor expansion of PI in b 8.306 * [backup-simplify]: Simplify PI into PI 8.306 * [taylor]: Taking taylor expansion of (pow b 3) in b 8.306 * [taylor]: Taking taylor expansion of b in b 8.306 * [backup-simplify]: Simplify 0 into 0 8.306 * [backup-simplify]: Simplify 1 into 1 8.307 * [backup-simplify]: Simplify (* 1 1) into 1 8.307 * [backup-simplify]: Simplify (* 1 1) into 1 8.308 * [backup-simplify]: Simplify (/ PI 1) into PI 8.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.314 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 8.314 * [backup-simplify]: Simplify 0 into 0 8.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.317 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 8.318 * [backup-simplify]: Simplify (- 0) into 0 8.318 * [backup-simplify]: Simplify 0 into 0 8.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.319 * [backup-simplify]: Simplify 0 into 0 8.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.320 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 8.321 * [backup-simplify]: Simplify (- 0) into 0 8.321 * [backup-simplify]: Simplify (+ 0 0) into 0 8.321 * [backup-simplify]: Simplify (+ 0 0) into 0 8.322 * [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)))) 8.322 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow b 4)))) in b 8.322 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 4))) in b 8.322 * [taylor]: Taking taylor expansion of 2 in b 8.322 * [backup-simplify]: Simplify 2 into 2 8.322 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 8.322 * [taylor]: Taking taylor expansion of PI in b 8.322 * [backup-simplify]: Simplify PI into PI 8.322 * [taylor]: Taking taylor expansion of (pow b 4) in b 8.322 * [taylor]: Taking taylor expansion of b in b 8.322 * [backup-simplify]: Simplify 0 into 0 8.322 * [backup-simplify]: Simplify 1 into 1 8.327 * [backup-simplify]: Simplify (* 1 1) into 1 8.328 * [backup-simplify]: Simplify (* 1 1) into 1 8.328 * [backup-simplify]: Simplify (/ PI 1) into PI 8.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.337 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.338 * [backup-simplify]: Simplify (- 0) into 0 8.338 * [backup-simplify]: Simplify 0 into 0 8.338 * [backup-simplify]: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) 8.338 * [backup-simplify]: Simplify (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (+ (/ 1 a) (/ 1 b))) into (/ (- (* a PI) (* PI b)) (+ (/ 1 a) (/ 1 b))) 8.338 * [approximate]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 8.338 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (+ (/ 1 a) (/ 1 b))) in b 8.338 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in b 8.339 * [taylor]: Taking taylor expansion of (* a PI) in b 8.339 * [taylor]: Taking taylor expansion of a in b 8.339 * [backup-simplify]: Simplify a into a 8.339 * [taylor]: Taking taylor expansion of PI in b 8.339 * [backup-simplify]: Simplify PI into PI 8.339 * [taylor]: Taking taylor expansion of (* PI b) in b 8.339 * [taylor]: Taking taylor expansion of PI in b 8.339 * [backup-simplify]: Simplify PI into PI 8.339 * [taylor]: Taking taylor expansion of b in b 8.339 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify 1 into 1 8.339 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.339 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.339 * [taylor]: Taking taylor expansion of a in b 8.339 * [backup-simplify]: Simplify a into a 8.339 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.339 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.339 * [taylor]: Taking taylor expansion of b in b 8.339 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify 1 into 1 8.339 * [backup-simplify]: Simplify (/ 1 1) into 1 8.340 * [backup-simplify]: Simplify (* a PI) into (* a PI) 8.340 * [backup-simplify]: Simplify (* PI 0) into 0 8.341 * [backup-simplify]: Simplify (- 0) into 0 8.341 * [backup-simplify]: Simplify (+ (* a PI) 0) into (* a PI) 8.341 * [backup-simplify]: Simplify (+ 0 1) into 1 8.341 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 8.341 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (+ (/ 1 a) (/ 1 b))) in a 8.341 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 8.341 * [taylor]: Taking taylor expansion of (* a PI) in a 8.341 * [taylor]: Taking taylor expansion of a in a 8.341 * [backup-simplify]: Simplify 0 into 0 8.341 * [backup-simplify]: Simplify 1 into 1 8.341 * [taylor]: Taking taylor expansion of PI in a 8.341 * [backup-simplify]: Simplify PI into PI 8.341 * [taylor]: Taking taylor expansion of (* PI b) in a 8.341 * [taylor]: Taking taylor expansion of PI in a 8.341 * [backup-simplify]: Simplify PI into PI 8.341 * [taylor]: Taking taylor expansion of b in a 8.341 * [backup-simplify]: Simplify b into b 8.341 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.341 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.342 * [taylor]: Taking taylor expansion of a in a 8.342 * [backup-simplify]: Simplify 0 into 0 8.342 * [backup-simplify]: Simplify 1 into 1 8.342 * [backup-simplify]: Simplify (/ 1 1) into 1 8.342 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.342 * [taylor]: Taking taylor expansion of b in a 8.342 * [backup-simplify]: Simplify b into b 8.342 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.342 * [backup-simplify]: Simplify (* 0 PI) into 0 8.343 * [backup-simplify]: Simplify (* PI b) into (* b PI) 8.343 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 8.343 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 8.343 * [backup-simplify]: Simplify (+ 1 0) into 1 8.343 * [backup-simplify]: Simplify (/ (- (* PI b)) 1) into (* -1 (* b PI)) 8.343 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (+ (/ 1 a) (/ 1 b))) in a 8.343 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 8.343 * [taylor]: Taking taylor expansion of (* a PI) in a 8.343 * [taylor]: Taking taylor expansion of a in a 8.343 * [backup-simplify]: Simplify 0 into 0 8.343 * [backup-simplify]: Simplify 1 into 1 8.343 * [taylor]: Taking taylor expansion of PI in a 8.343 * [backup-simplify]: Simplify PI into PI 8.343 * [taylor]: Taking taylor expansion of (* PI b) in a 8.343 * [taylor]: Taking taylor expansion of PI in a 8.344 * [backup-simplify]: Simplify PI into PI 8.344 * [taylor]: Taking taylor expansion of b in a 8.344 * [backup-simplify]: Simplify b into b 8.344 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.344 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.344 * [taylor]: Taking taylor expansion of a in a 8.344 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify 1 into 1 8.344 * [backup-simplify]: Simplify (/ 1 1) into 1 8.344 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.344 * [taylor]: Taking taylor expansion of b in a 8.344 * [backup-simplify]: Simplify b into b 8.344 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.345 * [backup-simplify]: Simplify (* 0 PI) into 0 8.345 * [backup-simplify]: Simplify (* PI b) into (* b PI) 8.345 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 8.345 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 8.345 * [backup-simplify]: Simplify (+ 1 0) into 1 8.345 * [backup-simplify]: Simplify (/ (- (* PI b)) 1) into (* -1 (* b PI)) 8.345 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 8.346 * [taylor]: Taking taylor expansion of -1 in b 8.346 * [backup-simplify]: Simplify -1 into -1 8.346 * [taylor]: Taking taylor expansion of (* b PI) in b 8.346 * [taylor]: Taking taylor expansion of b in b 8.346 * [backup-simplify]: Simplify 0 into 0 8.346 * [backup-simplify]: Simplify 1 into 1 8.346 * [taylor]: Taking taylor expansion of PI in b 8.346 * [backup-simplify]: Simplify PI into PI 8.347 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.347 * [backup-simplify]: Simplify (* 0 PI) into 0 8.349 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 8.349 * [backup-simplify]: Simplify (- PI) into (- PI) 8.351 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.351 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 8.352 * [backup-simplify]: Simplify (- 0) into 0 8.352 * [backup-simplify]: Simplify (+ PI 0) into PI 8.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.353 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 8.354 * [backup-simplify]: Simplify (- (/ PI 1) (+ (* (* -1 (* b PI)) (/ (/ 1 b) 1)))) into (* 2 PI) 8.354 * [taylor]: Taking taylor expansion of (* 2 PI) in b 8.354 * [taylor]: Taking taylor expansion of 2 in b 8.354 * [backup-simplify]: Simplify 2 into 2 8.354 * [taylor]: Taking taylor expansion of PI in b 8.354 * [backup-simplify]: Simplify PI into PI 8.355 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 8.355 * [backup-simplify]: Simplify 0 into 0 8.356 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.357 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 8.357 * [backup-simplify]: Simplify 0 into 0 8.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.359 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 8.359 * [backup-simplify]: Simplify (- 0) into 0 8.359 * [backup-simplify]: Simplify (+ 0 0) into 0 8.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.361 * [backup-simplify]: Simplify (+ 0 0) into 0 8.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* b PI)) (/ 0 1)) (* (* 2 PI) (/ (/ 1 b) 1)))) into (- (* 2 (/ PI b))) 8.362 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI b))) in b 8.362 * [taylor]: Taking taylor expansion of (* 2 (/ PI b)) in b 8.362 * [taylor]: Taking taylor expansion of 2 in b 8.362 * [backup-simplify]: Simplify 2 into 2 8.362 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.362 * [taylor]: Taking taylor expansion of PI in b 8.363 * [backup-simplify]: Simplify PI into PI 8.363 * [taylor]: Taking taylor expansion of b in b 8.363 * [backup-simplify]: Simplify 0 into 0 8.363 * [backup-simplify]: Simplify 1 into 1 8.363 * [backup-simplify]: Simplify (/ PI 1) into PI 8.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.366 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 8.366 * [backup-simplify]: Simplify (- 0) into 0 8.366 * [backup-simplify]: Simplify 0 into 0 8.367 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 8.367 * [backup-simplify]: Simplify 0 into 0 8.368 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.369 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.369 * [backup-simplify]: Simplify 0 into 0 8.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.372 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 8.372 * [backup-simplify]: Simplify (- 0) into 0 8.372 * [backup-simplify]: Simplify (+ 0 0) into 0 8.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 8.374 * [backup-simplify]: Simplify (+ 0 0) into 0 8.376 * [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))) 8.376 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 8.376 * [taylor]: Taking taylor expansion of 2 in b 8.376 * [backup-simplify]: Simplify 2 into 2 8.376 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.376 * [taylor]: Taking taylor expansion of PI in b 8.376 * [backup-simplify]: Simplify PI into PI 8.376 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.376 * [taylor]: Taking taylor expansion of b in b 8.376 * [backup-simplify]: Simplify 0 into 0 8.376 * [backup-simplify]: Simplify 1 into 1 8.376 * [backup-simplify]: Simplify (* 1 1) into 1 8.377 * [backup-simplify]: Simplify (/ PI 1) into PI 8.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.383 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.383 * [backup-simplify]: Simplify 0 into 0 8.383 * [backup-simplify]: Simplify (* (- PI) (* (/ 1 b) (/ 1 a))) into (* -1 (/ PI (* a b))) 8.383 * [backup-simplify]: Simplify (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b)))) 8.383 * [approximate]: Taking taylor expansion of (* -1 (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 8.384 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b)))) in b 8.384 * [taylor]: Taking taylor expansion of -1 in b 8.384 * [backup-simplify]: Simplify -1 into -1 8.384 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b))) in b 8.384 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in b 8.384 * [taylor]: Taking taylor expansion of (* b PI) in b 8.384 * [taylor]: Taking taylor expansion of b in b 8.384 * [backup-simplify]: Simplify 0 into 0 8.384 * [backup-simplify]: Simplify 1 into 1 8.384 * [taylor]: Taking taylor expansion of PI in b 8.384 * [backup-simplify]: Simplify PI into PI 8.384 * [taylor]: Taking taylor expansion of (* a PI) in b 8.384 * [taylor]: Taking taylor expansion of a in b 8.384 * [backup-simplify]: Simplify a into a 8.384 * [taylor]: Taking taylor expansion of PI in b 8.384 * [backup-simplify]: Simplify PI into PI 8.384 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.384 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.384 * [taylor]: Taking taylor expansion of a in b 8.384 * [backup-simplify]: Simplify a into a 8.384 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.384 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.384 * [taylor]: Taking taylor expansion of b in b 8.384 * [backup-simplify]: Simplify 0 into 0 8.384 * [backup-simplify]: Simplify 1 into 1 8.385 * [backup-simplify]: Simplify (/ 1 1) into 1 8.385 * [backup-simplify]: Simplify (* 0 PI) into 0 8.385 * [backup-simplify]: Simplify (* a PI) into (* a PI) 8.385 * [backup-simplify]: Simplify (- (* a PI)) into (- (* a PI)) 8.385 * [backup-simplify]: Simplify (+ 0 (- (* a PI))) into (- (* a PI)) 8.386 * [backup-simplify]: Simplify (+ 0 1) into 1 8.386 * [backup-simplify]: Simplify (/ (- (* a PI)) 1) into (* -1 (* a PI)) 8.386 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b)))) in a 8.386 * [taylor]: Taking taylor expansion of -1 in a 8.386 * [backup-simplify]: Simplify -1 into -1 8.386 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b))) in a 8.386 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 8.386 * [taylor]: Taking taylor expansion of (* b PI) in a 8.386 * [taylor]: Taking taylor expansion of b in a 8.386 * [backup-simplify]: Simplify b into b 8.386 * [taylor]: Taking taylor expansion of PI in a 8.386 * [backup-simplify]: Simplify PI into PI 8.386 * [taylor]: Taking taylor expansion of (* a PI) in a 8.386 * [taylor]: Taking taylor expansion of a in a 8.386 * [backup-simplify]: Simplify 0 into 0 8.386 * [backup-simplify]: Simplify 1 into 1 8.386 * [taylor]: Taking taylor expansion of PI in a 8.386 * [backup-simplify]: Simplify PI into PI 8.386 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.386 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.386 * [taylor]: Taking taylor expansion of a in a 8.386 * [backup-simplify]: Simplify 0 into 0 8.386 * [backup-simplify]: Simplify 1 into 1 8.387 * [backup-simplify]: Simplify (/ 1 1) into 1 8.387 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.387 * [taylor]: Taking taylor expansion of b in a 8.387 * [backup-simplify]: Simplify b into b 8.387 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.387 * [backup-simplify]: Simplify (* b PI) into (* PI b) 8.387 * [backup-simplify]: Simplify (* 0 PI) into 0 8.388 * [backup-simplify]: Simplify (- 0) into 0 8.388 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 8.388 * [backup-simplify]: Simplify (+ 1 0) into 1 8.388 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 8.388 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b)))) in a 8.388 * [taylor]: Taking taylor expansion of -1 in a 8.388 * [backup-simplify]: Simplify -1 into -1 8.388 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b))) in a 8.388 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 8.388 * [taylor]: Taking taylor expansion of (* b PI) in a 8.388 * [taylor]: Taking taylor expansion of b in a 8.388 * [backup-simplify]: Simplify b into b 8.388 * [taylor]: Taking taylor expansion of PI in a 8.388 * [backup-simplify]: Simplify PI into PI 8.388 * [taylor]: Taking taylor expansion of (* a PI) in a 8.389 * [taylor]: Taking taylor expansion of a in a 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify 1 into 1 8.389 * [taylor]: Taking taylor expansion of PI in a 8.389 * [backup-simplify]: Simplify PI into PI 8.389 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.389 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.389 * [taylor]: Taking taylor expansion of a in a 8.389 * [backup-simplify]: Simplify 0 into 0 8.389 * [backup-simplify]: Simplify 1 into 1 8.389 * [backup-simplify]: Simplify (/ 1 1) into 1 8.389 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.389 * [taylor]: Taking taylor expansion of b in a 8.389 * [backup-simplify]: Simplify b into b 8.389 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.389 * [backup-simplify]: Simplify (* b PI) into (* PI b) 8.390 * [backup-simplify]: Simplify (* 0 PI) into 0 8.390 * [backup-simplify]: Simplify (- 0) into 0 8.390 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 8.391 * [backup-simplify]: Simplify (+ 1 0) into 1 8.391 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 8.391 * [backup-simplify]: Simplify (* -1 (* PI b)) into (* -1 (* PI b)) 8.391 * [taylor]: Taking taylor expansion of (* -1 (* PI b)) in b 8.391 * [taylor]: Taking taylor expansion of -1 in b 8.391 * [backup-simplify]: Simplify -1 into -1 8.391 * [taylor]: Taking taylor expansion of (* PI b) in b 8.391 * [taylor]: Taking taylor expansion of PI in b 8.391 * [backup-simplify]: Simplify PI into PI 8.391 * [taylor]: Taking taylor expansion of b in b 8.391 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify 1 into 1 8.392 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 8.393 * [backup-simplify]: Simplify (* PI 0) into 0 8.394 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 8.395 * [backup-simplify]: Simplify (- PI) into (- PI) 8.396 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 8.397 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.397 * [backup-simplify]: Simplify (- PI) into (- PI) 8.398 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 8.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.399 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 8.400 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- (* 2 PI)) 8.402 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 PI))) (* 0 (* PI b))) into (* 2 PI) 8.402 * [taylor]: Taking taylor expansion of (* 2 PI) in b 8.402 * [taylor]: Taking taylor expansion of 2 in b 8.402 * [backup-simplify]: Simplify 2 into 2 8.402 * [taylor]: Taking taylor expansion of PI in b 8.402 * [backup-simplify]: Simplify PI into PI 8.403 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 8.403 * [backup-simplify]: Simplify 0 into 0 8.404 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 8.405 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 8.405 * [backup-simplify]: Simplify 0 into 0 8.406 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 8.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.407 * [backup-simplify]: Simplify (- 0) into 0 8.408 * [backup-simplify]: Simplify (+ 0 0) into 0 8.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.409 * [backup-simplify]: Simplify (+ 0 0) into 0 8.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- (* 2 PI)) (/ (/ 1 b) 1)))) into (* 2 (/ PI b)) 8.412 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ PI b))) (+ (* 0 (- (* 2 PI))) (* 0 (* PI b)))) into (- (* 2 (/ PI b))) 8.412 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI b))) in b 8.412 * [taylor]: Taking taylor expansion of (* 2 (/ PI b)) in b 8.412 * [taylor]: Taking taylor expansion of 2 in b 8.412 * [backup-simplify]: Simplify 2 into 2 8.412 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.412 * [taylor]: Taking taylor expansion of PI in b 8.412 * [backup-simplify]: Simplify PI into PI 8.412 * [taylor]: Taking taylor expansion of b in b 8.412 * [backup-simplify]: Simplify 0 into 0 8.412 * [backup-simplify]: Simplify 1 into 1 8.413 * [backup-simplify]: Simplify (/ PI 1) into PI 8.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.416 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 8.416 * [backup-simplify]: Simplify (- 0) into 0 8.416 * [backup-simplify]: Simplify 0 into 0 8.417 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 8.418 * [backup-simplify]: Simplify 0 into 0 8.419 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.420 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.420 * [backup-simplify]: Simplify 0 into 0 8.421 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.422 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.423 * [backup-simplify]: Simplify (- 0) into 0 8.423 * [backup-simplify]: Simplify (+ 0 0) into 0 8.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 8.424 * [backup-simplify]: Simplify (+ 0 0) into 0 8.426 * [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)))) 8.427 * [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))) 8.427 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 8.428 * [taylor]: Taking taylor expansion of 2 in b 8.428 * [backup-simplify]: Simplify 2 into 2 8.428 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.428 * [taylor]: Taking taylor expansion of PI in b 8.428 * [backup-simplify]: Simplify PI into PI 8.428 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.428 * [taylor]: Taking taylor expansion of b in b 8.428 * [backup-simplify]: Simplify 0 into 0 8.428 * [backup-simplify]: Simplify 1 into 1 8.428 * [backup-simplify]: Simplify (* 1 1) into 1 8.429 * [backup-simplify]: Simplify (/ PI 1) into PI 8.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.436 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.436 * [backup-simplify]: Simplify 0 into 0 8.436 * [backup-simplify]: Simplify (* (- PI) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1 (/ PI (* a b))) 8.437 * * * * [progress]: [ 4 / 4 ] generating series at (2) 8.437 * [backup-simplify]: Simplify (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) (* 2 (- b a))) into (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) 8.437 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in (a b) around 0 8.437 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in b 8.437 * [taylor]: Taking taylor expansion of 1/2 in b 8.437 * [backup-simplify]: Simplify 1/2 into 1/2 8.437 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in b 8.437 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b 8.437 * [taylor]: Taking taylor expansion of (/ PI a) in b 8.437 * [taylor]: Taking taylor expansion of PI in b 8.437 * [backup-simplify]: Simplify PI into PI 8.437 * [taylor]: Taking taylor expansion of a in b 8.437 * [backup-simplify]: Simplify a into a 8.437 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 8.437 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.437 * [taylor]: Taking taylor expansion of PI in b 8.437 * [backup-simplify]: Simplify PI into PI 8.437 * [taylor]: Taking taylor expansion of b in b 8.437 * [backup-simplify]: Simplify 0 into 0 8.437 * [backup-simplify]: Simplify 1 into 1 8.438 * [backup-simplify]: Simplify (/ PI 1) into PI 8.438 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 8.438 * [taylor]: Taking taylor expansion of (- b a) in b 8.438 * [taylor]: Taking taylor expansion of b in b 8.438 * [backup-simplify]: Simplify 0 into 0 8.438 * [backup-simplify]: Simplify 1 into 1 8.438 * [taylor]: Taking taylor expansion of a in b 8.438 * [backup-simplify]: Simplify a into a 8.438 * [taylor]: Taking taylor expansion of (+ a b) in b 8.438 * [taylor]: Taking taylor expansion of a in b 8.438 * [backup-simplify]: Simplify a into a 8.438 * [taylor]: Taking taylor expansion of b in b 8.438 * [backup-simplify]: Simplify 0 into 0 8.438 * [backup-simplify]: Simplify 1 into 1 8.439 * [backup-simplify]: Simplify (- PI) into (- PI) 8.439 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 8.439 * [backup-simplify]: Simplify (- a) into (- a) 8.440 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 8.440 * [backup-simplify]: Simplify (+ a 0) into a 8.440 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 8.440 * [backup-simplify]: Simplify (/ (- PI) (* -1 (pow a 2))) into (/ PI (pow a 2)) 8.440 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in a 8.440 * [taylor]: Taking taylor expansion of 1/2 in a 8.440 * [backup-simplify]: Simplify 1/2 into 1/2 8.440 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in a 8.440 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 8.440 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.440 * [taylor]: Taking taylor expansion of PI in a 8.440 * [backup-simplify]: Simplify PI into PI 8.440 * [taylor]: Taking taylor expansion of a in a 8.440 * [backup-simplify]: Simplify 0 into 0 8.440 * [backup-simplify]: Simplify 1 into 1 8.441 * [backup-simplify]: Simplify (/ PI 1) into PI 8.441 * [taylor]: Taking taylor expansion of (/ PI b) in a 8.441 * [taylor]: Taking taylor expansion of PI in a 8.441 * [backup-simplify]: Simplify PI into PI 8.441 * [taylor]: Taking taylor expansion of b in a 8.441 * [backup-simplify]: Simplify b into b 8.441 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.441 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 8.441 * [taylor]: Taking taylor expansion of (- b a) in a 8.441 * [taylor]: Taking taylor expansion of b in a 8.441 * [backup-simplify]: Simplify b into b 8.441 * [taylor]: Taking taylor expansion of a in a 8.441 * [backup-simplify]: Simplify 0 into 0 8.441 * [backup-simplify]: Simplify 1 into 1 8.441 * [taylor]: Taking taylor expansion of (+ a b) in a 8.441 * [taylor]: Taking taylor expansion of a in a 8.441 * [backup-simplify]: Simplify 0 into 0 8.441 * [backup-simplify]: Simplify 1 into 1 8.441 * [taylor]: Taking taylor expansion of b in a 8.441 * [backup-simplify]: Simplify b into b 8.442 * [backup-simplify]: Simplify (+ PI 0) into PI 8.442 * [backup-simplify]: Simplify (- 0) into 0 8.442 * [backup-simplify]: Simplify (+ b 0) into b 8.442 * [backup-simplify]: Simplify (+ 0 b) into b 8.442 * [backup-simplify]: Simplify (* b b) into (pow b 2) 8.443 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 8.443 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b)))) in a 8.443 * [taylor]: Taking taylor expansion of 1/2 in a 8.443 * [backup-simplify]: Simplify 1/2 into 1/2 8.443 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in a 8.443 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 8.443 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.443 * [taylor]: Taking taylor expansion of PI in a 8.443 * [backup-simplify]: Simplify PI into PI 8.443 * [taylor]: Taking taylor expansion of a in a 8.443 * [backup-simplify]: Simplify 0 into 0 8.443 * [backup-simplify]: Simplify 1 into 1 8.443 * [backup-simplify]: Simplify (/ PI 1) into PI 8.443 * [taylor]: Taking taylor expansion of (/ PI b) in a 8.443 * [taylor]: Taking taylor expansion of PI in a 8.443 * [backup-simplify]: Simplify PI into PI 8.443 * [taylor]: Taking taylor expansion of b in a 8.443 * [backup-simplify]: Simplify b into b 8.444 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.444 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 8.444 * [taylor]: Taking taylor expansion of (- b a) in a 8.444 * [taylor]: Taking taylor expansion of b in a 8.444 * [backup-simplify]: Simplify b into b 8.444 * [taylor]: Taking taylor expansion of a in a 8.444 * [backup-simplify]: Simplify 0 into 0 8.444 * [backup-simplify]: Simplify 1 into 1 8.444 * [taylor]: Taking taylor expansion of (+ a b) in a 8.444 * [taylor]: Taking taylor expansion of a in a 8.444 * [backup-simplify]: Simplify 0 into 0 8.444 * [backup-simplify]: Simplify 1 into 1 8.444 * [taylor]: Taking taylor expansion of b in a 8.444 * [backup-simplify]: Simplify b into b 8.444 * [backup-simplify]: Simplify (+ PI 0) into PI 8.445 * [backup-simplify]: Simplify (- 0) into 0 8.445 * [backup-simplify]: Simplify (+ b 0) into b 8.445 * [backup-simplify]: Simplify (+ 0 b) into b 8.445 * [backup-simplify]: Simplify (* b b) into (pow b 2) 8.445 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 8.445 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 8.445 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 8.445 * [taylor]: Taking taylor expansion of 1/2 in b 8.445 * [backup-simplify]: Simplify 1/2 into 1/2 8.445 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.445 * [taylor]: Taking taylor expansion of PI in b 8.445 * [backup-simplify]: Simplify PI into PI 8.445 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.445 * [taylor]: Taking taylor expansion of b in b 8.445 * [backup-simplify]: Simplify 0 into 0 8.445 * [backup-simplify]: Simplify 1 into 1 8.446 * [backup-simplify]: Simplify (* 1 1) into 1 8.446 * [backup-simplify]: Simplify (/ PI 1) into PI 8.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.449 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 8.449 * [backup-simplify]: Simplify 0 into 0 8.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.450 * [backup-simplify]: Simplify (- (/ PI b)) into (- (/ PI b)) 8.450 * [backup-simplify]: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) 8.450 * [backup-simplify]: Simplify (+ 1 0) into 1 8.450 * [backup-simplify]: Simplify (- 1) into -1 8.451 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.451 * [backup-simplify]: Simplify (+ (* b 1) (* -1 b)) into 0 8.451 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into (- (/ PI (pow b 3))) 8.452 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 8.452 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 8.452 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 8.452 * [taylor]: Taking taylor expansion of 1/2 in b 8.452 * [backup-simplify]: Simplify 1/2 into 1/2 8.452 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 8.452 * [taylor]: Taking taylor expansion of PI in b 8.452 * [backup-simplify]: Simplify PI into PI 8.452 * [taylor]: Taking taylor expansion of (pow b 3) in b 8.452 * [taylor]: Taking taylor expansion of b in b 8.452 * [backup-simplify]: Simplify 0 into 0 8.452 * [backup-simplify]: Simplify 1 into 1 8.452 * [backup-simplify]: Simplify (* 1 1) into 1 8.453 * [backup-simplify]: Simplify (* 1 1) into 1 8.453 * [backup-simplify]: Simplify (/ PI 1) into PI 8.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.459 * [backup-simplify]: Simplify (- 0) into 0 8.459 * [backup-simplify]: Simplify 0 into 0 8.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.461 * [backup-simplify]: Simplify 0 into 0 8.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.461 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 8.462 * [backup-simplify]: Simplify (- 0) into 0 8.462 * [backup-simplify]: Simplify (+ 0 0) into 0 8.462 * [backup-simplify]: Simplify (+ 0 0) into 0 8.462 * [backup-simplify]: Simplify (- 0) into 0 8.463 * [backup-simplify]: Simplify (+ 0 0) into 0 8.463 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 1) (* 0 b))) into (- 1) 8.463 * [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)) 8.464 * [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))) 8.464 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 8.464 * [taylor]: Taking taylor expansion of 1/2 in b 8.464 * [backup-simplify]: Simplify 1/2 into 1/2 8.464 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 8.464 * [taylor]: Taking taylor expansion of PI in b 8.464 * [backup-simplify]: Simplify PI into PI 8.464 * [taylor]: Taking taylor expansion of (pow b 4) in b 8.464 * [taylor]: Taking taylor expansion of b in b 8.464 * [backup-simplify]: Simplify 0 into 0 8.464 * [backup-simplify]: Simplify 1 into 1 8.465 * [backup-simplify]: Simplify (* 1 1) into 1 8.466 * [backup-simplify]: Simplify (* 1 1) into 1 8.466 * [backup-simplify]: Simplify (/ PI 1) into PI 8.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.472 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.472 * [backup-simplify]: Simplify 0 into 0 8.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.475 * [backup-simplify]: Simplify (- 0) into 0 8.475 * [backup-simplify]: Simplify 0 into 0 8.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.476 * [backup-simplify]: Simplify 0 into 0 8.477 * [backup-simplify]: Simplify 0 into 0 8.477 * [backup-simplify]: Simplify (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (+ (/ 1 a) (/ 1 b))) (* 2 (- (/ 1 b) (/ 1 a)))) into (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) 8.477 * [approximate]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in (a b) around 0 8.477 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in b 8.477 * [taylor]: Taking taylor expansion of 1/2 in b 8.477 * [backup-simplify]: Simplify 1/2 into 1/2 8.477 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 8.477 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in b 8.477 * [taylor]: Taking taylor expansion of (* a PI) in b 8.477 * [taylor]: Taking taylor expansion of a in b 8.477 * [backup-simplify]: Simplify a into a 8.477 * [taylor]: Taking taylor expansion of PI in b 8.477 * [backup-simplify]: Simplify PI into PI 8.477 * [taylor]: Taking taylor expansion of (* PI b) in b 8.477 * [taylor]: Taking taylor expansion of PI in b 8.477 * [backup-simplify]: Simplify PI into PI 8.477 * [taylor]: Taking taylor expansion of b in b 8.477 * [backup-simplify]: Simplify 0 into 0 8.477 * [backup-simplify]: Simplify 1 into 1 8.477 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 8.477 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 8.477 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.477 * [taylor]: Taking taylor expansion of b in b 8.477 * [backup-simplify]: Simplify 0 into 0 8.477 * [backup-simplify]: Simplify 1 into 1 8.477 * [backup-simplify]: Simplify (/ 1 1) into 1 8.477 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.478 * [taylor]: Taking taylor expansion of a in b 8.478 * [backup-simplify]: Simplify a into a 8.478 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.478 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.478 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.478 * [taylor]: Taking taylor expansion of a in b 8.478 * [backup-simplify]: Simplify a into a 8.478 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.478 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.478 * [taylor]: Taking taylor expansion of b in b 8.478 * [backup-simplify]: Simplify 0 into 0 8.478 * [backup-simplify]: Simplify 1 into 1 8.478 * [backup-simplify]: Simplify (/ 1 1) into 1 8.478 * [backup-simplify]: Simplify (* a PI) into (* a PI) 8.478 * [backup-simplify]: Simplify (* PI 0) into 0 8.479 * [backup-simplify]: Simplify (- 0) into 0 8.479 * [backup-simplify]: Simplify (+ (* a PI) 0) into (* a PI) 8.479 * [backup-simplify]: Simplify (+ 1 0) into 1 8.479 * [backup-simplify]: Simplify (+ 0 1) into 1 8.480 * [backup-simplify]: Simplify (* 1 1) into 1 8.480 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 8.480 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in a 8.480 * [taylor]: Taking taylor expansion of 1/2 in a 8.480 * [backup-simplify]: Simplify 1/2 into 1/2 8.480 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 8.480 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 8.480 * [taylor]: Taking taylor expansion of (* a PI) in a 8.480 * [taylor]: Taking taylor expansion of a in a 8.480 * [backup-simplify]: Simplify 0 into 0 8.480 * [backup-simplify]: Simplify 1 into 1 8.480 * [taylor]: Taking taylor expansion of PI in a 8.480 * [backup-simplify]: Simplify PI into PI 8.480 * [taylor]: Taking taylor expansion of (* PI b) in a 8.480 * [taylor]: Taking taylor expansion of PI in a 8.480 * [backup-simplify]: Simplify PI into PI 8.480 * [taylor]: Taking taylor expansion of b in a 8.480 * [backup-simplify]: Simplify b into b 8.480 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 8.480 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 8.480 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.480 * [taylor]: Taking taylor expansion of b in a 8.480 * [backup-simplify]: Simplify b into b 8.480 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.480 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.480 * [taylor]: Taking taylor expansion of a in a 8.480 * [backup-simplify]: Simplify 0 into 0 8.480 * [backup-simplify]: Simplify 1 into 1 8.480 * [backup-simplify]: Simplify (/ 1 1) into 1 8.480 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.480 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.480 * [taylor]: Taking taylor expansion of a in a 8.480 * [backup-simplify]: Simplify 0 into 0 8.480 * [backup-simplify]: Simplify 1 into 1 8.481 * [backup-simplify]: Simplify (/ 1 1) into 1 8.481 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.481 * [taylor]: Taking taylor expansion of b in a 8.481 * [backup-simplify]: Simplify b into b 8.481 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.481 * [backup-simplify]: Simplify (* 0 PI) into 0 8.481 * [backup-simplify]: Simplify (* PI b) into (* b PI) 8.481 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 8.481 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 8.481 * [backup-simplify]: Simplify (- 1) into -1 8.482 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.482 * [backup-simplify]: Simplify (+ 1 0) into 1 8.482 * [backup-simplify]: Simplify (* -1 1) into -1 8.482 * [backup-simplify]: Simplify (/ (- (* PI b)) -1) into (* b PI) 8.482 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in a 8.482 * [taylor]: Taking taylor expansion of 1/2 in a 8.482 * [backup-simplify]: Simplify 1/2 into 1/2 8.482 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 8.482 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 8.482 * [taylor]: Taking taylor expansion of (* a PI) in a 8.482 * [taylor]: Taking taylor expansion of a in a 8.482 * [backup-simplify]: Simplify 0 into 0 8.482 * [backup-simplify]: Simplify 1 into 1 8.482 * [taylor]: Taking taylor expansion of PI in a 8.483 * [backup-simplify]: Simplify PI into PI 8.483 * [taylor]: Taking taylor expansion of (* PI b) in a 8.483 * [taylor]: Taking taylor expansion of PI in a 8.483 * [backup-simplify]: Simplify PI into PI 8.483 * [taylor]: Taking taylor expansion of b in a 8.483 * [backup-simplify]: Simplify b into b 8.483 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 8.483 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 8.483 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.483 * [taylor]: Taking taylor expansion of b in a 8.483 * [backup-simplify]: Simplify b into b 8.483 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.483 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.483 * [taylor]: Taking taylor expansion of a in a 8.483 * [backup-simplify]: Simplify 0 into 0 8.483 * [backup-simplify]: Simplify 1 into 1 8.483 * [backup-simplify]: Simplify (/ 1 1) into 1 8.483 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.483 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.483 * [taylor]: Taking taylor expansion of a in a 8.483 * [backup-simplify]: Simplify 0 into 0 8.483 * [backup-simplify]: Simplify 1 into 1 8.483 * [backup-simplify]: Simplify (/ 1 1) into 1 8.483 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.483 * [taylor]: Taking taylor expansion of b in a 8.483 * [backup-simplify]: Simplify b into b 8.483 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.484 * [backup-simplify]: Simplify (* 0 PI) into 0 8.484 * [backup-simplify]: Simplify (* PI b) into (* b PI) 8.484 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 8.484 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 8.484 * [backup-simplify]: Simplify (- 1) into -1 8.484 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.485 * [backup-simplify]: Simplify (+ 1 0) into 1 8.485 * [backup-simplify]: Simplify (* -1 1) into -1 8.485 * [backup-simplify]: Simplify (/ (- (* PI b)) -1) into (* b PI) 8.485 * [backup-simplify]: Simplify (* 1/2 (* b PI)) into (* 1/2 (* b PI)) 8.485 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 8.485 * [taylor]: Taking taylor expansion of 1/2 in b 8.485 * [backup-simplify]: Simplify 1/2 into 1/2 8.485 * [taylor]: Taking taylor expansion of (* b PI) in b 8.485 * [taylor]: Taking taylor expansion of b in b 8.485 * [backup-simplify]: Simplify 0 into 0 8.485 * [backup-simplify]: Simplify 1 into 1 8.485 * [taylor]: Taking taylor expansion of PI in b 8.485 * [backup-simplify]: Simplify PI into PI 8.486 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.487 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.487 * [backup-simplify]: Simplify (* 0 PI) into 0 8.488 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 8.488 * [backup-simplify]: Simplify 0 into 0 8.490 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.490 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 8.491 * [backup-simplify]: Simplify (- 0) into 0 8.491 * [backup-simplify]: Simplify (+ PI 0) into PI 8.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.492 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 8.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.493 * [backup-simplify]: Simplify (- 0) into 0 8.493 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 8.493 * [backup-simplify]: Simplify (+ (* -1 (/ 1 b)) (* (/ 1 b) 1)) into 0 8.494 * [backup-simplify]: Simplify (- (/ PI -1) (+ (* (* b PI) (/ 0 -1)))) into (- PI) 8.495 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* b PI))) into (- (* 1/2 PI)) 8.495 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 8.495 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 8.495 * [taylor]: Taking taylor expansion of 1/2 in b 8.495 * [backup-simplify]: Simplify 1/2 into 1/2 8.495 * [taylor]: Taking taylor expansion of PI in b 8.495 * [backup-simplify]: Simplify PI into PI 8.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.497 * [backup-simplify]: Simplify (- 0) into 0 8.497 * [backup-simplify]: Simplify 0 into 0 8.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.499 * [backup-simplify]: Simplify 0 into 0 8.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.501 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 8.501 * [backup-simplify]: Simplify (- 0) into 0 8.502 * [backup-simplify]: Simplify (+ 0 0) into 0 8.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.503 * [backup-simplify]: Simplify (+ 0 0) into 0 8.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.505 * [backup-simplify]: Simplify (- 0) into 0 8.505 * [backup-simplify]: Simplify (+ 0 0) into 0 8.506 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 8.508 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* b PI) (/ (/ 1 (pow b 2)) -1)) (* (- PI) (/ 0 -1)))) into (/ PI b) 8.508 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* b PI)))) into (* 1/2 (/ PI b)) 8.508 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 8.508 * [taylor]: Taking taylor expansion of 1/2 in b 8.508 * [backup-simplify]: Simplify 1/2 into 1/2 8.508 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.508 * [taylor]: Taking taylor expansion of PI in b 8.509 * [backup-simplify]: Simplify PI into PI 8.509 * [taylor]: Taking taylor expansion of b in b 8.509 * [backup-simplify]: Simplify 0 into 0 8.509 * [backup-simplify]: Simplify 1 into 1 8.509 * [backup-simplify]: Simplify (/ PI 1) into PI 8.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.513 * [backup-simplify]: Simplify 0 into 0 8.515 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.515 * [backup-simplify]: Simplify (- 0) into 0 8.515 * [backup-simplify]: Simplify 0 into 0 8.517 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 8.518 * [backup-simplify]: Simplify 0 into 0 8.518 * [backup-simplify]: Simplify 0 into 0 8.518 * [backup-simplify]: Simplify (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (- (/ 1 (- b)) (/ 1 (- a))))) into (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) 8.518 * [approximate]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in (a b) around 0 8.519 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in b 8.519 * [taylor]: Taking taylor expansion of -1/2 in b 8.519 * [backup-simplify]: Simplify -1/2 into -1/2 8.519 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in b 8.519 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in b 8.519 * [taylor]: Taking taylor expansion of (* b PI) in b 8.519 * [taylor]: Taking taylor expansion of b in b 8.519 * [backup-simplify]: Simplify 0 into 0 8.519 * [backup-simplify]: Simplify 1 into 1 8.519 * [taylor]: Taking taylor expansion of PI in b 8.519 * [backup-simplify]: Simplify PI into PI 8.519 * [taylor]: Taking taylor expansion of (* a PI) in b 8.519 * [taylor]: Taking taylor expansion of a in b 8.519 * [backup-simplify]: Simplify a into a 8.519 * [taylor]: Taking taylor expansion of PI in b 8.519 * [backup-simplify]: Simplify PI into PI 8.519 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in b 8.519 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 8.519 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.519 * [taylor]: Taking taylor expansion of a in b 8.519 * [backup-simplify]: Simplify a into a 8.519 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.519 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.519 * [taylor]: Taking taylor expansion of b in b 8.519 * [backup-simplify]: Simplify 0 into 0 8.519 * [backup-simplify]: Simplify 1 into 1 8.520 * [backup-simplify]: Simplify (/ 1 1) into 1 8.520 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.520 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.520 * [taylor]: Taking taylor expansion of a in b 8.520 * [backup-simplify]: Simplify a into a 8.520 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.520 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.520 * [taylor]: Taking taylor expansion of b in b 8.520 * [backup-simplify]: Simplify 0 into 0 8.520 * [backup-simplify]: Simplify 1 into 1 8.520 * [backup-simplify]: Simplify (/ 1 1) into 1 8.521 * [backup-simplify]: Simplify (* 0 PI) into 0 8.521 * [backup-simplify]: Simplify (* a PI) into (* a PI) 8.521 * [backup-simplify]: Simplify (- (* a PI)) into (- (* a PI)) 8.521 * [backup-simplify]: Simplify (+ 0 (- (* a PI))) into (- (* a PI)) 8.521 * [backup-simplify]: Simplify (- 1) into -1 8.522 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.522 * [backup-simplify]: Simplify (+ 0 1) into 1 8.523 * [backup-simplify]: Simplify (* -1 1) into -1 8.523 * [backup-simplify]: Simplify (/ (- (* a PI)) -1) into (* a PI) 8.523 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in a 8.523 * [taylor]: Taking taylor expansion of -1/2 in a 8.523 * [backup-simplify]: Simplify -1/2 into -1/2 8.523 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in a 8.523 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 8.523 * [taylor]: Taking taylor expansion of (* b PI) in a 8.523 * [taylor]: Taking taylor expansion of b in a 8.523 * [backup-simplify]: Simplify b into b 8.523 * [taylor]: Taking taylor expansion of PI in a 8.523 * [backup-simplify]: Simplify PI into PI 8.523 * [taylor]: Taking taylor expansion of (* a PI) in a 8.523 * [taylor]: Taking taylor expansion of a in a 8.523 * [backup-simplify]: Simplify 0 into 0 8.523 * [backup-simplify]: Simplify 1 into 1 8.523 * [taylor]: Taking taylor expansion of PI in a 8.523 * [backup-simplify]: Simplify PI into PI 8.523 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in a 8.523 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 8.523 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.523 * [taylor]: Taking taylor expansion of a in a 8.523 * [backup-simplify]: Simplify 0 into 0 8.523 * [backup-simplify]: Simplify 1 into 1 8.524 * [backup-simplify]: Simplify (/ 1 1) into 1 8.524 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.524 * [taylor]: Taking taylor expansion of b in a 8.524 * [backup-simplify]: Simplify b into b 8.524 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.524 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.524 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.524 * [taylor]: Taking taylor expansion of a in a 8.524 * [backup-simplify]: Simplify 0 into 0 8.524 * [backup-simplify]: Simplify 1 into 1 8.524 * [backup-simplify]: Simplify (/ 1 1) into 1 8.524 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.524 * [taylor]: Taking taylor expansion of b in a 8.524 * [backup-simplify]: Simplify b into b 8.525 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.525 * [backup-simplify]: Simplify (* b PI) into (* PI b) 8.525 * [backup-simplify]: Simplify (* 0 PI) into 0 8.525 * [backup-simplify]: Simplify (- 0) into 0 8.526 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 8.526 * [backup-simplify]: Simplify (+ 1 0) into 1 8.526 * [backup-simplify]: Simplify (+ 1 0) into 1 8.527 * [backup-simplify]: Simplify (* 1 1) into 1 8.527 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 8.527 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in a 8.527 * [taylor]: Taking taylor expansion of -1/2 in a 8.527 * [backup-simplify]: Simplify -1/2 into -1/2 8.527 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in a 8.527 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 8.527 * [taylor]: Taking taylor expansion of (* b PI) in a 8.527 * [taylor]: Taking taylor expansion of b in a 8.527 * [backup-simplify]: Simplify b into b 8.527 * [taylor]: Taking taylor expansion of PI in a 8.527 * [backup-simplify]: Simplify PI into PI 8.527 * [taylor]: Taking taylor expansion of (* a PI) in a 8.527 * [taylor]: Taking taylor expansion of a in a 8.527 * [backup-simplify]: Simplify 0 into 0 8.527 * [backup-simplify]: Simplify 1 into 1 8.527 * [taylor]: Taking taylor expansion of PI in a 8.527 * [backup-simplify]: Simplify PI into PI 8.527 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in a 8.527 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 8.527 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.527 * [taylor]: Taking taylor expansion of a in a 8.527 * [backup-simplify]: Simplify 0 into 0 8.527 * [backup-simplify]: Simplify 1 into 1 8.528 * [backup-simplify]: Simplify (/ 1 1) into 1 8.528 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.528 * [taylor]: Taking taylor expansion of b in a 8.528 * [backup-simplify]: Simplify b into b 8.528 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.528 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.528 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.528 * [taylor]: Taking taylor expansion of a in a 8.528 * [backup-simplify]: Simplify 0 into 0 8.528 * [backup-simplify]: Simplify 1 into 1 8.529 * [backup-simplify]: Simplify (/ 1 1) into 1 8.529 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.529 * [taylor]: Taking taylor expansion of b in a 8.529 * [backup-simplify]: Simplify b into b 8.529 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.529 * [backup-simplify]: Simplify (* b PI) into (* PI b) 8.529 * [backup-simplify]: Simplify (* 0 PI) into 0 8.530 * [backup-simplify]: Simplify (- 0) into 0 8.530 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 8.530 * [backup-simplify]: Simplify (+ 1 0) into 1 8.531 * [backup-simplify]: Simplify (+ 1 0) into 1 8.531 * [backup-simplify]: Simplify (* 1 1) into 1 8.531 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 8.531 * [backup-simplify]: Simplify (* -1/2 (* PI b)) into (* -1/2 (* PI b)) 8.531 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 8.531 * [taylor]: Taking taylor expansion of -1/2 in b 8.531 * [backup-simplify]: Simplify -1/2 into -1/2 8.531 * [taylor]: Taking taylor expansion of (* PI b) in b 8.531 * [taylor]: Taking taylor expansion of PI in b 8.531 * [backup-simplify]: Simplify PI into PI 8.531 * [taylor]: Taking taylor expansion of b in b 8.531 * [backup-simplify]: Simplify 0 into 0 8.531 * [backup-simplify]: Simplify 1 into 1 8.532 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 8.534 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 8.534 * [backup-simplify]: Simplify (* PI 0) into 0 8.535 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 8.536 * [backup-simplify]: Simplify 0 into 0 8.536 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 8.538 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.538 * [backup-simplify]: Simplify (- PI) into (- PI) 8.539 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 8.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.540 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 8.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.541 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 8.541 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 8.541 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (- (/ 1 b)) 1)) into 0 8.542 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ 0 1)))) into (- PI) 8.543 * [backup-simplify]: Simplify (+ (* -1/2 (- PI)) (* 0 (* PI b))) into (* 1/2 PI) 8.543 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 8.543 * [taylor]: Taking taylor expansion of 1/2 in b 8.543 * [backup-simplify]: Simplify 1/2 into 1/2 8.543 * [taylor]: Taking taylor expansion of PI in b 8.543 * [backup-simplify]: Simplify PI into PI 8.544 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.544 * [backup-simplify]: Simplify 0 into 0 8.546 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.547 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.547 * [backup-simplify]: Simplify 0 into 0 8.548 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 8.549 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.549 * [backup-simplify]: Simplify (- 0) into 0 8.549 * [backup-simplify]: Simplify (+ 0 0) into 0 8.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.551 * [backup-simplify]: Simplify (+ 0 0) into 0 8.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.552 * [backup-simplify]: Simplify (- 0) into 0 8.553 * [backup-simplify]: Simplify (+ 0 0) into 0 8.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) (/ 1 b)) (* 0 1))) into (- (/ 1 (pow b 2))) 8.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* (- PI) (/ 0 1)))) into (/ PI b) 8.557 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (- (* 1/2 (/ PI b))) 8.557 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 8.557 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 8.557 * [taylor]: Taking taylor expansion of 1/2 in b 8.557 * [backup-simplify]: Simplify 1/2 into 1/2 8.557 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.557 * [taylor]: Taking taylor expansion of PI in b 8.557 * [backup-simplify]: Simplify PI into PI 8.557 * [taylor]: Taking taylor expansion of b in b 8.557 * [backup-simplify]: Simplify 0 into 0 8.557 * [backup-simplify]: Simplify 1 into 1 8.558 * [backup-simplify]: Simplify (/ PI 1) into PI 8.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.562 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.563 * [backup-simplify]: Simplify (- 0) into 0 8.563 * [backup-simplify]: Simplify 0 into 0 8.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.564 * [backup-simplify]: Simplify 0 into 0 8.565 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.567 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 8.567 * [backup-simplify]: Simplify 0 into 0 8.567 * [backup-simplify]: Simplify 0 into 0 8.567 * * * [progress]: simplifying candidates 8.567 * * * * [progress]: [ 1 / 291 ] simplifiying candidate # 8.567 * * * * [progress]: [ 2 / 291 ] simplifiying candidate # 8.567 * * * * [progress]: [ 3 / 291 ] simplifiying candidate # 8.567 * * * * [progress]: [ 4 / 291 ] simplifiying candidate # 8.567 * * * * [progress]: [ 5 / 291 ] simplifiying candidate # 8.567 * * * * [progress]: [ 6 / 291 ] simplifiying candidate # 8.567 * * * * [progress]: [ 7 / 291 ] simplifiying candidate # 8.568 * * * * [progress]: [ 8 / 291 ] simplifiying candidate # 8.568 * * * * [progress]: [ 9 / 291 ] simplifiying candidate # 8.568 * * * * [progress]: [ 10 / 291 ] simplifiying candidate # 8.568 * * * * [progress]: [ 11 / 291 ] simplifiying candidate # 8.568 * * * * [progress]: [ 12 / 291 ] simplifiying candidate # 8.568 * * * * [progress]: [ 13 / 291 ] simplifiying candidate # 8.568 * * * * [progress]: [ 14 / 291 ] simplifiying candidate # 8.568 * * * * [progress]: [ 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(real->posit16 (/ PI a))) (/ PI b)) (+ a b)) (* 2 (- b a))))> 8.569 * * * * [progress]: [ 31 / 291 ] simplifiying candidate # 8.569 * * * * [progress]: [ 32 / 291 ] simplifiying candidate # 8.569 * * * * [progress]: [ 33 / 291 ] simplifiying candidate # 8.569 * * * * [progress]: [ 34 / 291 ] simplifiying candidate # 8.569 * * * * [progress]: [ 35 / 291 ] simplifiying candidate # 8.570 * * * * [progress]: [ 36 / 291 ] simplifiying candidate # 8.570 * * * * [progress]: [ 37 / 291 ] simplifiying candidate # 8.570 * * * * [progress]: [ 38 / 291 ] simplifiying candidate # 8.570 * * * * [progress]: [ 39 / 291 ] simplifiying candidate # 8.570 * * * * [progress]: [ 40 / 291 ] simplifiying candidate # 8.570 * * * * [progress]: [ 41 / 291 ] simplifiying candidate # 8.570 * * * * [progress]: [ 42 / 291 ] simplifiying candidate # 8.570 * * * * [progress]: [ 43 / 291 ] simplifiying candidate # 8.570 * * * * [progress]: [ 44 / 291 ] simplifiying candidate # 8.570 * * * * [progress]: [ 45 / 291 ] 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PI)) (/ a PI) (real->posit16 (/ PI a)) (expm1 (/ PI b)) (log1p (/ PI b)) (- (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)) (expm1 (/ (- (/ PI a) (/ PI b)) (+ a b))) (log1p (/ (- (/ PI a) (/ PI b)) (+ a b))) (- (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 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(* (sqrt (+ b a)) (/ (- b a) (/ (- (/ (cbrt PI) a) (/ (cbrt PI) b)) 2))) (/ (* 2 (- b a)) (/ (- (/ (cbrt PI) a) (/ (cbrt PI) b)) (+ b a))) (/ (* 2 (- b a)) (/ (- (/ (cbrt PI) a) (/ (cbrt PI) b)) (+ b a))) (* (/ 2 (/ (- (/ (sqrt PI) a) (/ (sqrt PI) b)) (cbrt (+ b a)))) (- b a)) (* (/ 2 (- (/ (sqrt PI) a) (/ (sqrt PI) b))) (* (- b a) (sqrt (+ b a)))) (/ (- b a) (/ (/ (- (/ (sqrt PI) a) (/ (sqrt PI) b)) (+ b a)) 2)) (/ (- b a) (/ (/ (- (/ (sqrt PI) a) (/ (sqrt PI) b)) (+ b a)) 2)) (/ (* (* 2 (- b a)) (cbrt (+ b a))) (- (/ PI a) (/ PI b))) (/ (* (* 2 (- b a)) (sqrt (+ b a))) (- (/ PI a) (/ PI b))) (* (/ 2 (- (/ PI a) (/ PI b))) (* (- b a) (+ b a))) (* (/ 2 (- (/ PI a) (/ PI b))) (* (- b a) (+ b a))) (/ (* (* 2 (- b a)) (cbrt (+ b a))) (- (/ PI a) (/ PI b))) (/ (* (* 2 (- b a)) (sqrt (+ b a))) (- (/ PI a) (/ PI b))) (* (/ 2 (- (/ PI a) (/ PI b))) (* (- b a) (+ b a))) (* (/ 2 (- (/ PI a) (/ PI b))) (* (- b a) (+ b a))) (/ (* (* 2 (- b a)) (cbrt (+ b a))) (- (/ 1 a) (/ 1 b))) (* (/ 2 (- (/ 1 a) (/ 1 b))) (* (- b a) (sqrt (+ b a)))) (* (/ 2 (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (- b a)) (* (/ 2 (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (- b a)) (* (/ 2 (- (/ PI a) (/ PI b))) (* (- b a) (+ b a))) (* 2 (* (- b a) (+ b a))) (* (/ 2 (fma a a (* (- b a) b))) (- b a)) (* (/ 2 (- a b)) (- b a)) (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) 2)) (- (* (* 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 a) (/ PI a) (/ PI a) (/ PI b) (/ PI b) (/ PI b) (/ (/ PI b) a) (- (/ (/ PI b) a)) (- (/ (/ PI b) a)) 0 0 0 9.809 * * * [progress]: adding candidates to table 12.604 * * [progress]: iteration 3 / 4 12.604 * * * [progress]: picking best candidate 12.634 * * * * [pick]: Picked # 12.634 * * * [progress]: localizing error 12.673 * * * [progress]: generating rewritten candidates 12.673 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1) 12.681 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 12.688 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 12.764 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 12.871 * * * [progress]: generating series expansions 12.872 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1) 12.872 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 12.872 * [approximate]: Taking taylor expansion of (/ PI a) in (a) around 0 12.872 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.872 * [taylor]: Taking taylor expansion of PI in a 12.872 * [backup-simplify]: Simplify PI into PI 12.872 * [taylor]: Taking taylor expansion of a in a 12.872 * [backup-simplify]: Simplify 0 into 0 12.872 * [backup-simplify]: Simplify 1 into 1 12.873 * [backup-simplify]: Simplify (/ PI 1) into PI 12.873 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.873 * [taylor]: Taking taylor expansion of PI in a 12.873 * [backup-simplify]: Simplify PI into PI 12.873 * [taylor]: Taking taylor expansion of a in a 12.873 * [backup-simplify]: Simplify 0 into 0 12.873 * [backup-simplify]: Simplify 1 into 1 12.873 * [backup-simplify]: Simplify (/ PI 1) into PI 12.874 * [backup-simplify]: Simplify PI into PI 12.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.874 * [backup-simplify]: Simplify 0 into 0 12.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.875 * [backup-simplify]: Simplify 0 into 0 12.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.876 * [backup-simplify]: Simplify 0 into 0 12.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.878 * [backup-simplify]: Simplify 0 into 0 12.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.879 * [backup-simplify]: Simplify 0 into 0 12.880 * [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 12.880 * [backup-simplify]: Simplify 0 into 0 12.880 * [backup-simplify]: Simplify (* PI (/ 1 a)) into (/ PI a) 12.881 * [backup-simplify]: Simplify (/ PI (/ 1 a)) into (* a PI) 12.881 * [approximate]: Taking taylor expansion of (* a PI) in (a) around 0 12.881 * [taylor]: Taking taylor expansion of (* a PI) in a 12.881 * [taylor]: Taking taylor expansion of a in a 12.881 * [backup-simplify]: Simplify 0 into 0 12.881 * [backup-simplify]: Simplify 1 into 1 12.881 * [taylor]: Taking taylor expansion of PI in a 12.881 * [backup-simplify]: Simplify PI into PI 12.881 * [taylor]: Taking taylor expansion of (* a PI) in a 12.881 * [taylor]: Taking taylor expansion of a in a 12.881 * [backup-simplify]: Simplify 0 into 0 12.881 * [backup-simplify]: Simplify 1 into 1 12.881 * [taylor]: Taking taylor expansion of PI in a 12.881 * [backup-simplify]: Simplify PI into PI 12.881 * [backup-simplify]: Simplify (* 0 PI) into 0 12.882 * [backup-simplify]: Simplify 0 into 0 12.883 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.883 * [backup-simplify]: Simplify PI into PI 12.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.884 * [backup-simplify]: Simplify 0 into 0 12.886 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.886 * [backup-simplify]: Simplify 0 into 0 12.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.887 * [backup-simplify]: Simplify 0 into 0 12.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.889 * [backup-simplify]: Simplify 0 into 0 12.890 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.890 * [backup-simplify]: Simplify 0 into 0 12.892 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 12.892 * [backup-simplify]: Simplify 0 into 0 12.892 * [backup-simplify]: Simplify (* PI (/ 1 a)) into (/ PI a) 12.893 * [backup-simplify]: Simplify (/ PI (/ 1 (- a))) into (* -1 (* a PI)) 12.893 * [approximate]: Taking taylor expansion of (* -1 (* a PI)) in (a) around 0 12.893 * [taylor]: Taking taylor expansion of (* -1 (* a PI)) in a 12.893 * [taylor]: Taking taylor expansion of -1 in a 12.893 * [backup-simplify]: Simplify -1 into -1 12.893 * [taylor]: Taking taylor expansion of (* a PI) in a 12.893 * [taylor]: Taking taylor expansion of a in a 12.893 * [backup-simplify]: Simplify 0 into 0 12.893 * [backup-simplify]: Simplify 1 into 1 12.893 * [taylor]: Taking taylor expansion of PI in a 12.893 * [backup-simplify]: Simplify PI into PI 12.893 * [taylor]: Taking taylor expansion of (* -1 (* a PI)) in a 12.893 * [taylor]: Taking taylor expansion of -1 in a 12.893 * [backup-simplify]: Simplify -1 into -1 12.893 * [taylor]: Taking taylor expansion of (* a PI) in a 12.893 * [taylor]: Taking taylor expansion of a in a 12.893 * [backup-simplify]: Simplify 0 into 0 12.893 * [backup-simplify]: Simplify 1 into 1 12.893 * [taylor]: Taking taylor expansion of PI in a 12.893 * [backup-simplify]: Simplify PI into PI 12.894 * [backup-simplify]: Simplify (* 0 PI) into 0 12.894 * [backup-simplify]: Simplify (* -1 0) into 0 12.894 * [backup-simplify]: Simplify 0 into 0 12.896 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.897 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 12.898 * [backup-simplify]: Simplify (- PI) into (- PI) 12.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.900 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 12.900 * [backup-simplify]: Simplify 0 into 0 12.901 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.902 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.902 * [backup-simplify]: Simplify 0 into 0 12.904 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.905 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 12.905 * [backup-simplify]: Simplify 0 into 0 12.907 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.908 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 12.908 * [backup-simplify]: Simplify 0 into 0 12.910 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.912 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 12.912 * [backup-simplify]: Simplify 0 into 0 12.914 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 12.917 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 12.917 * [backup-simplify]: Simplify 0 into 0 12.917 * [backup-simplify]: Simplify (* (- PI) (/ 1 (- a))) into (/ PI a) 12.917 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 12.917 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 12.917 * [approximate]: Taking taylor expansion of (/ PI b) in (b) around 0 12.918 * [taylor]: Taking taylor expansion of (/ PI b) in b 12.918 * [taylor]: Taking taylor expansion of PI in b 12.918 * [backup-simplify]: Simplify PI into PI 12.918 * [taylor]: Taking taylor expansion of b in b 12.918 * [backup-simplify]: Simplify 0 into 0 12.918 * [backup-simplify]: Simplify 1 into 1 12.918 * [backup-simplify]: Simplify (/ PI 1) into PI 12.918 * [taylor]: Taking taylor expansion of (/ PI b) in b 12.918 * [taylor]: Taking taylor expansion of PI in b 12.918 * [backup-simplify]: Simplify PI into PI 12.919 * [taylor]: Taking taylor expansion of b in b 12.919 * [backup-simplify]: Simplify 0 into 0 12.919 * [backup-simplify]: Simplify 1 into 1 12.919 * [backup-simplify]: Simplify (/ PI 1) into PI 12.919 * [backup-simplify]: Simplify PI into PI 12.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.920 * [backup-simplify]: Simplify 0 into 0 12.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.921 * [backup-simplify]: Simplify 0 into 0 12.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.923 * [backup-simplify]: Simplify 0 into 0 12.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.924 * [backup-simplify]: Simplify 0 into 0 12.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.925 * [backup-simplify]: Simplify 0 into 0 12.926 * [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 12.926 * [backup-simplify]: Simplify 0 into 0 12.926 * [backup-simplify]: Simplify (* PI (/ 1 b)) into (/ PI b) 12.926 * [backup-simplify]: Simplify (/ PI (/ 1 b)) into (* b PI) 12.926 * [approximate]: Taking taylor expansion of (* b PI) in (b) around 0 12.926 * [taylor]: Taking taylor expansion of (* b PI) in b 12.926 * [taylor]: Taking taylor expansion of b in b 12.926 * [backup-simplify]: Simplify 0 into 0 12.926 * [backup-simplify]: Simplify 1 into 1 12.926 * [taylor]: Taking taylor expansion of PI in b 12.926 * [backup-simplify]: Simplify PI into PI 12.926 * [taylor]: Taking taylor expansion of (* b PI) in b 12.926 * [taylor]: Taking taylor expansion of b in b 12.927 * [backup-simplify]: Simplify 0 into 0 12.927 * [backup-simplify]: Simplify 1 into 1 12.927 * [taylor]: Taking taylor expansion of PI in b 12.927 * [backup-simplify]: Simplify PI into PI 12.927 * [backup-simplify]: Simplify (* 0 PI) into 0 12.927 * [backup-simplify]: Simplify 0 into 0 12.929 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.929 * [backup-simplify]: Simplify PI into PI 12.930 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.930 * [backup-simplify]: Simplify 0 into 0 12.931 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.931 * [backup-simplify]: Simplify 0 into 0 12.933 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.933 * [backup-simplify]: Simplify 0 into 0 12.934 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.934 * [backup-simplify]: Simplify 0 into 0 12.936 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.936 * [backup-simplify]: Simplify 0 into 0 12.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 12.938 * [backup-simplify]: Simplify 0 into 0 12.938 * [backup-simplify]: Simplify (* PI (/ 1 b)) into (/ PI b) 12.938 * [backup-simplify]: Simplify (/ PI (/ 1 (- b))) into (* -1 (* b PI)) 12.938 * [approximate]: Taking taylor expansion of (* -1 (* b PI)) in (b) around 0 12.938 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 12.938 * [taylor]: Taking taylor expansion of -1 in b 12.938 * [backup-simplify]: Simplify -1 into -1 12.938 * [taylor]: Taking taylor expansion of (* b PI) in b 12.938 * [taylor]: Taking taylor expansion of b in b 12.938 * [backup-simplify]: Simplify 0 into 0 12.938 * [backup-simplify]: Simplify 1 into 1 12.938 * [taylor]: Taking taylor expansion of PI in b 12.939 * [backup-simplify]: Simplify PI into PI 12.939 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 12.939 * [taylor]: Taking taylor expansion of -1 in b 12.939 * [backup-simplify]: Simplify -1 into -1 12.939 * [taylor]: Taking taylor expansion of (* b PI) in b 12.939 * [taylor]: Taking taylor expansion of b in b 12.939 * [backup-simplify]: Simplify 0 into 0 12.939 * [backup-simplify]: Simplify 1 into 1 12.939 * [taylor]: Taking taylor expansion of PI in b 12.939 * [backup-simplify]: Simplify PI into PI 12.939 * [backup-simplify]: Simplify (* 0 PI) into 0 12.940 * [backup-simplify]: Simplify (* -1 0) into 0 12.940 * [backup-simplify]: Simplify 0 into 0 12.941 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.943 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 12.943 * [backup-simplify]: Simplify (- PI) into (- PI) 12.944 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.945 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 12.945 * [backup-simplify]: Simplify 0 into 0 12.947 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.948 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.948 * [backup-simplify]: Simplify 0 into 0 12.949 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.950 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 12.951 * [backup-simplify]: Simplify 0 into 0 12.952 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 12.954 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 12.954 * [backup-simplify]: Simplify 0 into 0 12.956 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 12.957 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 12.957 * [backup-simplify]: Simplify 0 into 0 12.959 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 12.961 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 12.961 * [backup-simplify]: Simplify 0 into 0 12.962 * [backup-simplify]: Simplify (* (- PI) (/ 1 (- b))) into (/ PI b) 12.962 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 12.962 * [backup-simplify]: Simplify (/ (- (/ PI a) (/ PI b)) (+ a b)) into (/ (- (/ PI a) (/ PI b)) (+ a b)) 12.962 * [approximate]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ a b)) in (a b) around 0 12.962 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ a b)) in b 12.962 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b 12.962 * [taylor]: Taking taylor expansion of (/ PI a) in b 12.962 * [taylor]: Taking taylor expansion of PI in b 12.962 * [backup-simplify]: Simplify PI into PI 12.962 * [taylor]: Taking taylor expansion of a in b 12.962 * [backup-simplify]: Simplify a into a 12.962 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 12.962 * [taylor]: Taking taylor expansion of (/ PI b) in b 12.962 * [taylor]: Taking taylor expansion of PI in b 12.963 * [backup-simplify]: Simplify PI into PI 12.963 * [taylor]: Taking taylor expansion of b in b 12.963 * [backup-simplify]: Simplify 0 into 0 12.963 * [backup-simplify]: Simplify 1 into 1 12.963 * [backup-simplify]: Simplify (/ PI 1) into PI 12.963 * [taylor]: Taking taylor expansion of (+ a b) in b 12.963 * [taylor]: Taking taylor expansion of a in b 12.963 * [backup-simplify]: Simplify a into a 12.963 * [taylor]: Taking taylor expansion of b in b 12.963 * [backup-simplify]: Simplify 0 into 0 12.963 * [backup-simplify]: Simplify 1 into 1 12.964 * [backup-simplify]: Simplify (- PI) into (- PI) 12.965 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 12.965 * [backup-simplify]: Simplify (+ a 0) into a 12.965 * [backup-simplify]: Simplify (/ (- PI) a) into (* -1 (/ PI a)) 12.965 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ a b)) in a 12.965 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 12.965 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.965 * [taylor]: Taking taylor expansion of PI in a 12.965 * [backup-simplify]: Simplify PI into PI 12.965 * [taylor]: Taking taylor expansion of a in a 12.965 * [backup-simplify]: Simplify 0 into 0 12.965 * [backup-simplify]: Simplify 1 into 1 12.966 * [backup-simplify]: Simplify (/ PI 1) into PI 12.966 * [taylor]: Taking taylor expansion of (/ PI b) in a 12.966 * [taylor]: Taking taylor expansion of PI in a 12.966 * [backup-simplify]: Simplify PI into PI 12.966 * [taylor]: Taking taylor expansion of b in a 12.966 * [backup-simplify]: Simplify b into b 12.966 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 12.966 * [taylor]: Taking taylor expansion of (+ a b) in a 12.966 * [taylor]: Taking taylor expansion of a in a 12.966 * [backup-simplify]: Simplify 0 into 0 12.966 * [backup-simplify]: Simplify 1 into 1 12.966 * [taylor]: Taking taylor expansion of b in a 12.966 * [backup-simplify]: Simplify b into b 12.967 * [backup-simplify]: Simplify (+ PI 0) into PI 12.967 * [backup-simplify]: Simplify (+ 0 b) into b 12.967 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 12.967 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (+ a b)) in a 12.967 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 12.967 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.967 * [taylor]: Taking taylor expansion of PI in a 12.967 * [backup-simplify]: Simplify PI into PI 12.967 * [taylor]: Taking taylor expansion of a in a 12.967 * [backup-simplify]: Simplify 0 into 0 12.967 * [backup-simplify]: Simplify 1 into 1 12.967 * [backup-simplify]: Simplify (/ PI 1) into PI 12.967 * [taylor]: Taking taylor expansion of (/ PI b) in a 12.967 * [taylor]: Taking taylor expansion of PI in a 12.967 * [backup-simplify]: Simplify PI into PI 12.967 * [taylor]: Taking taylor expansion of b in a 12.968 * [backup-simplify]: Simplify b into b 12.968 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 12.968 * [taylor]: Taking taylor expansion of (+ a b) in a 12.968 * [taylor]: Taking taylor expansion of a in a 12.968 * [backup-simplify]: Simplify 0 into 0 12.968 * [backup-simplify]: Simplify 1 into 1 12.968 * [taylor]: Taking taylor expansion of b in a 12.968 * [backup-simplify]: Simplify b into b 12.968 * [backup-simplify]: Simplify (+ PI 0) into PI 12.968 * [backup-simplify]: Simplify (+ 0 b) into b 12.968 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 12.968 * [taylor]: Taking taylor expansion of (/ PI b) in b 12.968 * [taylor]: Taking taylor expansion of PI in b 12.968 * [backup-simplify]: Simplify PI into PI 12.969 * [taylor]: Taking taylor expansion of b in b 12.969 * [backup-simplify]: Simplify 0 into 0 12.969 * [backup-simplify]: Simplify 1 into 1 12.969 * [backup-simplify]: Simplify (/ PI 1) into PI 12.969 * [backup-simplify]: Simplify PI into PI 12.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.970 * [backup-simplify]: Simplify (- (/ PI b)) into (- (/ PI b)) 12.970 * [backup-simplify]: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) 12.971 * [backup-simplify]: Simplify (+ 1 0) into 1 12.971 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) b) (+ (* (/ PI b) (/ 1 b)))) into (- (* 2 (/ PI (pow b 2)))) 12.971 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow b 2)))) in b 12.971 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 12.971 * [taylor]: Taking taylor expansion of 2 in b 12.971 * [backup-simplify]: Simplify 2 into 2 12.971 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 12.971 * [taylor]: Taking taylor expansion of PI in b 12.971 * [backup-simplify]: Simplify PI into PI 12.971 * [taylor]: Taking taylor expansion of (pow b 2) in b 12.971 * [taylor]: Taking taylor expansion of b in b 12.971 * [backup-simplify]: Simplify 0 into 0 12.971 * [backup-simplify]: Simplify 1 into 1 12.972 * [backup-simplify]: Simplify (* 1 1) into 1 12.972 * [backup-simplify]: Simplify (/ PI 1) into PI 12.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.975 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 12.975 * [backup-simplify]: Simplify (- 0) into 0 12.975 * [backup-simplify]: Simplify 0 into 0 12.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.976 * [backup-simplify]: Simplify 0 into 0 12.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.977 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 12.977 * [backup-simplify]: Simplify (- 0) into 0 12.978 * [backup-simplify]: Simplify (+ 0 0) into 0 12.979 * [backup-simplify]: Simplify (+ 0 0) into 0 12.979 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (* 2 (/ PI (pow b 2)))) (/ 1 b)))) into (* 2 (/ PI (pow b 3))) 12.979 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 3))) in b 12.979 * [taylor]: Taking taylor expansion of 2 in b 12.979 * [backup-simplify]: Simplify 2 into 2 12.979 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 12.979 * [taylor]: Taking taylor expansion of PI in b 12.979 * [backup-simplify]: Simplify PI into PI 12.979 * [taylor]: Taking taylor expansion of (pow b 3) in b 12.979 * [taylor]: Taking taylor expansion of b in b 12.979 * [backup-simplify]: Simplify 0 into 0 12.979 * [backup-simplify]: Simplify 1 into 1 12.980 * [backup-simplify]: Simplify (* 1 1) into 1 12.980 * [backup-simplify]: Simplify (* 1 1) into 1 12.981 * [backup-simplify]: Simplify (/ PI 1) into PI 12.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.988 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 12.988 * [backup-simplify]: Simplify 0 into 0 12.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.991 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 12.991 * [backup-simplify]: Simplify (- 0) into 0 12.991 * [backup-simplify]: Simplify 0 into 0 12.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.992 * [backup-simplify]: Simplify 0 into 0 12.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.994 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 12.994 * [backup-simplify]: Simplify (- 0) into 0 12.994 * [backup-simplify]: Simplify (+ 0 0) into 0 12.995 * [backup-simplify]: Simplify (+ 0 0) into 0 12.995 * [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)))) 12.995 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow b 4)))) in b 12.995 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 4))) in b 12.995 * [taylor]: Taking taylor expansion of 2 in b 12.995 * [backup-simplify]: Simplify 2 into 2 12.995 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 12.996 * [taylor]: Taking taylor expansion of PI in b 12.996 * [backup-simplify]: Simplify PI into PI 12.996 * [taylor]: Taking taylor expansion of (pow b 4) in b 12.996 * [taylor]: Taking taylor expansion of b in b 12.996 * [backup-simplify]: Simplify 0 into 0 12.996 * [backup-simplify]: Simplify 1 into 1 12.996 * [backup-simplify]: Simplify (* 1 1) into 1 12.996 * [backup-simplify]: Simplify (* 1 1) into 1 12.997 * [backup-simplify]: Simplify (/ PI 1) into PI 12.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.006 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.007 * [backup-simplify]: Simplify (- 0) into 0 13.007 * [backup-simplify]: Simplify 0 into 0 13.007 * [backup-simplify]: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) 13.007 * [backup-simplify]: Simplify (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (+ (/ 1 a) (/ 1 b))) into (/ (- (* a PI) (* PI b)) (+ (/ 1 a) (/ 1 b))) 13.007 * [approximate]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 13.007 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (+ (/ 1 a) (/ 1 b))) in b 13.007 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in b 13.007 * [taylor]: Taking taylor expansion of (* a PI) in b 13.007 * [taylor]: Taking taylor expansion of a in b 13.007 * [backup-simplify]: Simplify a into a 13.008 * [taylor]: Taking taylor expansion of PI in b 13.008 * [backup-simplify]: Simplify PI into PI 13.008 * [taylor]: Taking taylor expansion of (* PI b) in b 13.008 * [taylor]: Taking taylor expansion of PI in b 13.008 * [backup-simplify]: Simplify PI into PI 13.008 * [taylor]: Taking taylor expansion of b in b 13.008 * [backup-simplify]: Simplify 0 into 0 13.008 * [backup-simplify]: Simplify 1 into 1 13.008 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 13.008 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.008 * [taylor]: Taking taylor expansion of a in b 13.008 * [backup-simplify]: Simplify a into a 13.008 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.008 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.008 * [taylor]: Taking taylor expansion of b in b 13.008 * [backup-simplify]: Simplify 0 into 0 13.008 * [backup-simplify]: Simplify 1 into 1 13.008 * [backup-simplify]: Simplify (/ 1 1) into 1 13.008 * [backup-simplify]: Simplify (* a PI) into (* a PI) 13.009 * [backup-simplify]: Simplify (* PI 0) into 0 13.009 * [backup-simplify]: Simplify (- 0) into 0 13.009 * [backup-simplify]: Simplify (+ (* a PI) 0) into (* a PI) 13.010 * [backup-simplify]: Simplify (+ 0 1) into 1 13.010 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 13.010 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (+ (/ 1 a) (/ 1 b))) in a 13.010 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 13.010 * [taylor]: Taking taylor expansion of (* a PI) in a 13.010 * [taylor]: Taking taylor expansion of a in a 13.010 * [backup-simplify]: Simplify 0 into 0 13.010 * [backup-simplify]: Simplify 1 into 1 13.010 * [taylor]: Taking taylor expansion of PI in a 13.010 * [backup-simplify]: Simplify PI into PI 13.010 * [taylor]: Taking taylor expansion of (* PI b) in a 13.010 * [taylor]: Taking taylor expansion of PI in a 13.010 * [backup-simplify]: Simplify PI into PI 13.010 * [taylor]: Taking taylor expansion of b in a 13.010 * [backup-simplify]: Simplify b into b 13.010 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 13.010 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.010 * [taylor]: Taking taylor expansion of a in a 13.010 * [backup-simplify]: Simplify 0 into 0 13.010 * [backup-simplify]: Simplify 1 into 1 13.011 * [backup-simplify]: Simplify (/ 1 1) into 1 13.011 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.011 * [taylor]: Taking taylor expansion of b in a 13.011 * [backup-simplify]: Simplify b into b 13.011 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.019 * [backup-simplify]: Simplify (* 0 PI) into 0 13.019 * [backup-simplify]: Simplify (* PI b) into (* b PI) 13.019 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 13.020 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 13.020 * [backup-simplify]: Simplify (+ 1 0) into 1 13.020 * [backup-simplify]: Simplify (/ (- (* PI b)) 1) into (* -1 (* b PI)) 13.020 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (+ (/ 1 a) (/ 1 b))) in a 13.020 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 13.020 * [taylor]: Taking taylor expansion of (* a PI) in a 13.021 * [taylor]: Taking taylor expansion of a in a 13.021 * [backup-simplify]: Simplify 0 into 0 13.021 * [backup-simplify]: Simplify 1 into 1 13.021 * [taylor]: Taking taylor expansion of PI in a 13.021 * [backup-simplify]: Simplify PI into PI 13.021 * [taylor]: Taking taylor expansion of (* PI b) in a 13.021 * [taylor]: Taking taylor expansion of PI in a 13.021 * [backup-simplify]: Simplify PI into PI 13.021 * [taylor]: Taking taylor expansion of b in a 13.021 * [backup-simplify]: Simplify b into b 13.021 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 13.021 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.021 * [taylor]: Taking taylor expansion of a in a 13.021 * [backup-simplify]: Simplify 0 into 0 13.021 * [backup-simplify]: Simplify 1 into 1 13.021 * [backup-simplify]: Simplify (/ 1 1) into 1 13.021 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.021 * [taylor]: Taking taylor expansion of b in a 13.021 * [backup-simplify]: Simplify b into b 13.021 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.022 * [backup-simplify]: Simplify (* 0 PI) into 0 13.022 * [backup-simplify]: Simplify (* PI b) into (* b PI) 13.022 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 13.022 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 13.023 * [backup-simplify]: Simplify (+ 1 0) into 1 13.023 * [backup-simplify]: Simplify (/ (- (* PI b)) 1) into (* -1 (* b PI)) 13.023 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 13.023 * [taylor]: Taking taylor expansion of -1 in b 13.023 * [backup-simplify]: Simplify -1 into -1 13.023 * [taylor]: Taking taylor expansion of (* b PI) in b 13.023 * [taylor]: Taking taylor expansion of b in b 13.023 * [backup-simplify]: Simplify 0 into 0 13.023 * [backup-simplify]: Simplify 1 into 1 13.023 * [taylor]: Taking taylor expansion of PI in b 13.023 * [backup-simplify]: Simplify PI into PI 13.025 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.025 * [backup-simplify]: Simplify (* 0 PI) into 0 13.027 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 13.027 * [backup-simplify]: Simplify (- PI) into (- PI) 13.029 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.030 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 13.030 * [backup-simplify]: Simplify (- 0) into 0 13.031 * [backup-simplify]: Simplify (+ PI 0) into PI 13.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.031 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 13.032 * [backup-simplify]: Simplify (- (/ PI 1) (+ (* (* -1 (* b PI)) (/ (/ 1 b) 1)))) into (* 2 PI) 13.032 * [taylor]: Taking taylor expansion of (* 2 PI) in b 13.032 * [taylor]: Taking taylor expansion of 2 in b 13.032 * [backup-simplify]: Simplify 2 into 2 13.032 * [taylor]: Taking taylor expansion of PI in b 13.032 * [backup-simplify]: Simplify PI into PI 13.033 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 13.033 * [backup-simplify]: Simplify 0 into 0 13.034 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 13.035 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 13.035 * [backup-simplify]: Simplify 0 into 0 13.036 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 13.036 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 13.037 * [backup-simplify]: Simplify (- 0) into 0 13.037 * [backup-simplify]: Simplify (+ 0 0) into 0 13.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 13.038 * [backup-simplify]: Simplify (+ 0 0) into 0 13.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* b PI)) (/ 0 1)) (* (* 2 PI) (/ (/ 1 b) 1)))) into (- (* 2 (/ PI b))) 13.040 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI b))) in b 13.040 * [taylor]: Taking taylor expansion of (* 2 (/ PI b)) in b 13.040 * [taylor]: Taking taylor expansion of 2 in b 13.040 * [backup-simplify]: Simplify 2 into 2 13.040 * [taylor]: Taking taylor expansion of (/ PI b) in b 13.040 * [taylor]: Taking taylor expansion of PI in b 13.040 * [backup-simplify]: Simplify PI into PI 13.040 * [taylor]: Taking taylor expansion of b in b 13.040 * [backup-simplify]: Simplify 0 into 0 13.040 * [backup-simplify]: Simplify 1 into 1 13.040 * [backup-simplify]: Simplify (/ PI 1) into PI 13.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.043 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 13.043 * [backup-simplify]: Simplify (- 0) into 0 13.043 * [backup-simplify]: Simplify 0 into 0 13.044 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 13.044 * [backup-simplify]: Simplify 0 into 0 13.045 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 13.047 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 13.047 * [backup-simplify]: Simplify 0 into 0 13.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 13.049 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 13.049 * [backup-simplify]: Simplify (- 0) into 0 13.050 * [backup-simplify]: Simplify (+ 0 0) into 0 13.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 13.051 * [backup-simplify]: Simplify (+ 0 0) into 0 13.053 * [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))) 13.053 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 13.053 * [taylor]: Taking taylor expansion of 2 in b 13.053 * [backup-simplify]: Simplify 2 into 2 13.053 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 13.053 * [taylor]: Taking taylor expansion of PI in b 13.053 * [backup-simplify]: Simplify PI into PI 13.053 * [taylor]: Taking taylor expansion of (pow b 2) in b 13.053 * [taylor]: Taking taylor expansion of b in b 13.053 * [backup-simplify]: Simplify 0 into 0 13.053 * [backup-simplify]: Simplify 1 into 1 13.054 * [backup-simplify]: Simplify (* 1 1) into 1 13.054 * [backup-simplify]: Simplify (/ PI 1) into PI 13.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.060 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.060 * [backup-simplify]: Simplify 0 into 0 13.060 * [backup-simplify]: Simplify (* (- PI) (* (/ 1 b) (/ 1 a))) into (* -1 (/ PI (* a b))) 13.060 * [backup-simplify]: Simplify (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b)))) 13.060 * [approximate]: Taking taylor expansion of (* -1 (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 13.061 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b)))) in b 13.061 * [taylor]: Taking taylor expansion of -1 in b 13.061 * [backup-simplify]: Simplify -1 into -1 13.061 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b))) in b 13.061 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in b 13.061 * [taylor]: Taking taylor expansion of (* b PI) in b 13.061 * [taylor]: Taking taylor expansion of b in b 13.061 * [backup-simplify]: Simplify 0 into 0 13.061 * [backup-simplify]: Simplify 1 into 1 13.061 * [taylor]: Taking taylor expansion of PI in b 13.061 * [backup-simplify]: Simplify PI into PI 13.061 * [taylor]: Taking taylor expansion of (* a PI) in b 13.061 * [taylor]: Taking taylor expansion of a in b 13.061 * [backup-simplify]: Simplify a into a 13.061 * [taylor]: Taking taylor expansion of PI in b 13.061 * [backup-simplify]: Simplify PI into PI 13.061 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 13.061 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.061 * [taylor]: Taking taylor expansion of a in b 13.061 * [backup-simplify]: Simplify a into a 13.061 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.061 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.061 * [taylor]: Taking taylor expansion of b in b 13.061 * [backup-simplify]: Simplify 0 into 0 13.061 * [backup-simplify]: Simplify 1 into 1 13.061 * [backup-simplify]: Simplify (/ 1 1) into 1 13.061 * [backup-simplify]: Simplify (* 0 PI) into 0 13.062 * [backup-simplify]: Simplify (* a PI) into (* a PI) 13.062 * [backup-simplify]: Simplify (- (* a PI)) into (- (* a PI)) 13.062 * [backup-simplify]: Simplify (+ 0 (- (* a PI))) into (- (* a PI)) 13.062 * [backup-simplify]: Simplify (+ 0 1) into 1 13.062 * [backup-simplify]: Simplify (/ (- (* a PI)) 1) into (* -1 (* a PI)) 13.062 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b)))) in a 13.062 * [taylor]: Taking taylor expansion of -1 in a 13.062 * [backup-simplify]: Simplify -1 into -1 13.062 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b))) in a 13.062 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 13.062 * [taylor]: Taking taylor expansion of (* b PI) in a 13.062 * [taylor]: Taking taylor expansion of b in a 13.062 * [backup-simplify]: Simplify b into b 13.062 * [taylor]: Taking taylor expansion of PI in a 13.062 * [backup-simplify]: Simplify PI into PI 13.062 * [taylor]: Taking taylor expansion of (* a PI) in a 13.062 * [taylor]: Taking taylor expansion of a in a 13.062 * [backup-simplify]: Simplify 0 into 0 13.062 * [backup-simplify]: Simplify 1 into 1 13.062 * [taylor]: Taking taylor expansion of PI in a 13.062 * [backup-simplify]: Simplify PI into PI 13.062 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 13.062 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.062 * [taylor]: Taking taylor expansion of a in a 13.062 * [backup-simplify]: Simplify 0 into 0 13.062 * [backup-simplify]: Simplify 1 into 1 13.063 * [backup-simplify]: Simplify (/ 1 1) into 1 13.063 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.063 * [taylor]: Taking taylor expansion of b in a 13.063 * [backup-simplify]: Simplify b into b 13.063 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.063 * [backup-simplify]: Simplify (* b PI) into (* PI b) 13.063 * [backup-simplify]: Simplify (* 0 PI) into 0 13.063 * [backup-simplify]: Simplify (- 0) into 0 13.063 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 13.064 * [backup-simplify]: Simplify (+ 1 0) into 1 13.064 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 13.064 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b)))) in a 13.064 * [taylor]: Taking taylor expansion of -1 in a 13.064 * [backup-simplify]: Simplify -1 into -1 13.064 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (+ (/ 1 a) (/ 1 b))) in a 13.064 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 13.064 * [taylor]: Taking taylor expansion of (* b PI) in a 13.064 * [taylor]: Taking taylor expansion of b in a 13.064 * [backup-simplify]: Simplify b into b 13.064 * [taylor]: Taking taylor expansion of PI in a 13.064 * [backup-simplify]: Simplify PI into PI 13.064 * [taylor]: Taking taylor expansion of (* a PI) in a 13.064 * [taylor]: Taking taylor expansion of a in a 13.064 * [backup-simplify]: Simplify 0 into 0 13.064 * [backup-simplify]: Simplify 1 into 1 13.064 * [taylor]: Taking taylor expansion of PI in a 13.064 * [backup-simplify]: Simplify PI into PI 13.064 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 13.064 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.064 * [taylor]: Taking taylor expansion of a in a 13.064 * [backup-simplify]: Simplify 0 into 0 13.064 * [backup-simplify]: Simplify 1 into 1 13.064 * [backup-simplify]: Simplify (/ 1 1) into 1 13.064 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.064 * [taylor]: Taking taylor expansion of b in a 13.064 * [backup-simplify]: Simplify b into b 13.064 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.064 * [backup-simplify]: Simplify (* b PI) into (* PI b) 13.065 * [backup-simplify]: Simplify (* 0 PI) into 0 13.065 * [backup-simplify]: Simplify (- 0) into 0 13.065 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 13.065 * [backup-simplify]: Simplify (+ 1 0) into 1 13.065 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 13.065 * [backup-simplify]: Simplify (* -1 (* PI b)) into (* -1 (* PI b)) 13.065 * [taylor]: Taking taylor expansion of (* -1 (* PI b)) in b 13.065 * [taylor]: Taking taylor expansion of -1 in b 13.065 * [backup-simplify]: Simplify -1 into -1 13.065 * [taylor]: Taking taylor expansion of (* PI b) in b 13.065 * [taylor]: Taking taylor expansion of PI in b 13.065 * [backup-simplify]: Simplify PI into PI 13.065 * [taylor]: Taking taylor expansion of b in b 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [backup-simplify]: Simplify 1 into 1 13.066 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 13.067 * [backup-simplify]: Simplify (* PI 0) into 0 13.067 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 13.068 * [backup-simplify]: Simplify (- PI) into (- PI) 13.068 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 13.069 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.069 * [backup-simplify]: Simplify (- PI) into (- PI) 13.070 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 13.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.070 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 13.071 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- (* 2 PI)) 13.072 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 PI))) (* 0 (* PI b))) into (* 2 PI) 13.072 * [taylor]: Taking taylor expansion of (* 2 PI) in b 13.072 * [taylor]: Taking taylor expansion of 2 in b 13.072 * [backup-simplify]: Simplify 2 into 2 13.072 * [taylor]: Taking taylor expansion of PI in b 13.072 * [backup-simplify]: Simplify PI into PI 13.072 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 13.072 * [backup-simplify]: Simplify 0 into 0 13.073 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 13.074 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 13.074 * [backup-simplify]: Simplify 0 into 0 13.074 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 13.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 13.075 * [backup-simplify]: Simplify (- 0) into 0 13.075 * [backup-simplify]: Simplify (+ 0 0) into 0 13.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 13.076 * [backup-simplify]: Simplify (+ 0 0) into 0 13.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- (* 2 PI)) (/ (/ 1 b) 1)))) into (* 2 (/ PI b)) 13.078 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ PI b))) (+ (* 0 (- (* 2 PI))) (* 0 (* PI b)))) into (- (* 2 (/ PI b))) 13.078 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI b))) in b 13.078 * [taylor]: Taking taylor expansion of (* 2 (/ PI b)) in b 13.078 * [taylor]: Taking taylor expansion of 2 in b 13.078 * [backup-simplify]: Simplify 2 into 2 13.078 * [taylor]: Taking taylor expansion of (/ PI b) in b 13.078 * [taylor]: Taking taylor expansion of PI in b 13.078 * [backup-simplify]: Simplify PI into PI 13.078 * [taylor]: Taking taylor expansion of b in b 13.078 * [backup-simplify]: Simplify 0 into 0 13.078 * [backup-simplify]: Simplify 1 into 1 13.078 * [backup-simplify]: Simplify (/ PI 1) into PI 13.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.080 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 13.080 * [backup-simplify]: Simplify (- 0) into 0 13.080 * [backup-simplify]: Simplify 0 into 0 13.081 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 13.081 * [backup-simplify]: Simplify 0 into 0 13.082 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.082 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 13.082 * [backup-simplify]: Simplify 0 into 0 13.083 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.084 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 13.084 * [backup-simplify]: Simplify (- 0) into 0 13.084 * [backup-simplify]: Simplify (+ 0 0) into 0 13.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 13.085 * [backup-simplify]: Simplify (+ 0 0) into 0 13.086 * [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)))) 13.087 * [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))) 13.087 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 13.087 * [taylor]: Taking taylor expansion of 2 in b 13.087 * [backup-simplify]: Simplify 2 into 2 13.087 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 13.087 * [taylor]: Taking taylor expansion of PI in b 13.087 * [backup-simplify]: Simplify PI into PI 13.087 * [taylor]: Taking taylor expansion of (pow b 2) in b 13.087 * [taylor]: Taking taylor expansion of b in b 13.087 * [backup-simplify]: Simplify 0 into 0 13.087 * [backup-simplify]: Simplify 1 into 1 13.087 * [backup-simplify]: Simplify (* 1 1) into 1 13.087 * [backup-simplify]: Simplify (/ PI 1) into PI 13.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.092 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.092 * [backup-simplify]: Simplify 0 into 0 13.093 * [backup-simplify]: Simplify (* (- PI) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1 (/ PI (* a b))) 13.093 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 13.093 * [backup-simplify]: Simplify (/ (/ (- (/ PI a) (/ PI b)) (+ a b)) (- b a)) into (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) 13.093 * [approximate]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in (a b) around 0 13.093 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in b 13.093 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in b 13.093 * [taylor]: Taking taylor expansion of (/ PI a) in b 13.093 * [taylor]: Taking taylor expansion of PI in b 13.093 * [backup-simplify]: Simplify PI into PI 13.093 * [taylor]: Taking taylor expansion of a in b 13.093 * [backup-simplify]: Simplify a into a 13.093 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 13.093 * [taylor]: Taking taylor expansion of (/ PI b) in b 13.093 * [taylor]: Taking taylor expansion of PI in b 13.093 * [backup-simplify]: Simplify PI into PI 13.093 * [taylor]: Taking taylor expansion of b in b 13.093 * [backup-simplify]: Simplify 0 into 0 13.093 * [backup-simplify]: Simplify 1 into 1 13.094 * [backup-simplify]: Simplify (/ PI 1) into PI 13.094 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 13.094 * [taylor]: Taking taylor expansion of (- b a) in b 13.094 * [taylor]: Taking taylor expansion of b in b 13.094 * [backup-simplify]: Simplify 0 into 0 13.094 * [backup-simplify]: Simplify 1 into 1 13.094 * [taylor]: Taking taylor expansion of a in b 13.094 * [backup-simplify]: Simplify a into a 13.094 * [taylor]: Taking taylor expansion of (+ a b) in b 13.094 * [taylor]: Taking taylor expansion of a in b 13.094 * [backup-simplify]: Simplify a into a 13.094 * [taylor]: Taking taylor expansion of b in b 13.094 * [backup-simplify]: Simplify 0 into 0 13.094 * [backup-simplify]: Simplify 1 into 1 13.094 * [backup-simplify]: Simplify (- PI) into (- PI) 13.095 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 13.095 * [backup-simplify]: Simplify (- a) into (- a) 13.095 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 13.095 * [backup-simplify]: Simplify (+ a 0) into a 13.095 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 13.095 * [backup-simplify]: Simplify (/ (- PI) (* -1 (pow a 2))) into (/ PI (pow a 2)) 13.095 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in a 13.095 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 13.095 * [taylor]: Taking taylor expansion of (/ PI a) in a 13.095 * [taylor]: Taking taylor expansion of PI in a 13.095 * [backup-simplify]: Simplify PI into PI 13.095 * [taylor]: Taking taylor expansion of a in a 13.095 * [backup-simplify]: Simplify 0 into 0 13.095 * [backup-simplify]: Simplify 1 into 1 13.095 * [backup-simplify]: Simplify (/ PI 1) into PI 13.095 * [taylor]: Taking taylor expansion of (/ PI b) in a 13.095 * [taylor]: Taking taylor expansion of PI in a 13.095 * [backup-simplify]: Simplify PI into PI 13.096 * [taylor]: Taking taylor expansion of b in a 13.096 * [backup-simplify]: Simplify b into b 13.096 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 13.096 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 13.096 * [taylor]: Taking taylor expansion of (- b a) in a 13.096 * [taylor]: Taking taylor expansion of b in a 13.096 * [backup-simplify]: Simplify b into b 13.096 * [taylor]: Taking taylor expansion of a in a 13.096 * [backup-simplify]: Simplify 0 into 0 13.096 * [backup-simplify]: Simplify 1 into 1 13.096 * [taylor]: Taking taylor expansion of (+ a b) in a 13.096 * [taylor]: Taking taylor expansion of a in a 13.096 * [backup-simplify]: Simplify 0 into 0 13.096 * [backup-simplify]: Simplify 1 into 1 13.096 * [taylor]: Taking taylor expansion of b in a 13.096 * [backup-simplify]: Simplify b into b 13.096 * [backup-simplify]: Simplify (+ PI 0) into PI 13.096 * [backup-simplify]: Simplify (- 0) into 0 13.096 * [backup-simplify]: Simplify (+ b 0) into b 13.096 * [backup-simplify]: Simplify (+ 0 b) into b 13.096 * [backup-simplify]: Simplify (* b b) into (pow b 2) 13.096 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 13.096 * [taylor]: Taking taylor expansion of (/ (- (/ PI a) (/ PI b)) (* (- b a) (+ a b))) in a 13.096 * [taylor]: Taking taylor expansion of (- (/ PI a) (/ PI b)) in a 13.097 * [taylor]: Taking taylor expansion of (/ PI a) in a 13.097 * [taylor]: Taking taylor expansion of PI in a 13.097 * [backup-simplify]: Simplify PI into PI 13.097 * [taylor]: Taking taylor expansion of a in a 13.097 * [backup-simplify]: Simplify 0 into 0 13.097 * [backup-simplify]: Simplify 1 into 1 13.097 * [backup-simplify]: Simplify (/ PI 1) into PI 13.097 * [taylor]: Taking taylor expansion of (/ PI b) in a 13.097 * [taylor]: Taking taylor expansion of PI in a 13.097 * [backup-simplify]: Simplify PI into PI 13.097 * [taylor]: Taking taylor expansion of b in a 13.097 * [backup-simplify]: Simplify b into b 13.097 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 13.097 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 13.097 * [taylor]: Taking taylor expansion of (- b a) in a 13.097 * [taylor]: Taking taylor expansion of b in a 13.097 * [backup-simplify]: Simplify b into b 13.097 * [taylor]: Taking taylor expansion of a in a 13.097 * [backup-simplify]: Simplify 0 into 0 13.097 * [backup-simplify]: Simplify 1 into 1 13.097 * [taylor]: Taking taylor expansion of (+ a b) in a 13.097 * [taylor]: Taking taylor expansion of a in a 13.097 * [backup-simplify]: Simplify 0 into 0 13.097 * [backup-simplify]: Simplify 1 into 1 13.097 * [taylor]: Taking taylor expansion of b in a 13.097 * [backup-simplify]: Simplify b into b 13.097 * [backup-simplify]: Simplify (+ PI 0) into PI 13.098 * [backup-simplify]: Simplify (- 0) into 0 13.098 * [backup-simplify]: Simplify (+ b 0) into b 13.098 * [backup-simplify]: Simplify (+ 0 b) into b 13.098 * [backup-simplify]: Simplify (* b b) into (pow b 2) 13.098 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 13.098 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 13.098 * [taylor]: Taking taylor expansion of PI in b 13.098 * [backup-simplify]: Simplify PI into PI 13.098 * [taylor]: Taking taylor expansion of (pow b 2) in b 13.098 * [taylor]: Taking taylor expansion of b in b 13.098 * [backup-simplify]: Simplify 0 into 0 13.098 * [backup-simplify]: Simplify 1 into 1 13.098 * [backup-simplify]: Simplify (* 1 1) into 1 13.099 * [backup-simplify]: Simplify (/ PI 1) into PI 13.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.100 * [backup-simplify]: Simplify 0 into 0 13.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.100 * [backup-simplify]: Simplify (- (/ PI b)) into (- (/ PI b)) 13.100 * [backup-simplify]: Simplify (+ 0 (- (/ PI b))) into (- (/ PI b)) 13.100 * [backup-simplify]: Simplify (+ 1 0) into 1 13.101 * [backup-simplify]: Simplify (- 1) into -1 13.101 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.101 * [backup-simplify]: Simplify (+ (* b 1) (* -1 b)) into 0 13.101 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into (- (/ PI (pow b 3))) 13.101 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 3))) in b 13.101 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 13.101 * [taylor]: Taking taylor expansion of PI in b 13.101 * [backup-simplify]: Simplify PI into PI 13.101 * [taylor]: Taking taylor expansion of (pow b 3) in b 13.101 * [taylor]: Taking taylor expansion of b in b 13.101 * [backup-simplify]: Simplify 0 into 0 13.101 * [backup-simplify]: Simplify 1 into 1 13.102 * [backup-simplify]: Simplify (* 1 1) into 1 13.102 * [backup-simplify]: Simplify (* 1 1) into 1 13.102 * [backup-simplify]: Simplify (/ PI 1) into PI 13.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.105 * [backup-simplify]: Simplify (- 0) into 0 13.105 * [backup-simplify]: Simplify 0 into 0 13.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.107 * [backup-simplify]: Simplify 0 into 0 13.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.107 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 13.107 * [backup-simplify]: Simplify (- 0) into 0 13.108 * [backup-simplify]: Simplify (+ 0 0) into 0 13.108 * [backup-simplify]: Simplify (+ 0 0) into 0 13.108 * [backup-simplify]: Simplify (- 0) into 0 13.108 * [backup-simplify]: Simplify (+ 0 0) into 0 13.109 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 1) (* 0 b))) into (- 1) 13.109 * [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)) 13.109 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 13.109 * [taylor]: Taking taylor expansion of PI in b 13.109 * [backup-simplify]: Simplify PI into PI 13.109 * [taylor]: Taking taylor expansion of (pow b 4) in b 13.109 * [taylor]: Taking taylor expansion of b in b 13.109 * [backup-simplify]: Simplify 0 into 0 13.109 * [backup-simplify]: Simplify 1 into 1 13.110 * [backup-simplify]: Simplify (* 1 1) into 1 13.110 * [backup-simplify]: Simplify (* 1 1) into 1 13.110 * [backup-simplify]: Simplify (/ PI 1) into PI 13.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.115 * [backup-simplify]: Simplify 0 into 0 13.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.117 * [backup-simplify]: Simplify (- 0) into 0 13.117 * [backup-simplify]: Simplify 0 into 0 13.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.119 * [backup-simplify]: Simplify 0 into 0 13.119 * [backup-simplify]: Simplify 0 into 0 13.119 * [backup-simplify]: Simplify (/ (/ (- (/ PI (/ 1 a)) (/ PI (/ 1 b))) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) into (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) 13.119 * [approximate]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 13.119 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 13.119 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in b 13.119 * [taylor]: Taking taylor expansion of (* a PI) in b 13.119 * [taylor]: Taking taylor expansion of a in b 13.119 * [backup-simplify]: Simplify a into a 13.119 * [taylor]: Taking taylor expansion of PI in b 13.119 * [backup-simplify]: Simplify PI into PI 13.119 * [taylor]: Taking taylor expansion of (* PI b) in b 13.120 * [taylor]: Taking taylor expansion of PI in b 13.120 * [backup-simplify]: Simplify PI into PI 13.120 * [taylor]: Taking taylor expansion of b in b 13.120 * [backup-simplify]: Simplify 0 into 0 13.120 * [backup-simplify]: Simplify 1 into 1 13.120 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 13.120 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 13.120 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.120 * [taylor]: Taking taylor expansion of b in b 13.120 * [backup-simplify]: Simplify 0 into 0 13.120 * [backup-simplify]: Simplify 1 into 1 13.120 * [backup-simplify]: Simplify (/ 1 1) into 1 13.120 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.120 * [taylor]: Taking taylor expansion of a in b 13.120 * [backup-simplify]: Simplify a into a 13.120 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.120 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 13.120 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.120 * [taylor]: Taking taylor expansion of a in b 13.120 * [backup-simplify]: Simplify a into a 13.120 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.120 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.120 * [taylor]: Taking taylor expansion of b in b 13.120 * [backup-simplify]: Simplify 0 into 0 13.121 * [backup-simplify]: Simplify 1 into 1 13.121 * [backup-simplify]: Simplify (/ 1 1) into 1 13.121 * [backup-simplify]: Simplify (* a PI) into (* a PI) 13.121 * [backup-simplify]: Simplify (* PI 0) into 0 13.127 * [backup-simplify]: Simplify (- 0) into 0 13.127 * [backup-simplify]: Simplify (+ (* a PI) 0) into (* a PI) 13.128 * [backup-simplify]: Simplify (+ 1 0) into 1 13.128 * [backup-simplify]: Simplify (+ 0 1) into 1 13.129 * [backup-simplify]: Simplify (* 1 1) into 1 13.129 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 13.129 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 13.129 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 13.129 * [taylor]: Taking taylor expansion of (* a PI) in a 13.129 * [taylor]: Taking taylor expansion of a in a 13.129 * [backup-simplify]: Simplify 0 into 0 13.129 * [backup-simplify]: Simplify 1 into 1 13.129 * [taylor]: Taking taylor expansion of PI in a 13.129 * [backup-simplify]: Simplify PI into PI 13.129 * [taylor]: Taking taylor expansion of (* PI b) in a 13.129 * [taylor]: Taking taylor expansion of PI in a 13.129 * [backup-simplify]: Simplify PI into PI 13.129 * [taylor]: Taking taylor expansion of b in a 13.129 * [backup-simplify]: Simplify b into b 13.129 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 13.129 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 13.129 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.129 * [taylor]: Taking taylor expansion of b in a 13.129 * [backup-simplify]: Simplify b into b 13.129 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.129 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.129 * [taylor]: Taking taylor expansion of a in a 13.129 * [backup-simplify]: Simplify 0 into 0 13.129 * [backup-simplify]: Simplify 1 into 1 13.130 * [backup-simplify]: Simplify (/ 1 1) into 1 13.130 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 13.130 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.130 * [taylor]: Taking taylor expansion of a in a 13.130 * [backup-simplify]: Simplify 0 into 0 13.130 * [backup-simplify]: Simplify 1 into 1 13.130 * [backup-simplify]: Simplify (/ 1 1) into 1 13.130 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.130 * [taylor]: Taking taylor expansion of b in a 13.130 * [backup-simplify]: Simplify b into b 13.131 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.131 * [backup-simplify]: Simplify (* 0 PI) into 0 13.131 * [backup-simplify]: Simplify (* PI b) into (* b PI) 13.131 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 13.131 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 13.132 * [backup-simplify]: Simplify (- 1) into -1 13.132 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.133 * [backup-simplify]: Simplify (+ 1 0) into 1 13.133 * [backup-simplify]: Simplify (* -1 1) into -1 13.133 * [backup-simplify]: Simplify (/ (- (* PI b)) -1) into (* b PI) 13.133 * [taylor]: Taking taylor expansion of (/ (- (* a PI) (* PI b)) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 13.133 * [taylor]: Taking taylor expansion of (- (* a PI) (* PI b)) in a 13.133 * [taylor]: Taking taylor expansion of (* a PI) in a 13.133 * [taylor]: Taking taylor expansion of a in a 13.133 * [backup-simplify]: Simplify 0 into 0 13.133 * [backup-simplify]: Simplify 1 into 1 13.133 * [taylor]: Taking taylor expansion of PI in a 13.133 * [backup-simplify]: Simplify PI into PI 13.133 * [taylor]: Taking taylor expansion of (* PI b) in a 13.133 * [taylor]: Taking taylor expansion of PI in a 13.133 * [backup-simplify]: Simplify PI into PI 13.133 * [taylor]: Taking taylor expansion of b in a 13.133 * [backup-simplify]: Simplify b into b 13.133 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 13.133 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 13.133 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.133 * [taylor]: Taking taylor expansion of b in a 13.134 * [backup-simplify]: Simplify b into b 13.134 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.134 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.134 * [taylor]: Taking taylor expansion of a in a 13.134 * [backup-simplify]: Simplify 0 into 0 13.134 * [backup-simplify]: Simplify 1 into 1 13.134 * [backup-simplify]: Simplify (/ 1 1) into 1 13.134 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 13.134 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.134 * [taylor]: Taking taylor expansion of a in a 13.134 * [backup-simplify]: Simplify 0 into 0 13.134 * [backup-simplify]: Simplify 1 into 1 13.134 * [backup-simplify]: Simplify (/ 1 1) into 1 13.135 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.135 * [taylor]: Taking taylor expansion of b in a 13.135 * [backup-simplify]: Simplify b into b 13.135 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.135 * [backup-simplify]: Simplify (* 0 PI) into 0 13.135 * [backup-simplify]: Simplify (* PI b) into (* b PI) 13.135 * [backup-simplify]: Simplify (- (* b PI)) into (- (* b PI)) 13.135 * [backup-simplify]: Simplify (+ 0 (- (* b PI))) into (- (* PI b)) 13.135 * [backup-simplify]: Simplify (- 1) into -1 13.136 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.136 * [backup-simplify]: Simplify (+ 1 0) into 1 13.136 * [backup-simplify]: Simplify (* -1 1) into -1 13.136 * [backup-simplify]: Simplify (/ (- (* PI b)) -1) into (* b PI) 13.136 * [taylor]: Taking taylor expansion of (* b PI) in b 13.136 * [taylor]: Taking taylor expansion of b in b 13.136 * [backup-simplify]: Simplify 0 into 0 13.136 * [backup-simplify]: Simplify 1 into 1 13.136 * [taylor]: Taking taylor expansion of PI in b 13.136 * [backup-simplify]: Simplify PI into PI 13.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 13.137 * [backup-simplify]: Simplify 0 into 0 13.138 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.138 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 13.138 * [backup-simplify]: Simplify (- 0) into 0 13.139 * [backup-simplify]: Simplify (+ PI 0) into PI 13.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.139 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 13.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.140 * [backup-simplify]: Simplify (- 0) into 0 13.140 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 13.140 * [backup-simplify]: Simplify (+ (* -1 (/ 1 b)) (* (/ 1 b) 1)) into 0 13.141 * [backup-simplify]: Simplify (- (/ PI -1) (+ (* (* b PI) (/ 0 -1)))) into (- PI) 13.141 * [taylor]: Taking taylor expansion of (- PI) in b 13.141 * [taylor]: Taking taylor expansion of PI in b 13.141 * [backup-simplify]: Simplify PI into PI 13.141 * [backup-simplify]: Simplify (- 0) into 0 13.141 * [backup-simplify]: Simplify 0 into 0 13.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 13.142 * [backup-simplify]: Simplify 0 into 0 13.142 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 13.143 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 13.143 * [backup-simplify]: Simplify (- 0) into 0 13.143 * [backup-simplify]: Simplify (+ 0 0) into 0 13.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 13.144 * [backup-simplify]: Simplify (+ 0 0) into 0 13.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 13.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.145 * [backup-simplify]: Simplify (- 0) into 0 13.145 * [backup-simplify]: Simplify (+ 0 0) into 0 13.146 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 13.147 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* b PI) (/ (/ 1 (pow b 2)) -1)) (* (- PI) (/ 0 -1)))) into (/ PI b) 13.147 * [taylor]: Taking taylor expansion of (/ PI b) in b 13.147 * [taylor]: Taking taylor expansion of PI in b 13.147 * [backup-simplify]: Simplify PI into PI 13.147 * [taylor]: Taking taylor expansion of b in b 13.147 * [backup-simplify]: Simplify 0 into 0 13.147 * [backup-simplify]: Simplify 1 into 1 13.147 * [backup-simplify]: Simplify (/ PI 1) into PI 13.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.149 * [backup-simplify]: Simplify 0 into 0 13.150 * [backup-simplify]: Simplify (- 0) into 0 13.150 * [backup-simplify]: Simplify 0 into 0 13.150 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 13.150 * [backup-simplify]: Simplify 0 into 0 13.150 * [backup-simplify]: Simplify 0 into 0 13.151 * [backup-simplify]: Simplify (/ (/ (- (/ PI (/ 1 (- a))) (/ PI (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) into (* -1 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) 13.151 * [approximate]: Taking taylor expansion of (* -1 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in (a b) around 0 13.151 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in b 13.151 * [taylor]: Taking taylor expansion of -1 in b 13.151 * [backup-simplify]: Simplify -1 into -1 13.151 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in b 13.151 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in b 13.151 * [taylor]: Taking taylor expansion of (* b PI) in b 13.151 * [taylor]: Taking taylor expansion of b in b 13.151 * [backup-simplify]: Simplify 0 into 0 13.151 * [backup-simplify]: Simplify 1 into 1 13.151 * [taylor]: Taking taylor expansion of PI in b 13.151 * [backup-simplify]: Simplify PI into PI 13.151 * [taylor]: Taking taylor expansion of (* a PI) in b 13.151 * [taylor]: Taking taylor expansion of a in b 13.151 * [backup-simplify]: Simplify a into a 13.151 * [taylor]: Taking taylor expansion of PI in b 13.151 * [backup-simplify]: Simplify PI into PI 13.151 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in b 13.151 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 13.151 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.151 * [taylor]: Taking taylor expansion of a in b 13.151 * [backup-simplify]: Simplify a into a 13.151 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.151 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.151 * [taylor]: Taking taylor expansion of b in b 13.151 * [backup-simplify]: Simplify 0 into 0 13.151 * [backup-simplify]: Simplify 1 into 1 13.151 * [backup-simplify]: Simplify (/ 1 1) into 1 13.152 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 13.152 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.152 * [taylor]: Taking taylor expansion of a in b 13.152 * [backup-simplify]: Simplify a into a 13.152 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.152 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.152 * [taylor]: Taking taylor expansion of b in b 13.152 * [backup-simplify]: Simplify 0 into 0 13.152 * [backup-simplify]: Simplify 1 into 1 13.152 * [backup-simplify]: Simplify (/ 1 1) into 1 13.152 * [backup-simplify]: Simplify (* 0 PI) into 0 13.152 * [backup-simplify]: Simplify (* a PI) into (* a PI) 13.152 * [backup-simplify]: Simplify (- (* a PI)) into (- (* a PI)) 13.152 * [backup-simplify]: Simplify (+ 0 (- (* a PI))) into (- (* a PI)) 13.153 * [backup-simplify]: Simplify (- 1) into -1 13.153 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.153 * [backup-simplify]: Simplify (+ 0 1) into 1 13.153 * [backup-simplify]: Simplify (* -1 1) into -1 13.153 * [backup-simplify]: Simplify (/ (- (* a PI)) -1) into (* a PI) 13.154 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in a 13.154 * [taylor]: Taking taylor expansion of -1 in a 13.154 * [backup-simplify]: Simplify -1 into -1 13.154 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in a 13.154 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 13.154 * [taylor]: Taking taylor expansion of (* b PI) in a 13.154 * [taylor]: Taking taylor expansion of b in a 13.154 * [backup-simplify]: Simplify b into b 13.154 * [taylor]: Taking taylor expansion of PI in a 13.154 * [backup-simplify]: Simplify PI into PI 13.154 * [taylor]: Taking taylor expansion of (* a PI) in a 13.154 * [taylor]: Taking taylor expansion of a in a 13.154 * [backup-simplify]: Simplify 0 into 0 13.154 * [backup-simplify]: Simplify 1 into 1 13.154 * [taylor]: Taking taylor expansion of PI in a 13.154 * [backup-simplify]: Simplify PI into PI 13.154 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in a 13.154 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 13.154 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.154 * [taylor]: Taking taylor expansion of a in a 13.154 * [backup-simplify]: Simplify 0 into 0 13.154 * [backup-simplify]: Simplify 1 into 1 13.154 * [backup-simplify]: Simplify (/ 1 1) into 1 13.154 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.154 * [taylor]: Taking taylor expansion of b in a 13.154 * [backup-simplify]: Simplify b into b 13.154 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.154 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 13.154 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.154 * [taylor]: Taking taylor expansion of a in a 13.154 * [backup-simplify]: Simplify 0 into 0 13.154 * [backup-simplify]: Simplify 1 into 1 13.154 * [backup-simplify]: Simplify (/ 1 1) into 1 13.155 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.155 * [taylor]: Taking taylor expansion of b in a 13.155 * [backup-simplify]: Simplify b into b 13.155 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.155 * [backup-simplify]: Simplify (* b PI) into (* PI b) 13.155 * [backup-simplify]: Simplify (* 0 PI) into 0 13.155 * [backup-simplify]: Simplify (- 0) into 0 13.155 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 13.155 * [backup-simplify]: Simplify (+ 1 0) into 1 13.156 * [backup-simplify]: Simplify (+ 1 0) into 1 13.156 * [backup-simplify]: Simplify (* 1 1) into 1 13.156 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 13.156 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in a 13.156 * [taylor]: Taking taylor expansion of -1 in a 13.156 * [backup-simplify]: Simplify -1 into -1 13.156 * [taylor]: Taking taylor expansion of (/ (- (* b PI) (* a PI)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in a 13.156 * [taylor]: Taking taylor expansion of (- (* b PI) (* a PI)) in a 13.156 * [taylor]: Taking taylor expansion of (* b PI) in a 13.156 * [taylor]: Taking taylor expansion of b in a 13.156 * [backup-simplify]: Simplify b into b 13.156 * [taylor]: Taking taylor expansion of PI in a 13.156 * [backup-simplify]: Simplify PI into PI 13.156 * [taylor]: Taking taylor expansion of (* a PI) in a 13.156 * [taylor]: Taking taylor expansion of a in a 13.156 * [backup-simplify]: Simplify 0 into 0 13.156 * [backup-simplify]: Simplify 1 into 1 13.156 * [taylor]: Taking taylor expansion of PI in a 13.156 * [backup-simplify]: Simplify PI into PI 13.156 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in a 13.156 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 13.156 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.156 * [taylor]: Taking taylor expansion of a in a 13.156 * [backup-simplify]: Simplify 0 into 0 13.156 * [backup-simplify]: Simplify 1 into 1 13.157 * [backup-simplify]: Simplify (/ 1 1) into 1 13.157 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.157 * [taylor]: Taking taylor expansion of b in a 13.157 * [backup-simplify]: Simplify b into b 13.157 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.157 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 13.157 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.157 * [taylor]: Taking taylor expansion of a in a 13.157 * [backup-simplify]: Simplify 0 into 0 13.157 * [backup-simplify]: Simplify 1 into 1 13.157 * [backup-simplify]: Simplify (/ 1 1) into 1 13.157 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.157 * [taylor]: Taking taylor expansion of b in a 13.157 * [backup-simplify]: Simplify b into b 13.157 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.157 * [backup-simplify]: Simplify (* b PI) into (* PI b) 13.157 * [backup-simplify]: Simplify (* 0 PI) into 0 13.158 * [backup-simplify]: Simplify (- 0) into 0 13.158 * [backup-simplify]: Simplify (+ (* PI b) 0) into (* PI b) 13.158 * [backup-simplify]: Simplify (+ 1 0) into 1 13.158 * [backup-simplify]: Simplify (+ 1 0) into 1 13.159 * [backup-simplify]: Simplify (* 1 1) into 1 13.159 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 13.159 * [backup-simplify]: Simplify (* -1 (* PI b)) into (* -1 (* PI b)) 13.159 * [taylor]: Taking taylor expansion of (* -1 (* PI b)) in b 13.159 * [taylor]: Taking taylor expansion of -1 in b 13.159 * [backup-simplify]: Simplify -1 into -1 13.159 * [taylor]: Taking taylor expansion of (* PI b) in b 13.159 * [taylor]: Taking taylor expansion of PI in b 13.159 * [backup-simplify]: Simplify PI into PI 13.159 * [taylor]: Taking taylor expansion of b in b 13.159 * [backup-simplify]: Simplify 0 into 0 13.159 * [backup-simplify]: Simplify 1 into 1 13.159 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 13.160 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 13.161 * [backup-simplify]: Simplify (* PI 0) into 0 13.161 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 13.161 * [backup-simplify]: Simplify 0 into 0 13.161 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 13.162 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.163 * [backup-simplify]: Simplify (- PI) into (- PI) 13.163 * [backup-simplify]: Simplify (+ 0 (- PI)) into (- PI) 13.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.164 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 13.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.164 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 13.164 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 13.164 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (- (/ 1 b)) 1)) into 0 13.165 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ 0 1)))) into (- PI) 13.166 * [backup-simplify]: Simplify (+ (* -1 (- PI)) (* 0 (* PI b))) into PI 13.166 * [taylor]: Taking taylor expansion of PI in b 13.166 * [backup-simplify]: Simplify PI into PI 13.166 * [backup-simplify]: Simplify 0 into 0 13.167 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 13.168 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 13.168 * [backup-simplify]: Simplify 0 into 0 13.169 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 13.170 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 13.170 * [backup-simplify]: Simplify (- 0) into 0 13.170 * [backup-simplify]: Simplify (+ 0 0) into 0 13.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 13.172 * [backup-simplify]: Simplify (+ 0 0) into 0 13.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 13.174 * [backup-simplify]: Simplify (- 0) into 0 13.174 * [backup-simplify]: Simplify (+ 0 0) into 0 13.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) (/ 1 b)) (* 0 1))) into (- (/ 1 (pow b 2))) 13.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* (- PI) (/ 0 1)))) into (/ PI b) 13.177 * [backup-simplify]: Simplify (+ (* -1 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (- (/ PI b)) 13.177 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 13.177 * [taylor]: Taking taylor expansion of (/ PI b) in b 13.177 * [taylor]: Taking taylor expansion of PI in b 13.177 * [backup-simplify]: Simplify PI into PI 13.177 * [taylor]: Taking taylor expansion of b in b 13.178 * [backup-simplify]: Simplify 0 into 0 13.178 * [backup-simplify]: Simplify 1 into 1 13.178 * [backup-simplify]: Simplify (/ PI 1) into PI 13.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.181 * [backup-simplify]: Simplify (- 0) into 0 13.181 * [backup-simplify]: Simplify 0 into 0 13.181 * [backup-simplify]: Simplify 0 into 0 13.183 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.184 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 13.184 * [backup-simplify]: Simplify 0 into 0 13.184 * [backup-simplify]: Simplify 0 into 0 13.184 * * * [progress]: simplifying candidates 13.184 * * * * [progress]: [ 1 / 507 ] simplifiying candidate # 13.184 * * * * [progress]: [ 2 / 507 ] simplifiying candidate # 13.184 * * * * [progress]: [ 3 / 507 ] simplifiying candidate # 13.185 * * * * [progress]: [ 4 / 507 ] simplifiying candidate # 13.185 * * * * [progress]: [ 5 / 507 ] simplifiying candidate # 13.185 * * * * [progress]: [ 6 / 507 ] simplifiying candidate # 13.185 * * * * [progress]: [ 7 / 507 ] simplifiying candidate # 13.185 * * * * [progress]: [ 8 / 507 ] simplifiying candidate # 13.185 * * * * [progress]: [ 9 / 507 ] simplifiying candidate # 13.185 * * * * [progress]: [ 10 / 507 ] simplifiying candidate # 13.185 * * * * [progress]: [ 11 / 507 ] simplifiying candidate # 13.185 * * * * [progress]: [ 12 / 507 ] simplifiying candidate # 13.185 * * * * [progress]: [ 13 / 507 ] simplifiying candidate # 13.185 * * * * [progress]: [ 14 / 507 ] simplifiying candidate # 13.185 * * * * [progress]: [ 15 / 507 ] simplifiying candidate # 13.185 * * * * [progress]: [ 16 / 507 ] simplifiying candidate # 13.185 * * * * [progress]: [ 17 / 507 ] simplifiying candidate # 13.186 * * * * [progress]: [ 18 / 507 ] simplifiying candidate # 13.186 * * * * [progress]: [ 19 / 507 ] simplifiying candidate # 13.186 * * * * [progress]: [ 20 / 507 ] simplifiying candidate # 13.186 * * * * [progress]: [ 21 / 507 ] simplifiying candidate # 13.186 * * * * [progress]: [ 22 / 507 ] simplifiying candidate # 13.186 * * * * [progress]: [ 23 / 507 ] simplifiying candidate # 13.186 * * * * [progress]: [ 24 / 507 ] simplifiying candidate # 13.186 * * * * [progress]: [ 25 / 507 ] simplifiying candidate # 13.186 * * * * [progress]: [ 26 / 507 ] simplifiying candidate # 13.186 * * * * [progress]: [ 27 / 507 ] simplifiying candidate # 13.186 * * * * [progress]: [ 28 / 507 ] simplifiying candidate # 13.186 * * * * [progress]: [ 29 / 507 ] simplifiying candidate # 13.186 * * * * [progress]: [ 30 / 507 ] simplifiying candidate #real (real->posit16 (/ PI a))) (/ PI b)) (+ a b)) (- b a))))> 13.186 * * * * [progress]: [ 31 / 507 ] simplifiying candidate # 13.186 * * * * [progress]: [ 32 / 507 ] simplifiying candidate # 13.187 * * * * [progress]: [ 33 / 507 ] simplifiying candidate # 13.187 * * * * [progress]: [ 34 / 507 ] simplifiying candidate # 13.187 * * * * [progress]: [ 35 / 507 ] simplifiying candidate # 13.187 * * * * [progress]: [ 36 / 507 ] simplifiying candidate # 13.187 * * * * [progress]: [ 37 / 507 ] simplifiying candidate # 13.187 * * * * [progress]: [ 38 / 507 ] simplifiying candidate # 13.187 * * * * [progress]: [ 39 / 507 ] simplifiying candidate # 13.187 * * * * [progress]: [ 40 / 507 ] simplifiying candidate # 13.187 * * * * [progress]: [ 41 / 507 ] simplifiying candidate # 13.187 * * * * [progress]: [ 42 / 507 ] simplifiying candidate # 13.187 * * * * [progress]: [ 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[progress]: [ 507 / 507 ] simplifiying candidate # 13.234 * [simplify]: Simplifying: (expm1 (/ PI a)) (log1p (/ PI a)) (- (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)) (expm1 (/ PI b)) (log1p (/ PI b)) (- (log PI) (log b)) (log (/ PI b)) (exp (/ PI b)) (/ (* (* PI PI) PI) (* (* b b) 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1228 inf + 85 13.498 * * [simplify]: Extracting #2: cost 1269 inf + 3510 13.508 * * [simplify]: Extracting #3: cost 964 inf + 55266 13.557 * * [simplify]: Extracting #4: cost 406 inf + 233112 13.645 * * [simplify]: Extracting #5: cost 34 inf + 383846 13.715 * * [simplify]: Extracting #6: cost 0 inf + 398018 13.810 * [simplify]: Simplified to: (expm1 (/ PI a)) (log1p (/ PI a)) (log (/ PI 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 a)) (/ (cbrt PI) (cbrt a))) (/ (cbrt PI) (cbrt a)) (/ (cbrt PI) (/ (sqrt a) (cbrt PI))) (/ (cbrt PI) (sqrt a)) (* (cbrt PI) (cbrt PI)) (/ (cbrt PI) a) (/ (sqrt PI) (* (cbrt a) (cbrt a))) (/ (sqrt PI) (cbrt a)) (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt a)) (sqrt PI) (/ (sqrt PI) a) (/ (/ 1 (cbrt a)) (cbrt a)) (/ PI (cbrt a)) (/ 1 (sqrt a)) (/ PI (sqrt a)) 1 (/ PI a) (/ 1 a) (/ a PI) (/ 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a)))) (/ (/ 1 (sqrt (+ b a))) (sqrt (- b a))) (/ (- (/ PI a) (/ PI b)) (* (sqrt (- b a)) (sqrt (+ b a)))) (/ 1 (sqrt (+ b a))) (/ (- (/ PI a) (/ PI b)) (* (- b a) (sqrt (+ b a)))) (/ (/ 1 (sqrt (+ b a))) (+ (sqrt a) (sqrt b))) (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) (- (sqrt b) (sqrt a))) (/ 1 (sqrt (+ b a))) (/ (- (/ PI a) (/ PI b)) (* (- b a) (sqrt (+ b a)))) (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (cbrt (- b a))) (/ 1 (sqrt (- b a))) (/ (- (/ PI a) (/ PI b)) (* (sqrt (- b a)) (+ b a))) 1 (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))) (/ 1 (+ (sqrt a) (sqrt b))) (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (- (sqrt b) (sqrt a))) 1 (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))) (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (cbrt (- b a))) (/ 1 (sqrt (- b a))) (/ (- (/ PI a) (/ PI b)) (* (sqrt (- b a)) (+ b a))) 1 (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))) (/ 1 (+ (sqrt a) (sqrt b))) (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (- (sqrt b) (sqrt a))) 1 (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))) (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ PI a) (/ PI b)) (* (cbrt (- b a)) (cbrt (+ b a)))) (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (- b a))) (/ (- (/ PI a) (/ PI b)) (* (sqrt (- b a)) (cbrt (+ b a)))) (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (- (/ PI a) (/ PI b)) (* (- b a) (cbrt (+ b a)))) (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (+ (sqrt a) (sqrt b))) (/ (- (/ PI a) (/ PI b)) (* (- (sqrt b) (sqrt a)) (cbrt (+ b a)))) (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (- (/ PI a) (/ PI b)) (* (- b a) (cbrt (+ b a)))) (/ (/ (/ 1 (sqrt (+ b a))) (cbrt (- b a))) (cbrt (- b a))) (/ (- (/ PI a) (/ PI b)) (* (cbrt (- b a)) (sqrt (+ b a)))) (/ (/ 1 (sqrt (+ b a))) (sqrt (- b a))) (/ (- (/ PI a) (/ PI b)) (* (sqrt (- b a)) (sqrt (+ b a)))) (/ 1 (sqrt (+ b a))) (/ (- (/ PI a) (/ PI b)) (* (- b a) (sqrt (+ b a)))) (/ (/ 1 (sqrt (+ b a))) (+ (sqrt a) (sqrt b))) (/ (/ (- (/ PI a) (/ PI b)) (sqrt (+ b a))) (- (sqrt b) (sqrt a))) (/ 1 (sqrt (+ b a))) (/ (- (/ PI a) (/ PI b)) (* (- b a) (sqrt (+ b a)))) (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (cbrt (- b a))) (/ 1 (sqrt (- b a))) (/ (- (/ PI a) (/ PI b)) (* (sqrt (- b a)) (+ b a))) 1 (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))) (/ 1 (+ (sqrt a) (sqrt b))) (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (- (sqrt b) (sqrt a))) 1 (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))) (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (cbrt (- b a))) (/ 1 (sqrt (- b a))) (/ (- (/ PI a) (/ PI b)) (* (sqrt (- b a)) (+ b a))) 1 (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))) (/ 1 (+ (sqrt a) (sqrt b))) (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (- (sqrt b) (sqrt a))) 1 (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))) (/ (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) (cbrt (- b a))) (/ (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (- b a))) (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) (sqrt (- b a))) (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) (- b a)) (/ (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) (+ (sqrt a) (sqrt b))) (/ (- (/ 1 a) (/ 1 b)) (* (- (sqrt b) (sqrt a)) (cbrt (+ b a)))) (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a))) (- b a)) (/ (/ PI (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (- b a)) (sqrt (+ b a)))) (/ PI (* (sqrt (- b a)) (sqrt (+ b a)))) (/ (- (/ 1 a) (/ 1 b)) (* (sqrt (- b a)) (sqrt (+ b a)))) (/ PI (sqrt (+ b a))) (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) (- b a)) (/ PI (* (+ (sqrt a) (sqrt b)) (sqrt (+ b a)))) (/ (- (/ 1 a) (/ 1 b)) (* (- (sqrt b) (sqrt a)) (sqrt (+ b a)))) (/ PI (sqrt (+ b a))) (/ (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a))) (- b a)) (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (- b a)) (+ b a))) (/ PI (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (sqrt (- b a)) (+ b a))) PI (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI (+ (sqrt a) (sqrt b))) (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (- (sqrt b) (sqrt a))) PI (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ (/ PI (cbrt (- b a))) (cbrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (cbrt (- b a)) (+ b a))) (/ PI (sqrt (- b a))) (/ (- (/ 1 a) (/ 1 b)) (* (sqrt (- b a)) (+ b a))) PI (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ PI (+ (sqrt a) (sqrt b))) (/ (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (- (sqrt b) (sqrt a))) PI (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (cbrt (- b a))) (/ 1 (sqrt (- b a))) (/ (- (/ PI a) (/ PI b)) (* (sqrt (- b a)) (+ b a))) 1 (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))) (/ 1 (+ (sqrt a) (sqrt b))) (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (- (sqrt b) (sqrt a))) 1 (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a))) (/ (- (/ PI a) (/ PI b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ 1 (+ b a)) (cbrt (- b a))) (/ (- (/ PI a) (/ PI b)) (sqrt (- b a))) (/ 1 (* (sqrt (- b a)) (+ b a))) (- (/ PI a) (/ PI b)) (/ (/ 1 (+ b a)) (- b a)) (/ (- (/ PI a) (/ PI b)) (+ (sqrt a) (sqrt b))) (/ 1 (* (- (sqrt b) (sqrt a)) (+ b a))) (- (/ PI a) (/ PI b)) (/ (/ 1 (+ b a)) (- b a)) (/ (- (/ PI a) (/ PI b)) (* (* (cbrt (- b a)) (cbrt (- b a))) (+ (* (* b b) b) (* a (* a a))))) (/ (fma a a (* b (- b a))) (cbrt (- b a))) (/ (/ (- (/ PI a) (/ PI b)) (+ (* (* b b) b) (* a (* a a)))) (sqrt (- b a))) (/ (fma a a (* b (- b a))) (sqrt (- b a))) (/ (- (/ PI a) (/ PI b)) (+ (* (* b b) b) (* a (* a a)))) (/ (fma a a (* b (- b a))) (- b a)) (/ (/ (- (/ PI a) (/ PI b)) (+ (* (* b b) b) (* a (* a a)))) (+ (sqrt a) (sqrt b))) (/ (fma a a (* b (- b a))) (- (sqrt b) (sqrt a))) (/ (- (/ PI a) (/ PI b)) (+ (* (* b b) b) (* a (* a a)))) (/ (fma a a (* b (- b a))) (- b a)) (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- a b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- a b) (cbrt (- b a))) (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- a b))) (sqrt (- b a))) (/ (- a b) (sqrt (- b a))) (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- a b))) (/ (- a b) (- b a)) (/ (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- a b))) (+ (sqrt a) (sqrt b))) (/ (- a b) (- (sqrt b) (sqrt a))) (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- a b))) (/ (- a b) (- b a)) (/ 1 (- b a)) (* (/ (- b a) (- (/ PI a) (/ PI b))) (+ b a)) (/ (- (/ PI a) (/ PI b)) (* (* (cbrt (- b a)) (cbrt (- b a))) (+ b a))) (/ (- (/ PI a) (/ PI b)) (* (sqrt (- b a)) (+ b a))) (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (+ (sqrt a) (sqrt b))) (/ (- (/ PI a) (/ PI b)) (+ b a)) (/ (- b a) (cbrt (/ (- (/ PI a) (/ PI b)) (+ b a)))) (/ (- b a) (sqrt (/ (- (/ PI a) (/ PI b)) (+ b a)))) (/ (- b a) (/ (cbrt (- (/ PI a) (/ PI b))) (cbrt (+ b a)))) (/ (- b a) (/ (cbrt (- (/ PI a) (/ PI b))) (sqrt (+ b a)))) (/ (- b a) (/ (cbrt (- (/ PI a) (/ PI b))) (+ b a))) (/ (- b a) (/ (cbrt (- (/ PI a) (/ PI b))) (+ b a))) (/ (- b a) (/ (sqrt (- (/ PI a) (/ PI b))) (cbrt (+ b a)))) (/ (- b a) (/ (sqrt (- (/ PI a) (/ PI b))) (sqrt (+ b a)))) (* (/ (- b a) (sqrt (- (/ PI a) (/ PI b)))) (+ b a)) (* (/ (- b a) (sqrt (- (/ PI a) (/ PI b)))) (+ b a)) (/ (- b a) (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a)))) (* (/ (- b a) (- (/ PI a) (/ PI b))) (sqrt (+ b a))) (* (/ (- b a) (- (/ PI a) (/ PI b))) (+ b a)) (* (/ (- b a) (- (/ PI a) (/ PI b))) (+ b a)) (/ (- b a) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (cbrt (+ b a)))) (/ (- b a) (/ (- (sqrt (/ PI a)) (sqrt (/ PI b))) (sqrt (+ b a)))) (* (/ (- b a) (- (sqrt (/ PI a)) (sqrt (/ PI b)))) (+ b a)) (* (/ (- b a) (- (sqrt (/ PI a)) (sqrt (/ PI b)))) (+ b a)) (/ (- b a) (/ (- (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b))) (cbrt (+ b a)))) (/ (- b a) (/ (- (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b))) (sqrt (+ b a)))) (* (/ (- b a) (- (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b)))) (+ b a)) (* (/ (- b a) (- (sqrt (/ PI a)) (/ (sqrt PI) (sqrt b)))) (+ b a)) (* (/ (- b a) (- (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b)))) (cbrt (+ b a))) (* (/ (- b a) (- (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b)))) (sqrt (+ b a))) (* (/ (- b a) (- (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b)))) (+ b a)) (* (/ (- b a) (- (/ (sqrt PI) (sqrt a)) (sqrt (/ PI b)))) (+ b a)) (/ (- b a) (/ (- (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt b))) (cbrt (+ b a)))) (/ (- b a) (/ (- (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt b))) (sqrt (+ b a)))) (* (/ (- b a) (- (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt b)))) (+ b a)) (* (/ (- b a) (- (/ (sqrt PI) (sqrt a)) (/ (sqrt PI) (sqrt b)))) (+ b a)) (* (/ (- b a) (- (/ (cbrt PI) a) (/ (cbrt PI) b))) (cbrt (+ b a))) (* (/ (- b a) (- (/ (cbrt PI) a) (/ (cbrt PI) b))) (sqrt (+ b a))) (* (/ (- b a) (- (/ (cbrt PI) a) (/ (cbrt PI) b))) (+ b a)) (* (/ (- b a) (- (/ (cbrt PI) a) (/ (cbrt PI) b))) (+ b a)) (/ (- b a) (/ (- (/ (sqrt PI) a) (/ (sqrt PI) b)) (cbrt (+ b a)))) (* (/ (- b a) (- (/ (sqrt PI) a) (/ (sqrt PI) b))) (sqrt (+ b a))) (/ (- b a) (/ (- (/ (sqrt PI) a) (/ (sqrt PI) b)) (+ b a))) (/ (- b a) (/ (- (/ (sqrt PI) a) (/ (sqrt PI) b)) (+ b a))) (/ (- b a) (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a)))) (* (/ (- b a) (- (/ PI a) (/ PI b))) (sqrt (+ b a))) (* (/ (- b a) (- (/ PI a) (/ PI b))) (+ b a)) (* (/ (- b a) (- (/ PI a) (/ PI b))) (+ b a)) (/ (- b a) (/ (- (/ PI a) (/ PI b)) (cbrt (+ b a)))) (* (/ (- b a) (- (/ PI a) (/ PI b))) (sqrt (+ b a))) (* (/ (- b a) (- (/ PI a) (/ PI b))) (+ b a)) (* (/ (- b a) (- (/ PI a) (/ PI b))) (+ b a)) (/ (- b a) (/ (- (/ 1 a) (/ 1 b)) (cbrt (+ b a)))) (/ (- b a) (/ (- (/ 1 a) (/ 1 b)) (sqrt (+ b a)))) (/ (- b a) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (/ (- b a) (/ (- (/ 1 a) (/ 1 b)) (+ b a))) (* (/ (- b a) (- (/ PI a) (/ PI b))) (+ b a)) (/ (- b a) (/ 1 (+ b a))) (/ (- b a) (fma a a (* b (- b a)))) (/ (- b a) (- a b)) (/ (- (/ PI a) (/ PI b)) (* (- (* (* b b) b) (* a (* a a))) (+ b a))) (/ (/ (- (/ PI a) (/ PI b)) (+ b a)) (* (+ b a) (- b a))) (* (+ b a) (- b a)) (real->posit16 (/ (- (/ PI a) (/ PI b)) (* (+ b a) (- b a)))) (/ PI a) (/ PI a) (/ PI a) (/ PI b) (/ PI b) (/ PI b) (/ (/ PI a) b) (- (/ (/ PI a) b)) (- (/ (/ PI a) b)) 0 0 0 13.884 * * * [progress]: adding candidates to table 19.499 * * [progress]: iteration 4 / 4 19.499 * * * [progress]: picking best candidate 19.530 * * * * [pick]: Picked # 19.530 * * * [progress]: localizing error 19.562 * * * [progress]: generating rewritten candidates 19.562 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 19.584 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 19.612 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 19.654 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 19.865 * * * [progress]: generating series expansions 19.865 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 19.865 * [backup-simplify]: Simplify (/ PI (/ (+ a b) (- (/ 1 a) (/ 1 b)))) into (/ (* PI (- (/ 1 a) (/ 1 b))) (+ a b)) 19.865 * [approximate]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ a b)) in (a b) around 0 19.865 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ a b)) in b 19.865 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 19.865 * [taylor]: Taking taylor expansion of PI in b 19.865 * [backup-simplify]: Simplify PI into PI 19.865 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 19.865 * [taylor]: Taking taylor expansion of (/ 1 a) in b 19.865 * [taylor]: Taking taylor expansion of a in b 19.865 * [backup-simplify]: Simplify a into a 19.865 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 19.865 * [taylor]: Taking taylor expansion of (/ 1 b) in b 19.865 * [taylor]: Taking taylor expansion of b in b 19.865 * [backup-simplify]: Simplify 0 into 0 19.866 * [backup-simplify]: Simplify 1 into 1 19.866 * [backup-simplify]: Simplify (/ 1 1) into 1 19.866 * [taylor]: Taking taylor expansion of (+ a b) in b 19.866 * [taylor]: Taking taylor expansion of a in b 19.866 * [backup-simplify]: Simplify a into a 19.866 * [taylor]: Taking taylor expansion of b in b 19.866 * [backup-simplify]: Simplify 0 into 0 19.866 * [backup-simplify]: Simplify 1 into 1 19.867 * [backup-simplify]: Simplify (- 1) into -1 19.867 * [backup-simplify]: Simplify (+ 0 -1) into -1 19.868 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 19.868 * [backup-simplify]: Simplify (+ a 0) into a 19.868 * [backup-simplify]: Simplify (/ (* -1 PI) a) into (* -1 (/ PI a)) 19.868 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ a b)) in a 19.868 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 19.868 * [taylor]: Taking taylor expansion of PI in a 19.869 * [backup-simplify]: Simplify PI into PI 19.869 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 19.869 * [taylor]: Taking taylor expansion of (/ 1 a) in a 19.869 * [taylor]: Taking taylor expansion of a in a 19.869 * [backup-simplify]: Simplify 0 into 0 19.869 * [backup-simplify]: Simplify 1 into 1 19.869 * [backup-simplify]: Simplify (/ 1 1) into 1 19.869 * [taylor]: Taking taylor expansion of (/ 1 b) in a 19.869 * [taylor]: Taking taylor expansion of b in a 19.869 * [backup-simplify]: Simplify b into b 19.869 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 19.869 * [taylor]: Taking taylor expansion of (+ a b) in a 19.869 * [taylor]: Taking taylor expansion of a in a 19.869 * [backup-simplify]: Simplify 0 into 0 19.869 * [backup-simplify]: Simplify 1 into 1 19.869 * [taylor]: Taking taylor expansion of b in a 19.869 * [backup-simplify]: Simplify b into b 19.870 * [backup-simplify]: Simplify (+ 1 0) into 1 19.870 * [backup-simplify]: Simplify (* PI 1) into PI 19.870 * [backup-simplify]: Simplify (+ 0 b) into b 19.870 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 19.870 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ a b)) in a 19.870 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 19.870 * [taylor]: Taking taylor expansion of PI in a 19.870 * [backup-simplify]: Simplify PI into PI 19.870 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 19.870 * [taylor]: Taking taylor expansion of (/ 1 a) in a 19.870 * [taylor]: Taking taylor expansion of a in a 19.871 * [backup-simplify]: Simplify 0 into 0 19.871 * [backup-simplify]: Simplify 1 into 1 19.871 * [backup-simplify]: Simplify (/ 1 1) into 1 19.871 * [taylor]: Taking taylor expansion of (/ 1 b) in a 19.871 * [taylor]: Taking taylor expansion of b in a 19.871 * [backup-simplify]: Simplify b into b 19.871 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 19.871 * [taylor]: Taking taylor expansion of (+ a b) in a 19.871 * [taylor]: Taking taylor expansion of a in a 19.871 * [backup-simplify]: Simplify 0 into 0 19.871 * [backup-simplify]: Simplify 1 into 1 19.871 * [taylor]: Taking taylor expansion of b in a 19.871 * [backup-simplify]: Simplify b into b 19.872 * [backup-simplify]: Simplify (+ 1 0) into 1 19.872 * [backup-simplify]: Simplify (* PI 1) into PI 19.872 * [backup-simplify]: Simplify (+ 0 b) into b 19.872 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 19.872 * [taylor]: Taking taylor expansion of (/ PI b) in b 19.872 * [taylor]: Taking taylor expansion of PI in b 19.872 * [backup-simplify]: Simplify PI into PI 19.872 * [taylor]: Taking taylor expansion of b in b 19.872 * [backup-simplify]: Simplify 0 into 0 19.872 * [backup-simplify]: Simplify 1 into 1 19.873 * [backup-simplify]: Simplify (/ PI 1) into PI 19.873 * [backup-simplify]: Simplify PI into PI 19.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.874 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 19.874 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 19.874 * [backup-simplify]: Simplify (+ (* PI (- (/ 1 b))) (* 0 1)) into (- (/ PI b)) 19.875 * [backup-simplify]: Simplify (+ 1 0) into 1 19.875 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) b) (+ (* (/ PI b) (/ 1 b)))) into (- (* 2 (/ PI (pow b 2)))) 19.875 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow b 2)))) in b 19.875 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 19.875 * [taylor]: Taking taylor expansion of 2 in b 19.875 * [backup-simplify]: Simplify 2 into 2 19.875 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 19.875 * [taylor]: Taking taylor expansion of PI in b 19.875 * [backup-simplify]: Simplify PI into PI 19.875 * [taylor]: Taking taylor expansion of (pow b 2) in b 19.875 * [taylor]: Taking taylor expansion of b in b 19.875 * [backup-simplify]: Simplify 0 into 0 19.876 * [backup-simplify]: Simplify 1 into 1 19.876 * [backup-simplify]: Simplify (* 1 1) into 1 19.876 * [backup-simplify]: Simplify (/ PI 1) into PI 19.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 19.879 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 19.879 * [backup-simplify]: Simplify (- 0) into 0 19.879 * [backup-simplify]: Simplify 0 into 0 19.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 19.880 * [backup-simplify]: Simplify 0 into 0 19.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 19.881 * [backup-simplify]: Simplify (- 0) into 0 19.882 * [backup-simplify]: Simplify (+ 0 0) into 0 19.883 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (- (/ 1 b))) (* 0 1))) into 0 19.883 * [backup-simplify]: Simplify (+ 0 0) into 0 19.883 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (* 2 (/ PI (pow b 2)))) (/ 1 b)))) into (* 2 (/ PI (pow b 3))) 19.884 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 3))) in b 19.884 * [taylor]: Taking taylor expansion of 2 in b 19.884 * [backup-simplify]: Simplify 2 into 2 19.884 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 19.884 * [taylor]: Taking taylor expansion of PI in b 19.884 * [backup-simplify]: Simplify PI into PI 19.884 * [taylor]: Taking taylor expansion of (pow b 3) in b 19.884 * [taylor]: Taking taylor expansion of b in b 19.884 * [backup-simplify]: Simplify 0 into 0 19.884 * [backup-simplify]: Simplify 1 into 1 19.884 * [backup-simplify]: Simplify (* 1 1) into 1 19.885 * [backup-simplify]: Simplify (* 1 1) into 1 19.885 * [backup-simplify]: Simplify (/ PI 1) into PI 19.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 19.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.891 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 19.891 * [backup-simplify]: Simplify 0 into 0 19.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.894 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 19.895 * [backup-simplify]: Simplify (- 0) into 0 19.895 * [backup-simplify]: Simplify 0 into 0 19.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.896 * [backup-simplify]: Simplify 0 into 0 19.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 19.898 * [backup-simplify]: Simplify (- 0) into 0 19.898 * [backup-simplify]: Simplify (+ 0 0) into 0 19.899 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (- (/ 1 b))) (* 0 1)))) into 0 19.900 * [backup-simplify]: Simplify (+ 0 0) into 0 19.900 * [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)))) 19.900 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI (pow b 4)))) in b 19.900 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 4))) in b 19.900 * [taylor]: Taking taylor expansion of 2 in b 19.900 * [backup-simplify]: Simplify 2 into 2 19.900 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 19.900 * [taylor]: Taking taylor expansion of PI in b 19.900 * [backup-simplify]: Simplify PI into PI 19.901 * [taylor]: Taking taylor expansion of (pow b 4) in b 19.901 * [taylor]: Taking taylor expansion of b in b 19.901 * [backup-simplify]: Simplify 0 into 0 19.901 * [backup-simplify]: Simplify 1 into 1 19.901 * [backup-simplify]: Simplify (* 1 1) into 1 19.901 * [backup-simplify]: Simplify (* 1 1) into 1 19.902 * [backup-simplify]: Simplify (/ PI 1) into PI 19.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 19.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.914 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 19.914 * [backup-simplify]: Simplify (- 0) into 0 19.914 * [backup-simplify]: Simplify 0 into 0 19.914 * [backup-simplify]: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) 19.915 * [backup-simplify]: Simplify (/ PI (/ (+ (/ 1 a) (/ 1 b)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) into (/ (* (- a b) PI) (+ (/ 1 a) (/ 1 b))) 19.915 * [approximate]: Taking taylor expansion of (/ (* (- a b) PI) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 19.915 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (+ (/ 1 a) (/ 1 b))) in b 19.915 * [taylor]: Taking taylor expansion of (* (- a b) PI) in b 19.915 * [taylor]: Taking taylor expansion of (- a b) in b 19.915 * [taylor]: Taking taylor expansion of a in b 19.915 * [backup-simplify]: Simplify a into a 19.915 * [taylor]: Taking taylor expansion of b in b 19.915 * [backup-simplify]: Simplify 0 into 0 19.915 * [backup-simplify]: Simplify 1 into 1 19.915 * [taylor]: Taking taylor expansion of PI in b 19.915 * [backup-simplify]: Simplify PI into PI 19.915 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 19.915 * [taylor]: Taking taylor expansion of (/ 1 a) in b 19.915 * [taylor]: Taking taylor expansion of a in b 19.915 * [backup-simplify]: Simplify a into a 19.915 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 19.915 * [taylor]: Taking taylor expansion of (/ 1 b) in b 19.915 * [taylor]: Taking taylor expansion of b in b 19.915 * [backup-simplify]: Simplify 0 into 0 19.915 * [backup-simplify]: Simplify 1 into 1 19.916 * [backup-simplify]: Simplify (/ 1 1) into 1 19.916 * [backup-simplify]: Simplify (- 0) into 0 19.916 * [backup-simplify]: Simplify (+ a 0) into a 19.916 * [backup-simplify]: Simplify (* a PI) into (* a PI) 19.917 * [backup-simplify]: Simplify (+ 0 1) into 1 19.917 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 19.917 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (+ (/ 1 a) (/ 1 b))) in a 19.917 * [taylor]: Taking taylor expansion of (* (- a b) PI) in a 19.917 * [taylor]: Taking taylor expansion of (- a b) in a 19.917 * [taylor]: Taking taylor expansion of a in a 19.917 * [backup-simplify]: Simplify 0 into 0 19.917 * [backup-simplify]: Simplify 1 into 1 19.917 * [taylor]: Taking taylor expansion of b in a 19.917 * [backup-simplify]: Simplify b into b 19.917 * [taylor]: Taking taylor expansion of PI in a 19.917 * [backup-simplify]: Simplify PI into PI 19.917 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 19.917 * [taylor]: Taking taylor expansion of (/ 1 a) in a 19.917 * [taylor]: Taking taylor expansion of a in a 19.917 * [backup-simplify]: Simplify 0 into 0 19.917 * [backup-simplify]: Simplify 1 into 1 19.917 * [backup-simplify]: Simplify (/ 1 1) into 1 19.917 * [taylor]: Taking taylor expansion of (/ 1 b) in a 19.918 * [taylor]: Taking taylor expansion of b in a 19.918 * [backup-simplify]: Simplify b into b 19.918 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 19.918 * [backup-simplify]: Simplify (- b) into (- b) 19.918 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 19.918 * [backup-simplify]: Simplify (* (- b) PI) into (* -1 (* PI b)) 19.918 * [backup-simplify]: Simplify (+ 1 0) into 1 19.918 * [backup-simplify]: Simplify (/ (* -1 (* PI b)) 1) into (* -1 (* b PI)) 19.918 * [taylor]: Taking taylor expansion of (/ (* (- a b) PI) (+ (/ 1 a) (/ 1 b))) in a 19.918 * [taylor]: Taking taylor expansion of (* (- a b) PI) in a 19.919 * [taylor]: Taking taylor expansion of (- a b) in a 19.919 * [taylor]: Taking taylor expansion of a in a 19.919 * [backup-simplify]: Simplify 0 into 0 19.919 * [backup-simplify]: Simplify 1 into 1 19.919 * [taylor]: Taking taylor expansion of b in a 19.919 * [backup-simplify]: Simplify b into b 19.919 * [taylor]: Taking taylor expansion of PI in a 19.919 * [backup-simplify]: Simplify PI into PI 19.919 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 19.919 * [taylor]: Taking taylor expansion of (/ 1 a) in a 19.919 * [taylor]: Taking taylor expansion of a in a 19.919 * [backup-simplify]: Simplify 0 into 0 19.919 * [backup-simplify]: Simplify 1 into 1 19.919 * [backup-simplify]: Simplify (/ 1 1) into 1 19.919 * [taylor]: Taking taylor expansion of (/ 1 b) in a 19.919 * [taylor]: Taking taylor expansion of b in a 19.919 * [backup-simplify]: Simplify b into b 19.919 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 19.919 * [backup-simplify]: Simplify (- b) into (- b) 19.919 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 19.920 * [backup-simplify]: Simplify (* (- b) PI) into (* -1 (* PI b)) 19.920 * [backup-simplify]: Simplify (+ 1 0) into 1 19.920 * [backup-simplify]: Simplify (/ (* -1 (* PI b)) 1) into (* -1 (* b PI)) 19.920 * [taylor]: Taking taylor expansion of (* -1 (* b PI)) in b 19.920 * [taylor]: Taking taylor expansion of -1 in b 19.920 * [backup-simplify]: Simplify -1 into -1 19.920 * [taylor]: Taking taylor expansion of (* b PI) in b 19.920 * [taylor]: Taking taylor expansion of b in b 19.920 * [backup-simplify]: Simplify 0 into 0 19.920 * [backup-simplify]: Simplify 1 into 1 19.920 * [taylor]: Taking taylor expansion of PI in b 19.920 * [backup-simplify]: Simplify PI into PI 19.922 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 19.923 * [backup-simplify]: Simplify (* 0 PI) into 0 19.924 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 19.924 * [backup-simplify]: Simplify (- PI) into (- PI) 19.925 * [backup-simplify]: Simplify (- 0) into 0 19.925 * [backup-simplify]: Simplify (+ 1 0) into 1 19.926 * [backup-simplify]: Simplify (+ (* (- b) 0) (* 1 PI)) into PI 19.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.927 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 19.927 * [backup-simplify]: Simplify (- (/ PI 1) (+ (* (* -1 (* b PI)) (/ (/ 1 b) 1)))) into (* 2 PI) 19.927 * [taylor]: Taking taylor expansion of (* 2 PI) in b 19.927 * [taylor]: Taking taylor expansion of 2 in b 19.927 * [backup-simplify]: Simplify 2 into 2 19.927 * [taylor]: Taking taylor expansion of PI in b 19.927 * [backup-simplify]: Simplify PI into PI 19.928 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 19.928 * [backup-simplify]: Simplify 0 into 0 19.929 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 19.930 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 19.930 * [backup-simplify]: Simplify 0 into 0 19.931 * [backup-simplify]: Simplify (- 0) into 0 19.931 * [backup-simplify]: Simplify (+ 0 0) into 0 19.932 * [backup-simplify]: Simplify (+ (* (- b) 0) (+ (* 1 0) (* 0 PI))) into 0 19.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 19.933 * [backup-simplify]: Simplify (+ 0 0) into 0 19.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* b PI)) (/ 0 1)) (* (* 2 PI) (/ (/ 1 b) 1)))) into (- (* 2 (/ PI b))) 19.935 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI b))) in b 19.935 * [taylor]: Taking taylor expansion of (* 2 (/ PI b)) in b 19.935 * [taylor]: Taking taylor expansion of 2 in b 19.935 * [backup-simplify]: Simplify 2 into 2 19.935 * [taylor]: Taking taylor expansion of (/ PI b) in b 19.935 * [taylor]: Taking taylor expansion of PI in b 19.935 * [backup-simplify]: Simplify PI into PI 19.935 * [taylor]: Taking taylor expansion of b in b 19.935 * [backup-simplify]: Simplify 0 into 0 19.935 * [backup-simplify]: Simplify 1 into 1 19.936 * [backup-simplify]: Simplify (/ PI 1) into PI 19.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 19.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.938 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 19.939 * [backup-simplify]: Simplify (- 0) into 0 19.939 * [backup-simplify]: Simplify 0 into 0 19.940 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 19.940 * [backup-simplify]: Simplify 0 into 0 19.941 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 19.942 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 19.942 * [backup-simplify]: Simplify 0 into 0 19.943 * [backup-simplify]: Simplify (- 0) into 0 19.943 * [backup-simplify]: Simplify (+ 0 0) into 0 19.944 * [backup-simplify]: Simplify (+ (* (- b) 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 19.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 19.945 * [backup-simplify]: Simplify (+ 0 0) into 0 19.948 * [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))) 19.948 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 19.948 * [taylor]: Taking taylor expansion of 2 in b 19.948 * [backup-simplify]: Simplify 2 into 2 19.948 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 19.948 * [taylor]: Taking taylor expansion of PI in b 19.948 * [backup-simplify]: Simplify PI into PI 19.948 * [taylor]: Taking taylor expansion of (pow b 2) in b 19.948 * [taylor]: Taking taylor expansion of b in b 19.948 * [backup-simplify]: Simplify 0 into 0 19.948 * [backup-simplify]: Simplify 1 into 1 19.948 * [backup-simplify]: Simplify (* 1 1) into 1 19.949 * [backup-simplify]: Simplify (/ PI 1) into PI 19.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 19.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 19.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 19.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 19.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.955 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 19.956 * [backup-simplify]: Simplify 0 into 0 19.956 * [backup-simplify]: Simplify (* (- PI) (* (/ 1 b) (/ 1 a))) into (* -1 (/ PI (* a b))) 19.956 * [backup-simplify]: Simplify (/ PI (/ (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) into (* -1 (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b)))) 19.956 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 19.956 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b)))) in b 19.957 * [taylor]: Taking taylor expansion of -1 in b 19.957 * [backup-simplify]: Simplify -1 into -1 19.957 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b))) in b 19.957 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 19.957 * [taylor]: Taking taylor expansion of (- b a) in b 19.957 * [taylor]: Taking taylor expansion of b in b 19.957 * [backup-simplify]: Simplify 0 into 0 19.957 * [backup-simplify]: Simplify 1 into 1 19.957 * [taylor]: Taking taylor expansion of a in b 19.957 * [backup-simplify]: Simplify a into a 19.957 * [taylor]: Taking taylor expansion of PI in b 19.957 * [backup-simplify]: Simplify PI into PI 19.957 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 19.957 * [taylor]: Taking taylor expansion of (/ 1 a) in b 19.957 * [taylor]: Taking taylor expansion of a in b 19.957 * [backup-simplify]: Simplify a into a 19.957 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 19.957 * [taylor]: Taking taylor expansion of (/ 1 b) in b 19.957 * [taylor]: Taking taylor expansion of b in b 19.957 * [backup-simplify]: Simplify 0 into 0 19.957 * [backup-simplify]: Simplify 1 into 1 19.957 * [backup-simplify]: Simplify (/ 1 1) into 1 19.958 * [backup-simplify]: Simplify (- a) into (- a) 19.958 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 19.958 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 19.958 * [backup-simplify]: Simplify (+ 0 1) into 1 19.958 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) 1) into (* -1 (* a PI)) 19.958 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b)))) in a 19.958 * [taylor]: Taking taylor expansion of -1 in a 19.958 * [backup-simplify]: Simplify -1 into -1 19.958 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b))) in a 19.958 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 19.958 * [taylor]: Taking taylor expansion of (- b a) in a 19.958 * [taylor]: Taking taylor expansion of b in a 19.958 * [backup-simplify]: Simplify b into b 19.958 * [taylor]: Taking taylor expansion of a in a 19.959 * [backup-simplify]: Simplify 0 into 0 19.959 * [backup-simplify]: Simplify 1 into 1 19.959 * [taylor]: Taking taylor expansion of PI in a 19.959 * [backup-simplify]: Simplify PI into PI 19.959 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 19.959 * [taylor]: Taking taylor expansion of (/ 1 a) in a 19.959 * [taylor]: Taking taylor expansion of a in a 19.959 * [backup-simplify]: Simplify 0 into 0 19.959 * [backup-simplify]: Simplify 1 into 1 19.959 * [backup-simplify]: Simplify (/ 1 1) into 1 19.959 * [taylor]: Taking taylor expansion of (/ 1 b) in a 19.959 * [taylor]: Taking taylor expansion of b in a 19.959 * [backup-simplify]: Simplify b into b 19.959 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 19.960 * [backup-simplify]: Simplify (- 0) into 0 19.960 * [backup-simplify]: Simplify (+ b 0) into b 19.960 * [backup-simplify]: Simplify (* b PI) into (* PI b) 19.960 * [backup-simplify]: Simplify (+ 1 0) into 1 19.960 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 19.960 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b)))) in a 19.960 * [taylor]: Taking taylor expansion of -1 in a 19.960 * [backup-simplify]: Simplify -1 into -1 19.960 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ (/ 1 a) (/ 1 b))) in a 19.960 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 19.960 * [taylor]: Taking taylor expansion of (- b a) in a 19.960 * [taylor]: Taking taylor expansion of b in a 19.960 * [backup-simplify]: Simplify b into b 19.961 * [taylor]: Taking taylor expansion of a in a 19.961 * [backup-simplify]: Simplify 0 into 0 19.961 * [backup-simplify]: Simplify 1 into 1 19.961 * [taylor]: Taking taylor expansion of PI in a 19.961 * [backup-simplify]: Simplify PI into PI 19.961 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 19.961 * [taylor]: Taking taylor expansion of (/ 1 a) in a 19.961 * [taylor]: Taking taylor expansion of a in a 19.961 * [backup-simplify]: Simplify 0 into 0 19.961 * [backup-simplify]: Simplify 1 into 1 19.961 * [backup-simplify]: Simplify (/ 1 1) into 1 19.961 * [taylor]: Taking taylor expansion of (/ 1 b) in a 19.961 * [taylor]: Taking taylor expansion of b in a 19.961 * [backup-simplify]: Simplify b into b 19.961 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 19.962 * [backup-simplify]: Simplify (- 0) into 0 19.962 * [backup-simplify]: Simplify (+ b 0) into b 19.962 * [backup-simplify]: Simplify (* b PI) into (* PI b) 19.962 * [backup-simplify]: Simplify (+ 1 0) into 1 19.962 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 19.962 * [backup-simplify]: Simplify (* -1 (* PI b)) into (* -1 (* PI b)) 19.962 * [taylor]: Taking taylor expansion of (* -1 (* PI b)) in b 19.962 * [taylor]: Taking taylor expansion of -1 in b 19.963 * [backup-simplify]: Simplify -1 into -1 19.963 * [taylor]: Taking taylor expansion of (* PI b) in b 19.963 * [taylor]: Taking taylor expansion of PI in b 19.963 * [backup-simplify]: Simplify PI into PI 19.963 * [taylor]: Taking taylor expansion of b in b 19.963 * [backup-simplify]: Simplify 0 into 0 19.963 * [backup-simplify]: Simplify 1 into 1 19.964 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 19.965 * [backup-simplify]: Simplify (* PI 0) into 0 19.979 * [backup-simplify]: Simplify (+ (* -1 PI) (* 0 0)) into (- PI) 19.980 * [backup-simplify]: Simplify (- PI) into (- PI) 19.980 * [backup-simplify]: Simplify (- 1) into -1 19.980 * [backup-simplify]: Simplify (+ 0 -1) into -1 19.981 * [backup-simplify]: Simplify (+ (* b 0) (* -1 PI)) into (- PI) 19.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 19.982 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 19.983 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- (* 2 PI)) 19.985 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 PI))) (* 0 (* PI b))) into (* 2 PI) 19.985 * [taylor]: Taking taylor expansion of (* 2 PI) in b 19.985 * [taylor]: Taking taylor expansion of 2 in b 19.985 * [backup-simplify]: Simplify 2 into 2 19.985 * [taylor]: Taking taylor expansion of PI in b 19.985 * [backup-simplify]: Simplify PI into PI 19.985 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0 19.985 * [backup-simplify]: Simplify 0 into 0 19.987 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 19.988 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 19.988 * [backup-simplify]: Simplify 0 into 0 19.988 * [backup-simplify]: Simplify (- 0) into 0 19.988 * [backup-simplify]: Simplify (+ 0 0) into 0 19.989 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 0) (* 0 PI))) into 0 19.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 19.991 * [backup-simplify]: Simplify (+ 0 0) into 0 19.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- (* 2 PI)) (/ (/ 1 b) 1)))) into (* 2 (/ PI b)) 19.994 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ PI b))) (+ (* 0 (- (* 2 PI))) (* 0 (* PI b)))) into (- (* 2 (/ PI b))) 19.994 * [taylor]: Taking taylor expansion of (- (* 2 (/ PI b))) in b 19.994 * [taylor]: Taking taylor expansion of (* 2 (/ PI b)) in b 19.994 * [taylor]: Taking taylor expansion of 2 in b 19.994 * [backup-simplify]: Simplify 2 into 2 19.994 * [taylor]: Taking taylor expansion of (/ PI b) in b 19.994 * [taylor]: Taking taylor expansion of PI in b 19.994 * [backup-simplify]: Simplify PI into PI 19.994 * [taylor]: Taking taylor expansion of b in b 19.994 * [backup-simplify]: Simplify 0 into 0 19.994 * [backup-simplify]: Simplify 1 into 1 19.995 * [backup-simplify]: Simplify (/ PI 1) into PI 19.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 19.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 19.997 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 19.998 * [backup-simplify]: Simplify (- 0) into 0 19.998 * [backup-simplify]: Simplify 0 into 0 19.999 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 19.999 * [backup-simplify]: Simplify 0 into 0 20.001 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 20.002 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 20.002 * [backup-simplify]: Simplify 0 into 0 20.002 * [backup-simplify]: Simplify (- 0) into 0 20.003 * [backup-simplify]: Simplify (+ 0 0) into 0 20.003 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 0) (+ (* 0 0) (* 0 PI)))) into 0 20.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 20.004 * [backup-simplify]: Simplify (+ 0 0) into 0 20.006 * [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)))) 20.006 * [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))) 20.006 * [taylor]: Taking taylor expansion of (* 2 (/ PI (pow b 2))) in b 20.006 * [taylor]: Taking taylor expansion of 2 in b 20.006 * [backup-simplify]: Simplify 2 into 2 20.006 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 20.006 * [taylor]: Taking taylor expansion of PI in b 20.006 * [backup-simplify]: Simplify PI into PI 20.006 * [taylor]: Taking taylor expansion of (pow b 2) in b 20.006 * [taylor]: Taking taylor expansion of b in b 20.006 * [backup-simplify]: Simplify 0 into 0 20.006 * [backup-simplify]: Simplify 1 into 1 20.007 * [backup-simplify]: Simplify (* 1 1) into 1 20.007 * [backup-simplify]: Simplify (/ PI 1) into PI 20.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.011 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.011 * [backup-simplify]: Simplify 0 into 0 20.012 * [backup-simplify]: Simplify (* (- PI) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1 (/ PI (* a b))) 20.012 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 20.012 * [backup-simplify]: Simplify (/ (+ a b) (- (/ 1 a) (/ 1 b))) into (/ (+ a b) (- (/ 1 a) (/ 1 b))) 20.012 * [approximate]: Taking taylor expansion of (/ (+ a b) (- (/ 1 a) (/ 1 b))) in (a b) around 0 20.012 * [taylor]: Taking taylor expansion of (/ (+ a b) (- (/ 1 a) (/ 1 b))) in b 20.012 * [taylor]: Taking taylor expansion of (+ a b) in b 20.012 * [taylor]: Taking taylor expansion of a in b 20.012 * [backup-simplify]: Simplify a into a 20.012 * [taylor]: Taking taylor expansion of b in b 20.012 * [backup-simplify]: Simplify 0 into 0 20.012 * [backup-simplify]: Simplify 1 into 1 20.012 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 20.012 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.012 * [taylor]: Taking taylor expansion of a in b 20.012 * [backup-simplify]: Simplify a into a 20.012 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.012 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.012 * [taylor]: Taking taylor expansion of b in b 20.012 * [backup-simplify]: Simplify 0 into 0 20.012 * [backup-simplify]: Simplify 1 into 1 20.012 * [backup-simplify]: Simplify (/ 1 1) into 1 20.013 * [backup-simplify]: Simplify (+ a 0) into a 20.013 * [backup-simplify]: Simplify (- 1) into -1 20.013 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.013 * [backup-simplify]: Simplify (/ a -1) into (* -1 a) 20.013 * [taylor]: Taking taylor expansion of (/ (+ a b) (- (/ 1 a) (/ 1 b))) in a 20.013 * [taylor]: Taking taylor expansion of (+ a b) in a 20.013 * [taylor]: Taking taylor expansion of a in a 20.013 * [backup-simplify]: Simplify 0 into 0 20.013 * [backup-simplify]: Simplify 1 into 1 20.013 * [taylor]: Taking taylor expansion of b in a 20.013 * [backup-simplify]: Simplify b into b 20.013 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 20.013 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.013 * [taylor]: Taking taylor expansion of a in a 20.013 * [backup-simplify]: Simplify 0 into 0 20.013 * [backup-simplify]: Simplify 1 into 1 20.014 * [backup-simplify]: Simplify (/ 1 1) into 1 20.014 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.014 * [taylor]: Taking taylor expansion of b in a 20.014 * [backup-simplify]: Simplify b into b 20.014 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.014 * [backup-simplify]: Simplify (+ 0 b) into b 20.014 * [backup-simplify]: Simplify (+ 1 0) into 1 20.014 * [backup-simplify]: Simplify (/ b 1) into b 20.014 * [taylor]: Taking taylor expansion of (/ (+ a b) (- (/ 1 a) (/ 1 b))) in a 20.014 * [taylor]: Taking taylor expansion of (+ a b) in a 20.014 * [taylor]: Taking taylor expansion of a in a 20.014 * [backup-simplify]: Simplify 0 into 0 20.014 * [backup-simplify]: Simplify 1 into 1 20.014 * [taylor]: Taking taylor expansion of b in a 20.014 * [backup-simplify]: Simplify b into b 20.014 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 20.014 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.014 * [taylor]: Taking taylor expansion of a in a 20.014 * [backup-simplify]: Simplify 0 into 0 20.014 * [backup-simplify]: Simplify 1 into 1 20.014 * [backup-simplify]: Simplify (/ 1 1) into 1 20.014 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.014 * [taylor]: Taking taylor expansion of b in a 20.015 * [backup-simplify]: Simplify b into b 20.015 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.015 * [backup-simplify]: Simplify (+ 0 b) into b 20.015 * [backup-simplify]: Simplify (+ 1 0) into 1 20.015 * [backup-simplify]: Simplify (/ b 1) into b 20.015 * [taylor]: Taking taylor expansion of b in b 20.015 * [backup-simplify]: Simplify 0 into 0 20.015 * [backup-simplify]: Simplify 1 into 1 20.015 * [backup-simplify]: Simplify 1 into 1 20.015 * [backup-simplify]: Simplify (+ 1 0) into 1 20.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.016 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 20.016 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 20.016 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* b (/ (- (/ 1 b)) 1)))) into 2 20.016 * [taylor]: Taking taylor expansion of 2 in b 20.016 * [backup-simplify]: Simplify 2 into 2 20.016 * [backup-simplify]: Simplify 0 into 0 20.016 * [backup-simplify]: Simplify 0 into 0 20.017 * [backup-simplify]: Simplify (+ 0 0) into 0 20.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 20.017 * [backup-simplify]: Simplify (- 0) into 0 20.018 * [backup-simplify]: Simplify (+ 0 0) into 0 20.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 2 (/ (- (/ 1 b)) 1)))) into (* 2 (/ 1 b)) 20.018 * [taylor]: Taking taylor expansion of (* 2 (/ 1 b)) in b 20.018 * [taylor]: Taking taylor expansion of 2 in b 20.018 * [backup-simplify]: Simplify 2 into 2 20.018 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.018 * [taylor]: Taking taylor expansion of b in b 20.018 * [backup-simplify]: Simplify 0 into 0 20.018 * [backup-simplify]: Simplify 1 into 1 20.019 * [backup-simplify]: Simplify (/ 1 1) into 1 20.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.020 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 20.020 * [backup-simplify]: Simplify 0 into 0 20.020 * [backup-simplify]: Simplify 0 into 0 20.020 * [backup-simplify]: Simplify 0 into 0 20.021 * [backup-simplify]: Simplify (+ 0 0) into 0 20.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 20.021 * [backup-simplify]: Simplify (- 0) into 0 20.022 * [backup-simplify]: Simplify (+ 0 0) into 0 20.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* b (/ 0 1)) (* 2 (/ 0 1)) (* (* 2 (/ 1 b)) (/ (- (/ 1 b)) 1)))) into (* 2 (/ 1 (pow b 2))) 20.023 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b 20.023 * [taylor]: Taking taylor expansion of 2 in b 20.023 * [backup-simplify]: Simplify 2 into 2 20.023 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 20.023 * [taylor]: Taking taylor expansion of (pow b 2) in b 20.023 * [taylor]: Taking taylor expansion of b in b 20.023 * [backup-simplify]: Simplify 0 into 0 20.023 * [backup-simplify]: Simplify 1 into 1 20.023 * [backup-simplify]: Simplify (* 1 1) into 1 20.023 * [backup-simplify]: Simplify (/ 1 1) into 1 20.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.027 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.027 * [backup-simplify]: Simplify 0 into 0 20.027 * [backup-simplify]: Simplify (* 1 (* b a)) into (* a b) 20.027 * [backup-simplify]: Simplify (/ (+ (/ 1 a) (/ 1 b)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) into (/ (+ (/ 1 a) (/ 1 b)) (- a b)) 20.027 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (- a b)) in (a b) around 0 20.027 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (- a b)) in b 20.027 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.027 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.027 * [taylor]: Taking taylor expansion of a in b 20.027 * [backup-simplify]: Simplify a into a 20.028 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.028 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.028 * [taylor]: Taking taylor expansion of b in b 20.028 * [backup-simplify]: Simplify 0 into 0 20.028 * [backup-simplify]: Simplify 1 into 1 20.028 * [backup-simplify]: Simplify (/ 1 1) into 1 20.028 * [taylor]: Taking taylor expansion of (- a b) in b 20.028 * [taylor]: Taking taylor expansion of a in b 20.028 * [backup-simplify]: Simplify a into a 20.028 * [taylor]: Taking taylor expansion of b in b 20.028 * [backup-simplify]: Simplify 0 into 0 20.028 * [backup-simplify]: Simplify 1 into 1 20.028 * [backup-simplify]: Simplify (+ 0 1) into 1 20.028 * [backup-simplify]: Simplify (- 0) into 0 20.028 * [backup-simplify]: Simplify (+ a 0) into a 20.029 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.029 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (- a b)) in a 20.029 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.029 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.029 * [taylor]: Taking taylor expansion of a in a 20.029 * [backup-simplify]: Simplify 0 into 0 20.029 * [backup-simplify]: Simplify 1 into 1 20.029 * [backup-simplify]: Simplify (/ 1 1) into 1 20.029 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.029 * [taylor]: Taking taylor expansion of b in a 20.029 * [backup-simplify]: Simplify b into b 20.029 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.029 * [taylor]: Taking taylor expansion of (- a b) in a 20.029 * [taylor]: Taking taylor expansion of a in a 20.029 * [backup-simplify]: Simplify 0 into 0 20.029 * [backup-simplify]: Simplify 1 into 1 20.029 * [taylor]: Taking taylor expansion of b in a 20.029 * [backup-simplify]: Simplify b into b 20.029 * [backup-simplify]: Simplify (+ 1 0) into 1 20.029 * [backup-simplify]: Simplify (- b) into (- b) 20.029 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 20.029 * [backup-simplify]: Simplify (/ 1 (- b)) into (/ -1 b) 20.029 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (- a b)) in a 20.030 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.030 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.030 * [taylor]: Taking taylor expansion of a in a 20.030 * [backup-simplify]: Simplify 0 into 0 20.030 * [backup-simplify]: Simplify 1 into 1 20.030 * [backup-simplify]: Simplify (/ 1 1) into 1 20.030 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.030 * [taylor]: Taking taylor expansion of b in a 20.030 * [backup-simplify]: Simplify b into b 20.030 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.030 * [taylor]: Taking taylor expansion of (- a b) in a 20.030 * [taylor]: Taking taylor expansion of a in a 20.030 * [backup-simplify]: Simplify 0 into 0 20.030 * [backup-simplify]: Simplify 1 into 1 20.030 * [taylor]: Taking taylor expansion of b in a 20.030 * [backup-simplify]: Simplify b into b 20.030 * [backup-simplify]: Simplify (+ 1 0) into 1 20.030 * [backup-simplify]: Simplify (- b) into (- b) 20.030 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 20.030 * [backup-simplify]: Simplify (/ 1 (- b)) into (/ -1 b) 20.031 * [taylor]: Taking taylor expansion of (/ -1 b) in b 20.031 * [taylor]: Taking taylor expansion of -1 in b 20.031 * [backup-simplify]: Simplify -1 into -1 20.031 * [taylor]: Taking taylor expansion of b in b 20.031 * [backup-simplify]: Simplify 0 into 0 20.031 * [backup-simplify]: Simplify 1 into 1 20.031 * [backup-simplify]: Simplify (/ -1 1) into -1 20.031 * [backup-simplify]: Simplify -1 into -1 20.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.032 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 20.032 * [backup-simplify]: Simplify (- 0) into 0 20.033 * [backup-simplify]: Simplify (+ 1 0) into 1 20.033 * [backup-simplify]: Simplify (- (/ (/ 1 b) (- b)) (+ (* (/ -1 b) (/ 1 (- b))))) into (- (* 2 (/ 1 (pow b 2)))) 20.033 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow b 2)))) in b 20.033 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b 20.033 * [taylor]: Taking taylor expansion of 2 in b 20.033 * [backup-simplify]: Simplify 2 into 2 20.033 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 20.033 * [taylor]: Taking taylor expansion of (pow b 2) in b 20.033 * [taylor]: Taking taylor expansion of b in b 20.033 * [backup-simplify]: Simplify 0 into 0 20.033 * [backup-simplify]: Simplify 1 into 1 20.034 * [backup-simplify]: Simplify (* 1 1) into 1 20.034 * [backup-simplify]: Simplify (/ 1 1) into 1 20.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.036 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 20.037 * [backup-simplify]: Simplify (- 0) into 0 20.037 * [backup-simplify]: Simplify 0 into 0 20.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.038 * [backup-simplify]: Simplify 0 into 0 20.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 20.039 * [backup-simplify]: Simplify (+ 0 0) into 0 20.039 * [backup-simplify]: Simplify (- 0) into 0 20.040 * [backup-simplify]: Simplify (+ 0 0) into 0 20.040 * [backup-simplify]: Simplify (- (/ 0 (- b)) (+ (* (/ -1 b) (/ 0 (- b))) (* (- (* 2 (/ 1 (pow b 2)))) (/ 1 (- b))))) into (- (* 2 (/ 1 (pow b 3)))) 20.040 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow b 3)))) in b 20.040 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow b 3))) in b 20.040 * [taylor]: Taking taylor expansion of 2 in b 20.040 * [backup-simplify]: Simplify 2 into 2 20.040 * [taylor]: Taking taylor expansion of (/ 1 (pow b 3)) in b 20.040 * [taylor]: Taking taylor expansion of (pow b 3) in b 20.040 * [taylor]: Taking taylor expansion of b in b 20.041 * [backup-simplify]: Simplify 0 into 0 20.041 * [backup-simplify]: Simplify 1 into 1 20.041 * [backup-simplify]: Simplify (* 1 1) into 1 20.041 * [backup-simplify]: Simplify (* 1 1) into 1 20.042 * [backup-simplify]: Simplify (/ 1 1) into 1 20.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.048 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 20.048 * [backup-simplify]: Simplify (- 0) into 0 20.048 * [backup-simplify]: Simplify 0 into 0 20.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.051 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 20.052 * [backup-simplify]: Simplify (- 0) into 0 20.052 * [backup-simplify]: Simplify 0 into 0 20.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.053 * [backup-simplify]: Simplify 0 into 0 20.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 20.054 * [backup-simplify]: Simplify (+ 0 0) into 0 20.055 * [backup-simplify]: Simplify (- 0) into 0 20.055 * [backup-simplify]: Simplify (+ 0 0) into 0 20.056 * [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)))) 20.056 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow b 4)))) in b 20.056 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow b 4))) in b 20.056 * [taylor]: Taking taylor expansion of 2 in b 20.056 * [backup-simplify]: Simplify 2 into 2 20.056 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 20.056 * [taylor]: Taking taylor expansion of (pow b 4) in b 20.056 * [taylor]: Taking taylor expansion of b in b 20.056 * [backup-simplify]: Simplify 0 into 0 20.056 * [backup-simplify]: Simplify 1 into 1 20.056 * [backup-simplify]: Simplify (* 1 1) into 1 20.057 * [backup-simplify]: Simplify (* 1 1) into 1 20.057 * [backup-simplify]: Simplify (/ 1 1) into 1 20.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.067 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.067 * [backup-simplify]: Simplify (- 0) into 0 20.067 * [backup-simplify]: Simplify 0 into 0 20.067 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a)))) into (* -1 (* a b)) 20.068 * [backup-simplify]: Simplify (/ (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) into (* -1 (/ (+ (/ 1 a) (/ 1 b)) (- b a))) 20.068 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 a) (/ 1 b)) (- b a))) in (a b) around 0 20.068 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 a) (/ 1 b)) (- b a))) in b 20.068 * [taylor]: Taking taylor expansion of -1 in b 20.068 * [backup-simplify]: Simplify -1 into -1 20.068 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (- b a)) in b 20.068 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.068 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.068 * [taylor]: Taking taylor expansion of a in b 20.068 * [backup-simplify]: Simplify a into a 20.068 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.068 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.068 * [taylor]: Taking taylor expansion of b in b 20.068 * [backup-simplify]: Simplify 0 into 0 20.068 * [backup-simplify]: Simplify 1 into 1 20.069 * [backup-simplify]: Simplify (/ 1 1) into 1 20.069 * [taylor]: Taking taylor expansion of (- b a) in b 20.069 * [taylor]: Taking taylor expansion of b in b 20.069 * [backup-simplify]: Simplify 0 into 0 20.069 * [backup-simplify]: Simplify 1 into 1 20.069 * [taylor]: Taking taylor expansion of a in b 20.069 * [backup-simplify]: Simplify a into a 20.069 * [backup-simplify]: Simplify (+ 0 1) into 1 20.069 * [backup-simplify]: Simplify (- a) into (- a) 20.069 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 20.069 * [backup-simplify]: Simplify (/ 1 (- a)) into (/ -1 a) 20.069 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 a) (/ 1 b)) (- b a))) in a 20.069 * [taylor]: Taking taylor expansion of -1 in a 20.070 * [backup-simplify]: Simplify -1 into -1 20.070 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (- b a)) in a 20.070 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.070 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.070 * [taylor]: Taking taylor expansion of a in a 20.070 * [backup-simplify]: Simplify 0 into 0 20.070 * [backup-simplify]: Simplify 1 into 1 20.070 * [backup-simplify]: Simplify (/ 1 1) into 1 20.070 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.070 * [taylor]: Taking taylor expansion of b in a 20.070 * [backup-simplify]: Simplify b into b 20.070 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.070 * [taylor]: Taking taylor expansion of (- b a) in a 20.070 * [taylor]: Taking taylor expansion of b in a 20.070 * [backup-simplify]: Simplify b into b 20.070 * [taylor]: Taking taylor expansion of a in a 20.070 * [backup-simplify]: Simplify 0 into 0 20.070 * [backup-simplify]: Simplify 1 into 1 20.071 * [backup-simplify]: Simplify (+ 1 0) into 1 20.071 * [backup-simplify]: Simplify (- 0) into 0 20.071 * [backup-simplify]: Simplify (+ b 0) into b 20.071 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.071 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 a) (/ 1 b)) (- b a))) in a 20.071 * [taylor]: Taking taylor expansion of -1 in a 20.071 * [backup-simplify]: Simplify -1 into -1 20.071 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) (- b a)) in a 20.071 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.071 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.071 * [taylor]: Taking taylor expansion of a in a 20.072 * [backup-simplify]: Simplify 0 into 0 20.072 * [backup-simplify]: Simplify 1 into 1 20.072 * [backup-simplify]: Simplify (/ 1 1) into 1 20.072 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.072 * [taylor]: Taking taylor expansion of b in a 20.072 * [backup-simplify]: Simplify b into b 20.072 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.072 * [taylor]: Taking taylor expansion of (- b a) in a 20.072 * [taylor]: Taking taylor expansion of b in a 20.072 * [backup-simplify]: Simplify b into b 20.072 * [taylor]: Taking taylor expansion of a in a 20.072 * [backup-simplify]: Simplify 0 into 0 20.072 * [backup-simplify]: Simplify 1 into 1 20.073 * [backup-simplify]: Simplify (+ 1 0) into 1 20.073 * [backup-simplify]: Simplify (- 0) into 0 20.073 * [backup-simplify]: Simplify (+ b 0) into b 20.073 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.074 * [backup-simplify]: Simplify (* -1 (/ 1 b)) into (/ -1 b) 20.074 * [taylor]: Taking taylor expansion of (/ -1 b) in b 20.074 * [taylor]: Taking taylor expansion of -1 in b 20.074 * [backup-simplify]: Simplify -1 into -1 20.074 * [taylor]: Taking taylor expansion of b in b 20.074 * [backup-simplify]: Simplify 0 into 0 20.074 * [backup-simplify]: Simplify 1 into 1 20.075 * [backup-simplify]: Simplify (/ -1 1) into -1 20.075 * [backup-simplify]: Simplify -1 into -1 20.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.076 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 20.076 * [backup-simplify]: Simplify (- 1) into -1 20.077 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.077 * [backup-simplify]: Simplify (- (/ (/ 1 b) b) (+ (* (/ 1 b) (/ -1 b)))) into (* 2 (/ 1 (pow b 2))) 20.077 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow b 2)))) (* 0 (/ 1 b))) into (- (* 2 (/ 1 (pow b 2)))) 20.077 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow b 2)))) in b 20.077 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow b 2))) in b 20.077 * [taylor]: Taking taylor expansion of 2 in b 20.077 * [backup-simplify]: Simplify 2 into 2 20.077 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 20.077 * [taylor]: Taking taylor expansion of (pow b 2) in b 20.077 * [taylor]: Taking taylor expansion of b in b 20.077 * [backup-simplify]: Simplify 0 into 0 20.077 * [backup-simplify]: Simplify 1 into 1 20.078 * [backup-simplify]: Simplify (* 1 1) into 1 20.078 * [backup-simplify]: Simplify (/ 1 1) into 1 20.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.080 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 20.081 * [backup-simplify]: Simplify (- 0) into 0 20.081 * [backup-simplify]: Simplify 0 into 0 20.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 20.082 * [backup-simplify]: Simplify 0 into 0 20.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 20.083 * [backup-simplify]: Simplify (+ 0 0) into 0 20.083 * [backup-simplify]: Simplify (- 0) into 0 20.084 * [backup-simplify]: Simplify (+ 0 0) into 0 20.084 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1 b) (/ 0 b)) (* (* 2 (/ 1 (pow b 2))) (/ -1 b)))) into (* 2 (/ 1 (pow b 3))) 20.085 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow b 3)))) (+ (* 0 (* 2 (/ 1 (pow b 2)))) (* 0 (/ 1 b)))) into (- (* 2 (/ 1 (pow b 3)))) 20.085 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow b 3)))) in b 20.085 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow b 3))) in b 20.085 * [taylor]: Taking taylor expansion of 2 in b 20.085 * [backup-simplify]: Simplify 2 into 2 20.085 * [taylor]: Taking taylor expansion of (/ 1 (pow b 3)) in b 20.085 * [taylor]: Taking taylor expansion of (pow b 3) in b 20.085 * [taylor]: Taking taylor expansion of b in b 20.085 * [backup-simplify]: Simplify 0 into 0 20.085 * [backup-simplify]: Simplify 1 into 1 20.085 * [backup-simplify]: Simplify (* 1 1) into 1 20.086 * [backup-simplify]: Simplify (* 1 1) into 1 20.086 * [backup-simplify]: Simplify (/ 1 1) into 1 20.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.092 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 20.092 * [backup-simplify]: Simplify (- 0) into 0 20.092 * [backup-simplify]: Simplify 0 into 0 20.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.095 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 20.096 * [backup-simplify]: Simplify (- 0) into 0 20.096 * [backup-simplify]: Simplify 0 into 0 20.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.097 * [backup-simplify]: Simplify 0 into 0 20.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 20.099 * [backup-simplify]: Simplify (+ 0 0) into 0 20.099 * [backup-simplify]: Simplify (- 0) into 0 20.100 * [backup-simplify]: Simplify (+ 0 0) into 0 20.100 * [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))) 20.101 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow b 4)))) (+ (* 0 (* 2 (/ 1 (pow b 3)))) (+ (* 0 (* 2 (/ 1 (pow b 2)))) (* 0 (/ 1 b))))) into (- (* 2 (/ 1 (pow b 4)))) 20.101 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow b 4)))) in b 20.101 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow b 4))) in b 20.101 * [taylor]: Taking taylor expansion of 2 in b 20.101 * [backup-simplify]: Simplify 2 into 2 20.101 * [taylor]: Taking taylor expansion of (/ 1 (pow b 4)) in b 20.101 * [taylor]: Taking taylor expansion of (pow b 4) in b 20.101 * [taylor]: Taking taylor expansion of b in b 20.101 * [backup-simplify]: Simplify 0 into 0 20.101 * [backup-simplify]: Simplify 1 into 1 20.101 * [backup-simplify]: Simplify (* 1 1) into 1 20.102 * [backup-simplify]: Simplify (* 1 1) into 1 20.102 * [backup-simplify]: Simplify (/ 1 1) into 1 20.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.118 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.119 * [backup-simplify]: Simplify (- 0) into 0 20.119 * [backup-simplify]: Simplify 0 into 0 20.119 * [backup-simplify]: Simplify (* -1 (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a))))) into (* -1 (* a b)) 20.119 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 20.119 * [backup-simplify]: Simplify (/ (/ PI (/ (+ a b) (- (/ 1 a) (/ 1 b)))) (- b a)) into (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) 20.119 * [approximate]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in (a b) around 0 20.119 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in b 20.119 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 20.119 * [taylor]: Taking taylor expansion of PI in b 20.119 * [backup-simplify]: Simplify PI into PI 20.119 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 20.119 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.119 * [taylor]: Taking taylor expansion of a in b 20.119 * [backup-simplify]: Simplify a into a 20.120 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.120 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.120 * [taylor]: Taking taylor expansion of b in b 20.120 * [backup-simplify]: Simplify 0 into 0 20.120 * [backup-simplify]: Simplify 1 into 1 20.120 * [backup-simplify]: Simplify (/ 1 1) into 1 20.120 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 20.120 * [taylor]: Taking taylor expansion of (+ a b) in b 20.120 * [taylor]: Taking taylor expansion of a in b 20.120 * [backup-simplify]: Simplify a into a 20.120 * [taylor]: Taking taylor expansion of b in b 20.120 * [backup-simplify]: Simplify 0 into 0 20.120 * [backup-simplify]: Simplify 1 into 1 20.120 * [taylor]: Taking taylor expansion of (- b a) in b 20.120 * [taylor]: Taking taylor expansion of b in b 20.120 * [backup-simplify]: Simplify 0 into 0 20.120 * [backup-simplify]: Simplify 1 into 1 20.120 * [taylor]: Taking taylor expansion of a in b 20.120 * [backup-simplify]: Simplify a into a 20.121 * [backup-simplify]: Simplify (- 1) into -1 20.121 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.122 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 20.122 * [backup-simplify]: Simplify (+ a 0) into a 20.122 * [backup-simplify]: Simplify (- a) into (- a) 20.122 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 20.122 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 20.123 * [backup-simplify]: Simplify (/ (* -1 PI) (* -1 (pow a 2))) into (/ PI (pow a 2)) 20.123 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in a 20.123 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 20.123 * [taylor]: Taking taylor expansion of PI in a 20.123 * [backup-simplify]: Simplify PI into PI 20.123 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 20.123 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.123 * [taylor]: Taking taylor expansion of a in a 20.123 * [backup-simplify]: Simplify 0 into 0 20.123 * [backup-simplify]: Simplify 1 into 1 20.123 * [backup-simplify]: Simplify (/ 1 1) into 1 20.123 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.123 * [taylor]: Taking taylor expansion of b in a 20.123 * [backup-simplify]: Simplify b into b 20.123 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.123 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 20.123 * [taylor]: Taking taylor expansion of (+ a b) in a 20.123 * [taylor]: Taking taylor expansion of a in a 20.123 * [backup-simplify]: Simplify 0 into 0 20.123 * [backup-simplify]: Simplify 1 into 1 20.123 * [taylor]: Taking taylor expansion of b in a 20.124 * [backup-simplify]: Simplify b into b 20.124 * [taylor]: Taking taylor expansion of (- b a) in a 20.124 * [taylor]: Taking taylor expansion of b in a 20.124 * [backup-simplify]: Simplify b into b 20.124 * [taylor]: Taking taylor expansion of a in a 20.124 * [backup-simplify]: Simplify 0 into 0 20.124 * [backup-simplify]: Simplify 1 into 1 20.124 * [backup-simplify]: Simplify (+ 1 0) into 1 20.125 * [backup-simplify]: Simplify (* PI 1) into PI 20.125 * [backup-simplify]: Simplify (+ 0 b) into b 20.125 * [backup-simplify]: Simplify (- 0) into 0 20.125 * [backup-simplify]: Simplify (+ b 0) into b 20.125 * [backup-simplify]: Simplify (* b b) into (pow b 2) 20.125 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 20.125 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (* (+ a b) (- b a))) in a 20.125 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 20.125 * [taylor]: Taking taylor expansion of PI in a 20.125 * [backup-simplify]: Simplify PI into PI 20.125 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 20.125 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.125 * [taylor]: Taking taylor expansion of a in a 20.125 * [backup-simplify]: Simplify 0 into 0 20.125 * [backup-simplify]: Simplify 1 into 1 20.126 * [backup-simplify]: Simplify (/ 1 1) into 1 20.126 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.126 * [taylor]: Taking taylor expansion of b in a 20.126 * [backup-simplify]: Simplify b into b 20.126 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.126 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 20.126 * [taylor]: Taking taylor expansion of (+ a b) in a 20.126 * [taylor]: Taking taylor expansion of a in a 20.126 * [backup-simplify]: Simplify 0 into 0 20.126 * [backup-simplify]: Simplify 1 into 1 20.126 * [taylor]: Taking taylor expansion of b in a 20.126 * [backup-simplify]: Simplify b into b 20.126 * [taylor]: Taking taylor expansion of (- b a) in a 20.126 * [taylor]: Taking taylor expansion of b in a 20.126 * [backup-simplify]: Simplify b into b 20.126 * [taylor]: Taking taylor expansion of a in a 20.126 * [backup-simplify]: Simplify 0 into 0 20.126 * [backup-simplify]: Simplify 1 into 1 20.127 * [backup-simplify]: Simplify (+ 1 0) into 1 20.127 * [backup-simplify]: Simplify (* PI 1) into PI 20.127 * [backup-simplify]: Simplify (+ 0 b) into b 20.128 * [backup-simplify]: Simplify (- 0) into 0 20.128 * [backup-simplify]: Simplify (+ b 0) into b 20.128 * [backup-simplify]: Simplify (* b b) into (pow b 2) 20.128 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 20.128 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 20.128 * [taylor]: Taking taylor expansion of PI in b 20.128 * [backup-simplify]: Simplify PI into PI 20.128 * [taylor]: Taking taylor expansion of (pow b 2) in b 20.128 * [taylor]: Taking taylor expansion of b in b 20.128 * [backup-simplify]: Simplify 0 into 0 20.128 * [backup-simplify]: Simplify 1 into 1 20.129 * [backup-simplify]: Simplify (* 1 1) into 1 20.129 * [backup-simplify]: Simplify (/ PI 1) into PI 20.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.131 * [backup-simplify]: Simplify 0 into 0 20.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.132 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 20.132 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 20.132 * [backup-simplify]: Simplify (+ (* PI (- (/ 1 b))) (* 0 1)) into (- (/ PI b)) 20.133 * [backup-simplify]: Simplify (- 1) into -1 20.133 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.134 * [backup-simplify]: Simplify (+ 1 0) into 1 20.134 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 20.134 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into (- (/ PI (pow b 3))) 20.134 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 3))) in b 20.134 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 20.134 * [taylor]: Taking taylor expansion of PI in b 20.134 * [backup-simplify]: Simplify PI into PI 20.134 * [taylor]: Taking taylor expansion of (pow b 3) in b 20.134 * [taylor]: Taking taylor expansion of b in b 20.134 * [backup-simplify]: Simplify 0 into 0 20.134 * [backup-simplify]: Simplify 1 into 1 20.135 * [backup-simplify]: Simplify (* 1 1) into 1 20.135 * [backup-simplify]: Simplify (* 1 1) into 1 20.136 * [backup-simplify]: Simplify (/ PI 1) into PI 20.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.141 * [backup-simplify]: Simplify (- 0) into 0 20.141 * [backup-simplify]: Simplify 0 into 0 20.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.143 * [backup-simplify]: Simplify 0 into 0 20.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 20.145 * [backup-simplify]: Simplify (- 0) into 0 20.145 * [backup-simplify]: Simplify (+ 0 0) into 0 20.146 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (- (/ 1 b))) (* 0 1))) into 0 20.146 * [backup-simplify]: Simplify (- 0) into 0 20.147 * [backup-simplify]: Simplify (+ 0 0) into 0 20.147 * [backup-simplify]: Simplify (+ 0 0) into 0 20.148 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 20.148 * [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)) 20.149 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 20.149 * [taylor]: Taking taylor expansion of PI in b 20.149 * [backup-simplify]: Simplify PI into PI 20.149 * [taylor]: Taking taylor expansion of (pow b 4) in b 20.149 * [taylor]: Taking taylor expansion of b in b 20.149 * [backup-simplify]: Simplify 0 into 0 20.149 * [backup-simplify]: Simplify 1 into 1 20.149 * [backup-simplify]: Simplify (* 1 1) into 1 20.150 * [backup-simplify]: Simplify (* 1 1) into 1 20.150 * [backup-simplify]: Simplify (/ PI 1) into PI 20.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.159 * [backup-simplify]: Simplify 0 into 0 20.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.162 * [backup-simplify]: Simplify (- 0) into 0 20.162 * [backup-simplify]: Simplify 0 into 0 20.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.165 * [backup-simplify]: Simplify 0 into 0 20.165 * [backup-simplify]: Simplify 0 into 0 20.165 * [backup-simplify]: Simplify (/ (/ PI (/ (+ (/ 1 a) (/ 1 b)) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) (- (/ 1 b) (/ 1 a))) into (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) 20.165 * [approximate]: Taking taylor expansion of (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in (a b) around 0 20.165 * [taylor]: Taking taylor expansion of (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 20.165 * [taylor]: Taking taylor expansion of (* PI (- a b)) in b 20.165 * [taylor]: Taking taylor expansion of PI in b 20.165 * [backup-simplify]: Simplify PI into PI 20.165 * [taylor]: Taking taylor expansion of (- a b) in b 20.165 * [taylor]: Taking taylor expansion of a in b 20.165 * [backup-simplify]: Simplify a into a 20.165 * [taylor]: Taking taylor expansion of b in b 20.165 * [backup-simplify]: Simplify 0 into 0 20.165 * [backup-simplify]: Simplify 1 into 1 20.165 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 20.165 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.165 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.166 * [taylor]: Taking taylor expansion of a in b 20.166 * [backup-simplify]: Simplify a into a 20.166 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.166 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.166 * [taylor]: Taking taylor expansion of b in b 20.166 * [backup-simplify]: Simplify 0 into 0 20.166 * [backup-simplify]: Simplify 1 into 1 20.166 * [backup-simplify]: Simplify (/ 1 1) into 1 20.166 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 20.166 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.166 * [taylor]: Taking taylor expansion of b in b 20.166 * [backup-simplify]: Simplify 0 into 0 20.166 * [backup-simplify]: Simplify 1 into 1 20.167 * [backup-simplify]: Simplify (/ 1 1) into 1 20.167 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.167 * [taylor]: Taking taylor expansion of a in b 20.167 * [backup-simplify]: Simplify a into a 20.167 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.167 * [backup-simplify]: Simplify (- 0) into 0 20.167 * [backup-simplify]: Simplify (+ a 0) into a 20.167 * [backup-simplify]: Simplify (* PI a) into (* a PI) 20.168 * [backup-simplify]: Simplify (+ 0 1) into 1 20.168 * [backup-simplify]: Simplify (+ 1 0) into 1 20.169 * [backup-simplify]: Simplify (* 1 1) into 1 20.169 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 20.169 * [taylor]: Taking taylor expansion of (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 20.169 * [taylor]: Taking taylor expansion of (* PI (- a b)) in a 20.169 * [taylor]: Taking taylor expansion of PI in a 20.169 * [backup-simplify]: Simplify PI into PI 20.169 * [taylor]: Taking taylor expansion of (- a b) in a 20.169 * [taylor]: Taking taylor expansion of a in a 20.169 * [backup-simplify]: Simplify 0 into 0 20.169 * [backup-simplify]: Simplify 1 into 1 20.169 * [taylor]: Taking taylor expansion of b in a 20.169 * [backup-simplify]: Simplify b into b 20.169 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 20.169 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.169 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.169 * [taylor]: Taking taylor expansion of a in a 20.169 * [backup-simplify]: Simplify 0 into 0 20.169 * [backup-simplify]: Simplify 1 into 1 20.169 * [backup-simplify]: Simplify (/ 1 1) into 1 20.169 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.169 * [taylor]: Taking taylor expansion of b in a 20.170 * [backup-simplify]: Simplify b into b 20.170 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.170 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 20.170 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.170 * [taylor]: Taking taylor expansion of b in a 20.170 * [backup-simplify]: Simplify b into b 20.170 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.170 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.170 * [taylor]: Taking taylor expansion of a in a 20.170 * [backup-simplify]: Simplify 0 into 0 20.170 * [backup-simplify]: Simplify 1 into 1 20.170 * [backup-simplify]: Simplify (/ 1 1) into 1 20.170 * [backup-simplify]: Simplify (- b) into (- b) 20.170 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 20.170 * [backup-simplify]: Simplify (* PI (- b)) into (* -1 (* b PI)) 20.171 * [backup-simplify]: Simplify (+ 1 0) into 1 20.171 * [backup-simplify]: Simplify (- 1) into -1 20.172 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.172 * [backup-simplify]: Simplify (* 1 -1) into -1 20.172 * [backup-simplify]: Simplify (/ (* -1 (* b PI)) -1) into (* PI b) 20.172 * [taylor]: Taking taylor expansion of (/ (* PI (- a b)) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 20.172 * [taylor]: Taking taylor expansion of (* PI (- a b)) in a 20.172 * [taylor]: Taking taylor expansion of PI in a 20.172 * [backup-simplify]: Simplify PI into PI 20.172 * [taylor]: Taking taylor expansion of (- a b) in a 20.172 * [taylor]: Taking taylor expansion of a in a 20.172 * [backup-simplify]: Simplify 0 into 0 20.172 * [backup-simplify]: Simplify 1 into 1 20.172 * [taylor]: Taking taylor expansion of b in a 20.173 * [backup-simplify]: Simplify b into b 20.173 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 20.173 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.173 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.173 * [taylor]: Taking taylor expansion of a in a 20.173 * [backup-simplify]: Simplify 0 into 0 20.173 * [backup-simplify]: Simplify 1 into 1 20.173 * [backup-simplify]: Simplify (/ 1 1) into 1 20.173 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.173 * [taylor]: Taking taylor expansion of b in a 20.173 * [backup-simplify]: Simplify b into b 20.173 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.173 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 20.173 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.173 * [taylor]: Taking taylor expansion of b in a 20.173 * [backup-simplify]: Simplify b into b 20.173 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.173 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.173 * [taylor]: Taking taylor expansion of a in a 20.173 * [backup-simplify]: Simplify 0 into 0 20.173 * [backup-simplify]: Simplify 1 into 1 20.174 * [backup-simplify]: Simplify (/ 1 1) into 1 20.174 * [backup-simplify]: Simplify (- b) into (- b) 20.174 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 20.174 * [backup-simplify]: Simplify (* PI (- b)) into (* -1 (* b PI)) 20.174 * [backup-simplify]: Simplify (+ 1 0) into 1 20.175 * [backup-simplify]: Simplify (- 1) into -1 20.175 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.176 * [backup-simplify]: Simplify (* 1 -1) into -1 20.176 * [backup-simplify]: Simplify (/ (* -1 (* b PI)) -1) into (* PI b) 20.176 * [taylor]: Taking taylor expansion of (* PI b) in b 20.176 * [taylor]: Taking taylor expansion of PI in b 20.176 * [backup-simplify]: Simplify PI into PI 20.176 * [taylor]: Taking taylor expansion of b in b 20.176 * [backup-simplify]: Simplify 0 into 0 20.176 * [backup-simplify]: Simplify 1 into 1 20.177 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 20.177 * [backup-simplify]: Simplify 0 into 0 20.177 * [backup-simplify]: Simplify (- 0) into 0 20.178 * [backup-simplify]: Simplify (+ 1 0) into 1 20.178 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 (- b))) into PI 20.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.179 * [backup-simplify]: Simplify (- 0) into 0 20.179 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 20.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.180 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 20.181 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 20.181 * [backup-simplify]: Simplify (- (/ PI -1) (+ (* (* PI b) (/ 0 -1)))) into (- PI) 20.182 * [taylor]: Taking taylor expansion of (- PI) in b 20.182 * [taylor]: Taking taylor expansion of PI in b 20.182 * [backup-simplify]: Simplify PI into PI 20.182 * [backup-simplify]: Simplify (- 0) into 0 20.182 * [backup-simplify]: Simplify 0 into 0 20.183 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 20.183 * [backup-simplify]: Simplify 0 into 0 20.184 * [backup-simplify]: Simplify (- 0) into 0 20.184 * [backup-simplify]: Simplify (+ 0 0) into 0 20.185 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 (- b)))) into 0 20.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 20.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.186 * [backup-simplify]: Simplify (- 0) into 0 20.187 * [backup-simplify]: Simplify (+ 0 0) into 0 20.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 20.189 * [backup-simplify]: Simplify (+ 0 0) into 0 20.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 20.191 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* PI b) (/ (/ 1 (pow b 2)) -1)) (* (- PI) (/ 0 -1)))) into (/ PI b) 20.191 * [taylor]: Taking taylor expansion of (/ PI b) in b 20.191 * [taylor]: Taking taylor expansion of PI in b 20.191 * [backup-simplify]: Simplify PI into PI 20.191 * [taylor]: Taking taylor expansion of b in b 20.191 * [backup-simplify]: Simplify 0 into 0 20.191 * [backup-simplify]: Simplify 1 into 1 20.192 * [backup-simplify]: Simplify (/ PI 1) into PI 20.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.195 * [backup-simplify]: Simplify 0 into 0 20.195 * [backup-simplify]: Simplify (- 0) into 0 20.195 * [backup-simplify]: Simplify 0 into 0 20.196 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 20.196 * [backup-simplify]: Simplify 0 into 0 20.196 * [backup-simplify]: Simplify 0 into 0 20.197 * [backup-simplify]: Simplify (/ (/ PI (/ (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) (- (/ 1 (- b)) (/ 1 (- a)))) into (* -1 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 20.197 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 20.197 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 20.197 * [taylor]: Taking taylor expansion of -1 in b 20.197 * [backup-simplify]: Simplify -1 into -1 20.197 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 20.197 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 20.197 * [taylor]: Taking taylor expansion of (- b a) in b 20.197 * [taylor]: Taking taylor expansion of b in b 20.197 * [backup-simplify]: Simplify 0 into 0 20.197 * [backup-simplify]: Simplify 1 into 1 20.197 * [taylor]: Taking taylor expansion of a in b 20.197 * [backup-simplify]: Simplify a into a 20.197 * [taylor]: Taking taylor expansion of PI in b 20.197 * [backup-simplify]: Simplify PI into PI 20.197 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 20.197 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.197 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.197 * [taylor]: Taking taylor expansion of a in b 20.197 * [backup-simplify]: Simplify a into a 20.197 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.197 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.197 * [taylor]: Taking taylor expansion of b in b 20.197 * [backup-simplify]: Simplify 0 into 0 20.197 * [backup-simplify]: Simplify 1 into 1 20.198 * [backup-simplify]: Simplify (/ 1 1) into 1 20.198 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 20.198 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.198 * [taylor]: Taking taylor expansion of a in b 20.198 * [backup-simplify]: Simplify a into a 20.198 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.198 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.198 * [taylor]: Taking taylor expansion of b in b 20.198 * [backup-simplify]: Simplify 0 into 0 20.198 * [backup-simplify]: Simplify 1 into 1 20.198 * [backup-simplify]: Simplify (/ 1 1) into 1 20.199 * [backup-simplify]: Simplify (- a) into (- a) 20.199 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 20.199 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 20.199 * [backup-simplify]: Simplify (+ 0 1) into 1 20.199 * [backup-simplify]: Simplify (- 1) into -1 20.200 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.200 * [backup-simplify]: Simplify (* 1 -1) into -1 20.200 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) -1) into (* a PI) 20.200 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 20.200 * [taylor]: Taking taylor expansion of -1 in a 20.200 * [backup-simplify]: Simplify -1 into -1 20.200 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 20.201 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 20.201 * [taylor]: Taking taylor expansion of (- b a) in a 20.201 * [taylor]: Taking taylor expansion of b in a 20.201 * [backup-simplify]: Simplify b into b 20.201 * [taylor]: Taking taylor expansion of a in a 20.201 * [backup-simplify]: Simplify 0 into 0 20.201 * [backup-simplify]: Simplify 1 into 1 20.201 * [taylor]: Taking taylor expansion of PI in a 20.201 * [backup-simplify]: Simplify PI into PI 20.201 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 20.201 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.201 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.201 * [taylor]: Taking taylor expansion of a in a 20.201 * [backup-simplify]: Simplify 0 into 0 20.201 * [backup-simplify]: Simplify 1 into 1 20.201 * [backup-simplify]: Simplify (/ 1 1) into 1 20.201 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.201 * [taylor]: Taking taylor expansion of b in a 20.201 * [backup-simplify]: Simplify b into b 20.201 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.201 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 20.201 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.201 * [taylor]: Taking taylor expansion of a in a 20.201 * [backup-simplify]: Simplify 0 into 0 20.201 * [backup-simplify]: Simplify 1 into 1 20.202 * [backup-simplify]: Simplify (/ 1 1) into 1 20.202 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.202 * [taylor]: Taking taylor expansion of b in a 20.202 * [backup-simplify]: Simplify b into b 20.202 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.202 * [backup-simplify]: Simplify (- 0) into 0 20.202 * [backup-simplify]: Simplify (+ b 0) into b 20.202 * [backup-simplify]: Simplify (* b PI) into (* PI b) 20.203 * [backup-simplify]: Simplify (+ 1 0) into 1 20.203 * [backup-simplify]: Simplify (+ 1 0) into 1 20.204 * [backup-simplify]: Simplify (* 1 1) into 1 20.204 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 20.204 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 20.204 * [taylor]: Taking taylor expansion of -1 in a 20.204 * [backup-simplify]: Simplify -1 into -1 20.204 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 20.204 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 20.204 * [taylor]: Taking taylor expansion of (- b a) in a 20.204 * [taylor]: Taking taylor expansion of b in a 20.204 * [backup-simplify]: Simplify b into b 20.204 * [taylor]: Taking taylor expansion of a in a 20.204 * [backup-simplify]: Simplify 0 into 0 20.204 * [backup-simplify]: Simplify 1 into 1 20.204 * [taylor]: Taking taylor expansion of PI in a 20.204 * [backup-simplify]: Simplify PI into PI 20.204 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 20.204 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.204 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.204 * [taylor]: Taking taylor expansion of a in a 20.204 * [backup-simplify]: Simplify 0 into 0 20.204 * [backup-simplify]: Simplify 1 into 1 20.205 * [backup-simplify]: Simplify (/ 1 1) into 1 20.205 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.205 * [taylor]: Taking taylor expansion of b in a 20.205 * [backup-simplify]: Simplify b into b 20.205 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.205 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 20.205 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.205 * [taylor]: Taking taylor expansion of a in a 20.205 * [backup-simplify]: Simplify 0 into 0 20.205 * [backup-simplify]: Simplify 1 into 1 20.205 * [backup-simplify]: Simplify (/ 1 1) into 1 20.205 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.205 * [taylor]: Taking taylor expansion of b in a 20.205 * [backup-simplify]: Simplify b into b 20.205 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.206 * [backup-simplify]: Simplify (- 0) into 0 20.206 * [backup-simplify]: Simplify (+ b 0) into b 20.206 * [backup-simplify]: Simplify (* b PI) into (* PI b) 20.206 * [backup-simplify]: Simplify (+ 1 0) into 1 20.207 * [backup-simplify]: Simplify (+ 1 0) into 1 20.207 * [backup-simplify]: Simplify (* 1 1) into 1 20.207 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 20.207 * [backup-simplify]: Simplify (* -1 (* PI b)) into (* -1 (* PI b)) 20.207 * [taylor]: Taking taylor expansion of (* -1 (* PI b)) in b 20.207 * [taylor]: Taking taylor expansion of -1 in b 20.207 * [backup-simplify]: Simplify -1 into -1 20.207 * [taylor]: Taking taylor expansion of (* PI b) in b 20.207 * [taylor]: Taking taylor expansion of PI in b 20.207 * [backup-simplify]: Simplify PI into PI 20.207 * [taylor]: Taking taylor expansion of b in b 20.207 * [backup-simplify]: Simplify 0 into 0 20.207 * [backup-simplify]: Simplify 1 into 1 20.208 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 20.210 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 20.211 * [backup-simplify]: Simplify (* PI 0) into 0 20.211 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 20.212 * [backup-simplify]: Simplify 0 into 0 20.212 * [backup-simplify]: Simplify (- 1) into -1 20.212 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.213 * [backup-simplify]: Simplify (+ (* b 0) (* -1 PI)) into (- PI) 20.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.214 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 20.214 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 20.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.214 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 20.215 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 20.215 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* PI b) (/ 0 1)))) into (- PI) 20.216 * [backup-simplify]: Simplify (+ (* -1 (- PI)) (* 0 (* PI b))) into PI 20.216 * [taylor]: Taking taylor expansion of PI in b 20.216 * [backup-simplify]: Simplify PI into PI 20.216 * [backup-simplify]: Simplify 0 into 0 20.217 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 20.217 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 20.217 * [backup-simplify]: Simplify 0 into 0 20.218 * [backup-simplify]: Simplify (- 0) into 0 20.218 * [backup-simplify]: Simplify (+ 0 0) into 0 20.218 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 0) (* 0 PI))) into 0 20.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 20.219 * [backup-simplify]: Simplify (- 0) into 0 20.220 * [backup-simplify]: Simplify (+ 0 0) into 0 20.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 20.220 * [backup-simplify]: Simplify (+ 0 0) into 0 20.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 20.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* (- PI) (/ 0 1)))) into (/ PI b) 20.222 * [backup-simplify]: Simplify (+ (* -1 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (- (/ PI b)) 20.222 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 20.222 * [taylor]: Taking taylor expansion of (/ PI b) in b 20.222 * [taylor]: Taking taylor expansion of PI in b 20.222 * [backup-simplify]: Simplify PI into PI 20.222 * [taylor]: Taking taylor expansion of b in b 20.222 * [backup-simplify]: Simplify 0 into 0 20.222 * [backup-simplify]: Simplify 1 into 1 20.223 * [backup-simplify]: Simplify (/ PI 1) into PI 20.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.225 * [backup-simplify]: Simplify (- 0) into 0 20.225 * [backup-simplify]: Simplify 0 into 0 20.225 * [backup-simplify]: Simplify 0 into 0 20.225 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 20.226 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 20.226 * [backup-simplify]: Simplify 0 into 0 20.226 * [backup-simplify]: Simplify 0 into 0 20.226 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 20.226 * [backup-simplify]: Simplify (- (/ 1 a) (/ 1 b)) into (- (/ 1 a) (/ 1 b)) 20.226 * [approximate]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in (a b) around 0 20.226 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 20.226 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.227 * [taylor]: Taking taylor expansion of a in b 20.227 * [backup-simplify]: Simplify a into a 20.227 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.227 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.227 * [taylor]: Taking taylor expansion of b in b 20.227 * [backup-simplify]: Simplify 0 into 0 20.227 * [backup-simplify]: Simplify 1 into 1 20.227 * [backup-simplify]: Simplify (/ 1 1) into 1 20.227 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 20.227 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.227 * [taylor]: Taking taylor expansion of a in a 20.227 * [backup-simplify]: Simplify 0 into 0 20.227 * [backup-simplify]: Simplify 1 into 1 20.227 * [backup-simplify]: Simplify (/ 1 1) into 1 20.227 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.227 * [taylor]: Taking taylor expansion of b in a 20.227 * [backup-simplify]: Simplify b into b 20.227 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.227 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 20.227 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.227 * [taylor]: Taking taylor expansion of a in a 20.227 * [backup-simplify]: Simplify 0 into 0 20.227 * [backup-simplify]: Simplify 1 into 1 20.228 * [backup-simplify]: Simplify (/ 1 1) into 1 20.228 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.228 * [taylor]: Taking taylor expansion of b in a 20.228 * [backup-simplify]: Simplify b into b 20.228 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.228 * [backup-simplify]: Simplify (+ 1 0) into 1 20.228 * [taylor]: Taking taylor expansion of 1 in b 20.228 * [backup-simplify]: Simplify 1 into 1 20.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.229 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 20.229 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 20.229 * [taylor]: Taking taylor expansion of (- (/ 1 b)) in b 20.229 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.229 * [taylor]: Taking taylor expansion of b in b 20.229 * [backup-simplify]: Simplify 0 into 0 20.229 * [backup-simplify]: Simplify 1 into 1 20.229 * [backup-simplify]: Simplify (/ 1 1) into 1 20.229 * [backup-simplify]: Simplify (- 1) into -1 20.229 * [backup-simplify]: Simplify -1 into -1 20.229 * [backup-simplify]: Simplify 1 into 1 20.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 20.230 * [backup-simplify]: Simplify (- 0) into 0 20.230 * [backup-simplify]: Simplify (+ 0 0) into 0 20.230 * [taylor]: Taking taylor expansion of 0 in b 20.230 * [backup-simplify]: Simplify 0 into 0 20.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.231 * [backup-simplify]: Simplify (- 0) into 0 20.231 * [backup-simplify]: Simplify 0 into 0 20.231 * [backup-simplify]: Simplify 0 into 0 20.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 20.232 * [backup-simplify]: Simplify (- 0) into 0 20.232 * [backup-simplify]: Simplify (+ 0 0) into 0 20.232 * [taylor]: Taking taylor expansion of 0 in b 20.232 * [backup-simplify]: Simplify 0 into 0 20.232 * [backup-simplify]: Simplify 0 into 0 20.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.233 * [backup-simplify]: Simplify (- 0) into 0 20.233 * [backup-simplify]: Simplify 0 into 0 20.233 * [backup-simplify]: Simplify 0 into 0 20.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 20.234 * [backup-simplify]: Simplify (- 0) into 0 20.234 * [backup-simplify]: Simplify (+ 0 0) into 0 20.234 * [taylor]: Taking taylor expansion of 0 in b 20.234 * [backup-simplify]: Simplify 0 into 0 20.234 * [backup-simplify]: Simplify 0 into 0 20.235 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 a))) (* -1 (* (/ 1 b) 1))) into (- (/ 1 a) (/ 1 b)) 20.235 * [backup-simplify]: Simplify (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) into (- a b) 20.235 * [approximate]: Taking taylor expansion of (- a b) in (a b) around 0 20.235 * [taylor]: Taking taylor expansion of (- a b) in b 20.235 * [taylor]: Taking taylor expansion of a in b 20.235 * [backup-simplify]: Simplify a into a 20.235 * [taylor]: Taking taylor expansion of b in b 20.235 * [backup-simplify]: Simplify 0 into 0 20.235 * [backup-simplify]: Simplify 1 into 1 20.235 * [taylor]: Taking taylor expansion of (- a b) in a 20.235 * [taylor]: Taking taylor expansion of a in a 20.235 * [backup-simplify]: Simplify 0 into 0 20.235 * [backup-simplify]: Simplify 1 into 1 20.235 * [taylor]: Taking taylor expansion of b in a 20.235 * [backup-simplify]: Simplify b into b 20.235 * [taylor]: Taking taylor expansion of (- a b) in a 20.235 * [taylor]: Taking taylor expansion of a in a 20.235 * [backup-simplify]: Simplify 0 into 0 20.235 * [backup-simplify]: Simplify 1 into 1 20.235 * [taylor]: Taking taylor expansion of b in a 20.235 * [backup-simplify]: Simplify b into b 20.235 * [backup-simplify]: Simplify (- b) into (- b) 20.235 * [backup-simplify]: Simplify (+ 0 (- b)) into (- b) 20.235 * [taylor]: Taking taylor expansion of (- b) in b 20.235 * [taylor]: Taking taylor expansion of b in b 20.235 * [backup-simplify]: Simplify 0 into 0 20.235 * [backup-simplify]: Simplify 1 into 1 20.235 * [backup-simplify]: Simplify (- 0) into 0 20.235 * [backup-simplify]: Simplify 0 into 0 20.236 * [backup-simplify]: Simplify (- 0) into 0 20.236 * [backup-simplify]: Simplify (+ 1 0) into 1 20.236 * [taylor]: Taking taylor expansion of 1 in b 20.236 * [backup-simplify]: Simplify 1 into 1 20.236 * [backup-simplify]: Simplify 1 into 1 20.236 * [backup-simplify]: Simplify (- 1) into -1 20.236 * [backup-simplify]: Simplify -1 into -1 20.236 * [backup-simplify]: Simplify (- 0) into 0 20.237 * [backup-simplify]: Simplify (+ 0 0) into 0 20.237 * [taylor]: Taking taylor expansion of 0 in b 20.237 * [backup-simplify]: Simplify 0 into 0 20.237 * [backup-simplify]: Simplify 0 into 0 20.237 * [backup-simplify]: Simplify 0 into 0 20.237 * [backup-simplify]: Simplify (- 0) into 0 20.237 * [backup-simplify]: Simplify 0 into 0 20.237 * [backup-simplify]: Simplify (- 0) into 0 20.238 * [backup-simplify]: Simplify (+ 0 0) into 0 20.238 * [taylor]: Taking taylor expansion of 0 in b 20.238 * [backup-simplify]: Simplify 0 into 0 20.238 * [backup-simplify]: Simplify 0 into 0 20.238 * [backup-simplify]: Simplify 0 into 0 20.238 * [backup-simplify]: Simplify 0 into 0 20.238 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 b) 1)) (* 1 (* 1 (/ 1 a)))) into (- (/ 1 a) (/ 1 b)) 20.238 * [backup-simplify]: Simplify (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) into (- b a) 20.238 * [approximate]: Taking taylor expansion of (- b a) in (a b) around 0 20.238 * [taylor]: Taking taylor expansion of (- b a) in b 20.238 * [taylor]: Taking taylor expansion of b in b 20.238 * [backup-simplify]: Simplify 0 into 0 20.238 * [backup-simplify]: Simplify 1 into 1 20.238 * [taylor]: Taking taylor expansion of a in b 20.238 * [backup-simplify]: Simplify a into a 20.238 * [taylor]: Taking taylor expansion of (- b a) in a 20.238 * [taylor]: Taking taylor expansion of b in a 20.238 * [backup-simplify]: Simplify b into b 20.238 * [taylor]: Taking taylor expansion of a in a 20.238 * [backup-simplify]: Simplify 0 into 0 20.238 * [backup-simplify]: Simplify 1 into 1 20.238 * [taylor]: Taking taylor expansion of (- b a) in a 20.238 * [taylor]: Taking taylor expansion of b in a 20.238 * [backup-simplify]: Simplify b into b 20.238 * [taylor]: Taking taylor expansion of a in a 20.238 * [backup-simplify]: Simplify 0 into 0 20.238 * [backup-simplify]: Simplify 1 into 1 20.238 * [backup-simplify]: Simplify (- 0) into 0 20.238 * [backup-simplify]: Simplify (+ b 0) into b 20.239 * [taylor]: Taking taylor expansion of b in b 20.239 * [backup-simplify]: Simplify 0 into 0 20.239 * [backup-simplify]: Simplify 1 into 1 20.239 * [backup-simplify]: Simplify 0 into 0 20.239 * [backup-simplify]: Simplify (- 1) into -1 20.239 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.239 * [taylor]: Taking taylor expansion of -1 in b 20.239 * [backup-simplify]: Simplify -1 into -1 20.239 * [backup-simplify]: Simplify -1 into -1 20.239 * [backup-simplify]: Simplify 1 into 1 20.239 * [backup-simplify]: Simplify (- 0) into 0 20.240 * [backup-simplify]: Simplify (+ 0 0) into 0 20.240 * [taylor]: Taking taylor expansion of 0 in b 20.240 * [backup-simplify]: Simplify 0 into 0 20.240 * [backup-simplify]: Simplify 0 into 0 20.240 * [backup-simplify]: Simplify 0 into 0 20.240 * [backup-simplify]: Simplify 0 into 0 20.240 * [backup-simplify]: Simplify (- 0) into 0 20.240 * [backup-simplify]: Simplify (+ 0 0) into 0 20.240 * [taylor]: Taking taylor expansion of 0 in b 20.240 * [backup-simplify]: Simplify 0 into 0 20.240 * [backup-simplify]: Simplify 0 into 0 20.240 * [backup-simplify]: Simplify 0 into 0 20.240 * [backup-simplify]: Simplify 0 into 0 20.240 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (- b)) 1)) (* -1 (* 1 (/ 1 (- a))))) into (- (/ 1 a) (/ 1 b)) 20.241 * * * [progress]: simplifying candidates 20.241 * * * * [progress]: [ 1 / 2249 ] simplifiying candidate # 20.241 * * * * [progress]: [ 2 / 2249 ] simplifiying candidate # 20.241 * * * * [progress]: [ 3 / 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[progress]: [ 1923 / 2249 ] simplifiying candidate # 20.367 * * * * [progress]: [ 1924 / 2249 ] simplifiying candidate # 20.367 * * * * [progress]: [ 1925 / 2249 ] simplifiying candidate # 20.367 * * * * [progress]: [ 1926 / 2249 ] simplifiying candidate # 20.367 * * * * [progress]: [ 1927 / 2249 ] simplifiying candidate # 20.367 * * * * [progress]: [ 1928 / 2249 ] simplifiying candidate # 20.367 * * * * [progress]: [ 1929 / 2249 ] simplifiying candidate # 20.367 * * * * [progress]: [ 1930 / 2249 ] simplifiying candidate # 20.367 * * * * [progress]: [ 1931 / 2249 ] simplifiying candidate # 20.367 * * * * [progress]: [ 1932 / 2249 ] simplifiying candidate # 20.367 * * * * [progress]: [ 1933 / 2249 ] simplifiying candidate # 20.367 * * * * [progress]: [ 1934 / 2249 ] simplifiying candidate # 20.367 * * * * [progress]: [ 1935 / 2249 ] simplifiying candidate # 20.367 * * * * [progress]: [ 1936 / 2249 ] simplifiying candidate # 20.367 * * * * [progress]: [ 1937 / 2249 ] simplifiying 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[progress]: [ 1967 / 2249 ] simplifiying candidate # 20.369 * * * * [progress]: [ 1968 / 2249 ] simplifiying candidate # 20.369 * * * * [progress]: [ 1969 / 2249 ] simplifiying candidate # 20.369 * * * * [progress]: [ 1970 / 2249 ] simplifiying candidate # 20.369 * * * * [progress]: [ 1971 / 2249 ] simplifiying candidate # 20.369 * * * * [progress]: [ 1972 / 2249 ] simplifiying candidate # 20.369 * * * * [progress]: [ 1973 / 2249 ] simplifiying candidate # 20.369 * * * * [progress]: [ 1974 / 2249 ] simplifiying candidate # 20.369 * * * * [progress]: [ 1975 / 2249 ] simplifiying candidate # 20.369 * * * * [progress]: [ 1976 / 2249 ] simplifiying candidate # 20.369 * * * * [progress]: [ 1977 / 2249 ] simplifiying candidate # 20.369 * * * * [progress]: [ 1978 / 2249 ] simplifiying candidate # 20.369 * * * * [progress]: [ 1979 / 2249 ] simplifiying candidate # 20.369 * * * * [progress]: [ 1980 / 2249 ] simplifiying candidate # 20.370 * * * * [progress]: [ 1981 / 2249 ] simplifiying 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[progress]: [ 2011 / 2249 ] simplifiying candidate # 20.371 * * * * [progress]: [ 2012 / 2249 ] simplifiying candidate # 20.371 * * * * [progress]: [ 2013 / 2249 ] simplifiying candidate # 20.371 * * * * [progress]: [ 2014 / 2249 ] simplifiying candidate # 20.371 * * * * [progress]: [ 2015 / 2249 ] simplifiying candidate # 20.371 * * * * [progress]: [ 2016 / 2249 ] simplifiying candidate # 20.371 * * * * [progress]: [ 2017 / 2249 ] simplifiying candidate # 20.371 * * * * [progress]: [ 2018 / 2249 ] simplifiying candidate # 20.371 * * * * [progress]: [ 2019 / 2249 ] simplifiying candidate # 20.372 * * * * [progress]: [ 2020 / 2249 ] simplifiying candidate # 20.372 * * * * [progress]: [ 2021 / 2249 ] simplifiying candidate # 20.372 * * * * [progress]: [ 2022 / 2249 ] simplifiying candidate # 20.372 * * * * [progress]: [ 2023 / 2249 ] simplifiying candidate #real (real->posit16 (/ (/ PI (/ (+ a b) (- (/ 1 a) (/ 1 b)))) (- b a))))))> 20.372 * * * * [progress]: [ 2024 / 2249 ] simplifiying 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[progress]: [ 2186 / 2249 ] simplifiying candidate # 20.381 * * * * [progress]: [ 2187 / 2249 ] simplifiying candidate # 20.381 * * * * [progress]: [ 2188 / 2249 ] simplifiying candidate # 20.381 * * * * [progress]: [ 2189 / 2249 ] simplifiying candidate # 20.381 * * * * [progress]: [ 2190 / 2249 ] simplifiying candidate # 20.381 * * * * [progress]: [ 2191 / 2249 ] simplifiying candidate # 20.381 * * * * [progress]: [ 2192 / 2249 ] simplifiying candidate # 20.381 * * * * [progress]: [ 2193 / 2249 ] simplifiying candidate # 20.381 * * * * [progress]: [ 2194 / 2249 ] simplifiying candidate # 20.381 * * * * [progress]: [ 2195 / 2249 ] simplifiying candidate # 20.381 * * * * [progress]: [ 2196 / 2249 ] simplifiying candidate # 20.381 * * * * [progress]: [ 2197 / 2249 ] simplifiying candidate # 20.381 * * * * [progress]: [ 2198 / 2249 ] simplifiying candidate # 20.382 * * * * [progress]: [ 2199 / 2249 ] simplifiying candidate # 20.382 * * * * [progress]: [ 2200 / 2249 ] simplifiying candidate # 20.382 * * * * [progress]: [ 2201 / 2249 ] simplifiying candidate # 20.382 * * * * [progress]: [ 2202 / 2249 ] simplifiying candidate # 20.382 * * * * [progress]: [ 2203 / 2249 ] simplifiying candidate # 20.382 * * * * [progress]: [ 2204 / 2249 ] simplifiying candidate # 20.382 * * * * [progress]: [ 2205 / 2249 ] simplifiying candidate # 20.382 * * * * [progress]: [ 2206 / 2249 ] simplifiying candidate # 20.382 * * * * [progress]: [ 2207 / 2249 ] simplifiying candidate # 20.382 * * * * [progress]: [ 2208 / 2249 ] simplifiying candidate # 20.382 * * * * [progress]: [ 2209 / 2249 ] simplifiying candidate # 20.382 * * * * [progress]: [ 2210 / 2249 ] simplifiying candidate # 20.382 * * * * [progress]: [ 2211 / 2249 ] simplifiying candidate # 20.382 * * * * [progress]: [ 2212 / 2249 ] simplifiying candidate # 20.382 * * * * [progress]: [ 2213 / 2249 ] simplifiying candidate # 20.382 * * * * [progress]: [ 2214 / 2249 ] simplifiying candidate # 20.382 * * * * [progress]: [ 2215 / 2249 ] simplifiying candidate # 20.382 * * * * [progress]: [ 2216 / 2249 ] simplifiying candidate # 20.382 * * * * [progress]: [ 2217 / 2249 ] simplifiying candidate # 20.382 * * * * [progress]: [ 2218 / 2249 ] simplifiying candidate # 20.382 * * * * [progress]: [ 2219 / 2249 ] simplifiying candidate # 20.383 * * * * [progress]: [ 2220 / 2249 ] simplifiying candidate # 20.383 * * * * [progress]: [ 2221 / 2249 ] simplifiying candidate # 20.383 * * * * [progress]: [ 2222 / 2249 ] simplifiying candidate # 20.383 * * * * [progress]: [ 2223 / 2249 ] simplifiying candidate # 20.383 * * * * [progress]: [ 2224 / 2249 ] simplifiying candidate # 20.383 * * * * [progress]: [ 2225 / 2249 ] simplifiying candidate # 20.383 * * * * [progress]: [ 2226 / 2249 ] simplifiying candidate # 20.383 * * * * [progress]: [ 2227 / 2249 ] simplifiying candidate # 20.383 * * * * [progress]: [ 2228 / 2249 ] simplifiying candidate # 20.383 * * * * [progress]: [ 2229 / 2249 ] simplifiying candidate # 20.383 * * * * [progress]: [ 2230 / 2249 ] simplifiying candidate # 20.383 * * * * [progress]: [ 2231 / 2249 ] simplifiying candidate # 20.383 * * * * [progress]: [ 2232 / 2249 ] simplifiying candidate # 20.383 * * * * [progress]: [ 2233 / 2249 ] simplifiying candidate # 20.383 * * * * [progress]: [ 2234 / 2249 ] simplifiying candidate # 20.383 * * * * [progress]: [ 2235 / 2249 ] simplifiying candidate # 20.383 * * * * [progress]: [ 2236 / 2249 ] simplifiying candidate # 20.383 * * * * [progress]: [ 2237 / 2249 ] simplifiying candidate #real (real->posit16 (- (/ 1 a) (/ 1 b)))))) (- b a))))> 20.383 * * * * [progress]: [ 2238 / 2249 ] simplifiying candidate # 20.383 * * * * [progress]: [ 2239 / 2249 ] simplifiying candidate # 20.383 * * * * [progress]: [ 2240 / 2249 ] simplifiying candidate # 20.383 * * * * [progress]: [ 2241 / 2249 ] simplifiying candidate # 20.384 * * * * [progress]: [ 2242 / 2249 ] simplifiying candidate # 20.384 * * * * [progress]: [ 2243 / 2249 ] simplifiying candidate # 20.384 * * * * [progress]: [ 2244 / 2249 ] simplifiying candidate # 20.384 * * * * [progress]: [ 2245 / 2249 ] simplifiying candidate # 20.384 * * * * [progress]: [ 2246 / 2249 ] simplifiying candidate # 20.384 * * * * [progress]: [ 2247 / 2249 ] simplifiying candidate # 20.384 * * * * [progress]: [ 2248 / 2249 ] simplifiying candidate # 20.384 * * * * [progress]: [ 2249 / 2249 ] simplifiying candidate # 20.429 * [simplify]: Simplifying: (expm1 (/ PI (/ (+ a b) (- (/ 1 a) (/ 1 b))))) (log1p (/ PI (/ (+ a b) (- (/ 1 a) (/ 1 b))))) (- (log PI) (- (log (+ a b)) (log (- (/ 1 a) (/ 1 b))))) (- (log PI) (log (/ (+ a b) (- (/ 1 a) (/ 1 b))))) (log (/ PI (/ (+ a b) (- (/ 1 a) (/ 1 b))))) (exp (/ PI (/ (+ a b) (- (/ 1 a) (/ 1 b))))) (/ (* (* PI PI) PI) (/ (* (* (+ a b) (+ a b)) (+ a b)) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))))) (/ (* (* PI PI) PI) (* (* (/ (+ a b) (- (/ 1 a) (/ 1 b))) (/ (+ a b) (- (/ 1 a) (/ 1 b)))) (/ (+ a b) (- (/ 1 a) (/ 1 b))))) (* (cbrt (/ PI (/ (+ a b) (- (/ 1 a) (/ 1 b))))) (cbrt (/ PI (/ (+ a b) (- (/ 1 a) (/ 1 b)))))) (cbrt (/ PI (/ (+ a b) (- (/ 1 a) (/ 1 b))))) (* (* (/ PI (/ (+ a b) (- (/ 1 a) (/ 1 b)))) (/ PI (/ (+ a b) (- (/ 1 a) (/ 1 b))))) (/ PI (/ (+ a b) (- (/ 1 a) (/ 1 b))))) (sqrt (/ PI (/ (+ a b) (- (/ 1 a) (/ 1 b))))) (sqrt (/ PI (/ (+ a b) (- (/ 1 a) (/ 1 b))))) (- PI) (- (/ (+ a b) (- (/ 1 a) (/ 1 b)))) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (/ (+ a b) (- (/ 1 a) (/ 1 b)))) (cbrt (/ (+ a b) (- (/ 1 a) (/ 1 b)))))) (/ (cbrt PI) (cbrt (/ (+ a b) (- (/ 1 a) (/ 1 b))))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (/ (+ a b) (- (/ 1 a) (/ 1 b))))) (/ (cbrt PI) (sqrt (/ (+ a b) (- (/ 1 a) (/ 1 b))))) (/ (* (cbrt PI) (cbrt PI)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))))) (/ (cbrt PI) (/ (cbrt (+ a b)) (cbrt (- (/ 1 a) (/ 1 b))))) (/ (* (cbrt PI) (cbrt PI)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (sqrt (- (/ 1 a) (/ 1 b))))) (/ (cbrt PI) (/ (cbrt (+ a b)) (sqrt (- (/ 1 a) (/ 1 b))))) (/ 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(sqrt b))))) (/ (* (cbrt PI) (cbrt PI)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (+ (/ (sqrt 1) (sqrt a)) (/ 1 (sqrt b))))) (/ (cbrt PI) (/ (cbrt (+ a b)) (- (/ (sqrt 1) (sqrt a)) (/ 1 (sqrt b))))) (/ (* (cbrt PI) (cbrt PI)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (+ (/ 1 (sqrt a)) (sqrt (/ 1 b))))) (/ (cbrt PI) (/ (cbrt (+ a b)) (- (/ 1 (sqrt a)) (sqrt (/ 1 b))))) (/ (* (cbrt PI) (cbrt PI)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (+ (/ 1 (sqrt a)) (/ (sqrt 1) (sqrt b))))) (/ (cbrt PI) (/ (cbrt (+ a b)) (- (/ 1 (sqrt a)) (/ (sqrt 1) (sqrt b))))) (/ (* (cbrt PI) (cbrt PI)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (+ (/ 1 (sqrt a)) (/ 1 (sqrt b))))) (/ (cbrt PI) (/ (cbrt (+ a b)) (- (/ 1 (sqrt a)) (/ 1 (sqrt b))))) (/ (* (cbrt PI) (cbrt PI)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (/ (* (cbrt 1) (cbrt 1)) 1))) (/ (cbrt PI) (/ (cbrt (+ a b)) (- (/ (cbrt 1) a) (/ (cbrt 1) b)))) (/ (* (cbrt PI) (cbrt PI)) (/ (* (cbrt (+ a b)) (cbrt (+ a b))) (/ (sqrt 1) 1))) (/ (cbrt PI) (/ (cbrt (+ a b)) (- (/ (sqrt 1) a) 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1 (+ (/ (sqrt 1) (sqrt a)) (sqrt (/ 1 b))))) (/ (cbrt PI) (/ (+ a b) (- (/ (sqrt 1) (sqrt a)) (sqrt (/ 1 b))))) (/ (* (cbrt PI) (cbrt PI)) (/ 1 (+ (/ (sqrt 1) (sqrt a)) (/ (sqrt 1) (sqrt b))))) (/ (cbrt PI) (/ (+ a b) (- (/ (sqrt 1) (sqrt a)) (/ (sqrt 1) (sqrt b))))) (/ (* (cbrt PI) (cbrt PI)) (/ 1 (+ (/ (sqrt 1) (sqrt a)) (/ 1 (sqrt b))))) (/ (cbrt PI) (/ (+ a b) (- (/ (sqrt 1) (sqrt a)) (/ 1 (sqrt b))))) (/ (* (cbrt PI) (cbrt PI)) (/ 1 (+ (/ 1 (sqrt a)) (sqrt (/ 1 b))))) (/ (cbrt PI) (/ (+ a b) (- (/ 1 (sqrt a)) (sqrt (/ 1 b))))) (/ (* (cbrt PI) (cbrt PI)) (/ 1 (+ (/ 1 (sqrt a)) (/ (sqrt 1) (sqrt b))))) (/ (cbrt PI) (/ (+ a b) (- (/ 1 (sqrt a)) (/ (sqrt 1) (sqrt b))))) (/ (* (cbrt PI) (cbrt PI)) (/ 1 (+ (/ 1 (sqrt a)) (/ 1 (sqrt b))))) (/ (cbrt PI) (/ (+ a b) (- (/ 1 (sqrt a)) (/ 1 (sqrt b))))) (/ (* (cbrt PI) (cbrt PI)) (/ 1 (/ (* (cbrt 1) (cbrt 1)) 1))) (/ (cbrt PI) (/ (+ a b) (- (/ (cbrt 1) a) (/ (cbrt 1) b)))) (/ (* (cbrt PI) (cbrt PI)) (/ 1 (/ (sqrt 1) 1))) (/ (cbrt PI) (/ (+ a 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(sqrt a)) (/ 1 (sqrt b))) (- (/ 1 (sqrt a)) (/ 1 (sqrt b))) (- (/ (cbrt 1) a) (/ (cbrt 1) b)) (- (/ (sqrt 1) a) (/ (sqrt 1) b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 b)) (real->posit16 (- (/ 1 a) (/ 1 b))) (/ PI (* a b)) (* -1 (/ PI (* a b))) (* -1 (/ PI (* a b))) (* a b) (* -1 (* a b)) (* -1 (* a b)) 0 0 0 (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) 20.562 * * [simplify]: iteration 1: (2215 enodes) 25.354 * * [simplify]: Extracting #0: cost 1030 inf + 0 25.361 * * [simplify]: Extracting #1: cost 3196 inf + 167 25.376 * * [simplify]: Extracting #2: cost 3255 inf + 3818 25.411 * * [simplify]: Extracting #3: cost 2784 inf + 76647 25.522 * * [simplify]: Extracting #4: cost 1798 inf + 403576 25.770 * * [simplify]: Extracting #5: cost 441 inf + 1016550 26.043 * * [simplify]: Extracting #6: cost 11 inf + 1226536 26.344 * * [simplify]: Extracting #7: cost 0 inf + 1231818 26.655 * [simplify]: Simplified to: 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(sqrt b))))) (+ (- (* (/ 1 (sqrt b)) (/ 1 (sqrt b)))) (* (/ 1 (sqrt b)) (/ 1 (sqrt b)))) (fma 1 (/ 1 a) (/ -1 b)) (+ (/ -1 b) (/ 1 b)) (fma 1 (/ 1 a) (* (/ 1 (cbrt b)) (- (/ (/ 1 (cbrt b)) (cbrt b))))) (fma (/ -1 (cbrt b)) (/ (/ 1 (cbrt b)) (cbrt b)) (* (/ 1 (cbrt b)) (/ (/ 1 (cbrt b)) (cbrt b)))) (fma 1 (/ 1 a) (- (* (/ 1 (sqrt b)) (/ 1 (sqrt b))))) (+ (- (* (/ 1 (sqrt b)) (/ 1 (sqrt b)))) (* (/ 1 (sqrt b)) (/ 1 (sqrt b)))) (fma 1 (/ 1 a) (/ -1 b)) (+ (/ -1 b) (/ 1 b)) (fma 1 (/ 1 a) (/ -1 b)) (+ (/ -1 b) (/ 1 b)) (fma 1 (/ 1 a) (/ -1 b)) (+ (/ -1 b) (/ 1 b)) (expm1 (- (/ 1 a) (/ 1 b))) (log1p (- (/ 1 a) (/ 1 b))) (/ -1 b) (/ -1 b) (/ -1 b) (/ -1 b) (/ -1 b) (/ -1 b) (/ -1 b) (/ -1 b) (/ -1 b) (/ -1 b) (/ -1 b) (/ -1 b) (/ -1 b) (exp (- (/ 1 a) (/ 1 b))) (log (- (/ 1 a) (/ 1 b))) (exp (- (/ 1 a) (/ 1 b))) (* (cbrt (- (/ 1 a) (/ 1 b))) (cbrt (- (/ 1 a) (/ 1 b)))) (cbrt (- (/ 1 a) (/ 1 b))) (* (* (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) (- (/ 1 a) (/ 1 b))) (sqrt (- (/ 1 a) (/ 1 b))) (sqrt (- (/ 1 a) (/ 1 b))) (- b a) (* b a) (- (* (/ 1 a) (* (/ 1 a) (/ 1 a))) (* (* (/ 1 b) (/ 1 b)) (/ 1 b))) (fma (/ 1 a) (/ 1 a) (* (/ 1 b) (+ (/ 1 b) (/ 1 a)))) (/ -1 b) (- (* (/ 1 a) (/ 1 a)) (* (/ 1 b) (/ 1 b))) (+ (/ 1 a) (/ 1 b)) (+ (sqrt (/ 1 b)) (sqrt (/ 1 a))) (- (sqrt (/ 1 a)) (sqrt (/ 1 b))) (+ (sqrt (/ 1 a)) (/ 1 (sqrt b))) (- (sqrt (/ 1 a)) (/ 1 (sqrt b))) (+ (sqrt (/ 1 a)) (/ 1 (sqrt b))) (- (sqrt (/ 1 a)) (/ 1 (sqrt b))) (+ (/ 1 (sqrt a)) (sqrt (/ 1 b))) (- (/ 1 (sqrt a)) (sqrt (/ 1 b))) (+ (/ 1 (sqrt a)) (/ 1 (sqrt b))) (- (/ 1 (sqrt a)) (/ 1 (sqrt b))) (+ (/ 1 (sqrt a)) (/ 1 (sqrt b))) (- (/ 1 (sqrt a)) (/ 1 (sqrt b))) (+ (/ 1 (sqrt a)) (sqrt (/ 1 b))) (- (/ 1 (sqrt a)) (sqrt (/ 1 b))) (+ (/ 1 (sqrt a)) (/ 1 (sqrt b))) (- (/ 1 (sqrt a)) (/ 1 (sqrt b))) (+ (/ 1 (sqrt a)) (/ 1 (sqrt b))) (- (/ 1 (sqrt a)) (/ 1 (sqrt b))) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (/ -1 b) (real->posit16 (- (/ 1 a) (/ 1 b))) (/ PI (* b a)) (- (/ PI (* b a))) (- (/ PI (* b a))) (* b a) (- (* b a)) (- (* b a)) 0 0 0 (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)) 27.212 * * * [progress]: adding candidates to table 56.171 * [progress]: [Phase 3 of 3] Extracting. 56.171 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 56.173 * * * [regime-changes]: Trying 2 branch expressions: (a b) 56.173 * * * * [regimes]: Trying to branch on a from (# # # # # # # # #) 56.223 * * * * [regimes]: Trying to branch on b from (# # # # # # # # #) 56.276 * * * [regime]: Found split indices: #